0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n106.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:50:53 CST 2018
5.64/5.82	% done 1404 iterations in 5.619s
5.64/5.82	% SZS status Theorem for 'stdin'
5.64/5.82	% SZS output start Refutation
5.64/5.82	tff(zf_stmt_145, conjecture,
5.64/5.82	  (app_encode_app(bool,$o,pp,
5.64/5.82	                  app_encode_app(dB,bool,
5.64/5.82	                                 app_encode_app(fun(dB,bool),
5.64/5.82	                                                app_encode_fun(dB,bool),
5.64/5.82	                                                aa(dB,bool),it),
5.64/5.82	                                 app_encode_app(list(dB),dB,
5.64/5.82	                                                app_encode_app(dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               list(dB),dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               fun(dB,
5.64/5.82	                                                                   fun(dB,dB)),
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               list(dB),dB)),
5.64/5.82	                                                               foldl(dB,dB),
5.64/5.82	                                                               app),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               nat,dB,
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               nat,dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               nat,dB)),
5.64/5.82	                                                               subst,r),s),
5.64/5.82	                                                               zero_zero(nat))),
5.64/5.82	                                                app_encode_app(list(dB),
5.64/5.82	                                                               list(dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               list(dB),
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               list(dB),
5.64/5.82	                                                               list(dB)),
5.64/5.82	                                                               append(dB),ss),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               list(dB),
5.64/5.82	                                                               list(dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               list(dB),
5.64/5.82	                                                               list(dB)),
5.64/5.82	                                                               cons(dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               nat,dB,var,i)),
5.64/5.82	                                                               nil(dB)))))))).
5.64/5.82	tff(zf_stmt_0, negated_conjecture,
5.64/5.82	  (~
5.64/5.82	    app_encode_app(bool,$o,pp,
5.64/5.82	                   app_encode_app(dB,bool,
5.64/5.82	                                  app_encode_app(fun(dB,bool),
5.64/5.82	                                                 app_encode_fun(dB,bool),
5.64/5.82	                                                 aa(dB,bool),it),
5.64/5.82	                                  app_encode_app(list(dB),dB,
5.64/5.82	                                                 app_encode_app(dB,
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                list(dB),dB),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                fun(dB,
5.64/5.82	                                                                    fun(
5.64/5.82	                                                                    dB,dB)),
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                dB,
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                list(dB),dB)),
5.64/5.82	                                                                foldl(dB,dB),
5.64/5.82	                                                                app),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                nat,dB,
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                dB,
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                nat,dB),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                dB,
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                dB,
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                nat,dB)),
5.64/5.82	                                                                subst,r),s),
5.64/5.82	                                                                zero_zero(
5.64/5.82	                                                                nat))),
5.64/5.82	                                                 app_encode_app(list(dB),
5.64/5.82	                                                                list(dB),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                list(dB),
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                list(dB),
5.64/5.82	                                                                list(dB)),
5.64/5.82	                                                                append(dB),ss),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                list(dB),
5.64/5.82	                                                                list(dB),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                dB,
5.64/5.82	                                                                app_encode_fun(
5.64/5.82	                                                                list(dB),
5.64/5.82	                                                                list(dB)),
5.64/5.82	                                                                cons(dB),
5.64/5.82	                                                                app_encode_app(
5.64/5.82	                                                                nat,dB,var,i)),
5.64/5.82	                                                                nil(dB)))))))).
