0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n123.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:50:38 CST 2018
7.43/7.59	% done 1409 iterations in 7.396s
7.43/7.59	% SZS status Theorem for 'stdin'
7.43/7.59	% SZS output start Refutation
7.43/7.60	tff(zf_stmt_144, conjecture,
7.43/7.60	  (app_encode_app(bool,$o,pp,
7.43/7.60	                  app_encode_app(dB,bool,
7.43/7.60	                                 app_encode_app(fun(dB,bool),
7.43/7.60	                                                app_encode_fun(dB,bool),
7.43/7.60	                                                aa(dB,bool),it),
7.43/7.60	                                 app_encode_app(list(dB),dB,
7.43/7.60	                                                app_encode_app(dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               list(dB),dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               fun(dB,
7.43/7.60	                                                                   fun(dB,dB)),
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               list(dB),dB)),
7.43/7.60	                                                               foldl(dB,dB),
7.43/7.60	                                                               app),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               nat,dB,
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               nat,dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               nat,dB)),
7.43/7.60	                                                               subst,r),s),
7.43/7.60	                                                               zero_zero(nat))),
7.43/7.60	                                                app_encode_app(list(dB),
7.43/7.60	                                                               list(dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               list(dB),
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               list(dB),
7.43/7.60	                                                               list(dB)),
7.43/7.60	                                                               append(dB),ss),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               list(dB),
7.43/7.60	                                                               list(dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               list(dB),
7.43/7.60	                                                               list(dB)),
7.43/7.60	                                                               cons(dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               nat,dB,var,i)),
7.43/7.60	                                                               nil(dB)))))))).
7.43/7.60	tff(zf_stmt_0, negated_conjecture,
7.43/7.60	  (~
7.43/7.60	    app_encode_app(bool,$o,pp,
7.43/7.60	                   app_encode_app(dB,bool,
7.43/7.60	                                  app_encode_app(fun(dB,bool),
7.43/7.60	                                                 app_encode_fun(dB,bool),
7.43/7.60	                                                 aa(dB,bool),it),
7.43/7.60	                                  app_encode_app(list(dB),dB,
7.43/7.60	                                                 app_encode_app(dB,
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                list(dB),dB),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                fun(dB,
7.43/7.60	                                                                    fun(
7.43/7.60	                                                                    dB,dB)),
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                dB,
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                list(dB),dB)),
7.43/7.60	                                                                foldl(dB,dB),
7.43/7.60	                                                                app),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                nat,dB,
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                dB,
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                nat,dB),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                dB,
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                dB,
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                nat,dB)),
7.43/7.60	                                                                subst,r),s),
7.43/7.60	                                                                zero_zero(
7.43/7.60	                                                                nat))),
7.43/7.60	                                                 app_encode_app(list(dB),
7.43/7.60	                                                                list(dB),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                list(dB),
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                list(dB),
7.43/7.60	                                                                list(dB)),
7.43/7.60	                                                                append(dB),ss),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                list(dB),
7.43/7.60	                                                                list(dB),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                dB,
7.43/7.60	                                                                app_encode_fun(
7.43/7.60	                                                                list(dB),
7.43/7.60	                                                                list(dB)),
7.43/7.60	                                                                cons(dB),
7.43/7.60	                                                                app_encode_app(
7.43/7.60	                                                                nat,dB,var,i)),
7.43/7.60	                                                                nil(dB)))))))).
7.43/7.60	tff('0', plain,
7.43/7.60	    ~ app_encode_app(bool, $o, pp, 
7.43/7.60	        app_encode_app(dB, bool, 
7.43/7.60	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.43/7.60	            aa(dB, bool), it), 
7.43/7.60	          app_encode_app(list(dB), dB, 
7.43/7.60	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	              app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                foldl(dB, dB), app), 
7.43/7.60	              app_encode_app(nat, dB, 
7.43/7.60	                app_encode_app(dB, app_encode_fun(nat, dB), 
7.43/7.60	                  app_encode_app(dB, 
7.43/7.60	                    app_encode_fun(dB, app_encode_fun(nat, dB)), subst, r), 
7.43/7.60	                  s), zero_zero(nat))), 
7.43/7.60	            app_encode_app(list(dB), list(dB), 
7.43/7.60	              app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                append(dB), ss), 
7.43/7.60	              app_encode_app(list(dB), list(dB), 
7.43/7.60	                app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                  cons(dB), app_encode_app(nat, dB, var, i)), nil(dB)))))),
7.43/7.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.43/7.60	tff(zf_stmt_89, axiom,
7.43/7.60	  (![A1:$tType,B:$tType,Xs1:list(B),X1:B]:
7.43/7.60	     ((app_encode_app(list(A1),list(A1),rotate1(A1),nil(A1)) = nil(A1)) & 
7.43/7.60	      (app_encode_app(list(B),list(B),rotate1(B),
7.43/7.60	                      app_encode_app(list(B),list(B),
7.43/7.60	                                     app_encode_app(B,
7.43/7.60	                                                    app_encode_fun(list(B),
7.43/7.60	                                                                   list(B)),
7.43/7.60	                                                    cons(B),X1),
7.43/7.60	                                     Xs1)) =
7.43/7.60	       app_encode_app(list(B),list(B),
7.43/7.60	                      app_encode_app(list(B),app_encode_fun(list(B),list(B)),
7.43/7.60	                                     append(B),Xs1),
7.43/7.60	                      app_encode_app(list(B),list(B),
7.43/7.60	                                     app_encode_app(B,
7.43/7.60	                                                    app_encode_fun(list(B),
7.43/7.60	                                                                   list(B)),
7.43/7.60	                                                    cons(B),X1),
7.43/7.60	                                     nil(B))))))).
