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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n077.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:42:38 CST 2018
0.00/0.31	% done 43 iterations in 0.113s
0.00/0.31	% SZS status Theorem for 'stdin'
0.00/0.31	% SZS output start Refutation
0.00/0.31	tff(zf_stmt_7, conjecture,
0.00/0.31	  (![A:$tType,A0:app_encode_fun(A,app_encode_fun(A,A))]:
0.00/0.31	     (app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),$o,
0.00/0.31	                     'const/iterate/monoidal'(A),A0) =>
0.00/0.31	      ((![A1:A]:
0.00/0.31	          (app_encode_app(A,A,
0.00/0.31	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.31	                                         app_encode_app(app_encode_fun(
0.00/0.31	                                                        A,app_encode_fun(A,A)),
0.00/0.31	                                                        A,
0.00/0.31	                                                        'const/iterate/neutral'(
0.00/0.31	                                                        A),A0)),
0.00/0.31	                          A1) =
0.00/0.31	           A1)) & 
0.00/0.31	       (![A1:A]:
0.00/0.31	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                          app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),
0.00/0.31	                                         A,'const/iterate/neutral'(A),A0)) =
0.00/0.31	           A1)) & 
0.00/0.31	       (![A1:A,A2:A]:
0.00/0.31	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),A2) =
0.00/0.31	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),A1))) & 
0.00/0.31	       (![A1:A,A2:A,A3:A]:
0.00/0.31	          (app_encode_app(A,A,
0.00/0.31	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.31	                                         app_encode_app(A,A,
0.00/0.31	                                                        app_encode_app(
0.00/0.31	                                                        A,
0.00/0.31	                                                        app_encode_fun(A,A),
0.00/0.31	                                                        A0,A1),A2)),
0.00/0.31	                          A3) =
0.00/0.31	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                          app_encode_app(A,A,
0.00/0.31	                                         app_encode_app(A,
0.00/0.31	                                                        app_encode_fun(A,A),
0.00/0.31	                                                        A0,A2),
0.00/0.31	                                         A3)))) & 
0.00/0.31	       (![A1:A,A2:A,A3:A]:
0.00/0.31	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                          app_encode_app(A,A,
0.00/0.31	                                         app_encode_app(A,
0.00/0.31	                                                        app_encode_fun(A,A),
0.00/0.31	                                                        A0,A2),
0.00/0.31	                                         A3)) =
0.00/0.31	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),
0.00/0.31	                          app_encode_app(A,A,
0.00/0.31	                                         app_encode_app(A,
0.00/0.31	                                                        app_encode_fun(A,A),
0.00/0.31	                                                        A0,A1),
0.00/0.31	                                         A3)))))))).
0.00/0.31	tff(zf_stmt_0, negated_conjecture,
0.00/0.31	  (~
0.00/0.31	    (![A:$tType,A0:app_encode_fun(A,app_encode_fun(A,A))]:
0.00/0.31	       (app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),$o,
0.00/0.31	                       'const/iterate/monoidal'(A),A0) =>
0.00/0.31	        ((![A1:A]:
0.00/0.31	            (app_encode_app(A,A,
0.00/0.31	                            app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.31	                                           app_encode_app(app_encode_fun(
0.00/0.31	                                                          A,
0.00/0.31	                                                          app_encode_fun(A,A)),
0.00/0.31	                                                          A,
0.00/0.31	                                                          'const/iterate/neutral'(
0.00/0.31	                                                          A),A0)),
0.00/0.31	                            A1) =
0.00/0.31	             A1)) & 
0.00/0.31	         (![A1:A]:
0.00/0.31	            (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                            app_encode_app(app_encode_fun(A,
0.00/0.31	                                                          app_encode_fun(A,A)),
0.00/0.31	                                           A,'const/iterate/neutral'(A),A0)) =
0.00/0.31	             A1)) & 
0.00/0.31	         (![A1:A,A2:A]:
0.00/0.31	            (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                            A2) =
0.00/0.31	             app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),
0.00/0.31	                            A1))) & 
0.00/0.31	         (![A1:A,A2:A,A3:A]:
0.00/0.31	            (app_encode_app(A,A,
0.00/0.31	                            app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.31	                                           app_encode_app(A,A,
