TSTP Solution File: GRP583-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n014.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 12:27:00 EDT 2022
% Result : Unsatisfiable 0.57s 0.96s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 21:19:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.57/0.96 goal joined
% 0.57/0.96 % SZS status Unsatisfiable
% 0.57/0.96 #START OF PROOF
% 0.57/0.96 % SZS output start CNFRefutation
% 0.57/0.96 cnf('0.1.0.0',axiom,
% 0.57/0.96 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2)))),double_divide(identity,identity)) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_18117_n014')).
% 0.57/0.96 cnf('0.1.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2)))),double_divide(identity,identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.1.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_1]).
% 0.57/0.96 cnf('0.2.0.0',axiom,
% 0.57/0.96 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_18117_n014')).
% 0.57/0.96 cnf('0.2.1.0',plain,
% 0.57/0.96 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.2.2.0',plain,
% 0.57/0.96 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_2]).
% 0.57/0.96 cnf('0.3.0.0',axiom,
% 0.57/0.96 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.96 file('/tmp/WALDMEISTER_18117_n014')).
% 0.57/0.96 cnf('0.3.1.0',plain,
% 0.57/0.96 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.96 cnf('0.3.2.0',plain,
% 0.57/0.96 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_3]).
% 0.57/0.96 cnf('0.4.0.0',axiom,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_18117_n014')).
% 0.57/0.96 cnf('0.4.1.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.96 cnf('0.4.1.1',plain,
% 0.57/0.96 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.4.2.0',plain,
% 0.57/0.96 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.57/0.96 [u,rule_4]).
% 0.57/0.96 cnf('0.5.0.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.5.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.96 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.5.2.0',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_5]).
% 0.57/0.96 cnf('0.7.0.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.7.1.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.96 [weight('<44,5,5,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.7.2.0',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_7]).
% 0.57/0.96 cnf('0.9.0.0',plain,
% 0.57/0.96 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.9.1.0',plain,
% 0.57/0.96 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.96 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.9.2.0',plain,
% 0.57/0.96 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_9]).
% 0.57/0.96 cnf('0.11.0.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.11.1.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.96 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.11.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_11]).
% 0.57/0.96 cnf('0.19.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3 ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.96 cnf('0.19.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.19.1.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.57/0.96 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.19.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_19]).
% 0.57/0.96 cnf('0.20.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),double_divide(X1,identity))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2.2','L')]).
% 0.57/0.96 cnf('0.20.0.1',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.2.2','L')]).
% 0.57/0.96 cnf('0.20.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(inverse(X2),double_divide(double_divide(identity,X2),inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.57/0.96 [weight('<181,19,3,[1,0,0,9]>')]).
% 0.57/0.96 cnf('0.20.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X2))),inverse(identity)) = X2 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_20]).
% 0.57/0.96 cnf('0.21.0.0',plain,
% 0.57/0.96 ( double_divide(identity,X1) = double_divide(double_divide(inverse(X1),identity),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.21.0.1',plain,
% 0.57/0.96 ( double_divide(identity,X1) = double_divide(inverse(inverse(X1)),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.21.0.2',plain,
% 0.57/0.96 ( double_divide(identity,X1) = double_divide(multiply(identity,X1),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.21.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.21.1.0',plain,
% 0.57/0.96 ( double_divide(identity,X1) = double_divide(multiply(identity,X1),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.21.0.2']),
% 0.57/0.96 [weight('<69,20,3,[1,0,0,4]>')]).
% 0.57/0.96 cnf('0.21.2.0',plain,
% 0.57/0.96 ( double_divide(multiply(identity,X1),inverse(identity)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_21]).
% 0.57/0.96 cnf('0.23.0.0',plain,
% 0.57/0.96 ( double_divide(identity,double_divide(X1,X2)) = double_divide(inverse(multiply(X2,X1)),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.21.2.0','0.9.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.23.1.0',plain,
% 0.57/0.96 ( double_divide(identity,double_divide(X1,X2)) = double_divide(inverse(multiply(X2,X1)),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.57/0.96 [weight('<103,21,9,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.23.2.0',plain,
% 0.57/0.96 ( double_divide(inverse(multiply(X1,X2)),inverse(identity)) = double_divide(identity,double_divide(X2,X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_23]).
% 0.57/0.96 cnf('0.25.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.20.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.1','L')]).
