TSTP Solution File: GRP580-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 0.58s 1.00s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.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 20:33:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.58/0.99
% 0.58/0.99 Detected structure: Orkus
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/1.00 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.58/1.00 goal joined
% 0.58/1.00 % SZS status Unsatisfiable
% 0.58/1.00 #START OF PROOF
% 0.58/1.00 % SZS output start CNFRefutation
% 0.58/1.00 cnf('0.1.0.0',axiom,
% 0.58/1.00 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X1),double_divide(X3,identity))),double_divide(identity,identity)) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_29775_n023')).
% 0.58/1.00 cnf('0.1.1.0',plain,
% 0.58/1.00 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X1),double_divide(X3,identity))),double_divide(identity,identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.1.2.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_1]).
% 0.58/1.00 cnf('0.2.0.0',axiom,
% 0.58/1.00 ( double_divide(X1,identity) = inverse(X1) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_29775_n023')).
% 0.58/1.00 cnf('0.2.1.0',plain,
% 0.58/1.00 ( double_divide(X1,identity) = inverse(X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.2.2.0',plain,
% 0.58/1.00 ( double_divide(X1,identity) = inverse(X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_2]).
% 0.58/1.00 cnf('0.3.0.0',axiom,
% 0.58/1.00 ( double_divide(X1,inverse(X1)) = identity ),
% 0.58/1.00 file('/tmp/WALDMEISTER_29775_n023')).
% 0.58/1.00 cnf('0.3.1.0',plain,
% 0.58/1.00 ( double_divide(X1,inverse(X1)) = identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.3.2.0',plain,
% 0.58/1.00 ( double_divide(X1,inverse(X1)) = identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_3]).
% 0.58/1.00 cnf('0.4.0.0',axiom,
% 0.58/1.00 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_29775_n023')).
% 0.58/1.00 cnf('0.4.1.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/1.00 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/1.00 cnf('0.4.1.1',plain,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.4.2.0',plain,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.58/1.00 [u,rule_4]).
% 0.58/1.00 cnf('0.5.0.0',plain,
% 0.58/1.00 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.5.1.0',plain,
% 0.58/1.00 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/1.00 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.5.2.0',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_5]).
% 0.58/1.00 cnf('0.6.0.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.6.1.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.00 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.6.2.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_6]).
% 0.58/1.00 cnf('0.7.0.0',plain,
% 0.58/1.00 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.7.1.0',plain,
% 0.58/1.00 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/1.00 [weight('<44,5,5,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.7.2.0',plain,
% 0.58/1.00 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_7]).
% 0.58/1.00 cnf('0.9.0.0',plain,
% 0.58/1.00 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.9.1.0',plain,
% 0.58/1.00 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/1.00 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.9.2.0',plain,
% 0.58/1.00 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_9]).
% 0.58/1.00 cnf('0.19.0.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3 ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/1.00 cnf('0.19.0.1',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),double_divide(identity,identity)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2.2','L')]).
% 0.58/1.00 cnf('0.19.0.2',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.19.1.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.19.0.2']),
% 0.58/1.00 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.19.2.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_19]).
% 0.58/1.00 cnf('0.20.0.0',plain,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2.1','L')]).
% 0.58/1.00 cnf('0.20.0.1',plain,
% 0.58/1.00 ( multiply(X2,X1) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.20.1.0',plain,
% 0.58/1.00 ( multiply(X2,X1) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.58/1.00 [weight('<129,19,3,[1,0,0,4]>')]).
% 0.58/1.00 cnf('0.20.2.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) = multiply(X1,X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_20]).
% 0.58/1.00 cnf('0.21.0.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(double_divide(X1,identity),inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2','L')]).
% 0.58/1.00 cnf('0.21.0.1',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(inverse(X1),inverse(identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.1','L')]).
% 0.58/1.00 cnf('0.21.1.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(inverse(X1),inverse(identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.58/1.00 [weight('<53,20,3,[1,0,0,3]>')]).
% 0.58/1.00 cnf('0.21.2.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),inverse(identity)) = multiply(X1,identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_21]).
% 0.58/1.00 cnf('0.22.0.0',plain,
% 0.58/1.00 ( multiply(inverse(identity),inverse(X1)) = inverse(multiply(X1,identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.4.2.0','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.22.1.0',plain,
% 0.58/1.00 ( multiply(inverse(identity),inverse(X1)) = inverse(multiply(X1,identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.58/1.00 [weight('<59,21,4,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.22.2.0',plain,
% 0.58/1.00 ( multiply(inverse(identity),inverse(X1)) = inverse(multiply(X1,identity)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_22]).
% 0.58/1.00 cnf('0.29.0.0',plain,
% 0.58/1.00 ( identity = double_divide(double_divide(X1,double_divide(inverse(double_divide(X2,X1)),inverse(X2))),inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.19.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2.1','L')]).
