TSTP Solution File: GRP492-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 12:26:35 EDT 2022
% Result : Unsatisfiable 0.61s 1.01s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : woody %s
% 0.14/0.35 % Computer : n027.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 : Tue Jun 14 04:43:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.00 * |/ | \/ | *
% 0.61/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.00 * A. Jaeger and B. Loechner | | *
% 0.61/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.00
% 0.61/1.00 Goals:
% 0.61/1.00 ------
% 0.61/1.00
% 0.61/1.00 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.61/1.00
% 0.61/1.00 Detected structure: Orkus
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.01 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.61/1.01 goal joined
% 0.61/1.01 % SZS status Unsatisfiable
% 0.61/1.01 #START OF PROOF
% 0.61/1.01 % SZS output start CNFRefutation
% 0.61/1.01 cnf('0.1.0.0',axiom,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(double_divide(X2,X3),identity),double_divide(X1,X3)))) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_5664_n027')).
% 0.61/1.01 cnf('0.1.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(double_divide(X2,X3),identity),double_divide(X1,X3)))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.1.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_1]).
% 0.61/1.01 cnf('0.2.0.0',axiom,
% 0.61/1.01 ( double_divide(X1,identity) = inverse(X1) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_5664_n027')).
% 0.61/1.01 cnf('0.2.1.0',plain,
% 0.61/1.01 ( double_divide(X1,identity) = inverse(X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.2.2.0',plain,
% 0.61/1.01 ( double_divide(X1,identity) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_2]).
% 0.61/1.01 cnf('0.3.0.0',axiom,
% 0.61/1.01 ( double_divide(X1,inverse(X1)) = identity ),
% 0.61/1.01 file('/tmp/WALDMEISTER_5664_n027')).
% 0.61/1.01 cnf('0.3.1.0',plain,
% 0.61/1.01 ( double_divide(X1,inverse(X1)) = identity ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.61/1.01 cnf('0.3.2.0',plain,
% 0.61/1.01 ( double_divide(X1,inverse(X1)) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_3]).
% 0.61/1.01 cnf('0.4.0.0',axiom,
% 0.61/1.01 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_5664_n027')).
% 0.61/1.01 cnf('0.4.1.0',plain,
% 0.61/1.01 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.61/1.01 cnf('0.4.1.1',plain,
% 0.61/1.01 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.4.2.0',plain,
% 0.61/1.01 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.61/1.01 [u,rule_4]).
% 0.61/1.01 cnf('0.5.0.0',plain,
% 0.61/1.01 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.5.1.0',plain,
% 0.61/1.01 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.01 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.5.2.0',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_5]).
% 0.61/1.01 cnf('0.6.0.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.6.1.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.01 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.6.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_6]).
% 0.61/1.01 cnf('0.9.0.0',plain,
% 0.61/1.01 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.9.1.0',plain,
% 0.61/1.01 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.61/1.01 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.9.2.0',plain,
% 0.61/1.01 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_9]).
% 0.61/1.01 cnf('0.11.0.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.11.1.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/1.01 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.11.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_11]).
% 0.61/1.01 cnf('0.19.0.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.61/1.01 cnf('0.19.0.1',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(inverse(double_divide(X1,X2)),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.1','L')]).
% 0.61/1.01 cnf('0.19.1.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(inverse(double_divide(X1,X2)),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.61/1.01 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.19.1.1',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.19.1.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.1','L')]).
% 0.61/1.01 cnf('0.19.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.61/1.01 [u,rule_19]).
% 0.61/1.01 cnf('0.20.0.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(multiply(inverse(X1),X2),identity))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.2','L')]).
% 0.61/1.01 cnf('0.20.0.1',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,inverse(multiply(inverse(X1),X2)))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2.2','L')]).
% 0.61/1.01 cnf('0.20.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,inverse(multiply(inverse(X1),X2)))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.61/1.01 [weight('<155,19,3,[1,0,0,10]>')]).
% 0.61/1.01 cnf('0.20.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(X2),X1)))) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_20]).
% 0.61/1.01 cnf('0.21.0.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,inverse(inverse(identity)))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.20.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.1','L')]).
% 0.61/1.01 cnf('0.21.0.1',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.21.0.0','0.5.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2.2','L')]).
% 0.61/1.01 cnf('0.21.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.61/1.01 [weight('<109,20,6,[1,0,0,7]>')]).
