TSTP Solution File: BOO012-4 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 23:52:49 EDT 2022
% Result : Unsatisfiable 0.74s 1.08s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n025.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 17:38:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.08 ********************************************************************************
% 0.74/1.08 * W A L D M E I S T E R \| \ / \|/ *
% 0.74/1.08 * |/ | \/ | *
% 0.74/1.08 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.74/1.08 * A. Jaeger and B. Loechner | | *
% 0.74/1.08 * <waldmeister@informatik.uni-kl.de> | *
% 0.74/1.08 ********************************************************************************
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Goals:
% 0.74/1.08 ------
% 0.74/1.08
% 0.74/1.08 ( 1) inverse(inverse(x)) ?=? x
% 0.74/1.08
% 0.74/1.08 Detected structure: BoolescheAlgebra
% 0.74/1.08 ********************************************************************************
% 0.74/1.08 ****************************** COMPLETION - PROOF ******************************
% 0.74/1.08 ********************************************************************************
% 0.74/1.08
% 0.74/1.08 joined goal: 1 inverse(inverse(x)) ?= x to x
% 0.74/1.08 goal joined
% 0.74/1.08 % SZS status Unsatisfiable
% 0.74/1.08 #START OF PROOF
% 0.74/1.08 % SZS output start CNFRefutation
% 0.74/1.08 cnf('0.1.0.0',axiom,
% 0.74/1.08 ( X1 = add(X1,additive_identity) ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.1.1.0',plain,
% 0.74/1.08 ( X1 = add(X1,additive_identity) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.74/1.08 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.74/1.08 cnf('0.1.2.0',plain,
% 0.74/1.08 ( add(X1,additive_identity) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_1]).
% 0.74/1.08 cnf('0.2.0.0',axiom,
% 0.74/1.08 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.2.1.0',plain,
% 0.74/1.08 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.74/1.08 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.74/1.08 cnf('0.2.2.0',plain,
% 0.74/1.08 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_2]).
% 0.74/1.08 cnf('0.3.0.0',axiom,
% 0.74/1.08 ( add(X1,X2) = add(X2,X1) ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.3.1.0',plain,
% 0.74/1.08 ( add(X1,X2) = add(X2,X1) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.74/1.08 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.74/1.08 cnf('0.3.2.0',plain,
% 0.74/1.08 ( add(X1,X2) = add(X2,X1) ),
% 0.74/1.08 inference(activate,[status(thm)],['0.3.1.0']),
% 0.74/1.08 [equation_1]).
% 0.74/1.08 cnf('0.4.0.0',axiom,
% 0.74/1.08 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.4.1.0',plain,
% 0.74/1.08 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.74/1.08 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.74/1.08 cnf('0.4.2.0',plain,
% 0.74/1.08 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.74/1.08 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_3]).
% 0.74/1.08 cnf('0.5.0.0',axiom,
% 0.74/1.08 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.5.1.0',plain,
% 0.74/1.08 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.74/1.08 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.74/1.08 cnf('0.5.2.0',plain,
% 0.74/1.08 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.74/1.08 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_4]).
% 0.74/1.08 cnf('0.6.0.0',axiom,
% 0.74/1.08 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.6.1.0',plain,
% 0.74/1.08 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.74/1.08 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.74/1.08 cnf('0.6.2.0',plain,
% 0.74/1.08 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.74/1.08 inference(activate,[status(thm)],['0.6.1.0']),
% 0.74/1.08 [equation_2]).
% 0.74/1.08 cnf('0.7.0.0',axiom,
% 0.74/1.08 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.7.1.0',plain,
% 0.74/1.08 ( multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.74/1.08 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.74/1.08 cnf('0.7.2.0',plain,
% 0.74/1.08 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.74/1.08 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_5]).
% 0.74/1.08 cnf('0.8.0.0',axiom,
% 0.74/1.08 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025')).
% 0.74/1.08 cnf('0.8.1.0',plain,
% 0.74/1.08 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.74/1.08 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.74/1.08 cnf('0.8.2.0',plain,
% 0.74/1.08 ( multiply(X1,inverse(X1)) = additive_identity ),
% 0.74/1.08 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_6]).
% 0.74/1.08 cnf('0.9.0.0',plain,
% 0.74/1.08 ( add(additive_identity,X1) = X1 ),
% 0.74/1.08 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.74/1.08 [pos('L','L')]).
% 0.74/1.08 cnf('0.9.1.0',plain,
% 0.74/1.08 ( add(additive_identity,X1) = X1 ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.74/1.08 [weight('<3,3,1,[1,0,0,0]>')]).
% 0.74/1.08 cnf('0.9.2.0',plain,
% 0.74/1.08 ( add(additive_identity,X1) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_7]).
% 0.74/1.08 cnf('0.11.0.0',plain,
% 0.74/1.08 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.74/1.08 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.74/1.08 [pos('L','L')]).
% 0.74/1.08 cnf('0.11.1.0',plain,
% 0.74/1.08 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.74/1.08 [weight('<3,6,2,[1,0,0,0]>')]).
