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_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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.02/2.08	% Computer   : n035.star.cs.uiowa.edu
0.02/2.08	% Model      : x86_64 x86_64
0.02/2.08	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/2.08	% Memory     : 32218.625MB
0.02/2.08	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/2.08	% CPULimit   : 300
0.02/2.08	% DateTime   : Fri Feb  2 09:59:49 CST 2018
16.17/18.27	% done 1399 iterations in 16.178s
16.17/18.27	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
16.17/18.27	% SZS output start Refutation
16.17/18.27	tff(conj_1, axiom,
16.17/18.27	  (pp(aa(fun(hoare_28830079triple(a),bool),bool,
16.17/18.27	         aa(fun(hoare_28830079triple(a),bool),
16.17/18.27	            fun(fun(hoare_28830079triple(a),bool),bool),
16.17/18.27	            ord_less_eq(fun(hoare_28830079triple(a),bool)),tsa),
16.17/18.27	         ts)))).
16.17/18.27	tff('0', plain,
16.17/18.27	    pp(
16.17/18.27	      aa(fun(hoare_28830079triple(a), bool), bool, 
16.17/18.27	        aa(fun(hoare_28830079triple(a), bool), 
16.17/18.27	          fun(fun(hoare_28830079triple(a), bool), bool), 
16.17/18.27	          ord_less_eq(fun(hoare_28830079triple(a), bool)), tsa), ts)),
16.17/18.27	    inference('cnf', [status(esa)], [conj_1])).
16.17/18.27	tff(help_COMBC_1_1_U, axiom,
16.17/18.27	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
16.17/18.27	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
16.17/18.27	tff('1', plain,
16.17/18.27	    ![X400 : $tType, X401 : $tType, X402 : $tType, 
16.17/18.27	      X403 : fun(X402, fun(X400, X401)), X404 : X402, X405 : X400]:
16.17/18.27	      aa(X402, X401, combc(X402, X400, X401, X403, X405), X404)
16.17/18.27	       = aa(X400, X401, aa(X402, fun(X400, X401), X403, X404), X405),
16.17/18.27	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
16.17/18.28	tff(fact_58_Pow__def, axiom,
16.17/18.28	  (![B:$tType,A1:fun(B,bool)]:
16.17/18.28	     (pow(B,A1) =
16.17/18.28	      collect(fun(B,bool),
16.17/18.28	              combc(fun(B,bool),fun(B,bool),bool,ord_less_eq(fun(B,bool)),A1))))).
16.17/18.28	tff('2', plain,
16.17/18.28	    ![X238 : $tType, X239 : fun(X238, bool)]:
16.17/18.28	      pow(X238, X239)
16.17/18.28	       = collect(fun(X238, bool), 
16.17/18.28	           combc(fun(X238, bool), fun(X238, bool), bool, 
16.17/18.28	             ord_less_eq(fun(X238, bool)), X239)),
16.17/18.28	    inference('cnf', [status(esa)], [fact_58_Pow__def])).
16.17/18.28	tff(fact_77_Collect__def, axiom,
16.17/18.28	  (![B:$tType,P1:fun(B,bool)]: (collect(B,P1) = P1))).
16.17/18.28	tff('3', plain,
16.17/18.28	    ![X309 : $tType, X310 : fun(X309, bool)]: collect(X309, X310) = X310,
16.17/18.28	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
16.17/18.28	tff('4', plain,
16.17/18.28	    ![X238 : $tType, X239 : fun(X238, bool)]:
16.17/18.28	      pow(X238, X239)
16.17/18.28	       = combc(fun(X238, bool), fun(X238, bool), bool, 
16.17/18.28	           ord_less_eq(fun(X238, bool)), X239),
16.17/18.28	    inference('demod', [status(thm)], ['2', '3'])).
16.17/18.28	tff('5', plain,
16.17/18.28	    pp(
16.17/18.28	      aa(fun(hoare_28830079triple(a), bool), bool, 
16.17/18.28	        pow(hoare_28830079triple(a), ts), tsa)),
16.17/18.28	    inference('demod', [status(thm)], ['0', '1', '4'])).
16.17/18.28	tff(fact_1_weaken, axiom,
16.17/18.28	  (![B:$tType,Tsa:fun(hoare_28830079triple(B),bool),
16.17/18.28	     Ts:fun(hoare_28830079triple(B),bool),
16.17/18.28	     G1:fun(hoare_28830079triple(B),bool)]:
16.17/18.28	     (hoare_992312373derivs(B,G1,Ts) =>
16.17/18.28	      (pp(aa(fun(hoare_28830079triple(B),bool),bool,
16.17/18.28	             aa(fun(hoare_28830079triple(B),bool),
16.17/18.28	                fun(fun(hoare_28830079triple(B),bool),bool),
16.17/18.28	                ord_less_eq(fun(hoare_28830079triple(B),bool)),Tsa),
16.17/18.28	             Ts)) =>
16.17/18.28	       hoare_992312373derivs(B,G1,Tsa))))).