% 0.61/1.01 cnf('0.21.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_21]).
% 0.61/1.01 cnf('0.22.0.0',plain,
% 0.61/1.01 ( inverse(identity) = double_divide(identity,double_divide(identity,multiply(identity,identity))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.21.2.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.22.1.0',plain,
% 0.61/1.01 ( inverse(identity) = double_divide(identity,double_divide(identity,multiply(identity,identity))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.61/1.01 [weight('<79,21,3,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.22.2.0',plain,
% 0.61/1.01 ( double_divide(identity,double_divide(identity,multiply(identity,identity))) = inverse(identity) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_22]).
% 0.61/1.01 cnf('0.24.0.0',plain,
% 0.61/1.01 ( identity = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.24.1.0',plain,
% 0.61/1.01 ( identity = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.61/1.01 [weight('<89,21,2,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.24.2.0',plain,
% 0.61/1.01 ( double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_24]).
% 0.61/1.01 cnf('0.25.0.0',plain,
% 0.61/1.01 ( multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.24.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.25.1.0',plain,
% 0.61/1.01 ( multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.61/1.01 [weight('<98,24,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.25.2.0',plain,
% 0.61/1.01 ( multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_25]).
% 0.61/1.01 cnf('0.26.0.0',plain,
% 0.61/1.01 ( multiply(double_divide(identity,multiply(identity,identity)),double_divide(identity,X1)) = inverse(X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.21.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.26.1.0',plain,
% 0.61/1.01 ( multiply(double_divide(identity,multiply(identity,identity)),double_divide(identity,X1)) = inverse(X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.61/1.01 [weight('<119,21,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.26.2.0',plain,
% 0.61/1.01 ( multiply(double_divide(identity,multiply(identity,identity)),double_divide(identity,X1)) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_26]).
% 0.61/1.01 cnf('0.27.0.0',plain,
% 0.61/1.01 ( inverse(double_divide(identity,multiply(identity,identity))) = multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.26.2.0','0.22.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.27.0.1',plain,
% 0.61/1.01 ( multiply(multiply(identity,identity),identity) = multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.27.0.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.27.0.2',plain,
% 0.61/1.01 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.27.0.1','0.25.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.27.1.0',plain,
% 0.61/1.01 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.61/1.01 [weight('<47,26,22,[1,0,0,6]>')]).
% 0.61/1.01 cnf('0.27.2.0',plain,
% 0.61/1.01 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_27]).
% 0.61/1.01 cnf('0.28.0.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.11.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.28.1.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.61/1.01 [weight('<89,27,11,[0,0,0,4]>')]).
% 0.61/1.01 cnf('0.28.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_28]).
% 0.61/1.01 cnf('0.29.0.0',plain,
% 0.61/1.01 ( double_divide(identity,multiply(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(inverse(identity),X1),identity))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.19.2.0','0.28.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.2','L')]).
% 0.61/1.01 cnf('0.29.0.1',plain,
% 0.61/1.01 ( double_divide(identity,multiply(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(identity),X1)))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.29.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2.2','L')]).
% 0.61/1.01 cnf('0.29.0.2',plain,
% 0.61/1.01 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.29.0.1','0.20.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.29.1.0',plain,
% 0.61/1.01 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.61/1.01 [weight('<41,28,19,[0,0,0,10]>')]).
% 0.61/1.01 cnf('0.29.2.0',plain,
% 0.61/1.01 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_29]).
% 0.61/1.01 cnf('0.30.0.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) = X1 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.61/1.01 cnf('0.30.0.1',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),identity) = X1 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.30.0.2',plain,
% 0.61/1.01 ( inverse(double_divide(identity,X1)) = X1 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.30.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.30.0.3',plain,
% 0.61/1.01 ( multiply(X1,identity) = X1 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.30.0.2','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.30.1.0',plain,
% 0.61/1.01 ( multiply(X1,identity) = X1 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.30.0.3']),
% 0.61/1.01 [weight('<19,21,29,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.30.2.0',plain,
% 0.61/1.01 ( multiply(X1,identity) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_30]).
