TSTP Solution File: BOO015-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 23:52:51 EDT 2022
% Result : Unsatisfiable 0.57s 0.98s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n020.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 23:46:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) inverse(c) ?=? d
% 0.57/0.97
% 0.57/0.97 Detected structure: BoolescheAlgebra
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.98 joined goal: 1 inverse(c) ?= d to d
% 0.57/0.98 goal joined
% 0.57/0.98 % SZS status Unsatisfiable
% 0.57/0.98 #START OF PROOF
% 0.57/0.98 % SZS output start CNFRefutation
% 0.57/0.98 cnf('0.1.0.0',axiom,
% 0.57/0.98 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.1.1.0',plain,
% 0.57/0.98 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.1.2.0',plain,
% 0.57/0.98 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_1]).
% 0.57/0.98 cnf('0.2.0.0',axiom,
% 0.57/0.98 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.2.1.0',plain,
% 0.57/0.98 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.2.2.0',plain,
% 0.57/0.98 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_2]).
% 0.57/0.98 cnf('0.3.0.0',axiom,
% 0.57/0.98 ( X1 = add(X1,additive_identity) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.3.1.0',plain,
% 0.57/0.98 ( X1 = add(X1,additive_identity) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.98 cnf('0.3.2.0',plain,
% 0.57/0.98 ( add(X1,additive_identity) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_3]).
% 0.57/0.98 cnf('0.4.0.0',axiom,
% 0.57/0.98 ( X1 = add(additive_identity,X1) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.4.1.0',plain,
% 0.57/0.98 ( X1 = add(additive_identity,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.98 cnf('0.4.2.0',plain,
% 0.57/0.98 ( add(additive_identity,X1) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_4]).
% 0.57/0.98 cnf('0.5.0.0',axiom,
% 0.57/0.98 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.5.1.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.98 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.57/0.98 cnf('0.5.2.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.98 inference(activate,[status(thm)],['0.5.1.0']),
% 0.57/0.98 [equation_1]).
% 0.57/0.98 cnf('0.6.0.0',axiom,
% 0.57/0.98 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.6.1.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.57/0.98 cnf('0.6.2.0',plain,
% 0.57/0.98 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_5]).
% 0.57/0.98 cnf('0.7.0.0',axiom,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.7.1.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.98 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.57/0.98 cnf('0.7.2.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_6]).
% 0.57/0.98 cnf('0.8.0.0',axiom,
% 0.57/0.98 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.8.1.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.98 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.57/0.98 cnf('0.8.2.0',plain,
% 0.57/0.98 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_7]).
% 0.57/0.98 cnf('0.9.0.0',axiom,
% 0.57/0.98 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.9.1.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.98 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.57/0.98 cnf('0.9.2.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_8]).
% 0.57/0.98 cnf('0.10.0.0',axiom,
% 0.57/0.98 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.10.1.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.57/0.98 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.57/0.98 cnf('0.10.2.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_9]).
% 0.57/0.98 cnf('0.11.0.0',axiom,
% 0.57/0.98 ( multiply(a,b) = c ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.11.1.0',plain,
% 0.57/0.98 ( multiply(a,b) = c ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.98 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.57/0.98 cnf('0.11.1.1',plain,
% 0.57/0.98 ( multiply(b,a) = c ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.11.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.11.2.0',plain,
% 0.57/0.98 ( multiply(b,a) = c ),
% 0.57/0.98 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_10]).
% 0.57/0.98 cnf('0.12.0.0',axiom,
% 0.57/0.98 ( add(X1,X2) = add(X2,X1) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.12.1.0',plain,
% 0.57/0.98 ( add(X1,X2) = add(X2,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.98 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.57/0.98 cnf('0.12.2.0',plain,
% 0.57/0.98 ( add(X1,X2) = add(X2,X1) ),
% 0.57/0.98 inference(activate,[status(thm)],['0.12.1.0']),
% 0.57/0.98 [equation_2]).
% 0.57/0.98 cnf('0.13.0.0',axiom,
% 0.57/0.98 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.13.1.0',plain,
% 0.57/0.98 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.57/0.98 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.57/0.98 cnf('0.13.2.0',plain,
% 0.57/0.98 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_11]).
% 0.57/0.98 cnf('0.14.0.0',axiom,
% 0.57/0.98 ( add(inverse(a),inverse(b)) = d ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020')).
