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    : supatvars_int
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-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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n129.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 13:43:54 CST 2018
1.42/1.67	% done 1029 iterations in 1.458s
1.42/1.67	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.42/1.67	% SZS output start Refutation
1.42/1.67	tff(conj_0, axiom,
1.42/1.67	  (order_1409979114der_on(arrow_411405190le_alt,
1.42/1.67	                          top_top(fun(arrow_411405190le_alt,bool)),r))).
1.42/1.67	tff('0', plain,
1.42/1.67	    order_1409979114der_on(arrow_411405190le_alt, 
1.42/1.67	      top_top(fun(arrow_411405190le_alt, bool)), r),
1.42/1.67	    inference('cnf', [status(esa)], [conj_0])).
1.42/1.67	tff(fact_1_Lin__def, axiom,
1.42/1.67	  (arrow_1985332922le_Lin =
1.42/1.67	   collect(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
1.42/1.67	           order_215145569der_on(arrow_411405190le_alt,
1.42/1.67	                                 top_top(fun(arrow_411405190le_alt,bool)))))).
1.42/1.67	tff('1', plain,
1.42/1.67	    arrow_1985332922le_Lin
1.42/1.67	     = collect(
1.42/1.67	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	           bool), 
1.42/1.67	         order_215145569der_on(arrow_411405190le_alt, 
1.42/1.67	           top_top(fun(arrow_411405190le_alt, bool)))),
1.42/1.67	    inference('cnf', [status(esa)], [fact_1_Lin__def])).
1.42/1.67	tff(fact_77_Collect__def, axiom,
1.42/1.67	  (![A:$tType,P1:fun(A,bool)]: (collect(A,P1) = P1))).
1.42/1.67	tff('2', plain,
1.42/1.67	    ![X208 : $tType, X209 : fun(X208, bool)]: collect(X208, X209) = X209,
1.42/1.67	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
1.42/1.67	tff('3', plain,
1.42/1.67	    arrow_1985332922le_Lin
1.42/1.67	     = order_215145569der_on(arrow_411405190le_alt, 
1.42/1.67	         top_top(fun(arrow_411405190le_alt, bool))),
1.42/1.67	    inference('demod', [status(thm)], ['1', '2'])).
1.42/1.67	tff(fact_0_strict__linear__order__on__diff__Id, axiom,
1.42/1.67	  (![A:$tType,R1:fun(product_prod(A,A),bool),A1:fun(A,bool)]:
1.42/1.67	     (order_1409979114der_on(A,A1,R1) =>
1.42/1.67	      pp(aa(fun(product_prod(A,A),bool),bool,order_215145569der_on(A,A1),
1.42/1.67	            minus_minus(fun(product_prod(A,A),bool),R1,id(A))))))).
1.42/1.67	tff('4', plain,
1.42/1.67	    ![X0 : $tType, X1 : fun(X0, bool), X2 : fun(product_prod(X0, X0), bool)]:
1.42/1.67	      (pp(
1.42/1.67	         aa(fun(product_prod(X0, X0), bool), bool, 
1.42/1.67	           order_215145569der_on(X0, X1), 
1.42/1.67	           minus_minus(fun(product_prod(X0, X0), bool), X2, id(X0))))
1.42/1.67	       | ~ order_1409979114der_on(X0, X1, X2)),
1.42/1.67	    inference('cnf', [status(esa)],
1.42/1.67	              [fact_0_strict__linear__order__on__diff__Id])).
1.42/1.67	tff('5', plain,
1.42/1.67	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool)]:
1.42/1.67	      (pp(
1.42/1.67	         aa(
1.42/1.67	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool), bool, arrow_1985332922le_Lin, 
1.42/1.67	           minus_minus(
1.42/1.67	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	               bool), X0, id(arrow_411405190le_alt))))
1.42/1.67	       | ~ order_1409979114der_on(arrow_411405190le_alt, 
1.42/1.67	             top_top(fun(arrow_411405190le_alt, bool)), X0)),
1.42/1.67	    inference('sup+', [status(thm)], ['3', '4'])).