% 0.61/1.01 cnf('0.31.0.0',plain,
% 0.61/1.01 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 0.61/1.01 cnf('0.31.0.1',plain,
% 0.61/1.01 ( multiply(identity,identity) = inverse(identity) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.31.0.2',plain,
% 0.61/1.01 ( identity = inverse(identity) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.31.0.1','0.30.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.31.1.0',plain,
% 0.61/1.01 ( identity = inverse(identity) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.31.0.2']),
% 0.61/1.01 [weight('<11,27,30,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.31.2.0',plain,
% 0.61/1.01 ( inverse(identity) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_31]).
% 0.61/1.01 cnf('0.33.0.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(identity,X1),X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.11.2.0','0.30.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.33.1.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(identity,X1),X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.61/1.01 [weight('<41,30,11,[0,0,0,4]>')]).
% 0.61/1.01 cnf('0.33.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),X1) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_33]).
% 0.61/1.01 cnf('0.34.0.0',plain,
% 0.61/1.01 ( multiply(X1,double_divide(identity,X1)) = inverse(identity) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.33.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.34.0.1',plain,
% 0.61/1.01 ( multiply(X1,double_divide(identity,X1)) = identity ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.34.0.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.34.1.0',plain,
% 0.61/1.01 ( multiply(X1,double_divide(identity,X1)) = identity ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.61/1.01 [weight('<41,33,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.34.2.0',plain,
% 0.61/1.01 ( multiply(X1,double_divide(identity,X1)) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_34]).
% 0.61/1.01 cnf('0.35.0.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),double_divide(identity,inverse(identity))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.20.2.0','0.34.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.1','L')]).
% 0.61/1.01 cnf('0.35.0.1',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),identity) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.35.0.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2','L')]).
% 0.61/1.01 cnf('0.35.0.2',plain,
% 0.61/1.01 ( X1 = inverse(double_divide(identity,double_divide(identity,inverse(X1)))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.35.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.35.0.3',plain,
% 0.61/1.01 ( X1 = multiply(double_divide(identity,inverse(X1)),identity) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.35.0.2','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.35.0.4',plain,
% 0.61/1.01 ( X1 = double_divide(identity,inverse(X1)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.35.0.3','0.30.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.35.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(identity,inverse(X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.35.0.4']),
% 0.61/1.01 [weight('<29,34,20,[0,0,0,7]>')]).
% 0.61/1.01 cnf('0.35.2.0',plain,
% 0.61/1.01 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_35]).
% 0.61/1.01 cnf('0.37.0.0',plain,
% 0.61/1.01 ( double_divide(X1,X2) = double_divide(identity,multiply(X2,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.35.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.37.1.0',plain,
% 0.61/1.01 ( double_divide(X1,X2) = double_divide(identity,multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.61/1.01 [weight('<53,35,4,[1,0,0,2]>')]).
% 0.61/1.01 cnf('0.37.2.0',plain,
% 0.61/1.01 ( double_divide(identity,multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_37]).
% 0.61/1.01 cnf('0.41.0.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(X2),X1)))) = X2 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.61/1.01 cnf('0.41.0.1',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),multiply(inverse(X2),X1)) = X2 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.41.0.0','0.35.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.41.1.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),multiply(inverse(X2),X1)) = X2 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.61/1.01 [weight('<89,20,35,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.41.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),multiply(inverse(X2),X1)) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_41]).
% 0.61/1.01 cnf('0.42.0.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(identity,X1),multiply(identity,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.41.2.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.42.1.0',plain,
% 0.61/1.01 ( identity = double_divide(double_divide(identity,X1),multiply(identity,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.61/1.01 [weight('<71,41,31,[1,0,0,5]>')]).
% 0.61/1.01 cnf('0.42.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),multiply(identity,X1)) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_42]).
% 0.61/1.01 cnf('0.43.0.0',plain,
% 0.61/1.01 ( identity = double_divide(X1,multiply(identity,inverse(X1))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.42.2.0','0.35.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.43.1.0',plain,
% 0.61/1.01 ( identity = double_divide(X1,multiply(identity,inverse(X1))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.61/1.01 [weight('<55,42,35,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.43.2.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(identity,inverse(X1))) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_43]).
% 0.61/1.01 cnf('0.44.0.0',plain,
% 0.61/1.01 ( multiply(multiply(identity,inverse(X1)),X1) = inverse(identity) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.43.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.44.0.1',plain,
% 0.61/1.01 ( multiply(multiply(identity,inverse(X1)),X1) = identity ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.44.0.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.44.1.0',plain,
% 0.61/1.01 ( multiply(multiply(identity,inverse(X1)),X1) = identity ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.61/1.01 [weight('<55,43,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.44.2.0',plain,
% 0.61/1.01 ( multiply(multiply(identity,inverse(X1)),X1) = identity ),
% 0.61/1.01 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_44]).
