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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n126.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:42:38 CST 2018
0.00/0.28	% done 50 iterations in 0.084s
0.00/0.28	% SZS status Theorem for 'stdin'
0.00/0.28	% SZS output start Refutation
0.00/0.29	tff(zf_stmt_8, conjecture,
0.00/0.29	  (![A:$tType,A0:app_encode_fun(A,app_encode_fun(A,A))]:
0.00/0.29	     (app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),$o,
0.00/0.29	                     'const/iterate/monoidal'(A),A0) =>
0.00/0.29	      ((![A1:A]:
0.00/0.29	          (app_encode_app(A,A,
0.00/0.29	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.29	                                         app_encode_app(app_encode_fun(
0.00/0.29	                                                        A,app_encode_fun(A,A)),
0.00/0.29	                                                        A,
0.00/0.29	                                                        'const/iterate/neutral'(
0.00/0.29	                                                        A),A0)),
0.00/0.29	                          A1) =
0.00/0.29	           A1)) & 
0.00/0.29	       (![A1:A]:
0.00/0.29	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                          app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),
0.00/0.29	                                         A,'const/iterate/neutral'(A),A0)) =
0.00/0.29	           A1)) & 
0.00/0.29	       (![A1:A,A2:A]:
0.00/0.29	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),A2) =
0.00/0.29	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),A1))) & 
0.00/0.29	       (![A1:A,A2:A,A3:A]:
0.00/0.29	          (app_encode_app(A,A,
0.00/0.29	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.29	                                         app_encode_app(A,A,
0.00/0.29	                                                        app_encode_app(
0.00/0.29	                                                        A,
0.00/0.29	                                                        app_encode_fun(A,A),
0.00/0.29	                                                        A0,A1),A2)),
0.00/0.29	                          A3) =
0.00/0.29	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                          app_encode_app(A,A,
0.00/0.29	                                         app_encode_app(A,
0.00/0.29	                                                        app_encode_fun(A,A),
0.00/0.29	                                                        A0,A2),
0.00/0.29	                                         A3)))) & 
0.00/0.29	       (![A1:A,A2:A,A3:A]:
0.00/0.29	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                          app_encode_app(A,A,
0.00/0.29	                                         app_encode_app(A,
0.00/0.29	                                                        app_encode_fun(A,A),
0.00/0.29	                                                        A0,A2),
0.00/0.29	                                         A3)) =
0.00/0.29	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),
0.00/0.29	                          app_encode_app(A,A,
0.00/0.29	                                         app_encode_app(A,
0.00/0.29	                                                        app_encode_fun(A,A),
0.00/0.29	                                                        A0,A1),
0.00/0.29	                                         A3)))))))).
0.00/0.29	tff(zf_stmt_0, negated_conjecture,
0.00/0.29	  (~
0.00/0.29	    (![A:$tType,A0:app_encode_fun(A,app_encode_fun(A,A))]:
0.00/0.29	       (app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),$o,
0.00/0.29	                       'const/iterate/monoidal'(A),A0) =>
0.00/0.29	        ((![A1:A]:
0.00/0.29	            (app_encode_app(A,A,
0.00/0.29	                            app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.29	                                           app_encode_app(app_encode_fun(
0.00/0.29	                                                          A,
0.00/0.29	                                                          app_encode_fun(A,A)),
0.00/0.29	                                                          A,
0.00/0.29	                                                          'const/iterate/neutral'(
0.00/0.29	                                                          A),A0)),
0.00/0.29	                            A1) =
0.00/0.29	             A1)) & 
0.00/0.29	         (![A1:A]:
0.00/0.29	            (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                            app_encode_app(app_encode_fun(A,
0.00/0.29	                                                          app_encode_fun(A,A)),
0.00/0.29	                                           A,'const/iterate/neutral'(A),A0)) =
0.00/0.29	             A1)) & 
0.00/0.29	         (![A1:A,A2:A]:
0.00/0.29	            (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                            A2) =
0.00/0.29	             app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),
0.00/0.29	                            A1))) & 
0.00/0.29	         (![A1:A,A2:A,A3:A]:
0.00/0.29	            (app_encode_app(A,A,
0.00/0.29	                            app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.29	                                           app_encode_app(A,A,
0.00/0.29	                                                          app_encode_app(
0.00/0.29	                                                          A,
0.00/0.29	                                                          app_encode_fun(A,A),
0.00/0.29	                                                          A0,A1),A2)),
0.00/0.29	                            A3) =
0.00/0.29	             app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                            app_encode_app(A,A,
0.00/0.29	                                           app_encode_app(A,
0.00/0.29	                                                          app_encode_fun(A,A),
0.00/0.29	                                                          A0,A2),
0.00/0.29	                                           A3)))) & 
0.00/0.29	         (![A1:A,A2:A,A3:A]:
0.00/0.29	            (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                            app_encode_app(A,A,
0.00/0.29	                                           app_encode_app(A,
0.00/0.29	                                                          app_encode_fun(A,A),
0.00/0.29	                                                          A0,A2),
0.00/0.29	                                           A3)) =
0.00/0.29	             app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),
0.00/0.29	                            app_encode_app(A,A,
0.00/0.29	                                           app_encode_app(A,
0.00/0.29	                                                          app_encode_fun(A,A),
0.00/0.29	                                                          A0,A1),
0.00/0.29	                                           A3))))))))).
