0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n096.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% 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 13:43:54 CST 2018
2.84/3.03	% done 1154 iterations in 2.824s
2.84/3.03	% SZS status Theorem for 'stdin'
2.84/3.03	% SZS output start Refutation
2.84/3.03	tff(zf_stmt_173, axiom,
2.84/3.03	  (app_encode_app(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                   arrow_411405190le_alt),
2.84/3.03	                      bool),
2.84/3.03	                  $o,
2.84/3.03	                  app_encode_app(fun(arrow_411405190le_alt,bool),
2.84/3.03	                                 app_encode_fun(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                                                 arrow_411405190le_alt),
2.84/3.03	                                                    bool),
2.84/3.03	                                                $o),
2.84/3.03	                                 order_1409979114der_on(arrow_411405190le_alt),
2.84/3.03	                                 top_top(fun(arrow_411405190le_alt,bool))),
2.84/3.03	                  r))).
2.84/3.03	tff('0', plain,
2.84/3.03	    app_encode_app(
2.84/3.03	      fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
2.84/3.03	      $o, 
2.84/3.03	      app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	        app_encode_fun(
2.84/3.03	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	            bool), $o), order_1409979114der_on(arrow_411405190le_alt), 
2.84/3.03	        top_top(fun(arrow_411405190le_alt, bool))), r),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_173])).
2.84/3.03	tff(zf_stmt_51, axiom,
2.84/3.03	  (arrow_1985332922le_Lin =
2.84/3.03	   app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                       arrow_411405190le_alt),
2.84/3.03	                          bool),
2.84/3.03	                      bool),
2.84/3.03	                  fun(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                       arrow_411405190le_alt),
2.84/3.03	                          bool),
2.84/3.03	                      bool),
2.84/3.03	                  collect(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                           arrow_411405190le_alt),
2.84/3.03	                              bool)),
2.84/3.03	                  app_encode_app(fun(arrow_411405190le_alt,bool),
2.84/3.03	                                 fun(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                                      arrow_411405190le_alt),
2.84/3.03	                                         bool),
2.84/3.03	                                     bool),
2.84/3.03	                                 order_215145569der_on(arrow_411405190le_alt),
2.84/3.03	                                 top_top(fun(arrow_411405190le_alt,bool)))))).
2.84/3.03	tff('1', plain,
2.84/3.03	    arrow_1985332922le_Lin
2.84/3.03	     = app_encode_app(
2.84/3.03	         fun(
2.84/3.03	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool), bool), 
2.84/3.03	         fun(
2.84/3.03	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool), bool), 
2.84/3.03	         collect(
2.84/3.03	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool)), 
2.84/3.03	         app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	           fun(
2.84/3.03	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool), bool), order_215145569der_on(arrow_411405190le_alt), 
2.84/3.03	           top_top(fun(arrow_411405190le_alt, bool)))),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_51])).
2.84/3.03	tff(zf_stmt_127, axiom,
2.84/3.03	  (![A:$tType,P1:fun(A,bool)]:
2.84/3.03	     (app_encode_app(fun(A,bool),fun(A,bool),collect(A),P1) = P1))).
2.84/3.03	tff('2', plain,
2.84/3.03	    ![X212 : $tType, X213 : fun(X212, bool)]:
2.84/3.03	      app_encode_app(fun(X212, bool), fun(X212, bool), collect(X212), X213)
2.84/3.03	       = X213,
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_127])).
2.84/3.03	tff('3', plain,
2.84/3.03	    arrow_1985332922le_Lin
2.84/3.03	     = app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	         fun(
2.84/3.03	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool), bool), order_215145569der_on(arrow_411405190le_alt), 
2.84/3.03	         top_top(fun(arrow_411405190le_alt, bool))),
2.84/3.03	    inference('demod', [status(thm)], ['1', '2'])).