5.64/5.82	tff('0', plain,
5.64/5.82	    ~ app_encode_app(bool, $o, pp, 
5.64/5.82	        app_encode_app(dB, bool, 
5.64/5.82	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.64/5.82	            aa(dB, bool), it), 
5.64/5.82	          app_encode_app(list(dB), dB, 
5.64/5.82	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	              app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                foldl(dB, dB), app), 
5.64/5.82	              app_encode_app(nat, dB, 
5.64/5.82	                app_encode_app(dB, app_encode_fun(nat, dB), 
5.64/5.82	                  app_encode_app(dB, 
5.64/5.82	                    app_encode_fun(dB, app_encode_fun(nat, dB)), subst, r), 
5.64/5.82	                  s), zero_zero(nat))), 
5.64/5.82	            app_encode_app(list(dB), list(dB), 
5.64/5.82	              app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                append(dB), ss), 
5.64/5.82	              app_encode_app(list(dB), list(dB), 
5.64/5.82	                app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                  cons(dB), app_encode_app(nat, dB, var, i)), nil(dB)))))),
5.64/5.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.64/5.82	tff(zf_stmt_90, axiom,
5.64/5.82	  (![A1:$tType,B:$tType,Xs1:list(B),X1:B]:
5.64/5.82	     ((app_encode_app(list(A1),list(A1),rotate1(A1),nil(A1)) = nil(A1)) & 
5.64/5.82	      (app_encode_app(list(B),list(B),rotate1(B),
5.64/5.82	                      app_encode_app(list(B),list(B),
5.64/5.82	                                     app_encode_app(B,
5.64/5.82	                                                    app_encode_fun(list(B),
5.64/5.82	                                                                   list(B)),
5.64/5.82	                                                    cons(B),X1),
5.64/5.82	                                     Xs1)) =
5.64/5.82	       app_encode_app(list(B),list(B),
5.64/5.82	                      app_encode_app(list(B),app_encode_fun(list(B),list(B)),
5.64/5.82	                                     append(B),Xs1),
5.64/5.82	                      app_encode_app(list(B),list(B),
5.64/5.82	                                     app_encode_app(B,
5.64/5.82	                                                    app_encode_fun(list(B),
5.64/5.82	                                                                   list(B)),
5.64/5.82	                                                    cons(B),X1),
5.64/5.82	                                     nil(B))))))).
5.64/5.82	tff('1', plain,
5.64/5.82	    ![X200 : $tType, X201 : list(X200), X202 : X200]:
5.64/5.82	      app_encode_app(list(X200), list(X200), rotate1(X200), 
5.64/5.82	        app_encode_app(list(X200), list(X200), 
5.64/5.82	          app_encode_app(X200, app_encode_fun(list(X200), list(X200)), 
5.64/5.82	            cons(X200), X202), X201))
5.64/5.82	       = app_encode_app(list(X200), list(X200), 
5.64/5.82	           app_encode_app(list(X200), 
5.64/5.82	             app_encode_fun(list(X200), list(X200)), append(X200), X201), 
5.64/5.82	           app_encode_app(list(X200), list(X200), 
5.64/5.82	             app_encode_app(X200, app_encode_fun(list(X200), list(X200)), 
5.64/5.82	               cons(X200), X202), nil(X200))),
5.64/5.82	    inference('cnf', [status(esa)], [zf_stmt_90])).
5.64/5.82	tff(zf_stmt_142, axiom,
5.64/5.82	  (app_encode_app(bool,$o,pp,
5.64/5.82	                  app_encode_app(dB,bool,
5.64/5.82	                                 app_encode_app(fun(dB,bool),
5.64/5.82	                                                app_encode_fun(dB,bool),
5.64/5.82	                                                aa(dB,bool),it),
5.64/5.82	                                 app_encode_app(dB,dB,
5.64/5.82	                                                app_encode_app(fun(dB,dB),
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               dB,dB),
5.64/5.82	                                                               aa(dB,dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,fun(dB,dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               fun(dB,
5.64/5.82	                                                                   fun(dB,dB)),
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               dB,fun(dB,dB)),
5.64/5.82	                                                               aa(dB,
5.64/5.82	                                                                  fun(dB,dB)),
5.64/5.82	                                                               app),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               list(dB),dB,
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               list(dB),dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               fun(dB,
5.64/5.82	                                                                   fun(dB,dB)),
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               list(dB),dB)),
5.64/5.82	                                                               foldl(dB,dB),
5.64/5.82	                                                               app),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               nat,dB,
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               nat,dB),
5.64/5.82	                                                               app_encode_app(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               dB,
5.64/5.82	                                                               app_encode_fun(
5.64/5.82	                                                               nat,dB)),
5.64/5.82	                                                               subst,r),s),
5.64/5.82	                                                               zero_zero(nat))),
5.64/5.82	                                                               ss))),
5.64/5.82	                                                app_encode_app(nat,dB,var,i)))))).
