TSTP Solution File: GRP567-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 12:26:56 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
% 0.03/0.13 % Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : woody %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 17:13:42 EDT 2022
% 0.14/0.36 % 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(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.58/0.98
% 0.58/0.98 Detected structure: Orkus
% 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(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 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 = double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(identity,X3))),double_divide(identity,identity)) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_11839_n021')).
% 0.58/0.99 cnf('0.1.1.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(identity,X3))),double_divide(identity,identity)) ),
% 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 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = 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 ( double_divide(X1,identity) = inverse(X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_11839_n021')).
% 0.58/0.99 cnf('0.2.1.0',plain,
% 0.58/0.99 ( double_divide(X1,identity) = inverse(X1) ),
% 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 ( double_divide(X1,identity) = inverse(X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_2]).
% 0.58/0.99 cnf('0.3.0.0',axiom,
% 0.58/0.99 ( double_divide(X1,inverse(X1)) = identity ),
% 0.58/0.99 file('/tmp/WALDMEISTER_11839_n021')).
% 0.58/0.99 cnf('0.3.1.0',plain,
% 0.58/0.99 ( double_divide(X1,inverse(X1)) = identity ),
% 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 ( double_divide(X1,inverse(X1)) = identity ),
% 0.58/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_3]).
% 0.58/0.99 cnf('0.4.0.0',axiom,
% 0.58/0.99 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_11839_n021')).
% 0.58/0.99 cnf('0.4.1.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,X2),identity) = multiply(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('0.4.1.1',plain,
% 0.58/0.99 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.4.2.0',plain,
% 0.58/0.99 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.58/0.99 [u,rule_4]).
% 0.58/0.99 cnf('0.5.0.0',plain,
% 0.58/0.99 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.5.1.0',plain,
% 0.58/0.99 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.99 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.5.2.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 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('0.9.0.0',plain,
% 0.58/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.9.1.0',plain,
% 0.58/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/0.99 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.9.2.0',plain,
% 0.58/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_9]).
% 0.58/0.99 cnf('0.19.0.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = X2 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/0.99 cnf('0.19.0.1',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.19.1.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.58/0.99 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.19.2.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_19]).
% 0.58/0.99 cnf('0.20.0.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X2,inverse(identity))),identity)),inverse(identity)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.2','L')]).
% 0.58/0.99 cnf('0.20.0.1',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,inverse(double_divide(X1,double_divide(X2,inverse(identity))))),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2','L')]).
% 0.58/0.99 cnf('0.20.0.2',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,multiply(double_divide(X2,inverse(identity)),X1)),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.20.0.1','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2','L')]).
% 0.58/0.99 cnf('0.20.1.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,multiply(double_divide(X2,inverse(identity)),X1)),inverse(identity)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.20.0.2']),
% 0.58/0.99 [weight('<155,19,3,[1,0,0,9]>')]).
% 0.58/0.99 cnf('0.20.2.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,multiply(double_divide(X1,inverse(identity)),X2)),inverse(identity)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_20]).
% 0.58/0.99 cnf('0.26.0.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),double_divide(identity,identity))),inverse(identity)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.19.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.1.2','L')]).
% 0.58/0.99 cnf('0.26.0.1',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),inverse(identity))),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2.2','L')]).
% 0.58/0.99 cnf('0.26.1.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),inverse(identity))),inverse(identity)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.58/0.99 [weight('<181,19,2,[1,0,0,6]>')]).
% 0.58/0.99 cnf('0.26.2.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),inverse(identity))),inverse(identity)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_26]).
% 0.58/0.99 cnf('0.27.0.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X1,double_divide(identity,inverse(identity))),inverse(identity)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.1','L')]).
% 0.58/0.99 cnf('0.27.0.1',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(X1,identity),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.27.0.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2','L')]).
% 0.58/0.99 cnf('0.27.0.2',plain,
% 0.58/0.99 ( X1 = double_divide(inverse(X1),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.27.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1','L')]).
