TSTP Solution File: GRP592-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP592-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 : Sat Jul 16 12:27:03 EDT 2022
% Result : Unsatisfiable 0.55s 0.95s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP592-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.09 % Command : woody %s
% 0.08/0.28 % Computer : n009.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 12:12:38 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.55/0.94 ********************************************************************************
% 0.55/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.94 * |/ | \/ | *
% 0.55/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.94 * A. Jaeger and B. Loechner | | *
% 0.55/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.94 ********************************************************************************
% 0.55/0.94
% 0.55/0.94
% 0.55/0.94 Goals:
% 0.55/0.94 ------
% 0.55/0.94
% 0.55/0.94 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.55/0.94
% 0.55/0.94 Detected structure: Orkus
% 0.55/0.94 ********************************************************************************
% 0.55/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.94 ********************************************************************************
% 0.55/0.94
% 0.55/0.95 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.55/0.95 goal joined
% 0.55/0.95 % SZS status Unsatisfiable
% 0.55/0.95 #START OF PROOF
% 0.55/0.95 % SZS output start CNFRefutation
% 0.55/0.95 cnf('0.1.0.0',axiom,
% 0.55/0.95 ( X1 = double_divide(inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1))))),X3) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_5650_n009')).
% 0.55/0.95 cnf('0.1.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1))))),X3) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.55/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.1.2.0',plain,
% 0.55/0.95 ( double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X3))))),X2) = X3 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_1]).
% 0.55/0.95 cnf('0.2.0.0',axiom,
% 0.55/0.95 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_5650_n009')).
% 0.55/0.95 cnf('0.2.1.0',plain,
% 0.55/0.95 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.55/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.55/0.95 cnf('0.2.2.0',plain,
% 0.55/0.95 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_2]).
% 0.55/0.95 cnf('0.3.0.0',plain,
% 0.55/0.95 ( double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X3))))),X2) = X3 ),
% 0.55/0.95 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.55/0.95 cnf('0.3.0.1',plain,
% 0.55/0.95 ( double_divide(multiply(inverse(double_divide(X1,inverse(X3))),double_divide(X1,X2)),X2) = X3 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.3.0.2',plain,
% 0.55/0.95 ( double_divide(multiply(multiply(inverse(X3),X1),double_divide(X1,X2)),X2) = X3 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.1','L')]).
% 0.55/0.95 cnf('0.3.1.0',plain,
% 0.55/0.95 ( double_divide(multiply(multiply(inverse(X3),X1),double_divide(X1,X2)),X2) = X3 ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.3.0.2']),
% 0.55/0.95 [weight('<131,1,2,[0,0,0,0]>')]).
% 0.55/0.95 cnf('0.3.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,X3)),X3) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_3]).
% 0.55/0.95 cnf('0.4.0.0',plain,
% 0.55/0.95 ( multiply(X1,multiply(multiply(inverse(X2),X3),double_divide(X3,X1))) = inverse(X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.4.1.0',plain,
% 0.55/0.95 ( multiply(X1,multiply(multiply(inverse(X2),X3),double_divide(X3,X1))) = inverse(X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.55/0.95 [weight('<142,3,2,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.4.2.0',plain,
% 0.55/0.95 ( multiply(X1,multiply(multiply(inverse(X2),X3),double_divide(X3,X1))) = inverse(X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_4]).
% 0.55/0.95 cnf('0.5.0.0',plain,
% 0.55/0.95 ( double_divide(X1,X2) = double_divide(multiply(multiply(multiply(X2,X1),X3),double_divide(X3,X4)),X4) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.1.1','L')]).
% 0.55/0.95 cnf('0.5.1.0',plain,
% 0.55/0.95 ( double_divide(X1,X2) = double_divide(multiply(multiply(multiply(X2,X1),X3),double_divide(X3,X4)),X4) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.55/0.95 [weight('<179,3,2,[1,0,0,3]>')]).
% 0.55/0.95 cnf('0.5.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X4)),X4) = double_divide(X2,X1) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_5]).