0.00/0.29	tff('0', plain,
0.00/0.29	    (app_encode_app(sk_A, sk_A, 
0.00/0.29	       app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	           sk_A, 'const/iterate/neutral'(sk_A), sk_A0)), sk_A13)
0.00/0.29	      != sk_A13
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A14), 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	           sk_A, 'const/iterate/neutral'(sk_A), sk_A0))
0.00/0.29	        != sk_A14
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A15), 
0.00/0.29	         sk_A22)
0.00/0.29	        != app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A22), 
0.00/0.29	             sk_A15)
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	           app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.29	             sk_A23)), sk_A31)
0.00/0.29	        != app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.29	             app_encode_app(sk_A, sk_A, 
0.00/0.29	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	                 sk_A23), sk_A31))
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A17), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A24), 
0.00/0.29	           sk_A32))
0.00/0.29	        != app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A24), 
0.00/0.29	             app_encode_app(sk_A, sk_A, 
0.00/0.29	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	                 sk_A17), sk_A32))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff(zf_stmt_7, axiom,
0.00/0.29	  (![A:$tType,A0:app_encode_fun(A,app_encode_fun(A,A))]:
0.00/0.29	     (app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),$o,
0.00/0.29	                     'const/iterate/monoidal'(A),A0) <=>
0.00/0.29	      ((![A1:A,A2:A]:
0.00/0.29	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),A2) =
0.00/0.29	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),A1))) & 
0.00/0.29	       (![A1:A,A2:A,A3:A]:
0.00/0.29	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.29	                          app_encode_app(A,A,
0.00/0.29	                                         app_encode_app(A,
0.00/0.29	                                                        app_encode_fun(A,A),
0.00/0.29	                                                        A0,A2),
0.00/0.29	                                         A3)) =
0.00/0.29	           app_encode_app(A,A,
0.00/0.29	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.29	                                         app_encode_app(A,A,
0.00/0.29	                                                        app_encode_app(
0.00/0.29	                                                        A,
0.00/0.29	                                                        app_encode_fun(A,A),
0.00/0.29	                                                        A0,A1),A2)),
0.00/0.29	                          A3))) & 
0.00/0.29	       (![A1:A]:
0.00/0.29	          (app_encode_app(A,A,
0.00/0.29	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.29	                                         app_encode_app(app_encode_fun(
0.00/0.29	                                                        A,app_encode_fun(A,A)),
0.00/0.29	                                                        A,
0.00/0.29	                                                        'const/iterate/neutral'(
0.00/0.29	                                                        A),A0)),
0.00/0.29	                          A1) =
0.00/0.29	           A1)))))).
0.00/0.29	tff('1', plain,
0.00/0.29	    ![X6 : $tType, X7 : app_encode_fun(X6, app_encode_fun(X6, X6)), X13 : X6]:
0.00/0.29	      (app_encode_app(X6, X6, 
0.00/0.29	         app_encode_app(X6, app_encode_fun(X6, X6), X7, 
0.00/0.29	           app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), X6, 
0.00/0.29	             'const/iterate/neutral'(X6), X7)), X13)
0.00/0.29	        = X13
0.00/0.29	       | ~ app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), $o, 
0.00/0.29	             'const/iterate/monoidal'(X6), X7)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.29	tff('2', plain,
0.00/0.29	    app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), $o, 
0.00/0.29	      'const/iterate/monoidal'(sk_A), sk_A0),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('3', plain,
0.00/0.29	    ![X6 : $tType, X7 : app_encode_fun(X6, app_encode_fun(X6, X6)), X8 : X6, 
0.00/0.29	      X9 : X6]:
0.00/0.29	      (app_encode_app(X6, X6, 
0.00/0.29	         app_encode_app(X6, app_encode_fun(X6, X6), X7, X9), X8)
0.00/0.29	        = app_encode_app(X6, X6, 
0.00/0.29	            app_encode_app(X6, app_encode_fun(X6, X6), X7, X8), X9)
0.00/0.29	       | ~ app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), $o, 
0.00/0.29	             'const/iterate/monoidal'(X6), X7)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.29	tff('4', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A]:
0.00/0.29	      (~ $true
0.00/0.29	       | app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X0)
0.00/0.29	          = app_encode_app(sk_A, sk_A, 
0.00/0.29	              app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	              X1)),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.29	tff('5', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A]:
0.00/0.29	      app_encode_app(sk_A, sk_A, 
0.00/0.29	        app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X0)
0.00/0.29	       = app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), X1),
0.00/0.29	    inference('simplify', [status(thm)], ['4'])).