% 0.58/0.99 cnf('0.27.1.0',plain,
% 0.58/0.99 ( X1 = double_divide(inverse(X1),inverse(identity)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.58/0.99 [weight('<41,26,3,[1,0,0,4]>')]).
% 0.58/0.99 cnf('0.27.2.0',plain,
% 0.58/0.99 ( double_divide(inverse(X1),inverse(identity)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_27]).
% 0.58/0.99 cnf('0.32.0.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(X1,X2),double_divide(identity,inverse(identity)))),inverse(identity)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.19.2.0','0.27.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.1.2','L')]).
% 0.58/0.99 cnf('0.32.0.1',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(X1,X2),identity)),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.32.0.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2.2','L')]).
% 0.58/0.99 cnf('0.32.0.2',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(inverse(X2),inverse(double_divide(X1,X2))),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.32.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2','L')]).
% 0.58/0.99 cnf('0.32.0.3',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(inverse(X2),multiply(X2,X1)),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.32.0.2','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1.2','L')]).
% 0.58/0.99 cnf('0.32.1.0',plain,
% 0.58/0.99 ( X1 = double_divide(double_divide(inverse(X2),multiply(X2,X1)),inverse(identity)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.32.0.3']),
% 0.58/0.99 [weight('<109,27,19,[0,0,0,6]>')]).
% 0.58/0.99 cnf('0.32.2.0',plain,
% 0.58/0.99 ( double_divide(double_divide(inverse(X1),multiply(X1,X2)),inverse(identity)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_32]).
% 0.58/0.99 cnf('0.34.0.0',plain,
% 0.58/0.99 ( inverse(X1) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.26.2.0','0.27.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.1','L')]).
% 0.58/0.99 cnf('0.34.1.0',plain,
% 0.58/0.99 ( inverse(X1) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.58/0.99 [weight('<119,27,26,[0,0,0,4]>')]).
% 0.58/0.99 cnf('0.34.2.0',plain,
% 0.58/0.99 ( double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) = inverse(X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_34]).
% 0.58/0.99 cnf('0.35.0.0',plain,
% 0.58/0.99 ( inverse(identity) = double_divide(double_divide(identity,identity),inverse(identity)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.34.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.35.0.1',plain,
% 0.58/0.99 ( inverse(identity) = double_divide(inverse(identity),inverse(identity)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.35.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1','L')]).
% 0.58/0.99 cnf('0.35.0.2',plain,
% 0.58/0.99 ( inverse(identity) = identity ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.35.0.1','0.27.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.35.1.0',plain,
% 0.58/0.99 ( inverse(identity) = identity ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.58/0.99 [weight('<11,34,3,[1,0,0,3]>')]).
% 0.58/0.99 cnf('0.35.2.0',plain,
% 0.58/0.99 ( inverse(identity) = identity ),
% 0.58/0.99 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_35]).
% 0.58/0.99 cnf('0.36.0.0',plain,
% 0.58/0.99 ( double_divide(inverse(X1),inverse(identity)) = X1 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 0.58/0.99 cnf('0.36.0.1',plain,
% 0.58/0.99 ( double_divide(inverse(X1),identity) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.36.0.0','0.35.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.36.0.2',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.36.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.36.0.3',plain,
% 0.58/0.99 ( multiply(identity,X1) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.36.0.2','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.36.1.0',plain,
% 0.58/0.99 ( multiply(identity,X1) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.36.0.3']),
% 0.58/0.99 [weight('<19,27,35,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.36.2.0',plain,
% 0.58/0.99 ( multiply(identity,X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_36]).
% 0.58/0.99 cnf('0.37.0.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.58/0.99 cnf('0.37.0.1',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.37.1.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.58/0.99 [weight('<19,5,36,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.37.2.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_37]).