% 0.55/0.95 cnf('0.7.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X4))),X2),X4) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.2','L')]).
% 0.55/0.95 cnf('0.7.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X4))),X2),X4) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.55/0.95 [weight('<271,3,3,[0,0,0,6]>')]).
% 0.55/0.95 cnf('0.7.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X4))),X2),X4) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_7]).
% 0.55/0.95 cnf('0.8.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X2),X2),inverse(X1)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.1','L')]).
% 0.55/0.95 cnf('0.8.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X2),X2),inverse(X1)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.55/0.95 [weight('<71,7,4,[1,0,0,2]>')]).
% 0.55/0.95 cnf('0.8.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(inverse(X1),X1),inverse(X2)) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_8]).
% 0.55/0.95 cnf('0.9.0.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(X1) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.9.1.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.55/0.95 [weight('<79,8,2,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.9.2.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(X1) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_9]).
% 0.55/0.95 cnf('0.10.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(multiply(inverse(X2),X2)),inverse(X1)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.8.2.0','0.9.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.10.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(multiply(inverse(X2),X2)),inverse(X1)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.55/0.95 [weight('<89,9,8,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.10.2.0',plain,
% 0.55/0.95 ( double_divide(inverse(multiply(inverse(X1),X1)),inverse(X2)) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_10]).
% 0.55/0.95 cnf('0.12.0.0',plain,
% 0.55/0.95 ( double_divide(X1,X2) = double_divide(multiply(inverse(X3),X3),multiply(X2,X1)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.2','L')]).
% 0.55/0.95 cnf('0.12.1.0',plain,
% 0.55/0.95 ( double_divide(X1,X2) = double_divide(multiply(inverse(X3),X3),multiply(X2,X1)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.55/0.95 [weight('<107,8,2,[1,0,0,5]>')]).
% 0.55/0.95 cnf('0.12.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(inverse(X1),X1),multiply(X2,X3)) = double_divide(X3,X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_12]).
% 0.55/0.95 cnf('0.13.0.0',plain,
% 0.55/0.95 ( inverse(double_divide(X1,X2)) = multiply(multiply(X2,X1),multiply(inverse(X3),X3)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.13.0.1',plain,
% 0.55/0.95 ( multiply(X2,X1) = multiply(multiply(X2,X1),multiply(inverse(X3),X3)) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.13.1.0',plain,
% 0.55/0.95 ( multiply(X2,X1) = multiply(multiply(X2,X1),multiply(inverse(X3),X3)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.55/0.95 [weight('<107,9,2,[1,0,0,1]>')]).
% 0.55/0.95 cnf('0.13.2.0',plain,
% 0.55/0.95 ( multiply(multiply(X1,X2),multiply(inverse(X3),X3)) = multiply(X1,X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_13]).
% 0.55/0.95 cnf('0.20.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),double_divide(X3,X4)),multiply(X4,X3)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.2','L')]).
% 0.55/0.95 cnf('0.20.0.1',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X1),double_divide(X3,X4)),multiply(X4,X3)) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.20.0.0','0.9.2.0',theory(equality)]),
% 0.55/0.95 [pos('R.1.1','L')]).
% 0.55/0.95 cnf('0.20.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X1),double_divide(X3,X4)),multiply(X4,X3)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.55/0.95 [weight('<131,12,3,[0,0,0,6]>')]).
% 0.55/0.95 cnf('0.20.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(inverse(X1),double_divide(X2,X3)),multiply(X3,X2)) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_20]).
% 0.55/0.95 cnf('0.21.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X1),X2),multiply(X3,multiply(multiply(inverse(X2),X4),double_divide(X4,X3)))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.2','L')]).
% 0.55/0.95 cnf('0.21.0.1',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X1),X2),inverse(X2)) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.21.0.0','0.4.2.0',theory(equality)]),
% 0.55/0.95 [pos('R.2','L')]).
% 0.55/0.95 cnf('0.21.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(multiply(inverse(X1),X2),inverse(X2)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.55/0.95 [weight('<71,20,3,[1,0,0,4]>')]).