% 0.57/0.96 cnf('0.25.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.57/0.96 [weight('<155,20,2,[1,0,0,5]>')]).
% 0.57/0.96 cnf('0.25.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X1))),inverse(identity)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_25]).
% 0.57/0.96 cnf('0.26.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.1','L')]).
% 0.57/0.96 cnf('0.26.0.1',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.26.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.1','L')]).
% 0.57/0.96 cnf('0.26.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.57/0.96 [weight('<155,20,3,[1,0,0,5]>')]).
% 0.57/0.96 cnf('0.26.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X1))),inverse(identity)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_26]).
% 0.57/0.96 cnf('0.33.0.0',plain,
% 0.57/0.96 ( double_divide(X1,X2) = double_divide(double_divide(multiply(identity,identity),double_divide(identity,multiply(X2,X1))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.26.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2','L')]).
% 0.57/0.96 cnf('0.33.1.0',plain,
% 0.57/0.96 ( double_divide(X1,X2) = double_divide(double_divide(multiply(identity,identity),double_divide(identity,multiply(X2,X1))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.57/0.96 [weight('<207,26,4,[1,0,0,7]>')]).
% 0.57/0.96 cnf('0.33.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(multiply(identity,identity),double_divide(identity,multiply(X1,X2))),inverse(identity)) = double_divide(X2,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_33]).
% 0.57/0.96 cnf('0.36.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(X2,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X2)))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.19.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.1','L')]).
% 0.57/0.96 cnf('0.36.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(X2,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X2)))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.57/0.96 [weight('<209,19,2,[1,0,0,4]>')]).
% 0.57/0.96 cnf('0.36.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(inverse(identity),double_divide(X2,double_divide(identity,X1)))),inverse(identity)) = X2 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_36]).
% 0.57/0.96 cnf('0.37.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X1,inverse(identity)))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.36.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2.2','L')]).
% 0.57/0.96 cnf('0.37.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X1,inverse(identity)))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.57/0.96 [weight('<181,36,2,[1,0,0,8]>')]).
% 0.57/0.96 cnf('0.37.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X1,inverse(identity)))),inverse(identity)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_37]).
% 0.57/0.96 cnf('0.38.0.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.37.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2','L')]).
% 0.57/0.96 cnf('0.38.0.1',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.38.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.2','L')]).
% 0.57/0.96 cnf('0.38.0.2',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.38.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.2','L')]).
% 0.57/0.96 cnf('0.38.1.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.38.0.2']),
% 0.57/0.96 [weight('<89,37,3,[1,0,0,6]>')]).
% 0.57/0.96 cnf('0.38.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_38]).
% 0.57/0.96 cnf('0.39.0.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(inverse(multiply(identity,identity)),identity),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.20.2.0','0.38.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.39.0.1',plain,
% 0.57/0.96 ( identity = double_divide(inverse(inverse(multiply(identity,identity))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.39.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.39.0.2',plain,
% 0.57/0.96 ( identity = double_divide(multiply(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.39.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.39.0.3',plain,
% 0.57/0.96 ( identity = double_divide(identity,multiply(identity,identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.39.0.2','0.21.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.39.1.0',plain,
% 0.57/0.96 ( identity = double_divide(identity,multiply(identity,identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.39.0.3']),
% 0.57/0.96 [weight('<41,38,20,[0,0,0,4]>')]).
% 0.57/0.96 cnf('0.39.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_39]).
% 0.57/0.96 cnf('0.40.0.0',plain,
% 0.57/0.96 ( double_divide(identity,identity) = double_divide(double_divide(multiply(identity,identity),identity),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.33.2.0','0.39.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.40.0.1',plain,
% 0.57/0.96 ( inverse(identity) = double_divide(double_divide(multiply(identity,identity),identity),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.40.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.40.0.2',plain,
% 0.57/0.96 ( inverse(identity) = double_divide(inverse(multiply(identity,identity)),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.40.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.40.0.3',plain,
% 0.57/0.96 ( inverse(identity) = double_divide(multiply(identity,inverse(identity)),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.40.0.2','0.7.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.40.0.4',plain,
% 0.57/0.96 ( inverse(identity) = double_divide(identity,inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.40.0.3','0.21.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.40.0.5',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.40.0.4','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.40.1.0',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.40.0.5']),
% 0.57/0.96 [weight('<11,39,33,[0,0,0,5]>')]).