% 0.58/0.99 cnf('0.41.0.0',plain,
% 0.58/0.99 ( double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) = inverse(X1) ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.58/0.99 cnf('0.41.0.1',plain,
% 0.58/0.99 ( double_divide(double_divide(identity,double_divide(X1,identity)),inverse(identity)) = inverse(X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.41.0.0','0.35.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.2','L')]).
% 0.58/0.99 cnf('0.41.0.2',plain,
% 0.58/0.99 ( double_divide(double_divide(identity,inverse(X1)),inverse(identity)) = inverse(X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.41.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.41.0.3',plain,
% 0.58/0.99 ( double_divide(double_divide(identity,inverse(X1)),identity) = inverse(X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.41.0.2','0.35.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.41.0.4',plain,
% 0.58/0.99 ( inverse(double_divide(identity,inverse(X1))) = inverse(X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.41.0.3','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.41.0.5',plain,
% 0.58/0.99 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.41.0.4','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.41.1.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.41.0.5']),
% 0.58/0.99 [weight('<34,34,35,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.41.2.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_41]).
% 0.58/0.99 cnf('0.42.0.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.41.2.0','0.37.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.42.0.1',plain,
% 0.58/0.99 ( X1 = multiply(X1,identity) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.42.0.0','0.37.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.42.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X1,identity) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.58/0.99 [weight('<19,41,37,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.42.2.0',plain,
% 0.58/0.99 ( multiply(X1,identity) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_42]).
% 0.58/0.99 cnf('0.43.0.0',plain,
% 0.58/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.58/0.99 cnf('0.43.0.1',plain,
% 0.58/0.99 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.43.0.0','0.36.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.43.1.0',plain,
% 0.58/0.99 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.58/0.99 [weight('<39,9,36,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.43.2.0',plain,
% 0.58/0.99 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_43]).
% 0.58/0.99 cnf('0.44.0.0',plain,
% 0.58/0.99 ( double_divide(identity,X1) = inverse(X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.43.2.0','0.42.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.44.1.0',plain,
% 0.58/0.99 ( double_divide(identity,X1) = inverse(X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.58/0.99 [weight('<23,43,42,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.44.2.0',plain,
% 0.58/0.99 ( double_divide(identity,X1) = inverse(X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_44]).
% 0.58/0.99 cnf('0.45.0.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,multiply(double_divide(X1,inverse(identity)),X2)),inverse(identity)) = X2 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.58/0.99 cnf('0.45.0.1',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,multiply(double_divide(X1,identity),X2)),inverse(identity)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.45.0.0','0.35.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.1.2','L')]).
% 0.58/0.99 cnf('0.45.0.2',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,multiply(inverse(X1),X2)),inverse(identity)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.45.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2.1','L')]).
% 0.58/0.99 cnf('0.45.0.3',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,multiply(inverse(X1),X2)),identity) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.45.0.2','0.35.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.45.0.4',plain,
% 0.58/0.99 ( inverse(double_divide(X1,multiply(inverse(X1),X2))) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.45.0.3','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.45.0.5',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.45.0.4','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.45.1.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.45.0.5']),
% 0.58/0.99 [weight('<55,20,35,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.45.2.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_45]).
% 0.58/0.99 cnf('0.46.0.0',plain,
% 0.58/0.99 ( double_divide(double_divide(inverse(X1),multiply(X1,X2)),inverse(identity)) = X2 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.58/0.99 cnf('0.46.0.1',plain,
% 0.58/0.99 ( double_divide(double_divide(inverse(X1),multiply(X1,X2)),identity) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.46.0.0','0.35.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.46.0.2',plain,
% 0.58/0.99 ( inverse(double_divide(inverse(X1),multiply(X1,X2))) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.46.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.46.0.3',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2),inverse(X1)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.46.0.2','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.46.1.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2),inverse(X1)) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.46.0.3']),
% 0.58/0.99 [weight('<55,32,35,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.46.2.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2),inverse(X1)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_46]).
