0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
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-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.01/2.07	% Computer   : n077.star.cs.uiowa.edu
0.01/2.07	% Model      : x86_64 x86_64
0.01/2.07	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.01/2.07	% Memory     : 32218.625MB
0.01/2.07	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.01/2.07	% CPULimit   : 300
0.01/2.07	% DateTime   : Fri Feb  2 09:59:50 CST 2018
21.58/23.68	% done 1460 iterations in 21.605s
21.58/23.68	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
21.58/23.68	% SZS output start Refutation
21.58/23.68	tff(conj_1, axiom,
21.58/23.68	  (pp(aa(fun(hoare_28830079triple(a),bool),bool,
21.58/23.68	         aa(fun(hoare_28830079triple(a),bool),
21.58/23.68	            fun(fun(hoare_28830079triple(a),bool),bool),
21.58/23.68	            ord_less_eq(fun(hoare_28830079triple(a),bool)),tsa),
21.58/23.68	         ts)))).
21.58/23.68	tff('0', plain,
21.58/23.68	    pp(
21.58/23.68	      aa(fun(hoare_28830079triple(a), bool), bool, 
21.58/23.68	        aa(fun(hoare_28830079triple(a), bool), 
21.58/23.68	          fun(fun(hoare_28830079triple(a), bool), bool), 
21.58/23.68	          ord_less_eq(fun(hoare_28830079triple(a), bool)), tsa), ts)),
21.58/23.68	    inference('cnf', [status(esa)], [conj_1])).
21.58/23.68	tff(help_COMBC_1_1_U, axiom,
21.58/23.68	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
21.58/23.68	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
21.58/23.68	tff('1', plain,
21.58/23.68	    ![X400 : $tType, X401 : $tType, X402 : $tType, 
21.58/23.68	      X403 : fun(X402, fun(X400, X401)), X404 : X402, X405 : X400]:
21.58/23.68	      aa(X402, X401, combc(X402, X400, X401, X403, X405), X404)
21.58/23.68	       = aa(X400, X401, aa(X402, fun(X400, X401), X403, X404), X405),
21.58/23.68	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
21.58/23.68	tff(fact_58_Pow__def, axiom,
21.58/23.68	  (![B:$tType,A1:fun(B,bool)]:
21.58/23.68	     (pow(B,A1) =
21.58/23.68	      collect(fun(B,bool),
21.58/23.68	              combc(fun(B,bool),fun(B,bool),bool,ord_less_eq(fun(B,bool)),A1))))).
21.58/23.68	tff('2', plain,
21.58/23.68	    ![X238 : $tType, X239 : fun(X238, bool)]:
21.58/23.68	      pow(X238, X239)
21.58/23.68	       = collect(fun(X238, bool), 
21.58/23.68	           combc(fun(X238, bool), fun(X238, bool), bool, 
21.58/23.68	             ord_less_eq(fun(X238, bool)), X239)),
21.58/23.68	    inference('cnf', [status(esa)], [fact_58_Pow__def])).
21.58/23.68	tff(fact_77_Collect__def, axiom,
21.58/23.68	  (![B:$tType,P1:fun(B,bool)]: (collect(B,P1) = P1))).
21.58/23.68	tff('3', plain,
21.58/23.68	    ![X309 : $tType, X310 : fun(X309, bool)]: collect(X309, X310) = X310,
21.58/23.68	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
21.58/23.68	tff('4', plain,
21.58/23.68	    ![X238 : $tType, X239 : fun(X238, bool)]:
21.58/23.68	      pow(X238, X239)
21.58/23.68	       = combc(fun(X238, bool), fun(X238, bool), bool, 
21.58/23.68	           ord_less_eq(fun(X238, bool)), X239),
21.58/23.68	    inference('demod', [status(thm)], ['2', '3'])).
21.58/23.68	tff('5', plain,
21.58/23.68	    pp(
21.58/23.68	      aa(fun(hoare_28830079triple(a), bool), bool, 
21.58/23.68	        pow(hoare_28830079triple(a), ts), tsa)),
21.58/23.68	    inference('demod', [status(thm)], ['0', '1', '4'])).
21.58/23.68	tff(fact_1_weaken, axiom,
21.58/23.68	  (![B:$tType,Tsa:fun(hoare_28830079triple(B),bool),
21.58/23.68	     Ts:fun(hoare_28830079triple(B),bool),
21.58/23.68	     G1:fun(hoare_28830079triple(B),bool)]:
21.58/23.68	     (hoare_992312373derivs(B,G1,Ts) =>
21.58/23.68	      (pp(aa(fun(hoare_28830079triple(B),bool),bool,
21.58/23.68	             aa(fun(hoare_28830079triple(B),bool),
21.58/23.68	                fun(fun(hoare_28830079triple(B),bool),bool),
21.58/23.68	                ord_less_eq(fun(hoare_28830079triple(B),bool)),Tsa),
21.58/23.68	             Ts)) =>
21.58/23.68	       hoare_992312373derivs(B,G1,Tsa))))).
