TSTP Solution File: RNG012-6 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG012-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 20:47:24 EDT 2022
% Result : Unsatisfiable 0.60s 1.02s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG012-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.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 06:01:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/1.02 ********************************************************************************
% 0.60/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.02 * |/ | \/ | *
% 0.60/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.02 * A. Jaeger and B. Loechner | | *
% 0.60/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.02 ********************************************************************************
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 Goals:
% 0.60/1.02 ------
% 0.60/1.02
% 0.60/1.02 ( 1) multiply(additive_inverse(a),additive_inverse(b)) ?=? multiply(a,b)
% 0.60/1.02
% 0.60/1.02 Detected structure: NichtassoziativerRing
% 0.60/1.02 ********************************************************************************
% 0.60/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.02 ********************************************************************************
% 0.60/1.02
% 0.60/1.02 joined goal: 1 multiply(additive_inverse(a),additive_inverse(b)) ?= multiply(a,b) to multiply(a,b)
% 0.60/1.02 goal joined
% 0.60/1.02 % SZS status Unsatisfiable
% 0.60/1.02 #START OF PROOF
% 0.60/1.02 % SZS output start CNFRefutation
% 0.60/1.02 cnf('0.1.0.0',axiom,
% 0.60/1.02 ( X1 = add(X1,additive_identity) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.1.1.0',plain,
% 0.60/1.02 ( X1 = add(X1,additive_identity) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.02 cnf('0.1.2.0',plain,
% 0.60/1.02 ( add(X1,additive_identity) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_1]).
% 0.60/1.02 cnf('0.2.0.0',axiom,
% 0.60/1.02 ( X1 = add(additive_identity,X1) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.2.1.0',plain,
% 0.60/1.02 ( X1 = add(additive_identity,X1) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.2.2.0',plain,
% 0.60/1.02 ( add(additive_identity,X1) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_2]).
% 0.60/1.02 cnf('0.3.0.0',axiom,
% 0.60/1.02 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.3.1.0',plain,
% 0.60/1.02 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.02 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.02 cnf('0.3.2.0',plain,
% 0.60/1.02 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_3]).
% 0.60/1.02 cnf('0.6.0.0',axiom,
% 0.60/1.02 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.6.1.0',plain,
% 0.60/1.02 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.02 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.60/1.02 cnf('0.6.2.0',plain,
% 0.60/1.02 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_6]).
% 0.60/1.02 cnf('0.7.0.0',axiom,
% 0.60/1.02 ( multiply(X1,additive_identity) = additive_identity ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.7.1.0',plain,
% 0.60/1.02 ( multiply(X1,additive_identity) = additive_identity ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/1.02 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.60/1.02 cnf('0.7.2.0',plain,
% 0.60/1.02 ( multiply(X1,additive_identity) = additive_identity ),
% 0.60/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_7]).
% 0.60/1.02 cnf('0.8.0.0',axiom,
% 0.60/1.02 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.8.1.0',plain,
% 0.60/1.02 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.02 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.60/1.02 cnf('0.8.2.0',plain,
% 0.60/1.02 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_8]).
% 0.60/1.02 cnf('0.9.0.0',axiom,
% 0.60/1.02 ( multiply(additive_identity,X1) = additive_identity ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.9.1.0',plain,
% 0.60/1.02 ( multiply(additive_identity,X1) = additive_identity ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/1.02 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.60/1.02 cnf('0.9.2.0',plain,
% 0.60/1.02 ( multiply(additive_identity,X1) = additive_identity ),
% 0.60/1.02 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_9]).
% 0.60/1.02 cnf('0.11.0.0',axiom,
% 0.60/1.02 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.11.1.0',plain,
% 0.60/1.02 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.60/1.02 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.60/1.02 cnf('0.11.2.0',plain,
% 0.60/1.02 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.60/1.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_10]).
% 0.60/1.02 cnf('0.12.0.0',axiom,
% 0.60/1.02 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.60/1.02 file('/tmp/WALDMEISTER_30537_n023')).
% 0.60/1.02 cnf('0.12.1.0',plain,
% 0.60/1.02 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/1.02 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.60/1.02 cnf('0.12.2.0',plain,
% 0.60/1.02 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.60/1.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_11]).
% 0.60/1.02 cnf('0.16.0.0',plain,
% 0.60/1.02 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.1','L')]).
% 0.60/1.02 cnf('0.16.0.1',plain,
% 0.60/1.02 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.16.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.02 [pos('R','L')]).
% 0.60/1.02 cnf('0.16.1.0',plain,
% 0.60/1.02 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.60/1.02 [weight('<6,12,11,[0,0,0,1]>')]).
% 0.60/1.02 cnf('0.16.2.0',plain,
% 0.60/1.02 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_15]).
% 0.60/1.02 cnf('0.17.0.0',plain,
% 0.60/1.02 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.16.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2.1','L')]).
% 0.60/1.02 cnf('0.17.1.0',plain,
% 0.60/1.02 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.60/1.02 [weight('<6,16,3,[1,0,0,3]>')]).
% 0.60/1.02 cnf('0.17.2.0',plain,
% 0.60/1.02 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 0.60/1.02 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.60/1.02 [x,rule_16]).