% 0.58/0.99 cnf('0.47.0.0',plain,
% 0.58/0.99 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.46.2.0','0.46.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.47.0.1',plain,
% 0.58/0.99 ( inverse(X1) = multiply(X2,double_divide(X2,X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.47.0.0','0.43.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.2','L')]).
% 0.58/0.99 cnf('0.47.1.0',plain,
% 0.58/0.99 ( inverse(X1) = multiply(X2,double_divide(X2,X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.58/0.99 [weight('<47,46,46,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.47.2.0',plain,
% 0.58/0.99 ( multiply(X1,double_divide(X1,X2)) = inverse(X2) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_47]).
% 0.58/0.99 cnf('0.48.0.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,X2),X1) = inverse(inverse(X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.43.2.0','0.47.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.48.0.1',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.48.0.0','0.37.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.48.1.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.58/0.99 [weight('<41,47,43,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.48.2.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_48]).
% 0.58/0.99 cnf('0.49.0.0',plain,
% 0.58/0.99 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.48.2.0','0.48.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.49.1.0',plain,
% 0.58/0.99 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.58/0.99 [weight('<41,48,48,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.49.2.0',plain,
% 0.58/0.99 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_49]).
% 0.58/0.99 cnf('0.50.0.0',plain,
% 0.58/0.99 ( double_divide(inverse(X1),X2) = multiply(inverse(X2),X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.45.2.0','0.47.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.50.1.0',plain,
% 0.58/0.99 ( double_divide(inverse(X1),X2) = multiply(inverse(X2),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.58/0.99 [weight('<44,47,45,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.50.2.0',plain,
% 0.58/0.99 ( double_divide(inverse(X1),X2) = multiply(inverse(X2),X1) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_50]).
% 0.58/0.99 cnf('0.51.0.0',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2)) = inverse(multiply(inverse(X1),X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.4.2.0','0.50.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.51.0.1',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2)) = double_divide(X2,inverse(X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.51.0.0','0.43.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.51.1.0',plain,
% 0.58/0.99 ( multiply(X1,inverse(X2)) = double_divide(X2,inverse(X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.58/0.99 [weight('<44,50,4,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.51.2.0',plain,
% 0.58/0.99 ( double_divide(X1,inverse(X2)) = multiply(X2,inverse(X1)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_51]).
% 0.58/0.99 cnf('0.54.0.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = X2 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/0.99 cnf('0.54.0.1',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.54.1.0',plain,
% 0.58/0.99 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.58/0.99 [weight('<?,1,2,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.54.1.1',plain,
% 0.58/0.99 ( multiply(identity,inverse(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))))) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.1.0','0.51.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.54.1.2',plain,
% 0.58/0.99 ( inverse(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3)))) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.1.1','0.36.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.54.1.3',plain,
% 0.58/0.99 ( multiply(double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3)),X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.1.2','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.54.1.4',plain,
% 0.58/0.99 ( multiply(double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3)),X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.1.3','0.44.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.54.1.5',plain,
% 0.58/0.99 ( multiply(multiply(X3,inverse(double_divide(X2,double_divide(X1,X3)))),X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.1.4','0.51.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.54.1.6',plain,
% 0.58/0.99 ( multiply(multiply(X3,multiply(double_divide(X1,X3),X2)),X1) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.54.1.5','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.54.2.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,multiply(double_divide(X2,X1),X3)),X2) = X3 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.54.1.6',theory(equality)]),
% 0.58/0.99 [u,rule_54]).
% 0.58/0.99 cnf('0.55.0.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.47.2.0','0.51.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.55.0.1',plain,
% 0.58/0.99 ( X1 = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.55.0.0','0.37.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.55.1.0',plain,
% 0.58/0.99 ( X1 = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.58/0.99 [weight('<55,51,47,[0,0,0,2]>')]).