16.17/18.28	tff('6', plain,
16.17/18.28	    ![X3 : $tType, X4 : fun(hoare_28830079triple(X3), bool), 
16.17/18.28	      X5 : fun(hoare_28830079triple(X3), bool), 
16.17/18.28	      X6 : fun(hoare_28830079triple(X3), bool)]:
16.17/18.28	      (~ pp(
16.17/18.28	           aa(fun(hoare_28830079triple(X3), bool), bool, 
16.17/18.28	             aa(fun(hoare_28830079triple(X3), bool), 
16.17/18.28	               fun(fun(hoare_28830079triple(X3), bool), bool), 
16.17/18.28	               ord_less_eq(fun(hoare_28830079triple(X3), bool)), X4), X5))
16.17/18.28	       | ~ hoare_992312373derivs(X3, X6, X5)
16.17/18.28	       | hoare_992312373derivs(X3, X6, X4)),
16.17/18.28	    inference('cnf', [status(esa)], [fact_1_weaken])).
16.17/18.28	tff('7', plain,
16.17/18.28	    ![X3 : $tType, X4 : fun(hoare_28830079triple(X3), bool), 
16.17/18.28	      X5 : fun(hoare_28830079triple(X3), bool), 
16.17/18.28	      X6 : fun(hoare_28830079triple(X3), bool)]:
16.17/18.28	      (~ pp(
16.17/18.28	           aa(fun(hoare_28830079triple(X3), bool), bool, 
16.17/18.28	             combc(fun(hoare_28830079triple(X3), bool), 
16.17/18.28	               fun(hoare_28830079triple(X3), bool), bool, 
16.17/18.28	               ord_less_eq(fun(hoare_28830079triple(X3), bool)), X5), X4))
16.17/18.28	       | ~ hoare_992312373derivs(X3, X6, X5)
16.17/18.28	       | hoare_992312373derivs(X3, X6, X4)),
16.17/18.28	    inference('demod', [status(thm)], ['6', '1'])).
16.17/18.28	tff('8', plain,
16.17/18.28	    ![X3 : $tType, X4 : fun(hoare_28830079triple(X3), bool), 
16.17/18.28	      X5 : fun(hoare_28830079triple(X3), bool), 
16.17/18.28	      X6 : fun(hoare_28830079triple(X3), bool)]:
16.17/18.28	      (~ pp(
16.17/18.28	           aa(fun(hoare_28830079triple(X3), bool), bool, 
16.17/18.28	             pow(hoare_28830079triple(X3), X5), X4))
16.17/18.28	       | ~ hoare_992312373derivs(X3, X6, X5)
16.17/18.28	       | hoare_992312373derivs(X3, X6, X4)),
16.17/18.28	    inference('demod', [status(thm)], ['7', '4'])).
16.17/18.28	tff('9', plain,
16.17/18.28	    ![X0 : fun(hoare_28830079triple(a), bool)]:
16.17/18.28	      (~ $true
16.17/18.28	       | hoare_992312373derivs(a, X0, tsa)
16.17/18.28	       | ~ hoare_992312373derivs(a, X0, ts)),
16.17/18.28	    inference('sup-', [status(thm)], ['5', '8'])).
16.17/18.28	tff('10', plain,
16.17/18.28	    ![X0 : fun(hoare_28830079triple(a), bool)]:
16.17/18.28	      (~ hoare_992312373derivs(a, X0, ts) | hoare_992312373derivs(a, X0, tsa)),
16.17/18.28	    inference('simplify', [status(thm)], ['9'])).
16.17/18.28	tff(conj_4, conjecture, (hoare_992312373derivs(a,ga,tsa))).
16.17/18.28	tff(zf_stmt_0, negated_conjecture, (~hoare_992312373derivs(a,ga,tsa))).
16.17/18.28	tff('11', plain, ~ hoare_992312373derivs(a, ga, tsa),
16.17/18.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.17/18.28	tff('12', plain, (~ $true | ~ hoare_992312373derivs(a, ga, ts)),
16.17/18.28	    inference('sup-', [status(thm)], ['10', '11'])).
16.17/18.28	tff(conj_3, axiom, (hoare_992312373derivs(a,ga,ts))).
16.17/18.28	tff('13', plain, hoare_992312373derivs(a, ga, ts),
16.17/18.28	    inference('cnf', [status(esa)], [conj_3])).
16.17/18.28	tff('14', plain, (~ $true | ~ $true),
16.17/18.28	    inference('demod', [status(thm)], ['12', '13'])).
16.17/18.28	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
16.17/18.28	
16.17/18.28	% SZS output end Refutation
16.17/18.28	EOF
