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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n079.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:10:25 CST 2018
9.65/9.83	% done 2404 iterations in 9.625s
9.65/9.83	% SZS status Theorem for 'stdin'
9.65/9.83	% SZS output start Refutation
9.65/9.83	tff(zf_stmt_64, axiom,
9.65/9.83	  (![A:$tType,Ta1:A,Eb:fun1(nat,A),J1:nat,Ib:nat]:
9.65/9.83	     ((Ib = J1) =>
9.65/9.83	      (app_encode_app(nat,A,
9.65/9.83	                      app_encode_app(fun1(nat,A),app_encode_fun(nat,A),
9.65/9.83	                                     aa(nat,A),
9.65/9.83	                                     app_encode_app(A,fun1(nat,A),
9.65/9.83	                                                    app_encode_app(nat,
9.65/9.83	                                                                   app_encode_fun(
9.65/9.83	                                                                   A,
9.65/9.83	                                                                   fun1(
9.65/9.83	                                                                   nat,A)),
9.65/9.83	                                                                   app_encode_app(
9.65/9.83	                                                                   fun1(
9.65/9.83	                                                                   nat,A),
9.65/9.83	                                                                   app_encode_fun(
9.65/9.83	                                                                   nat,
9.65/9.83	                                                                   app_encode_fun(
9.65/9.83	                                                                   A,
9.65/9.83	                                                                   fun1(
9.65/9.83	                                                                   nat,A))),
9.65/9.83	                                                                   shift(A),
9.65/9.83	                                                                   Eb),Ib),
9.65/9.83	                                                    Ta1)),
9.65/9.83	                      J1) =
9.65/9.83	       Ta1)))).
9.65/9.83	tff('0', plain,
9.65/9.83	    ![X14 : $tType, X15 : X14, X16 : fun1(nat, X14), X17 : nat, X18 : nat]:
9.65/9.83	      (app_encode_app(nat, X14, 
9.65/9.83	         app_encode_app(fun1(nat, X14), app_encode_fun(nat, X14), 
9.65/9.83	           aa(nat, X14), 
9.65/9.83	           app_encode_app(X14, fun1(nat, X14), 
9.65/9.83	             app_encode_app(nat, app_encode_fun(X14, fun1(nat, X14)), 
9.65/9.83	               app_encode_app(fun1(nat, X14), 
9.65/9.83	                 app_encode_fun(nat, app_encode_fun(X14, fun1(nat, X14))), 
9.65/9.83	                 shift(X14), X16), X17), X15)), X18)
9.65/9.83	        = X15
9.65/9.83	       | X17 != X18),
9.65/9.83	    inference('cnf', [status(esa)], [zf_stmt_64])).
9.65/9.83	tff('1', plain,
9.65/9.83	    ![X14 : $tType, X15 : X14, X16 : fun1(nat, X14), X18 : nat]:
9.65/9.83	      app_encode_app(nat, X14, 
9.65/9.83	        app_encode_app(fun1(nat, X14), app_encode_fun(nat, X14), 
9.65/9.83	          aa(nat, X14), 
9.65/9.83	          app_encode_app(X14, fun1(nat, X14), 
9.65/9.83	            app_encode_app(nat, app_encode_fun(X14, fun1(nat, X14)), 
9.65/9.83	              app_encode_app(fun1(nat, X14), 
9.65/9.83	                app_encode_fun(nat, app_encode_fun(X14, fun1(nat, X14))), 
9.65/9.83	                shift(X14), X16), X18), X15)), X18)
9.65/9.83	       = X15,
9.65/9.83	    inference('simplify', [status(thm)], ['0'])).
9.65/9.83	tff(zf_stmt_55, axiom,
9.65/9.83	  (![Ta1:type,X1:nat,Env:fun1(nat,type)]:
9.65/9.83	     ((app_encode_app(nat,type,
9.65/9.83	                      app_encode_app(fun1(nat,type),app_encode_fun(nat,type),
9.65/9.83	                                     aa(nat,type),Env),
9.65/9.83	                      X1) =
9.65/9.83	       Ta1) =>
9.65/9.83	      app_encode_app(bool,$o,pp,
9.65/9.83	                     app_encode_app(type,bool,
9.65/9.83	                                    app_encode_app(fun1(type,bool),
9.65/9.83	                                                   app_encode_fun(type,bool),
9.65/9.83	                                                   aa(type,bool),
9.65/9.83	                                                   app_encode_app(dB,
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  type,bool),
9.65/9.83	                                                                  app_encode_app(
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  dB,
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  type,bool)),
9.65/9.83	                                                                  app_encode_fun(
9.65/9.83	                                                                  dB,
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  type,bool)),
9.65/9.83	                                                                  aa(
9.65/9.83	                                                                  dB,
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  type,bool)),
9.65/9.83	                                                                  app_encode_app(
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  nat,type),
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  dB,
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  type,bool)),
9.65/9.83	                                                                  typing,Env)),
9.65/9.83	                                                                  app_encode_app(
9.65/9.83	                                                                  nat,dB,var,
9.65/9.83	                                                                  X1))),
9.65/9.83	                                    Ta1))))).
