TSTP Solution File: BOO014-4 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:52:50 EDT 2022
% Result : Unsatisfiable 0.64s 1.12s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 22:03:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.00 * |/ | \/ | *
% 0.60/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.00 * A. Jaeger and B. Loechner | | *
% 0.60/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Goals:
% 0.60/1.00 ------
% 0.60/1.00
% 0.60/1.00 ( 1) multiply(inverse(a),inverse(b)) ?=? inverse(add(a,b))
% 0.60/1.00
% 0.60/1.00 Detected structure: BoolescheAlgebra
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.64/1.12 joined goal: 1 multiply(inverse(a),inverse(b)) ?= inverse(add(a,b)) to inverse(add(b,a))
% 0.64/1.12 goal joined
% 0.64/1.12 % SZS status Unsatisfiable
% 0.64/1.12 #START OF PROOF
% 0.64/1.12 % SZS output start CNFRefutation
% 0.64/1.12 cnf('0.1.0.0',axiom,
% 0.64/1.12 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.1.1.0',plain,
% 0.64/1.12 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.12 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.12 cnf('0.1.2.0',plain,
% 0.64/1.12 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_1]).
% 0.64/1.12 cnf('0.2.0.0',axiom,
% 0.64/1.12 ( X1 = add(X1,additive_identity) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.2.1.0',plain,
% 0.64/1.12 ( X1 = add(X1,additive_identity) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.12 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.64/1.12 cnf('0.2.2.0',plain,
% 0.64/1.12 ( add(X1,additive_identity) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_2]).
% 0.64/1.12 cnf('0.3.0.0',axiom,
% 0.64/1.12 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.3.1.0',plain,
% 0.64/1.12 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.64/1.12 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.64/1.12 cnf('0.3.2.0',plain,
% 0.64/1.12 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.64/1.12 inference(activate,[status(thm)],['0.3.1.0']),
% 0.64/1.12 [equation_1]).
% 0.64/1.12 cnf('0.4.0.0',axiom,
% 0.64/1.12 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.4.1.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.64/1.12 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.64/1.12 cnf('0.4.2.0',plain,
% 0.64/1.12 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_3]).
% 0.64/1.12 cnf('0.5.0.0',axiom,
% 0.64/1.12 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.5.1.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.64/1.12 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.64/1.12 cnf('0.5.2.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_4]).
% 0.64/1.12 cnf('0.6.0.0',axiom,
% 0.64/1.12 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.6.1.0',plain,
% 0.64/1.12 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.64/1.12 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.64/1.12 cnf('0.6.2.0',plain,
% 0.64/1.12 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_5]).
% 0.64/1.12 cnf('0.7.0.0',axiom,
% 0.64/1.12 ( add(X1,X2) = add(X2,X1) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.7.1.0',plain,
% 0.64/1.12 ( add(X1,X2) = add(X2,X1) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.64/1.12 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.64/1.12 cnf('0.7.2.0',plain,
% 0.64/1.12 ( add(X1,X2) = add(X2,X1) ),
% 0.64/1.12 inference(activate,[status(thm)],['0.7.1.0']),
% 0.64/1.12 [equation_2]).
% 0.64/1.12 cnf('0.8.0.0',axiom,
% 0.64/1.12 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024')).
% 0.64/1.12 cnf('0.8.1.0',plain,
% 0.64/1.12 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.64/1.12 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.64/1.12 cnf('0.8.2.0',plain,
% 0.64/1.12 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_6]).
% 0.64/1.12 cnf('0.9.0.0',plain,
% 0.64/1.12 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.64/1.12 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.9.1.0',plain,
% 0.64/1.12 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.64/1.12 [weight('<3,3,1,[1,0,0,0]>')]).
% 0.64/1.12 cnf('0.9.2.0',plain,
% 0.64/1.12 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_7]).
% 0.64/1.12 cnf('0.11.0.0',plain,
% 0.64/1.12 ( add(additive_identity,X1) = X1 ),
% 0.64/1.12 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.11.1.0',plain,
% 0.64/1.12 ( add(additive_identity,X1) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.64/1.12 [weight('<3,7,2,[1,0,0,0]>')]).
% 0.64/1.12 cnf('0.11.2.0',plain,
% 0.64/1.12 ( add(additive_identity,X1) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_9]).
% 0.64/1.12 cnf('0.13.0.0',plain,
% 0.64/1.12 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.13.1.0',plain,
% 0.64/1.12 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.64/1.12 [weight('<5,6,2,[1,0,0,1]>')]).
