TSTP Solution File: GRP483-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP483-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 12:26:27 EDT 2022
% Result : Unsatisfiable 0.42s 0.84s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP483-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.09 % Command : woody %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 10:47:27 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.42/0.84 ********************************************************************************
% 0.42/0.84 * W A L D M E I S T E R \| \ / \|/ *
% 0.42/0.84 * |/ | \/ | *
% 0.42/0.84 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.42/0.84 * A. Jaeger and B. Loechner | | *
% 0.42/0.84 * <waldmeister@informatik.uni-kl.de> | *
% 0.42/0.84 ********************************************************************************
% 0.42/0.84
% 0.42/0.84
% 0.42/0.84 Goals:
% 0.42/0.84 ------
% 0.42/0.84
% 0.42/0.84 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.42/0.84
% 0.42/0.84 Detected structure: Orkus
% 0.42/0.84 ********************************************************************************
% 0.42/0.84 ****************************** COMPLETION - PROOF ******************************
% 0.42/0.84 ********************************************************************************
% 0.42/0.84
% 0.42/0.84 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.42/0.84 goal joined
% 0.42/0.84 % SZS status Unsatisfiable
% 0.42/0.84 #START OF PROOF
% 0.42/0.84 % SZS output start CNFRefutation
% 0.42/0.84 cnf('0.1.0.0',axiom,
% 0.42/0.84 ( X1 = double_divide(double_divide(double_divide(X2,double_divide(X3,identity)),double_divide(double_divide(X1,double_divide(X4,double_divide(X4,identity))),double_divide(X2,identity))),X3) ),
% 0.42/0.84 file('/tmp/WALDMEISTER_8969_n032')).
% 0.42/0.84 cnf('0.1.1.0',plain,
% 0.42/0.84 ( X1 = double_divide(double_divide(double_divide(X2,double_divide(X3,identity)),double_divide(double_divide(X1,double_divide(X4,double_divide(X4,identity))),double_divide(X2,identity))),X3) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.42/0.84 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.42/0.84 cnf('0.1.2.0',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,double_divide(X4,double_divide(X4,identity))),double_divide(X1,identity))),X2) = X3 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_1]).
% 0.42/0.84 cnf('0.2.0.0',axiom,
% 0.42/0.84 ( double_divide(X1,identity) = inverse(X1) ),
% 0.42/0.84 file('/tmp/WALDMEISTER_8969_n032')).
% 0.42/0.84 cnf('0.2.1.0',plain,
% 0.42/0.84 ( double_divide(X1,identity) = inverse(X1) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.42/0.84 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.42/0.84 cnf('0.2.2.0',plain,
% 0.42/0.84 ( double_divide(X1,identity) = inverse(X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_2]).
% 0.42/0.84 cnf('0.3.0.0',axiom,
% 0.42/0.84 ( double_divide(X1,inverse(X1)) = identity ),
% 0.42/0.84 file('/tmp/WALDMEISTER_8969_n032')).
% 0.42/0.84 cnf('0.3.1.0',plain,
% 0.42/0.84 ( double_divide(X1,inverse(X1)) = identity ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.42/0.84 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.42/0.84 cnf('0.3.2.0',plain,
% 0.42/0.84 ( double_divide(X1,inverse(X1)) = identity ),
% 0.42/0.84 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_3]).
% 0.42/0.84 cnf('0.4.0.0',axiom,
% 0.42/0.84 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.42/0.84 file('/tmp/WALDMEISTER_8969_n032')).
% 0.42/0.84 cnf('0.4.1.0',plain,
% 0.42/0.84 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.42/0.84 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.42/0.84 cnf('0.4.1.1',plain,
% 0.42/0.84 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('L','L')]).
% 0.42/0.84 cnf('0.4.2.0',plain,
% 0.42/0.84 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.42/0.84 [u,rule_4]).
% 0.42/0.84 cnf('0.5.0.0',plain,
% 0.42/0.84 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.5.1.0',plain,
% 0.42/0.84 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.42/0.84 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.42/0.84 cnf('0.5.2.0',plain,
% 0.42/0.84 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_5]).