% 0.74/1.08 cnf('0.11.2.0',plain,
% 0.74/1.08 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_9]).
% 0.74/1.08 cnf('0.13.0.0',plain,
% 0.74/1.08 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.1','L')]).
% 0.74/1.08 cnf('0.13.1.0',plain,
% 0.74/1.08 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.74/1.08 [weight('<5,7,2,[1,0,0,1]>')]).
% 0.74/1.08 cnf('0.13.2.0',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.74/1.08 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_11]).
% 0.74/1.08 cnf('0.18.0.0',plain,
% 0.74/1.08 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.1','L')]).
% 0.74/1.08 cnf('0.18.1.0',plain,
% 0.74/1.08 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.74/1.08 [weight('<6,5,4,[0,0,0,1]>')]).
% 0.74/1.08 cnf('0.18.1.1',plain,
% 0.74/1.08 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.18.1.0','0.11.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.18.2.0',plain,
% 0.74/1.08 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.74/1.08 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.74/1.08 [u,rule_16]).
% 0.74/1.08 cnf('0.19.0.0',plain,
% 0.74/1.08 ( add(X1,multiplicative_identity) = add(X1,inverse(X1)) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.2','L')]).
% 0.74/1.08 cnf('0.19.0.1',plain,
% 0.74/1.08 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.19.0.0','0.5.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.19.1.0',plain,
% 0.74/1.08 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.74/1.08 [weight('<3,18,2,[1,0,0,2]>')]).
% 0.74/1.08 cnf('0.19.2.0',plain,
% 0.74/1.08 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.74/1.08 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_17]).
% 0.74/1.08 cnf('0.21.0.0',plain,
% 0.74/1.08 ( multiplicative_identity = add(multiplicative_identity,X1) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.74/1.08 [pos('L','L')]).
% 0.74/1.08 cnf('0.21.1.0',plain,
% 0.74/1.08 ( multiplicative_identity = add(multiplicative_identity,X1) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.74/1.08 [weight('<3,19,3,[1,0,0,0]>')]).
% 0.74/1.08 cnf('0.21.2.0',plain,
% 0.74/1.08 ( add(multiplicative_identity,X1) = multiplicative_identity ),
% 0.74/1.08 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_19]).
% 0.74/1.08 cnf('0.23.0.0',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.74/1.08 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.74/1.08 cnf('0.23.0.1',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = multiply(X1,multiplicative_identity) ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.23.0.0','0.21.2.0',theory(equality)]),
% 0.74/1.08 [pos('R.2','L')]).
% 0.74/1.08 cnf('0.23.0.2',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.23.0.1','0.2.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.23.1.0',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.23.0.2']),
% 0.74/1.08 [weight('<5,13,21,[0,0,0,0]>')]).
% 0.74/1.08 cnf('0.23.2.0',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_21]).
% 0.74/1.08 cnf('0.24.0.0',plain,
% 0.74/1.08 ( X1 = add(X1,X1) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.2','L')]).
% 0.74/1.08 cnf('0.24.1.0',plain,
% 0.74/1.08 ( X1 = add(X1,X1) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.74/1.08 [weight('<3,23,2,[1,0,0,2]>')]).
% 0.74/1.08 cnf('0.24.2.0',plain,
% 0.74/1.08 ( add(X1,X1) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_22]).
% 0.74/1.08 cnf('0.26.0.0',plain,
% 0.74/1.08 ( add(X1,inverse(inverse(X1))) = add(X1,additive_identity) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.18.2.0','0.8.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.2','L')]).
% 0.74/1.08 cnf('0.26.0.1',plain,
% 0.74/1.08 ( add(X1,inverse(inverse(X1))) = X1 ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.26.0.0','0.1.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.26.1.0',plain,
% 0.74/1.08 ( add(X1,inverse(inverse(X1))) = X1 ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.74/1.08 [weight('<5,18,8,[1,0,0,2]>')]).
% 0.74/1.08 cnf('0.26.2.0',plain,
% 0.74/1.08 ( add(X1,inverse(inverse(X1))) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_24]).
% 0.74/1.08 cnf('0.27.0.0',plain,
% 0.74/1.08 ( add(X1,multiply(X1,X2)) = multiply(X1,add(X1,X2)) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.4.2.0','0.24.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.1','L')]).
% 0.74/1.08 cnf('0.27.0.1',plain,
% 0.74/1.08 ( X1 = multiply(X1,add(X1,X2)) ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.27.0.0','0.23.2.0',theory(equality)]),
% 0.74/1.08 [pos('L','L')]).
% 0.74/1.08 cnf('0.27.1.0',plain,
% 0.74/1.08 ( X1 = multiply(X1,add(X1,X2)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.74/1.08 [weight('<5,24,4,[0,0,0,1]>')]).
% 0.74/1.08 cnf('0.27.2.0',plain,
% 0.74/1.08 ( multiply(X1,add(X1,X2)) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_25]).