% 0.64/1.12 cnf('0.13.2.0',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_11]).
% 0.64/1.12 cnf('0.14.0.0',plain,
% 0.64/1.12 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X2,X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.13.2.0','0.7.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.14.1.0',plain,
% 0.64/1.12 ( add(X1,multiply(additive_identity,X2)) = multiply(X1,add(X2,X1)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.64/1.12 [weight('<5,13,7,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.14.2.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X1)) = add(X1,multiply(additive_identity,X2)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_12]).
% 0.64/1.12 cnf('0.18.0.0',plain,
% 0.64/1.12 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.18.1.0',plain,
% 0.64/1.12 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.64/1.12 [weight('<6,5,4,[0,0,0,1]>')]).
% 0.64/1.12 cnf('0.18.1.1',plain,
% 0.64/1.12 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.18.1.0','0.11.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.18.2.0',plain,
% 0.64/1.12 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.64/1.12 [u,rule_16]).
% 0.64/1.12 cnf('0.19.0.0',plain,
% 0.64/1.12 ( multiply(X1,additive_identity) = multiply(X1,inverse(X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.19.0.1',plain,
% 0.64/1.12 ( multiply(X1,additive_identity) = additive_identity ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.19.0.0','0.5.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.19.1.0',plain,
% 0.64/1.12 ( multiply(X1,additive_identity) = additive_identity ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.64/1.12 [weight('<3,18,2,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.19.2.0',plain,
% 0.64/1.12 ( multiply(X1,additive_identity) = additive_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_17]).
% 0.64/1.12 cnf('0.21.0.0',plain,
% 0.64/1.12 ( additive_identity = multiply(additive_identity,X1) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.21.1.0',plain,
% 0.64/1.12 ( additive_identity = multiply(additive_identity,X1) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.64/1.12 [weight('<3,19,3,[1,0,0,0]>')]).
% 0.64/1.12 cnf('0.21.2.0',plain,
% 0.64/1.12 ( multiply(additive_identity,X1) = additive_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_19]).
% 0.64/1.12 cnf('0.23.0.0',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = add(X1,multiply(additive_identity,X2)) ),
% 0.64/1.12 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.64/1.12 cnf('0.23.0.1',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = add(X1,additive_identity) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.23.0.0','0.21.2.0',theory(equality)]),
% 0.64/1.12 [pos('R.2','L')]).
% 0.64/1.12 cnf('0.23.0.2',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.23.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.23.1.0',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.23.0.2']),
% 0.64/1.12 [weight('<5,13,21,[0,0,0,0]>')]).
% 0.64/1.12 cnf('0.23.2.0',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_21]).
% 0.64/1.12 cnf('0.24.0.0',plain,
% 0.64/1.12 ( X1 = multiply(X1,X1) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.24.1.0',plain,
% 0.64/1.12 ( X1 = multiply(X1,X1) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.64/1.12 [weight('<3,23,2,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.24.2.0',plain,
% 0.64/1.12 ( multiply(X1,X1) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_22]).
% 0.64/1.12 cnf('0.25.0.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X1)) = add(X1,multiply(additive_identity,X2)) ),
% 0.64/1.12 inference(interreduction_right,[status(thm)],['0.14.2.0'])).
% 0.64/1.12 cnf('0.25.0.1',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X1)) = add(X1,additive_identity) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.25.0.0','0.21.2.0',theory(equality)]),
% 0.64/1.12 [pos('R.2','L')]).
% 0.64/1.12 cnf('0.25.0.2',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.25.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.25.1.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.64/1.12 [weight('<5,14,21,[0,0,0,0]>')]).
% 0.64/1.12 cnf('0.25.2.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_23]).
% 0.64/1.12 cnf('0.26.0.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(inverse(X1))) = multiply(X1,multiplicative_identity) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.18.2.0','0.8.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.26.0.1',plain,
% 0.64/1.12 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.26.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.26.1.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.64/1.12 [weight('<5,18,8,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.26.2.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(inverse(X1))) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_24]).
% 0.64/1.12 cnf('0.27.0.0',plain,
% 0.64/1.12 ( multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.4.2.0','0.24.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.27.0.1',plain,
% 0.64/1.12 ( X1 = add(X1,multiply(X1,X2)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.27.0.0','0.23.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.27.1.0',plain,
% 0.64/1.12 ( X1 = add(X1,multiply(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.64/1.12 [weight('<5,24,4,[0,0,0,1]>')]).