9.65/9.83	tff('2', plain,
9.65/9.83	    ![X0 : fun1(nat, type), X1 : nat, X2 : type]:
9.65/9.83	      (app_encode_app(bool, $o, pp, 
9.65/9.83	         app_encode_app(type, bool, 
9.65/9.83	           app_encode_app(fun1(type, bool), app_encode_fun(type, bool), 
9.65/9.83	             aa(type, bool), 
9.65/9.83	             app_encode_app(dB, fun1(type, bool), 
9.65/9.83	               app_encode_app(fun1(dB, fun1(type, bool)), 
9.65/9.83	                 app_encode_fun(dB, fun1(type, bool)), 
9.65/9.83	                 aa(dB, fun1(type, bool)), 
9.65/9.83	                 app_encode_app(fun1(nat, type), fun1(dB, fun1(type, bool)), 
9.65/9.83	                   typing, X0)), app_encode_app(nat, dB, var, X1))), X2))
9.65/9.83	       | app_encode_app(nat, type, 
9.65/9.83	           app_encode_app(fun1(nat, type), app_encode_fun(nat, type), 
9.65/9.83	             aa(nat, type), X0), X1)
9.65/9.83	          != X2),
9.65/9.83	    inference('cnf', [status(esa)], [zf_stmt_55])).
9.65/9.83	tff('3', plain,
9.65/9.83	    ![X0 : fun1(nat, type), X1 : nat]:
9.65/9.83	      app_encode_app(bool, $o, pp, 
9.65/9.83	        app_encode_app(type, bool, 
9.65/9.83	          app_encode_app(fun1(type, bool), app_encode_fun(type, bool), 
9.65/9.83	            aa(type, bool), 
9.65/9.83	            app_encode_app(dB, fun1(type, bool), 
9.65/9.83	              app_encode_app(fun1(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_fun(dB, fun1(type, bool)), 
9.65/9.83	                aa(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_app(fun1(nat, type), fun1(dB, fun1(type, bool)), 
9.65/9.83	                  typing, X0)), app_encode_app(nat, dB, var, X1))), 
9.65/9.83	          app_encode_app(nat, type, 
9.65/9.83	            app_encode_app(fun1(nat, type), app_encode_fun(nat, type), 
9.65/9.83	              aa(nat, type), X0), X1))),
9.65/9.83	    inference('simplify', [status(thm)], ['2'])).
9.65/9.83	tff('4', plain,
9.65/9.83	    ![X0 : type, X1 : nat, X2 : fun1(nat, type)]:
9.65/9.83	      app_encode_app(bool, $o, pp, 
9.65/9.83	        app_encode_app(type, bool, 
9.65/9.83	          app_encode_app(fun1(type, bool), app_encode_fun(type, bool), 
9.65/9.83	            aa(type, bool), 
9.65/9.83	            app_encode_app(dB, fun1(type, bool), 
9.65/9.83	              app_encode_app(fun1(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_fun(dB, fun1(type, bool)), 
9.65/9.83	                aa(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_app(fun1(nat, type), fun1(dB, fun1(type, bool)), 
9.65/9.83	                  typing, 
9.65/9.83	                  app_encode_app(type, fun1(nat, type), 
9.65/9.83	                    app_encode_app(nat, 
9.65/9.83	                      app_encode_fun(type, fun1(nat, type)), 
9.65/9.83	                      app_encode_app(fun1(nat, type), 
9.65/9.83	                        app_encode_fun(nat, 
9.65/9.83	                          app_encode_fun(type, fun1(nat, type))), 
9.65/9.83	                        shift(type), X2), X1), X0))), 
9.65/9.83	              app_encode_app(nat, dB, var, X1))), X0)),
9.65/9.83	    inference('sup+', [status(thm)], ['1', '3'])).