% 0.42/0.84 cnf('0.6.0.0',plain,
% 0.42/0.84 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.6.1.0',plain,
% 0.42/0.84 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.42/0.84 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.42/0.84 cnf('0.6.2.0',plain,
% 0.42/0.84 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_6]).
% 0.42/0.84 cnf('0.7.0.0',plain,
% 0.42/0.84 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.7.1.0',plain,
% 0.42/0.84 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.42/0.84 [weight('<44,5,5,[0,0,0,1]>')]).
% 0.42/0.84 cnf('0.7.2.0',plain,
% 0.42/0.84 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_7]).
% 0.42/0.84 cnf('0.9.0.0',plain,
% 0.42/0.84 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.9.1.0',plain,
% 0.42/0.84 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.42/0.84 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.42/0.84 cnf('0.9.2.0',plain,
% 0.42/0.84 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_9]).
% 0.42/0.84 cnf('0.21.0.0',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,double_divide(X4,double_divide(X4,identity))),double_divide(X1,identity))),X2) = X3 ),
% 0.42/0.84 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.42/0.84 cnf('0.21.0.1',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(X3,double_divide(X4,double_divide(X4,identity))),double_divide(X1,identity))),X2) = X3 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.1.2','L')]).
% 0.42/0.84 cnf('0.21.0.2',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(X3,double_divide(X4,inverse(X4))),double_divide(X1,identity))),X2) = X3 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.21.0.1','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2.1.2.2','L')]).
% 0.42/0.84 cnf('0.21.0.3',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(X3,double_divide(X4,inverse(X4))),inverse(X1))),X2) = X3 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.21.0.2','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2.2','L')]).
% 0.42/0.84 cnf('0.21.1.0',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(X3,double_divide(X4,inverse(X4))),inverse(X1))),X2) = X3 ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.21.0.3']),
% 0.42/0.84 [weight('<305,1,2,[0,0,0,0]>')]).
% 0.42/0.84 cnf('0.21.1.1',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(X3,identity),inverse(X1))),X2) = X3 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.21.1.0','0.3.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2.1.2','L')]).
% 0.42/0.84 cnf('0.21.1.2',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(inverse(X3),inverse(X1))),X2) = X3 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.21.1.1','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2.1','L')]).
% 0.42/0.84 cnf('0.21.2.0',plain,
% 0.42/0.84 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(inverse(X3),inverse(X1))),X2) = X3 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.21.1.2',theory(equality)]),
% 0.42/0.84 [u,rule_21]).
% 0.42/0.84 cnf('0.22.0.0',plain,
% 0.42/0.84 ( X1 = double_divide(double_divide(double_divide(inverse(X1),inverse(X2)),identity),X2) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.21.2.0','0.3.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2','L')]).
% 0.42/0.84 cnf('0.22.0.1',plain,
% 0.42/0.84 ( X1 = double_divide(inverse(double_divide(inverse(X1),inverse(X2))),X2) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.22.0.0','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('R.1','L')]).
% 0.42/0.84 cnf('0.22.0.2',plain,
% 0.42/0.84 ( X1 = double_divide(multiply(inverse(X2),inverse(X1)),X2) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.22.0.1','0.4.2.0',theory(equality)]),
% 0.42/0.84 [pos('R.1','L')]).
% 0.42/0.84 cnf('0.22.1.0',plain,
% 0.42/0.84 ( X1 = double_divide(multiply(inverse(X2),inverse(X1)),X2) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.22.0.2']),
% 0.42/0.84 [weight('<71,21,3,[1,0,0,6]>')]).
% 0.42/0.84 cnf('0.22.2.0',plain,
% 0.42/0.84 ( double_divide(multiply(inverse(X1),inverse(X2)),X1) = X2 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_22]).
% 0.42/0.84 cnf('0.23.0.0',plain,
% 0.42/0.84 ( X1 = double_divide(inverse(identity),inverse(X1)) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.22.2.0','0.6.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.23.1.0',plain,
% 0.42/0.84 ( X1 = double_divide(inverse(identity),inverse(X1)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.42/0.84 [weight('<41,22,6,[1,0,0,1]>')]).
% 0.42/0.84 cnf('0.23.2.0',plain,
% 0.42/0.84 ( double_divide(inverse(identity),inverse(X1)) = X1 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_23]).
