TSTP Solution File: LCL133-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 16:03:46 EDT 2022
% Result : Unsatisfiable 0.49s 0.89s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.11 % Command : woody %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 4 11:22:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.49/0.89 ********************************************************************************
% 0.49/0.89 * W A L D M E I S T E R \| \ / \|/ *
% 0.49/0.89 * |/ | \/ | *
% 0.49/0.89 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.49/0.89 * A. Jaeger and B. Loechner | | *
% 0.49/0.89 * <waldmeister@informatik.uni-kl.de> | *
% 0.49/0.89 ********************************************************************************
% 0.49/0.89
% 0.49/0.89
% 0.49/0.89 Goals:
% 0.49/0.89 ------
% 0.49/0.89
% 0.49/0.89 ( 1) x ?=? y
% 0.49/0.89
% 0.49/0.89 Detected structure: WajsbergAlgebra
% 0.49/0.89 ********************************************************************************
% 0.49/0.89 ****************************** COMPLETION - PROOF ******************************
% 0.49/0.89 ********************************************************************************
% 0.49/0.89
% 0.49/0.89 joined goal: 1 x ?= y to truth
% 0.49/0.89 goal joined
% 0.49/0.89 % SZS status Unsatisfiable
% 0.49/0.89 #START OF PROOF
% 0.49/0.89 % SZS output start CNFRefutation
% 0.49/0.89 cnf('0.1.0.0',axiom,
% 0.49/0.89 ( X1 = implies(truth,X1) ),
% 0.49/0.89 file('/tmp/WALDMEISTER_2518_n008')).
% 0.49/0.89 cnf('0.1.1.0',plain,
% 0.49/0.89 ( X1 = implies(truth,X1) ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.49/0.89 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.49/0.89 cnf('0.1.2.0',plain,
% 0.49/0.89 ( implies(truth,X1) = X1 ),
% 0.49/0.89 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.49/0.89 [x,rule_1]).
% 0.49/0.89 cnf('0.2.0.0',axiom,
% 0.49/0.89 ( implies(X1,X2) = implies(X2,X1) ),
% 0.49/0.89 file('/tmp/WALDMEISTER_2518_n008')).
% 0.49/0.89 cnf('0.2.1.0',plain,
% 0.49/0.89 ( implies(X1,X2) = implies(X2,X1) ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.49/0.89 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.49/0.89 cnf('0.2.2.0',plain,
% 0.49/0.89 ( implies(X1,X2) = implies(X2,X1) ),
% 0.49/0.89 inference(activate,[status(thm)],['0.2.1.0']),
% 0.49/0.89 [equation_1]).
% 0.49/0.89 cnf('0.3.0.0',axiom,
% 0.49/0.89 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.49/0.89 file('/tmp/WALDMEISTER_2518_n008')).
% 0.49/0.89 cnf('0.3.1.0',plain,
% 0.49/0.89 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.49/0.89 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.49/0.89 cnf('0.3.1.1',plain,
% 0.49/0.89 ( implies(X2,implies(X1,X2)) = implies(implies(X2,X1),X1) ),
% 0.49/0.89 inference(reduction,[status(thm)],['0.3.1.0','0.2.2.0',theory(equality)]),
% 0.49/0.89 [pos('L','L')]).
% 0.49/0.89 cnf('0.3.1.2',plain,
% 0.49/0.89 ( implies(X2,implies(X1,X2)) = implies(X1,implies(X2,X1)) ),
% 0.49/0.89 inference(reduction,[status(thm)],['0.3.1.1','0.2.2.0',theory(equality)]),
% 0.49/0.89 [pos('R','L')]).
% 0.49/0.89 cnf('0.3.2.0',plain,
% 0.49/0.89 ( implies(X1,implies(X2,X1)) = implies(X2,implies(X1,X2)) ),
% 0.49/0.89 inference(activate,[status(thm)],['0.3.1.2']),
% 0.49/0.89 [equation_2]).
% 0.49/0.89 cnf('0.4.0.0',axiom,
% 0.49/0.89 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.49/0.89 file('/tmp/WALDMEISTER_2518_n008')).
% 0.49/0.89 cnf('0.4.1.0',plain,
% 0.49/0.89 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.49/0.89 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.49/0.89 cnf('0.4.2.0',plain,
% 0.49/0.89 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.49/0.89 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.49/0.89 [u,rule_2]).
% 0.49/0.89 cnf('0.6.0.0',plain,
% 0.49/0.89 ( implies(X1,truth) = X1 ),
% 0.49/0.89 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.49/0.89 [pos('L','L')]).
% 0.49/0.89 cnf('0.6.1.0',plain,
% 0.49/0.89 ( implies(X1,truth) = X1 ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.49/0.89 [weight('<19,2,1,[1,0,0,0]>')]).
% 0.49/0.89 cnf('0.6.2.0',plain,
% 0.49/0.89 ( implies(X1,truth) = X1 ),
% 0.49/0.89 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.49/0.89 [u,rule_4]).
% 0.49/0.89 cnf('0.7.0.0',plain,
% 0.49/0.89 ( implies(X1,implies(truth,X1)) = implies(truth,X1) ),
% 0.49/0.89 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.49/0.89 [pos('L.2','L')]).