% 0.57/0.98 cnf('0.14.1.0',plain,
% 0.57/0.98 ( add(inverse(a),inverse(b)) = d ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.57/0.98 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.57/0.98 cnf('0.14.1.1',plain,
% 0.57/0.98 ( add(inverse(b),inverse(a)) = d ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.14.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.14.2.0',plain,
% 0.57/0.98 ( add(inverse(b),inverse(a)) = d ),
% 0.57/0.98 inference(orient,[status(thm)],['0.14.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_12]).
% 0.57/0.98 cnf('0.17.0.0',plain,
% 0.57/0.98 ( add(multiply(additive_identity,X1),X2) = multiply(X2,add(X1,X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.17.1.0',plain,
% 0.57/0.98 ( add(multiply(additive_identity,X1),X2) = multiply(X2,add(X1,X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.57/0.98 [weight('<5,9,4,[1,0,0,1]>')]).
% 0.57/0.98 cnf('0.17.2.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X1)) = add(multiply(additive_identity,X2),X1) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_15]).
% 0.57/0.98 cnf('0.18.0.0',plain,
% 0.57/0.98 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.18.1.0',plain,
% 0.57/0.98 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.57/0.98 [weight('<5,10,3,[1,0,0,1]>')]).
% 0.57/0.98 cnf('0.18.2.0',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_16]).
% 0.57/0.98 cnf('0.19.0.0',plain,
% 0.57/0.98 ( multiply(b,add(a,X1)) = add(c,multiply(b,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.19.1.0',plain,
% 0.57/0.98 ( multiply(b,add(a,X1)) = add(c,multiply(b,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.57/0.98 [weight('<5,11,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.19.2.0',plain,
% 0.57/0.98 ( multiply(b,add(a,X1)) = add(c,multiply(b,X1)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_17]).
% 0.57/0.98 cnf('0.21.0.0',plain,
% 0.57/0.98 ( multiply(add(b,X1),a) = add(c,multiply(X1,a)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.21.1.0',plain,
% 0.57/0.98 ( multiply(add(b,X1),a) = add(c,multiply(X1,a)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.57/0.98 [weight('<5,11,8,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.21.1.1',plain,
% 0.57/0.98 ( multiply(a,add(b,X1)) = add(c,multiply(X1,a)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.21.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.21.2.0',plain,
% 0.57/0.98 ( multiply(a,add(b,X1)) = add(c,multiply(X1,a)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.21.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_19]).
% 0.57/0.98 cnf('0.23.0.0',plain,
% 0.57/0.98 ( add(multiply(additive_identity,X1),multiplicative_identity) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.17.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.23.1.0',plain,
% 0.57/0.98 ( add(multiply(additive_identity,X1),multiplicative_identity) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.57/0.98 [weight('<5,17,2,[1,0,0,0]>')]).
% 0.57/0.98 cnf('0.23.1.1',plain,
% 0.57/0.98 ( add(multiplicative_identity,multiply(additive_identity,X1)) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.23.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.23.2.0',plain,
% 0.57/0.98 ( add(multiplicative_identity,multiply(additive_identity,X1)) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.23.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_21]).
% 0.57/0.98 cnf('0.29.0.0',plain,
% 0.57/0.98 ( add(X1,multiplicative_identity) = add(multiplicative_identity,multiply(X1,additive_identity)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.23.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.29.1.0',plain,
% 0.57/0.98 ( add(X1,multiplicative_identity) = add(multiplicative_identity,multiply(X1,additive_identity)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.57/0.98 [weight('<5,23,5,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.29.2.0',plain,
% 0.57/0.98 ( add(multiplicative_identity,multiply(X1,additive_identity)) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_27]).
% 0.57/0.98 cnf('0.30.0.0',plain,
% 0.57/0.98 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.30.0.1',plain,
% 0.57/0.98 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.30.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.30.1.0',plain,
% 0.57/0.98 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.57/0.98 [weight('<6,7,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.30.2.0',plain,
% 0.57/0.98 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_28]).
% 0.57/0.98 cnf('0.31.0.0',plain,
% 0.57/0.98 ( multiply(X1,additive_identity) = multiply(X1,inverse(X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.30.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.31.0.1',plain,
% 0.57/0.98 ( multiply(X1,additive_identity) = additive_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.31.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.31.1.0',plain,
% 0.57/0.98 ( multiply(X1,additive_identity) = additive_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.57/0.98 [weight('<3,30,3,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.31.2.0',plain,
% 0.57/0.98 ( multiply(X1,additive_identity) = additive_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_29]).
