TSTP Solution File: GRP495-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 12:26:38 EDT 2022
% Result : Unsatisfiable 0.56s 0.97s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 13:56:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.56/0.96
% 0.56/0.96 Detected structure: Orkus
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.97 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.56/0.97 goal joined
% 0.56/0.97 % SZS status Unsatisfiable
% 0.56/0.97 #START OF PROOF
% 0.56/0.97 % SZS output start CNFRefutation
% 0.56/0.97 cnf('0.1.0.0',axiom,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,X3),double_divide(identity,identity)),double_divide(X2,X3))) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_14279_n028')).
% 0.56/0.97 cnf('0.1.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,X3),double_divide(identity,identity)),double_divide(X2,X3))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.1.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_1]).
% 0.56/0.97 cnf('0.2.0.0',axiom,
% 0.56/0.97 ( double_divide(X1,identity) = inverse(X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_14279_n028')).
% 0.56/0.97 cnf('0.2.1.0',plain,
% 0.56/0.97 ( double_divide(X1,identity) = inverse(X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.2.2.0',plain,
% 0.56/0.97 ( double_divide(X1,identity) = inverse(X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_2]).
% 0.56/0.97 cnf('0.3.0.0',axiom,
% 0.56/0.97 ( double_divide(X1,inverse(X1)) = identity ),
% 0.56/0.97 file('/tmp/WALDMEISTER_14279_n028')).
% 0.56/0.97 cnf('0.3.1.0',plain,
% 0.56/0.97 ( double_divide(X1,inverse(X1)) = identity ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.56/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.56/0.97 cnf('0.3.2.0',plain,
% 0.56/0.97 ( double_divide(X1,inverse(X1)) = identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_3]).
% 0.56/0.97 cnf('0.4.0.0',axiom,
% 0.56/0.97 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_14279_n028')).
% 0.56/0.97 cnf('0.4.1.0',plain,
% 0.56/0.97 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.56/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.56/0.97 cnf('0.4.1.1',plain,
% 0.56/0.97 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.4.2.0',plain,
% 0.56/0.97 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.56/0.97 [u,rule_4]).
% 0.56/0.97 cnf('0.5.0.0',plain,
% 0.56/0.97 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.5.1.0',plain,
% 0.56/0.97 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.97 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.5.2.0',plain,
% 0.56/0.97 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_5]).
% 0.56/0.97 cnf('0.8.0.0',plain,
% 0.56/0.97 ( identity = double_divide(inverse(X1),multiply(identity,X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.8.1.0',plain,
% 0.56/0.97 ( identity = double_divide(inverse(X1),multiply(identity,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.97 [weight('<55,5,3,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.8.2.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),multiply(identity,X1)) = identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_8]).
% 0.56/0.97 cnf('0.9.0.0',plain,
% 0.56/0.97 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.9.1.0',plain,
% 0.56/0.97 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/0.97 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.9.2.0',plain,
% 0.56/0.97 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_9]).
% 0.56/0.97 cnf('0.11.0.0',plain,
% 0.56/0.97 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.11.1.0',plain,
% 0.56/0.97 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/0.97 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.11.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_11]).
% 0.56/0.97 cnf('0.19.0.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.56/0.97 cnf('0.19.0.1',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1.2','L')]).
% 0.56/0.97 cnf('0.19.1.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.56/0.97 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.19.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_19]).
% 0.56/0.97 cnf('0.20.0.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X2),double_divide(double_divide(identity,inverse(identity)),double_divide(X2,inverse(X1)))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1.1','L')]).
% 0.56/0.97 cnf('0.20.0.1',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X2,inverse(X1)))) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.20.0.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2.1','L')]).
% 0.56/0.97 cnf('0.20.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X2,inverse(X1)))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.56/0.97 [weight('<131,19,3,[1,0,0,6]>')]).
% 0.56/0.97 cnf('0.20.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,inverse(X2)))) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_20]).
% 0.56/0.97 cnf('0.21.0.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,identity)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.21.0.1',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X1),inverse(identity)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2','L')]).
% 0.56/0.97 cnf('0.21.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,X1),inverse(identity)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.56/0.97 [weight('<55,20,3,[1,0,0,6]>')]).
% 0.56/0.97 cnf('0.21.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),inverse(identity)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_21]).