% 0.42/0.84 cnf('0.24.0.0',plain,
% 0.42/0.84 ( inverse(identity) = identity ),
% 0.42/0.84 inference(cp,[status(thm)],['0.23.2.0','0.3.2.0',theory(equality)]),
% 0.42/0.84 [pos('L','L')]).
% 0.42/0.84 cnf('0.24.1.0',plain,
% 0.42/0.84 ( inverse(identity) = identity ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.42/0.84 [weight('<11,23,3,[1,0,0,0]>')]).
% 0.42/0.84 cnf('0.24.2.0',plain,
% 0.42/0.84 ( inverse(identity) = identity ),
% 0.42/0.84 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_24]).
% 0.42/0.84 cnf('0.27.0.0',plain,
% 0.42/0.84 ( double_divide(inverse(identity),inverse(X1)) = X1 ),
% 0.42/0.84 inference(interreduction_right,[status(thm)],['0.23.2.0'])).
% 0.42/0.84 cnf('0.27.0.1',plain,
% 0.42/0.84 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.27.0.0','0.24.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.27.1.0',plain,
% 0.42/0.84 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.42/0.84 [weight('<29,23,24,[0,0,0,0]>')]).
% 0.42/0.84 cnf('0.27.2.0',plain,
% 0.42/0.84 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_27]).
% 0.42/0.84 cnf('0.29.0.0',plain,
% 0.42/0.84 ( X1 = double_divide(multiply(identity,inverse(X1)),identity) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.22.2.0','0.24.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.1','L')]).
% 0.42/0.84 cnf('0.29.0.1',plain,
% 0.42/0.84 ( X1 = inverse(multiply(identity,inverse(X1))) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.29.0.0','0.2.2.0',theory(equality)]),
% 0.42/0.84 [pos('R','L')]).
% 0.42/0.84 cnf('0.29.0.2',plain,
% 0.42/0.84 ( X1 = multiply(identity,inverse(inverse(X1))) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.29.0.1','0.7.2.0',theory(equality)]),
% 0.42/0.84 [pos('R','L')]).
% 0.42/0.84 cnf('0.29.0.3',plain,
% 0.42/0.84 ( X1 = multiply(identity,multiply(identity,X1)) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.29.0.2','0.5.2.0',theory(equality)]),
% 0.42/0.84 [pos('R.2','L')]).
% 0.42/0.84 cnf('0.29.1.0',plain,
% 0.42/0.84 ( X1 = multiply(identity,multiply(identity,X1)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.29.0.3']),
% 0.42/0.84 [weight('<41,24,22,[0,0,0,2]>')]).
% 0.42/0.84 cnf('0.29.2.0',plain,
% 0.42/0.84 ( multiply(identity,multiply(identity,X1)) = X1 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_29]).
% 0.42/0.84 cnf('0.30.0.0',plain,
% 0.42/0.84 ( inverse(X1) = double_divide(identity,multiply(identity,X1)) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.27.2.0','0.5.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.2','L')]).
% 0.42/0.84 cnf('0.30.1.0',plain,
% 0.42/0.84 ( inverse(X1) = double_divide(identity,multiply(identity,X1)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.42/0.84 [weight('<47,27,5,[1,0,0,2]>')]).
% 0.42/0.84 cnf('0.30.2.0',plain,
% 0.42/0.84 ( double_divide(identity,multiply(identity,X1)) = inverse(X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_30]).
% 0.42/0.84 cnf('0.31.0.0',plain,
% 0.42/0.84 ( inverse(multiply(identity,X1)) = double_divide(identity,X1) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.30.2.0','0.29.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.2','L')]).
% 0.42/0.84 cnf('0.31.0.1',plain,
% 0.42/0.84 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.31.0.0','0.7.2.0',theory(equality)]),
% 0.42/0.84 [pos('L','L')]).
% 0.42/0.84 cnf('0.31.1.0',plain,
% 0.42/0.84 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.42/0.84 [weight('<39,30,29,[1,0,0,2]>')]).
% 0.42/0.84 cnf('0.31.2.0',plain,
% 0.42/0.84 ( multiply(identity,inverse(X1)) = double_divide(identity,X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_31]).