% 0.57/0.98 cnf('0.32.0.0',plain,
% 0.57/0.98 ( add(multiplicative_identity,multiply(X1,additive_identity)) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 0.57/0.98 cnf('0.32.0.1',plain,
% 0.57/0.98 ( add(multiplicative_identity,additive_identity) = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.32.0.2',plain,
% 0.57/0.98 ( multiplicative_identity = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.32.0.1','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.32.1.0',plain,
% 0.57/0.98 ( multiplicative_identity = add(X1,multiplicative_identity) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.32.0.2']),
% 0.57/0.98 [weight('<3,29,31,[0,0,0,0]>')]).
% 0.57/0.98 cnf('0.32.2.0',plain,
% 0.57/0.98 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_30]).
% 0.57/0.98 cnf('0.33.0.0',plain,
% 0.57/0.98 ( additive_identity = multiply(additive_identity,X1) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.31.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.33.1.0',plain,
% 0.57/0.98 ( additive_identity = multiply(additive_identity,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.57/0.98 [weight('<3,31,5,[1,0,0,0]>')]).
% 0.57/0.98 cnf('0.33.2.0',plain,
% 0.57/0.98 ( multiply(additive_identity,X1) = additive_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_31]).
% 0.57/0.98 cnf('0.35.0.0',plain,
% 0.57/0.98 ( add(c,multiply(b,multiplicative_identity)) = multiply(b,multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.19.2.0','0.32.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.35.0.1',plain,
% 0.57/0.98 ( add(c,b) = multiply(b,multiplicative_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.35.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.35.0.2',plain,
% 0.57/0.98 ( add(c,b) = b ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.35.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.35.1.0',plain,
% 0.57/0.98 ( add(c,b) = b ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.57/0.98 [weight('<3,32,19,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.35.2.0',plain,
% 0.57/0.98 ( add(c,b) = b ),
% 0.57/0.98 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_33]).
% 0.57/0.98 cnf('0.36.0.0',plain,
% 0.57/0.98 ( add(c,multiply(multiplicative_identity,a)) = multiply(a,multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.21.2.0','0.32.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.36.0.1',plain,
% 0.57/0.98 ( add(c,a) = multiply(a,multiplicative_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.36.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.36.0.2',plain,
% 0.57/0.98 ( add(c,a) = a ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.36.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.36.1.0',plain,
% 0.57/0.98 ( add(c,a) = a ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.36.0.2']),
% 0.57/0.98 [weight('<3,32,21,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.36.2.0',plain,
% 0.57/0.98 ( add(c,a) = a ),
% 0.57/0.98 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_34]).
% 0.57/0.98 cnf('0.38.0.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X1)) = add(multiply(additive_identity,X2),X1) ),
% 0.57/0.98 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.57/0.98 cnf('0.38.0.1',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X1)) = add(additive_identity,X1) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.38.0.0','0.33.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.1','L')]).
% 0.57/0.98 cnf('0.38.0.2',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.38.0.1','0.4.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.38.1.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.38.0.2']),
% 0.57/0.98 [weight('<5,17,33,[0,0,0,0]>')]).
% 0.57/0.98 cnf('0.38.2.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_36]).
% 0.57/0.98 cnf('0.39.0.0',plain,
% 0.57/0.98 ( X1 = multiply(X1,X1) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.38.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.39.1.0',plain,
% 0.57/0.98 ( X1 = multiply(X1,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.57/0.98 [weight('<3,38,4,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.39.2.0',plain,
% 0.57/0.98 ( multiply(X1,X1) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_37]).
% 0.57/0.98 cnf('0.40.0.0',plain,
% 0.57/0.98 ( inverse(a) = multiply(inverse(a),d) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.38.2.0','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.40.1.0',plain,
% 0.57/0.98 ( inverse(a) = multiply(inverse(a),d) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.57/0.98 [weight('<4,38,14,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.40.1.1',plain,
% 0.57/0.98 ( inverse(a) = multiply(d,inverse(a)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.40.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.40.2.0',plain,
% 0.57/0.98 ( multiply(d,inverse(a)) = inverse(a) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_38]).