% 0.57/0.96 cnf('0.40.2.0',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_40]).
% 0.57/0.96 cnf('0.41.0.0',plain,
% 0.57/0.96 ( multiply(identity,identity) = inverse(identity) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.5.2.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.41.0.1',plain,
% 0.57/0.96 ( multiply(identity,identity) = identity ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.41.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.41.1.0',plain,
% 0.57/0.96 ( multiply(identity,identity) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.57/0.96 [weight('<19,40,5,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.41.2.0',plain,
% 0.57/0.96 ( multiply(identity,identity) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_41]).
% 0.57/0.96 cnf('0.43.0.0',plain,
% 0.57/0.96 ( double_divide(multiply(identity,X1),inverse(identity)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.57/0.96 cnf('0.43.0.1',plain,
% 0.57/0.96 ( double_divide(multiply(identity,X1),identity) = double_divide(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.43.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.43.0.2',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.43.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.43.0.3',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.43.0.2','0.7.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.43.1.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.43.0.3']),
% 0.57/0.96 [weight('<39,21,40,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.43.2.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_43]).
% 0.57/0.96 cnf('0.44.0.0',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.57/0.96 cnf('0.44.0.1',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.44.0.0','0.43.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.44.1.0',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.57/0.96 [weight('<39,7,43,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.44.2.0',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_44]).
% 0.57/0.96 cnf('0.45.0.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = inverse(double_divide(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.44.2.0','0.43.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.45.0.1',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = multiply(X1,identity) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.45.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.45.1.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = multiply(X1,identity) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.57/0.96 [weight('<39,44,43,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.45.2.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = multiply(X1,identity) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_45]).
% 0.57/0.96 cnf('0.46.0.0',plain,
% 0.57/0.96 ( multiply(inverse(X1),identity) = inverse(multiply(X1,identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.45.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.46.1.0',plain,
% 0.57/0.96 ( multiply(inverse(X1),identity) = inverse(multiply(X1,identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.57/0.96 [weight('<44,45,4,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.46.2.0',plain,
% 0.57/0.96 ( inverse(multiply(X1,identity)) = multiply(inverse(X1),identity) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_46]).
% 0.57/0.96 cnf('0.49.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X1))),inverse(identity)) = X1 ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 0.57/0.96 cnf('0.49.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(inverse(identity),inverse(X1))),inverse(identity)) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.49.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.1','L')]).
% 0.57/0.96 cnf('0.49.0.2',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(identity,inverse(X1))),inverse(identity)) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.49.0.1','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.1','L')]).
% 0.57/0.96 cnf('0.49.0.3',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(identity,inverse(X1))),identity) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.49.0.2','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.49.0.4',plain,
% 0.57/0.96 ( inverse(double_divide(identity,double_divide(identity,inverse(X1)))) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.49.0.3','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.49.0.5',plain,
% 0.57/0.96 ( multiply(double_divide(identity,inverse(X1)),identity) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.49.0.4','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.49.1.0',plain,
% 0.57/0.96 ( multiply(double_divide(identity,inverse(X1)),identity) = X1 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.49.0.5']),
% 0.57/0.96 [weight('<55,25,40,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.49.1.1',plain,
% 0.57/0.96 ( multiply(multiply(X1,identity),identity) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.49.1.0','0.45.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.49.2.0',plain,
% 0.57/0.96 ( multiply(multiply(X1,identity),identity) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.49.1.1',theory(equality)]),
% 0.57/0.96 [u,rule_49]).
% 0.57/0.96 cnf('0.51.0.0',plain,
% 0.57/0.96 ( double_divide(inverse(multiply(X1,X2)),inverse(identity)) = double_divide(identity,double_divide(X2,X1)) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.23.2.0'])).
% 0.57/0.96 cnf('0.51.0.1',plain,
% 0.57/0.96 ( double_divide(inverse(multiply(X1,X2)),identity) = double_divide(identity,double_divide(X2,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.51.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.51.0.2',plain,
% 0.57/0.96 ( inverse(inverse(multiply(X1,X2))) = double_divide(identity,double_divide(X2,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.51.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.51.0.3',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,X2)) = double_divide(identity,double_divide(X2,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.51.0.2','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.51.1.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,X2)) = double_divide(identity,double_divide(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.51.0.3']),
% 0.57/0.96 [weight('<65,23,40,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.51.2.0',plain,
% 0.57/0.96 ( double_divide(identity,double_divide(X1,X2)) = multiply(identity,multiply(X2,X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_51]).