% 0.42/0.84 cnf('0.32.0.0',plain,
% 0.42/0.84 ( inverse(X1) = multiply(identity,double_divide(identity,X1)) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.29.2.0','0.31.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.2','L')]).
% 0.42/0.84 cnf('0.32.0.1',plain,
% 0.42/0.84 ( inverse(X1) = inverse(multiply(X1,identity)) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 0.42/0.84 [pos('R','L')]).
% 0.42/0.84 cnf('0.32.1.0',plain,
% 0.42/0.84 ( inverse(X1) = inverse(multiply(X1,identity)) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.42/0.84 [weight('<34,31,29,[0,0,0,2]>')]).
% 0.42/0.84 cnf('0.32.2.0',plain,
% 0.42/0.84 ( inverse(multiply(X1,identity)) = inverse(X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_32]).
% 0.42/0.84 cnf('0.33.0.0',plain,
% 0.42/0.84 ( multiply(X1,identity) = double_divide(double_divide(double_divide(X2,inverse(X3)),double_divide(inverse(X1),inverse(X2))),X3) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.21.2.0','0.32.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2.1','L')]).
% 0.42/0.84 cnf('0.33.0.1',plain,
% 0.42/0.84 ( multiply(X1,identity) = X1 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.33.0.0','0.21.2.0',theory(equality)]),
% 0.42/0.84 [pos('R','L')]).
% 0.42/0.84 cnf('0.33.1.0',plain,
% 0.42/0.84 ( multiply(X1,identity) = X1 ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.42/0.84 [weight('<19,32,21,[0,0,0,7]>')]).
% 0.42/0.84 cnf('0.33.2.0',plain,
% 0.42/0.84 ( multiply(X1,identity) = X1 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_33]).
% 0.42/0.84 cnf('0.40.0.0',plain,
% 0.42/0.84 ( identity = double_divide(multiply(inverse(X1),identity),X1) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.22.2.0','0.24.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1.2','L')]).
% 0.42/0.84 cnf('0.40.1.0',plain,
% 0.42/0.84 ( identity = double_divide(multiply(inverse(X1),identity),X1) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.42/0.84 [weight('<55,24,22,[0,0,0,4]>')]).
% 0.42/0.84 cnf('0.40.1.1',plain,
% 0.42/0.84 ( identity = double_divide(inverse(X1),X1) ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.40.1.0','0.33.2.0',theory(equality)]),
% 0.42/0.84 [pos('R.1','L')]).
% 0.42/0.84 cnf('0.40.2.0',plain,
% 0.42/0.84 ( double_divide(inverse(X1),X1) = identity ),
% 0.42/0.84 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 0.42/0.84 [x,rule_40]).
% 0.42/0.84 cnf('0.41.0.0',plain,
% 0.42/0.84 ( multiply(X1,inverse(X1)) = inverse(identity) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.4.2.0','0.40.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.41.0.1',plain,
% 0.42/0.84 ( multiply(X1,inverse(X1)) = identity ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.41.0.0','0.24.2.0',theory(equality)]),
% 0.42/0.84 [pos('R','L')]).
% 0.42/0.84 cnf('0.41.1.0',plain,
% 0.42/0.84 ( multiply(X1,inverse(X1)) = identity ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.42/0.84 [weight('<29,40,4,[0,0,0,1]>')]).
% 0.42/0.84 cnf('0.41.2.0',plain,
% 0.42/0.84 ( multiply(X1,inverse(X1)) = identity ),
% 0.42/0.84 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_41]).
% 0.42/0.84 cnf('0.42.0.0',plain,
% 0.42/0.84 ( inverse(X1) = double_divide(identity,X1) ),
% 0.42/0.84 inference(cp,[status(thm)],['0.22.2.0','0.41.2.0',theory(equality)]),
% 0.42/0.84 [pos('L.1','L')]).
% 0.42/0.84 cnf('0.42.1.0',plain,
% 0.42/0.84 ( inverse(X1) = double_divide(identity,X1) ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.42/0.84 [weight('<23,41,22,[0,0,0,1]>')]).
% 0.42/0.84 cnf('0.42.2.0',plain,
% 0.42/0.84 ( double_divide(identity,X1) = inverse(X1) ),
% 0.42/0.84 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.42/0.84 [x,rule_42]).