% 0.56/0.97 cnf('0.22.0.0',plain,
% 0.56/0.97 ( inverse(identity) = double_divide(identity,inverse(identity)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.21.2.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.22.0.1',plain,
% 0.56/0.97 ( inverse(identity) = identity ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.22.0.0','0.3.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.22.1.0',plain,
% 0.56/0.97 ( inverse(identity) = identity ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.56/0.97 [weight('<11,21,3,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.22.2.0',plain,
% 0.56/0.97 ( inverse(identity) = identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_22]).
% 0.56/0.97 cnf('0.23.0.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),inverse(identity)) = X1 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.56/0.97 cnf('0.23.0.1',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),identity) = X1 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.23.0.0','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.23.0.2',plain,
% 0.56/0.97 ( inverse(double_divide(identity,X1)) = X1 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.23.0.1','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.23.0.3',plain,
% 0.56/0.97 ( multiply(X1,identity) = X1 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.23.0.2','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.23.1.0',plain,
% 0.56/0.97 ( multiply(X1,identity) = X1 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.23.0.3']),
% 0.56/0.97 [weight('<19,21,22,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.23.2.0',plain,
% 0.56/0.97 ( multiply(X1,identity) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_23]).
% 0.56/0.97 cnf('0.25.0.0',plain,
% 0.56/0.97 ( identity = double_divide(double_divide(identity,X1),X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.11.2.0','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.25.1.0',plain,
% 0.56/0.97 ( identity = double_divide(double_divide(identity,X1),X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.56/0.97 [weight('<41,23,11,[0,0,0,4]>')]).
% 0.56/0.97 cnf('0.25.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),X1) = identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_25]).
% 0.56/0.97 cnf('0.26.0.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),double_divide(identity,identity)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.20.2.0','0.25.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.26.0.1',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2','L')]).
% 0.56/0.97 cnf('0.26.0.2',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),identity) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.26.0.1','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2','L')]).
% 0.56/0.97 cnf('0.26.0.3',plain,
% 0.56/0.97 ( X1 = inverse(double_divide(identity,double_divide(identity,inverse(X1)))) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.26.0.2','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.26.0.4',plain,
% 0.56/0.97 ( X1 = multiply(double_divide(identity,inverse(X1)),identity) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.26.0.3','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.26.0.5',plain,
% 0.56/0.97 ( X1 = double_divide(identity,inverse(X1)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.26.0.4','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.26.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(identity,inverse(X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.26.0.5']),
% 0.56/0.97 [weight('<29,25,20,[0,0,0,6]>')]).
% 0.56/0.97 cnf('0.26.2.0',plain,
% 0.56/0.97 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_26]).
% 0.56/0.97 cnf('0.28.0.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(identity,identity),double_divide(identity,X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.20.2.0','0.26.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.28.0.1',plain,
% 0.56/0.97 ( X1 = double_divide(inverse(identity),double_divide(identity,X1)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.28.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.1','L')]).
% 0.56/0.97 cnf('0.28.0.2',plain,
% 0.56/0.97 ( X1 = double_divide(identity,double_divide(identity,X1)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.28.0.1','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.1','L')]).
% 0.56/0.97 cnf('0.28.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(identity,double_divide(identity,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.28.0.2']),
% 0.56/0.97 [weight('<41,26,20,[0,0,0,6]>')]).
% 0.56/0.97 cnf('0.28.2.0',plain,
% 0.56/0.97 ( double_divide(identity,double_divide(identity,X1)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_28]).
% 0.56/0.97 cnf('0.29.0.0',plain,
% 0.56/0.97 ( inverse(multiply(double_divide(identity,X1),identity)) = multiply(identity,X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.9.2.0','0.28.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.29.0.1',plain,
% 0.56/0.97 ( inverse(double_divide(identity,X1)) = multiply(identity,X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.29.0.0','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.29.0.2',plain,
% 0.56/0.97 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.29.0.1','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.29.0.3',plain,
% 0.56/0.97 ( X1 = multiply(identity,X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.29.0.2','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.29.1.0',plain,
% 0.56/0.97 ( X1 = multiply(identity,X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.29.0.3']),
% 0.56/0.97 [weight('<19,28,9,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.29.2.0',plain,
% 0.56/0.97 ( multiply(identity,X1) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_29]).