0.00/0.31	                                                          app_encode_app(
0.00/0.31	                                                          A,
0.00/0.31	                                                          app_encode_fun(A,A),
0.00/0.31	                                                          A0,A1),A2)),
0.00/0.31	                            A3) =
0.00/0.31	             app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                            app_encode_app(A,A,
0.00/0.31	                                           app_encode_app(A,
0.00/0.31	                                                          app_encode_fun(A,A),
0.00/0.31	                                                          A0,A2),
0.00/0.31	                                           A3)))) & 
0.00/0.31	         (![A1:A,A2:A,A3:A]:
0.00/0.31	            (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                            app_encode_app(A,A,
0.00/0.31	                                           app_encode_app(A,
0.00/0.31	                                                          app_encode_fun(A,A),
0.00/0.31	                                                          A0,A2),
0.00/0.31	                                           A3)) =
0.00/0.31	             app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),
0.00/0.31	                            app_encode_app(A,A,
0.00/0.31	                                           app_encode_app(A,
0.00/0.31	                                                          app_encode_fun(A,A),
0.00/0.31	                                                          A0,A1),
0.00/0.31	                                           A3))))))))).
0.00/0.31	tff('0', plain,
0.00/0.31	    (app_encode_app(sk_A, sk_A, 
0.00/0.31	       app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	         app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	           sk_A, 'const/iterate/neutral'(sk_A), sk_A0)), sk_A13)
0.00/0.31	      != sk_A13
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A14), 
0.00/0.31	         app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	           sk_A, 'const/iterate/neutral'(sk_A), sk_A0))
0.00/0.31	        != sk_A14
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A15), 
0.00/0.31	         sk_A22)
0.00/0.31	        != app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A22), 
0.00/0.31	             sk_A15)
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	           app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.31	             sk_A23)), sk_A31)
0.00/0.31	        != app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.31	             app_encode_app(sk_A, sk_A, 
0.00/0.31	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	                 sk_A23), sk_A31))
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A17), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A24), 
0.00/0.31	           sk_A32))
0.00/0.31	        != app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A24), 
0.00/0.31	             app_encode_app(sk_A, sk_A, 
0.00/0.31	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	                 sk_A17), sk_A32))),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff(zf_stmt_6, axiom,
0.00/0.31	  (![A:$tType,A0:app_encode_fun(A,app_encode_fun(A,A))]:
0.00/0.31	     (app_encode_app(app_encode_fun(A,app_encode_fun(A,A)),$o,
0.00/0.31	                     'const/iterate/monoidal'(A),A0) <=>
0.00/0.31	      ((![A1:A,A2:A]:
0.00/0.31	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),A2) =
0.00/0.31	           app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A2),A1))) & 
0.00/0.31	       (![A1:A,A2:A,A3:A]:
0.00/0.31	          (app_encode_app(A,A,app_encode_app(A,app_encode_fun(A,A),A0,A1),
0.00/0.31	                          app_encode_app(A,A,
0.00/0.31	                                         app_encode_app(A,
0.00/0.31	                                                        app_encode_fun(A,A),
0.00/0.31	                                                        A0,A2),
0.00/0.31	                                         A3)) =
0.00/0.31	           app_encode_app(A,A,
0.00/0.31	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.31	                                         app_encode_app(A,A,
0.00/0.31	                                                        app_encode_app(
0.00/0.31	                                                        A,
0.00/0.31	                                                        app_encode_fun(A,A),
0.00/0.31	                                                        A0,A1),A2)),
0.00/0.31	                          A3))) & 
0.00/0.31	       (![A1:A]:
0.00/0.31	          (app_encode_app(A,A,
0.00/0.31	                          app_encode_app(A,app_encode_fun(A,A),A0,
0.00/0.31	                                         app_encode_app(app_encode_fun(
0.00/0.31	                                                        A,app_encode_fun(A,A)),
0.00/0.31	                                                        A,
0.00/0.31	                                                        'const/iterate/neutral'(
0.00/0.31	                                                        A),A0)),
0.00/0.31	                          A1) =
0.00/0.31	           A1)))))).