% 0.42/0.84 cnf('0.43.0.0',plain,
% 0.42/0.84 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.42/0.84 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 0.42/0.84 cnf('0.43.0.1',plain,
% 0.42/0.84 ( inverse(inverse(X1)) = X1 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.43.0.0','0.42.2.0',theory(equality)]),
% 0.42/0.84 [pos('L','L')]).
% 0.42/0.84 cnf('0.43.0.2',plain,
% 0.42/0.84 ( multiply(identity,X1) = X1 ),
% 0.42/0.84 inference(reduction,[status(thm)],['0.43.0.1','0.5.2.0',theory(equality)]),
% 0.42/0.84 [pos('L','L')]).
% 0.42/0.84 cnf('0.43.1.0',plain,
% 0.42/0.84 ( multiply(identity,X1) = X1 ),
% 0.42/0.84 inference(weigh,[status(thm)],['0.43.0.2']),
% 0.42/0.84 [weight('<19,27,42,[0,0,0,0]>')]).
% 0.42/0.84 cnf('0.43.2.0',plain,
% 0.42/0.84 ( multiply(identity,X1) = X1 ),
% 0.42/0.84 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.42/0.84 [u,rule_43]).
% 0.42/0.84 cnf('0.44.0.0',plain,
% 0.42/0.84 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.42/0.84 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.42/0.84 cnf('0.44.0.1',plain,
% 0.42/0.85 ( inverse(inverse(X1)) = X1 ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.44.0.0','0.43.2.0',theory(equality)]),
% 0.42/0.85 [pos('R','L')]).
% 0.42/0.85 cnf('0.44.1.0',plain,
% 0.42/0.85 ( inverse(inverse(X1)) = X1 ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.42/0.85 [weight('<19,5,43,[0,0,0,0]>')]).
% 0.42/0.85 cnf('0.44.2.0',plain,
% 0.42/0.85 ( inverse(inverse(X1)) = X1 ),
% 0.42/0.85 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.42/0.85 [u,rule_44]).
% 0.42/0.85 cnf('0.45.0.0',plain,
% 0.42/0.85 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.42/0.85 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.42/0.85 cnf('0.45.0.1',plain,
% 0.42/0.85 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.45.0.0','0.43.2.0',theory(equality)]),
% 0.42/0.85 [pos('L','L')]).
% 0.42/0.85 cnf('0.45.1.0',plain,
% 0.42/0.85 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.42/0.85 [weight('<39,9,43,[0,0,0,0]>')]).
% 0.42/0.85 cnf('0.45.2.0',plain,
% 0.42/0.85 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_45]).
% 0.42/0.85 cnf('0.46.0.0',plain,
% 0.42/0.85 ( inverse(X1) = double_divide(double_divide(double_divide(X1,inverse(X2)),identity),X2) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.21.2.0','0.40.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1.2','L')]).
% 0.42/0.85 cnf('0.46.0.1',plain,
% 0.42/0.85 ( inverse(X1) = double_divide(inverse(double_divide(X1,inverse(X2))),X2) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.46.0.0','0.2.2.0',theory(equality)]),
% 0.42/0.85 [pos('R.1','L')]).
% 0.42/0.85 cnf('0.46.0.2',plain,
% 0.42/0.85 ( inverse(X1) = double_divide(multiply(inverse(X2),X1),X2) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.46.0.1','0.4.2.0',theory(equality)]),
% 0.42/0.85 [pos('R.1','L')]).
% 0.42/0.85 cnf('0.46.1.0',plain,
% 0.42/0.85 ( inverse(X1) = double_divide(multiply(inverse(X2),X1),X2) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.46.0.2']),
% 0.42/0.85 [weight('<62,40,21,[0,0,0,6]>')]).
% 0.42/0.85 cnf('0.46.2.0',plain,
% 0.42/0.85 ( double_divide(multiply(inverse(X1),X2),X1) = inverse(X2) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_46]).
% 0.42/0.85 cnf('0.54.0.0',plain,
% 0.42/0.85 ( multiply(X1,double_divide(double_divide(X2,inverse(X1)),double_divide(inverse(X3),inverse(X2)))) = inverse(X3) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.4.2.0','0.21.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1','L')]).
