TSTP Solution File: ROB013-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ROB013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 : Mon Jul 18 20:57:15 EDT 2022
% Result : Unsatisfiable 0.56s 0.97s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ROB013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 13:42:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.97 * |/ | \/ | *
% 0.56/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.97 * A. Jaeger and B. Loechner | | *
% 0.56/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Goals:
% 0.56/0.97 ------
% 0.56/0.97
% 0.56/0.97 ( 1) negate(add(c,negate(add(negate(b),a)))) ?=? a
% 0.56/0.97
% 0.56/0.97 Detected structure: RobbinsAlgebra
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97 joined goal: 1 negate(add(c,negate(add(negate(b),a)))) ?= a to a
% 0.56/0.97 goal joined
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97 #START OF PROOF
% 0.56/0.97 % SZS output start CNFRefutation
% 0.56/0.97 cnf('0.1.0.0',axiom,
% 0.56/0.97 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_1938_n020')).
% 0.56/0.97 cnf('0.1.1.0',plain,
% 0.56/0.97 ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.1.2.0',plain,
% 0.56/0.97 ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_1]).
% 0.56/0.97 cnf('0.2.0.0',axiom,
% 0.56/0.97 ( add(X1,X2) = add(X2,X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_1938_n020')).
% 0.56/0.97 cnf('0.2.1.0',plain,
% 0.56/0.97 ( add(X1,X2) = add(X2,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.2.2.0',plain,
% 0.56/0.97 ( add(X1,X2) = add(X2,X1) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.2.1.0']),
% 0.56/0.97 [equation_1]).
% 0.56/0.97 cnf('0.4.0.0',axiom,
% 0.56/0.97 ( negate(add(a,b)) = c ),
% 0.56/0.97 file('/tmp/WALDMEISTER_1938_n020')).
% 0.56/0.97 cnf('0.4.1.0',plain,
% 0.56/0.97 ( negate(add(a,b)) = c ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.56/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.56/0.97 cnf('0.4.1.1',plain,
% 0.56/0.97 ( negate(add(b,a)) = c ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.4.2.0',plain,
% 0.56/0.97 ( negate(add(b,a)) = c ),
% 0.56/0.97 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.56/0.97 [u,rule_3]).
% 0.56/0.97 cnf('0.7.0.0',plain,
% 0.56/0.97 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1.1.1','L')]).
% 0.56/0.97 cnf('0.7.1.0',plain,
% 0.56/0.97 ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.97 [weight('<39,2,1,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.7.2.0',plain,
% 0.56/0.97 ( negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_6]).
% 0.56/0.97 cnf('0.8.0.0',plain,
% 0.56/0.97 ( a = negate(add(c,negate(add(a,negate(b))))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1.1','L')]).
% 0.56/0.97 cnf('0.8.1.0',plain,
% 0.56/0.97 ( a = negate(add(c,negate(add(a,negate(b))))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.97 [weight('<28,7,4,[1,0,0,2]>')]).
% 0.56/0.97 cnf('0.8.2.0',plain,
% 0.56/0.97 ( negate(add(c,negate(add(a,negate(b))))) = a ),
% 0.56/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_7]).
% 0.56/0.97 cnf('1.0.0.0',conjecture,
% 0.56/0.97 ( negate(add(c,negate(add(negate(b),a)))) = a ),
% 0.56/0.97 file('/tmp/WALDMEISTER_1938_n020',conjecture_1)).
% 0.56/0.97 cnf('1.0.0.1',plain,
% 0.56/0.97 ( negate(add(c,negate(add(a,negate(b))))) = a ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.2',plain,
% 0.56/0.97 ( a = a ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.8.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.3',plain,
% 0.56/0.97 ( $true ),
% 0.56/0.97 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.56/0.97 [conjecture_1]).
% 0.56/0.97
% 0.56/0.97 Proved Goals:
% 0.56/0.97 No. 1: negate(add(c,negate(add(negate(b),a)))) ?= a joined, current: a = a
% 0.56/0.97 1 goal was specified, which was proved.
% 0.56/0.97 % SZS output end CNFRefutation
% 0.56/0.97 #END OF PROOF
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_1938_n020
% 0.56/0.97 CPs.gen 41
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 8
% 0.56/0.97 R 7
% 0.56/0.97 E 1
% 0.56/0.97 vsize 6.5M
% 0.56/0.97 rss 3.8M
% 0.56/0.97 process.time 0.002s
% 0.56/0.97 wallclock.time 0.002s
% 0.56/0.97 status S
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Waldmeister states: Goal proved.
% 0.56/0.97 % SZS status Unsatisfiable
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