0.00/0.31	tff('1', plain,
0.00/0.31	    ![X2 : $tType, X3 : app_encode_fun(X2, app_encode_fun(X2, X2)), X9 : X2]:
0.00/0.31	      (app_encode_app(X2, X2, 
0.00/0.31	         app_encode_app(X2, app_encode_fun(X2, X2), X3, 
0.00/0.31	           app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), X2, 
0.00/0.31	             'const/iterate/neutral'(X2), X3)), X9)
0.00/0.31	        = X9
0.00/0.31	       | ~ app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), $o, 
0.00/0.31	             'const/iterate/monoidal'(X2), X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.31	tff('2', plain,
0.00/0.31	    app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), $o, 
0.00/0.31	      'const/iterate/monoidal'(sk_A), sk_A0),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('3', plain,
0.00/0.31	    ![X2 : $tType, X3 : app_encode_fun(X2, app_encode_fun(X2, X2)), X4 : X2, 
0.00/0.31	      X5 : X2]:
0.00/0.31	      (app_encode_app(X2, X2, 
0.00/0.31	         app_encode_app(X2, app_encode_fun(X2, X2), X3, X5), X4)
0.00/0.31	        = app_encode_app(X2, X2, 
0.00/0.31	            app_encode_app(X2, app_encode_fun(X2, X2), X3, X4), X5)
0.00/0.31	       | ~ app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), $o, 
0.00/0.31	             'const/iterate/monoidal'(X2), X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.31	tff('4', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X0)
0.00/0.31	          = app_encode_app(sk_A, sk_A, 
0.00/0.31	              app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	              X1)),
0.00/0.31	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.31	tff('5', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A]:
0.00/0.31	      app_encode_app(sk_A, sk_A, 
0.00/0.31	        app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X0)
0.00/0.31	       = app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), X1),
0.00/0.31	    inference('simplify', [status(thm)], ['4'])).
0.00/0.31	tff('6', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      (X0
0.00/0.31	        = app_encode_app(sk_A, sk_A, 
0.00/0.31	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	            app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	              sk_A, 'const/iterate/neutral'(sk_A), sk_A0))
0.00/0.31	       | ~ app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	             $o, 'const/iterate/monoidal'(sk_A), sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['1', '5'])).
0.00/0.31	tff('7', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      (X0
0.00/0.31	        = app_encode_app(sk_A, sk_A, 
0.00/0.31	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	            app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	              sk_A, 'const/iterate/neutral'(sk_A), sk_A0))
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['6', '2'])).
0.00/0.31	tff('8', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      X0
0.00/0.31	       = app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	           app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	             sk_A, 'const/iterate/neutral'(sk_A), sk_A0)),
0.00/0.31	    inference('simplify', [status(thm)], ['7'])).
0.00/0.31	tff('9', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      X0
0.00/0.31	       = app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	             app_encode_app(
0.00/0.31	               app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), sk_A, 
0.00/0.31	               'const/iterate/neutral'(sk_A), sk_A0)), X0),
0.00/0.31	    inference('sup+', [status(thm)], ['8', '5'])).