% 0.42/0.85 cnf('0.54.1.0',plain,
% 0.42/0.85 ( multiply(X1,double_divide(double_divide(X2,inverse(X1)),double_divide(inverse(X3),inverse(X2)))) = inverse(X3) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.42/0.85 [weight('<?,21,4,[0,0,0,1]>')]).
% 0.42/0.85 cnf('0.54.2.0',plain,
% 0.42/0.85 ( multiply(X1,double_divide(double_divide(X2,inverse(X1)),double_divide(inverse(X3),inverse(X2)))) = inverse(X3) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.42/0.85 [u,rule_54]).
% 0.42/0.85 cnf('0.55.0.0',plain,
% 0.42/0.85 ( inverse(X1) = multiply(X2,double_divide(double_divide(identity,inverse(X2)),double_divide(inverse(X1),identity))) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.54.2.0','0.24.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.2.2.2','L')]).
% 0.42/0.85 cnf('0.55.0.1',plain,
% 0.42/0.85 ( inverse(X1) = multiply(X2,double_divide(inverse(inverse(X2)),double_divide(inverse(X1),identity))) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.55.0.0','0.42.2.0',theory(equality)]),
% 0.42/0.85 [pos('R.2.1','L')]).
% 0.42/0.85 cnf('0.55.0.2',plain,
% 0.42/0.85 ( inverse(X1) = multiply(X2,double_divide(X2,double_divide(inverse(X1),identity))) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.55.0.1','0.44.2.0',theory(equality)]),
% 0.42/0.85 [pos('R.2.1','L')]).
% 0.42/0.85 cnf('0.55.0.3',plain,
% 0.42/0.85 ( inverse(X1) = multiply(X2,double_divide(X2,inverse(inverse(X1)))) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.55.0.2','0.2.2.0',theory(equality)]),
% 0.42/0.85 [pos('R.2.2','L')]).
% 0.42/0.85 cnf('0.55.0.4',plain,
% 0.42/0.85 ( inverse(X1) = multiply(X2,double_divide(X2,X1)) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.55.0.3','0.44.2.0',theory(equality)]),
% 0.42/0.85 [pos('R.2.2','L')]).
% 0.42/0.85 cnf('0.55.1.0',plain,
% 0.42/0.85 ( inverse(X1) = multiply(X2,double_divide(X2,X1)) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.55.0.4']),
% 0.42/0.85 [weight('<47,54,24,[1,0,0,10]>')]).
% 0.42/0.85 cnf('0.55.2.0',plain,
% 0.42/0.85 ( multiply(X1,double_divide(X1,X2)) = inverse(X2) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_55]).
% 0.42/0.85 cnf('0.56.0.0',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),X1) = inverse(inverse(X2)) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.45.2.0','0.55.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1','L')]).
% 0.42/0.85 cnf('0.56.0.1',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.56.0.0','0.44.2.0',theory(equality)]),
% 0.42/0.85 [pos('R','L')]).
% 0.42/0.85 cnf('0.56.1.0',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.42/0.85 [weight('<41,55,45,[0,0,0,1]>')]).
% 0.42/0.85 cnf('0.56.2.0',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),X1) = X2 ),
% 0.42/0.85 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.42/0.85 [u,rule_56]).
% 0.42/0.85 cnf('0.57.0.0',plain,
% 0.42/0.85 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.56.2.0','0.56.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1','L')]).
% 0.42/0.85 cnf('0.57.1.0',plain,
% 0.42/0.85 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.42/0.85 [weight('<41,56,56,[0,0,0,1]>')]).
% 0.42/0.85 cnf('0.57.2.0',plain,
% 0.42/0.85 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.42/0.85 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_57]).
% 0.42/0.85 cnf('0.58.0.0',plain,
% 0.42/0.85 ( inverse(double_divide(inverse(X1),X2)) = double_divide(inverse(X2),X1) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.46.2.0','0.55.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1','L')]).
% 0.42/0.85 cnf('0.58.0.1',plain,
% 0.42/0.85 ( multiply(X2,inverse(X1)) = double_divide(inverse(X2),X1) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.58.0.0','0.4.2.0',theory(equality)]),
% 0.42/0.85 [pos('L','L')]).