% 0.57/0.98 cnf('0.41.0.0',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.57/0.98 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 0.57/0.98 cnf('0.41.0.1',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = add(X1,additive_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.41.0.0','0.33.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.2','L')]).
% 0.57/0.98 cnf('0.41.0.2',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.41.0.1','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.41.1.0',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.41.0.2']),
% 0.57/0.98 [weight('<5,18,33,[0,0,0,0]>')]).
% 0.57/0.98 cnf('0.41.2.0',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_39]).
% 0.57/0.98 cnf('0.42.0.0',plain,
% 0.57/0.98 ( c = multiply(c,b) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.41.2.0','0.35.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.42.1.0',plain,
% 0.57/0.98 ( c = multiply(c,b) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.57/0.98 [weight('<3,41,35,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.42.2.0',plain,
% 0.57/0.98 ( multiply(c,b) = c ),
% 0.57/0.98 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_40]).
% 0.57/0.98 cnf('0.43.0.0',plain,
% 0.57/0.98 ( c = multiply(c,a) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.41.2.0','0.36.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.43.1.0',plain,
% 0.57/0.98 ( c = multiply(c,a) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.57/0.98 [weight('<3,41,36,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.43.2.0',plain,
% 0.57/0.98 ( multiply(c,a) = c ),
% 0.57/0.98 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_41]).
% 0.57/0.98 cnf('0.44.0.0',plain,
% 0.57/0.98 ( inverse(b) = multiply(inverse(b),d) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.41.2.0','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.44.1.0',plain,
% 0.57/0.98 ( inverse(b) = multiply(inverse(b),d) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.57/0.98 [weight('<4,41,14,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.44.1.1',plain,
% 0.57/0.98 ( inverse(b) = multiply(d,inverse(b)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.44.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.44.2.0',plain,
% 0.57/0.98 ( multiply(d,inverse(b)) = inverse(b) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.44.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_42]).
% 0.57/0.98 cnf('0.45.0.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(inverse(X1))) = multiply(X1,multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.30.2.0','0.13.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.45.0.1',plain,
% 0.57/0.98 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.45.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.45.1.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.57/0.98 [weight('<5,30,13,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.45.2.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_43]).
% 0.57/0.98 cnf('0.53.0.0',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.39.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.53.1.0',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.57/0.98 [weight('<5,39,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.53.1.1',plain,
% 0.57/0.98 ( X1 = add(X1,multiply(X1,X2)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.53.1.0','0.41.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.53.2.0',plain,
% 0.57/0.98 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_51]).
% 0.57/0.98 cnf('0.57.0.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.8.2.0','0.39.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.57.1.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),X1) = add(X1,multiply(X2,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.57/0.98 [weight('<5,39,8,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.57.1.1',plain,
% 0.57/0.98 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X2,X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.57.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.57.1.2',plain,
% 0.57/0.98 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.57.1.1','0.41.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.57.2.0',plain,
% 0.57/0.98 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.57.1.2',theory(equality)]),
% 0.57/0.98 [x,rule_55]).
% 0.57/0.98 cnf('0.58.0.0',plain,
% 0.57/0.98 ( multiply(c,add(b,X1)) = add(c,multiply(c,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.42.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.58.1.0',plain,
% 0.57/0.98 ( multiply(c,add(b,X1)) = add(c,multiply(c,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.57/0.98 [weight('<5,42,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.58.1.1',plain,
% 0.57/0.98 ( multiply(c,add(b,X1)) = c ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.58.1.0','0.53.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.58.2.0',plain,
% 0.57/0.98 ( multiply(c,add(b,X1)) = c ),
% 0.57/0.98 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_56]).
% 0.57/0.98 cnf('0.62.0.0',plain,
% 0.57/0.98 ( multiply(c,add(a,X1)) = add(c,multiply(c,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.43.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.62.1.0',plain,
% 0.57/0.98 ( multiply(c,add(a,X1)) = add(c,multiply(c,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.57/0.98 [weight('<5,43,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.62.1.1',plain,
% 0.57/0.98 ( multiply(c,add(a,X1)) = c ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.62.1.0','0.53.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.62.2.0',plain,
% 0.57/0.98 ( multiply(c,add(a,X1)) = c ),
% 0.57/0.98 inference(orient,[status(thm)],['0.62.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_60]).