% 0.55/0.95 cnf('0.21.2.0',plain,
% 0.55/0.95 ( double_divide(multiply(inverse(X1),X2),inverse(X2)) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_21]).
% 0.55/0.95 cnf('0.22.0.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),multiply(inverse(X2),X1)) = inverse(X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.2.2.0','0.21.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.22.1.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),multiply(inverse(X2),X1)) = inverse(X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.55/0.95 [weight('<79,21,2,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.22.2.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),multiply(inverse(X2),X1)) = inverse(X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_22]).
% 0.55/0.95 cnf('0.23.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(X1),inverse(multiply(inverse(X2),X2))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.21.2.0','0.9.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.23.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(X1),inverse(multiply(inverse(X2),X2))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.55/0.95 [weight('<89,21,9,[1,0,0,1]>')]).
% 0.55/0.95 cnf('0.23.2.0',plain,
% 0.55/0.95 ( double_divide(inverse(X1),inverse(multiply(inverse(X2),X2))) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_23]).
% 0.55/0.95 cnf('0.24.0.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.23.2.0','0.10.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.24.1.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.55/0.95 [weight('<80,23,10,[1,0,0,0]>')]).
% 0.55/0.95 cnf('0.24.2.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.24.1.0']),
% 0.55/0.95 [equation_1]).
% 0.55/0.95 cnf('0.24.2.1',plain,
% 0.55/0.95 ( multiply(inverse(X1),X1) = multiply(inverse(b),b) ),
% 0.55/0.95 inference(instr,[status(thm)],['0.24.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.24.2.2',plain,
% 0.55/0.95 ( multiply(inverse(b),b) = multiply(inverse(X1),X1) ),
% 0.55/0.95 inference(instl,[status(thm)],['0.24.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.25.0.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = double_divide(multiply(multiply(multiply(inverse(X2),X2),X3),double_divide(X3,X4)),X4) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.1.1','L')]).
% 0.55/0.95 cnf('0.25.0.1',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = double_divide(X2,inverse(X2)) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.25.0.0','0.5.2.0',theory(equality)]),
% 0.55/0.95 [pos('R','L')]).
% 0.55/0.95 cnf('0.25.1.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = double_divide(X2,inverse(X2)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.55/0.95 [weight('<80,24,5,[0,0,0,3]>')]).
% 0.55/0.95 cnf('0.25.2.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = double_divide(X2,inverse(X2)) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.25.1.0']),
% 0.55/0.95 [equation_2]).
% 0.55/0.95 cnf('0.25.2.1',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = double_divide(b,inverse(b)) ),
% 0.55/0.95 inference(instr,[status(thm)],['0.25.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.25.2.2',plain,
% 0.55/0.95 ( double_divide(b,inverse(b)) = double_divide(X1,inverse(X1)) ),
% 0.55/0.95 inference(instl,[status(thm)],['0.25.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.26.0.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.25.2.0','0.8.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.26.1.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.55/0.95 [weight('<80,25,8,[1,0,0,0]>')]).
% 0.55/0.95 cnf('0.26.2.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.26.1.0']),
% 0.55/0.95 [equation_3]).
% 0.55/0.95 cnf('0.26.2.1',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X1)) = multiply(inverse(b),b) ),
% 0.55/0.95 inference(instr,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.26.2.2',plain,
% 0.55/0.95 ( double_divide(b,inverse(b)) = multiply(inverse(X1),X1) ),
% 0.55/0.95 inference(instl,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.55/0.95 cnf('0.29.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(X2),inverse(multiply(inverse(X2),X1))) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.29.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(inverse(X2),inverse(multiply(inverse(X2),X1))) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.55/0.95 [weight('<89,22,21,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.29.2.0',plain,
% 0.55/0.95 ( double_divide(inverse(X1),inverse(multiply(inverse(X1),X2))) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_26]).
