TSTP Solution File: RNG026-6 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG026-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 0.58s 1.00s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG026-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 09:23:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) ?=? additive_identity
% 0.58/0.99
% 0.58/0.99 Detected structure: NichtassoziativerRing
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/1.00 joined goal: 1 add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) ?= additive_identity to additive_identity
% 0.58/1.00 goal joined
% 0.58/1.00 % SZS status Unsatisfiable
% 0.58/1.00 #START OF PROOF
% 0.58/1.00 % SZS output start CNFRefutation
% 0.58/1.00 cnf('0.1.0.0',axiom,
% 0.58/1.00 ( X1 = add(X1,additive_identity) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.1.1.0',plain,
% 0.58/1.00 ( X1 = add(X1,additive_identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.1.2.0',plain,
% 0.58/1.00 ( add(X1,additive_identity) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_1]).
% 0.58/1.00 cnf('0.2.0.0',axiom,
% 0.58/1.00 ( X1 = add(additive_identity,X1) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.2.1.0',plain,
% 0.58/1.00 ( X1 = add(additive_identity,X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.2.2.0',plain,
% 0.58/1.00 ( add(additive_identity,X1) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_2]).
% 0.58/1.00 cnf('0.3.0.0',axiom,
% 0.58/1.00 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.3.1.0',plain,
% 0.58/1.00 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.3.2.0',plain,
% 0.58/1.00 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_3]).
% 0.58/1.00 cnf('0.6.0.0',axiom,
% 0.58/1.00 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.6.1.0',plain,
% 0.58/1.00 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.00 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.58/1.00 cnf('0.6.2.0',plain,
% 0.58/1.00 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_6]).
% 0.58/1.00 cnf('0.7.0.0',axiom,
% 0.58/1.00 ( multiply(X1,additive_identity) = additive_identity ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.7.1.0',plain,
% 0.58/1.00 ( multiply(X1,additive_identity) = additive_identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/1.00 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/1.00 cnf('0.7.2.0',plain,
% 0.58/1.00 ( multiply(X1,additive_identity) = additive_identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_7]).
% 0.58/1.00 cnf('0.8.0.0',axiom,
% 0.58/1.00 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.8.1.0',plain,
% 0.58/1.00 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/1.00 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.58/1.00 cnf('0.8.2.0',plain,
% 0.58/1.00 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_8]).
% 0.58/1.00 cnf('0.9.0.0',axiom,
% 0.58/1.00 ( multiply(additive_identity,X1) = additive_identity ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.9.1.0',plain,
% 0.58/1.00 ( multiply(additive_identity,X1) = additive_identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.58/1.00 cnf('0.9.2.0',plain,
% 0.58/1.00 ( multiply(additive_identity,X1) = additive_identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_9]).
% 0.58/1.00 cnf('0.10.0.0',axiom,
% 0.58/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.10.1.0',plain,
% 0.58/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/1.00 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.58/1.00 cnf('0.10.2.0',plain,
% 0.58/1.00 ( add(X1,X2) = add(X2,X1) ),
% 0.58/1.00 inference(activate,[status(thm)],['0.10.1.0']),
% 0.58/1.00 [equation_1]).
% 0.58/1.00 cnf('0.11.0.0',axiom,
% 0.58/1.00 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.11.1.0',plain,
% 0.58/1.00 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/1.00 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.58/1.00 cnf('0.11.2.0',plain,
% 0.58/1.00 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_10]).
% 0.58/1.00 cnf('0.12.0.0',axiom,
% 0.58/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.12.1.0',plain,
% 0.58/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/1.00 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.58/1.00 cnf('0.12.2.0',plain,
% 0.58/1.00 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_11]).
% 0.58/1.00 cnf('0.14.0.0',axiom,
% 0.58/1.00 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019')).
% 0.58/1.00 cnf('0.14.1.0',plain,
% 0.58/1.00 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.58/1.00 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.58/1.00 cnf('0.14.1.1',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) = associator(X1,X2,X3) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.14.1.0','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.14.2.0',plain,
% 0.58/1.00 ( associator(X1,X2,X3) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.14.1.1',theory(equality)]),
% 0.58/1.00 [x,rule_13]).
% 0.58/1.00 cnf('0.16.0.0',plain,
% 0.58/1.00 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.16.0.1',plain,
% 0.58/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.16.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.16.1.0',plain,
% 0.58/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.58/1.00 [weight('<6,12,11,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.16.2.0',plain,
% 0.58/1.00 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_15]).
% 0.58/1.00 cnf('0.17.0.0',plain,
% 0.58/1.00 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.16.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.1','L')]).
% 0.58/1.00 cnf('0.17.1.0',plain,
% 0.58/1.00 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.58/1.00 [weight('<6,16,3,[1,0,0,3]>')]).
% 0.58/1.00 cnf('0.17.2.0',plain,
% 0.58/1.00 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_16]).