% 0.61/1.01 cnf('0.45.0.0',plain,
% 0.61/1.01 ( X1 = double_divide(X2,multiply(inverse(X1),inverse(X2))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.41.2.0','0.35.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.45.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(X2,multiply(inverse(X1),inverse(X2))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.61/1.01 [weight('<71,41,35,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.45.2.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(inverse(X2),inverse(X1))) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_45]).
% 0.61/1.01 cnf('0.47.0.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = inverse(X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.45.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.47.1.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = inverse(X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.61/1.01 [weight('<79,45,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.47.2.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_47]).
% 0.61/1.01 cnf('0.51.0.0',plain,
% 0.61/1.01 ( inverse(X1) = double_divide(X2,multiply(multiply(identity,X1),inverse(X2))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.45.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.51.1.0',plain,
% 0.61/1.01 ( inverse(X1) = double_divide(X2,multiply(multiply(identity,X1),inverse(X2))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.61/1.01 [weight('<98,45,5,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.51.2.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(multiply(identity,X2),inverse(X1))) = inverse(X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_51]).
% 0.61/1.01 cnf('0.52.0.0',plain,
% 0.61/1.01 ( inverse(inverse(inverse(X1))) = double_divide(X1,identity) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.51.2.0','0.44.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.52.0.1',plain,
% 0.61/1.01 ( multiply(identity,inverse(X1)) = double_divide(X1,identity) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.52.0.0','0.5.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.52.0.2',plain,
% 0.61/1.01 ( multiply(identity,inverse(X1)) = inverse(X1) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.52.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.52.1.0',plain,
% 0.61/1.01 ( multiply(identity,inverse(X1)) = inverse(X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.52.0.2']),
% 0.61/1.01 [weight('<34,51,44,[1,0,0,2]>')]).
% 0.61/1.01 cnf('0.52.2.0',plain,
% 0.61/1.01 ( multiply(identity,inverse(X1)) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_52]).
% 0.61/1.01 cnf('0.53.0.0',plain,
% 0.61/1.01 ( double_divide(inverse(X1),identity) = double_divide(identity,inverse(X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.37.2.0','0.52.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.53.0.1',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = double_divide(identity,inverse(X1)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.53.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.53.0.2',plain,
% 0.61/1.01 ( multiply(identity,X1) = double_divide(identity,inverse(X1)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.53.0.1','0.5.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.53.0.3',plain,
% 0.61/1.01 ( multiply(identity,X1) = X1 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.53.0.2','0.35.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.53.1.0',plain,
% 0.61/1.01 ( multiply(identity,X1) = X1 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.53.0.3']),
% 0.61/1.01 [weight('<19,52,37,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.53.2.0',plain,
% 0.61/1.01 ( multiply(identity,X1) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_53]).
% 0.61/1.01 cnf('0.54.0.0',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.61/1.01 cnf('0.54.0.1',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.54.0.0','0.53.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.54.1.0',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.61/1.01 [weight('<?,5,53,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.54.2.0',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_54]).
% 0.61/1.01 cnf('0.55.0.0',plain,
% 0.61/1.01 ( double_divide(X1,identity) = double_divide(identity,X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.37.2.0','0.53.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.55.0.1',plain,
% 0.61/1.01 ( inverse(X1) = double_divide(identity,X1) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.55.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.55.1.0',plain,
% 0.61/1.01 ( inverse(X1) = double_divide(identity,X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.61/1.01 [weight('<23,53,37,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.55.2.0',plain,
% 0.61/1.01 ( double_divide(identity,X1) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_55]).
% 0.61/1.01 cnf('0.58.0.0',plain,
% 0.61/1.01 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.61/1.01 cnf('0.58.0.1',plain,
% 0.61/1.01 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.58.0.0','0.53.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.58.1.0',plain,
% 0.61/1.01 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.61/1.01 [weight('<39,9,53,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.58.2.0',plain,
% 0.61/1.01 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_58]).
% 0.61/1.01 cnf('0.59.0.0',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.47.2.0','0.54.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.1','L')]).
