0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n093.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:50:53 CST 2018
5.65/5.85	% done 1398 iterations in 5.659s
5.65/5.85	% SZS status Theorem for 'stdin'
5.65/5.85	% SZS output start Refutation
5.65/5.86	tff(zf_stmt_144, conjecture,
5.65/5.86	  (app_encode_app(bool,$o,pp,
5.65/5.86	                  app_encode_app(dB,bool,
5.65/5.86	                                 app_encode_app(fun(dB,bool),
5.65/5.86	                                                app_encode_fun(dB,bool),
5.65/5.86	                                                aa(dB,bool),it),
5.65/5.86	                                 app_encode_app(list(dB),dB,
5.65/5.86	                                                app_encode_app(dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               list(dB),dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               fun(dB,
5.65/5.86	                                                                   fun(dB,dB)),
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               list(dB),dB)),
5.65/5.86	                                                               foldl(dB,dB),
5.65/5.86	                                                               app),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               nat,dB,
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               nat,dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               nat,dB)),
5.65/5.86	                                                               subst,r),s),
5.65/5.86	                                                               zero_zero(nat))),
5.65/5.86	                                                app_encode_app(list(dB),
5.65/5.86	                                                               list(dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               list(dB),
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               list(dB),
5.65/5.86	                                                               list(dB)),
5.65/5.86	                                                               append(dB),ss),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               list(dB),
5.65/5.86	                                                               list(dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               list(dB),
5.65/5.86	                                                               list(dB)),
5.65/5.86	                                                               cons(dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               nat,dB,var,i)),
5.65/5.86	                                                               nil(dB)))))))).
5.65/5.86	tff(zf_stmt_0, negated_conjecture,
5.65/5.86	  (~
5.65/5.86	    app_encode_app(bool,$o,pp,
5.65/5.86	                   app_encode_app(dB,bool,
5.65/5.86	                                  app_encode_app(fun(dB,bool),
5.65/5.86	                                                 app_encode_fun(dB,bool),
5.65/5.86	                                                 aa(dB,bool),it),
5.65/5.86	                                  app_encode_app(list(dB),dB,
5.65/5.86	                                                 app_encode_app(dB,
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                list(dB),dB),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                fun(dB,
5.65/5.86	                                                                    fun(
5.65/5.86	                                                                    dB,dB)),
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                dB,
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                list(dB),dB)),
5.65/5.86	                                                                foldl(dB,dB),
5.65/5.86	                                                                app),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                nat,dB,
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                dB,
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                nat,dB),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                dB,
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                dB,
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                nat,dB)),
5.65/5.86	                                                                subst,r),s),
5.65/5.86	                                                                zero_zero(
5.65/5.86	                                                                nat))),
5.65/5.86	                                                 app_encode_app(list(dB),
5.65/5.86	                                                                list(dB),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                list(dB),
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                list(dB),
5.65/5.86	                                                                list(dB)),
5.65/5.86	                                                                append(dB),ss),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                list(dB),
5.65/5.86	                                                                list(dB),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                dB,
5.65/5.86	                                                                app_encode_fun(
5.65/5.86	                                                                list(dB),
5.65/5.86	                                                                list(dB)),
5.65/5.86	                                                                cons(dB),
5.65/5.86	                                                                app_encode_app(
5.65/5.86	                                                                nat,dB,var,i)),
5.65/5.86	                                                                nil(dB)))))))).