% 0.57/0.98 cnf('0.73.0.0',plain,
% 0.57/0.98 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.57.2.0','0.45.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.73.1.0',plain,
% 0.57/0.98 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.57/0.98 [weight('<5,57,45,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.73.1.1',plain,
% 0.57/0.98 ( inverse(inverse(X1)) = add(X1,inverse(inverse(X1))) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.73.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.73.2.0',plain,
% 0.57/0.98 ( add(X1,inverse(inverse(X1))) = inverse(inverse(X1)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.73.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_71]).
% 0.57/0.98 cnf('0.74.0.0',plain,
% 0.57/0.98 ( add(b,X1) = add(add(b,X1),c) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.57.2.0','0.58.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.74.1.0',plain,
% 0.57/0.98 ( add(b,X1) = add(add(b,X1),c) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.57/0.98 [weight('<5,58,57,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.74.1.1',plain,
% 0.57/0.98 ( add(b,X1) = add(c,add(b,X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.74.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.74.2.0',plain,
% 0.57/0.98 ( add(c,add(b,X1)) = add(b,X1) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_72]).
% 0.57/0.98 cnf('0.76.0.0',plain,
% 0.57/0.98 ( add(a,X1) = add(add(a,X1),c) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.57.2.0','0.62.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.76.1.0',plain,
% 0.57/0.98 ( add(a,X1) = add(add(a,X1),c) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.57/0.98 [weight('<5,62,57,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.76.1.1',plain,
% 0.57/0.98 ( add(a,X1) = add(c,add(a,X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.76.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.76.2.0',plain,
% 0.57/0.98 ( add(c,add(a,X1)) = add(a,X1) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.76.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_74]).
% 0.57/0.98 cnf('0.80.0.0',plain,
% 0.57/0.98 ( add(b,inverse(inverse(b))) = add(c,inverse(inverse(b))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.74.2.0','0.73.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.80.0.1',plain,
% 0.57/0.98 ( inverse(inverse(b)) = add(c,inverse(inverse(b))) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.80.0.0','0.73.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.80.1.0',plain,
% 0.57/0.98 ( inverse(inverse(b)) = add(c,inverse(inverse(b))) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.80.0.1']),
% 0.57/0.98 [weight('<5,74,73,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.80.2.0',plain,
% 0.57/0.98 ( add(c,inverse(inverse(b))) = inverse(inverse(b)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_78]).
% 0.57/0.98 cnf('0.81.0.0',plain,
% 0.57/0.98 ( add(a,inverse(inverse(a))) = add(c,inverse(inverse(a))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.76.2.0','0.73.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.81.0.1',plain,
% 0.57/0.98 ( inverse(inverse(a)) = add(c,inverse(inverse(a))) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.81.0.0','0.73.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.81.1.0',plain,
% 0.57/0.98 ( inverse(inverse(a)) = add(c,inverse(inverse(a))) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.81.0.1']),
% 0.57/0.98 [weight('<5,76,73,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.81.2.0',plain,
% 0.57/0.98 ( add(c,inverse(inverse(a))) = inverse(inverse(a)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_79]).
% 0.57/0.98 cnf('0.82.0.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,inverse(X1))) = add(multiply(X1,X2),additive_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.82.0.1',plain,
% 0.57/0.98 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.82.0.0','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.82.1.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.82.0.1']),
% 0.57/0.98 [weight('<6,7,6,[0,0,0,4]>')]).
% 0.57/0.98 cnf('0.82.2.0',plain,
% 0.57/0.98 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_80]).
% 0.57/0.98 cnf('0.84.0.0',plain,
% 0.57/0.98 ( multiply(inverse(b),c) = multiply(inverse(b),inverse(inverse(b))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.82.2.0','0.80.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.84.0.1',plain,
% 0.57/0.98 ( multiply(inverse(b),c) = additive_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.84.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.84.1.0',plain,
% 0.57/0.98 ( multiply(inverse(b),c) = additive_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.84.0.1']),
% 0.57/0.98 [weight('<4,82,80,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.84.1.1',plain,
% 0.57/0.98 ( multiply(c,inverse(b)) = additive_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.84.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.84.2.0',plain,
% 0.57/0.98 ( multiply(c,inverse(b)) = additive_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_82]).