9.65/9.83	tff(zf_stmt_158, axiom,
9.65/9.83	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun1(A,fun1(B,C))]:
9.65/9.83	     (app_encode_app(A,C,
9.65/9.83	                     app_encode_app(fun1(A,C),app_encode_fun(A,C),aa(A,C),
9.65/9.83	                                    app_encode_app(B,fun1(A,C),
9.65/9.83	                                                   app_encode_app(fun1(
9.65/9.83	                                                                  A,fun1(B,C)),
9.65/9.83	                                                                  app_encode_fun(
9.65/9.83	                                                                  B,fun1(A,C)),
9.65/9.83	                                                                  combc(
9.65/9.83	                                                                  A,B,C),P),
9.65/9.83	                                                   Q)),
9.65/9.83	                     R) =
9.65/9.83	      app_encode_app(B,C,
9.65/9.83	                     app_encode_app(fun1(B,C),app_encode_fun(B,C),aa(B,C),
9.65/9.83	                                    app_encode_app(A,fun1(B,C),
9.65/9.83	                                                   app_encode_app(fun1(
9.65/9.83	                                                                  A,fun1(B,C)),
9.65/9.83	                                                                  app_encode_fun(
9.65/9.83	                                                                  A,fun1(B,C)),
9.65/9.83	                                                                  aa(
9.65/9.83	                                                                  A,fun1(B,C)),
9.65/9.83	                                                                  P),
9.65/9.83	                                                   R)),
9.65/9.83	                     Q)))).
9.65/9.83	tff('5', plain,
9.65/9.83	    ![X310 : $tType, X311 : $tType, X312 : $tType, 
9.65/9.83	      X313 : fun1(X312, fun1(X310, X311)), X314 : X312, X315 : X310]:
9.65/9.83	      app_encode_app(X312, X311, 
9.65/9.83	        app_encode_app(fun1(X312, X311), app_encode_fun(X312, X311), 
9.65/9.83	          aa(X312, X311), 
9.65/9.83	          app_encode_app(X310, fun1(X312, X311), 
9.65/9.83	            app_encode_app(fun1(X312, fun1(X310, X311)), 
9.65/9.83	              app_encode_fun(X310, fun1(X312, X311)), 
9.65/9.83	              combc(X312, X310, X311), X313), X315)), X314)
9.65/9.83	       = app_encode_app(X310, X311, 
9.65/9.83	           app_encode_app(fun1(X310, X311), app_encode_fun(X310, X311), 
9.65/9.83	             aa(X310, X311), 
9.65/9.83	             app_encode_app(X312, fun1(X310, X311), 
9.65/9.83	               app_encode_app(fun1(X312, fun1(X310, X311)), 
9.65/9.83	                 app_encode_fun(X312, fun1(X310, X311)), 
9.65/9.83	                 aa(X312, fun1(X310, X311)), X313), X314)), X315),
9.65/9.83	    inference('cnf', [status(esa)], [zf_stmt_158])).
9.65/9.83	tff('6', plain,
9.65/9.83	    ![X0 : type, X1 : nat, X2 : fun1(nat, type)]:
9.65/9.83	      app_encode_app(bool, $o, pp, 
9.65/9.83	        app_encode_app(dB, bool, 
9.65/9.83	          app_encode_app(fun1(dB, bool), app_encode_fun(dB, bool), 
9.65/9.83	            aa(dB, bool), 
9.65/9.83	            app_encode_app(type, fun1(dB, bool), 
9.65/9.83	              app_encode_app(fun1(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_fun(type, fun1(dB, bool)), combc(dB, type, bool), 
9.65/9.83	                app_encode_app(fun1(nat, type), fun1(dB, fun1(type, bool)), 
9.65/9.83	                  typing, 
9.65/9.83	                  app_encode_app(type, fun1(nat, type), 
9.65/9.83	                    app_encode_app(nat, 
9.65/9.83	                      app_encode_fun(type, fun1(nat, type)), 
9.65/9.83	                      app_encode_app(fun1(nat, type), 
9.65/9.83	                        app_encode_fun(nat, 
9.65/9.83	                          app_encode_fun(type, fun1(nat, type))), 
9.65/9.83	                        shift(type), X2), X1), X0))), X0)), 
9.65/9.83	          app_encode_app(nat, dB, var, X1))),
9.65/9.83	    inference('demod', [status(thm)], ['4', '5'])).