5.65/5.86	tff('0', plain,
5.65/5.86	    ~ app_encode_app(bool, $o, pp, 
5.65/5.86	        app_encode_app(dB, bool, 
5.65/5.86	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.65/5.86	            aa(dB, bool), it), 
5.65/5.86	          app_encode_app(list(dB), dB, 
5.65/5.86	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	              app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                foldl(dB, dB), app), 
5.65/5.86	              app_encode_app(nat, dB, 
5.65/5.86	                app_encode_app(dB, app_encode_fun(nat, dB), 
5.65/5.86	                  app_encode_app(dB, 
5.65/5.86	                    app_encode_fun(dB, app_encode_fun(nat, dB)), subst, r), 
5.65/5.86	                  s), zero_zero(nat))), 
5.65/5.86	            app_encode_app(list(dB), list(dB), 
5.65/5.86	              app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                append(dB), ss), 
5.65/5.86	              app_encode_app(list(dB), list(dB), 
5.65/5.86	                app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                  cons(dB), app_encode_app(nat, dB, var, i)), nil(dB)))))),
5.65/5.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.65/5.86	tff(zf_stmt_89, axiom,
5.65/5.86	  (![A1:$tType,B:$tType,Xs1:list(B),X1:B]:
5.65/5.86	     ((app_encode_app(list(A1),list(A1),rotate1(A1),nil(A1)) = nil(A1)) & 
5.65/5.86	      (app_encode_app(list(B),list(B),rotate1(B),
5.65/5.86	                      app_encode_app(list(B),list(B),
5.65/5.86	                                     app_encode_app(B,
5.65/5.86	                                                    app_encode_fun(list(B),
5.65/5.86	                                                                   list(B)),
5.65/5.86	                                                    cons(B),X1),
5.65/5.86	                                     Xs1)) =
5.65/5.86	       app_encode_app(list(B),list(B),
5.65/5.86	                      app_encode_app(list(B),app_encode_fun(list(B),list(B)),
5.65/5.86	                                     append(B),Xs1),
5.65/5.86	                      app_encode_app(list(B),list(B),
5.65/5.86	                                     app_encode_app(B,
5.65/5.86	                                                    app_encode_fun(list(B),
5.65/5.86	                                                                   list(B)),
5.65/5.86	                                                    cons(B),X1),
5.65/5.86	                                     nil(B))))))).
5.65/5.86	tff('1', plain,
5.65/5.86	    ![X196 : $tType, X197 : list(X196), X198 : X196]:
5.65/5.86	      app_encode_app(list(X196), list(X196), rotate1(X196), 
5.65/5.86	        app_encode_app(list(X196), list(X196), 
5.65/5.86	          app_encode_app(X196, app_encode_fun(list(X196), list(X196)), 
5.65/5.86	            cons(X196), X198), X197))
5.65/5.86	       = app_encode_app(list(X196), list(X196), 
5.65/5.86	           app_encode_app(list(X196), 
5.65/5.86	             app_encode_fun(list(X196), list(X196)), append(X196), X197), 
5.65/5.86	           app_encode_app(list(X196), list(X196), 
5.65/5.86	             app_encode_app(X196, app_encode_fun(list(X196), list(X196)), 
5.65/5.86	               cons(X196), X198), nil(X196))),
5.65/5.86	    inference('cnf', [status(esa)], [zf_stmt_89])).
5.65/5.86	tff(zf_stmt_141, axiom,
5.65/5.86	  (app_encode_app(bool,$o,pp,
5.65/5.86	                  app_encode_app(dB,bool,
5.65/5.86	                                 app_encode_app(fun(dB,bool),
5.65/5.86	                                                app_encode_fun(dB,bool),
5.65/5.86	                                                aa(dB,bool),it),
5.65/5.86	                                 app_encode_app(dB,dB,
5.65/5.86	                                                app_encode_app(fun(dB,dB),
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               dB,dB),
5.65/5.86	                                                               aa(dB,dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,fun(dB,dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               fun(dB,
5.65/5.86	                                                                   fun(dB,dB)),
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               dB,fun(dB,dB)),
5.65/5.86	                                                               aa(dB,
5.65/5.86	                                                                  fun(dB,dB)),
5.65/5.86	                                                               app),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               list(dB),dB,
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               list(dB),dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               fun(dB,
5.65/5.86	                                                                   fun(dB,dB)),
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               list(dB),dB)),
5.65/5.86	                                                               foldl(dB,dB),
5.65/5.86	                                                               app),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               nat,dB,
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               nat,dB),
5.65/5.86	                                                               app_encode_app(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               dB,
5.65/5.86	                                                               app_encode_fun(
5.65/5.86	                                                               nat,dB)),
5.65/5.86	                                                               subst,r),s),
5.65/5.86	                                                               zero_zero(nat))),
5.65/5.86	                                                               ss))),
5.65/5.86	                                                app_encode_app(nat,dB,var,i)))))).
