TSTP Solution File: COL012-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL012-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:47:29 EDT 2022
% Result : Unsatisfiable 0.60s 0.98s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 09:51:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.98 * |/ | \/ | *
% 0.60/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.98 * A. Jaeger and B. Loechner | | *
% 0.60/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 Goals:
% 0.60/0.98 ------
% 0.60/0.98
% 0.60/0.98 ( 1) true ?= false
% 0.60/0.98 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.60/0.98
% 0.60/0.98 Detected structure: Orkus
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.60/0.98 joined goal: 1 x1 ?= apply(combinator,x1) to false
% 0.60/0.98 goal joined
% 0.60/0.98 % SZS status Unsatisfiable
% 0.60/0.98 #START OF PROOF
% 0.60/0.98 % SZS output start CNFRefutation
% 0.60/0.98 cnf('0.1.0.0',axiom,
% 0.60/0.98 ( apply(X1,apply(apply(X2,X2),X1)) = apply(apply(u,X2),X1) ),
% 0.60/0.98 file('/tmp/WALDMEISTER_26199_n021')).
% 0.60/0.98 cnf('0.1.1.0',plain,
% 0.60/0.98 ( apply(X1,apply(apply(X2,X2),X1)) = apply(apply(u,X2),X1) ),
% 0.60/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/0.98 cnf('0.1.2.0',plain,
% 0.60/0.98 ( apply(X1,apply(apply(X2,X2),X1)) = apply(apply(u,X2),X1) ),
% 0.60/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/0.98 [u,rule_1]).
% 0.60/0.98 cnf('0.2.0.0',axiom,
% 0.60/0.98 ( eq(X1,X1) = true ),
% 0.60/0.98 file('/tmp/WALDMEISTER_26199_n021')).
% 0.60/0.98 cnf('0.2.1.0',plain,
% 0.60/0.98 ( eq(X1,X1) = true ),
% 0.60/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/0.98 cnf('0.2.2.0',plain,
% 0.60/0.98 ( eq(X1,X1) = true ),
% 0.60/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/0.98 [u,rule_2]).
% 0.60/0.98 cnf('0.3.0.0',axiom,
% 0.60/0.98 ( eq(X1,apply(combinator,X1)) = false ),
% 0.60/0.98 file('/tmp/WALDMEISTER_26199_n021')).
% 0.60/0.98 cnf('0.3.1.0',plain,
% 0.60/0.98 ( eq(X1,apply(combinator,X1)) = false ),
% 0.60/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/0.98 cnf('0.3.2.0',plain,
% 0.60/0.98 ( eq(X1,apply(combinator,X1)) = false ),
% 0.60/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/0.98 [u,rule_3]).
% 0.60/0.98 cnf('0.5.0.0',plain,
% 0.60/0.98 ( false = eq(apply(apply(X1,X1),combinator),apply(apply(u,X1),combinator)) ),
% 0.60/0.98 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.60/0.98 [pos('L.2','L')]).
% 0.60/0.98 cnf('0.5.1.0',plain,
% 0.60/0.98 ( false = eq(apply(apply(X1,X1),combinator),apply(apply(u,X1),combinator)) ),
% 0.60/0.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/0.98 [weight('<0,3,1,[1,0,0,2]>')]).
% 0.60/0.98 cnf('0.5.2.0',plain,
% 0.60/0.98 ( eq(apply(apply(X1,X1),combinator),apply(apply(u,X1),combinator)) = false ),
% 0.60/0.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/0.98 [x,rule_5]).
% 0.60/0.98 cnf('0.6.0.0',plain,
% 0.60/0.98 ( false = true ),
% 0.60/0.98 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.60/0.98 [pos('L','L')]).
% 0.60/0.98 cnf('0.6.1.0',plain,
% 0.60/0.98 ( false = true ),
% 0.60/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/0.98 [weight('<5,5,2,[1,0,0,0]>')]).
% 0.60/0.98 cnf('0.6.2.0',plain,
% 0.60/0.98 ( true = false ),
% 0.60/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/0.98 [x,rule_6]).
% 0.60/0.98 cnf('1.0.0.0',conjecture,
% 0.60/0.98 ( true = false ),
% 0.60/0.98 file('/tmp/WALDMEISTER_26199_n021',conjecture_1)).
% 0.60/0.98 cnf('1.0.0.1',plain,
% 0.60/0.98 ( false = false ),
% 0.60/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.60/0.98 [pos('L','L')]).
% 0.60/0.98 cnf('1.0.0.2',plain,
% 0.60/0.98 ( $true ),
% 0.60/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/0.98 [conjecture_1]).
% 0.60/0.98
% 0.60/0.98 Proved Goals:
% 0.60/0.98 No. 1: true ?= false, current false ?= false
% 0.60/0.98 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.60/0.98
% 0.60/0.98 1 goal was specified, which was proved.
% 0.60/0.98 % SZS output end CNFRefutation
% 0.60/0.98 #END OF PROOF
% 0.60/0.98
% 0.60/0.98 Problem WALDMEISTER_26199_n021
% 0.60/0.98 CPs.gen 14
% 0.60/0.98 CPs.reexp 0
% 0.60/0.98 Select 6
% 0.60/0.98 R 6
% 0.60/0.98 E 0
% 0.60/0.98 vsize 6.4M
% 0.60/0.98 rss 3.4M
% 0.60/0.98 process.time 0.002s
% 0.60/0.98 wallclock.time 0.002s
% 0.60/0.98 status S
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 Waldmeister states: Goal proved.
% 0.60/0.98 % SZS status Unsatisfiable
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