% 0.49/0.89 cnf('0.7.0.1',plain,
% 0.49/0.89 ( implies(X1,X1) = implies(truth,X1) ),
% 0.49/0.89 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.49/0.89 [pos('L.2','L')]).
% 0.49/0.89 cnf('0.7.0.2',plain,
% 0.49/0.89 ( implies(X1,X1) = X1 ),
% 0.49/0.89 inference(reduction,[status(thm)],['0.7.0.1','0.1.2.0',theory(equality)]),
% 0.49/0.89 [pos('R','L')]).
% 0.49/0.89 cnf('0.7.1.0',plain,
% 0.49/0.89 ( implies(X1,X1) = X1 ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.7.0.2']),
% 0.49/0.89 [weight('<19,6,3,[0,0,0,2]>')]).
% 0.49/0.89 cnf('0.7.2.0',plain,
% 0.49/0.89 ( implies(X1,X1) = X1 ),
% 0.49/0.89 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.49/0.89 [u,rule_5]).
% 0.49/0.89 cnf('0.10.0.0',plain,
% 0.49/0.89 ( truth = implies(X1,implies(implies(X1,X2),implies(X1,X2))) ),
% 0.49/0.89 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 0.49/0.89 [pos('L.1','L')]).
% 0.49/0.89 cnf('0.10.0.1',plain,
% 0.49/0.89 ( truth = implies(X1,implies(X1,X2)) ),
% 0.49/0.89 inference(reduction,[status(thm)],['0.10.0.0','0.7.2.0',theory(equality)]),
% 0.49/0.89 [pos('R.2','L')]).
% 0.49/0.89 cnf('0.10.1.0',plain,
% 0.49/0.89 ( truth = implies(X1,implies(X1,X2)) ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.49/0.89 [weight('<41,7,4,[0,0,0,1]>')]).
% 0.49/0.89 cnf('0.10.2.0',plain,
% 0.49/0.89 ( implies(X1,implies(X1,X2)) = truth ),
% 0.49/0.89 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.49/0.89 [x,rule_8]).
% 0.49/0.89 cnf('0.11.0.0',plain,
% 0.49/0.89 ( truth = implies(truth,X1) ),
% 0.49/0.89 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.49/0.89 [pos('L','L')]).
% 0.49/0.89 cnf('0.11.0.1',plain,
% 0.49/0.89 ( truth = X1 ),
% 0.49/0.89 inference(reduction,[status(thm)],['0.11.0.0','0.1.2.0',theory(equality)]),
% 0.49/0.89 [pos('R','L')]).
% 0.49/0.89 cnf('0.11.1.0',plain,
% 0.49/0.89 ( truth = X1 ),
% 0.49/0.89 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.49/0.89 [weight('<8,10,1,[1,0,0,0]>')]).
% 0.49/0.89 cnf('0.11.2.0',plain,
% 0.49/0.89 ( truth = X1 ),
% 0.49/0.89 inference(activate,[status(thm)],['0.11.1.0']),
% 0.49/0.89 [equation_3]).
% 0.49/0.89 cnf('0.11.2.1',plain,
% 0.49/0.89 ( truth = y ),
% 0.49/0.89 inference(instr,[status(thm)],['0.11.2.0',theory(equality)])).
% 0.49/0.89 cnf('1.0.0.0',conjecture,
% 0.49/0.89 ( x = y ),
% 0.49/0.89 file('/tmp/WALDMEISTER_2518_n008',conjecture_1)).
% 0.49/0.89 cnf('1.0.0.1',plain,
% 0.49/0.89 ( truth = y ),
% 0.49/0.89 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 0.49/0.89 [pos('L','R')]).
% 0.49/0.89 cnf('1.0.0.2',plain,
% 0.49/0.89 ( truth = truth ),
% 0.49/0.89 inference(reduction,[status(thm)],['1.0.0.1','0.11.2.0',theory(equality)]),
% 0.49/0.89 [pos('R','R')]).
% 0.49/0.89 cnf('1.0.0.3',plain,
% 0.49/0.89 ( $true ),
% 0.49/0.89 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.49/0.89 [conjecture_1]).
% 0.49/0.89
% 0.49/0.89 Proved Goals:
% 0.49/0.89 No. 1: x ?= y joined, current: truth = truth
% 0.49/0.89 1 goal was specified, which was proved.
% 0.49/0.89 % SZS output end CNFRefutation
% 0.49/0.89 #END OF PROOF
% 0.49/0.89
% 0.49/0.89 Problem WALDMEISTER_2518_n008
% 0.49/0.89 CPs.gen 79
% 0.49/0.89 CPs.reexp 0
% 0.49/0.89 Select 13
% 0.49/0.89 R 8
% 0.49/0.89 E 3
% 0.49/0.89 vsize 6.4M
% 0.49/0.89 rss 3.8M
% 0.49/0.89 process.time 0.002s
% 0.49/0.89 wallclock.time 0.002s
% 0.49/0.89 status S
% 0.49/0.89
% 0.49/0.89
% 0.49/0.89 Waldmeister states: Goal proved.
% 0.49/0.89 % SZS status Unsatisfiable
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