7.43/7.60	tff('1', plain,
7.43/7.60	    ![X196 : $tType, X197 : list(X196), X198 : X196]:
7.43/7.60	      app_encode_app(list(X196), list(X196), rotate1(X196), 
7.43/7.60	        app_encode_app(list(X196), list(X196), 
7.43/7.60	          app_encode_app(X196, app_encode_fun(list(X196), list(X196)), 
7.43/7.60	            cons(X196), X198), X197))
7.43/7.60	       = app_encode_app(list(X196), list(X196), 
7.43/7.60	           app_encode_app(list(X196), 
7.43/7.60	             app_encode_fun(list(X196), list(X196)), append(X196), X197), 
7.43/7.60	           app_encode_app(list(X196), list(X196), 
7.43/7.60	             app_encode_app(X196, app_encode_fun(list(X196), list(X196)), 
7.43/7.60	               cons(X196), X198), nil(X196))),
7.43/7.60	    inference('cnf', [status(esa)], [zf_stmt_89])).
7.43/7.60	tff(zf_stmt_141, axiom,
7.43/7.60	  (app_encode_app(bool,$o,pp,
7.43/7.60	                  app_encode_app(dB,bool,
7.43/7.60	                                 app_encode_app(fun(dB,bool),
7.43/7.60	                                                app_encode_fun(dB,bool),
7.43/7.60	                                                aa(dB,bool),it),
7.43/7.60	                                 app_encode_app(dB,dB,
7.43/7.60	                                                app_encode_app(fun(dB,dB),
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               dB,dB),
7.43/7.60	                                                               aa(dB,dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,fun(dB,dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               fun(dB,
7.43/7.60	                                                                   fun(dB,dB)),
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               dB,fun(dB,dB)),
7.43/7.60	                                                               aa(dB,
7.43/7.60	                                                                  fun(dB,dB)),
7.43/7.60	                                                               app),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               list(dB),dB,
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               list(dB),dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               fun(dB,
7.43/7.60	                                                                   fun(dB,dB)),
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               list(dB),dB)),
7.43/7.60	                                                               foldl(dB,dB),
7.43/7.60	                                                               app),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               nat,dB,
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               nat,dB),
7.43/7.60	                                                               app_encode_app(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               dB,
7.43/7.60	                                                               app_encode_fun(
7.43/7.60	                                                               nat,dB)),
7.43/7.60	                                                               subst,r),s),
7.43/7.60	                                                               zero_zero(nat))),
7.43/7.60	                                                               ss))),
7.43/7.60	                                                app_encode_app(nat,dB,var,i)))))).
7.43/7.60	tff('2', plain,
7.43/7.60	    app_encode_app(bool, $o, pp, 
7.43/7.60	      app_encode_app(dB, bool, 
7.43/7.60	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.43/7.60	          aa(dB, bool), it), 
7.43/7.60	        app_encode_app(dB, dB, 
7.43/7.60	          app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
7.43/7.60	            app_encode_app(dB, fun(dB, dB), 
7.43/7.60	              app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
7.43/7.60	              app_encode_app(list(dB), dB, 
7.43/7.60	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                  app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                    foldl(dB, dB), app), 
7.43/7.60	                  app_encode_app(nat, dB, 
7.43/7.60	                    app_encode_app(dB, app_encode_fun(nat, dB), 
7.43/7.60	                      app_encode_app(dB, 
7.43/7.60	                        app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
7.43/7.60	                        r), s), zero_zero(nat))), ss))), 
7.43/7.60	          app_encode_app(nat, dB, var, i)))),
7.43/7.60	    inference('cnf', [status(esa)], [zf_stmt_141])).