% 0.42/0.85 cnf('0.58.1.0',plain,
% 0.42/0.85 ( multiply(X2,inverse(X1)) = double_divide(inverse(X2),X1) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.42/0.85 [weight('<44,55,46,[0,0,0,1]>')]).
% 0.42/0.85 cnf('0.58.2.0',plain,
% 0.42/0.85 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_58]).
% 0.42/0.85 cnf('0.66.0.0',plain,
% 0.42/0.85 ( multiply(multiply(X1,X2),inverse(X3)) = double_divide(double_divide(X2,X1),X3) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.58.2.0','0.45.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1','L')]).
% 0.42/0.85 cnf('0.66.1.0',plain,
% 0.42/0.85 ( multiply(multiply(X1,X2),inverse(X3)) = double_divide(double_divide(X2,X1),X3) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.42/0.85 [weight('<83,58,45,[1,0,0,1]>')]).
% 0.42/0.85 cnf('0.66.2.0',plain,
% 0.42/0.85 ( multiply(multiply(X1,X2),inverse(X3)) = double_divide(double_divide(X2,X1),X3) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.42/0.85 [u,rule_66]).
% 0.42/0.85 cnf('0.84.0.0',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),multiply(X3,X4)) = multiply(multiply(X2,X1),double_divide(X4,X3)) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.66.2.0','0.45.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.2','L')]).
% 0.42/0.85 cnf('0.84.1.0',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),multiply(X3,X4)) = multiply(multiply(X2,X1),double_divide(X4,X3)) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.84.0.0']),
% 0.42/0.85 [weight('<119,66,45,[1,0,0,4]>')]).
% 0.42/0.85 cnf('0.84.2.0',plain,
% 0.42/0.85 ( double_divide(double_divide(X1,X2),multiply(X3,X4)) = multiply(multiply(X2,X1),double_divide(X4,X3)) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.42/0.85 [u,rule_84]).
% 0.42/0.85 cnf('0.85.0.0',plain,
% 0.42/0.85 ( double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(inverse(X3),inverse(X1))),X2) = X3 ),
% 0.42/0.85 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.42/0.85 cnf('0.85.0.1',plain,
% 0.42/0.85 ( double_divide(double_divide(double_divide(X1,inverse(X2)),multiply(X3,inverse(inverse(X1)))),X2) = X3 ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.85.0.0','0.58.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1.2','L')]).
% 0.42/0.85 cnf('0.85.0.2',plain,
% 0.42/0.85 ( double_divide(double_divide(double_divide(X1,inverse(X2)),multiply(X3,X1)),X2) = X3 ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.85.0.1','0.44.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1.2.2','L')]).
% 0.42/0.85 cnf('0.85.1.0',plain,
% 0.42/0.85 ( double_divide(double_divide(double_divide(X1,inverse(X2)),multiply(X3,X1)),X2) = X3 ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.85.0.2']),
% 0.42/0.85 [weight('<131,21,58,[0,0,0,0]>')]).
% 0.42/0.85 cnf('0.85.1.1',plain,
% 0.42/0.85 ( double_divide(multiply(multiply(inverse(X2),X1),double_divide(X1,X3)),X2) = X3 ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.85.1.0','0.84.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1','L')]).
% 0.42/0.85 cnf('0.85.2.0',plain,
% 0.42/0.85 ( double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,X3)),X1) = X3 ),
% 0.42/0.85 inference(orient,[status(thm)],['0.85.1.1',theory(equality)]),
% 0.42/0.85 [u,rule_85]).
% 0.42/0.85 cnf('0.86.0.0',plain,
% 0.42/0.85 ( multiply(multiply(inverse(X1),X2),double_divide(X2,X3)) = double_divide(X1,X3) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.57.2.0','0.85.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.2','L')]).
% 0.42/0.85 cnf('0.86.1.0',plain,
% 0.42/0.85 ( multiply(multiply(inverse(X1),X2),double_divide(X2,X3)) = double_divide(X1,X3) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.86.0.0']),
% 0.42/0.85 [weight('<107,85,57,[0,0,0,2]>')]).