0.00/0.29	tff('6', plain,
0.00/0.29	    ![X0 : sk_A]:
0.00/0.29	      (X0
0.00/0.29	        = app_encode_app(sk_A, sk_A, 
0.00/0.29	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	            app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	              sk_A, 'const/iterate/neutral'(sk_A), sk_A0))
0.00/0.29	       | ~ app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	             $o, 'const/iterate/monoidal'(sk_A), sk_A0)),
0.00/0.29	    inference('sup+', [status(thm)], ['1', '5'])).
0.00/0.29	tff('7', plain,
0.00/0.29	    ![X0 : sk_A]:
0.00/0.29	      (X0
0.00/0.29	        = app_encode_app(sk_A, sk_A, 
0.00/0.29	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	            app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	              sk_A, 'const/iterate/neutral'(sk_A), sk_A0))
0.00/0.29	       | ~ $true),
0.00/0.29	    inference('demod', [status(thm)], ['6', '2'])).
0.00/0.29	tff('8', plain,
0.00/0.29	    ![X0 : sk_A]:
0.00/0.29	      X0
0.00/0.29	       = app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	           app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	             sk_A, 'const/iterate/neutral'(sk_A), sk_A0)),
0.00/0.29	    inference('simplify', [status(thm)], ['7'])).
0.00/0.29	tff('9', plain,
0.00/0.29	    ![X0 : sk_A]:
0.00/0.29	      X0
0.00/0.29	       = app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	             app_encode_app(
0.00/0.29	               app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), sk_A, 
0.00/0.29	               'const/iterate/neutral'(sk_A), sk_A0)), X0),
0.00/0.29	    inference('sup+', [status(thm)], ['8', '5'])).
0.00/0.29	tff(zf_stmt_6, axiom,
0.00/0.29	  (![A:$tType,A0:A]: (app_encode_app(A,A,'const/trivia/I'(A),A0) = A0))).
0.00/0.29	tff('10', plain,
0.00/0.29	    ![X4 : $tType, X5 : X4]:
0.00/0.29	      app_encode_app(X4, X4, 'const/trivia/I'(X4), X5) = X5,
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.29	tff(zf_stmt_2, axiom,
0.00/0.29	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
0.00/0.29	     ((![Z:Alpha]:
0.00/0.29	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
0.00/0.29	      (X = Y)))).
0.00/0.29	tff('11', plain,
0.00/0.29	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
0.00/0.29	      X3 : app_encode_fun(X0, X1)]:
0.00/0.29	      (X3 = X2
0.00/0.29	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
0.00/0.29	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.29	tff('12', plain,
0.00/0.29	    ![X0 : $tType, X1 : app_encode_fun(X0, X0)]:
0.00/0.29	      (sk_Z(X0, X0, X1, 'const/trivia/I'(X0))
0.00/0.29	        != app_encode_app(X0, X0, X1, sk_Z(X0, X0, X1, 'const/trivia/I'(X0)))
0.00/0.29	       | 'const/trivia/I'(X0) = X1),
0.00/0.29	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.29	tff('13', plain,
0.00/0.29	    (sk_Z(sk_A, sk_A, 
0.00/0.29	       app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	           sk_A, 'const/iterate/neutral'(sk_A), sk_A0)), 
0.00/0.29	       'const/trivia/I'(sk_A))
0.00/0.29	      != sk_Z(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	             app_encode_app(
0.00/0.29	               app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), sk_A, 
0.00/0.29	               'const/iterate/neutral'(sk_A), sk_A0)), 
0.00/0.29	           'const/trivia/I'(sk_A))
0.00/0.29	     | 'const/trivia/I'(sk_A)
0.00/0.29	        = app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	            app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	              sk_A, 'const/iterate/neutral'(sk_A), sk_A0))),
0.00/0.29	    inference('sup-', [status(thm)], ['9', '12'])).
0.00/0.29	tff('14', plain,
0.00/0.29	    'const/trivia/I'(sk_A)
0.00/0.29	     = app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	           sk_A, 'const/iterate/neutral'(sk_A), sk_A0)),
0.00/0.29	    inference('simplify', [status(thm)], ['13'])).