% 0.64/1.12 cnf('0.27.2.0',plain,
% 0.64/1.12 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_25]).
% 0.64/1.12 cnf('0.29.0.0',plain,
% 0.64/1.12 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.27.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.29.1.0',plain,
% 0.64/1.12 ( X1 = add(X1,multiply(X2,X1)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.64/1.12 [weight('<5,27,3,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.29.2.0',plain,
% 0.64/1.12 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_27]).
% 0.64/1.12 cnf('0.34.0.0',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.34.1.0',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = add(inverse(inverse(X1)),X1) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.64/1.12 [weight('<5,29,26,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.34.1.1',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = add(X1,inverse(inverse(X1))) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.34.1.0','0.7.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.34.2.0',plain,
% 0.64/1.12 ( add(X1,inverse(inverse(X1))) = inverse(inverse(X1)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.34.1.1',theory(equality)]),
% 0.64/1.12 [x,rule_32]).
% 0.64/1.12 cnf('0.35.0.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,inverse(X1))) = add(multiply(X1,X2),additive_identity) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.35.0.1',plain,
% 0.64/1.12 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.35.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.35.1.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.64/1.12 [weight('<6,5,4,[0,0,0,4]>')]).
% 0.64/1.12 cnf('0.35.2.0',plain,
% 0.64/1.12 ( multiply(X1,add(X2,inverse(X1))) = multiply(X1,X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_33]).
% 0.64/1.12 cnf('0.36.0.0',plain,
% 0.64/1.12 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.36.1.0',plain,
% 0.64/1.12 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.64/1.12 [weight('<6,8,6,[0,0,0,1]>')]).
% 0.64/1.12 cnf('0.36.1.1',plain,
% 0.64/1.12 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.36.1.0','0.9.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.36.2.0',plain,
% 0.64/1.12 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.36.1.1',theory(equality)]),
% 0.64/1.12 [u,rule_34]).
% 0.64/1.12 cnf('0.37.0.0',plain,
% 0.64/1.12 ( add(X1,inverse(inverse(X1))) = add(X1,additive_identity) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.36.2.0','0.5.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.37.0.1',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = add(X1,additive_identity) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.37.0.0','0.34.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.37.0.2',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = X1 ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.37.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.37.1.0',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.37.0.2']),
% 0.64/1.12 [weight('<3,36,5,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.37.2.0',plain,
% 0.64/1.12 ( inverse(inverse(X1)) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_35]).
% 0.64/1.12 cnf('0.38.0.0',plain,
% 0.64/1.12 ( add(X1,multiply(X2,inverse(X1))) = multiply(add(X1,X2),multiplicative_identity) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.38.0.1',plain,
% 0.64/1.12 ( add(X1,multiply(X2,inverse(X1))) = add(X1,X2) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.38.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.38.1.0',plain,
% 0.64/1.12 ( add(X1,multiply(X2,inverse(X1))) = add(X1,X2) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.64/1.12 [weight('<6,8,6,[0,0,0,4]>')]).
% 0.64/1.12 cnf('0.38.2.0',plain,
% 0.64/1.12 ( add(X1,multiply(X2,inverse(X1))) = add(X1,X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_36]).
% 0.64/1.12 cnf('0.40.0.0',plain,
% 0.64/1.12 ( multiply(X1,multiply(X2,inverse(X1))) = multiply(X1,inverse(X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.18.2.0','0.29.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.40.0.1',plain,
% 0.64/1.12 ( multiply(X1,multiply(X2,inverse(X1))) = additive_identity ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.40.0.0','0.5.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.40.1.0',plain,
% 0.64/1.12 ( multiply(X1,multiply(X2,inverse(X1))) = additive_identity ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.64/1.12 [weight('<6,29,18,[0,0,0,2]>')]).
% 0.64/1.12 cnf('0.40.2.0',plain,
% 0.64/1.12 ( multiply(X1,multiply(X2,inverse(X1))) = additive_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_38]).
% 0.64/1.12 cnf('0.42.0.0',plain,
% 0.64/1.12 ( add(X1,add(X2,inverse(X1))) = add(X1,inverse(X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.36.2.0','0.25.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.42.0.1',plain,
% 0.64/1.12 ( add(X1,add(X2,inverse(X1))) = multiplicative_identity ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.42.0.0','0.8.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.42.1.0',plain,
% 0.64/1.12 ( add(X1,add(X2,inverse(X1))) = multiplicative_identity ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.64/1.12 [weight('<6,36,25,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.42.2.0',plain,
% 0.64/1.12 ( add(X1,add(X2,inverse(X1))) = multiplicative_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_40]).