% 0.42/0.85 cnf('0.86.2.0',plain,
% 0.42/0.85 ( multiply(multiply(inverse(X1),X2),double_divide(X2,X3)) = double_divide(X1,X3) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.42/0.85 [u,rule_86]).
% 0.42/0.85 cnf('0.87.0.0',plain,
% 0.42/0.85 ( double_divide(X1,double_divide(X2,X3)) = multiply(multiply(inverse(X1),X3),X2) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.86.2.0','0.57.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.2','L')]).
% 0.42/0.85 cnf('0.87.1.0',plain,
% 0.42/0.85 ( double_divide(X1,double_divide(X2,X3)) = multiply(multiply(inverse(X1),X3),X2) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.87.0.0']),
% 0.42/0.85 [weight('<83,86,57,[1,0,0,5]>')]).
% 0.42/0.85 cnf('0.87.2.0',plain,
% 0.42/0.85 ( multiply(multiply(inverse(X1),X2),X3) = double_divide(X1,double_divide(X3,X2)) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_87]).
% 0.42/0.85 cnf('0.88.0.0',plain,
% 0.42/0.85 ( double_divide(inverse(X1),double_divide(X2,X3)) = multiply(multiply(X1,X3),X2) ),
% 0.42/0.85 inference(cp,[status(thm)],['0.87.2.0','0.44.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.1.1','L')]).
% 0.42/0.85 cnf('0.88.0.1',plain,
% 0.42/0.85 ( multiply(X1,inverse(double_divide(X2,X3))) = multiply(multiply(X1,X3),X2) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.88.0.0','0.58.2.0',theory(equality)]),
% 0.42/0.85 [pos('L','L')]).
% 0.42/0.85 cnf('0.88.0.2',plain,
% 0.42/0.85 ( multiply(X1,multiply(X3,X2)) = multiply(multiply(X1,X3),X2) ),
% 0.42/0.85 inference(reduction,[status(thm)],['0.88.0.1','0.4.2.0',theory(equality)]),
% 0.42/0.85 [pos('L.2','L')]).
% 0.42/0.85 cnf('0.88.1.0',plain,
% 0.42/0.85 ( multiply(X1,multiply(X3,X2)) = multiply(multiply(X1,X3),X2) ),
% 0.42/0.85 inference(weigh,[status(thm)],['0.88.0.2']),
% 0.42/0.85 [weight('<65,87,44,[1,0,0,2]>')]).
% 0.42/0.85 cnf('0.88.2.0',plain,
% 0.42/0.85 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.42/0.85 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.42/0.85 [x,rule_88]).
% 0.42/0.85 cnf('1.0.0.0',conjecture,
% 0.42/0.85 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.42/0.85 file('/tmp/WALDMEISTER_8969_n032',conjecture_1)).
% 0.42/0.85 cnf('1.0.0.1',plain,
% 0.42/0.85 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.42/0.85 inference(reduction,[status(thm)],['1.0.0.0','0.88.2.0',theory(equality)]),
% 0.42/0.85 [pos('L','L')]).
% 0.42/0.85 cnf('1.0.0.2',plain,
% 0.42/0.85 ( $true ),
% 0.42/0.85 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.42/0.85 [conjecture_1]).
% 0.42/0.85
% 0.42/0.85 Proved Goals:
% 0.42/0.85 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.42/0.85 1 goal was specified, which was proved.
% 0.42/0.85 % SZS output end CNFRefutation
% 0.42/0.85 #END OF PROOF
% 0.42/0.85
% 0.42/0.85 Problem WALDMEISTER_8969_n032
% 0.42/0.85 CPs.gen 1721
% 0.42/0.85 CPs.reexp 0
% 0.42/0.85 Select 222
% 0.42/0.85 R 88
% 0.42/0.85 E 0
% 0.42/0.85 vsize 6.5M
% 0.42/0.85 rss 3.8M
% 0.42/0.85 process.time 0.009s
% 0.42/0.85 wallclock.time 0.009s
% 0.42/0.85 status S
% 0.42/0.85
% 0.42/0.85
% 0.42/0.85 Waldmeister states: Goal proved.
% 0.42/0.85 % SZS status Unsatisfiable
%------------------------------------------------------------------------------