% 0.58/1.00 cnf('0.18.0.0',plain,
% 0.58/1.00 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.16.2.0','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.18.1.0',plain,
% 0.58/1.00 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.58/1.00 [weight('<6,16,10,[1,0,0,2]>')]).
% 0.58/1.00 cnf('0.18.2.0',plain,
% 0.58/1.00 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_17]).
% 0.58/1.00 cnf('0.19.0.0',plain,
% 0.58/1.00 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.19.1.0',plain,
% 0.58/1.00 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/1.00 [weight('<6,17,10,[1,0,0,3]>')]).
% 0.58/1.00 cnf('0.19.2.0',plain,
% 0.58/1.00 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_18]).
% 0.58/1.00 cnf('0.20.0.0',plain,
% 0.58/1.00 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.19.2.0','0.17.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.20.1.0',plain,
% 0.58/1.00 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.58/1.00 [weight('<6,19,17,[1,0,0,3]>')]).
% 0.58/1.00 cnf('0.20.1.1',plain,
% 0.58/1.00 ( additive_inverse(X1) = add(X2,additive_inverse(add(X1,X2))) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.20.1.0','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.20.2.0',plain,
% 0.58/1.00 ( add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 0.58/1.00 [x,rule_19]).
% 0.58/1.00 cnf('0.21.0.0',plain,
% 0.58/1.00 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.20.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.21.1.0',plain,
% 0.58/1.00 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.58/1.00 [weight('<4,20,17,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.21.2.0',plain,
% 0.58/1.00 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_20]).
% 0.58/1.00 cnf('0.24.0.0',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = multiply(X1,additive_identity) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.24.0.1',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.24.0.0','0.7.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.24.1.0',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.58/1.00 [weight('<8,12,6,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.24.2.0',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X2))) = additive_identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_23]).
% 0.58/1.00 cnf('0.25.0.0',plain,
% 0.58/1.00 ( multiply(X1,additive_inverse(X2)) = add(additive_inverse(multiply(X1,X2)),additive_identity) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.24.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.25.0.1',plain,
% 0.58/1.00 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.25.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.25.1.0',plain,
% 0.58/1.00 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.58/1.00 [weight('<4,24,17,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.25.2.0',plain,
% 0.58/1.00 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_24]).
% 0.58/1.00 cnf('0.28.0.0',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = multiply(additive_identity,X2) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.8.2.0','0.12.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.28.0.1',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.28.0.0','0.9.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.28.1.0',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.58/1.00 [weight('<8,12,8,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.28.2.0',plain,
% 0.58/1.00 ( add(multiply(X1,X2),multiply(additive_inverse(X1),X2)) = additive_identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_27]).
% 0.58/1.00 cnf('0.29.0.0',plain,
% 0.58/1.00 ( multiply(additive_inverse(X1),X2) = add(additive_inverse(multiply(X1,X2)),additive_identity) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.29.0.1',plain,
% 0.58/1.00 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.29.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.29.1.0',plain,
% 0.58/1.00 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.58/1.00 [weight('<4,28,17,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.29.2.0',plain,
% 0.58/1.00 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_28]).
% 0.58/1.00 cnf('0.30.0.0',plain,
% 0.58/1.00 ( add(X1,add(add(X2,additive_inverse(X1)),X3)) = add(X2,X3) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.11.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.30.0.1',plain,
% 0.58/1.00 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.30.0.0','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.30.1.0',plain,
% 0.58/1.00 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.58/1.00 [weight('<8,18,11,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.30.2.0',plain,
% 0.58/1.00 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_29]).
% 0.58/1.00 cnf('1.0.0.0',conjecture,
% 0.58/1.00 ( add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) = additive_identity ),
% 0.58/1.00 file('/tmp/WALDMEISTER_2928_n019',conjecture_1)).
% 0.58/1.00 cnf('1.0.0.1',plain,
% 0.58/1.00 ( add(associator(multiply(a,b),c,d),add(associator(a,b,multiply(c,d)),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.2',plain,
% 0.58/1.00 ( add(add(associator(a,b,multiply(c,d)),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))),associator(multiply(a,b),c,d)) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.3',plain,
% 0.58/1.00 ( add(associator(a,b,multiply(c,d)),add(additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d))),associator(multiply(a,b),c,d))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.2','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.4',plain,
% 0.58/1.00 ( add(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(a,b),multiply(c,d))),add(additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d))),associator(multiply(a,b),c,d))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.3','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('1.0.0.5',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d))),associator(multiply(a,b),c,d)))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.4','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.6',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(add(additive_inverse(multiply(associator(a,b,c),d)),additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))))),associator(multiply(a,b),c,d)))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.5','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.7',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(associator(a,b,c),d)),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.6','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.8',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d)),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.7','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1.1.1','L')]).
% 0.58/1.00 cnf('1.0.0.9',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(add(multiply(additive_inverse(multiply(a,multiply(b,c))),d),multiply(multiply(multiply(a,b),c),d))),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.8','0.8.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1.1','L')]).