7.43/7.60	tff(zf_stmt_43, axiom,
7.43/7.60	  (![Ts:list(dB),Ta:dB,S:dB,R:dB]:
7.43/7.60	     ((app_encode_app(dB,dB,
7.43/7.60	                      app_encode_app(fun(dB,dB),app_encode_fun(dB,dB),
7.43/7.60	                                     aa(dB,dB),
7.43/7.60	                                     app_encode_app(dB,fun(dB,dB),
7.43/7.60	                                                    app_encode_app(fun(
7.43/7.60	                                                                   dB,
7.43/7.60	                                                                   fun(dB,dB)),
7.43/7.60	                                                                   app_encode_fun(
7.43/7.60	                                                                   dB,
7.43/7.60	                                                                   fun(dB,dB)),
7.43/7.60	                                                                   aa(
7.43/7.60	                                                                   dB,
7.43/7.60	                                                                   fun(dB,dB)),
7.43/7.60	                                                                   app),
7.43/7.60	                                                    R)),
7.43/7.60	                      S) =
7.43/7.60	       app_encode_app(list(dB),dB,
7.43/7.60	                      app_encode_app(dB,app_encode_fun(list(dB),dB),
7.43/7.60	                                     app_encode_app(fun(dB,fun(dB,dB)),
7.43/7.60	                                                    app_encode_fun(dB,
7.43/7.60	                                                                   app_encode_fun(
7.43/7.60	                                                                   list(dB),
7.43/7.60	                                                                   dB)),
7.43/7.60	                                                    foldl(dB,dB),app),
7.43/7.60	                                     Ta),
7.43/7.60	                      Ts)) <=>
7.43/7.60	      (((Ts = nil(dB)) =>
7.43/7.60	        (app_encode_app(dB,dB,
7.43/7.60	                        app_encode_app(fun(dB,dB),app_encode_fun(dB,dB),
7.43/7.60	                                       aa(dB,dB),
7.43/7.60	                                       app_encode_app(dB,fun(dB,dB),
7.43/7.60	                                                      app_encode_app(
7.43/7.60	                                                      fun(dB,fun(dB,dB)),
7.43/7.60	                                                      app_encode_fun(
7.43/7.60	                                                      dB,fun(dB,dB)),
7.43/7.60	                                                      aa(dB,fun(dB,dB)),app),
7.43/7.60	                                                      R)),
7.43/7.60	                        S) =
7.43/7.60	         Ta)) & 
7.43/7.60	       ((Ts != nil(dB)) =>
7.43/7.60	        (?[Ss2:list(dB)]:
7.43/7.60	           ((Ts =
7.43/7.60	             app_encode_app(list(dB),list(dB),
7.43/7.60	                            app_encode_app(list(dB),
7.43/7.60	                                           app_encode_fun(list(dB),list(dB)),
7.43/7.60	                                           append(dB),Ss2),
7.43/7.60	                            app_encode_app(list(dB),list(dB),
7.43/7.60	                                           app_encode_app(dB,
7.43/7.60	                                                          app_encode_fun(
7.43/7.60	                                                          list(dB),list(dB)),
7.43/7.60	                                                          cons(dB),S),
7.43/7.60	                                           nil(dB)))) & 
7.43/7.60	            (R =
7.43/7.60	             app_encode_app(list(dB),dB,
7.43/7.60	                            app_encode_app(dB,app_encode_fun(list(dB),dB),
7.43/7.60	                                           app_encode_app(fun(dB,fun(dB,dB)),
7.43/7.60	                                                          app_encode_fun(
7.43/7.60	                                                          dB,
7.43/7.60	                                                          app_encode_fun(
7.43/7.60	                                                          list(dB),dB)),
7.43/7.60	                                                          foldl(dB,dB),app),
7.43/7.60	                                           Ta),
7.43/7.60	                            Ss2))))))))).
7.43/7.60	tff('3', plain,
7.43/7.60	    ![X19 : list(dB), X20 : dB, X22 : dB, X23 : dB, X24 : list(dB)]:
7.43/7.60	      (app_encode_app(dB, dB, 
7.43/7.60	         app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
7.43/7.60	           app_encode_app(dB, fun(dB, dB), 
7.43/7.60	             app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	               app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
7.43/7.60	             X23)), X22)
7.43/7.60	        = app_encode_app(list(dB), dB, 
7.43/7.60	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	              app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                foldl(dB, dB), app), X20), X19)
7.43/7.60	       | X23
7.43/7.60	          != app_encode_app(list(dB), dB, 
7.43/7.60	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                 app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                   foldl(dB, dB), app), X20), X24)
7.43/7.60	       | X19
7.43/7.60	          != app_encode_app(list(dB), list(dB), 
7.43/7.60	               app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                 append(dB), X24), 
7.43/7.60	               app_encode_app(list(dB), list(dB), 
7.43/7.60	                 app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                   cons(dB), X22), nil(dB)))
7.43/7.60	       | X19 = nil(dB)),
7.43/7.60	    inference('cnf', [status(esa)], [zf_stmt_43])).
