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_ext
0.00/0.00	% Ordering    : kbo
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.02/2.34	% Computer   : n133.star.cs.uiowa.edu
0.02/2.34	% Model      : x86_64 x86_64
0.02/2.34	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/2.34	% Memory     : 32218.625MB
0.02/2.34	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/2.34	% CPULimit   : 300
0.02/2.34	% DateTime   : Fri Feb  2 09:59:51 CST 2018
21.54/23.86	% done 1444 iterations in 21.517s
21.54/23.86	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
21.54/23.86	% SZS output start Refutation
21.54/23.87	tff(conj_1, axiom,
21.54/23.87	  (pp(aa(fun(hoare_28830079triple(a),bool),bool,
21.54/23.87	         aa(fun(hoare_28830079triple(a),bool),
21.54/23.87	            fun(fun(hoare_28830079triple(a),bool),bool),
21.54/23.87	            ord_less_eq(fun(hoare_28830079triple(a),bool)),tsa),
21.54/23.87	         ts)))).
21.54/23.87	tff('0', plain,
21.54/23.87	    pp(
21.54/23.87	      aa(fun(hoare_28830079triple(a), bool), bool, 
21.54/23.87	        aa(fun(hoare_28830079triple(a), bool), 
21.54/23.87	          fun(fun(hoare_28830079triple(a), bool), bool), 
21.54/23.87	          ord_less_eq(fun(hoare_28830079triple(a), bool)), tsa), ts)),
21.54/23.87	    inference('cnf', [status(esa)], [conj_1])).
21.54/23.87	tff(help_COMBC_1_1_U, axiom,
21.54/23.87	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
21.54/23.87	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
21.54/23.87	tff('1', plain,
21.54/23.87	    ![X400 : $tType, X401 : $tType, X402 : $tType, 
21.54/23.87	      X403 : fun(X402, fun(X400, X401)), X404 : X402, X405 : X400]:
21.54/23.87	      aa(X402, X401, combc(X402, X400, X401, X403, X405), X404)
21.54/23.87	       = aa(X400, X401, aa(X402, fun(X400, X401), X403, X404), X405),
21.54/23.87	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
21.54/23.87	tff(fact_58_Pow__def, axiom,
21.54/23.87	  (![B:$tType,A1:fun(B,bool)]:
21.54/23.87	     (pow(B,A1) =
21.54/23.87	      collect(fun(B,bool),
21.54/23.87	              combc(fun(B,bool),fun(B,bool),bool,ord_less_eq(fun(B,bool)),A1))))).
21.54/23.87	tff('2', plain,
21.54/23.87	    ![X238 : $tType, X239 : fun(X238, bool)]:
21.54/23.87	      pow(X238, X239)
21.54/23.87	       = collect(fun(X238, bool), 
21.54/23.87	           combc(fun(X238, bool), fun(X238, bool), bool, 
21.54/23.87	             ord_less_eq(fun(X238, bool)), X239)),
21.54/23.87	    inference('cnf', [status(esa)], [fact_58_Pow__def])).
21.54/23.87	tff(fact_77_Collect__def, axiom,
21.54/23.87	  (![B:$tType,P1:fun(B,bool)]: (collect(B,P1) = P1))).
21.54/23.87	tff('3', plain,
21.54/23.87	    ![X309 : $tType, X310 : fun(X309, bool)]: collect(X309, X310) = X310,
21.54/23.87	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
21.54/23.87	tff('4', plain,
21.54/23.87	    ![X238 : $tType, X239 : fun(X238, bool)]:
21.54/23.87	      pow(X238, X239)
21.54/23.87	       = combc(fun(X238, bool), fun(X238, bool), bool, 
21.54/23.87	           ord_less_eq(fun(X238, bool)), X239),
21.54/23.87	    inference('demod', [status(thm)], ['2', '3'])).
21.54/23.87	tff('5', plain,
21.54/23.87	    pp(
21.54/23.87	      aa(fun(hoare_28830079triple(a), bool), bool, 
21.54/23.87	        pow(hoare_28830079triple(a), ts), tsa)),
21.54/23.87	    inference('demod', [status(thm)], ['0', '1', '4'])).
21.54/23.87	tff(fact_0_asm, axiom,
21.54/23.87	  (![B:$tType,G1:fun(hoare_28830079triple(B),bool),
21.54/23.87	     Tsa:fun(hoare_28830079triple(B),bool)]:
21.54/23.87	     (pp(aa(fun(hoare_28830079triple(B),bool),bool,
21.54/23.87	            aa(fun(hoare_28830079triple(B),bool),
21.54/23.87	               fun(fun(hoare_28830079triple(B),bool),bool),
21.54/23.87	               ord_less_eq(fun(hoare_28830079triple(B),bool)),Tsa),
21.54/23.87	            G1)) =>
21.54/23.87	      hoare_992312373derivs(B,G1,Tsa)))).