% 0.56/0.97 cnf('0.30.0.0',plain,
% 0.56/0.97 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.56/0.97 cnf('0.30.0.1',plain,
% 0.56/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.30.1.0',plain,
% 0.56/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.56/0.97 [weight('<19,5,29,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.30.2.0',plain,
% 0.56/0.97 ( inverse(inverse(X1)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_30]).
% 0.56/0.97 cnf('0.31.0.0',plain,
% 0.56/0.97 ( multiply(double_divide(identity,X1),identity) = inverse(X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.28.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.31.0.1',plain,
% 0.56/0.97 ( double_divide(identity,X1) = inverse(X1) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.31.0.0','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.31.1.0',plain,
% 0.56/0.97 ( double_divide(identity,X1) = inverse(X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.56/0.97 [weight('<23,28,4,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.31.2.0',plain,
% 0.56/0.97 ( double_divide(identity,X1) = inverse(X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_31]).
% 0.56/0.97 cnf('0.32.0.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),multiply(identity,X1)) = identity ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.56/0.97 cnf('0.32.0.1',plain,
% 0.56/0.97 ( double_divide(inverse(X1),X1) = identity ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.32.0.0','0.29.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.32.1.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),X1) = identity ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.56/0.97 [weight('<29,8,29,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.32.2.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),X1) = identity ),
% 0.56/0.97 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_32]).
% 0.56/0.97 cnf('0.34.0.0',plain,
% 0.56/0.97 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.56/0.97 cnf('0.34.0.1',plain,
% 0.56/0.97 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.34.0.0','0.29.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.34.1.0',plain,
% 0.56/0.97 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.56/0.97 [weight('<39,9,29,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.34.2.0',plain,
% 0.56/0.97 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_34]).
% 0.56/0.97 cnf('0.36.0.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,inverse(X2)))) = X2 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.56/0.97 cnf('0.36.0.1',plain,
% 0.56/0.97 ( double_divide(inverse(X1),double_divide(identity,double_divide(X1,inverse(X2)))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.36.0.0','0.31.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.36.0.2',plain,
% 0.56/0.97 ( double_divide(inverse(X1),inverse(double_divide(X1,inverse(X2)))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.36.0.1','0.31.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.36.0.3',plain,
% 0.56/0.97 ( double_divide(inverse(X1),multiply(inverse(X2),X1)) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.36.0.2','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.36.1.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),multiply(inverse(X2),X1)) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.36.0.3']),
% 0.56/0.97 [weight('<71,20,31,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.36.2.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),multiply(inverse(X2),X1)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_36]).
% 0.56/0.97 cnf('0.37.0.0',plain,
% 0.56/0.97 ( inverse(X1) = double_divide(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.36.2.0','0.30.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1','L')]).
% 0.56/0.97 cnf('0.37.1.0',plain,
% 0.56/0.97 ( inverse(X1) = double_divide(inverse(X2),multiply(X1,X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.56/0.97 [weight('<62,36,30,[1,0,0,4]>')]).
% 0.56/0.97 cnf('0.37.2.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),multiply(X2,X1)) = inverse(X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_37]).
% 0.56/0.97 cnf('0.38.0.0',plain,
% 0.56/0.97 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.37.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.38.0.1',plain,
% 0.56/0.97 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.38.0.0','0.30.2.0',theory(equality)]),
% 0.56/0.97 [pos('R','L')]).
% 0.56/0.97 cnf('0.38.1.0',plain,
% 0.56/0.97 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.56/0.97 [weight('<55,37,4,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.38.2.0',plain,
% 0.56/0.97 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_38]).
% 0.56/0.97 cnf('0.39.0.0',plain,
% 0.56/0.97 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.38.2.0','0.30.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.39.1.0',plain,
% 0.56/0.97 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.56/0.97 [weight('<55,38,30,[1,0,0,4]>')]).
% 0.56/0.97 cnf('0.39.2.0',plain,
% 0.56/0.97 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_39]).
% 0.56/0.97 cnf('0.40.0.0',plain,
% 0.56/0.97 ( inverse(X1) = double_divide(X2,multiply(X1,inverse(X2))) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.37.2.0','0.30.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.40.1.0',plain,
% 0.56/0.97 ( inverse(X1) = double_divide(X2,multiply(X1,inverse(X2))) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.56/0.97 [weight('<62,37,30,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.40.2.0',plain,
% 0.56/0.97 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_40]).