% 0.64/1.12 cnf('0.44.0.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),X2) = multiply(inverse(X1),add(X2,X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.35.2.0','0.37.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2.2','L')]).
% 0.64/1.12 cnf('0.44.1.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),X2) = multiply(inverse(X1),add(X2,X1)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.64/1.12 [weight('<6,37,35,[0,0,0,4]>')]).
% 0.64/1.12 cnf('0.44.2.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_42]).
% 0.64/1.12 cnf('0.46.0.0',plain,
% 0.64/1.12 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X2,X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.38.2.0','0.37.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2.2','L')]).
% 0.64/1.12 cnf('0.46.1.0',plain,
% 0.64/1.12 ( add(inverse(X1),X2) = add(inverse(X1),multiply(X2,X1)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.64/1.12 [weight('<6,38,37,[1,0,0,4]>')]).
% 0.64/1.12 cnf('0.46.2.0',plain,
% 0.64/1.12 ( add(inverse(X1),multiply(X2,X1)) = add(inverse(X1),X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_44]).
% 0.64/1.12 cnf('0.48.0.0',plain,
% 0.64/1.12 ( additive_identity = multiply(inverse(X1),multiply(X2,X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.40.2.0','0.37.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2.2','L')]).
% 0.64/1.12 cnf('0.48.1.0',plain,
% 0.64/1.12 ( additive_identity = multiply(inverse(X1),multiply(X2,X1)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.64/1.12 [weight('<6,40,37,[1,0,0,4]>')]).
% 0.64/1.12 cnf('0.48.2.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),multiply(X2,X1)) = additive_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_46]).
% 0.64/1.12 cnf('0.50.0.0',plain,
% 0.64/1.12 ( multiplicative_identity = add(inverse(X1),add(X2,X1)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.42.2.0','0.37.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2.2','L')]).
% 0.64/1.12 cnf('0.50.1.0',plain,
% 0.64/1.12 ( multiplicative_identity = add(inverse(X1),add(X2,X1)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.64/1.12 [weight('<6,42,37,[1,0,0,4]>')]).
% 0.64/1.12 cnf('0.50.2.0',plain,
% 0.64/1.12 ( add(inverse(X1),add(X2,X1)) = multiplicative_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_48]).
% 0.64/1.12 cnf('0.53.0.0',plain,
% 0.64/1.12 ( multiplicative_identity = add(inverse(multiply(X1,X2)),X1) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.50.2.0','0.27.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.53.1.0',plain,
% 0.64/1.12 ( multiplicative_identity = add(inverse(multiply(X1,X2)),X1) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.64/1.12 [weight('<6,50,27,[1,0,0,3]>')]).
% 0.64/1.12 cnf('0.53.1.1',plain,
% 0.64/1.12 ( multiplicative_identity = add(X1,inverse(multiply(X1,X2))) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.53.1.0','0.7.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.53.2.0',plain,
% 0.64/1.12 ( add(X1,inverse(multiply(X1,X2))) = multiplicative_identity ),
% 0.64/1.12 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.64/1.12 [x,rule_51]).
% 0.64/1.12 cnf('0.80.0.0',plain,
% 0.64/1.12 ( add(inverse(multiply(X1,X2)),inverse(X2)) = add(inverse(multiply(X1,X2)),additive_identity) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.46.2.0','0.48.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.80.0.1',plain,
% 0.64/1.12 ( add(inverse(multiply(X1,X2)),inverse(X2)) = inverse(multiply(X1,X2)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.80.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.80.1.0',plain,
% 0.64/1.12 ( add(inverse(multiply(X1,X2)),inverse(X2)) = inverse(multiply(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.80.0.1']),
% 0.64/1.12 [weight('<7,48,46,[0,0,0,3]>')]).
% 0.64/1.12 cnf('0.80.1.1',plain,
% 0.64/1.12 ( add(inverse(X2),inverse(multiply(X1,X2))) = inverse(multiply(X1,X2)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.80.1.0','0.7.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.80.2.0',plain,
% 0.64/1.12 ( add(inverse(X1),inverse(multiply(X2,X1))) = inverse(multiply(X2,X1)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.80.1.1',theory(equality)]),
% 0.64/1.12 [u,rule_78]).