0.00/0.29	tff('15', plain,
0.00/0.29	    ![X6 : $tType, X7 : app_encode_fun(X6, app_encode_fun(X6, X6)), 
0.00/0.29	      X10 : X6, X11 : X6, X12 : X6]:
0.00/0.29	      (app_encode_app(X6, X6, 
0.00/0.29	         app_encode_app(X6, app_encode_fun(X6, X6), X7, X10), 
0.00/0.29	         app_encode_app(X6, X6, 
0.00/0.29	           app_encode_app(X6, app_encode_fun(X6, X6), X7, X11), X12))
0.00/0.29	        = app_encode_app(X6, X6, 
0.00/0.29	            app_encode_app(X6, app_encode_fun(X6, X6), X7, 
0.00/0.29	              app_encode_app(X6, X6, 
0.00/0.29	                app_encode_app(X6, app_encode_fun(X6, X6), X7, X10), X11)), 
0.00/0.29	            X12)
0.00/0.29	       | ~ app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), $o, 
0.00/0.29	             'const/iterate/monoidal'(X6), X7)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.29	tff('16', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.29	      (app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X2))
0.00/0.29	        = app_encode_app(sk_A, sk_A, 
0.00/0.29	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	              app_encode_app(sk_A, sk_A, 
0.00/0.29	                app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	                X0)), X2)
0.00/0.29	       | ~ app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	             $o, 'const/iterate/monoidal'(sk_A), sk_A0)),
0.00/0.29	    inference('sup+', [status(thm)], ['5', '15'])).
0.00/0.29	tff('17', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.29	      (app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X2))
0.00/0.29	        = app_encode_app(sk_A, sk_A, 
0.00/0.29	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	              app_encode_app(sk_A, sk_A, 
0.00/0.29	                app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	                X0)), X2)
0.00/0.29	       | ~ $true),
0.00/0.29	    inference('demod', [status(thm)], ['16', '2'])).
0.00/0.29	tff('18', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.29	      app_encode_app(sk_A, sk_A, 
0.00/0.29	        app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.29	        app_encode_app(sk_A, sk_A, 
0.00/0.29	          app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X2))
0.00/0.29	       = app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	             app_encode_app(sk_A, sk_A, 
0.00/0.29	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	               X0)), X2),
0.00/0.29	    inference('simplify', [status(thm)], ['17'])).
0.00/0.29	tff('19', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.29	      (app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), X2))
0.00/0.29	        = app_encode_app(sk_A, sk_A, 
0.00/0.29	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), 
0.00/0.29	            app_encode_app(sk_A, sk_A, 
0.00/0.29	              app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	              X0))
0.00/0.29	       | ~ app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.29	             $o, 'const/iterate/monoidal'(sk_A), sk_A0)),
0.00/0.29	    inference('sup+', [status(thm)], ['5', '15'])).
0.00/0.29	tff('20', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.29	      (app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), X2))
0.00/0.29	        = app_encode_app(sk_A, sk_A, 
0.00/0.29	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), 
0.00/0.29	            app_encode_app(sk_A, sk_A, 
0.00/0.29	              app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	              X0))
0.00/0.29	       | ~ $true),
0.00/0.29	    inference('demod', [status(thm)], ['19', '2'])).
0.00/0.29	tff('21', plain,
0.00/0.29	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.29	      app_encode_app(sk_A, sk_A, 
0.00/0.29	        app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.29	        app_encode_app(sk_A, sk_A, 
0.00/0.29	          app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), X2))
0.00/0.29	       = app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), 
0.00/0.29	           app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X0)),
0.00/0.29	    inference('simplify', [status(thm)], ['20'])).
0.00/0.29	tff('22', plain,
0.00/0.29	    (sk_A13 != sk_A13
0.00/0.29	     | sk_A14 != sk_A14
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A15), 
0.00/0.29	         sk_A22)
0.00/0.29	        != app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A15), 
0.00/0.29	             sk_A22)
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A23), 
0.00/0.29	           sk_A31))
0.00/0.29	        != app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.29	             app_encode_app(sk_A, sk_A, 
0.00/0.29	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	                 sk_A23), sk_A31))
0.00/0.29	     | app_encode_app(sk_A, sk_A, 
0.00/0.29	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A17), 
0.00/0.29	         app_encode_app(sk_A, sk_A, 
0.00/0.29	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A24), 
0.00/0.29	           sk_A32))
0.00/0.29	        != app_encode_app(sk_A, sk_A, 
0.00/0.29	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A17), 
0.00/0.29	             app_encode_app(sk_A, sk_A, 
0.00/0.29	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.29	                 sk_A24), sk_A32))),
0.00/0.29	    inference('demod', [status(thm)],
0.00/0.29	              ['0', '14', '10', '8', '5', '18', '21', '5', '21', '5'])).
0.00/0.29	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
0.00/0.29	
0.00/0.29	% SZS output end Refutation
0.00/0.29	EOF