21.58/23.68	tff('6', plain,
21.58/23.68	    ![X3 : $tType, X4 : fun(hoare_28830079triple(X3), bool), 
21.58/23.68	      X5 : fun(hoare_28830079triple(X3), bool), 
21.58/23.68	      X6 : fun(hoare_28830079triple(X3), bool)]:
21.58/23.68	      (~ pp(
21.58/23.68	           aa(fun(hoare_28830079triple(X3), bool), bool, 
21.58/23.68	             aa(fun(hoare_28830079triple(X3), bool), 
21.58/23.68	               fun(fun(hoare_28830079triple(X3), bool), bool), 
21.58/23.68	               ord_less_eq(fun(hoare_28830079triple(X3), bool)), X4), X5))
21.58/23.68	       | ~ hoare_992312373derivs(X3, X6, X5)
21.58/23.68	       | hoare_992312373derivs(X3, X6, X4)),
21.58/23.68	    inference('cnf', [status(esa)], [fact_1_weaken])).
21.58/23.68	tff('7', plain,
21.58/23.68	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
21.58/23.68	      X2 : fun(hoare_28830079triple(X0), bool), 
21.58/23.68	      X3 : fun(hoare_28830079triple(X0), bool)]:
21.58/23.68	      (~ pp(
21.58/23.68	           aa(fun(hoare_28830079triple(X0), bool), bool, 
21.58/23.68	             combc(fun(hoare_28830079triple(X0), bool), 
21.58/23.68	               fun(hoare_28830079triple(X0), bool), bool, 
21.58/23.68	               ord_less_eq(fun(hoare_28830079triple(X0), bool)), X2), X1))
21.58/23.68	       | hoare_992312373derivs(X0, X3, X1)
21.58/23.68	       | ~ hoare_992312373derivs(X0, X3, X2)),
21.58/23.68	    inference('sup-', [status(thm)], ['1', '6'])).
21.58/23.68	tff('8', plain,
21.58/23.68	    ![X0 : $tType, X1 : fun(hoare_28830079triple(X0), bool), 
21.58/23.68	      X2 : fun(hoare_28830079triple(X0), bool), 
21.58/23.68	      X3 : fun(hoare_28830079triple(X0), bool)]:
21.58/23.68	      (~ pp(
21.58/23.68	           aa(fun(hoare_28830079triple(X0), bool), bool, 
21.58/23.68	             pow(hoare_28830079triple(X0), X2), X1))
21.58/23.68	       | hoare_992312373derivs(X0, X3, X1)
21.58/23.68	       | ~ hoare_992312373derivs(X0, X3, X2)),
21.58/23.68	    inference('demod', [status(thm)], ['7', '4'])).
21.58/23.68	tff('9', plain,
21.58/23.68	    ![X0 : fun(hoare_28830079triple(a), bool)]:
21.58/23.68	      (~ $true
21.58/23.68	       | ~ hoare_992312373derivs(a, X0, ts)
21.58/23.68	       | hoare_992312373derivs(a, X0, tsa)),
21.58/23.68	    inference('sup-', [status(thm)], ['5', '8'])).
21.58/23.68	tff('10', plain,
21.58/23.68	    ![X0 : fun(hoare_28830079triple(a), bool)]:
21.58/23.68	      (hoare_992312373derivs(a, X0, tsa) | ~ hoare_992312373derivs(a, X0, ts)),
21.58/23.68	    inference('simplify', [status(thm)], ['9'])).
21.58/23.68	tff(conj_4, conjecture, (hoare_992312373derivs(a,ga,tsa))).
21.58/23.68	tff(zf_stmt_0, negated_conjecture, (~hoare_992312373derivs(a,ga,tsa))).
21.58/23.68	tff('11', plain, ~ hoare_992312373derivs(a, ga, tsa),
21.58/23.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
21.58/23.68	tff('12', plain, (~ $true | ~ hoare_992312373derivs(a, ga, ts)),
21.58/23.68	    inference('sup-', [status(thm)], ['10', '11'])).
21.58/23.68	tff(conj_3, axiom, (hoare_992312373derivs(a,ga,ts))).
21.58/23.68	tff('13', plain, hoare_992312373derivs(a, ga, ts),
21.58/23.68	    inference('cnf', [status(esa)], [conj_3])).
21.58/23.68	tff('14', plain, (~ $true | ~ $true),
21.58/23.68	    inference('demod', [status(thm)], ['12', '13'])).
21.58/23.68	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
21.58/23.68	
21.58/23.68	% SZS output end Refutation
21.58/23.69	EOF
