TSTP Solution File: RNG026-7 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 0.56s 0.97s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n027.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 07:20:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 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
% 0.56/0.96
% 0.56/0.96 Detected structure: NichtassoziativerRing
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.97 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
% 0.56/0.97 goal joined
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97 #START OF PROOF
% 0.56/0.97 % SZS output start CNFRefutation
% 0.56/0.97 cnf('0.2.0.0',axiom,
% 0.56/0.97 ( X1 = add(additive_identity,X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.2.1.0',plain,
% 0.56/0.97 ( X1 = add(additive_identity,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.2.2.0',plain,
% 0.56/0.97 ( add(additive_identity,X1) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_2]).
% 0.56/0.97 cnf('0.3.0.0',axiom,
% 0.56/0.97 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.3.1.0',plain,
% 0.56/0.97 ( X1 = additive_inverse(additive_inverse(X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.56/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.3.2.0',plain,
% 0.56/0.97 ( additive_inverse(additive_inverse(X1)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_3]).
% 0.56/0.97 cnf('0.7.0.0',axiom,
% 0.56/0.97 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.7.1.0',plain,
% 0.56/0.97 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.97 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.56/0.97 cnf('0.7.2.0',plain,
% 0.56/0.97 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_7]).
% 0.56/0.97 cnf('0.8.0.0',axiom,
% 0.56/0.97 ( multiply(X1,add(X2,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.8.1.0',plain,
% 0.56/0.97 ( multiply(X1,add(X2,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.97 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.56/0.97 cnf('0.8.1.1',plain,
% 0.56/0.97 ( add(multiply(X1,X2),multiply(X1,additive_inverse(X3))) = add(multiply(X1,X2),additive_inverse(multiply(X1,X3))) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.8.1.0','0.7.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.8.2.0',plain,
% 0.56/0.97 ( multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 0.56/0.97 [u,rule_8]).
% 0.56/0.97 cnf('0.10.0.0',axiom,
% 0.56/0.97 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.10.1.0',plain,
% 0.56/0.97 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.56/0.97 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.56/0.97 cnf('0.10.2.0',plain,
% 0.56/0.97 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_10]).
% 0.56/0.97 cnf('0.11.0.0',axiom,
% 0.56/0.97 ( multiply(add(X1,additive_inverse(X2)),X3) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.11.1.0',plain,
% 0.56/0.97 ( multiply(add(X1,additive_inverse(X2)),X3) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/0.97 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.56/0.97 cnf('0.11.1.1',plain,
% 0.56/0.97 ( add(multiply(X1,X3),multiply(additive_inverse(X2),X3)) = add(multiply(X1,X3),additive_inverse(multiply(X2,X3))) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.11.1.0','0.10.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.11.2.0',plain,
% 0.56/0.97 ( multiply(additive_inverse(X1),X2) = additive_inverse(multiply(X1,X2)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.56/0.97 [u,rule_11]).
% 0.56/0.97 cnf('0.14.0.0',axiom,
% 0.56/0.97 ( add(X1,X2) = add(X2,X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.14.1.0',plain,
% 0.56/0.97 ( add(X1,X2) = add(X2,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.56/0.97 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.56/0.97 cnf('0.14.2.0',plain,
% 0.56/0.97 ( add(X1,X2) = add(X2,X1) ),
% 0.56/0.97 inference(activate,[status(thm)],['0.14.1.0']),
% 0.56/0.97 [equation_1]).
% 0.56/0.97 cnf('0.15.0.0',axiom,
% 0.56/0.97 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.15.1.0',plain,
% 0.56/0.97 ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.56/0.97 [weight('<17,0,0,[0,0,0,18]>')]).
% 0.56/0.97 cnf('0.15.2.0',plain,
% 0.56/0.97 ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_14]).
% 0.56/0.97 cnf('0.16.0.0',axiom,
% 0.56/0.97 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.16.1.0',plain,
% 0.56/0.97 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.56/0.97 [weight('<18,0,0,[0,0,0,19]>')]).
% 0.56/0.97 cnf('0.16.2.0',plain,
% 0.56/0.97 ( add(X1,additive_inverse(X1)) = additive_identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_15]).
% 0.56/0.97 cnf('0.18.0.0',axiom,
% 0.56/0.97 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027')).
% 0.56/0.97 cnf('0.18.1.0',plain,
% 0.56/0.97 ( add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))) = associator(X1,X2,X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.56/0.97 [weight('<20,0,0,[0,0,0,21]>')]).
% 0.56/0.97 cnf('0.18.1.1',plain,
% 0.56/0.97 ( add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) = associator(X1,X2,X3) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.18.1.0','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.18.2.0',plain,
% 0.56/0.97 ( associator(X1,X2,X3) = add(additive_inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.56/0.97 [x,rule_17]).
% 0.56/0.97 cnf('0.20.0.0',plain,
% 0.56/0.97 ( add(X1,add(additive_inverse(X1),X2)) = add(additive_identity,X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.15.2.0','0.16.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.20.0.1',plain,
% 0.56/0.97 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.20.1.0',plain,
% 0.56/0.97 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.56/0.97 [weight('<6,16,15,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.20.2.0',plain,
% 0.56/0.97 ( add(X1,add(additive_inverse(X1),X2)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_19]).
% 0.56/0.97 cnf('0.21.0.0',plain,
% 0.56/0.97 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1','L')]).
% 0.56/0.97 cnf('0.21.1.0',plain,
% 0.56/0.97 ( X1 = add(additive_inverse(X2),add(X2,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.56/0.97 [weight('<6,20,3,[1,0,0,3]>')]).