% 0.57/0.96 cnf('0.52.0.0',plain,
% 0.57/0.96 ( multiply(double_divide(X1,X2),identity) = double_divide(identity,multiply(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.45.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.52.1.0',plain,
% 0.57/0.96 ( multiply(double_divide(X1,X2),identity) = double_divide(identity,multiply(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.57/0.96 [weight('<65,45,4,[1,0,0,2]>')]).
% 0.57/0.96 cnf('0.52.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(X1,X2)) = multiply(double_divide(X2,X1),identity) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_52]).
% 0.57/0.96 cnf('0.53.0.0',plain,
% 0.57/0.96 ( inverse(multiply(inverse(X1),identity)) = multiply(identity,multiply(X1,identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.9.2.0','0.45.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.53.1.0',plain,
% 0.57/0.96 ( inverse(multiply(inverse(X1),identity)) = multiply(identity,multiply(X1,identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.57/0.96 [weight('<65,45,9,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.53.1.1',plain,
% 0.57/0.96 ( multiply(inverse(inverse(X1)),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.53.1.0','0.46.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.53.1.2',plain,
% 0.57/0.96 ( multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.53.1.1','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.53.2.0',plain,
% 0.57/0.96 ( multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.53.1.2',theory(equality)]),
% 0.57/0.96 [u,rule_53]).
% 0.57/0.96 cnf('0.54.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3 ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.96 cnf('0.54.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.54.1.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.57/0.96 [weight('<?,1,2,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.54.1.1',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),identity) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.1.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.54.1.2',plain,
% 0.57/0.96 ( inverse(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.1.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.54.1.3',plain,
% 0.57/0.96 ( multiply(double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))),X1) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.1.2','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.54.2.0',plain,
% 0.57/0.96 ( multiply(double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X3))),X3) = X2 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.54.1.3',theory(equality)]),
% 0.57/0.96 [u,rule_54]).
% 0.57/0.96 cnf('0.58.0.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(identity,multiply(X1,identity)),X1) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.11.2.0','0.49.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.58.1.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(identity,multiply(X1,identity)),X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.57/0.96 [weight('<71,49,11,[0,0,0,4]>')]).
% 0.57/0.96 cnf('0.58.1.1',plain,
% 0.57/0.96 ( identity = double_divide(multiply(double_divide(identity,X1),identity),X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.58.1.0','0.52.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.58.2.0',plain,
% 0.57/0.96 ( double_divide(multiply(double_divide(identity,X1),identity),X1) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 0.57/0.96 [x,rule_58]).
% 0.57/0.96 cnf('0.64.0.0',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(double_divide(identity,multiply(double_divide(identity,X2),identity)),double_divide(X1,identity)),X2) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.54.2.0','0.58.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2','L')]).
% 0.57/0.96 cnf('0.64.0.1',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(multiply(double_divide(identity,double_divide(identity,X2)),identity),double_divide(X1,identity)),X2) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.64.0.0','0.52.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.1','L')]).
% 0.57/0.96 cnf('0.64.0.2',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(multiply(multiply(identity,multiply(X2,identity)),identity),double_divide(X1,identity)),X2) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.64.0.1','0.51.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.1.1','L')]).
% 0.57/0.96 cnf('0.64.0.3',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(multiply(identity,multiply(multiply(X2,identity),identity)),double_divide(X1,identity)),X2) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.64.0.2','0.53.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.1','L')]).
% 0.57/0.96 cnf('0.64.0.4',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(multiply(identity,X2),double_divide(X1,identity)),X2) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.64.0.3','0.49.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.1.2','L')]).
% 0.57/0.96 cnf('0.64.0.5',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(multiply(identity,X2),inverse(X1)),X2) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.64.0.4','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.2','L')]).
% 0.57/0.96 cnf('0.64.1.0',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(multiply(identity,X2),inverse(X1)),X2) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.64.0.5']),
% 0.57/0.96 [weight('<89,58,54,[0,0,0,7]>')]).
% 0.57/0.96 cnf('0.64.2.0',plain,
% 0.57/0.96 ( multiply(double_divide(multiply(identity,X1),inverse(X2)),X1) = X2 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_64]).