% 0.58/0.99 cnf('0.55.2.0',plain,
% 0.58/0.99 ( multiply(X1,multiply(X2,inverse(X1))) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_55]).
% 0.58/0.99 cnf('0.56.0.0',plain,
% 0.58/0.99 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.54.2.0','0.55.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.56.1.0',plain,
% 0.58/0.99 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.58/0.99 [weight('<47,55,54,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.56.2.0',plain,
% 0.58/0.99 ( multiply(double_divide(X1,X2),X1) = inverse(X2) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_56]).
% 0.58/0.99 cnf('0.60.0.0',plain,
% 0.58/0.99 ( inverse(double_divide(X1,X2)) = multiply(X1,X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.56.2.0','0.49.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.60.0.1',plain,
% 0.58/0.99 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.60.0.0','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.60.1.0',plain,
% 0.58/0.99 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.58/0.99 [weight('<48,56,49,[1,0,0,1]>')]).
% 0.58/0.99 cnf('0.60.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.99 inference(activate,[status(thm)],['0.60.1.0']),
% 0.58/0.99 [equation_1]).
% 0.58/0.99 cnf('0.62.0.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.45.2.0'])).
% 0.58/0.99 cnf('0.62.1.0',plain,
% 0.58/0.99 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.58/0.99 [weight('<55,45,60,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.62.1.1',plain,
% 0.58/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.62.1.0','0.60.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.62.2.0',plain,
% 0.58/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.62.1.1',theory(equality)]),
% 0.58/0.99 [u,rule_60]).
% 0.58/0.99 cnf('0.75.0.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,multiply(double_divide(X2,X1),X3)),X2) = X3 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.54.2.0'])).
% 0.58/0.99 cnf('0.75.1.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,multiply(double_divide(X2,X1),X3)),X2) = X3 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.75.0.0']),
% 0.58/0.99 [weight('<109,54,60,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.75.1.1',plain,
% 0.58/0.99 ( multiply(X2,multiply(X1,multiply(double_divide(X2,X1),X3))) = X3 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.75.1.0','0.60.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.75.2.0',plain,
% 0.58/0.99 ( multiply(X1,multiply(X2,multiply(double_divide(X1,X2),X3))) = X3 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.75.1.1',theory(equality)]),
% 0.58/0.99 [u,rule_73]).
% 0.58/0.99 cnf('0.76.0.0',plain,
% 0.58/0.99 ( multiply(inverse(double_divide(X1,X2)),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.75.2.0','0.62.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2.2','L')]).
% 0.58/0.99 cnf('0.76.0.1',plain,
% 0.58/0.99 ( multiply(multiply(X2,X1),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.76.0.0','0.4.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.76.1.0',plain,
% 0.58/0.99 ( multiply(multiply(X2,X1),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.58/0.99 [weight('<65,75,62,[1,0,0,4]>')]).
% 0.58/0.99 cnf('0.76.2.0',plain,
% 0.58/0.99 ( multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_74]).
% 0.58/0.99 cnf('1.0.0.0',conjecture,
% 0.58/0.99 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_11839_n021',conjecture_1)).
% 0.58/0.99 cnf('1.0.0.1',plain,
% 0.58/0.99 ( multiply(multiply(b3,a3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.60.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('1.0.0.2',plain,
% 0.58/0.99 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.1','0.76.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('1.0.0.3',plain,
% 0.58/0.99 ( $true ),
% 0.58/0.99 inference(trivial,[status(thm)],['1.0.0.2',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(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 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_11839_n021
% 0.58/0.99 CPs.gen 923
% 0.58/0.99 CPs.reexp 0
% 0.58/0.99 Select 269
% 0.58/0.99 R 74
% 0.58/0.99 E 2
% 0.58/0.99 vsize 6.5M
% 0.58/0.99 rss 3.8M
% 0.58/0.99 process.time 0.007s
% 0.58/0.99 wallclock.time 0.007s
% 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
%------------------------------------------------------------------------------