5.64/5.82	tff('2', plain,
5.64/5.82	    app_encode_app(bool, $o, pp, 
5.64/5.82	      app_encode_app(dB, bool, 
5.64/5.82	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.64/5.82	          aa(dB, bool), it), 
5.64/5.82	        app_encode_app(dB, dB, 
5.64/5.82	          app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.64/5.82	            app_encode_app(dB, fun(dB, dB), 
5.64/5.82	              app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.64/5.82	              app_encode_app(list(dB), dB, 
5.64/5.82	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	                  app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                    foldl(dB, dB), app), 
5.64/5.82	                  app_encode_app(nat, dB, 
5.64/5.82	                    app_encode_app(dB, app_encode_fun(nat, dB), 
5.64/5.82	                      app_encode_app(dB, 
5.64/5.82	                        app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
5.64/5.82	                        r), s), zero_zero(nat))), ss))), 
5.64/5.82	          app_encode_app(nat, dB, var, i)))),
5.64/5.82	    inference('cnf', [status(esa)], [zf_stmt_142])).
5.64/5.82	tff(zf_stmt_44, axiom,
5.64/5.82	  (![Ts:list(dB),Ta:dB,S:dB,R:dB]:
5.64/5.82	     ((app_encode_app(dB,dB,
5.64/5.82	                      app_encode_app(fun(dB,dB),app_encode_fun(dB,dB),
5.64/5.82	                                     aa(dB,dB),
5.64/5.82	                                     app_encode_app(dB,fun(dB,dB),
5.64/5.82	                                                    app_encode_app(fun(
5.64/5.82	                                                                   dB,
5.64/5.82	                                                                   fun(dB,dB)),
5.64/5.82	                                                                   app_encode_fun(
5.64/5.82	                                                                   dB,
5.64/5.82	                                                                   fun(dB,dB)),
5.64/5.82	                                                                   aa(
5.64/5.82	                                                                   dB,
5.64/5.82	                                                                   fun(dB,dB)),
5.64/5.82	                                                                   app),
5.64/5.82	                                                    R)),
5.64/5.82	                      S) =
5.64/5.82	       app_encode_app(list(dB),dB,
5.64/5.82	                      app_encode_app(dB,app_encode_fun(list(dB),dB),
5.64/5.82	                                     app_encode_app(fun(dB,fun(dB,dB)),
5.64/5.82	                                                    app_encode_fun(dB,
5.64/5.82	                                                                   app_encode_fun(
5.64/5.82	                                                                   list(dB),
5.64/5.82	                                                                   dB)),
5.64/5.82	                                                    foldl(dB,dB),app),
5.64/5.82	                                     Ta),
5.64/5.82	                      Ts)) <=>
5.64/5.82	      (((Ts = nil(dB)) =>
5.64/5.82	        (app_encode_app(dB,dB,
5.64/5.82	                        app_encode_app(fun(dB,dB),app_encode_fun(dB,dB),
5.64/5.82	                                       aa(dB,dB),
5.64/5.82	                                       app_encode_app(dB,fun(dB,dB),
5.64/5.82	                                                      app_encode_app(
5.64/5.82	                                                      fun(dB,fun(dB,dB)),
5.64/5.82	                                                      app_encode_fun(
5.64/5.82	                                                      dB,fun(dB,dB)),
5.64/5.82	                                                      aa(dB,fun(dB,dB)),app),
5.64/5.82	                                                      R)),
5.64/5.82	                        S) =
5.64/5.82	         Ta)) & 
5.64/5.82	       ((Ts != nil(dB)) =>
5.64/5.82	        (?[Ss2:list(dB)]:
5.64/5.82	           ((Ts =
5.64/5.82	             app_encode_app(list(dB),list(dB),
5.64/5.82	                            app_encode_app(list(dB),
5.64/5.82	                                           app_encode_fun(list(dB),list(dB)),
5.64/5.82	                                           append(dB),Ss2),
5.64/5.82	                            app_encode_app(list(dB),list(dB),
5.64/5.82	                                           app_encode_app(dB,
5.64/5.82	                                                          app_encode_fun(
5.64/5.82	                                                          list(dB),list(dB)),
5.64/5.82	                                                          cons(dB),S),
5.64/5.82	                                           nil(dB)))) & 
5.64/5.82	            (R =
5.64/5.82	             app_encode_app(list(dB),dB,
5.64/5.82	                            app_encode_app(dB,app_encode_fun(list(dB),dB),
5.64/5.82	                                           app_encode_app(fun(dB,fun(dB,dB)),
5.64/5.82	                                                          app_encode_fun(
5.64/5.82	                                                          dB,
5.64/5.82	                                                          app_encode_fun(
5.64/5.82	                                                          list(dB),dB)),
5.64/5.82	                                                          foldl(dB,dB),app),
5.64/5.82	                                           Ta),
5.64/5.82	                            Ss2))))))))).
