0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
0.00/0.01	% Ordering    : rpo6
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n110.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 13:50:09 CST 2018
8.53/8.77	% done 1550 iterations in 8.557s
8.53/8.77	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
8.53/8.77	% SZS output start Refutation
8.53/8.77	tff(fact_0_linear__alt, axiom,
8.53/8.77	  (?[L1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
8.53/8.77	     pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
8.53/8.77	                   bool),
8.53/8.77	               bool),
8.53/8.77	           bool,
8.53/8.77	           aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
8.53/8.77	                  bool),
8.53/8.77	              fun(fun(fun(product_prod(arrow_411405190le_alt,
8.53/8.77	                                       arrow_411405190le_alt),
8.53/8.77	                          bool),
8.53/8.77	                      bool),
8.53/8.77	                  bool),
8.53/8.77	              member(fun(product_prod(arrow_411405190le_alt,
8.53/8.77	                                      arrow_411405190le_alt),
8.53/8.77	                         bool)),
8.53/8.77	              L1),
8.53/8.77	           arrow_1985332922le_Lin)))).
8.53/8.77	tff('0', plain,
8.53/8.77	    pp(
8.53/8.77	      aa(
8.53/8.77	        fun(
8.53/8.77	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	            bool), bool), bool, 
8.53/8.77	        aa(
8.53/8.77	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	            bool), 
8.53/8.77	          fun(
8.53/8.77	            fun(
8.53/8.77	              fun(
8.53/8.77	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                bool), bool), bool), 
8.53/8.77	          member(
8.53/8.77	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	              bool)), sk_L1), arrow_1985332922le_Lin)),
8.53/8.77	    inference('cnf', [status(esa)], [fact_0_linear__alt])).
8.53/8.77	tff(fact_76_mem__def, axiom,
8.53/8.77	  (![A:$tType,A4:fun(A,bool),X1:A]:
8.53/8.77	     (pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),X1),A4)) <=>
8.53/8.77	      pp(aa(A,bool,A4,X1))))).
8.53/8.77	tff('1', plain,
8.53/8.77	    ![X335 : $tType, X336 : fun(X335, bool), X337 : X335]:
8.53/8.77	      (pp(aa(X335, bool, X336, X337))
8.53/8.77	       | ~ pp(
8.53/8.77	             aa(fun(X335, bool), bool, 
8.53/8.77	               aa(X335, fun(fun(X335, bool), bool), member(X335), X337), 
8.53/8.77	               X336))),
8.53/8.77	    inference('cnf', [status(esa)], [fact_76_mem__def])).
8.53/8.77	tff('2', plain,
8.53/8.77	    (~ $true
8.53/8.77	     | pp(
8.53/8.77	         aa(
8.53/8.77	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	             bool), bool, arrow_1985332922le_Lin, sk_L1))),
8.53/8.77	    inference('sup-', [status(thm)], ['0', '1'])).
8.53/8.77	tff('3', plain,
8.53/8.77	    pp(
8.53/8.77	      aa(
8.53/8.77	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
8.53/8.77	        bool, arrow_1985332922le_Lin, sk_L1)),
8.53/8.77	    inference('simplify', [status(thm)], ['2'])).
8.53/8.77	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
8.53/8.77	tff('4', plain, ![X459 : bool]: (X459 = fFalse | X459 = fTrue),
8.53/8.77	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
8.53/8.77	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
8.53/8.77	tff('5', plain, ~ pp(fFalse),
8.53/8.77	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
8.53/8.77	tff('6', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
8.53/8.77	    inference('sup-', [status(thm)], ['4', '5'])).
8.53/8.77	tff(fact_24_UNIV__def, axiom,
8.53/8.77	  (![A:$tType]: (top_top(fun(A,bool)) = collect(A,combk(bool,A,fTrue))))).
8.53/8.77	tff('7', plain,
8.53/8.77	    ![X94 : $tType]:
8.53/8.77	      top_top(fun(X94, bool)) = collect(X94, combk(bool, X94, fTrue)),
8.53/8.77	    inference('cnf', [status(esa)], [fact_24_UNIV__def])).
8.53/8.77	tff(fact_77_Collect__def, axiom,
8.53/8.77	  (![A:$tType,P1:fun(A,bool)]: (collect(A,P1) = P1))).
8.53/8.77	tff('8', plain,
8.53/8.77	    ![X339 : $tType, X340 : fun(X339, bool)]: collect(X339, X340) = X340,
8.53/8.77	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
8.53/8.77	tff('9', plain,
8.53/8.77	    ![X94 : $tType]: top_top(fun(X94, bool)) = combk(bool, X94, fTrue),
8.53/8.77	    inference('demod', [status(thm)], ['7', '8'])).
