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    : fo
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-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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n143.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 13:44:08 CST 2018
0.00/0.38	% done 308 iterations in 0.172s
0.00/0.38	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.38	% SZS output start Refutation
0.00/0.38	tff(fact_26_empty__Collect__eq, axiom,
0.00/0.38	  (![A:$tType,P1:fun(A,bool)]:
0.00/0.38	     ((bot_bot(fun(A,bool)) = collect(A,P1)) <=>
0.00/0.38	      (![X4:A]: (~pp(aa(A,bool,P1,X4))))))).
0.00/0.38	tff('0', plain,
0.00/0.38	    ![X83 : $tType, X86 : fun(X83, bool)]:
0.00/0.38	      (bot_bot(fun(X83, bool)) = collect(X83, X86)
0.00/0.38	       | pp(aa(X83, bool, X86, sk_X41(X83, X86)))),
0.00/0.38	    inference('cnf', [status(esa)], [fact_26_empty__Collect__eq])).
0.00/0.38	tff(fact_77_Collect__def, axiom,
0.00/0.38	  (![A:$tType,P1:fun(A,bool)]: (collect(A,P1) = P1))).
0.00/0.38	tff('1', plain,
0.00/0.38	    ![X208 : $tType, X209 : fun(X208, bool)]: collect(X208, X209) = X209,
0.00/0.38	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
0.00/0.38	tff('2', plain,
0.00/0.38	    ![X83 : $tType, X86 : fun(X83, bool)]:
0.00/0.38	      (bot_bot(fun(X83, bool)) = X86
0.00/0.38	       | pp(aa(X83, bool, X86, sk_X41(X83, X86)))),
0.00/0.38	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.38	tff(conj_2, conjecture,
0.00/0.38	  (?[L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
0.00/0.38	     pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
0.00/0.38	           bool,
0.00/0.38	           order_215145569der_on(arrow_411405190le_alt,
0.00/0.38	                                 top_top(fun(arrow_411405190le_alt,bool))),
0.00/0.38	           L)))).
0.00/0.38	tff(zf_stmt_0, negated_conjecture,
0.00/0.38	  (~
0.00/0.38	    (?[L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
0.00/0.38	       pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
0.00/0.38	                 bool),
0.00/0.38	             bool,
0.00/0.38	             order_215145569der_on(arrow_411405190le_alt,
0.00/0.38	                                   top_top(fun(arrow_411405190le_alt,bool))),
0.00/0.38	             L))))).
0.00/0.38	tff('3', plain,
0.00/0.38	    ![X321 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.00/0.38	               bool)]:
0.00/0.38	      ~ pp(
0.00/0.38	          aa(
0.00/0.38	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.00/0.38	              bool), bool, 
0.00/0.38	            order_215145569der_on(arrow_411405190le_alt, 
0.00/0.38	              top_top(fun(arrow_411405190le_alt, bool))), X321)),
0.00/0.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.38	tff('4', plain,
0.00/0.38	    (~ $true
0.00/0.38	     | bot_bot(
0.00/0.38	         fun(
0.00/0.38	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.00/0.38	             bool), bool))
0.00/0.38	        = order_215145569der_on(arrow_411405190le_alt, 
0.00/0.38	            top_top(fun(arrow_411405190le_alt, bool)))),
0.00/0.38	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.38	tff('5', plain,
0.00/0.38	    bot_bot(
0.00/0.38	      fun(
0.00/0.38	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
0.00/0.38	        bool))
0.00/0.38	     = order_215145569der_on(arrow_411405190le_alt, 
0.00/0.38	         top_top(fun(arrow_411405190le_alt, bool))),
0.00/0.38	    inference('simplify', [status(thm)], ['4'])).
0.00/0.38	tff(fact_23_well__order__on, axiom,
0.00/0.38	  (![A:$tType,A1:fun(A,bool)]:
0.00/0.38	     (?[X11:fun(product_prod(A,A),bool)]: order_well_order_on(A,A1,X11)))).
0.00/0.38	tff('6', plain,
0.00/0.38	    ![X75 : $tType, X76 : fun(X75, bool)]:
0.00/0.38	      order_well_order_on(X75, X76, sk_X11(X75, X76)),
0.00/0.38	    inference('cnf', [status(esa)], [fact_23_well__order__on])).
0.00/0.38	tff(fact_9_well__order__on__def, axiom,
0.00/0.38	  (![A:$tType,R1:fun(product_prod(A,A),bool),A1:fun(A,bool)]:
0.00/0.38	     (order_well_order_on(A,A1,R1) <=>
0.00/0.38	      (wf(A,minus_minus(fun(product_prod(A,A),bool),R1,id(A))) & 
0.00/0.38	       order_1409979114der_on(A,A1,R1))))).
0.00/0.38	tff('7', plain,
0.00/0.38	    ![X25 : $tType, X26 : fun(product_prod(X25, X25), bool), 
0.00/0.38	      X27 : fun(X25, bool)]:
0.00/0.38	      (order_1409979114der_on(X25, X27, X26)
0.00/0.38	       | ~ order_well_order_on(X25, X27, X26)),
0.00/0.38	    inference('cnf', [status(esa)], [fact_9_well__order__on__def])).