5.65/5.86	tff('2', plain,
5.65/5.86	    app_encode_app(bool, $o, pp, 
5.65/5.86	      app_encode_app(dB, bool, 
5.65/5.86	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.65/5.86	          aa(dB, bool), it), 
5.65/5.86	        app_encode_app(dB, dB, 
5.65/5.86	          app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.65/5.86	            app_encode_app(dB, fun(dB, dB), 
5.65/5.86	              app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.65/5.86	              app_encode_app(list(dB), dB, 
5.65/5.86	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	                  app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                    foldl(dB, dB), app), 
5.65/5.86	                  app_encode_app(nat, dB, 
5.65/5.86	                    app_encode_app(dB, app_encode_fun(nat, dB), 
5.65/5.86	                      app_encode_app(dB, 
5.65/5.86	                        app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
5.65/5.86	                        r), s), zero_zero(nat))), ss))), 
5.65/5.86	          app_encode_app(nat, dB, var, i)))),
5.65/5.86	    inference('cnf', [status(esa)], [zf_stmt_141])).
5.65/5.86	tff(zf_stmt_43, axiom,
5.65/5.86	  (![Ts:list(dB),Ta:dB,S:dB,R:dB]:
5.65/5.86	     ((app_encode_app(dB,dB,
5.65/5.86	                      app_encode_app(fun(dB,dB),app_encode_fun(dB,dB),
5.65/5.86	                                     aa(dB,dB),
5.65/5.86	                                     app_encode_app(dB,fun(dB,dB),
5.65/5.86	                                                    app_encode_app(fun(
5.65/5.86	                                                                   dB,
5.65/5.86	                                                                   fun(dB,dB)),
5.65/5.86	                                                                   app_encode_fun(
5.65/5.86	                                                                   dB,
5.65/5.86	                                                                   fun(dB,dB)),
5.65/5.86	                                                                   aa(
5.65/5.86	                                                                   dB,
5.65/5.86	                                                                   fun(dB,dB)),
5.65/5.86	                                                                   app),
5.65/5.86	                                                    R)),
5.65/5.86	                      S) =
5.65/5.86	       app_encode_app(list(dB),dB,
5.65/5.86	                      app_encode_app(dB,app_encode_fun(list(dB),dB),
5.65/5.86	                                     app_encode_app(fun(dB,fun(dB,dB)),
5.65/5.86	                                                    app_encode_fun(dB,
5.65/5.86	                                                                   app_encode_fun(
5.65/5.86	                                                                   list(dB),
5.65/5.86	                                                                   dB)),
5.65/5.86	                                                    foldl(dB,dB),app),
5.65/5.86	                                     Ta),
5.65/5.86	                      Ts)) <=>
5.65/5.86	      (((Ts = nil(dB)) =>
5.65/5.86	        (app_encode_app(dB,dB,
5.65/5.86	                        app_encode_app(fun(dB,dB),app_encode_fun(dB,dB),
5.65/5.86	                                       aa(dB,dB),
5.65/5.86	                                       app_encode_app(dB,fun(dB,dB),
5.65/5.86	                                                      app_encode_app(
5.65/5.86	                                                      fun(dB,fun(dB,dB)),
5.65/5.86	                                                      app_encode_fun(
5.65/5.86	                                                      dB,fun(dB,dB)),
5.65/5.86	                                                      aa(dB,fun(dB,dB)),app),
5.65/5.86	                                                      R)),
5.65/5.86	                        S) =
5.65/5.86	         Ta)) & 
5.65/5.86	       ((Ts != nil(dB)) =>
5.65/5.86	        (?[Ss2:list(dB)]:
5.65/5.86	           ((Ts =
5.65/5.86	             app_encode_app(list(dB),list(dB),
5.65/5.86	                            app_encode_app(list(dB),
5.65/5.86	                                           app_encode_fun(list(dB),list(dB)),
5.65/5.86	                                           append(dB),Ss2),
5.65/5.86	                            app_encode_app(list(dB),list(dB),
5.65/5.86	                                           app_encode_app(dB,
5.65/5.86	                                                          app_encode_fun(
5.65/5.86	                                                          list(dB),list(dB)),
5.65/5.86	                                                          cons(dB),S),
5.65/5.86	                                           nil(dB)))) & 
5.65/5.86	            (R =
5.65/5.86	             app_encode_app(list(dB),dB,
5.65/5.86	                            app_encode_app(dB,app_encode_fun(list(dB),dB),
5.65/5.86	                                           app_encode_app(fun(dB,fun(dB,dB)),
5.65/5.86	                                                          app_encode_fun(
5.65/5.86	                                                          dB,
5.65/5.86	                                                          app_encode_fun(
5.65/5.86	                                                          list(dB),dB)),
5.65/5.86	                                                          foldl(dB,dB),app),
5.65/5.86	                                           Ta),
5.65/5.86	                            Ss2))))))))).