% 0.56/0.97 cnf('0.47.0.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.56/0.97 cnf('0.47.0.1',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),identity),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.47.0.0','0.22.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1.2','L')]).
% 0.56/0.97 cnf('0.47.0.2',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(inverse(double_divide(X2,X3)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.47.0.1','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1','L')]).
% 0.56/0.97 cnf('0.47.0.3',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(multiply(X3,X2),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.47.0.2','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1','L')]).
% 0.56/0.97 cnf('0.47.1.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(multiply(X3,X2),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.47.0.3']),
% 0.56/0.97 [weight('<155,19,22,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.47.1.1',plain,
% 0.56/0.97 ( double_divide(inverse(X1),double_divide(multiply(X3,X2),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.47.1.0','0.31.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.47.2.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),double_divide(multiply(X2,X3),double_divide(X1,X2))) = X3 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.47.1.1',theory(equality)]),
% 0.56/0.97 [u,rule_47]).
% 0.56/0.97 cnf('0.48.0.0',plain,
% 0.56/0.97 ( X1 = double_divide(inverse(inverse(X2)),double_divide(multiply(X2,X1),identity)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.47.2.0','0.32.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.48.0.1',plain,
% 0.56/0.97 ( X1 = double_divide(X2,double_divide(multiply(X2,X1),identity)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.48.0.0','0.30.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.1','L')]).
% 0.56/0.97 cnf('0.48.0.2',plain,
% 0.56/0.97 ( X1 = double_divide(X2,inverse(multiply(X2,X1))) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.48.0.1','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2','L')]).
% 0.56/0.97 cnf('0.48.0.3',plain,
% 0.56/0.97 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.48.0.2','0.34.2.0',theory(equality)]),
% 0.56/0.97 [pos('R.2','L')]).
% 0.56/0.97 cnf('0.48.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.48.0.3']),
% 0.56/0.97 [weight('<41,47,32,[1,0,0,7]>')]).
% 0.56/0.97 cnf('0.48.2.0',plain,
% 0.56/0.97 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_48]).
% 0.56/0.97 cnf('0.49.0.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(X2,X1),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.48.2.0','0.48.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.49.1.0',plain,
% 0.56/0.97 ( X1 = double_divide(double_divide(X2,X1),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.56/0.97 [weight('<41,48,48,[0,0,0,2]>')]).
% 0.56/0.97 cnf('0.49.2.0',plain,
% 0.56/0.97 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_49]).
% 0.56/0.97 cnf('0.50.0.0',plain,
% 0.56/0.97 ( multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.49.2.0','0.40.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.50.1.0',plain,
% 0.56/0.97 ( multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.56/0.97 [weight('<44,49,40,[1,0,0,1]>')]).
% 0.56/0.97 cnf('0.50.2.0',plain,
% 0.56/0.97 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_50]).
% 0.56/0.97 cnf('0.52.0.0',plain,
% 0.56/0.97 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.4.2.0','0.48.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.52.1.0',plain,
% 0.56/0.97 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.56/0.97 [weight('<47,48,4,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.52.2.0',plain,
% 0.56/0.97 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_52]).
% 0.56/0.97 cnf('0.53.0.0',plain,
% 0.56/0.97 ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.39.2.0','0.52.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.53.1.0',plain,
% 0.56/0.97 ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.56/0.97 [weight('<44,52,39,[0,0,0,1]>')]).
% 0.56/0.97 cnf('0.53.2.0',plain,
% 0.56/0.97 ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_53]).
% 0.56/0.97 cnf('0.54.0.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.56/0.97 cnf('0.54.0.1',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1.2','L')]).
% 0.56/0.97 cnf('0.54.1.0',plain,
% 0.56/0.97 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.56/0.97 [weight('<?,1,2,[0,0,0,0]>')]).
% 0.56/0.97 cnf('0.54.1.1',plain,
% 0.56/0.97 ( double_divide(inverse(X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.1.0','0.31.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.54.1.2',plain,
% 0.56/0.97 ( multiply(X1,inverse(double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3)))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.1.1','0.50.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.54.1.3',plain,
% 0.56/0.97 ( multiply(X1,multiply(double_divide(X1,X3),double_divide(double_divide(X2,X3),inverse(identity)))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.1.2','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.54.1.4',plain,
% 0.56/0.97 ( multiply(X1,multiply(double_divide(X1,X3),multiply(inverse(double_divide(X2,X3)),identity))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.1.3','0.53.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.54.1.5',plain,
% 0.56/0.97 ( multiply(X1,multiply(double_divide(X1,X3),inverse(double_divide(X2,X3)))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.1.4','0.23.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.54.1.6',plain,
% 0.56/0.97 ( multiply(X1,multiply(double_divide(X1,X3),multiply(X3,X2))) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.54.1.5','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.54.2.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(double_divide(X1,X2),multiply(X2,X3))) = X3 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.54.1.6',theory(equality)]),
% 0.56/0.97 [u,rule_54]).