2.84/3.03	tff(zf_stmt_50, axiom,
2.84/3.03	  (![A:$tType,R1:fun(product_prod(A,A),bool),A1:fun(A,bool)]:
2.84/3.03	     (app_encode_app(fun(product_prod(A,A),bool),$o,
2.84/3.03	                     app_encode_app(fun(A,bool),
2.84/3.03	                                    app_encode_fun(fun(product_prod(A,A),bool),
2.84/3.03	                                                   $o),
2.84/3.03	                                    order_1409979114der_on(A),A1),
2.84/3.03	                     R1) =>
2.84/3.03	      app_encode_app(bool,$o,pp,
2.84/3.03	                     app_encode_app(fun(product_prod(A,A),bool),bool,
2.84/3.03	                                    app_encode_app(fun(fun(product_prod(A,A),
2.84/3.03	                                                           bool),
2.84/3.03	                                                       bool),
2.84/3.03	                                                   app_encode_fun(fun(
2.84/3.03	                                                                  product_prod(
2.84/3.03	                                                                  A,A),bool),
2.84/3.03	                                                                  bool),
2.84/3.03	                                                   aa(fun(product_prod(A,A),
2.84/3.03	                                                          bool),
2.84/3.03	                                                      bool),
2.84/3.03	                                                   app_encode_app(fun(A,bool),
2.84/3.03	                                                                  fun(
2.84/3.03	                                                                  fun(
2.84/3.03	                                                                  product_prod(
2.84/3.03	                                                                  A,A),bool),
2.84/3.03	                                                                  bool),
2.84/3.03	                                                                  order_215145569der_on(
2.84/3.03	                                                                  A),A1)),
2.84/3.03	                                    app_encode_app(fun(product_prod(A,A),bool),
2.84/3.03	                                                   fun(product_prod(A,A),bool),
2.84/3.03	                                                   app_encode_app(fun(
2.84/3.03	                                                                  product_prod(
2.84/3.03	                                                                  A,A),bool),
2.84/3.03	                                                                  app_encode_fun(
2.84/3.03	                                                                  fun(
2.84/3.03	                                                                  product_prod(
2.84/3.03	                                                                  A,A),bool),
2.84/3.03	                                                                  fun(
2.84/3.03	                                                                  product_prod(
2.84/3.03	                                                                  A,A),bool)),
2.84/3.03	                                                                  minus_minus(
2.84/3.03	                                                                  fun(
2.84/3.03	                                                                  product_prod(
2.84/3.03	                                                                  A,A),bool)),
2.84/3.03	                                                                  R1),
2.84/3.03	                                                   id(A))))))).
2.84/3.03	tff('4', plain,
2.84/3.03	    ![X4 : $tType, X5 : fun(X4, bool), X6 : fun(product_prod(X4, X4), bool)]:
2.84/3.03	      (app_encode_app(bool, $o, pp, 
2.84/3.03	         app_encode_app(fun(product_prod(X4, X4), bool), bool, 
2.84/3.03	           app_encode_app(fun(fun(product_prod(X4, X4), bool), bool), 
2.84/3.03	             app_encode_fun(fun(product_prod(X4, X4), bool), bool), 
2.84/3.03	             aa(fun(product_prod(X4, X4), bool), bool), 
2.84/3.03	             app_encode_app(fun(X4, bool), 
2.84/3.03	               fun(fun(product_prod(X4, X4), bool), bool), 
2.84/3.03	               order_215145569der_on(X4), X5)), 
2.84/3.03	           app_encode_app(fun(product_prod(X4, X4), bool), 
2.84/3.03	             fun(product_prod(X4, X4), bool), 
2.84/3.03	             app_encode_app(fun(product_prod(X4, X4), bool), 
2.84/3.03	               app_encode_fun(fun(product_prod(X4, X4), bool), 
2.84/3.03	                 fun(product_prod(X4, X4), bool)), 
2.84/3.03	               minus_minus(fun(product_prod(X4, X4), bool)), X6), id(X4))))
2.84/3.03	       | ~ app_encode_app(fun(product_prod(X4, X4), bool), $o, 
2.84/3.03	             app_encode_app(fun(X4, bool), 
2.84/3.03	               app_encode_fun(fun(product_prod(X4, X4), bool), $o), 
2.84/3.03	               order_1409979114der_on(X4), X5), X6)),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_50])).
2.84/3.03	tff('5', plain,
2.84/3.03	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool)]:
2.84/3.03	      (app_encode_app(bool, $o, pp, 
2.84/3.03	         app_encode_app(
2.84/3.03	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool), bool, 
2.84/3.03	           app_encode_app(
2.84/3.03	             fun(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), bool), 
2.84/3.03	             app_encode_fun(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), bool), 
2.84/3.03	             aa(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), bool), arrow_1985332922le_Lin), 
2.84/3.03	           app_encode_app(
2.84/3.03	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool), 
2.84/3.03	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool), 
2.84/3.03	             app_encode_app(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), 
2.84/3.03	               app_encode_fun(
2.84/3.03	                 fun(
2.84/3.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                   bool), 
2.84/3.03	                 fun(
2.84/3.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                   bool)), 
2.84/3.03	               minus_minus(
2.84/3.03	                 fun(
2.84/3.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                   bool)), X0), id(arrow_411405190le_alt))))
2.84/3.03	       | ~ app_encode_app(
2.84/3.03	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool), $o, 
2.84/3.03	             app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	               app_encode_fun(
2.84/3.03	                 fun(
2.84/3.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                   bool), $o), 
2.84/3.03	               order_1409979114der_on(arrow_411405190le_alt), 
2.84/3.03	               top_top(fun(arrow_411405190le_alt, bool))), X0)),
2.84/3.03	    inference('sup+', [status(thm)], ['3', '4'])).
