TSTP Solution File: BOO034-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% 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 23:52:54 EDT 2022
% Result : Unsatisfiable 0.58s 0.99s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % 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 18:50:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) ?=? b
% 0.58/0.98
% 0.58/0.98 Detected structure: TernaereBoolescheAlgebra
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.99 joined goal: 1 multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) ?= b to b
% 0.58/0.99 goal joined
% 0.58/0.99 % SZS status Unsatisfiable
% 0.58/0.99 #START OF PROOF
% 0.58/0.99 % SZS output start CNFRefutation
% 0.58/0.99 cnf('0.1.0.0',axiom,
% 0.58/0.99 ( X1 = multiply(X2,X1,X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_10083_n020')).
% 0.58/0.99 cnf('0.1.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X2,X1,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.1.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,X2) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_1]).
% 0.58/0.99 cnf('0.2.0.0',axiom,
% 0.58/0.99 ( X1 = multiply(X1,X2,inverse(X2)) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_10083_n020')).
% 0.58/0.99 cnf('0.2.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X1,X2,inverse(X2)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.99 cnf('0.2.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,inverse(X2)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_2]).
% 0.58/0.99 cnf('0.3.0.0',axiom,
% 0.58/0.99 ( X1 = multiply(X1,X1,X2) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_10083_n020')).
% 0.58/0.99 cnf('0.3.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X1,X1,X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.99 cnf('0.3.2.0',plain,
% 0.58/0.99 ( multiply(X1,X1,X2) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_3]).
% 0.58/0.99 cnf('0.4.0.0',axiom,
% 0.58/0.99 ( X1 = multiply(inverse(X2),X2,X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_10083_n020')).
% 0.58/0.99 cnf('0.4.1.0',plain,
% 0.58/0.99 ( X1 = multiply(inverse(X2),X2,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.99 cnf('0.4.2.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),X1,X2) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_4]).
% 0.58/0.99 cnf('0.5.0.0',axiom,
% 0.58/0.99 ( multiply(X1,X2,multiply(X3,X4,X5)) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_10083_n020')).
% 0.58/0.99 cnf('0.5.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(X3,X4,X5)) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.99 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/0.99 cnf('0.5.2.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_5]).
% 0.58/0.99 cnf('0.6.0.0',plain,
% 0.58/0.99 ( multiply(X1,X1,multiply(X2,X3,X4)) = multiply(X1,X3,multiply(X1,X1,X4)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.6.0.1',plain,
% 0.58/0.99 ( X1 = multiply(X1,X3,multiply(X1,X1,X4)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.6.0.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.6.0.2',plain,
% 0.58/0.99 ( X1 = multiply(X1,X3,X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.6.0.1','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.3','L')]).
% 0.58/0.99 cnf('0.6.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X1,X3,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.6.0.2']),
% 0.58/0.99 [weight('<4,5,3,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.6.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_6]).
% 0.58/0.99 cnf('0.7.0.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3','L')]).
% 0.58/0.99 cnf('0.7.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.99 [weight('<7,5,1,[1,0,0,6]>')]).
% 0.58/0.99 cnf('0.7.2.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_7]).
% 0.58/0.99 cnf('0.8.0.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3','L')]).
% 0.58/0.99 cnf('0.8.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.99 [weight('<7,6,5,[0,0,0,6]>')]).
% 0.58/0.99 cnf('0.8.2.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2,X3),X4,X1) = multiply(X1,X2,multiply(X3,X4,X1)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_8]).
% 0.58/0.99 cnf('0.11.0.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.11.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.99 [weight('<8,7,2,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.11.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_11]).
% 0.58/0.99 cnf('0.12.0.0',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2),X2) = multiply(X1,X2,inverse(X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3','L')]).
% 0.58/0.99 cnf('0.12.0.1',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2),X2) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.12.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.12.1.0',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2),X2) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.58/0.99 [weight('<5,11,3,[1,0,0,3]>')]).
% 0.58/0.99 cnf('0.12.2.0',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2),X2) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_12]).
% 0.58/0.99 cnf('0.13.0.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.13.1.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/0.99 [weight('<3,12,4,[1,0,0,0]>')]).
% 0.58/0.99 cnf('0.13.2.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_13]).
% 0.58/0.99 cnf('0.14.0.0',plain,
% 0.58/0.99 ( X1 = multiply(X2,inverse(X2),X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.4.2.0','0.13.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.14.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X2,inverse(X2),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.58/0.99 [weight('<5,13,4,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.14.2.0',plain,
% 0.58/0.99 ( multiply(X1,inverse(X1),X2) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_14]).
% 0.58/0.99 cnf('0.16.0.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,multiply(X3,X1,X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.16.0.1',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.3','L')]).
% 0.58/0.99 cnf('0.16.1.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.58/0.99 [weight('<8,11,5,[1,0,0,0]>')]).
% 0.58/0.99 cnf('0.16.2.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_16]).