0.00/0.38	tff('8', plain,
0.00/0.38	    ![X0 : $tType, X1 : fun(X0, bool)]:
0.00/0.38	      (~ $true | order_1409979114der_on(X0, X1, sk_X11(X0, X1))),
0.00/0.38	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.38	tff('9', plain,
0.00/0.38	    ![X0 : $tType, X1 : fun(X0, bool)]:
0.00/0.38	      order_1409979114der_on(X0, X1, sk_X11(X0, X1)),
0.00/0.38	    inference('simplify', [status(thm)], ['8'])).
0.00/0.38	tff(fact_0_strict__linear__order__on__diff__Id, axiom,
0.00/0.38	  (![A:$tType,R1:fun(product_prod(A,A),bool),A1:fun(A,bool)]:
0.00/0.38	     (order_1409979114der_on(A,A1,R1) =>
0.00/0.38	      pp(aa(fun(product_prod(A,A),bool),bool,order_215145569der_on(A,A1),
0.00/0.38	            minus_minus(fun(product_prod(A,A),bool),R1,id(A))))))).
0.00/0.38	tff('10', plain,
0.00/0.38	    ![X0 : $tType, X1 : fun(X0, bool), X2 : fun(product_prod(X0, X0), bool)]:
0.00/0.38	      (pp(
0.00/0.38	         aa(fun(product_prod(X0, X0), bool), bool, 
0.00/0.38	           order_215145569der_on(X0, X1), 
0.00/0.38	           minus_minus(fun(product_prod(X0, X0), bool), X2, id(X0))))
0.00/0.38	       | ~ order_1409979114der_on(X0, X1, X2)),
0.00/0.38	    inference('cnf', [status(esa)],
0.00/0.38	              [fact_0_strict__linear__order__on__diff__Id])).
0.00/0.38	tff('11', plain,
0.00/0.38	    ![X0 : $tType, X1 : fun(X0, bool)]:
0.00/0.38	      (~ $true
0.00/0.38	       | pp(
0.00/0.38	           aa(fun(product_prod(X0, X0), bool), bool, 
0.00/0.38	             order_215145569der_on(X0, X1), 
0.00/0.38	             minus_minus(fun(product_prod(X0, X0), bool), sk_X11(X0, X1), 
0.00/0.38	               id(X0))))),
0.00/0.38	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.38	tff('12', plain,
0.00/0.38	    ![X0 : $tType, X1 : fun(X0, bool)]:
0.00/0.38	      pp(
0.00/0.38	        aa(fun(product_prod(X0, X0), bool), bool, 
0.00/0.38	          order_215145569der_on(X0, X1), 
0.00/0.38	          minus_minus(fun(product_prod(X0, X0), bool), sk_X11(X0, X1), 
0.00/0.38	            id(X0)))),
0.00/0.38	    inference('simplify', [status(thm)], ['11'])).
0.00/0.38	tff('13', plain,
0.00/0.38	    pp(
0.00/0.38	      aa(
0.00/0.38	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
0.00/0.38	        bool, 
0.00/0.38	        bot_bot(
0.00/0.38	          fun(
0.00/0.38	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.00/0.38	              bool), bool)), 
0.00/0.38	        minus_minus(
0.00/0.38	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.00/0.38	            bool), 
0.00/0.38	          sk_X11(arrow_411405190le_alt, 
0.00/0.38	            top_top(fun(arrow_411405190le_alt, bool))), 
0.00/0.38	          id(arrow_411405190le_alt)))),
0.00/0.38	    inference('sup+', [status(thm)], ['5', '12'])).
0.00/0.38	tff(fact_33_empty__def, axiom,
0.00/0.38	  (![A:$tType]: (bot_bot(fun(A,bool)) = collect(A,combk(bool,A,fFalse))))).
0.00/0.38	tff('14', plain,
0.00/0.38	    ![X102 : $tType]:
0.00/0.38	      bot_bot(fun(X102, bool)) = collect(X102, combk(bool, X102, fFalse)),
0.00/0.38	    inference('cnf', [status(esa)], [fact_33_empty__def])).
0.00/0.38	tff('15', plain,
0.00/0.38	    ![X102 : $tType]: bot_bot(fun(X102, bool)) = combk(bool, X102, fFalse),
0.00/0.38	    inference('demod', [status(thm)], ['14', '1'])).
0.00/0.38	tff(help_COMBK_1_1_U, axiom,
0.00/0.38	  (![B:$tType,A:$tType,Q:B,P:A]: (aa(B,A,combk(A,B,P),Q) = P))).
0.00/0.38	tff('16', plain,
0.00/0.38	    ![X303 : $tType, X304 : X303, X305 : $tType, X306 : X305]:
0.00/0.38	      aa(X305, X303, combk(X303, X305, X304), X306) = X304,
0.00/0.38	    inference('cnf', [status(esa)], [help_COMBK_1_1_U])).
0.00/0.38	tff('17', plain,
0.00/0.38	    ![X0 : $tType, X1 : X0]:
0.00/0.38	      aa(X0, bool, bot_bot(fun(X0, bool)), X1) = fFalse,
0.00/0.38	    inference('sup+', [status(thm)], ['15', '16'])).
0.00/0.38	tff('18', plain, pp(fFalse), inference('demod', [status(thm)], ['13', '17'])).
0.00/0.38	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
0.00/0.38	tff('19', plain, ~ pp(fFalse),
0.00/0.38	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
0.00/0.38	tff('20', plain, ~ $true, inference('sup-', [status(thm)], ['18', '19'])).
0.00/0.38	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
0.00/0.38	
0.00/0.38	% SZS output end Refutation
0.00/0.38	EOF