% 0.58/1.00 cnf('1.0.0.10',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),additive_inverse(multiply(additive_inverse(multiply(a,multiply(b,c))),d))),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.9','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.11',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(add(additive_inverse(multiply(additive_inverse(multiply(a,multiply(b,c))),d)),additive_inverse(multiply(multiply(multiply(a,b),c),d))),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.10','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.12',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(additive_inverse(multiply(a,multiply(b,c))),d)),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d)))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.11','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.13',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(additive_inverse(multiply(multiply(a,multiply(b,c)),d))),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d)))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.12','0.29.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1.1','L')]).
% 0.58/1.00 cnf('1.0.0.14',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d)))),associator(multiply(a,b),c,d)))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.13','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.15',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(add(additive_inverse(multiply(a,associator(b,c,d))),additive_inverse(associator(a,multiply(b,c),d))),associator(multiply(a,b),c,d)))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.14','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.16',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(multiply(a,associator(b,c,d))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.15','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.17',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.16','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1.1.2','L')]).
% 0.58/1.00 cnf('1.0.0.18',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),multiply(a,multiply(multiply(b,c),d)))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.17','0.6.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1.1','L')]).
% 0.58/1.00 cnf('1.0.0.19',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),additive_inverse(multiply(a,additive_inverse(multiply(b,multiply(c,d)))))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.18','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.20',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(add(additive_inverse(multiply(a,additive_inverse(multiply(b,multiply(c,d))))),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.19','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.21',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(multiply(a,additive_inverse(multiply(b,multiply(c,d))))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.20','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.22',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(additive_inverse(additive_inverse(multiply(a,multiply(b,multiply(c,d))))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.21','0.25.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1.1','L')]).
% 0.58/1.00 cnf('1.0.0.23',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(additive_inverse(associator(a,multiply(b,c),d)),associator(multiply(a,b),c,d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.22','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.24',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(multiply(a,multiply(b,c)),d))),associator(multiply(a,b),c,d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.23','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.2.2.1.1','L')]).
% 0.58/1.00 cnf('1.0.0.25',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),additive_inverse(additive_inverse(multiply(a,multiply(multiply(b,c),d))))),associator(multiply(a,b),c,d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.24','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.26',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(add(additive_inverse(additive_inverse(multiply(a,multiply(multiply(b,c),d)))),additive_inverse(multiply(multiply(a,multiply(b,c)),d))),associator(multiply(a,b),c,d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.25','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.2.2.1','L')]).
% 0.58/1.00 cnf('1.0.0.27',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(additive_inverse(additive_inverse(multiply(a,multiply(multiply(b,c),d)))),add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),associator(multiply(a,b),c,d))))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.26','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.28',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),associator(multiply(a,b),c,d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.27','0.16.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.29',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(multiply(multiply(a,b),c),d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.28','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.30',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)))),additive_inverse(multiply(multiply(multiply(a,b),c),d)))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.29','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.31',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,multiply(b,multiply(c,d))),add(add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d))),additive_inverse(multiply(multiply(multiply(a,b),c),d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.30','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.32',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),add(add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)),additive_inverse(multiply(multiply(multiply(a,b),c),d)))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.31','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.33',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,multiply(b,multiply(c,d))),add(add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)),additive_inverse(multiply(multiply(multiply(a,b),c),d)))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.32','0.30.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.34',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,multiply(b,multiply(c,d))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(multiply(a,b),c),d))))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.33','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2.2','L')]).
% 0.58/1.00 cnf('1.0.0.35',plain,
% 0.58/1.00 ( add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(a,multiply(b,multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(multiply(a,b),c),d))))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.34','0.30.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('1.0.0.36',plain,
% 0.58/1.00 ( add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(multiply(a,b),c),d))) = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.35','0.17.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.37',plain,
% 0.58/1.00 ( additive_identity = additive_identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.36','0.12.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.38',plain,
% 0.58/1.00 ( $true ),
% 0.58/1.00 inference(trivial,[status(thm)],['1.0.0.37',theory(equality)]),
% 0.58/1.00 [conjecture_1]).
% 0.58/1.00
% 0.58/1.00 Proved Goals:
% 0.58/1.00 No. 1: add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) ?= additive_identity joined, current: additive_identity = additive_identity
% 0.58/1.00 1 goal was specified, which was proved.
% 0.58/1.00 % SZS output end CNFRefutation
% 0.58/1.00 #END OF PROOF
% 0.58/1.00
% 0.58/1.00 Problem WALDMEISTER_2928_n019
% 0.58/1.00 CPs.gen 277
% 0.58/1.00 CPs.reexp 0
% 0.58/1.00 Select 49
% 0.58/1.00 R 29
% 0.58/1.00 E 1
% 0.58/1.00 vsize 6.6M
% 0.58/1.00 rss 3.9M
% 0.58/1.00 process.time 0.006s
% 0.58/1.00 wallclock.time 0.006s
% 0.58/1.00 status S
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 Waldmeister states: Goal proved.
% 0.58/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------