5.64/5.82	tff('3', plain,
5.64/5.82	    ![X23 : list(dB), X24 : dB, X26 : dB, X27 : dB, X28 : list(dB)]:
5.64/5.82	      (app_encode_app(dB, dB, 
5.64/5.82	         app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.64/5.82	           app_encode_app(dB, fun(dB, dB), 
5.64/5.82	             app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	               app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.64/5.82	             X27)), X26)
5.64/5.82	        = app_encode_app(list(dB), dB, 
5.64/5.82	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	              app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                foldl(dB, dB), app), X24), X23)
5.64/5.82	       | X27
5.64/5.82	          != app_encode_app(list(dB), dB, 
5.64/5.82	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	                 app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                   foldl(dB, dB), app), X24), X28)
5.64/5.82	       | X23
5.64/5.82	          != app_encode_app(list(dB), list(dB), 
5.64/5.82	               app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                 append(dB), X28), 
5.64/5.82	               app_encode_app(list(dB), list(dB), 
5.64/5.82	                 app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                   cons(dB), X26), nil(dB)))
5.64/5.82	       | X23 = nil(dB)),
5.64/5.82	    inference('cnf', [status(esa)], [zf_stmt_44])).
5.64/5.82	tff('4', plain,
5.64/5.82	    ![X24 : dB, X26 : dB, X28 : list(dB)]:
5.64/5.82	      (app_encode_app(list(dB), list(dB), 
5.64/5.82	         app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.64/5.82	           append(dB), X28), 
5.64/5.82	         app_encode_app(list(dB), list(dB), 
5.64/5.82	           app_encode_app(dB, app_encode_fun(list(dB), list(dB)), cons(dB), 
5.64/5.82	             X26), nil(dB)))
5.64/5.82	        = nil(dB)
5.64/5.82	       | app_encode_app(dB, dB, 
5.64/5.82	           app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.64/5.82	             app_encode_app(dB, fun(dB, dB), 
5.64/5.82	               app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                 app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.64/5.82	               app_encode_app(list(dB), dB, 
5.64/5.82	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	                   app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                     foldl(dB, dB), app), X24), X28))), X26)
5.64/5.82	          = app_encode_app(list(dB), dB, 
5.64/5.82	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	                app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                  foldl(dB, dB), app), X24), 
5.64/5.82	              app_encode_app(list(dB), list(dB), 
5.64/5.82	                app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                  append(dB), X28), 
5.64/5.82	                app_encode_app(list(dB), list(dB), 
5.64/5.82	                  app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                    cons(dB), X26), nil(dB))))),
5.64/5.82	    inference('simplify', [status(thm)], ['3'])).
5.64/5.82	tff(zf_stmt_94, axiom,
5.64/5.82	  (![A1:$tType,Xs:list(A1)]:
5.64/5.82	     ((app_encode_app(list(A1),list(A1),rotate1(A1),Xs) = nil(A1)) <=>
5.64/5.82	      (Xs = nil(A1))))).
5.64/5.82	tff('5', plain,
5.64/5.82	    ![X215 : $tType, X216 : list(X215)]:
5.64/5.82	      (X216 = nil(X215)
5.64/5.82	       | app_encode_app(list(X215), list(X215), rotate1(X215), X216)
5.64/5.82	          != nil(X215)),
5.64/5.82	    inference('cnf', [status(esa)], [zf_stmt_94])).
5.64/5.82	tff('6', plain,
5.64/5.82	    ![X0 : $tType, X1 : X0, X2 : list(X0)]:
5.64/5.82	      (app_encode_app(list(X0), list(X0), 
5.64/5.82	         app_encode_app(list(X0), app_encode_fun(list(X0), list(X0)), 
5.64/5.82	           append(X0), X2), 
5.64/5.82	         app_encode_app(list(X0), list(X0), 
5.64/5.82	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
5.64/5.82	             X1), nil(X0)))
5.64/5.82	        != nil(X0)
5.64/5.82	       | app_encode_app(list(X0), list(X0), 
5.64/5.82	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
5.64/5.82	             X1), X2)
5.64/5.82	          = nil(X0)),
5.64/5.82	    inference('sup-', [status(thm)], ['1', '5'])).
