0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : rpo6
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.51	% Computer   : n164.star.cs.uiowa.edu
0.00/0.51	% Model      : x86_64 x86_64
0.00/0.51	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.51	% Memory     : 32218.625MB
0.00/0.51	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.51	% CPULimit   : 300
0.00/0.51	% DateTime   : Fri Feb  2 09:59:42 CST 2018
24.02/24.56	% done 1460 iterations in 24.043s
24.02/24.56	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
24.02/24.56	% SZS output start Refutation
24.02/24.56	tff(conj_1, axiom,
24.02/24.56	  (pp(aa(fun(hoare_28830079triple(a),bool),bool,
24.02/24.56	         aa(fun(hoare_28830079triple(a),bool),
24.02/24.56	            fun(fun(hoare_28830079triple(a),bool),bool),
24.02/24.56	            ord_less_eq(fun(hoare_28830079triple(a),bool)),tsa),
24.02/24.56	         ts)))).
24.02/24.56	tff('0', plain,
24.02/24.56	    pp(
24.02/24.56	      aa(fun(hoare_28830079triple(a), bool), bool, 
24.02/24.56	        aa(fun(hoare_28830079triple(a), bool), 
24.02/24.56	          fun(fun(hoare_28830079triple(a), bool), bool), 
24.02/24.56	          ord_less_eq(fun(hoare_28830079triple(a), bool)), tsa), ts)),
24.02/24.56	    inference('cnf', [status(esa)], [conj_1])).
24.02/24.56	tff(help_COMBC_1_1_U, axiom,
24.02/24.56	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
24.02/24.56	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
24.02/24.56	tff('1', plain,
24.02/24.56	    ![X400 : $tType, X401 : $tType, X402 : $tType, 
24.02/24.56	      X403 : fun(X402, fun(X400, X401)), X404 : X402, X405 : X400]:
24.02/24.56	      aa(X402, X401, combc(X402, X400, X401, X403, X405), X404)
24.02/24.56	       = aa(X400, X401, aa(X402, fun(X400, X401), X403, X404), X405),
24.02/24.56	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
24.02/24.56	tff(fact_58_Pow__def, axiom,
24.02/24.56	  (![B:$tType,A1:fun(B,bool)]:
24.02/24.56	     (pow(B,A1) =
24.02/24.56	      collect(fun(B,bool),
24.02/24.56	              combc(fun(B,bool),fun(B,bool),bool,ord_less_eq(fun(B,bool)),A1))))).
24.02/24.56	tff('2', plain,
24.02/24.56	    ![X238 : $tType, X239 : fun(X238, bool)]:
24.02/24.56	      pow(X238, X239)
24.02/24.56	       = collect(fun(X238, bool), 
24.02/24.56	           combc(fun(X238, bool), fun(X238, bool), bool, 
24.02/24.56	             ord_less_eq(fun(X238, bool)), X239)),
24.02/24.56	    inference('cnf', [status(esa)], [fact_58_Pow__def])).
24.02/24.56	tff(fact_77_Collect__def, axiom,
24.02/24.56	  (![B:$tType,P1:fun(B,bool)]: (collect(B,P1) = P1))).
24.02/24.56	tff('3', plain,
24.02/24.56	    ![X309 : $tType, X310 : fun(X309, bool)]: collect(X309, X310) = X310,
24.02/24.56	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
24.02/24.56	tff('4', plain,
24.02/24.56	    ![X238 : $tType, X239 : fun(X238, bool)]:
24.02/24.56	      pow(X238, X239)
24.02/24.56	       = combc(fun(X238, bool), fun(X238, bool), bool, 
24.02/24.56	           ord_less_eq(fun(X238, bool)), X239),
24.02/24.56	    inference('demod', [status(thm)], ['2', '3'])).
24.02/24.56	tff('5', plain,
24.02/24.56	    pp(
24.02/24.56	      aa(fun(hoare_28830079triple(a), bool), bool, 
24.02/24.56	        pow(hoare_28830079triple(a), ts), tsa)),
24.02/24.56	    inference('demod', [status(thm)], ['0', '1', '4'])).
24.02/24.56	tff(fact_1_weaken, axiom,
24.02/24.56	  (![B:$tType,Tsa:fun(hoare_28830079triple(B),bool),
24.02/24.56	     Ts:fun(hoare_28830079triple(B),bool),
24.02/24.56	     G1:fun(hoare_28830079triple(B),bool)]:
24.02/24.56	     (hoare_992312373derivs(B,G1,Ts) =>
24.02/24.56	      (pp(aa(fun(hoare_28830079triple(B),bool),bool,
24.02/24.56	             aa(fun(hoare_28830079triple(B),bool),
24.02/24.56	                fun(fun(hoare_28830079triple(B),bool),bool),
24.02/24.56	                ord_less_eq(fun(hoare_28830079triple(B),bool)),Tsa),
24.02/24.56	             Ts)) =>
24.02/24.56	       hoare_992312373derivs(B,G1,Tsa))))).