7.43/7.60	tff('4', plain,
7.43/7.60	    ![X20 : dB, X22 : dB, X24 : list(dB)]:
7.43/7.60	      (app_encode_app(list(dB), list(dB), 
7.43/7.60	         app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
7.43/7.60	           append(dB), X24), 
7.43/7.60	         app_encode_app(list(dB), list(dB), 
7.43/7.60	           app_encode_app(dB, app_encode_fun(list(dB), list(dB)), cons(dB), 
7.43/7.60	             X22), nil(dB)))
7.43/7.60	        = nil(dB)
7.43/7.60	       | app_encode_app(dB, dB, 
7.43/7.60	           app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
7.43/7.60	             app_encode_app(dB, fun(dB, dB), 
7.43/7.60	               app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                 app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
7.43/7.60	               app_encode_app(list(dB), dB, 
7.43/7.60	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                   app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                     foldl(dB, dB), app), X20), X24))), X22)
7.43/7.60	          = app_encode_app(list(dB), dB, 
7.43/7.60	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                  foldl(dB, dB), app), X20), 
7.43/7.60	              app_encode_app(list(dB), list(dB), 
7.43/7.60	                app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                  append(dB), X24), 
7.43/7.60	                app_encode_app(list(dB), list(dB), 
7.43/7.60	                  app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                    cons(dB), X22), nil(dB))))),
7.43/7.60	    inference('simplify', [status(thm)], ['3'])).
7.43/7.60	tff('5', plain,
7.43/7.60	    ![X20 : dB, X22 : dB, X24 : list(dB)]:
7.43/7.60	      (app_encode_app(list(dB), list(dB), rotate1(dB), 
7.43/7.60	         app_encode_app(list(dB), list(dB), 
7.43/7.60	           app_encode_app(dB, app_encode_fun(list(dB), list(dB)), cons(dB), 
7.43/7.60	             X22), X24))
7.43/7.60	        = nil(dB)
7.43/7.60	       | app_encode_app(dB, dB, 
7.43/7.60	           app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
7.43/7.60	             app_encode_app(dB, fun(dB, dB), 
7.43/7.60	               app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                 app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
7.43/7.60	               app_encode_app(list(dB), dB, 
7.43/7.60	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                   app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                     foldl(dB, dB), app), X20), X24))), X22)
7.43/7.60	          = app_encode_app(list(dB), dB, 
7.43/7.60	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                  foldl(dB, dB), app), X20), 
7.43/7.60	              app_encode_app(list(dB), list(dB), rotate1(dB), 
7.43/7.60	                app_encode_app(list(dB), list(dB), 
7.43/7.60	                  app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                    cons(dB), X22), X24)))),
7.43/7.60	    inference('demod', [status(thm)], ['4', '1', '1'])).
7.43/7.60	tff(zf_stmt_48, axiom,
7.43/7.60	  (![A1:$tType,Ys:list(A1),Xs:list(A1)]:
7.43/7.60	     ((nil(A1) =
7.43/7.60	       app_encode_app(list(A1),list(A1),
7.43/7.60	                      app_encode_app(list(A1),
7.43/7.60	                                     app_encode_fun(list(A1),list(A1)),
7.43/7.60	                                     append(A1),Xs),
7.43/7.60	                      Ys)) <=>
7.43/7.60	      ((Xs = nil(A1)) & (Ys = nil(A1)))))).
7.43/7.60	tff('6', plain,
7.43/7.60	    ![X42 : $tType, X43 : list(X42), X44 : list(X42)]:
7.43/7.60	      (X44 = nil(X42)
7.43/7.60	       | nil(X42)
7.43/7.60	          != app_encode_app(list(X42), list(X42), 
7.43/7.60	               app_encode_app(list(X42), 
7.43/7.60	                 app_encode_fun(list(X42), list(X42)), append(X42), X43), 
7.43/7.60	               X44)),
7.43/7.60	    inference('cnf', [status(esa)], [zf_stmt_48])).