% 0.56/0.97 cnf('0.21.2.0',plain,
% 0.56/0.97 ( add(additive_inverse(X1),add(X1,X2)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_20]).
% 0.56/0.97 cnf('0.22.0.0',plain,
% 0.56/0.97 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.20.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.22.1.0',plain,
% 0.56/0.97 ( X1 = add(X2,add(X1,additive_inverse(X2))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.56/0.97 [weight('<6,20,14,[1,0,0,2]>')]).
% 0.56/0.97 cnf('0.22.2.0',plain,
% 0.56/0.97 ( add(X1,add(X2,additive_inverse(X1))) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_21]).
% 0.56/0.97 cnf('0.23.0.0',plain,
% 0.56/0.97 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.21.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.23.1.0',plain,
% 0.56/0.97 ( X1 = add(additive_inverse(X2),add(X1,X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.56/0.97 [weight('<6,21,14,[1,0,0,3]>')]).
% 0.56/0.97 cnf('0.23.2.0',plain,
% 0.56/0.97 ( add(additive_inverse(X1),add(X2,X1)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_22]).
% 0.56/0.97 cnf('0.24.0.0',plain,
% 0.56/0.97 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.23.2.0','0.21.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.24.1.0',plain,
% 0.56/0.97 ( additive_inverse(X1) = add(additive_inverse(add(X1,X2)),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.56/0.97 [weight('<6,23,21,[1,0,0,3]>')]).
% 0.56/0.97 cnf('0.24.1.1',plain,
% 0.56/0.97 ( additive_inverse(X1) = add(X2,additive_inverse(add(X1,X2))) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.24.1.0','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.24.2.0',plain,
% 0.56/0.97 ( add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 0.56/0.97 [x,rule_23]).
% 0.56/0.97 cnf('0.25.0.0',plain,
% 0.56/0.97 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.21.2.0','0.24.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.25.1.0',plain,
% 0.56/0.97 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.56/0.97 [weight('<4,24,21,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.25.2.0',plain,
% 0.56/0.97 ( additive_inverse(add(X1,X2)) = add(additive_inverse(X2),additive_inverse(X1)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_24]).
% 0.56/0.97 cnf('0.28.0.0',plain,
% 0.56/0.97 ( add(X1,add(add(X2,additive_inverse(X1)),X3)) = add(X2,X3) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.15.2.0','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.28.0.1',plain,
% 0.56/0.97 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.28.0.0','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.28.1.0',plain,
% 0.56/0.97 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.56/0.97 [weight('<8,22,15,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.28.2.0',plain,
% 0.56/0.97 ( add(X1,add(X2,add(additive_inverse(X1),X3))) = add(X2,X3) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_27]).
% 0.56/0.97 cnf('1.0.0.0',conjecture,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 file('/tmp/WALDMEISTER_27517_n027',conjecture_1)).
% 0.56/0.97 cnf('1.0.0.1',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.2',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.3',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.2','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.4',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.3','0.18.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('1.0.0.5',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.4','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.6',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.5','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.7',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.6','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.8',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.7','0.18.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1.1.1','L')]).
% 0.56/0.97 cnf('1.0.0.9',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.8','0.10.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1.1','L')]).
% 0.56/0.97 cnf('1.0.0.10',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.9','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.11',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.10','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.12',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.11','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.13',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.12','0.11.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1.1','L')]).
% 0.56/0.97 cnf('1.0.0.14',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.13','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.15',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.14','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.16',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.15','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.17',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.16','0.18.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1.1.2','L')]).
% 0.56/0.97 cnf('1.0.0.18',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.17','0.7.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1.1','L')]).
% 0.56/0.97 cnf('1.0.0.19',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.18','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.20',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.19','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.21',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.20','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.22',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.21','0.8.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1.1','L')]).
% 0.56/0.97 cnf('1.0.0.23',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.22','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.24',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.23','0.18.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.2.2.1.1','L')]).
% 0.56/0.97 cnf('1.0.0.25',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.24','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.26',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.25','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.2.2.1','L')]).
% 0.56/0.97 cnf('1.0.0.27',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.26','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.28',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.27','0.20.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.29',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.28','0.18.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.30',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.29','0.14.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.31',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.30','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.32',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.31','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.33',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.32','0.28.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.34',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.33','0.15.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2.2','L')]).
% 0.56/0.97 cnf('1.0.0.35',plain,
% 0.56/0.97 ( 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 ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.34','0.28.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('1.0.0.36',plain,
% 0.56/0.97 ( add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(multiply(a,b),c),d))) = additive_identity ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.35','0.21.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.37',plain,
% 0.56/0.97 ( additive_identity = additive_identity ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.36','0.16.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.38',plain,
% 0.56/0.97 ( $true ),
% 0.56/0.97 inference(trivial,[status(thm)],['1.0.0.37',theory(equality)]),
% 0.56/0.97 [conjecture_1]).
% 0.56/0.97
% 0.56/0.97 Proved Goals:
% 0.56/0.97 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
% 0.56/0.97 1 goal was specified, which was proved.
% 0.56/0.97 % SZS output end CNFRefutation
% 0.56/0.97 #END OF PROOF
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_27517_n027
% 0.56/0.97 CPs.gen 225
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 59
% 0.56/0.97 R 27
% 0.56/0.97 E 1
% 0.56/0.97 vsize 6.6M
% 0.56/0.97 rss 3.9M
% 0.56/0.97 process.time 0.005s
% 0.56/0.97 wallclock.time 0.005s
% 0.56/0.97 status S
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Waldmeister states: Goal proved.
% 0.56/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------