9.65/9.83	tff(zf_stmt_166, conjecture,
9.65/9.83	  (app_encode_app(bool,$o,pp,
9.65/9.83	                  app_encode_app(type,bool,
9.65/9.83	                                 app_encode_app(fun1(type,bool),
9.65/9.83	                                                app_encode_fun(type,bool),
9.65/9.83	                                                aa(type,bool),
9.65/9.83	                                                app_encode_app(dB,
9.65/9.83	                                                               fun1(type,bool),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               fun1(dB,
9.65/9.83	                                                                    fun1(
9.65/9.83	                                                                    type,bool)),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               dB,
9.65/9.83	                                                               fun1(type,bool)),
9.65/9.83	                                                               aa(dB,
9.65/9.83	                                                                  fun1(
9.65/9.83	                                                                  type,bool)),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               fun1(nat,type),
9.65/9.83	                                                               fun1(dB,
9.65/9.83	                                                                    fun1(
9.65/9.83	                                                                    type,bool)),
9.65/9.83	                                                               typing,
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               type,
9.65/9.83	                                                               fun1(nat,type),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               nat,
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               type,
9.65/9.83	                                                               fun1(nat,type)),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               fun1(nat,type),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               nat,
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               type,
9.65/9.83	                                                               fun1(nat,type))),
9.65/9.83	                                                               shift(type),e),
9.65/9.83	                                                               zero_zero(nat)),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               type,type,
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               list(type),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               type,type),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               fun1(type,
9.65/9.83	                                                                    fun1(
9.65/9.83	                                                                    type,type)),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               list(type),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               type,type)),
9.65/9.83	                                                               foldr(
9.65/9.83	                                                               type,type),fun),
9.65/9.83	                                                               ts),t)))),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               nat,dB,var,
9.65/9.83	                                                               zero_zero(nat)))),
9.65/9.83	                                 app_encode_app(type,type,
9.65/9.83	                                                app_encode_app(list(type),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               type,type),
9.65/9.83	                                                               app_encode_app(
9.65/9.83	                                                               fun1(type,
9.65/9.83	                                                                    fun1(
9.65/9.83	                                                                    type,type)),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               list(type),
9.65/9.83	                                                               app_encode_fun(
9.65/9.83	                                                               type,type)),
9.65/9.83	                                                               foldr(
9.65/9.83	                                                               type,type),fun),
9.65/9.83	                                                               ts),
9.65/9.83	                                                t))))).
9.65/9.83	tff(zf_stmt_0, negated_conjecture,
9.65/9.83	  (~
9.65/9.83	    app_encode_app(bool,$o,pp,
9.65/9.83	                   app_encode_app(type,bool,
9.65/9.83	                                  app_encode_app(fun1(type,bool),
9.65/9.83	                                                 app_encode_fun(type,bool),
9.65/9.83	                                                 aa(type,bool),
9.65/9.83	                                                 app_encode_app(dB,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,bool),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                dB,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,bool)),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                dB,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,bool)),
9.65/9.83	                                                                aa(dB,
9.65/9.83	                                                                   fun1(
9.65/9.83	                                                                   type,bool)),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                nat,type),
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                dB,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,bool)),
9.65/9.83	                                                                typing,
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                type,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                nat,type),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                nat,
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                type,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                nat,type)),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                nat,type),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                nat,
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                type,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                nat,type))),
9.65/9.83	                                                                shift(type),e),
9.65/9.83	                                                                zero_zero(
9.65/9.83	                                                                nat)),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                type,type,
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                list(type),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                type,type),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,type)),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                list(type),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                type,type)),
9.65/9.83	                                                                foldr(
9.65/9.83	                                                                type,type),
9.65/9.83	                                                                fun),ts),t)))),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                nat,dB,var,
9.65/9.83	                                                                zero_zero(
9.65/9.83	                                                                nat)))),
9.65/9.83	                                  app_encode_app(type,type,
9.65/9.83	                                                 app_encode_app(list(type),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                type,type),
9.65/9.83	                                                                app_encode_app(
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,
9.65/9.83	                                                                fun1(
9.65/9.83	                                                                type,type)),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                list(type),
9.65/9.83	                                                                app_encode_fun(
9.65/9.83	                                                                type,type)),
9.65/9.83	                                                                foldr(
9.65/9.83	                                                                type,type),
9.65/9.83	                                                                fun),ts),
9.65/9.83	                                                 t))))).