8.53/8.77	tff(help_COMBK_1_1_U, axiom,
8.53/8.77	  (![B:$tType,A:$tType,Q:B,P:A]: (aa(B,A,combk(A,B,P),Q) = P))).
8.53/8.77	tff('10', plain,
8.53/8.77	    ![X455 : $tType, X456 : X455, X457 : $tType, X458 : X457]:
8.53/8.77	      aa(X457, X455, combk(X455, X457, X456), X458) = X456,
8.53/8.77	    inference('cnf', [status(esa)], [help_COMBK_1_1_U])).
8.53/8.77	tff('11', plain,
8.53/8.77	    ![X0 : $tType, X1 : X0]: aa(X0, bool, top_top(fun(X0, bool)), X1) = fTrue,
8.53/8.77	    inference('sup+', [status(thm)], ['9', '10'])).
8.53/8.77	tff(arity_HOL_Obool___Orderings_Otop, axiom, (top(bool))).
8.53/8.77	tff('12', plain, top(bool),
8.53/8.77	    inference('cnf', [status(esa)], [arity_HOL_Obool___Orderings_Otop])).
8.53/8.77	tff(fact_22_top__apply, axiom,
8.53/8.77	  (![B:$tType,A:$tType]:
8.53/8.77	     (top(A) => (![X1:B]: (aa(B,A,top_top(fun(B,A)),X1) = top_top(A)))))).
8.53/8.77	tff('13', plain,
8.53/8.77	    ![X85 : $tType, X86 : $tType, X87 : X86]:
8.53/8.77	      (aa(X86, X85, top_top(fun(X86, X85)), X87) = top_top(X85) | ~ top(X85)),
8.53/8.77	    inference('cnf', [status(esa)], [fact_22_top__apply])).
8.53/8.77	tff('14', plain,
8.53/8.77	    ![X0 : $tType, X1 : X0]:
8.53/8.77	      (~ $true | aa(X0, bool, top_top(fun(X0, bool)), X1) = top_top(bool)),
8.53/8.77	    inference('sup-', [status(thm)], ['12', '13'])).
8.53/8.77	tff('15', plain,
8.53/8.77	    ![X0 : $tType, X1 : X0]:
8.53/8.77	      aa(X0, bool, top_top(fun(X0, bool)), X1) = top_top(bool),
8.53/8.77	    inference('simplify', [status(thm)], ['14'])).
8.53/8.77	tff('16', plain, top_top(bool) = fTrue,
8.53/8.77	    inference('demod', [status(thm)], ['11', '15'])).
8.53/8.77	tff('17', plain, ![X0 : bool]: (~ pp(X0) | X0 = top_top(bool)),
8.53/8.77	    inference('demod', [status(thm)], ['6', '16'])).
8.53/8.77	tff('18', plain,
8.53/8.77	    (~ $true
8.53/8.77	     | aa(
8.53/8.77	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	           bool), bool, arrow_1985332922le_Lin, sk_L1)
8.53/8.77	        = top_top(bool)),
8.53/8.77	    inference('sup-', [status(thm)], ['3', '17'])).
8.53/8.77	tff('19', plain,
8.53/8.77	    aa(
8.53/8.77	      fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
8.53/8.77	      bool, arrow_1985332922le_Lin, sk_L1)
8.53/8.77	     = top_top(bool),
8.53/8.77	    inference('simplify', [status(thm)], ['18'])).
8.53/8.77	tff('20', plain,
8.53/8.77	    ![X335 : $tType, X336 : fun(X335, bool), X338 : X335]:
8.53/8.77	      (pp(
8.53/8.77	         aa(fun(X335, bool), bool, 
8.53/8.77	           aa(X335, fun(fun(X335, bool), bool), member(X335), X338), X336))
8.53/8.77	       | ~ pp(aa(X335, bool, X336, X338))),
8.53/8.77	    inference('cnf', [status(esa)], [fact_76_mem__def])).