2.84/3.03	tff(zf_stmt_167, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
2.84/3.03	tff('6', plain, ![X317 : bool]: (X317 = fTrue | X317 = fFalse),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_167])).
2.84/3.03	tff(zf_stmt_159, axiom, (app_encode_app(bool,$o,pp,fTrue))).
2.84/3.03	tff('7', plain, app_encode_app(bool, $o, pp, fTrue),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_159])).
2.84/3.03	tff('8', plain,
2.84/3.03	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
2.84/3.03	    inference('sup+', [status(thm)], ['6', '7'])).
2.84/3.03	tff(zf_stmt_175, conjecture,
2.84/3.03	  (?[L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
2.84/3.03	     app_encode_app(bool,$o,pp,
2.84/3.03	                    app_encode_app(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                                    arrow_411405190le_alt),
2.84/3.03	                                       bool),
2.84/3.03	                                   bool,
2.84/3.03	                                   app_encode_app(fun(fun(product_prod(
2.84/3.03	                                                          arrow_411405190le_alt,
2.84/3.03	                                                          arrow_411405190le_alt),
2.84/3.03	                                                          bool),
2.84/3.03	                                                      bool),
2.84/3.03	                                                  app_encode_fun(fun(
2.84/3.03	                                                                 product_prod(
2.84/3.03	                                                                 arrow_411405190le_alt,
2.84/3.03	                                                                 arrow_411405190le_alt),
2.84/3.03	                                                                 bool),bool),
2.84/3.03	                                                  aa(fun(product_prod(
2.84/3.03	                                                         arrow_411405190le_alt,
2.84/3.03	                                                         arrow_411405190le_alt),
2.84/3.03	                                                         bool),
2.84/3.03	                                                     bool),
2.84/3.03	                                                  app_encode_app(fun(
2.84/3.03	                                                                 arrow_411405190le_alt,
2.84/3.03	                                                                 bool),
2.84/3.03	                                                                 fun(
2.84/3.03	                                                                 fun(
2.84/3.03	                                                                 product_prod(
2.84/3.03	                                                                 arrow_411405190le_alt,
2.84/3.03	                                                                 arrow_411405190le_alt),
2.84/3.03	                                                                 bool),bool),
2.84/3.03	                                                                 order_215145569der_on(
2.84/3.03	                                                                 arrow_411405190le_alt),
2.84/3.03	                                                                 top_top(
2.84/3.03	                                                                 fun(
2.84/3.03	                                                                 arrow_411405190le_alt,
2.84/3.03	                                                                 bool)))),
2.84/3.03	                                   L)))).
2.84/3.03	tff(zf_stmt_0, negated_conjecture,
2.84/3.03	  (~
2.84/3.03	    (?[L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
2.84/3.03	       app_encode_app(bool,$o,pp,
2.84/3.03	                      app_encode_app(fun(product_prod(arrow_411405190le_alt,
2.84/3.03	                                                      arrow_411405190le_alt),
2.84/3.03	                                         bool),
2.84/3.03	                                     bool,
2.84/3.03	                                     app_encode_app(fun(fun(product_prod(
2.84/3.03	                                                            arrow_411405190le_alt,
2.84/3.03	                                                            arrow_411405190le_alt),
2.84/3.03	                                                            bool),
2.84/3.03	                                                        bool),
2.84/3.03	                                                    app_encode_fun(fun(
2.84/3.03	                                                                   product_prod(
2.84/3.03	                                                                   arrow_411405190le_alt,
2.84/3.03	                                                                   arrow_411405190le_alt),
2.84/3.03	                                                                   bool),bool),
2.84/3.03	                                                    aa(fun(product_prod(
2.84/3.03	                                                           arrow_411405190le_alt,
2.84/3.03	                                                           arrow_411405190le_alt),
2.84/3.03	                                                           bool),
2.84/3.03	                                                       bool),
2.84/3.03	                                                    app_encode_app(fun(
2.84/3.03	                                                                   arrow_411405190le_alt,
2.84/3.03	                                                                   bool),
2.84/3.03	                                                                   fun(
2.84/3.03	                                                                   fun(
2.84/3.03	                                                                   product_prod(
2.84/3.03	                                                                   arrow_411405190le_alt,
2.84/3.03	                                                                   arrow_411405190le_alt),
2.84/3.03	                                                                   bool),bool),
2.84/3.03	                                                                   order_215145569der_on(
2.84/3.03	                                                                   arrow_411405190le_alt),
2.84/3.03	                                                                   top_top(
2.84/3.03	                                                                   fun(
2.84/3.03	                                                                   arrow_411405190le_alt,
2.84/3.03	                                                                   bool)))),
2.84/3.03	                                     L))))).