7.43/7.60	tff('7', plain,
7.43/7.60	    ![X0 : $tType, X1 : list(X0), X2 : X0]:
7.43/7.60	      (nil(X0)
7.43/7.60	        != app_encode_app(list(X0), list(X0), rotate1(X0), 
7.43/7.60	             app_encode_app(list(X0), list(X0), 
7.43/7.60	               app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
7.43/7.60	                 cons(X0), X2), X1))
7.43/7.60	       | app_encode_app(list(X0), list(X0), 
7.43/7.60	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
7.43/7.60	             X2), nil(X0))
7.43/7.60	          = nil(X0)),
7.43/7.60	    inference('sup-', [status(thm)], ['1', '6'])).
7.43/7.60	tff(zf_stmt_61, axiom,
7.43/7.60	  (![A1:$tType,Xs1:list(A1),X1:A1]:
7.43/7.60	     (app_encode_app(list(A1),list(A1),
7.43/7.60	                     app_encode_app(A1,app_encode_fun(list(A1),list(A1)),
7.43/7.60	                                    cons(A1),X1),
7.43/7.60	                     Xs1) !=
7.43/7.60	      Xs1))).
7.43/7.60	tff('8', plain,
7.43/7.60	    ![X98 : $tType, X99 : list(X98), X100 : X98]:
7.43/7.60	      app_encode_app(list(X98), list(X98), 
7.43/7.60	        app_encode_app(X98, app_encode_fun(list(X98), list(X98)), cons(X98), 
7.43/7.60	          X100), X99)
7.43/7.60	       != X99,
7.43/7.60	    inference('cnf', [status(esa)], [zf_stmt_61])).
7.43/7.60	tff('9', plain,
7.43/7.60	    ![X0 : $tType, X1 : list(X0), X2 : X0]:
7.43/7.60	      nil(X0)
7.43/7.60	       != app_encode_app(list(X0), list(X0), rotate1(X0), 
7.43/7.60	            app_encode_app(list(X0), list(X0), 
7.43/7.60	              app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
7.43/7.60	                cons(X0), X2), X1)),
7.43/7.60	    inference('simplify_reflect-', [status(thm)], ['7', '8'])).
7.43/7.60	tff('10', plain,
7.43/7.60	    ![X20 : dB, X22 : dB, X24 : list(dB)]:
7.43/7.60	      app_encode_app(dB, dB, 
7.43/7.60	        app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
7.43/7.60	          app_encode_app(dB, fun(dB, dB), 
7.43/7.60	            app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	              app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
7.43/7.60	            app_encode_app(list(dB), dB, 
7.43/7.60	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	                app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	                  foldl(dB, dB), app), X20), X24))), X22)
7.43/7.60	       = app_encode_app(list(dB), dB, 
7.43/7.60	           app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	             app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	               app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	               foldl(dB, dB), app), X20), 
7.43/7.60	           app_encode_app(list(dB), list(dB), rotate1(dB), 
7.43/7.60	             app_encode_app(list(dB), list(dB), 
7.43/7.60	               app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                 cons(dB), X22), X24))),
7.43/7.60	    inference('clc', [status(thm)], ['5', '9'])).
7.43/7.60	tff('11', plain,
7.43/7.60	    app_encode_app(bool, $o, pp, 
7.43/7.60	      app_encode_app(dB, bool, 
7.43/7.60	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.43/7.60	          aa(dB, bool), it), 
7.43/7.60	        app_encode_app(list(dB), dB, 
7.43/7.60	          app_encode_app(dB, app_encode_fun(list(dB), dB), 
7.43/7.60	            app_encode_app(fun(dB, fun(dB, dB)), 
7.43/7.60	              app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
7.43/7.60	              foldl(dB, dB), app), 
7.43/7.60	            app_encode_app(nat, dB, 
7.43/7.60	              app_encode_app(dB, app_encode_fun(nat, dB), 
7.43/7.60	                app_encode_app(dB, 
7.43/7.60	                  app_encode_fun(dB, app_encode_fun(nat, dB)), subst, r), s), 
7.43/7.60	              zero_zero(nat))), 
7.43/7.60	          app_encode_app(list(dB), list(dB), rotate1(dB), 
7.43/7.60	            app_encode_app(list(dB), list(dB), 
7.43/7.60	              app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
7.43/7.60	                cons(dB), app_encode_app(nat, dB, var, i)), ss))))),
7.43/7.60	    inference('demod', [status(thm)], ['2', '10'])).
7.43/7.60	tff('12', plain, ~ $true, inference('demod', [status(thm)], ['0', '1', '11'])).
7.43/7.60	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
7.43/7.60	
7.43/7.60	% SZS output end Refutation
7.43/7.60	EOF