9.65/9.83	tff('7', plain,
9.65/9.83	    ~ app_encode_app(bool, $o, pp, 
9.65/9.83	        app_encode_app(type, bool, 
9.65/9.83	          app_encode_app(fun1(type, bool), app_encode_fun(type, bool), 
9.65/9.83	            aa(type, bool), 
9.65/9.83	            app_encode_app(dB, fun1(type, bool), 
9.65/9.83	              app_encode_app(fun1(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_fun(dB, fun1(type, bool)), 
9.65/9.83	                aa(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_app(fun1(nat, type), fun1(dB, fun1(type, bool)), 
9.65/9.83	                  typing, 
9.65/9.83	                  app_encode_app(type, fun1(nat, type), 
9.65/9.83	                    app_encode_app(nat, 
9.65/9.83	                      app_encode_fun(type, fun1(nat, type)), 
9.65/9.83	                      app_encode_app(fun1(nat, type), 
9.65/9.83	                        app_encode_fun(nat, 
9.65/9.83	                          app_encode_fun(type, fun1(nat, type))), 
9.65/9.83	                        shift(type), e), zero_zero(nat)), 
9.65/9.83	                    app_encode_app(type, type, 
9.65/9.83	                      app_encode_app(list(type), app_encode_fun(type, type), 
9.65/9.83	                        app_encode_app(fun1(type, fun1(type, type)), 
9.65/9.83	                          app_encode_fun(list(type), 
9.65/9.83	                            app_encode_fun(type, type)), foldr(type, type), 
9.65/9.83	                          fun), ts), t)))), 
9.65/9.83	              app_encode_app(nat, dB, var, zero_zero(nat)))), 
9.65/9.83	          app_encode_app(type, type, 
9.65/9.83	            app_encode_app(list(type), app_encode_fun(type, type), 
9.65/9.83	              app_encode_app(fun1(type, fun1(type, type)), 
9.65/9.83	                app_encode_fun(list(type), app_encode_fun(type, type)), 
9.65/9.83	                foldr(type, type), fun), ts), t))),
9.65/9.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.65/9.83	tff('8', plain,
9.65/9.83	    ~ app_encode_app(bool, $o, pp, 
9.65/9.83	        app_encode_app(dB, bool, 
9.65/9.83	          app_encode_app(fun1(dB, bool), app_encode_fun(dB, bool), 
9.65/9.83	            aa(dB, bool), 
9.65/9.83	            app_encode_app(type, fun1(dB, bool), 
9.65/9.83	              app_encode_app(fun1(dB, fun1(type, bool)), 
9.65/9.83	                app_encode_fun(type, fun1(dB, bool)), combc(dB, type, bool), 
9.65/9.83	                app_encode_app(fun1(nat, type), fun1(dB, fun1(type, bool)), 
9.65/9.83	                  typing, 
9.65/9.83	                  app_encode_app(type, fun1(nat, type), 
9.65/9.83	                    app_encode_app(nat, 
9.65/9.83	                      app_encode_fun(type, fun1(nat, type)), 
9.65/9.83	                      app_encode_app(fun1(nat, type), 
9.65/9.83	                        app_encode_fun(nat, 
9.65/9.83	                          app_encode_fun(type, fun1(nat, type))), 
9.65/9.83	                        shift(type), e), zero_zero(nat)), 
9.65/9.83	                    app_encode_app(type, type, 
9.65/9.83	                      app_encode_app(list(type), app_encode_fun(type, type), 
9.65/9.83	                        app_encode_app(fun1(type, fun1(type, type)), 
9.65/9.83	                          app_encode_fun(list(type), 
9.65/9.83	                            app_encode_fun(type, type)), foldr(type, type), 
9.65/9.83	                          fun), ts), t)))), 
9.65/9.83	              app_encode_app(type, type, 
9.65/9.83	                app_encode_app(list(type), app_encode_fun(type, type), 
9.65/9.83	                  app_encode_app(fun1(type, fun1(type, type)), 
9.65/9.83	                    app_encode_fun(list(type), app_encode_fun(type, type)), 
9.65/9.83	                    foldr(type, type), fun), ts), t))), 
9.65/9.83	          app_encode_app(nat, dB, var, zero_zero(nat)))),
9.65/9.83	    inference('demod', [status(thm)], ['7', '5'])).
9.65/9.83	tff('9', plain, ~ $true, inference('sup-', [status(thm)], ['6', '8'])).
9.65/9.83	tff('10', plain, $false, inference('simplify', [status(thm)], ['9'])).
9.65/9.83	
9.65/9.83	% SZS output end Refutation
9.65/9.83	EOF