% 0.57/0.96 cnf('0.65.0.0',plain,
% 0.57/0.96 ( identity = multiply(double_divide(multiply(identity,X1),identity),X1) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.64.2.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.65.0.1',plain,
% 0.57/0.96 ( identity = multiply(inverse(multiply(identity,X1)),X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.65.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.65.0.2',plain,
% 0.57/0.96 ( identity = multiply(double_divide(identity,X1),X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.65.0.1','0.44.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.65.1.0',plain,
% 0.57/0.96 ( identity = multiply(double_divide(identity,X1),X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.65.0.2']),
% 0.57/0.96 [weight('<41,64,40,[1,0,0,5]>')]).
% 0.57/0.96 cnf('0.65.2.0',plain,
% 0.57/0.96 ( multiply(double_divide(identity,X1),X1) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_65]).
% 0.57/0.96 cnf('0.68.0.0',plain,
% 0.57/0.96 ( multiply(double_divide(X1,double_divide(identity,X1)),identity) = double_divide(identity,identity) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.52.2.0','0.65.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.68.0.1',plain,
% 0.57/0.96 ( multiply(double_divide(X1,double_divide(identity,X1)),identity) = inverse(identity) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.68.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.68.0.2',plain,
% 0.57/0.96 ( multiply(double_divide(X1,double_divide(identity,X1)),identity) = identity ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.68.0.1','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.68.1.0',plain,
% 0.57/0.96 ( multiply(double_divide(X1,double_divide(identity,X1)),identity) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.68.0.2']),
% 0.57/0.96 [weight('<71,65,52,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.68.2.0',plain,
% 0.57/0.96 ( multiply(double_divide(X1,double_divide(identity,X1)),identity) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_68]).
% 0.57/0.96 cnf('0.69.0.0',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(identity,X1)) = multiply(identity,identity) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.49.2.0','0.68.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.69.0.1',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(identity,X1)) = identity ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.69.0.0','0.41.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.69.1.0',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(identity,X1)) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.57/0.96 [weight('<41,68,49,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.69.2.0',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(identity,X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_69]).
% 0.57/0.96 cnf('0.70.0.0',plain,
% 0.57/0.96 ( X1 = multiply(double_divide(double_divide(identity,identity),identity),X1) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.54.2.0','0.69.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.70.0.1',plain,
% 0.57/0.96 ( X1 = multiply(inverse(double_divide(identity,identity)),X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.70.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.70.0.2',plain,
% 0.57/0.96 ( X1 = multiply(multiply(identity,identity),X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.70.0.1','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.70.0.3',plain,
% 0.57/0.96 ( X1 = multiply(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.70.0.2','0.41.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.70.1.0',plain,
% 0.57/0.96 ( X1 = multiply(identity,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.70.0.3']),
% 0.57/0.96 [weight('<19,69,54,[0,0,0,5]>')]).
% 0.57/0.96 cnf('0.70.2.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_70]).
% 0.57/0.96 cnf('0.71.0.0',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.57/0.96 cnf('0.71.0.1',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.71.0.0','0.70.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.71.1.0',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.71.0.1']),
% 0.57/0.96 [weight('<19,5,70,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.71.2.0',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_71]).
% 0.57/0.96 cnf('0.73.0.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 0.57/0.96 cnf('0.73.0.1',plain,
% 0.57/0.96 ( inverse(X1) = double_divide(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.73.0.0','0.70.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.73.1.0',plain,
% 0.57/0.96 ( inverse(X1) = double_divide(identity,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.73.0.1']),
% 0.57/0.97 [weight('<23,43,70,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.73.2.0',plain,
% 0.57/0.97 ( double_divide(identity,X1) = inverse(X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_73]).
% 0.57/0.97 cnf('0.76.0.0',plain,
% 0.57/0.97 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.57/0.97 cnf('0.76.0.1',plain,
% 0.57/0.97 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.76.0.0','0.70.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.76.1.0',plain,
% 0.57/0.97 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.57/0.97 [weight('<39,9,70,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.76.2.0',plain,
% 0.57/0.97 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_76]).
% 0.57/0.97 cnf('0.77.0.0',plain,
% 0.57/0.97 ( multiply(double_divide(multiply(identity,X1),inverse(X2)),X1) = X2 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.64.2.0'])).
