TSTP Solution File: LCL135-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL135-1 : 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 : Sun Jul 17 16:03:46 EDT 2022
% Result : Unsatisfiable 0.64s 1.03s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL135-1 : 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 : Sun Jul 3 00:50:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.64/1.03 ********************************************************************************
% 0.64/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.64/1.03 * |/ | \/ | *
% 0.64/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.64/1.03 * A. Jaeger and B. Loechner | | *
% 0.64/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.64/1.03 ********************************************************************************
% 0.64/1.03
% 0.64/1.03
% 0.64/1.03 Goals:
% 0.64/1.03 ------
% 0.64/1.03
% 0.64/1.03 ( 1) implies(x,implies(y,x)) ?=? truth
% 0.64/1.03
% 0.64/1.03 Detected structure: WajsbergAlgebra
% 0.64/1.03 ********************************************************************************
% 0.64/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.64/1.03 ********************************************************************************
% 0.64/1.03
% 0.64/1.03 joined goal: 1 implies(x,implies(y,x)) ?= truth to truth
% 0.64/1.03 goal joined
% 0.64/1.03 % SZS status Unsatisfiable
% 0.64/1.03 #START OF PROOF
% 0.64/1.03 % SZS output start CNFRefutation
% 0.64/1.03 cnf('0.1.0.0',axiom,
% 0.64/1.03 ( X1 = implies(truth,X1) ),
% 0.64/1.03 file('/tmp/WALDMEISTER_31470_n021')).
% 0.64/1.03 cnf('0.1.1.0',plain,
% 0.64/1.03 ( X1 = implies(truth,X1) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.03 cnf('0.1.2.0',plain,
% 0.64/1.03 ( implies(truth,X1) = X1 ),
% 0.64/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_1]).
% 0.64/1.03 cnf('0.2.0.0',axiom,
% 0.64/1.03 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.64/1.03 file('/tmp/WALDMEISTER_31470_n021')).
% 0.64/1.03 cnf('0.2.1.0',plain,
% 0.64/1.03 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.03 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.64/1.03 cnf('0.2.2.0',plain,
% 0.64/1.03 ( implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1) ),
% 0.64/1.03 inference(activate,[status(thm)],['0.2.1.0']),
% 0.64/1.03 [equation_1]).
% 0.64/1.03 cnf('0.3.0.0',axiom,
% 0.64/1.03 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.64/1.03 file('/tmp/WALDMEISTER_31470_n021')).
% 0.64/1.03 cnf('0.3.1.0',plain,
% 0.64/1.03 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.64/1.03 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.64/1.03 cnf('0.3.2.0',plain,
% 0.64/1.03 ( implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth ),
% 0.64/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.64/1.03 [u,rule_2]).
% 0.64/1.03 cnf('0.5.0.0',plain,
% 0.64/1.03 ( truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.1','L')]).
% 0.64/1.03 cnf('0.5.0.1',plain,
% 0.64/1.03 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('R.2.2','L')]).
% 0.64/1.03 cnf('0.5.1.0',plain,
% 0.64/1.03 ( truth = implies(X1,implies(implies(X1,X2),X2)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.64/1.03 [weight('<71,3,1,[1,0,0,1]>')]).
% 0.64/1.03 cnf('0.5.2.0',plain,
% 0.64/1.03 ( implies(X1,implies(implies(X1,X2),X2)) = truth ),
% 0.64/1.03 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_4]).
% 0.64/1.03 cnf('0.6.0.0',plain,
% 0.64/1.03 ( truth = implies(implies(truth,X1),X1) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L','L')]).
% 0.64/1.03 cnf('0.6.0.1',plain,
% 0.64/1.03 ( truth = implies(X1,X1) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('R.1','L')]).
% 0.64/1.03 cnf('0.6.1.0',plain,
% 0.64/1.03 ( truth = implies(X1,X1) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.64/1.03 [weight('<19,5,1,[1,0,0,0]>')]).
% 0.64/1.03 cnf('0.6.2.0',plain,
% 0.64/1.03 ( implies(X1,X1) = truth ),
% 0.64/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_5]).