% 0.74/1.08 cnf('0.29.0.0',plain,
% 0.74/1.08 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.27.2.0','0.3.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.2','L')]).
% 0.74/1.08 cnf('0.29.1.0',plain,
% 0.74/1.08 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.74/1.08 [weight('<5,27,3,[1,0,0,2]>')]).
% 0.74/1.08 cnf('0.29.2.0',plain,
% 0.74/1.08 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.74/1.08 [x,rule_27]).
% 0.74/1.08 cnf('0.34.0.0',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = multiply(inverse(inverse(X1)),X1) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.2','L')]).
% 0.74/1.08 cnf('0.34.1.0',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = multiply(inverse(inverse(X1)),X1) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.74/1.08 [weight('<5,29,26,[1,0,0,2]>')]).
% 0.74/1.08 cnf('0.34.1.1',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = multiply(X1,inverse(inverse(X1))) ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.34.1.0','0.6.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.34.2.0',plain,
% 0.74/1.08 ( multiply(X1,inverse(inverse(X1))) = inverse(inverse(X1)) ),
% 0.74/1.08 inference(orient,[status(thm)],['0.34.1.1',theory(equality)]),
% 0.74/1.08 [x,rule_32]).
% 0.74/1.08 cnf('0.36.0.0',plain,
% 0.74/1.08 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.1','L')]).
% 0.74/1.08 cnf('0.36.1.0',plain,
% 0.74/1.08 ( multiply(X1,add(inverse(X1),X2)) = add(additive_identity,multiply(X1,X2)) ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.74/1.08 [weight('<6,8,7,[0,0,0,1]>')]).
% 0.74/1.08 cnf('0.36.1.1',plain,
% 0.74/1.08 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.36.1.0','0.9.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.36.2.0',plain,
% 0.74/1.08 ( multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2) ),
% 0.74/1.08 inference(orient,[status(thm)],['0.36.1.1',theory(equality)]),
% 0.74/1.08 [u,rule_34]).
% 0.74/1.08 cnf('0.37.0.0',plain,
% 0.74/1.08 ( multiply(X1,inverse(inverse(X1))) = multiply(X1,multiplicative_identity) ),
% 0.74/1.08 inference(cp,[status(thm)],['0.36.2.0','0.5.2.0',theory(equality)]),
% 0.74/1.08 [pos('L.2','L')]).
% 0.74/1.08 cnf('0.37.0.1',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = multiply(X1,multiplicative_identity) ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.37.0.0','0.34.2.0',theory(equality)]),
% 0.74/1.08 [pos('L','L')]).
% 0.74/1.08 cnf('0.37.0.2',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = X1 ),
% 0.74/1.08 inference(reduction,[status(thm)],['0.37.0.1','0.2.2.0',theory(equality)]),
% 0.74/1.08 [pos('R','L')]).
% 0.74/1.08 cnf('0.37.1.0',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = X1 ),
% 0.74/1.08 inference(weigh,[status(thm)],['0.37.0.2']),
% 0.74/1.08 [weight('<3,36,5,[1,0,0,2]>')]).
% 0.74/1.08 cnf('0.37.2.0',plain,
% 0.74/1.08 ( inverse(inverse(X1)) = X1 ),
% 0.74/1.08 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.74/1.08 [u,rule_35]).
% 0.74/1.08 cnf('1.0.0.0',conjecture,
% 0.74/1.08 ( inverse(inverse(x)) = x ),
% 0.74/1.08 file('/tmp/WALDMEISTER_22548_n025',conjecture_1)).
% 0.74/1.08 cnf('1.0.0.1',plain,
% 0.74/1.08 ( x = x ),
% 0.74/1.08 inference(reduction,[status(thm)],['1.0.0.0','0.37.2.0',theory(equality)]),
% 0.74/1.08 [pos('L','L')]).
% 0.74/1.08 cnf('1.0.0.2',plain,
% 0.74/1.08 ( $true ),
% 0.74/1.08 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.74/1.08 [conjecture_1]).
% 0.74/1.08
% 0.74/1.08 Proved Goals:
% 0.74/1.08 No. 1: inverse(inverse(x)) ?= x joined, current: x = x
% 0.74/1.08 1 goal was specified, which was proved.
% 0.74/1.08 % SZS output end CNFRefutation
% 0.74/1.08 #END OF PROOF
% 0.74/1.08
% 0.74/1.08 Problem WALDMEISTER_22548_n025
% 0.74/1.08 CPs.gen 334
% 0.74/1.08 CPs.reexp 0
% 0.74/1.08 Select 56
% 0.74/1.08 R 35
% 0.74/1.08 E 2
% 0.74/1.08 vsize 6.4M
% 0.74/1.08 rss 3.8M
% 0.74/1.08 process.time 0.003s
% 0.74/1.08 wallclock.time 0.003s
% 0.74/1.08 status S
% 0.74/1.08
% 0.74/1.08
% 0.74/1.08 Waldmeister states: Goal proved.
% 0.74/1.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------