% 0.60/1.02 cnf('0.24.0.0',plain,
% 0.60/1.02 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = multiply(X1,additive_identity) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.24.0.1',plain,
% 0.60/1.02 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.24.0.0','0.7.2.0',theory(equality)]),
% 0.60/1.02 [pos('R','L')]).
% 0.60/1.02 cnf('0.24.1.0',plain,
% 0.60/1.02 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 0.60/1.02 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.60/1.02 [weight('<8,12,6,[0,0,0,2]>')]).
% 0.60/1.02 cnf('0.24.2.0',plain,
% 0.60/1.02 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 0.60/1.02 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.60/1.02 [u,rule_23]).
% 0.60/1.02 cnf('0.25.0.0',plain,
% 0.60/1.02 ( multiply(X1,additive_inverse(X2)) = add(additive_inverse(multiply(X1,X2)),additive_identity) ),
% 0.60/1.02 inference(cp,[status(thm)],['0.17.2.0','0.24.2.0',theory(equality)]),
% 0.60/1.02 [pos('L.2','L')]).
% 0.60/1.02 cnf('0.25.0.1',plain,
% 0.60/1.02 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.60/1.02 inference(reduction,[status(thm)],['0.25.0.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.25.1.0',plain,
% 0.60/1.03 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.60/1.03 [weight('<4,24,17,[0,0,0,3]>')]).
% 0.60/1.03 cnf('0.25.2.0',plain,
% 0.60/1.03 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_24]).
% 0.60/1.03 cnf('0.28.0.0',plain,
% 0.60/1.03 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = multiply(additive_identity,X2) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('0.28.0.1',plain,
% 0.60/1.03 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.28.0.0','0.9.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.28.1.0',plain,
% 0.60/1.03 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.60/1.03 [weight('<8,12,8,[0,0,0,1]>')]).
% 0.60/1.03 cnf('0.28.2.0',plain,
% 0.60/1.03 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 0.60/1.03 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_27]).
% 0.60/1.03 cnf('0.29.0.0',plain,
% 0.60/1.03 ( multiply(additive_inverse(X1),X2) = add(additive_inverse(multiply(X1,X2)),additive_identity) ),
% 0.60/1.03 inference(cp,[status(thm)],['0.17.2.0','0.28.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.2','L')]).
% 0.60/1.03 cnf('0.29.0.1',plain,
% 0.60/1.03 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.60/1.03 inference(reduction,[status(thm)],['0.29.0.0','0.1.2.0',theory(equality)]),
% 0.60/1.03 [pos('R','L')]).
% 0.60/1.03 cnf('0.29.1.0',plain,
% 0.60/1.03 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.60/1.03 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.60/1.03 [weight('<4,28,17,[0,0,0,3]>')]).
% 0.60/1.03 cnf('0.29.2.0',plain,
% 0.60/1.03 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.60/1.03 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.60/1.03 [u,rule_28]).
% 0.60/1.03 cnf('1.0.0.0',conjecture,
% 0.60/1.03 ( multiply(additive_inverse(a),additive_inverse(b)) = multiply(a,b) ),
% 0.60/1.03 file('/tmp/WALDMEISTER_30537_n023',conjecture_1)).
% 0.60/1.03 cnf('1.0.0.1',plain,
% 0.60/1.03 ( additive_inverse(multiply(a,additive_inverse(b))) = multiply(a,b) ),
% 0.60/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.29.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('1.0.0.2',plain,
% 0.60/1.03 ( additive_inverse(additive_inverse(multiply(a,b))) = multiply(a,b) ),
% 0.60/1.03 inference(reduction,[status(thm)],['1.0.0.1','0.25.2.0',theory(equality)]),
% 0.60/1.03 [pos('L.1','L')]).
% 0.60/1.03 cnf('1.0.0.3',plain,
% 0.60/1.03 ( multiply(a,b) = multiply(a,b) ),
% 0.60/1.03 inference(reduction,[status(thm)],['1.0.0.2','0.3.2.0',theory(equality)]),
% 0.60/1.03 [pos('L','L')]).
% 0.60/1.03 cnf('1.0.0.4',plain,
% 0.60/1.03 ( $true ),
% 0.60/1.03 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.60/1.03 [conjecture_1]).
% 0.60/1.03
% 0.60/1.03 Proved Goals:
% 0.60/1.03 No. 1: multiply(additive_inverse(a),additive_inverse(b)) ?= multiply(a,b) joined, current: multiply(a,b) = multiply(a,b)
% 0.60/1.03 1 goal was specified, which was proved.
% 0.60/1.03 % SZS output end CNFRefutation
% 0.60/1.03 #END OF PROOF
% 0.60/1.03
% 0.60/1.03 Problem WALDMEISTER_30537_n023
% 0.60/1.03 CPs.gen 265
% 0.60/1.03 CPs.reexp 0
% 0.60/1.03 Select 47
% 0.60/1.03 R 28
% 0.60/1.03 E 1
% 0.60/1.03 vsize 6.5M
% 0.60/1.03 rss 3.8M
% 0.60/1.03 process.time 0.004s
% 0.60/1.03 wallclock.time 0.004s
% 0.60/1.03 status S
% 0.60/1.03
% 0.60/1.03
% 0.60/1.03 Waldmeister states: Goal proved.
% 0.60/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------