% 0.64/1.12 cnf('0.87.0.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(multiply(inverse(X1),X2))) = multiply(X1,multiplicative_identity) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.18.2.0','0.53.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.87.0.1',plain,
% 0.64/1.12 ( multiply(X1,inverse(multiply(inverse(X1),X2))) = X1 ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.87.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.87.1.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(multiply(inverse(X1),X2))) = X1 ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.87.0.1']),
% 0.64/1.12 [weight('<7,53,18,[0,0,0,2]>')]).
% 0.64/1.12 cnf('0.87.2.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(multiply(inverse(X1),X2))) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_85]).
% 0.64/1.12 cnf('0.162.0.0',plain,
% 0.64/1.12 ( add(inverse(X1),multiply(add(X2,X1),X3)) = multiply(multiplicative_identity,add(inverse(X1),X3)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.6.2.0','0.50.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.162.0.1',plain,
% 0.64/1.12 ( add(inverse(X1),multiply(add(X2,X1),X3)) = add(inverse(X1),X3) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.162.0.0','0.9.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.162.1.0',plain,
% 0.64/1.12 ( add(inverse(X1),multiply(add(X2,X1),X3)) = add(inverse(X1),X3) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.162.0.1']),
% 0.64/1.12 [weight('<8,50,6,[0,0,0,1]>')]).
% 0.64/1.12 cnf('0.162.2.0',plain,
% 0.64/1.12 ( add(inverse(X1),multiply(add(X2,X1),X3)) = add(inverse(X1),X3) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_158]).
% 0.64/1.12 cnf('0.238.0.0',plain,
% 0.64/1.12 ( multiply(inverse(multiply(inverse(X1),X2)),X1) = multiply(inverse(multiply(inverse(X1),X2)),add(X1,X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.44.2.0','0.36.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.238.1.0',plain,
% 0.64/1.12 ( multiply(inverse(multiply(inverse(X1),X2)),X1) = multiply(inverse(multiply(inverse(X1),X2)),add(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.238.0.0']),
% 0.64/1.12 [weight('<9,44,36,[1,0,0,3]>')]).
% 0.64/1.12 cnf('0.238.1.1',plain,
% 0.64/1.12 ( multiply(X1,inverse(multiply(inverse(X1),X2))) = multiply(inverse(multiply(inverse(X1),X2)),add(X1,X2)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.238.1.0','0.3.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.238.1.2',plain,
% 0.64/1.12 ( X1 = multiply(inverse(multiply(inverse(X1),X2)),add(X1,X2)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.238.1.1','0.87.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.238.1.3',plain,
% 0.64/1.12 ( X1 = multiply(add(X1,X2),inverse(multiply(inverse(X1),X2))) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.238.1.2','0.3.2.0',theory(equality)]),
% 0.64/1.12 [pos('R','L')]).
% 0.64/1.12 cnf('0.238.2.0',plain,
% 0.64/1.12 ( multiply(add(X1,X2),inverse(multiply(inverse(X1),X2))) = X1 ),
% 0.64/1.12 inference(orient,[status(thm)],['0.238.1.3',theory(equality)]),
% 0.64/1.12 [x,rule_224]).
% 0.64/1.12 cnf('0.239.0.0',plain,
% 0.64/1.12 ( add(inverse(X1),inverse(multiply(inverse(X2),X1))) = add(inverse(X1),X2) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.162.2.0','0.238.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.2','L')]).
% 0.64/1.12 cnf('0.239.0.1',plain,
% 0.64/1.12 ( inverse(multiply(inverse(X2),X1)) = add(inverse(X1),X2) ),
% 0.64/1.12 inference(reduction,[status(thm)],['0.239.0.0','0.80.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('0.239.1.0',plain,
% 0.64/1.12 ( inverse(multiply(inverse(X2),X1)) = add(inverse(X1),X2) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.239.0.1']),
% 0.64/1.12 [weight('<5,238,162,[0,0,0,3]>')]).
% 0.64/1.12 cnf('0.239.2.0',plain,
% 0.64/1.12 ( inverse(multiply(inverse(X1),X2)) = add(inverse(X2),X1) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_225]).