21.54/23.87	tff('6', plain,
21.54/23.87	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
21.54/23.87	      X2 : fun(hoare_28830079triple(X0), bool)]:
21.54/23.87	      (hoare_992312373derivs(X0, X1, X2)
21.54/23.87	       | ~ pp(
21.54/23.87	             aa(fun(hoare_28830079triple(X0), bool), bool, 
21.54/23.87	               aa(fun(hoare_28830079triple(X0), bool), 
21.54/23.87	                 fun(fun(hoare_28830079triple(X0), bool), bool), 
21.54/23.87	                 ord_less_eq(fun(hoare_28830079triple(X0), bool)), X2), X1))),
21.54/23.87	    inference('cnf', [status(esa)], [fact_0_asm])).
21.54/23.87	tff('7', plain,
21.54/23.87	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
21.54/23.87	      X2 : fun(hoare_28830079triple(X0), bool)]:
21.54/23.87	      (hoare_992312373derivs(X0, X1, X2)
21.54/23.87	       | ~ pp(
21.54/23.87	             aa(fun(hoare_28830079triple(X0), bool), bool, 
21.54/23.87	               combc(fun(hoare_28830079triple(X0), bool), 
21.54/23.87	                 fun(hoare_28830079triple(X0), bool), bool, 
21.54/23.87	                 ord_less_eq(fun(hoare_28830079triple(X0), bool)), X1), X2))),
21.54/23.87	    inference('demod', [status(thm)], ['6', '1'])).
21.54/23.87	tff('8', plain,
21.54/23.87	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
21.54/23.87	      X2 : fun(hoare_28830079triple(X0), bool)]:
21.54/23.87	      (hoare_992312373derivs(X0, X1, X2)
21.54/23.87	       | ~ pp(
21.54/23.87	             aa(fun(hoare_28830079triple(X0), bool), bool, 
21.54/23.87	               pow(hoare_28830079triple(X0), X1), X2))),
21.54/23.87	    inference('demod', [status(thm)], ['7', '4'])).
21.54/23.87	tff('9', plain, (~ $true | hoare_992312373derivs(a, ts, tsa)),
21.54/23.87	    inference('sup-', [status(thm)], ['5', '8'])).
21.54/23.87	tff('10', plain, hoare_992312373derivs(a, ts, tsa),
21.54/23.87	    inference('simplify', [status(thm)], ['9'])).
21.54/23.87	tff(fact_2_cut, axiom,
21.54/23.87	  (![B:$tType,G1:fun(hoare_28830079triple(B),bool),
21.54/23.87	     Tsa:fun(hoare_28830079triple(B),bool),
21.54/23.87	     G_a:fun(hoare_28830079triple(B),bool)]:
21.54/23.87	     (hoare_992312373derivs(B,G_a,Tsa) =>
21.54/23.87	      (hoare_992312373derivs(B,G1,G_a) => hoare_992312373derivs(B,G1,Tsa))))).
21.54/23.87	tff('11', plain,
21.54/23.87	    ![X7 : $tType, X8 : fun(hoare_28830079triple(X7), bool), 
21.54/23.87	      X9 : fun(hoare_28830079triple(X7), bool), 
21.54/23.87	      X10 : fun(hoare_28830079triple(X7), bool)]:
21.54/23.87	      (hoare_992312373derivs(X7, X8, X9)
21.54/23.87	       | ~ hoare_992312373derivs(X7, X10, X9)
21.54/23.87	       | ~ hoare_992312373derivs(X7, X8, X10)),
21.54/23.87	    inference('cnf', [status(esa)], [fact_2_cut])).
21.54/23.87	tff('12', plain,
21.54/23.87	    ![X0 : fun(hoare_28830079triple(a), bool)]:
21.54/23.87	      (~ $true
21.54/23.87	       | ~ hoare_992312373derivs(a, X0, ts)
21.54/23.87	       | hoare_992312373derivs(a, X0, tsa)),
21.54/23.87	    inference('sup-', [status(thm)], ['10', '11'])).
21.54/23.87	tff('13', plain,
21.54/23.87	    ![X0 : fun(hoare_28830079triple(a), bool)]:
21.54/23.87	      (hoare_992312373derivs(a, X0, tsa) | ~ hoare_992312373derivs(a, X0, ts)),
21.54/23.87	    inference('simplify', [status(thm)], ['12'])).
21.54/23.87	tff(conj_4, conjecture, (hoare_992312373derivs(a,ga,tsa))).
21.54/23.87	tff(zf_stmt_0, negated_conjecture, (~hoare_992312373derivs(a,ga,tsa))).
21.54/23.87	tff('14', plain, ~ hoare_992312373derivs(a, ga, tsa),
21.54/23.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
21.54/23.87	tff('15', plain, (~ $true | ~ hoare_992312373derivs(a, ga, ts)),
21.54/23.87	    inference('sup-', [status(thm)], ['13', '14'])).
21.54/23.87	tff(conj_3, axiom, (hoare_992312373derivs(a,ga,ts))).
21.54/23.87	tff('16', plain, hoare_992312373derivs(a, ga, ts),
21.54/23.87	    inference('cnf', [status(esa)], [conj_3])).
21.54/23.87	tff('17', plain, (~ $true | ~ $true),
21.54/23.87	    inference('demod', [status(thm)], ['15', '16'])).
21.54/23.87	tff('18', plain, $false, inference('simplify', [status(thm)], ['17'])).
21.54/23.87	
21.54/23.87	% SZS output end Refutation
21.54/23.87	EOF
