TSTP Solution File: BOO013-4 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 : Thu Jul 14 23:52:50 EDT 2022
% Result : Unsatisfiable 0.58s 0.95s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n024.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 : Wed Jun 1 16:03:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.95 ********************************************************************************
% 0.58/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.95 * |/ | \/ | *
% 0.58/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.95 * A. Jaeger and B. Loechner | | *
% 0.58/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.95 ********************************************************************************
% 0.58/0.95
% 0.58/0.95
% 0.58/0.95 Goals:
% 0.58/0.95 ------
% 0.58/0.95
% 0.58/0.95 ( 1) b ?=? inverse(a)
% 0.58/0.95
% 0.58/0.95 Detected structure: BoolescheAlgebra
% 0.58/0.95 ********************************************************************************
% 0.58/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.95 ********************************************************************************
% 0.58/0.95
% 0.58/0.95 joined goal: 1 b ?= inverse(a) to b
% 0.58/0.95 goal joined
% 0.58/0.95 % SZS status Unsatisfiable
% 0.58/0.95 #START OF PROOF
% 0.58/0.95 % SZS output start CNFRefutation
% 0.58/0.95 cnf('0.1.0.0',axiom,
% 0.58/0.95 ( X1 = add(X1,additive_identity) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.1.1.0',plain,
% 0.58/0.95 ( X1 = add(X1,additive_identity) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.1.2.0',plain,
% 0.58/0.95 ( add(X1,additive_identity) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_1]).
% 0.58/0.95 cnf('0.2.0.0',axiom,
% 0.58/0.95 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.2.1.0',plain,
% 0.58/0.95 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.95 cnf('0.2.2.0',plain,
% 0.58/0.95 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_2]).
% 0.58/0.95 cnf('0.3.0.0',axiom,
% 0.58/0.95 ( add(X1,X2) = add(X2,X1) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.3.1.0',plain,
% 0.58/0.95 ( add(X1,X2) = add(X2,X1) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.95 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.95 cnf('0.3.2.0',plain,
% 0.58/0.95 ( add(X1,X2) = add(X2,X1) ),
% 0.58/0.95 inference(activate,[status(thm)],['0.3.1.0']),
% 0.58/0.95 [equation_1]).
% 0.58/0.95 cnf('0.4.0.0',axiom,
% 0.58/0.95 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.4.1.0',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.95 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.95 cnf('0.4.2.0',plain,
% 0.58/0.95 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_3]).
% 0.58/0.95 cnf('0.5.0.0',axiom,
% 0.58/0.95 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.5.1.0',plain,
% 0.58/0.95 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.95 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/0.95 cnf('0.5.2.0',plain,
% 0.58/0.95 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.58/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_4]).
% 0.58/0.95 cnf('0.6.0.0',axiom,
% 0.58/0.95 ( add(a,b) = multiplicative_identity ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.6.1.0',plain,
% 0.58/0.95 ( add(a,b) = multiplicative_identity ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.95 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.58/0.95 cnf('0.6.1.1',plain,
% 0.58/0.95 ( add(b,a) = multiplicative_identity ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.6.1.0','0.3.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.6.2.0',plain,
% 0.58/0.95 ( add(b,a) = multiplicative_identity ),
% 0.58/0.95 inference(orient,[status(thm)],['0.6.1.1',theory(equality)]),
% 0.58/0.95 [u,rule_5]).
% 0.58/0.95 cnf('0.7.0.0',axiom,
% 0.58/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.7.1.0',plain,
% 0.58/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.95 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/0.95 cnf('0.7.2.0',plain,
% 0.58/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.95 inference(activate,[status(thm)],['0.7.1.0']),
% 0.58/0.95 [equation_2]).
% 0.58/0.95 cnf('0.8.0.0',axiom,
% 0.58/0.95 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.8.1.0',plain,
% 0.58/0.95 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.95 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.58/0.95 cnf('0.8.2.0',plain,
% 0.58/0.95 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_6]).
% 0.58/0.95 cnf('0.9.0.0',axiom,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.9.1.0',plain,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/0.95 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.58/0.95 cnf('0.9.2.0',plain,
% 0.58/0.95 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.58/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_7]).
% 0.58/0.95 cnf('0.10.0.0',axiom,
% 0.58/0.95 ( multiply(a,b) = additive_identity ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024')).
% 0.58/0.95 cnf('0.10.1.0',plain,
% 0.58/0.95 ( multiply(a,b) = additive_identity ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/0.95 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.58/0.95 cnf('0.10.1.1',plain,
% 0.58/0.95 ( multiply(b,a) = additive_identity ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.10.1.0','0.7.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.10.2.0',plain,
% 0.58/0.95 ( multiply(b,a) = additive_identity ),
% 0.58/0.95 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 0.58/0.95 [u,rule_8]).