% 0.57/0.97 cnf('0.77.0.1',plain,
% 0.57/0.97 ( multiply(double_divide(X1,inverse(X2)),X1) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.77.0.0','0.70.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.77.1.0',plain,
% 0.57/0.97 ( multiply(double_divide(X1,inverse(X2)),X1) = X2 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.77.0.1']),
% 0.57/0.97 [weight('<55,64,70,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.77.2.0',plain,
% 0.57/0.97 ( multiply(double_divide(X1,inverse(X2)),X1) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_77]).
% 0.57/0.97 cnf('0.78.0.0',plain,
% 0.57/0.97 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.77.2.0','0.71.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.78.1.0',plain,
% 0.57/0.97 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.57/0.97 [weight('<47,77,71,[1,0,0,3]>')]).
% 0.57/0.97 cnf('0.78.2.0',plain,
% 0.57/0.97 ( multiply(double_divide(X1,X2),X1) = inverse(X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_78]).
% 0.57/0.97 cnf('0.79.0.0',plain,
% 0.57/0.97 ( double_divide(X1,double_divide(X1,X2)) = inverse(inverse(X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.76.2.0','0.78.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.79.0.1',plain,
% 0.57/0.97 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.79.0.0','0.71.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.79.1.0',plain,
% 0.57/0.97 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.79.0.1']),
% 0.57/0.97 [weight('<41,78,76,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.79.2.0',plain,
% 0.57/0.97 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_79]).
% 0.57/0.97 cnf('0.82.0.0',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(inverse(identity),double_divide(X2,double_divide(identity,X1)))),inverse(identity)) = X2 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.36.2.0'])).
% 0.57/0.97 cnf('0.82.0.1',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),inverse(identity)) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2.1','L')]).
% 0.57/0.97 cnf('0.82.0.2',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),identity) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.0.1','0.40.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.82.0.3',plain,
% 0.57/0.97 ( inverse(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1))))) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.0.2','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.82.0.4',plain,
% 0.57/0.97 ( multiply(double_divide(identity,double_divide(X2,double_divide(identity,X1))),X1) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.0.3','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.82.1.0',plain,
% 0.57/0.97 ( multiply(double_divide(identity,double_divide(X2,double_divide(identity,X1))),X1) = X2 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.82.0.4']),
% 0.57/0.97 [weight('<109,36,40,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.82.1.1',plain,
% 0.57/0.97 ( multiply(inverse(double_divide(X2,double_divide(identity,X1))),X1) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.1.0','0.73.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.82.1.2',plain,
% 0.57/0.97 ( multiply(multiply(double_divide(identity,X1),X2),X1) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.1.1','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.82.1.3',plain,
% 0.57/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.82.1.2','0.73.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.82.2.0',plain,
% 0.57/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.82.1.3',theory(equality)]),
% 0.57/0.97 [u,rule_82]).
% 0.57/0.97 cnf('0.83.0.0',plain,
% 0.57/0.97 ( X1 = multiply(multiply(X2,X1),inverse(X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.82.2.0','0.71.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.1','L')]).
% 0.57/0.97 cnf('0.83.1.0',plain,
% 0.57/0.97 ( X1 = multiply(multiply(X2,X1),inverse(X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.57/0.97 [weight('<55,82,71,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.83.2.0',plain,
% 0.57/0.97 ( multiply(multiply(X1,X2),inverse(X1)) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_83]).
% 0.57/0.97 cnf('0.84.0.0',plain,
% 0.57/0.97 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.83.2.0','0.83.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.84.0.1',plain,
% 0.57/0.97 ( inverse(X1) = multiply(X2,double_divide(X2,X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.84.0.0','0.76.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.84.1.0',plain,
% 0.57/0.97 ( inverse(X1) = multiply(X2,double_divide(X2,X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.84.0.1']),
% 0.57/0.97 [weight('<47,83,83,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.84.2.0',plain,
% 0.57/0.97 ( multiply(X1,double_divide(X1,X2)) = inverse(X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_84]).
% 0.57/0.97 cnf('0.88.0.0',plain,
% 0.57/0.97 ( double_divide(inverse(X1),X2) = multiply(inverse(X2),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.82.2.0','0.84.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.88.1.0',plain,
% 0.57/0.97 ( double_divide(inverse(X1),X2) = multiply(inverse(X2),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.88.0.0']),
% 0.57/0.97 [weight('<44,84,82,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.88.2.0',plain,
% 0.57/0.97 ( double_divide(inverse(X1),X2) = multiply(inverse(X2),X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_88]).