24.02/24.56	tff('6', plain,
24.02/24.56	    ![X3 : $tType, X4 : fun(hoare_28830079triple(X3), bool), 
24.02/24.56	      X5 : fun(hoare_28830079triple(X3), bool), 
24.02/24.56	      X6 : fun(hoare_28830079triple(X3), bool)]:
24.02/24.56	      (~ pp(
24.02/24.56	           aa(fun(hoare_28830079triple(X3), bool), bool, 
24.02/24.56	             aa(fun(hoare_28830079triple(X3), bool), 
24.02/24.56	               fun(fun(hoare_28830079triple(X3), bool), bool), 
24.02/24.56	               ord_less_eq(fun(hoare_28830079triple(X3), bool)), X4), X5))
24.02/24.56	       | ~ hoare_992312373derivs(X3, X6, X5)
24.02/24.56	       | hoare_992312373derivs(X3, X6, X4)),
24.02/24.56	    inference('cnf', [status(esa)], [fact_1_weaken])).
24.02/24.56	tff('7', plain,
24.02/24.56	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
24.02/24.56	      X2 : fun(hoare_28830079triple(X0), bool), 
24.02/24.56	      X3 : fun(hoare_28830079triple(X0), bool)]:
24.02/24.56	      (~ pp(
24.02/24.56	           aa(fun(hoare_28830079triple(X0), bool), bool, 
24.02/24.56	             combc(fun(hoare_28830079triple(X0), bool), 
24.02/24.56	               fun(hoare_28830079triple(X0), bool), bool, 
24.02/24.56	               ord_less_eq(fun(hoare_28830079triple(X0), bool)), X2), X1))
24.02/24.56	       | hoare_992312373derivs(X0, X3, X1)
24.02/24.56	       | ~ hoare_992312373derivs(X0, X3, X2)),
24.02/24.56	    inference('sup-', [status(thm)], ['1', '6'])).
24.02/24.56	tff('8', plain,
24.02/24.56	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
24.02/24.56	      X2 : fun(hoare_28830079triple(X0), bool), 
24.02/24.56	      X3 : fun(hoare_28830079triple(X0), bool)]:
24.02/24.56	      (~ pp(
24.02/24.56	           aa(fun(hoare_28830079triple(X0), bool), bool, 
24.02/24.56	             pow(hoare_28830079triple(X0), X2), X1))
24.02/24.56	       | hoare_992312373derivs(X0, X3, X1)
24.02/24.56	       | ~ hoare_992312373derivs(X0, X3, X2)),
24.02/24.56	    inference('demod', [status(thm)], ['7', '4'])).
24.02/24.56	tff('9', plain,
24.02/24.56	    ![X0 : fun(hoare_28830079triple(a), bool)]:
24.02/24.56	      (~ $true
24.02/24.56	       | ~ hoare_992312373derivs(a, X0, ts)
24.02/24.56	       | hoare_992312373derivs(a, X0, tsa)),
24.02/24.56	    inference('sup-', [status(thm)], ['5', '8'])).
24.02/24.56	tff('10', plain,
24.02/24.56	    ![X0 : fun(hoare_28830079triple(a), bool)]:
24.02/24.56	      (hoare_992312373derivs(a, X0, tsa) | ~ hoare_992312373derivs(a, X0, ts)),
24.02/24.56	    inference('simplify', [status(thm)], ['9'])).
24.02/24.56	tff(conj_4, conjecture, (hoare_992312373derivs(a,ga,tsa))).
24.02/24.56	tff(zf_stmt_0, negated_conjecture, (~hoare_992312373derivs(a,ga,tsa))).
24.02/24.56	tff('11', plain, ~ hoare_992312373derivs(a, ga, tsa),
24.02/24.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.02/24.56	tff('12', plain, (~ $true | ~ hoare_992312373derivs(a, ga, ts)),
24.02/24.56	    inference('sup-', [status(thm)], ['10', '11'])).
24.02/24.56	tff(conj_3, axiom, (hoare_992312373derivs(a,ga,ts))).
24.02/24.56	tff('13', plain, hoare_992312373derivs(a, ga, ts),
24.02/24.56	    inference('cnf', [status(esa)], [conj_3])).
24.02/24.56	tff('14', plain, (~ $true | ~ $true),
24.02/24.56	    inference('demod', [status(thm)], ['12', '13'])).
24.02/24.56	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
24.02/24.56	
24.02/24.56	% SZS output end Refutation
24.02/24.56	EOF
