TSTP Solution File: RNG024-7 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG024-7 : 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 : Mon Jul 18 20:47:26 EDT 2022
% Result : Unsatisfiable 0.61s 1.01s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG024-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 12:38:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.01 * |/ | \/ | *
% 0.61/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.01 * A. Jaeger and B. Loechner | | *
% 0.61/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Goals:
% 0.61/1.01 ------
% 0.61/1.01
% 0.61/1.01 ( 1) additive_identity ?=? associator(x,y,y)
% 0.61/1.01
% 0.61/1.01 Detected structure: NichtassoziativerRing
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.61/1.01 joined goal: 1 additive_identity ?= associator(x,y,y) to additive_identity
% 0.61/1.01 goal joined
% 0.61/1.01 % SZS status Unsatisfiable
% 0.61/1.01 #START OF PROOF
% 0.61/1.01 % SZS output start CNFRefutation
% 0.61/1.01 cnf('0.5.0.0',axiom,
% 0.61/1.01 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_19160_n021')).
% 0.61/1.01 cnf('0.5.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X2)) = multiply(multiply(X1,X2),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.61/1.01 cnf('0.5.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),X2) = multiply(X1,multiply(X2,X2)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_5]).
% 0.61/1.01 cnf('0.14.0.0',axiom,
% 0.61/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_19160_n021')).
% 0.61/1.01 cnf('0.14.1.0',plain,
% 0.61/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.61/1.01 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.61/1.01 cnf('0.14.2.0',plain,
% 0.61/1.01 ( add(X1,X2) = add(X2,X1) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.14.1.0']),
% 0.61/1.01 [equation_1]).
% 0.61/1.01 cnf('0.16.0.0',axiom,
% 0.61/1.01 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.01 file('/tmp/WALDMEISTER_19160_n021')).
% 0.61/1.01 cnf('0.16.1.0',plain,
% 0.61/1.01 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.61/1.01 [weight('<18,0,0,[0,0,0,19]>')]).
% 0.61/1.01 cnf('0.16.2.0',plain,
% 0.61/1.01 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_15]).
% 0.61/1.01 cnf('0.18.0.0',axiom,
% 0.61/1.01 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_19160_n021')).
% 0.61/1.01 cnf('0.18.1.0',plain,
% 0.61/1.01 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.61/1.01 [weight('<20,0,0,[0,0,0,21]>')]).
% 0.61/1.01 cnf('0.18.1.1',plain,
% 0.61/1.01 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) = associator(X1,X2,X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.18.1.0','0.14.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.18.2.0',plain,
% 0.61/1.01 ( associator(X1,X2,X3) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.61/1.01 [x,rule_17]).
% 0.61/1.01 cnf('1.0.0.0',conjecture,
% 0.61/1.01 ( additive_identity = associator(x,y,y) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_19160_n021',conjecture_1)).
% 0.61/1.01 cnf('1.0.0.1',plain,
% 0.61/1.01 ( additive_identity = add(additive_inverse(multiply(x,multiply(y,y))),multiply(multiply(x,y),y)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('1.0.0.2',plain,
% 0.61/1.01 ( additive_identity = add(additive_inverse(multiply(x,multiply(y,y))),multiply(x,multiply(y,y))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2','L')]).
% 0.61/1.01 cnf('1.0.0.3',plain,
% 0.61/1.01 ( additive_identity = add(multiply(x,multiply(y,y)),additive_inverse(multiply(x,multiply(y,y)))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.2','0.14.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('1.0.0.4',plain,
% 0.61/1.01 ( additive_identity = additive_identity ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.3','0.16.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('1.0.0.5',plain,
% 0.61/1.01 ( $true ),
% 0.61/1.01 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.61/1.01 [conjecture_1]).
% 0.61/1.01
% 0.61/1.01 Proved Goals:
% 0.61/1.01 No. 1: additive_identity ?= associator(x,y,y) joined, current: additive_identity = additive_identity
% 0.61/1.01 1 goal was specified, which was proved.
% 0.61/1.01 % SZS output end CNFRefutation
% 0.61/1.01 #END OF PROOF
% 0.61/1.01
% 0.61/1.01 Problem WALDMEISTER_19160_n021
% 0.61/1.01 CPs.gen 83
% 0.61/1.01 CPs.reexp 0
% 0.61/1.01 Select 21
% 0.61/1.01 R 17
% 0.61/1.01 E 1
% 0.61/1.01 vsize 6.5M
% 0.61/1.01 rss 3.8M
% 0.61/1.01 process.time 0.002s
% 0.61/1.01 wallclock.time 0.002s
% 0.61/1.01 status S
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Waldmeister states: Goal proved.
% 0.61/1.01 % SZS status Unsatisfiable
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