2.84/3.03	tff('9', plain,
2.84/3.03	    ![X325 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool)]:
2.84/3.03	      ~ app_encode_app(bool, $o, pp, 
2.84/3.03	          app_encode_app(
2.84/3.03	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	              bool), bool, 
2.84/3.03	            app_encode_app(
2.84/3.03	              fun(
2.84/3.03	                fun(
2.84/3.03	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                  bool), bool), 
2.84/3.03	              app_encode_fun(
2.84/3.03	                fun(
2.84/3.03	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                  bool), bool), 
2.84/3.03	              aa(
2.84/3.03	                fun(
2.84/3.03	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                  bool), bool), 
2.84/3.03	              app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	                fun(
2.84/3.03	                  fun(
2.84/3.03	                    product_prod(arrow_411405190le_alt, 
2.84/3.03	                      arrow_411405190le_alt), bool), bool), 
2.84/3.03	                order_215145569der_on(arrow_411405190le_alt), 
2.84/3.03	                top_top(fun(arrow_411405190le_alt, bool)))), X325)),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.84/3.03	tff('10', plain,
2.84/3.03	    ![X325 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool)]:
2.84/3.03	      ~ app_encode_app(bool, $o, pp, 
2.84/3.03	          app_encode_app(
2.84/3.03	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	              bool), bool, 
2.84/3.03	            app_encode_app(
2.84/3.03	              fun(
2.84/3.03	                fun(
2.84/3.03	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                  bool), bool), 
2.84/3.03	              app_encode_fun(
2.84/3.03	                fun(
2.84/3.03	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                  bool), bool), 
2.84/3.03	              aa(
2.84/3.03	                fun(
2.84/3.03	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                  bool), bool), arrow_1985332922le_Lin), X325)),
2.84/3.03	    inference('demod', [status(thm)], ['9', '3'])).
2.84/3.03	tff('11', plain,
2.84/3.03	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool)]:
2.84/3.03	      (~ $true
2.84/3.03	       | app_encode_app(
2.84/3.03	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool), bool, 
2.84/3.03	           app_encode_app(
2.84/3.03	             fun(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), bool), 
2.84/3.03	             app_encode_fun(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), bool), 
2.84/3.03	             aa(
2.84/3.03	               fun(
2.84/3.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                 bool), bool), arrow_1985332922le_Lin), X0)
2.84/3.03	          = fFalse),
2.84/3.03	    inference('sup-', [status(thm)], ['8', '10'])).
2.84/3.03	tff('12', plain,
2.84/3.03	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool)]:
2.84/3.03	      app_encode_app(
2.84/3.03	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
2.84/3.03	        bool, 
2.84/3.03	        app_encode_app(
2.84/3.03	          fun(
2.84/3.03	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	              bool), bool), 
2.84/3.03	          app_encode_fun(
2.84/3.03	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	              bool), bool), 
2.84/3.03	          aa(
2.84/3.03	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	              bool), bool), arrow_1985332922le_Lin), X0)
2.84/3.03	       = fFalse,
2.84/3.03	    inference('simplify', [status(thm)], ['11'])).
2.84/3.03	tff('13', plain,
2.84/3.03	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool)]:
2.84/3.03	      (app_encode_app(bool, $o, pp, fFalse)
2.84/3.03	       | ~ app_encode_app(
2.84/3.03	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	               bool), $o, 
2.84/3.03	             app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	               app_encode_fun(
2.84/3.03	                 fun(
2.84/3.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                   bool), $o), 
2.84/3.03	               order_1409979114der_on(arrow_411405190le_alt), 
2.84/3.03	               top_top(fun(arrow_411405190le_alt, bool))), X0)),
2.84/3.03	    inference('demod', [status(thm)], ['5', '12'])).
2.84/3.03	tff(zf_stmt_158, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
2.84/3.03	tff('14', plain, ~ app_encode_app(bool, $o, pp, fFalse),
2.84/3.03	    inference('cnf', [status(esa)], [zf_stmt_158])).
2.84/3.03	tff('15', plain,
2.84/3.03	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	             bool)]:
2.84/3.03	      ~ app_encode_app(
2.84/3.03	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	            bool), $o, 
2.84/3.03	          app_encode_app(fun(arrow_411405190le_alt, bool), 
2.84/3.03	            app_encode_fun(
2.84/3.03	              fun(
2.84/3.03	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
2.84/3.03	                bool), $o), order_1409979114der_on(arrow_411405190le_alt), 
2.84/3.03	            top_top(fun(arrow_411405190le_alt, bool))), X0),
2.84/3.03	    inference('clc', [status(thm)], ['13', '14'])).
2.84/3.03	tff('16', plain, ~ $true, inference('sup-', [status(thm)], ['0', '15'])).
2.84/3.03	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
2.84/3.03	
2.84/3.03	% SZS output end Refutation
2.84/3.03	EOF