0.00/0.31	tff('10', plain,
0.00/0.31	    ![X2 : $tType, X3 : app_encode_fun(X2, app_encode_fun(X2, X2)), X6 : X2, 
0.00/0.31	      X7 : X2, X8 : X2]:
0.00/0.31	      (app_encode_app(X2, X2, 
0.00/0.31	         app_encode_app(X2, app_encode_fun(X2, X2), X3, X6), 
0.00/0.31	         app_encode_app(X2, X2, 
0.00/0.31	           app_encode_app(X2, app_encode_fun(X2, X2), X3, X7), X8))
0.00/0.31	        = app_encode_app(X2, X2, 
0.00/0.31	            app_encode_app(X2, app_encode_fun(X2, X2), X3, 
0.00/0.31	              app_encode_app(X2, X2, 
0.00/0.31	                app_encode_app(X2, app_encode_fun(X2, X2), X3, X6), X7)), X8)
0.00/0.31	       | ~ app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), $o, 
0.00/0.31	             'const/iterate/monoidal'(X2), X3)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.31	tff('11', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X2))
0.00/0.31	        = app_encode_app(sk_A, sk_A, 
0.00/0.31	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	              app_encode_app(sk_A, sk_A, 
0.00/0.31	                app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	                X0)), X2)
0.00/0.31	       | ~ app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	             $o, 'const/iterate/monoidal'(sk_A), sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['5', '10'])).
0.00/0.31	tff('12', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X2))
0.00/0.31	        = app_encode_app(sk_A, sk_A, 
0.00/0.31	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	              app_encode_app(sk_A, sk_A, 
0.00/0.31	                app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	                X0)), X2)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['11', '2'])).
0.00/0.31	tff('13', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      app_encode_app(sk_A, sk_A, 
0.00/0.31	        app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X0), 
0.00/0.31	        app_encode_app(sk_A, sk_A, 
0.00/0.31	          app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X2))
0.00/0.31	       = app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	             app_encode_app(sk_A, sk_A, 
0.00/0.31	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	               X0)), X2),
0.00/0.31	    inference('simplify', [status(thm)], ['12'])).
0.00/0.31	tff('14', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), X0))
0.00/0.31	        = app_encode_app(sk_A, sk_A, 
0.00/0.31	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), 
0.00/0.31	            app_encode_app(sk_A, sk_A, 
0.00/0.31	              app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	              X0))
0.00/0.31	       | ~ app_encode_app(app_encode_fun(sk_A, app_encode_fun(sk_A, sk_A)), 
0.00/0.31	             $o, 'const/iterate/monoidal'(sk_A), sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['10', '13'])).
0.00/0.31	tff('15', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), X0))
0.00/0.31	        = app_encode_app(sk_A, sk_A, 
0.00/0.31	            app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), 
0.00/0.31	            app_encode_app(sk_A, sk_A, 
0.00/0.31	              app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	              X0))
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['14', '2'])).
0.00/0.31	tff('16', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      app_encode_app(sk_A, sk_A, 
0.00/0.31	        app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), 
0.00/0.31	        app_encode_app(sk_A, sk_A, 
0.00/0.31	          app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), X0))
0.00/0.31	       = app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X2), 
0.00/0.31	           app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, X1), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['15'])).
0.00/0.31	tff('17', plain,
0.00/0.31	    (sk_A13 != sk_A13
0.00/0.31	     | sk_A14 != sk_A14
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A15), 
0.00/0.31	         sk_A22)
0.00/0.31	        != app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A15), 
0.00/0.31	             sk_A22)
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A23), 
0.00/0.31	           sk_A31))
0.00/0.31	        != app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A16), 
0.00/0.31	             app_encode_app(sk_A, sk_A, 
0.00/0.31	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	                 sk_A23), sk_A31))
0.00/0.31	     | app_encode_app(sk_A, sk_A, 
0.00/0.31	         app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A17), 
0.00/0.31	         app_encode_app(sk_A, sk_A, 
0.00/0.31	           app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A24), 
0.00/0.31	           sk_A32))
0.00/0.31	        != app_encode_app(sk_A, sk_A, 
0.00/0.31	             app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, sk_A17), 
0.00/0.31	             app_encode_app(sk_A, sk_A, 
0.00/0.31	               app_encode_app(sk_A, app_encode_fun(sk_A, sk_A), sk_A0, 
0.00/0.31	                 sk_A24), sk_A32))),
0.00/0.31	    inference('demod', [status(thm)], ['0', '9', '8', '5', '13', '16', '16'])).
0.00/0.31	tff('18', plain, $false, inference('simplify', [status(thm)], ['17'])).
0.00/0.31	
0.00/0.31	% SZS output end Refutation
0.00/0.31	EOF