% 0.61/1.01 cnf('0.59.0.1',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.59.0.0','0.54.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.59.1.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.61/1.01 [weight('<55,54,47,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.59.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_59]).
% 0.61/1.01 cnf('0.61.0.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(multiply(identity,X2),inverse(X1))) = inverse(X2) ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.51.2.0'])).
% 0.61/1.01 cnf('0.61.0.1',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.61.0.0','0.53.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.61.1.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.61/1.01 [weight('<62,51,53,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.61.2.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X2,inverse(X1))) = inverse(X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_61]).
% 0.61/1.01 cnf('0.65.0.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,multiply(X2,X3)),double_divide(X3,X2)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.59.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2','L')]).
% 0.61/1.01 cnf('0.65.1.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,multiply(X2,X3)),double_divide(X3,X2)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.61/1.01 [weight('<109,59,4,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.65.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,multiply(X2,X3)),double_divide(X3,X2)) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_65]).
% 0.61/1.01 cnf('0.69.0.0',plain,
% 0.61/1.01 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.61/1.01 cnf('0.69.0.1',plain,
% 0.61/1.01 ( double_divide(inverse(X1),double_divide(identity,double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.69.0.0','0.55.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.69.0.2',plain,
% 0.61/1.01 ( double_divide(inverse(X1),inverse(double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.69.0.1','0.55.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.69.0.3',plain,
% 0.61/1.01 ( double_divide(inverse(X1),multiply(double_divide(X3,X2),multiply(X2,X1))) = X3 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.69.0.2','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.69.1.0',plain,
% 0.61/1.01 ( double_divide(inverse(X1),multiply(double_divide(X3,X2),multiply(X2,X1))) = X3 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.69.0.3']),
% 0.61/1.01 [weight('<131,19,55,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.69.2.0',plain,
% 0.61/1.01 ( double_divide(inverse(X1),multiply(double_divide(X2,X3),multiply(X3,X1))) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_69]).
% 0.61/1.01 cnf('0.70.0.0',plain,
% 0.61/1.01 ( X1 = double_divide(inverse(identity),multiply(double_divide(X1,X2),X2)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.69.2.0','0.30.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2','L')]).
% 0.61/1.01 cnf('0.70.0.1',plain,
% 0.61/1.01 ( X1 = double_divide(identity,multiply(double_divide(X1,X2),X2)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.70.0.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.1','L')]).
% 0.61/1.01 cnf('0.70.0.2',plain,
% 0.61/1.01 ( X1 = inverse(multiply(double_divide(X1,X2),X2)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.70.0.1','0.55.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.70.0.3',plain,
% 0.61/1.01 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.70.0.2','0.58.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.70.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.70.0.3']),
% 0.61/1.01 [weight('<41,69,30,[1,0,0,7]>')]).
% 0.61/1.01 cnf('0.70.2.0',plain,
% 0.61/1.01 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_70]).
% 0.61/1.01 cnf('0.71.0.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(X2,X1),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.70.2.0','0.70.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.71.1.0',plain,
% 0.61/1.01 ( X1 = double_divide(double_divide(X2,X1),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.61/1.01 [weight('<41,70,70,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.71.2.0',plain,
% 0.61/1.01 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_71]).
% 0.61/1.01 cnf('0.72.0.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.71.2.0','0.61.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.72.1.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.61/1.01 [weight('<44,71,61,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.72.2.0',plain,
% 0.61/1.01 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_72]).
% 0.61/1.01 cnf('0.74.0.0',plain,
% 0.61/1.01 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.70.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.74.1.0',plain,
% 0.61/1.01 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.61/1.01 [weight('<47,70,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.74.2.0',plain,
% 0.61/1.01 ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_74]).
% 0.61/1.01 cnf('0.82.0.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X2,X3)) = multiply(inverse(X1),double_divide(X3,X2)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.65.2.0','0.74.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.82.1.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X2,X3)) = multiply(inverse(X1),double_divide(X3,X2)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.82.0.0']),
% 0.61/1.01 [weight('<83,74,65,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.82.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),double_divide(X2,X3)) = double_divide(X1,multiply(X3,X2)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_82]).
% 0.61/1.01 cnf('0.84.0.0',plain,
% 0.61/1.01 ( double_divide(inverse(X1),multiply(double_divide(X2,X3),multiply(X3,X1))) = X2 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.69.2.0'])).