% 0.64/1.03 cnf('0.10.0.0',plain,
% 0.64/1.03 ( truth = implies(X1,implies(implies(X2,X1),X1)) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2','L')]).
% 0.64/1.03 cnf('0.10.1.0',plain,
% 0.64/1.03 ( truth = implies(X1,implies(implies(X2,X1),X1)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.64/1.03 [weight('<71,5,2,[1,0,0,2]>')]).
% 0.64/1.03 cnf('0.10.2.0',plain,
% 0.64/1.03 ( implies(X1,implies(implies(X2,X1),X1)) = truth ),
% 0.64/1.03 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_9]).
% 0.64/1.03 cnf('0.11.0.0',plain,
% 0.64/1.03 ( truth = implies(X1,implies(X1,X1)) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2.1','L')]).
% 0.64/1.03 cnf('0.11.0.1',plain,
% 0.64/1.03 ( truth = implies(X1,truth) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.64/1.03 [pos('R.2','L')]).
% 0.64/1.03 cnf('0.11.1.0',plain,
% 0.64/1.03 ( truth = implies(X1,truth) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.64/1.03 [weight('<19,10,1,[1,0,0,3]>')]).
% 0.64/1.03 cnf('0.11.2.0',plain,
% 0.64/1.03 ( implies(X1,truth) = truth ),
% 0.64/1.03 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_10]).
% 0.64/1.03 cnf('0.12.0.0',plain,
% 0.64/1.03 ( truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.1','L')]).
% 0.64/1.03 cnf('0.12.0.1',plain,
% 0.64/1.03 ( truth = implies(implies(truth,X1),implies(X2,X1)) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('R','L')]).
% 0.64/1.03 cnf('0.12.0.2',plain,
% 0.64/1.03 ( truth = implies(X1,implies(X2,X1)) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.12.0.1','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('R.1','L')]).
% 0.64/1.03 cnf('0.12.1.0',plain,
% 0.64/1.03 ( truth = implies(X1,implies(X2,X1)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.12.0.2']),
% 0.64/1.03 [weight('<41,11,3,[0,0,0,1]>')]).
% 0.64/1.03 cnf('0.12.2.0',plain,
% 0.64/1.03 ( implies(X1,implies(X2,X1)) = truth ),
% 0.64/1.03 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_11]).
% 0.64/1.03 cnf('1.0.0.0',conjecture,
% 0.64/1.03 ( implies(x,implies(y,x)) = truth ),
% 0.64/1.03 file('/tmp/WALDMEISTER_31470_n021',conjecture_1)).
% 0.64/1.03 cnf('1.0.0.1',plain,
% 0.64/1.03 ( truth = truth ),
% 0.64/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.12.2.0',theory(equality)]),
% 0.64/1.03 [pos('L','L')]).
% 0.64/1.03 cnf('1.0.0.2',plain,
% 0.64/1.03 ( $true ),
% 0.64/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.64/1.03 [conjecture_1]).
% 0.64/1.03
% 0.64/1.03 Proved Goals:
% 0.64/1.03 No. 1: implies(x,implies(y,x)) ?= truth joined, current: truth = truth
% 0.64/1.03 1 goal was specified, which was proved.
% 0.64/1.03 % SZS output end CNFRefutation
% 0.64/1.03 #END OF PROOF
% 0.64/1.03
% 0.64/1.03 Problem WALDMEISTER_31470_n021
% 0.64/1.03 CPs.gen 95
% 0.64/1.03 CPs.reexp 0
% 0.64/1.03 Select 16
% 0.64/1.03 R 11
% 0.64/1.03 E 1
% 0.64/1.03 vsize 6.4M
% 0.64/1.03 rss 3.8M
% 0.64/1.03 process.time 0.002s
% 0.64/1.03 wallclock.time 0.002s
% 0.64/1.03 status S
% 0.64/1.03
% 0.64/1.03
% 0.64/1.03 Waldmeister states: Goal proved.
% 0.64/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------