% 0.58/0.95 cnf('0.11.0.0',plain,
% 0.58/0.95 ( add(additive_identity,X1) = X1 ),
% 0.58/0.95 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.11.1.0',plain,
% 0.58/0.95 ( add(additive_identity,X1) = X1 ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.95 [weight('<3,3,1,[1,0,0,0]>')]).
% 0.58/0.95 cnf('0.11.2.0',plain,
% 0.58/0.95 ( add(additive_identity,X1) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_9]).
% 0.58/0.95 cnf('0.13.0.0',plain,
% 0.58/0.95 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.58/0.95 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.13.1.0',plain,
% 0.58/0.95 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/0.95 [weight('<3,7,2,[1,0,0,0]>')]).
% 0.58/0.95 cnf('0.13.2.0',plain,
% 0.58/0.95 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_11]).
% 0.58/0.95 cnf('0.15.0.0',plain,
% 0.58/0.95 ( add(b,multiply(a,X1)) = multiply(multiplicative_identity,add(b,X1)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.15.1.0',plain,
% 0.58/0.95 ( add(b,multiply(a,X1)) = multiply(multiplicative_identity,add(b,X1)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/0.95 [weight('<5,6,4,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.15.1.1',plain,
% 0.58/0.95 ( add(b,multiply(a,X1)) = add(b,X1) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.15.1.0','0.13.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.15.2.0',plain,
% 0.58/0.95 ( add(b,multiply(a,X1)) = add(b,X1) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 0.58/0.95 [u,rule_13]).
% 0.58/0.95 cnf('0.17.0.0',plain,
% 0.58/0.95 ( add(b,inverse(a)) = add(b,additive_identity) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.15.2.0','0.9.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.17.0.1',plain,
% 0.58/0.95 ( add(b,inverse(a)) = b ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.17.1.0',plain,
% 0.58/0.95 ( add(b,inverse(a)) = b ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.58/0.95 [weight('<4,15,9,[1,0,0,2]>')]).
% 0.58/0.95 cnf('0.17.2.0',plain,
% 0.58/0.95 ( add(b,inverse(a)) = b ),
% 0.58/0.95 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_15]).
% 0.58/0.95 cnf('0.20.0.0',plain,
% 0.58/0.95 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.20.1.0',plain,
% 0.58/0.95 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.58/0.95 [weight('<5,8,2,[1,0,0,1]>')]).
% 0.58/0.95 cnf('0.20.2.0',plain,
% 0.58/0.95 ( add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_18]).
% 0.58/0.95 cnf('0.21.0.0',plain,
% 0.58/0.95 ( multiply(b,add(a,X1)) = add(additive_identity,multiply(b,X1)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.8.2.0','0.10.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.21.1.0',plain,
% 0.58/0.95 ( multiply(b,add(a,X1)) = add(additive_identity,multiply(b,X1)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.58/0.95 [weight('<5,10,8,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.21.1.1',plain,
% 0.58/0.95 ( multiply(b,add(a,X1)) = multiply(b,X1) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.21.1.0','0.11.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.21.2.0',plain,
% 0.58/0.95 ( multiply(b,add(a,X1)) = multiply(b,X1) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.21.1.1',theory(equality)]),
% 0.58/0.95 [u,rule_19]).
% 0.58/0.95 cnf('0.23.0.0',plain,
% 0.58/0.95 ( multiply(b,inverse(a)) = multiply(b,multiplicative_identity) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.21.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.23.0.1',plain,
% 0.58/0.95 ( multiply(b,inverse(a)) = b ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.23.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.23.1.0',plain,
% 0.58/0.95 ( multiply(b,inverse(a)) = b ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.58/0.95 [weight('<4,21,5,[1,0,0,2]>')]).
% 0.58/0.95 cnf('0.23.2.0',plain,
% 0.58/0.95 ( multiply(b,inverse(a)) = b ),
% 0.58/0.95 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_21]).
% 0.58/0.95 cnf('0.28.0.0',plain,
% 0.58/0.95 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X2,X1)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.20.2.0','0.7.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.28.1.0',plain,
% 0.58/0.95 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X2,X1)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.58/0.95 [weight('<5,20,7,[1,0,0,2]>')]).
% 0.58/0.95 cnf('0.28.2.0',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X1)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_26]).
% 0.58/0.95 cnf('0.32.0.0',plain,
% 0.58/0.95 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.1','L')]).
% 0.58/0.95 cnf('0.32.1.0',plain,
% 0.58/0.95 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.58/0.95 [weight('<6,5,4,[0,0,0,1]>')]).
% 0.58/0.95 cnf('0.32.1.1',plain,
% 0.58/0.95 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.32.1.0','0.13.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.32.2.0',plain,
% 0.58/0.95 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.58/0.95 inference(orient,[status(thm)],['0.32.1.1',theory(equality)]),
% 0.58/0.95 [u,rule_30]).
