TSTP Solution File: LCL132-1 by Waldmeister---710
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% File : Waldmeister---710
% Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 : Sun Jul 17 16:03:45 EDT 2022
% Result : Unsatisfiable 0.35s 0.74s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.07 % Command : woody %s
% 0.07/0.25 % Computer : n028.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 600
% 0.07/0.25 % DateTime : Mon Jul 4 06:34:04 EDT 2022
% 0.07/0.25 % CPUTime :
% 0.35/0.74 ********************************************************************************
% 0.35/0.74 * W A L D M E I S T E R \| \ / \|/ *
% 0.35/0.74 * |/ | \/ | *
% 0.35/0.74 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.35/0.74 * A. Jaeger and B. Loechner | | *
% 0.35/0.74 * <waldmeister@informatik.uni-kl.de> | *
% 0.35/0.74 ********************************************************************************
% 0.35/0.74
% 0.35/0.74
% 0.35/0.74 Goals:
% 0.35/0.74 ------
% 0.35/0.74
% 0.35/0.74 ( 1) implies(x,x) ?=? truth
% 0.35/0.74
% 0.35/0.74 Detected structure: WajsbergAlgebra
% 0.35/0.74 ********************************************************************************
% 0.35/0.74 ****************************** COMPLETION - PROOF ******************************
% 0.35/0.74 ********************************************************************************
% 0.35/0.74
% 0.35/0.74 joined goal: 1 implies(x,x) ?= truth to truth
% 0.35/0.74 goal joined
% 0.35/0.74 % SZS status Unsatisfiable
% 0.35/0.74 #START OF PROOF
% 0.35/0.74 % SZS output start CNFRefutation
% 0.35/0.74 cnf('0.1.0.0',axiom,
% 0.35/0.74 ( X1 = implies(truth,X1) ),
% 0.35/0.74 file('/tmp/WALDMEISTER_6252_n028')).
% 0.35/0.74 cnf('0.1.1.0',plain,
% 0.35/0.74 ( X1 = implies(truth,X1) ),
% 0.35/0.74 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.35/0.74 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.35/0.74 cnf('0.1.2.0',plain,
% 0.35/0.74 ( implies(truth,X1) = X1 ),
% 0.35/0.74 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.35/0.74 [x,rule_1]).
% 0.35/0.74 cnf('0.3.0.0',axiom,
% 0.35/0.74 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.35/0.74 file('/tmp/WALDMEISTER_6252_n028')).
% 0.35/0.74 cnf('0.3.1.0',plain,
% 0.35/0.74 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.35/0.74 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.35/0.74 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.35/0.74 cnf('0.3.2.0',plain,
% 0.35/0.74 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.35/0.74 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.35/0.74 [u,rule_2]).
% 0.35/0.74 cnf('0.5.0.0',plain,
% 0.35/0.74 ( truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))) ),
% 0.35/0.74 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.35/0.74 [pos('L.1','L')]).
% 0.35/0.74 cnf('0.5.0.1',plain,
% 0.35/0.74 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.35/0.74 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.35/0.74 [pos('R.2.2','L')]).
% 0.35/0.74 cnf('0.5.1.0',plain,
% 0.35/0.74 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.35/0.74 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.35/0.74 [weight('<71,3,1,[1,0,0,1]>')]).
% 0.35/0.74 cnf('0.5.2.0',plain,
% 0.35/0.74 ( implies(X1,implies(implies(X1,X2),X2)) = truth ),
% 0.35/0.74 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.35/0.74 [x,rule_4]).
% 0.35/0.74 cnf('0.6.0.0',plain,
% 0.35/0.74 ( truth = implies(implies(truth,X1),X1) ),
% 0.35/0.74 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.35/0.74 [pos('L','L')]).
% 0.35/0.74 cnf('0.6.0.1',plain,
% 0.35/0.74 ( truth = implies(X1,X1) ),
% 0.35/0.74 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.35/0.74 [pos('R.1','L')]).
% 0.35/0.74 cnf('0.6.1.0',plain,
% 0.35/0.74 ( truth = implies(X1,X1) ),
% 0.35/0.74 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.35/0.74 [weight('<19,5,1,[1,0,0,0]>')]).
% 0.35/0.74 cnf('0.6.2.0',plain,
% 0.35/0.74 ( implies(X1,X1) = truth ),
% 0.35/0.74 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.35/0.74 [x,rule_5]).
% 0.35/0.74 cnf('1.0.0.0',conjecture,
% 0.35/0.74 ( implies(x,x) = truth ),
% 0.35/0.74 file('/tmp/WALDMEISTER_6252_n028',conjecture_1)).
% 0.35/0.74 cnf('1.0.0.1',plain,
% 0.35/0.74 ( truth = truth ),
% 0.35/0.74 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.35/0.74 [pos('L','L')]).
% 0.35/0.74 cnf('1.0.0.2',plain,
% 0.35/0.74 ( $true ),
% 0.35/0.74 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.35/0.74 [conjecture_1]).
% 0.35/0.74
% 0.35/0.74 Proved Goals:
% 0.35/0.74 No. 1: implies(x,x) ?= truth joined, current: truth = truth
% 0.35/0.74 1 goal was specified, which was proved.
% 0.35/0.74 % SZS output end CNFRefutation
% 0.35/0.74 #END OF PROOF
% 0.35/0.74
% 0.35/0.74 Problem WALDMEISTER_6252_n028
% 0.35/0.74 CPs.gen 34
% 0.35/0.74 CPs.reexp 0
% 0.35/0.74 Select 6
% 0.35/0.74 R 5
% 0.35/0.74 E 1
% 0.35/0.74 vsize 6.5M
% 0.35/0.74 rss 3.7M
% 0.35/0.74 process.time 0.002s
% 0.35/0.74 wallclock.time 0.002s
% 0.35/0.74 status S
% 0.35/0.74
% 0.35/0.74
% 0.35/0.74 Waldmeister states: Goal proved.
% 0.35/0.74 % SZS status Unsatisfiable
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