5.65/5.86	tff('3', plain,
5.65/5.86	    ![X19 : list(dB), X20 : dB, X22 : dB, X23 : dB, X24 : list(dB)]:
5.65/5.86	      (app_encode_app(dB, dB, 
5.65/5.86	         app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.65/5.86	           app_encode_app(dB, fun(dB, dB), 
5.65/5.86	             app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	               app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.65/5.86	             X23)), X22)
5.65/5.86	        = app_encode_app(list(dB), dB, 
5.65/5.86	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	              app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                foldl(dB, dB), app), X20), X19)
5.65/5.86	       | X23
5.65/5.86	          != app_encode_app(list(dB), dB, 
5.65/5.86	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	                 app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                   foldl(dB, dB), app), X20), X24)
5.65/5.86	       | X19
5.65/5.86	          != app_encode_app(list(dB), list(dB), 
5.65/5.86	               app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                 append(dB), X24), 
5.65/5.86	               app_encode_app(list(dB), list(dB), 
5.65/5.86	                 app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                   cons(dB), X22), nil(dB)))
5.65/5.86	       | X19 = nil(dB)),
5.65/5.86	    inference('cnf', [status(esa)], [zf_stmt_43])).
5.65/5.86	tff('4', plain,
5.65/5.86	    ![X20 : dB, X22 : dB, X24 : list(dB)]:
5.65/5.86	      (app_encode_app(list(dB), list(dB), 
5.65/5.86	         app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.65/5.86	           append(dB), X24), 
5.65/5.86	         app_encode_app(list(dB), list(dB), 
5.65/5.86	           app_encode_app(dB, app_encode_fun(list(dB), list(dB)), cons(dB), 
5.65/5.86	             X22), nil(dB)))
5.65/5.86	        = nil(dB)
5.65/5.86	       | app_encode_app(dB, dB, 
5.65/5.86	           app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.65/5.86	             app_encode_app(dB, fun(dB, dB), 
5.65/5.86	               app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                 app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.65/5.86	               app_encode_app(list(dB), dB, 
5.65/5.86	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	                   app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                     foldl(dB, dB), app), X20), X24))), X22)
5.65/5.86	          = app_encode_app(list(dB), dB, 
5.65/5.86	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	                app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                  foldl(dB, dB), app), X20), 
5.65/5.86	              app_encode_app(list(dB), list(dB), 
5.65/5.86	                app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                  append(dB), X24), 
5.65/5.86	                app_encode_app(list(dB), list(dB), 
5.65/5.86	                  app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                    cons(dB), X22), nil(dB))))),
5.65/5.86	    inference('simplify', [status(thm)], ['3'])).
5.65/5.86	tff(zf_stmt_93, axiom,
5.65/5.86	  (![A1:$tType,Xs:list(A1)]:
5.65/5.86	     ((app_encode_app(list(A1),list(A1),rotate1(A1),Xs) = nil(A1)) <=>
5.65/5.86	      (Xs = nil(A1))))).
5.65/5.86	tff('5', plain,
5.65/5.86	    ![X211 : $tType, X212 : list(X211)]:
5.65/5.86	      (X212 = nil(X211)
5.65/5.86	       | app_encode_app(list(X211), list(X211), rotate1(X211), X212)
5.65/5.86	          != nil(X211)),
5.65/5.86	    inference('cnf', [status(esa)], [zf_stmt_93])).
5.65/5.86	tff('6', plain,
5.65/5.86	    ![X0 : $tType, X1 : X0, X2 : list(X0)]:
5.65/5.86	      (app_encode_app(list(X0), list(X0), 
5.65/5.86	         app_encode_app(list(X0), app_encode_fun(list(X0), list(X0)), 
5.65/5.86	           append(X0), X2), 
5.65/5.86	         app_encode_app(list(X0), list(X0), 
5.65/5.86	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
5.65/5.86	             X1), nil(X0)))
5.65/5.86	        != nil(X0)
5.65/5.86	       | app_encode_app(list(X0), list(X0), 
5.65/5.86	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
5.65/5.86	             X1), X2)
5.65/5.86	          = nil(X0)),
5.65/5.86	    inference('sup-', [status(thm)], ['1', '5'])).