5.64/5.82	tff(zf_stmt_66, axiom,
5.64/5.82	  (![A1:$tType,List2:list(A1),A5:A1]:
5.64/5.82	     (app_encode_app(list(A1),list(A1),
5.64/5.82	                     app_encode_app(A1,app_encode_fun(list(A1),list(A1)),
5.64/5.82	                                    cons(A1),A5),
5.64/5.82	                     List2) !=
5.64/5.82	      nil(A1)))).
5.64/5.82	tff('7', plain,
5.64/5.82	    ![X122 : $tType, X123 : X122, X124 : list(X122)]:
5.64/5.82	      app_encode_app(list(X122), list(X122), 
5.64/5.82	        app_encode_app(X122, app_encode_fun(list(X122), list(X122)), 
5.64/5.82	          cons(X122), X123), X124)
5.64/5.82	       != nil(X122),
5.64/5.82	    inference('cnf', [status(esa)], [zf_stmt_66])).
5.64/5.82	tff('8', plain,
5.64/5.82	    ![X0 : $tType, X1 : X0, X2 : list(X0)]:
5.64/5.82	      app_encode_app(list(X0), list(X0), 
5.64/5.82	        app_encode_app(list(X0), app_encode_fun(list(X0), list(X0)), 
5.64/5.82	          append(X0), X2), 
5.64/5.82	        app_encode_app(list(X0), list(X0), 
5.64/5.82	          app_encode_app(X0, app_encode_fun(list(X0), list(X0)), cons(X0), 
5.64/5.82	            X1), nil(X0)))
5.64/5.82	       != nil(X0),
5.64/5.82	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
5.64/5.82	tff('9', plain,
5.64/5.82	    ![X24 : dB, X26 : dB, X28 : list(dB)]:
5.64/5.82	      app_encode_app(dB, dB, 
5.64/5.82	        app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.64/5.82	          app_encode_app(dB, fun(dB, dB), 
5.64/5.82	            app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	              app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), app), 
5.64/5.82	            app_encode_app(list(dB), dB, 
5.64/5.82	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	                app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	                  foldl(dB, dB), app), X24), X28))), X26)
5.64/5.82	       = app_encode_app(list(dB), dB, 
5.64/5.82	           app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	             app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	               app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	               foldl(dB, dB), app), X24), 
5.64/5.82	           app_encode_app(list(dB), list(dB), 
5.64/5.82	             app_encode_app(list(dB), app_encode_fun(list(dB), list(dB)), 
5.64/5.82	               append(dB), X28), 
5.64/5.82	             app_encode_app(list(dB), list(dB), 
5.64/5.82	               app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                 cons(dB), X26), nil(dB)))),
5.64/5.82	    inference('simplify_reflect-', [status(thm)], ['4', '8'])).
5.64/5.82	tff('10', plain,
5.64/5.82	    app_encode_app(bool, $o, pp, 
5.64/5.82	      app_encode_app(dB, bool, 
5.64/5.82	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.64/5.82	          aa(dB, bool), it), 
5.64/5.82	        app_encode_app(list(dB), dB, 
5.64/5.82	          app_encode_app(dB, app_encode_fun(list(dB), dB), 
5.64/5.82	            app_encode_app(fun(dB, fun(dB, dB)), 
5.64/5.82	              app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
5.64/5.82	              foldl(dB, dB), app), 
5.64/5.82	            app_encode_app(nat, dB, 
5.64/5.82	              app_encode_app(dB, app_encode_fun(nat, dB), 
5.64/5.82	                app_encode_app(dB, 
5.64/5.82	                  app_encode_fun(dB, app_encode_fun(nat, dB)), subst, r), s), 
5.64/5.82	              zero_zero(nat))), 
5.64/5.82	          app_encode_app(list(dB), list(dB), rotate1(dB), 
5.64/5.82	            app_encode_app(list(dB), list(dB), 
5.64/5.82	              app_encode_app(dB, app_encode_fun(list(dB), list(dB)), 
5.64/5.82	                cons(dB), app_encode_app(nat, dB, var, i)), ss))))),
5.64/5.82	    inference('demod', [status(thm)], ['2', '9', '1'])).
5.64/5.82	tff('11', plain, ~ $true, inference('demod', [status(thm)], ['0', '1', '10'])).
5.64/5.82	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
5.64/5.82	
5.64/5.82	% SZS output end Refutation
5.64/5.83	EOF
