TSTP Solution File: RNG024-6 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG024-6 : 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 20:47:25 EDT 2022
% Result : Unsatisfiable 0.61s 1.00s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG024-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n020.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 : Mon May 30 09:08:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/0.99 * |/ | \/ | *
% 0.61/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/0.99 * A. Jaeger and B. Loechner | | *
% 0.61/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 0.61/0.99
% 0.61/0.99 Goals:
% 0.61/0.99 ------
% 0.61/0.99
% 0.61/0.99 ( 1) additive_identity ?=? associator(x,y,y)
% 0.61/0.99
% 0.61/0.99 Detected structure: NichtassoziativerRing
% 0.61/0.99 ********************************************************************************
% 0.61/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.61/0.99 ********************************************************************************
% 0.61/0.99
% 0.61/1.00 joined goal: 1 additive_identity ?= associator(x,y,y) to additive_identity
% 0.61/1.00 goal joined
% 0.61/1.00 % SZS status Unsatisfiable
% 0.61/1.00 #START OF PROOF
% 0.61/1.00 % SZS output start CNFRefutation
% 0.61/1.00 cnf('0.4.0.0',axiom,
% 0.61/1.00 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_31669_n020')).
% 0.61/1.00 cnf('0.4.1.0',plain,
% 0.61/1.00 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.61/1.00 cnf('0.4.2.0',plain,
% 0.61/1.00 ( multiply(multiply(X1,X2),X2) = multiply(X1,multiply(X2,X2)) ),
% 0.61/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/1.00 [x,rule_4]).
% 0.61/1.00 cnf('0.10.0.0',axiom,
% 0.61/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_31669_n020')).
% 0.61/1.00 cnf('0.10.1.0',plain,
% 0.61/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.61/1.00 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.61/1.00 cnf('0.10.2.0',plain,
% 0.61/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.00 inference(activate,[status(thm)],['0.10.1.0']),
% 0.61/1.00 [equation_1]).
% 0.61/1.00 cnf('0.12.0.0',axiom,
% 0.61/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.00 file('/tmp/WALDMEISTER_31669_n020')).
% 0.61/1.00 cnf('0.12.1.0',plain,
% 0.61/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.61/1.00 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.61/1.00 cnf('0.12.2.0',plain,
% 0.61/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.00 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.61/1.00 [u,rule_11]).
% 0.61/1.00 cnf('0.14.0.0',axiom,
% 0.61/1.00 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_31669_n020')).
% 0.61/1.00 cnf('0.14.1.0',plain,
% 0.61/1.00 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.61/1.00 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.61/1.00 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.61/1.00 cnf('0.14.1.1',plain,
% 0.61/1.00 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) = associator(X1,X2,X3) ),
% 0.61/1.00 inference(reduction,[status(thm)],['0.14.1.0','0.10.2.0',theory(equality)]),
% 0.61/1.00 [pos('L','L')]).
% 0.61/1.00 cnf('0.14.2.0',plain,
% 0.61/1.00 ( associator(X1,X2,X3) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) ),
% 0.61/1.00 inference(orient,[status(thm)],['0.14.1.1',theory(equality)]),
% 0.61/1.00 [x,rule_13]).
% 0.61/1.00 cnf('1.0.0.0',conjecture,
% 0.61/1.00 ( additive_identity = associator(x,y,y) ),
% 0.61/1.00 file('/tmp/WALDMEISTER_31669_n020',conjecture_1)).
% 0.61/1.00 cnf('1.0.0.1',plain,
% 0.61/1.00 ( additive_identity = add(additive_inverse(multiply(x,multiply(y,y))),multiply(multiply(x,y),y)) ),
% 0.61/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.61/1.00 [pos('R','L')]).
% 0.61/1.00 cnf('1.0.0.2',plain,
% 0.61/1.00 ( additive_identity = add(additive_inverse(multiply(x,multiply(y,y))),multiply(x,multiply(y,y))) ),
% 0.61/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.4.2.0',theory(equality)]),
% 0.61/1.00 [pos('R.2','L')]).
% 0.61/1.00 cnf('1.0.0.3',plain,
% 0.61/1.00 ( additive_identity = add(multiply(x,multiply(y,y)),additive_inverse(multiply(x,multiply(y,y)))) ),
% 0.61/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.10.2.0',theory(equality)]),
% 0.61/1.00 [pos('R','L')]).
% 0.61/1.00 cnf('1.0.0.4',plain,
% 0.61/1.00 ( additive_identity = additive_identity ),
% 0.61/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.12.2.0',theory(equality)]),
% 0.61/1.00 [pos('R','L')]).
% 0.61/1.00 cnf('1.0.0.5',plain,
% 0.61/1.00 ( $true ),
% 0.61/1.00 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.61/1.00 [conjecture_1]).
% 0.61/1.00
% 0.61/1.00 Proved Goals:
% 0.61/1.00 No. 1: additive_identity ?= associator(x,y,y) joined, current: additive_identity = additive_identity
% 0.61/1.00 1 goal was specified, which was proved.
% 0.61/1.00 % SZS output end CNFRefutation
% 0.61/1.00 #END OF PROOF
% 0.61/1.00
% 0.61/1.00 Problem WALDMEISTER_31669_n020
% 0.61/1.00 CPs.gen 45
% 0.61/1.00 CPs.reexp 0
% 0.61/1.00 Select 14
% 0.61/1.00 R 13
% 0.61/1.00 E 1
% 0.61/1.00 vsize 6.5M
% 0.61/1.00 rss 3.6M
% 0.61/1.00 process.time 0.002s
% 0.61/1.00 wallclock.time 0.002s
% 0.61/1.00 status S
% 0.61/1.00
% 0.61/1.00
% 0.61/1.00 Waldmeister states: Goal proved.
% 0.61/1.00 % SZS status Unsatisfiable
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