% 0.55/0.95 cnf('0.30.0.0',plain,
% 0.55/0.95 ( X1 = multiply(inverse(multiply(inverse(X2),X2)),X1) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.29.2.0','0.10.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.30.1.0',plain,
% 0.55/0.95 ( X1 = multiply(inverse(multiply(inverse(X2),X2)),X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.55/0.95 [weight('<71,29,10,[1,0,0,0]>')]).
% 0.55/0.95 cnf('0.30.2.0',plain,
% 0.55/0.95 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_27]).
% 0.55/0.95 cnf('0.31.0.0',plain,
% 0.55/0.95 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(X2,multiply(inverse(X3),X3)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.13.2.0','0.30.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.31.0.1',plain,
% 0.55/0.95 ( X2 = multiply(X2,multiply(inverse(X3),X3)) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.31.1.0',plain,
% 0.55/0.95 ( X2 = multiply(X2,multiply(inverse(X3),X3)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.55/0.95 [weight('<55,30,13,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.31.2.0',plain,
% 0.55/0.95 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_28]).
% 0.55/0.95 cnf('0.32.0.0',plain,
% 0.55/0.95 ( X1 = multiply(inverse(double_divide(X2,inverse(X2))),X1) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.30.2.0','0.26.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.1','R')]).
% 0.55/0.95 cnf('0.32.0.1',plain,
% 0.55/0.95 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.32.0.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('R.1','L')]).
% 0.55/0.95 cnf('0.32.1.0',plain,
% 0.55/0.95 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.55/0.95 [weight('<55,30,26,[1,0,1,2]>')]).
% 0.55/0.95 cnf('0.32.2.0',plain,
% 0.55/0.95 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_29]).
% 0.55/0.95 cnf('0.33.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(double_divide(X1,X2),X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.3.2.0','0.32.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.33.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(double_divide(X1,X2),X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.55/0.95 [weight('<41,32,3,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.33.2.0',plain,
% 0.55/0.95 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_30]).
% 0.55/0.95 cnf('0.34.0.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.33.2.0','0.21.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.34.1.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.55/0.95 [weight('<44,33,21,[1,0,0,1]>')]).
% 0.55/0.95 cnf('0.34.2.0',plain,
% 0.55/0.95 ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_31]).
% 0.55/0.95 cnf('0.35.0.0',plain,
% 0.55/0.95 ( double_divide(inverse(X1),inverse(multiply(inverse(X2),X2))) = X1 ),
% 0.55/0.95 inference(interreduction_right,[status(thm)],['0.23.2.0'])).
% 0.55/0.95 cnf('0.35.0.1',plain,
% 0.55/0.95 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.35.0.2',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.35.0.1','0.31.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.35.1.0',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.55/0.95 [weight('<19,23,34,[0,0,0,0]>')]).
% 0.55/0.95 cnf('0.35.2.0',plain,
% 0.55/0.95 ( inverse(inverse(X1)) = X1 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_32]).
% 0.55/0.95 cnf('0.38.0.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.34.2.0','0.35.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.2','L')]).
% 0.55/0.95 cnf('0.38.1.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.55/0.95 [weight('<53,35,34,[0,0,0,2]>')]).
% 0.55/0.95 cnf('0.38.2.0',plain,
% 0.55/0.95 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_35]).
% 0.55/0.95 cnf('0.40.0.0',plain,
% 0.55/0.95 ( multiply(inverse(double_divide(X1,inverse(X2))),X2) = X1 ),
% 0.55/0.95 inference(cp,[status(thm)],['0.34.2.0','0.33.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.40.0.1',plain,
% 0.55/0.95 ( multiply(multiply(inverse(X2),X1),X2) = X1 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.40.0.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.40.1.0',plain,
% 0.55/0.95 ( multiply(multiply(inverse(X2),X1),X2) = X1 ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.55/0.95 [weight('<55,34,33,[1,0,0,0]>')]).
% 0.55/0.95 cnf('0.40.2.0',plain,
% 0.55/0.95 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_37]).