% 0.57/0.98 cnf('0.85.0.0',plain,
% 0.57/0.98 ( multiply(inverse(a),c) = multiply(inverse(a),inverse(inverse(a))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.82.2.0','0.81.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.85.0.1',plain,
% 0.57/0.98 ( multiply(inverse(a),c) = additive_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.85.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.85.1.0',plain,
% 0.57/0.98 ( multiply(inverse(a),c) = additive_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.85.0.1']),
% 0.57/0.98 [weight('<4,82,81,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.85.1.1',plain,
% 0.57/0.98 ( multiply(c,inverse(a)) = additive_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.85.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.85.2.0',plain,
% 0.57/0.98 ( multiply(c,inverse(a)) = additive_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.85.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_83]).
% 0.57/0.98 cnf('0.86.0.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),inverse(X1)) = add(additive_identity,multiply(X2,inverse(X1))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.86.0.1',plain,
% 0.57/0.98 ( multiply(add(X1,X2),inverse(X1)) = multiply(X2,inverse(X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.86.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.86.1.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),inverse(X1)) = multiply(X2,inverse(X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.86.0.1']),
% 0.57/0.98 [weight('<6,8,7,[1,0,0,1]>')]).
% 0.57/0.98 cnf('0.86.1.1',plain,
% 0.57/0.98 ( multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.86.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.86.2.0',plain,
% 0.57/0.98 ( multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.86.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_84]).
% 0.57/0.98 cnf('0.89.0.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),inverse(X2)) = add(multiply(X1,inverse(X2)),additive_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.89.0.1',plain,
% 0.57/0.98 ( multiply(add(X1,X2),inverse(X2)) = multiply(X1,inverse(X2)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.89.0.0','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.89.1.0',plain,
% 0.57/0.98 ( multiply(add(X1,X2),inverse(X2)) = multiply(X1,inverse(X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.89.0.1']),
% 0.57/0.98 [weight('<6,8,7,[1,0,0,4]>')]).
% 0.57/0.98 cnf('0.89.1.1',plain,
% 0.57/0.98 ( multiply(inverse(X2),add(X1,X2)) = multiply(X1,inverse(X2)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.89.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.89.2.0',plain,
% 0.57/0.98 ( multiply(inverse(X1),add(X2,X1)) = multiply(X2,inverse(X1)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.89.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_87]).
% 0.57/0.98 cnf('0.90.0.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(inverse(X1))) = multiply(inverse(inverse(X1)),multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.89.2.0','0.13.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.90.0.1',plain,
% 0.57/0.98 ( X1 = multiply(inverse(inverse(X1)),multiplicative_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.90.0.0','0.45.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.90.0.2',plain,
% 0.57/0.98 ( X1 = inverse(inverse(X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.90.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.90.1.0',plain,
% 0.57/0.98 ( X1 = inverse(inverse(X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.90.0.2']),
% 0.57/0.98 [weight('<3,89,13,[1,0,0,3]>')]).
% 0.57/0.98 cnf('0.90.2.0',plain,
% 0.57/0.98 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_88]).
% 0.57/0.98 cnf('0.91.0.0',plain,
% 0.57/0.98 ( add(multiply(X1,X2),inverse(X1)) = multiply(multiplicative_identity,add(X2,inverse(X1))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.9.2.0','0.13.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.91.0.1',plain,
% 0.57/0.98 ( add(multiply(X1,X2),inverse(X1)) = add(X2,inverse(X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.91.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.91.1.0',plain,
% 0.57/0.98 ( add(multiply(X1,X2),inverse(X1)) = add(X2,inverse(X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.91.0.1']),
% 0.57/0.98 [weight('<6,13,9,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.91.1.1',plain,
% 0.57/0.98 ( add(inverse(X1),multiply(X1,X2)) = add(X2,inverse(X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.91.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.91.2.0',plain,
% 0.57/0.98 ( add(inverse(X1),multiply(X1,X2)) = add(X2,inverse(X1)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.91.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_89]).
% 0.57/0.98 cnf('0.100.0.0',plain,
% 0.57/0.98 ( add(multiply(X1,X2),inverse(X2)) = multiply(add(X1,inverse(X2)),multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.9.2.0','0.13.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.100.0.1',plain,
% 0.57/0.98 ( add(multiply(X1,X2),inverse(X2)) = add(X1,inverse(X2)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.100.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.100.1.0',plain,
% 0.57/0.98 ( add(multiply(X1,X2),inverse(X2)) = add(X1,inverse(X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.100.0.1']),
% 0.57/0.98 [weight('<6,13,9,[0,0,0,4]>')]).