5.65/5.86	tff(zf_stmt_65, axiom,
5.65/5.86	  (![A1:$tType,List2:list(A1),A5:A1]:
5.65/5.86	     (app_encode_app(list(A1),list(A1),
5.65/5.86	                     app_encode_app(A1,app_encode_fun(list(A1),list(A1)),
5.65/5.86	                                    cons(A1),A5),
5.65/5.86	                     List2) !=
5.65/5.86	      nil(A1)))).
5.65/5.86	tff('7', plain,
5.65/5.86	    ![X118 : $tType, X119 : X118, X120 : list(X118)]:
5.65/5.86	      app_encode_app(list(X118), list(X118), 
5.65/5.86	        app_encode_app(X118, app_encode_fun(list(X118), list(X118)), 
5.65/5.86	          cons(X118), X119), X120)
5.65/5.86	       != nil(X118),
5.65/5.86	    inference('cnf', [status(esa)], [zf_stmt_65])).
5.65/5.86	tff('8', plain,
5.65/5.86	    ![X0 : $tType, X1 : X0, X2 : list(X0)]:
5.65/5.86	      app_encode_app(list(X0), list(X0), 
5.65/5.86	        app_encode_app(list(X0), app_encode_fun(list(X0), list(X0)), 
5.65/5.86	          append(X0), X2), 
5.65/5.86	        app_encode_app(list(X0), list(X0), 
5.65/5.86	          app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
5.65/5.86	            X1), nil(X0)))
5.65/5.86	       != nil(X0),
5.65/5.86	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
5.65/5.86	tff('9', plain,
5.65/5.86	    ![X20 : dB, X22 : dB, X24 : list(dB)]:
5.65/5.86	      app_encode_app(dB, dB, 
5.65/5.86	        app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.65/5.86	          app_encode_app(dB, fun(dB, dB), 
5.65/5.86	            app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	              app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.65/5.86	            app_encode_app(list(dB), dB, 
5.65/5.86	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	                app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	                  foldl(dB, dB), app), X20), X24))), X22)
5.65/5.86	       = app_encode_app(list(dB), dB, 
5.65/5.86	           app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	             app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	               app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	               foldl(dB, dB), app), X20), 
5.65/5.86	           app_encode_app(list(dB), list(dB), 
5.65/5.86	             app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.65/5.86	               append(dB), X24), 
5.65/5.86	             app_encode_app(list(dB), list(dB), 
5.65/5.86	               app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                 cons(dB), X22), nil(dB)))),
5.65/5.86	    inference('simplify_reflect-', [status(thm)], ['4', '8'])).
5.65/5.86	tff('10', plain,
5.65/5.86	    app_encode_app(bool, $o, pp, 
5.65/5.86	      app_encode_app(dB, bool, 
5.65/5.86	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.65/5.86	          aa(dB, bool), it), 
5.65/5.86	        app_encode_app(list(dB), dB, 
5.65/5.86	          app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.65/5.86	            app_encode_app(fun(dB, fun(dB, dB)), 
5.65/5.86	              app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.65/5.86	              foldl(dB, dB), app), 
5.65/5.86	            app_encode_app(nat, dB, 
5.65/5.86	              app_encode_app(dB, app_encode_fun(nat, dB), 
5.65/5.86	                app_encode_app(dB, 
5.65/5.86	                  app_encode_fun(dB, app_encode_fun(nat, dB)), subst, r), s), 
5.65/5.86	              zero_zero(nat))), 
5.65/5.86	          app_encode_app(list(dB), list(dB), rotate1(dB), 
5.65/5.86	            app_encode_app(list(dB), list(dB), 
5.65/5.86	              app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.65/5.86	                cons(dB), app_encode_app(nat, dB, var, i)), ss))))),
5.65/5.86	    inference('demod', [status(thm)], ['2', '9', '1'])).
5.65/5.86	tff('11', plain, ~ $true, inference('demod', [status(thm)], ['0', '1', '10'])).
5.65/5.86	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
5.65/5.86	
5.65/5.86	% SZS output end Refutation
5.65/5.86	EOF