1.42/1.67	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
1.42/1.67	tff('6', plain, ![X313 : bool]: (X313 = fFalse | X313 = fTrue),
1.42/1.67	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
1.42/1.67	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
1.42/1.67	tff('7', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
1.42/1.67	tff('8', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
1.42/1.67	    inference('sup+', [status(thm)], ['6', '7'])).
1.42/1.67	tff(conj_2, conjecture,
1.42/1.67	  (?[L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
1.42/1.67	     pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
1.42/1.67	           bool,
1.42/1.67	           order_215145569der_on(arrow_411405190le_alt,
1.42/1.67	                                 top_top(fun(arrow_411405190le_alt,bool))),
1.42/1.67	           L)))).
1.42/1.67	tff(zf_stmt_0, negated_conjecture,
1.42/1.67	  (~
1.42/1.67	    (?[L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
1.42/1.67	       pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
1.42/1.67	                 bool),
1.42/1.67	             bool,
1.42/1.67	             order_215145569der_on(arrow_411405190le_alt,
1.42/1.67	                                   top_top(fun(arrow_411405190le_alt,bool))),
1.42/1.67	             L))))).
1.42/1.67	tff('9', plain,
1.42/1.67	    ![X321 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	               bool)]:
1.42/1.67	      ~ pp(
1.42/1.67	          aa(
1.42/1.67	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	              bool), bool, 
1.42/1.67	            order_215145569der_on(arrow_411405190le_alt, 
1.42/1.67	              top_top(fun(arrow_411405190le_alt, bool))), X321)),
1.42/1.67	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.42/1.67	tff('10', plain,
1.42/1.67	    ![X321 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	               bool)]:
1.42/1.67	      ~ pp(
1.42/1.67	          aa(
1.42/1.67	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	              bool), bool, arrow_1985332922le_Lin, X321)),
1.42/1.67	    inference('demod', [status(thm)], ['9', '3'])).
1.42/1.67	tff('11', plain,
1.42/1.67	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool)]:
1.42/1.67	      (~ $true
1.42/1.67	       | aa(
1.42/1.67	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool), bool, arrow_1985332922le_Lin, X0)
1.42/1.67	          = fFalse),
1.42/1.67	    inference('sup-', [status(thm)], ['8', '10'])).
1.42/1.67	tff('12', plain,
1.42/1.67	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool)]:
1.42/1.67	      aa(
1.42/1.67	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
1.42/1.67	        bool, arrow_1985332922le_Lin, X0)
1.42/1.67	       = fFalse,
1.42/1.67	    inference('simplify', [status(thm)], ['11'])).
1.42/1.67	tff('13', plain,
1.42/1.67	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool)]:
1.42/1.67	      (pp(fFalse)
1.42/1.67	       | ~ order_1409979114der_on(arrow_411405190le_alt, 
1.42/1.67	             top_top(fun(arrow_411405190le_alt, bool)), X0)),
1.42/1.67	    inference('demod', [status(thm)], ['5', '12'])).
1.42/1.67	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
1.42/1.67	tff('14', plain, ~ pp(fFalse),
1.42/1.67	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
1.42/1.67	tff('15', plain,
1.42/1.67	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
1.42/1.67	             bool)]:
1.42/1.67	      ~ order_1409979114der_on(arrow_411405190le_alt, 
1.42/1.67	          top_top(fun(arrow_411405190le_alt, bool)), X0),
1.42/1.67	    inference('clc', [status(thm)], ['13', '14'])).
1.42/1.67	tff('16', plain, ~ $true, inference('sup-', [status(thm)], ['0', '15'])).
1.42/1.67	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
1.42/1.67	
1.42/1.67	% SZS output end Refutation
1.42/1.67	EOF