% 0.58/0.99 cnf('0.17.0.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),X2,X1) = multiply(X2,X2,X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.16.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.17.0.1',plain,
% 0.58/0.99 ( multiply(inverse(X1),X2,X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.17.0.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.17.1.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),X2,X1) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.58/0.99 [weight('<5,16,1,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.17.2.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),X2,X1) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_17]).
% 0.58/0.99 cnf('0.18.0.0',plain,
% 0.58/0.99 ( X1 = multiply(X2,X1,inverse(X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.17.2.0','0.13.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.18.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X2,X1,inverse(X2)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.58/0.99 [weight('<5,17,13,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.18.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,inverse(X1)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_18]).
% 0.58/0.99 cnf('0.19.0.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.58/0.99 cnf('0.19.0.1',plain,
% 0.58/0.99 ( multiply(X1,X2,X3) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.19.0.0','0.17.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3','L')]).
% 0.58/0.99 cnf('0.19.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2,X3) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.58/0.99 [weight('<8,11,17,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.19.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,X3) = multiply(X1,X3,X2) ),
% 0.58/0.99 inference(activate,[status(thm)],['0.19.1.0']),
% 0.58/0.99 [equation_1]).
% 0.58/0.99 cnf('0.34.0.0',plain,
% 0.58/0.99 ( multiply(X1,X2,multiply(inverse(X1),X3,X1)) = multiply(X2,X3,X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.8.2.0','0.18.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.34.0.1',plain,
% 0.58/0.99 ( multiply(X1,X2,X3) = multiply(X2,X3,X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.34.0.0','0.17.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3','L')]).
% 0.58/0.99 cnf('0.34.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2,X3) = multiply(X2,X3,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.58/0.99 [weight('<8,18,8,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.34.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2,X3) = multiply(X2,X3,X1) ),
% 0.58/0.99 inference(activate,[status(thm)],['0.34.1.0']),
% 0.58/0.99 [equation_2]).
% 0.58/0.99 cnf('1.0.0.0',conjecture,
% 0.58/0.99 ( multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) = b ),
% 0.58/0.99 file('/tmp/WALDMEISTER_10083_n020',conjecture_1)).
% 0.58/0.99 cnf('1.0.0.1',plain,
% 0.58/0.99 ( multiply(multiply(a,inverse(a),b),multiply(d,multiply(g,f,e),c),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.19.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('1.0.0.2',plain,
% 0.58/0.99 ( multiply(b,multiply(d,multiply(g,f,e),c),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.1','0.14.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('1.0.0.3',plain,
% 0.58/0.99 ( multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.2','0.19.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('1.0.0.4',plain,
% 0.58/0.99 ( multiply(b,multiply(d,c,multiply(g,e,f)),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.3','0.19.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2.3','L')]).
% 0.58/0.99 cnf('1.0.0.5',plain,
% 0.58/0.99 ( multiply(b,multiply(d,c,multiply(g,e,f)),inverse(multiply(c,d,multiply(e,f,g)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.4','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3.1','L')]).
% 0.58/0.99 cnf('1.0.0.6',plain,
% 0.58/0.99 ( multiply(b,multiply(d,c,multiply(g,e,f)),inverse(multiply(d,multiply(e,f,g),c))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.5','0.34.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3.1','L')]).
% 0.58/0.99 cnf('1.0.0.7',plain,
% 0.58/0.99 ( multiply(b,multiply(d,c,multiply(g,e,f)),inverse(multiply(d,c,multiply(e,f,g)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.6','0.19.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3.1','L')]).
% 0.58/0.99 cnf('1.0.0.8',plain,
% 0.58/0.99 ( multiply(b,multiply(d,c,multiply(g,e,f)),inverse(multiply(d,c,multiply(g,e,f)))) = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.7','0.34.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.3.1.3','R')]).
% 0.58/0.99 cnf('1.0.0.9',plain,
% 0.58/0.99 ( b = b ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.8','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('1.0.0.10',plain,
% 0.58/0.99 ( $true ),
% 0.58/0.99 inference(trivial,[status(thm)],['1.0.0.9',theory(equality)]),
% 0.58/0.99 [conjecture_1]).
% 0.58/0.99
% 0.58/0.99 Proved Goals:
% 0.58/0.99 No. 1: multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) ?= b joined, current: b = b
% 0.58/0.99 1 goal was specified, which was proved.
% 0.58/0.99 % SZS output end CNFRefutation
% 0.58/0.99 #END OF PROOF
% 0.58/0.99
% 0.58/0.99 Problem WALDMEISTER_10083_n020
% 0.58/0.99 CPs.gen 894
% 0.58/0.99 CPs.reexp 0
% 0.58/0.99 Select 71
% 0.58/0.99 R 32
% 0.58/0.99 E 2
% 0.58/0.99 vsize 6.6M
% 0.58/0.99 rss 3.9M
% 0.58/0.99 process.time 0.006s
% 0.58/0.99 wallclock.time 0.006s
% 0.58/0.99 status S
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Waldmeister states: Goal proved.
% 0.58/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------