% 0.57/0.98 cnf('0.100.1.1',plain,
% 0.57/0.98 ( add(inverse(X2),multiply(X1,X2)) = add(X1,inverse(X2)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.100.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.100.2.0',plain,
% 0.57/0.98 ( add(inverse(X1),multiply(X2,X1)) = add(X2,inverse(X1)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.100.1.1',theory(equality)]),
% 0.57/0.98 [u,rule_98]).
% 0.57/0.98 cnf('0.101.0.0',plain,
% 0.57/0.98 ( add(d,inverse(inverse(a))) = add(inverse(inverse(a)),inverse(a)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.100.2.0','0.40.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.101.0.1',plain,
% 0.57/0.98 ( add(d,a) = add(inverse(inverse(a)),inverse(a)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.101.0.0','0.90.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.101.0.2',plain,
% 0.57/0.98 ( add(d,a) = add(a,inverse(a)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.101.0.1','0.90.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.1','L')]).
% 0.57/0.98 cnf('0.101.0.3',plain,
% 0.57/0.98 ( add(d,a) = multiplicative_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.101.0.2','0.13.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.101.1.0',plain,
% 0.57/0.98 ( add(d,a) = multiplicative_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.101.0.3']),
% 0.57/0.98 [weight('<3,100,40,[1,0,0,3]>')]).
% 0.57/0.98 cnf('0.101.2.0',plain,
% 0.57/0.98 ( add(d,a) = multiplicative_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_99]).
% 0.57/0.98 cnf('0.102.0.0',plain,
% 0.57/0.98 ( add(d,inverse(inverse(b))) = add(inverse(inverse(b)),inverse(b)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.100.2.0','0.44.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.102.0.1',plain,
% 0.57/0.98 ( add(d,b) = add(inverse(inverse(b)),inverse(b)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.102.0.0','0.90.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.102.0.2',plain,
% 0.57/0.98 ( add(d,b) = add(b,inverse(b)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.102.0.1','0.90.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.1','L')]).
% 0.57/0.98 cnf('0.102.0.3',plain,
% 0.57/0.98 ( add(d,b) = multiplicative_identity ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.102.0.2','0.13.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.102.1.0',plain,
% 0.57/0.98 ( add(d,b) = multiplicative_identity ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.102.0.3']),
% 0.57/0.98 [weight('<3,100,44,[1,0,0,3]>')]).
% 0.57/0.98 cnf('0.102.2.0',plain,
% 0.57/0.98 ( add(d,b) = multiplicative_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_100]).
% 0.57/0.98 cnf('0.114.0.0',plain,
% 0.57/0.98 ( add(d,multiply(X1,a)) = multiply(add(d,X1),multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.10.2.0','0.101.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.114.0.1',plain,
% 0.57/0.98 ( add(d,multiply(X1,a)) = add(d,X1) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.114.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.114.1.0',plain,
% 0.57/0.98 ( add(d,multiply(X1,a)) = add(d,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.114.0.1']),
% 0.57/0.98 [weight('<5,101,10,[0,0,0,4]>')]).
% 0.57/0.98 cnf('0.114.2.0',plain,
% 0.57/0.98 ( add(d,multiply(X1,a)) = add(d,X1) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_112]).
% 0.57/0.98 cnf('0.115.0.0',plain,
% 0.57/0.98 ( add(d,b) = add(d,c) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.114.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.115.0.1',plain,
% 0.57/0.98 ( multiplicative_identity = add(d,c) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.115.0.0','0.102.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.115.1.0',plain,
% 0.57/0.98 ( multiplicative_identity = add(d,c) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.115.0.1']),
% 0.57/0.98 [weight('<3,114,11,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.115.1.1',plain,
% 0.57/0.98 ( multiplicative_identity = add(c,d) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.115.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.115.2.0',plain,
% 0.57/0.98 ( add(c,d) = multiplicative_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.115.1.1',theory(equality)]),
% 0.57/0.98 [x,rule_113]).
% 0.57/0.98 cnf('0.116.0.0',plain,
% 0.57/0.98 ( multiply(d,inverse(c)) = multiply(inverse(c),multiplicative_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.86.2.0','0.115.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.116.0.1',plain,
% 0.57/0.98 ( multiply(d,inverse(c)) = inverse(c) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.116.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.116.1.0',plain,
% 0.57/0.98 ( multiply(d,inverse(c)) = inverse(c) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.116.0.1']),
% 0.57/0.98 [weight('<4,115,86,[0,0,0,3]>')]).