% 0.55/0.95 cnf('0.41.0.0',plain,
% 0.55/0.95 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.40.2.0','0.38.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.41.1.0',plain,
% 0.55/0.95 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.55/0.95 [weight('<47,40,38,[1,0,0,1]>')]).
% 0.55/0.95 cnf('0.41.2.0',plain,
% 0.55/0.95 ( multiply(double_divide(X1,X2),X1) = inverse(X2) ),
% 0.55/0.95 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_38]).
% 0.55/0.95 cnf('0.42.0.0',plain,
% 0.55/0.95 ( double_divide(X1,double_divide(X1,X2)) = double_divide(multiply(multiply(inverse(X2),X3),double_divide(X3,X4)),X4) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.5.2.0','0.41.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1.1.1','L')]).
% 0.55/0.95 cnf('0.42.0.1',plain,
% 0.55/0.95 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.42.0.0','0.3.2.0',theory(equality)]),
% 0.55/0.95 [pos('R','L')]).
% 0.55/0.95 cnf('0.42.1.0',plain,
% 0.55/0.95 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.55/0.95 [weight('<41,41,5,[0,0,0,3]>')]).
% 0.55/0.95 cnf('0.42.2.0',plain,
% 0.55/0.95 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.55/0.95 [u,rule_39]).
% 0.55/0.95 cnf('0.43.0.0',plain,
% 0.55/0.95 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.33.2.0','0.42.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.43.1.0',plain,
% 0.55/0.95 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.55/0.95 [weight('<41,42,33,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.43.2.0',plain,
% 0.55/0.95 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.55/0.95 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.55/0.95 [x,rule_40]).
% 0.55/0.95 cnf('0.48.0.0',plain,
% 0.55/0.95 ( inverse(double_divide(X1,X2)) = multiply(X1,X2) ),
% 0.55/0.95 inference(cp,[status(thm)],['0.41.2.0','0.43.2.0',theory(equality)]),
% 0.55/0.95 [pos('L.1','L')]).
% 0.55/0.95 cnf('0.48.0.1',plain,
% 0.55/0.95 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.55/0.95 inference(reduction,[status(thm)],['0.48.0.0','0.2.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('0.48.1.0',plain,
% 0.55/0.95 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.55/0.95 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.55/0.95 [weight('<48,43,41,[0,0,0,1]>')]).
% 0.55/0.95 cnf('0.48.2.0',plain,
% 0.55/0.95 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.55/0.95 inference(activate,[status(thm)],['0.48.1.0']),
% 0.55/0.95 [equation_5]).
% 0.55/0.95 cnf('1.0.0.0',conjecture,
% 0.55/0.95 ( multiply(a,b) = multiply(b,a) ),
% 0.55/0.95 file('/tmp/WALDMEISTER_5650_n009',conjecture_1)).
% 0.55/0.95 cnf('1.0.0.1',plain,
% 0.55/0.95 ( multiply(b,a) = multiply(b,a) ),
% 0.55/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.48.2.0',theory(equality)]),
% 0.55/0.95 [pos('L','L')]).
% 0.55/0.95 cnf('1.0.0.2',plain,
% 0.55/0.95 ( $true ),
% 0.55/0.95 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.55/0.95 [conjecture_1]).
% 0.55/0.95
% 0.55/0.95 Proved Goals:
% 0.55/0.95 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.55/0.95 1 goal was specified, which was proved.
% 0.55/0.95 % SZS output end CNFRefutation
% 0.55/0.95 #END OF PROOF
% 0.55/0.95
% 0.55/0.95 Problem WALDMEISTER_5650_n009
% 0.55/0.95 CPs.gen 847
% 0.55/0.95 CPs.reexp 0
% 0.55/0.95 Select 93
% 0.55/0.95 R 43
% 0.55/0.95 E 5
% 0.55/0.95 vsize 6.4M
% 0.55/0.95 rss 3.8M
% 0.55/0.95 process.time 0.005s
% 0.55/0.95 wallclock.time 0.005s
% 0.55/0.95 status S
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Waldmeister states: Goal proved.
% 0.55/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------