8.53/8.77	tff(conj_0, axiom,
8.53/8.77	  (![R:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
8.53/8.77	     (pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
8.53/8.77	                    bool),
8.53/8.77	                bool),
8.53/8.77	            bool,
8.53/8.77	            aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
8.53/8.77	                   bool),
8.53/8.77	               fun(fun(fun(product_prod(arrow_411405190le_alt,
8.53/8.77	                                        arrow_411405190le_alt),
8.53/8.77	                           bool),
8.53/8.77	                       bool),
8.53/8.77	                   bool),
8.53/8.77	               member(fun(product_prod(arrow_411405190le_alt,
8.53/8.77	                                       arrow_411405190le_alt),
8.53/8.77	                          bool)),
8.53/8.77	               R),
8.53/8.77	            arrow_1985332922le_Lin)) =>
8.53/8.77	      thesis))).
8.53/8.77	tff('21', plain,
8.53/8.77	    ![X467 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	               bool)]:
8.53/8.77	      (thesis
8.53/8.77	       | ~ pp(
8.53/8.77	             aa(
8.53/8.77	               fun(
8.53/8.77	                 fun(
8.53/8.77	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                   bool), bool), bool, 
8.53/8.77	               aa(
8.53/8.77	                 fun(
8.53/8.77	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                   bool), 
8.53/8.77	                 fun(
8.53/8.77	                   fun(
8.53/8.77	                     fun(
8.53/8.77	                       product_prod(arrow_411405190le_alt, 
8.53/8.77	                         arrow_411405190le_alt), bool), bool), bool), 
8.53/8.77	                 member(
8.53/8.77	                   fun(
8.53/8.77	                     product_prod(arrow_411405190le_alt, 
8.53/8.77	                       arrow_411405190le_alt), bool)), X467), 
8.53/8.77	               arrow_1985332922le_Lin))),
8.53/8.77	    inference('cnf', [status(esa)], [conj_0])).
8.53/8.77	tff(conj_1, conjecture, (thesis)).
8.53/8.77	tff(zf_stmt_0, negated_conjecture, (~thesis)).
8.53/8.77	tff('22', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
8.53/8.77	tff('23', plain,
8.53/8.77	    ![X467 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	               bool)]:
8.53/8.77	      ~ pp(
8.53/8.77	          aa(
8.53/8.77	            fun(
8.53/8.77	              fun(
8.53/8.77	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                bool), bool), bool, 
8.53/8.77	            aa(
8.53/8.77	              fun(
8.53/8.77	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                bool), 
8.53/8.77	              fun(
8.53/8.77	                fun(
8.53/8.77	                  fun(
8.53/8.77	                    product_prod(arrow_411405190le_alt, 
8.53/8.77	                      arrow_411405190le_alt), bool), bool), bool), 
8.53/8.77	              member(
8.53/8.77	                fun(
8.53/8.77	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                  bool)), X467), arrow_1985332922le_Lin)),
8.53/8.77	    inference('clc', [status(thm)], ['21', '22'])).
8.53/8.77	tff('24', plain,
8.53/8.77	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	             bool)]:
8.53/8.77	      (~ $true
8.53/8.77	       | ~ pp(
8.53/8.77	             aa(
8.53/8.77	               fun(
8.53/8.77	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	                 bool), bool, arrow_1985332922le_Lin, X0))),
8.53/8.77	    inference('sup-', [status(thm)], ['20', '23'])).
8.53/8.77	tff('25', plain,
8.53/8.77	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	             bool)]:
8.53/8.77	      ~ pp(
8.53/8.77	          aa(
8.53/8.77	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
8.53/8.77	              bool), bool, arrow_1985332922le_Lin, X0)),
8.53/8.77	    inference('simplify', [status(thm)], ['24'])).
8.53/8.77	tff('26', plain, ~ pp(top_top(bool)),
8.53/8.77	    inference('sup-', [status(thm)], ['19', '25'])).
8.53/8.77	tff(fact_15_top1I, axiom,
8.53/8.77	  (![A:$tType,X1:A]: pp(aa(A,bool,top_top(fun(A,bool)),X1)))).
8.53/8.77	tff('27', plain,
8.53/8.77	    ![X55 : $tType, X56 : X55]:
8.53/8.77	      pp(aa(X55, bool, top_top(fun(X55, bool)), X56)),
8.53/8.77	    inference('cnf', [status(esa)], [fact_15_top1I])).
8.53/8.77	tff('28', plain, pp(top_top(bool)),
8.53/8.77	    inference('demod', [status(thm)], ['27', '15'])).
8.53/8.77	tff('29', plain, ~ $true, inference('demod', [status(thm)], ['26', '28'])).
8.53/8.77	tff('30', plain, $false, inference('simplify', [status(thm)], ['29'])).
8.53/8.77	
8.53/8.77	% SZS output end Refutation
8.53/8.77	EOF