% 0.57/0.98 cnf('0.116.2.0',plain,
% 0.57/0.98 ( multiply(d,inverse(c)) = inverse(c) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_114]).
% 0.57/0.98 cnf('0.118.0.0',plain,
% 0.57/0.98 ( d = add(d,inverse(c)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.53.2.0','0.116.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.118.1.0',plain,
% 0.57/0.98 ( d = add(d,inverse(c)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.118.0.0']),
% 0.57/0.98 [weight('<4,116,53,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.118.2.0',plain,
% 0.57/0.98 ( add(d,inverse(c)) = d ),
% 0.57/0.98 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_116]).
% 0.57/0.98 cnf('0.166.0.0',plain,
% 0.57/0.98 ( multiply(c,add(inverse(b),X1)) = add(additive_identity,multiply(c,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.84.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.166.0.1',plain,
% 0.57/0.98 ( multiply(c,add(inverse(b),X1)) = multiply(c,X1) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.166.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.166.1.0',plain,
% 0.57/0.98 ( multiply(c,add(inverse(b),X1)) = multiply(c,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.166.0.1']),
% 0.57/0.98 [weight('<6,84,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.166.2.0',plain,
% 0.57/0.98 ( multiply(c,add(inverse(b),X1)) = multiply(c,X1) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_164]).
% 0.57/0.98 cnf('0.167.0.0',plain,
% 0.57/0.98 ( multiply(c,inverse(a)) = multiply(c,d) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.166.2.0','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.167.0.1',plain,
% 0.57/0.98 ( additive_identity = multiply(c,d) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.167.0.0','0.85.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.167.1.0',plain,
% 0.57/0.98 ( additive_identity = multiply(c,d) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.167.0.1']),
% 0.57/0.98 [weight('<3,166,14,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.167.2.0',plain,
% 0.57/0.98 ( multiply(c,d) = additive_identity ),
% 0.57/0.98 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_165]).
% 0.57/0.98 cnf('0.168.0.0',plain,
% 0.57/0.98 ( add(d,inverse(c)) = add(inverse(c),additive_identity) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.91.2.0','0.167.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.168.0.1',plain,
% 0.57/0.98 ( d = add(inverse(c),additive_identity) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.168.0.0','0.118.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.168.0.2',plain,
% 0.57/0.98 ( d = inverse(c) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.168.0.1','0.3.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.168.1.0',plain,
% 0.57/0.98 ( d = inverse(c) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.168.0.2']),
% 0.57/0.98 [weight('<2,167,91,[0,0,0,3]>')]).
% 0.57/0.98 cnf('0.168.2.0',plain,
% 0.57/0.98 ( inverse(c) = d ),
% 0.57/0.98 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_166]).
% 0.57/0.98 cnf('1.0.0.0',conjecture,
% 0.57/0.98 ( inverse(c) = d ),
% 0.57/0.98 file('/tmp/WALDMEISTER_18812_n020',conjecture_1)).
% 0.57/0.98 cnf('1.0.0.1',plain,
% 0.57/0.98 ( d = d ),
% 0.57/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.168.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('1.0.0.2',plain,
% 0.57/0.98 ( $true ),
% 0.57/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.98 [conjecture_1]).
% 0.57/0.98
% 0.57/0.98 Proved Goals:
% 0.57/0.98 No. 1: inverse(c) ?= d joined, current: d = d
% 0.57/0.98 1 goal was specified, which was proved.
% 0.57/0.98 % SZS output end CNFRefutation
% 0.57/0.98 #END OF PROOF
% 0.57/0.98
% 0.57/0.98 Problem WALDMEISTER_18812_n020
% 0.57/0.98 CPs.gen 3486
% 0.57/0.98 CPs.reexp 0
% 0.57/0.98 Select 667
% 0.57/0.98 R 166
% 0.57/0.98 E 2
% 0.57/0.98 vsize 6.5M
% 0.57/0.98 rss 3.8M
% 0.57/0.98 process.time 0.017s
% 0.57/0.98 wallclock.time 0.017s
% 0.57/0.98 status S
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Waldmeister states: Goal proved.
% 0.57/0.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------