% 0.58/0.95 cnf('0.33.0.0',plain,
% 0.58/0.95 ( add(X1,multiplicative_identity) = add(X1,inverse(X1)) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.32.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.33.0.1',plain,
% 0.58/0.95 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.33.0.0','0.5.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.33.1.0',plain,
% 0.58/0.95 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.58/0.95 [weight('<3,32,2,[1,0,0,2]>')]).
% 0.58/0.95 cnf('0.33.2.0',plain,
% 0.58/0.95 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.58/0.95 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_31]).
% 0.58/0.95 cnf('0.35.0.0',plain,
% 0.58/0.95 ( multiplicative_identity = add(multiplicative_identity,X1) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.33.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.95 [pos('L','L')]).
% 0.58/0.95 cnf('0.35.1.0',plain,
% 0.58/0.95 ( multiplicative_identity = add(multiplicative_identity,X1) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.58/0.95 [weight('<3,33,3,[1,0,0,0]>')]).
% 0.58/0.95 cnf('0.35.2.0',plain,
% 0.58/0.95 ( add(multiplicative_identity,X1) = multiplicative_identity ),
% 0.58/0.95 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.58/0.95 [x,rule_33]).
% 0.58/0.95 cnf('0.40.0.0',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X1)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.58/0.95 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.58/0.95 cnf('0.40.0.1',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X1)) = multiply(X1,multiplicative_identity) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.40.0.0','0.35.2.0',theory(equality)]),
% 0.58/0.95 [pos('R.2','L')]).
% 0.58/0.95 cnf('0.40.0.2',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.40.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.40.1.0',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.40.0.2']),
% 0.58/0.95 [weight('<5,28,35,[0,0,0,0]>')]).
% 0.58/0.95 cnf('0.40.2.0',plain,
% 0.58/0.95 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.58/0.95 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.58/0.95 [u,rule_38]).
% 0.58/0.95 cnf('0.41.0.0',plain,
% 0.58/0.95 ( inverse(a) = add(inverse(a),b) ),
% 0.58/0.95 inference(cp,[status(thm)],['0.40.2.0','0.23.2.0',theory(equality)]),
% 0.58/0.95 [pos('L.2','L')]).
% 0.58/0.95 cnf('0.41.1.0',plain,
% 0.58/0.95 ( inverse(a) = add(inverse(a),b) ),
% 0.58/0.95 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.58/0.95 [weight('<4,40,23,[1,0,0,2]>')]).
% 0.58/0.95 cnf('0.41.1.1',plain,
% 0.58/0.95 ( inverse(a) = add(b,inverse(a)) ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.41.1.0','0.3.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.41.1.2',plain,
% 0.58/0.95 ( inverse(a) = b ),
% 0.58/0.95 inference(reduction,[status(thm)],['0.41.1.1','0.17.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('0.41.2.0',plain,
% 0.58/0.95 ( inverse(a) = b ),
% 0.58/0.95 inference(orient,[status(thm)],['0.41.1.2',theory(equality)]),
% 0.58/0.95 [u,rule_39]).
% 0.58/0.95 cnf('1.0.0.0',conjecture,
% 0.58/0.95 ( b = inverse(a) ),
% 0.58/0.95 file('/tmp/WALDMEISTER_12482_n024',conjecture_1)).
% 0.58/0.95 cnf('1.0.0.1',plain,
% 0.58/0.95 ( b = b ),
% 0.58/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.41.2.0',theory(equality)]),
% 0.58/0.95 [pos('R','L')]).
% 0.58/0.95 cnf('1.0.0.2',plain,
% 0.58/0.95 ( $true ),
% 0.58/0.95 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.95 [conjecture_1]).
% 0.58/0.95
% 0.58/0.95 Proved Goals:
% 0.58/0.95 No. 1: b ?= inverse(a) joined, current: b = b
% 0.58/0.95 1 goal was specified, which was proved.
% 0.58/0.95 % SZS output end CNFRefutation
% 0.58/0.95 #END OF PROOF
% 0.58/0.95
% 0.58/0.95 Problem WALDMEISTER_12482_n024
% 0.58/0.95 CPs.gen 258
% 0.58/0.95 CPs.reexp 0
% 0.58/0.95 Select 54
% 0.58/0.95 R 39
% 0.58/0.95 E 2
% 0.58/0.95 vsize 6.5M
% 0.58/0.95 rss 3.8M
% 0.58/0.95 process.time 0.003s
% 0.58/0.95 wallclock.time 0.003s
% 0.58/0.95 status S
% 0.58/0.95
% 0.58/0.95
% 0.58/0.95 Waldmeister states: Goal proved.
% 0.58/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------