% 0.61/1.01 cnf('0.84.0.1',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(double_divide(X2,X3),multiply(X3,X1)))) = X2 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.84.0.0','0.72.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.84.0.2',plain,
% 0.61/1.01 ( multiply(X1,double_divide(multiply(X3,X1),double_divide(X2,X3))) = X2 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.84.0.1','0.58.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.84.1.0',plain,
% 0.61/1.01 ( multiply(X1,double_divide(multiply(X3,X1),double_divide(X2,X3))) = X2 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.84.0.2']),
% 0.61/1.01 [weight('<109,69,72,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.84.2.0',plain,
% 0.61/1.01 ( multiply(X1,double_divide(multiply(X2,X1),double_divide(X3,X2))) = X3 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_84]).
% 0.61/1.01 cnf('0.85.0.0',plain,
% 0.61/1.01 ( double_divide(X1,X2) = multiply(X3,double_divide(multiply(X1,X3),X2)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.84.2.0','0.71.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2','L')]).
% 0.61/1.01 cnf('0.85.1.0',plain,
% 0.61/1.01 ( double_divide(X1,X2) = multiply(X3,double_divide(multiply(X1,X3),X2)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.85.0.0']),
% 0.61/1.01 [weight('<87,84,71,[1,0,0,6]>')]).
% 0.61/1.01 cnf('0.85.2.0',plain,
% 0.61/1.01 ( multiply(X1,double_divide(multiply(X2,X1),X3)) = double_divide(X2,X3) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_85]).
% 0.61/1.01 cnf('0.86.0.0',plain,
% 0.61/1.01 ( double_divide(multiply(X1,inverse(X2)),X3) = multiply(X2,double_divide(X1,X3)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.85.2.0','0.59.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.86.1.0',plain,
% 0.61/1.01 ( double_divide(multiply(X1,inverse(X2)),X3) = multiply(X2,double_divide(X1,X3)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.86.0.0']),
% 0.61/1.01 [weight('<83,85,59,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.86.2.0',plain,
% 0.61/1.01 ( double_divide(multiply(X1,inverse(X2)),X3) = multiply(X2,double_divide(X1,X3)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_86]).
% 0.61/1.01 cnf('0.87.0.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),double_divide(X2,X3)) = double_divide(multiply(X2,X1),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.86.2.0','0.54.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2','L')]).
% 0.61/1.01 cnf('0.87.0.1',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X3,X2)) = double_divide(multiply(X2,X1),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.87.0.0','0.82.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.87.1.0',plain,
% 0.61/1.01 ( double_divide(X1,multiply(X3,X2)) = double_divide(multiply(X2,X1),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.87.0.1']),
% 0.61/1.01 [weight('<65,86,54,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.87.2.0',plain,
% 0.61/1.01 ( double_divide(multiply(X1,X2),X3) = double_divide(X2,multiply(X3,X1)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_87]).
% 0.61/1.01 cnf('0.88.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = inverse(double_divide(X3,multiply(X1,X2))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.87.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.88.0.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.88.0.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.88.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.88.0.1']),
% 0.61/1.01 [weight('<65,87,4,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.88.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_88]).
% 0.61/1.01 cnf('1.0.0.0',conjecture,
% 0.61/1.01 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_5664_n027',conjecture_1)).
% 0.61/1.01 cnf('1.0.0.1',plain,
% 0.61/1.01 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.88.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('1.0.0.2',plain,
% 0.61/1.01 ( $true ),
% 0.61/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.61/1.01 [conjecture_1]).
% 0.61/1.01
% 0.61/1.01 Proved Goals:
% 0.61/1.01 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.61/1.01 1 goal was specified, which was proved.
% 0.61/1.01 % SZS output end CNFRefutation
% 0.61/1.01 #END OF PROOF
% 0.61/1.01
% 0.61/1.01 Problem WALDMEISTER_5664_n027
% 0.61/1.01 CPs.gen 1305
% 0.61/1.01 CPs.reexp 0
% 0.61/1.01 Select 223
% 0.61/1.01 R 88
% 0.61/1.01 E 0
% 0.61/1.01 vsize 6.5M
% 0.61/1.01 rss 3.8M
% 0.61/1.01 process.time 0.008s
% 0.61/1.01 wallclock.time 0.008s
% 0.61/1.01 status S
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Waldmeister states: Goal proved.
% 0.61/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------