% 0.56/0.97 cnf('0.56.0.0',plain,
% 0.56/0.97 ( multiply(X1,inverse(double_divide(X2,inverse(X1)))) = X2 ),
% 0.56/0.97 inference(cp,[status(thm)],['0.50.2.0','0.48.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('0.56.0.1',plain,
% 0.56/0.97 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.56.0.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2','L')]).
% 0.56/0.97 cnf('0.56.1.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.56/0.97 [weight('<55,50,48,[1,0,0,0]>')]).
% 0.56/0.97 cnf('0.56.2.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.56/0.97 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_56]).
% 0.56/0.97 cnf('0.63.0.0',plain,
% 0.56/0.97 ( multiply(inverse(X1),X2) = multiply(X3,multiply(double_divide(X3,X1),X2)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.54.2.0','0.56.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.2','L')]).
% 0.56/0.97 cnf('0.63.1.0',plain,
% 0.56/0.97 ( multiply(inverse(X1),X2) = multiply(X3,multiply(double_divide(X3,X1),X2)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.56/0.97 [weight('<95,56,54,[0,0,0,6]>')]).
% 0.56/0.97 cnf('0.63.2.0',plain,
% 0.56/0.97 ( multiply(X1,multiply(double_divide(X1,X2),X3)) = multiply(inverse(X2),X3) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.56/0.97 [x,rule_63]).
% 0.56/0.97 cnf('0.64.0.0',plain,
% 0.56/0.97 ( multiply(inverse(double_divide(X1,X2)),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.56/0.97 inference(cp,[status(thm)],['0.63.2.0','0.48.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.2.1','L')]).
% 0.56/0.97 cnf('0.64.0.1',plain,
% 0.56/0.97 ( multiply(multiply(X2,X1),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['0.64.0.0','0.4.2.0',theory(equality)]),
% 0.56/0.97 [pos('L.1','L')]).
% 0.56/0.97 cnf('0.64.1.0',plain,
% 0.56/0.97 ( multiply(multiply(X2,X1),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.56/0.97 inference(weigh,[status(thm)],['0.64.0.1']),
% 0.56/0.97 [weight('<65,63,48,[1,0,0,3]>')]).
% 0.56/0.97 cnf('0.64.2.0',plain,
% 0.56/0.97 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.56/0.97 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.56/0.97 [u,rule_64]).
% 0.56/0.97 cnf('1.0.0.0',conjecture,
% 0.56/0.97 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.56/0.97 file('/tmp/WALDMEISTER_14279_n028',conjecture_1)).
% 0.56/0.97 cnf('1.0.0.1',plain,
% 0.56/0.97 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.56/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.64.2.0',theory(equality)]),
% 0.56/0.97 [pos('L','L')]).
% 0.56/0.97 cnf('1.0.0.2',plain,
% 0.56/0.97 ( $true ),
% 0.56/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.56/0.97 [conjecture_1]).
% 0.56/0.97
% 0.56/0.97 Proved Goals:
% 0.56/0.97 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.56/0.97 1 goal was specified, which was proved.
% 0.56/0.97 % SZS output end CNFRefutation
% 0.56/0.97 #END OF PROOF
% 0.56/0.97
% 0.56/0.97 Problem WALDMEISTER_14279_n028
% 0.56/0.97 CPs.gen 966
% 0.56/0.97 CPs.reexp 0
% 0.56/0.97 Select 163
% 0.56/0.97 R 64
% 0.56/0.97 E 0
% 0.56/0.97 vsize 6.5M
% 0.56/0.97 rss 3.8M
% 0.56/0.97 process.time 0.006s
% 0.56/0.97 wallclock.time 0.006s
% 0.56/0.97 status S
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Waldmeister states: Goal proved.
% 0.56/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------