% 0.64/1.12 cnf('0.240.0.0',plain,
% 0.64/1.12 ( add(inverse(X1),X2) = inverse(multiply(X1,inverse(X2))) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.239.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.240.1.0',plain,
% 0.64/1.12 ( add(inverse(X1),X2) = inverse(multiply(X1,inverse(X2))) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.240.0.0']),
% 0.64/1.12 [weight('<5,239,0,[1,0,0,1]>')]).
% 0.64/1.12 cnf('0.240.2.0',plain,
% 0.64/1.12 ( inverse(multiply(X1,inverse(X2))) = add(inverse(X1),X2) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_226]).
% 0.64/1.12 cnf('0.241.0.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(X2)) = inverse(add(inverse(X1),X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.37.2.0','0.240.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('0.241.1.0',plain,
% 0.64/1.12 ( multiply(X1,inverse(X2)) = inverse(add(inverse(X1),X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.241.0.0']),
% 0.64/1.12 [weight('<5,240,37,[0,0,0,1]>')]).
% 0.64/1.12 cnf('0.241.2.0',plain,
% 0.64/1.12 ( inverse(add(inverse(X1),X2)) = multiply(X1,inverse(X2)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.241.1.0',theory(equality)]),
% 0.64/1.12 [x,rule_227]).
% 0.64/1.12 cnf('0.244.0.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),inverse(X2)) = inverse(add(X1,X2)) ),
% 0.64/1.12 inference(cp,[status(thm)],['0.241.2.0','0.37.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1.1','L')]).
% 0.64/1.12 cnf('0.244.1.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),inverse(X2)) = inverse(add(X1,X2)) ),
% 0.64/1.12 inference(weigh,[status(thm)],['0.244.0.0']),
% 0.64/1.12 [weight('<5,241,37,[1,0,0,2]>')]).
% 0.64/1.12 cnf('0.244.2.0',plain,
% 0.64/1.12 ( multiply(inverse(X1),inverse(X2)) = inverse(add(X1,X2)) ),
% 0.64/1.12 inference(orient,[status(thm)],['0.244.1.0',theory(equality)]),
% 0.64/1.12 [u,rule_230]).
% 0.64/1.12 cnf('1.0.0.0',conjecture,
% 0.64/1.12 ( multiply(inverse(a),inverse(b)) = inverse(add(a,b)) ),
% 0.64/1.12 file('/tmp/WALDMEISTER_6783_n024',conjecture_1)).
% 0.64/1.12 cnf('1.0.0.1',plain,
% 0.64/1.12 ( inverse(add(a,b)) = inverse(add(a,b)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['1.0.0.0','0.244.2.0',theory(equality)]),
% 0.64/1.12 [pos('L','L')]).
% 0.64/1.12 cnf('1.0.0.2',plain,
% 0.64/1.12 ( inverse(add(b,a)) = inverse(add(a,b)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['1.0.0.1','0.7.2.0',theory(equality)]),
% 0.64/1.12 [pos('L.1','L')]).
% 0.64/1.12 cnf('1.0.0.3',plain,
% 0.64/1.12 ( inverse(add(b,a)) = inverse(add(b,a)) ),
% 0.64/1.12 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 0.64/1.12 [pos('R.1','L')]).
% 0.64/1.12 cnf('1.0.0.4',plain,
% 0.64/1.12 ( $true ),
% 0.64/1.12 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.64/1.12 [conjecture_1]).
% 0.64/1.12
% 0.64/1.12 Proved Goals:
% 0.64/1.12 No. 1: multiply(inverse(a),inverse(b)) ?= inverse(add(a,b)) joined, current: inverse(add(b,a)) = inverse(add(b,a))
% 0.64/1.12 1 goal was specified, which was proved.
% 0.64/1.12 % SZS output end CNFRefutation
% 0.64/1.12 #END OF PROOF
% 0.64/1.12
% 0.64/1.12 Problem WALDMEISTER_6783_n024
% 0.64/1.12 CPs.gen 34018
% 0.64/1.12 CPs.reexp 0
% 0.64/1.12 Select 2380
% 0.64/1.12 R 230
% 0.64/1.12 E 14
% 0.64/1.12 vsize 6.5M
% 0.64/1.12 rss 4.1M
% 0.64/1.12 process.time 0.122s
% 0.64/1.12 wallclock.time 0.122s
% 0.64/1.12 status S
% 0.64/1.12
% 0.64/1.12
% 0.64/1.12 Waldmeister states: Goal proved.
% 0.64/1.12 % SZS status Unsatisfiable
%------------------------------------------------------------------------------