% 0.57/0.97 cnf('0.92.0.0',plain,
% 0.57/0.97 ( inverse(double_divide(X1,X2)) = multiply(X1,X2) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.84.2.0','0.79.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.92.0.1',plain,
% 0.57/0.97 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.92.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.92.1.0',plain,
% 0.57/0.97 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.92.0.1']),
% 0.57/0.97 [weight('<48,84,79,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.92.2.0',plain,
% 0.57/0.97 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.97 inference(activate,[status(thm)],['0.92.1.0']),
% 0.57/0.97 [equation_1]).
% 0.57/0.97 cnf('0.95.0.0',plain,
% 0.57/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.82.2.0'])).
% 0.57/0.97 cnf('0.95.1.0',plain,
% 0.57/0.97 ( multiply(multiply(inverse(X1),X2),X1) = X2 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.95.0.0']),
% 0.57/0.97 [weight('<55,82,92,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.95.1.1',plain,
% 0.57/0.97 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.95.1.0','0.92.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.95.2.0',plain,
% 0.57/0.97 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.95.1.1',theory(equality)]),
% 0.57/0.97 [u,rule_93]).
% 0.57/0.97 cnf('0.105.0.0',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),inverse(identity)) = X3 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.57/0.97 cnf('0.105.0.1',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),identity) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.0.0','0.40.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.105.0.2',plain,
% 0.57/0.97 ( inverse(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.105.0.3',plain,
% 0.57/0.97 ( multiply(double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))),X1) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.0.2','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.105.1.0',plain,
% 0.57/0.97 ( multiply(double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))),X1) = X3 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.105.0.3']),
% 0.57/0.97 [weight('<?,19,40,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.105.1.1',plain,
% 0.57/0.97 ( multiply(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.1.0','0.92.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.105.1.2',plain,
% 0.57/0.97 ( multiply(X1,double_divide(inverse(X2),double_divide(X3,double_divide(X2,X1)))) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.1.1','0.73.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.1','L')]).
% 0.57/0.97 cnf('0.105.1.3',plain,
% 0.57/0.97 ( multiply(X1,multiply(inverse(double_divide(X3,double_divide(X2,X1))),X2)) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.1.2','0.88.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.105.1.4',plain,
% 0.57/0.97 ( multiply(X1,multiply(X2,inverse(double_divide(X3,double_divide(X2,X1))))) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.1.3','0.92.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.105.1.5',plain,
% 0.57/0.97 ( multiply(X1,multiply(X2,multiply(double_divide(X2,X1),X3))) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.105.1.4','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.105.2.0',plain,
% 0.57/0.97 ( multiply(X1,multiply(X2,multiply(double_divide(X2,X1),X3))) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.105.1.5',theory(equality)]),
% 0.57/0.97 [u,rule_103]).
% 0.57/0.97 cnf('0.106.0.0',plain,
% 0.57/0.97 ( multiply(inverse(double_divide(X1,X2)),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.105.2.0','0.95.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.106.0.1',plain,
% 0.57/0.97 ( multiply(multiply(X2,X1),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.106.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.106.1.0',plain,
% 0.57/0.97 ( multiply(multiply(X2,X1),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.106.0.1']),
% 0.57/0.97 [weight('<65,105,95,[1,0,0,4]>')]).
% 0.57/0.97 cnf('0.106.2.0',plain,
% 0.57/0.97 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_104]).
% 0.57/0.97 cnf('1.0.0.0',conjecture,
% 0.57/0.97 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_18117_n014',conjecture_1)).
% 0.57/0.97 cnf('1.0.0.1',plain,
% 0.57/0.97 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.106.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('1.0.0.2',plain,
% 0.57/0.97 ( $true ),
% 0.57/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.97 [conjecture_1]).
% 0.57/0.97
% 0.57/0.97 Proved Goals:
% 0.57/0.97 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.57/0.97 1 goal was specified, which was proved.
% 0.57/0.97 % SZS output end CNFRefutation
% 0.57/0.97 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_18117_n014
% 0.57/0.97 CPs.gen 1301
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 327
% 0.57/0.97 R 104
% 0.57/0.97 E 2
% 0.57/0.97 vsize 6.5M
% 0.57/0.97 rss 3.8M
% 0.57/0.97 process.time 0.010s
% 0.57/0.97 wallclock.time 0.010s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: Goal proved.
% 0.57/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------