% 0.58/1.00 cnf('0.29.0.1',plain,
% 0.58/1.00 ( identity = double_divide(double_divide(X1,double_divide(multiply(X1,X2),inverse(X2))),inverse(identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.29.0.0','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.1.2.1','L')]).
% 0.58/1.00 cnf('0.29.1.0',plain,
% 0.58/1.00 ( identity = double_divide(double_divide(X1,double_divide(multiply(X1,X2),inverse(X2))),inverse(identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.58/1.00 [weight('<155,19,2,[1,0,0,4]>')]).
% 0.58/1.00 cnf('0.29.2.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(multiply(X1,X2),inverse(X2))),inverse(identity)) = identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_29]).
% 0.58/1.00 cnf('0.30.0.0',plain,
% 0.58/1.00 ( inverse(identity) = double_divide(double_divide(double_divide(multiply(X1,X2),inverse(X2)),double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.19.2.0','0.29.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2.1','L')]).
% 0.58/1.00 cnf('0.30.0.1',plain,
% 0.58/1.00 ( inverse(identity) = multiply(double_divide(multiply(X1,X2),inverse(X2)),X1) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.30.0.0','0.20.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.30.1.0',plain,
% 0.58/1.00 ( inverse(identity) = multiply(double_divide(multiply(X1,X2),inverse(X2)),X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.58/1.00 [weight('<98,29,19,[0,0,0,4]>')]).
% 0.58/1.00 cnf('0.30.2.0',plain,
% 0.58/1.00 ( multiply(double_divide(multiply(X1,X2),inverse(X2)),X1) = inverse(identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_30]).
% 0.58/1.00 cnf('0.32.0.0',plain,
% 0.58/1.00 ( inverse(identity) = multiply(double_divide(inverse(identity),inverse(X1)),inverse(X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.30.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.1','L')]).
% 0.58/1.00 cnf('0.32.1.0',plain,
% 0.58/1.00 ( inverse(identity) = multiply(double_divide(inverse(identity),inverse(X1)),inverse(X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.58/1.00 [weight('<98,30,6,[1,0,0,2]>')]).
% 0.58/1.00 cnf('0.32.2.0',plain,
% 0.58/1.00 ( multiply(double_divide(inverse(identity),inverse(X1)),inverse(X1)) = inverse(identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_32]).
% 0.58/1.00 cnf('0.33.0.0',plain,
% 0.58/1.00 ( inverse(identity) = multiply(identity,inverse(inverse(identity))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.32.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.33.0.1',plain,
% 0.58/1.00 ( inverse(identity) = multiply(identity,multiply(identity,identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.33.0.0','0.5.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.2','L')]).
% 0.58/1.00 cnf('0.33.1.0',plain,
% 0.58/1.00 ( inverse(identity) = multiply(identity,multiply(identity,identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.58/1.00 [weight('<47,32,3,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.33.2.0',plain,
% 0.58/1.00 ( multiply(identity,multiply(identity,identity)) = inverse(identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_33]).
% 0.58/1.00 cnf('0.39.0.0',plain,
% 0.58/1.00 ( double_divide(multiply(double_divide(identity,X1),X2),inverse(X2)) = double_divide(double_divide(X1,identity),inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.19.2.0','0.29.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2','L')]).
% 0.58/1.00 cnf('0.39.0.1',plain,
% 0.58/1.00 ( double_divide(multiply(double_divide(identity,X1),X2),inverse(X2)) = double_divide(inverse(X1),inverse(identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.39.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.1','L')]).
% 0.58/1.00 cnf('0.39.0.2',plain,
% 0.58/1.00 ( double_divide(multiply(double_divide(identity,X1),X2),inverse(X2)) = multiply(X1,identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.39.0.1','0.21.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.39.1.0',plain,
% 0.58/1.00 ( double_divide(multiply(double_divide(identity,X1),X2),inverse(X2)) = multiply(X1,identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.39.0.2']),
% 0.58/1.00 [weight('<107,29,19,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.39.2.0',plain,
% 0.58/1.00 ( double_divide(multiply(double_divide(identity,X1),X2),inverse(X2)) = multiply(X1,identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_39]).
% 0.58/1.00 cnf('0.40.0.0',plain,
% 0.58/1.00 ( multiply(inverse(identity),identity) = double_divide(multiply(identity,X1),inverse(X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.39.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.1','L')]).
% 0.58/1.00 cnf('0.40.0.1',plain,
% 0.58/1.00 ( inverse(identity) = double_divide(multiply(identity,X1),inverse(X1)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.40.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.40.1.0',plain,
% 0.58/1.00 ( inverse(identity) = double_divide(multiply(identity,X1),inverse(X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.58/1.00 [weight('<62,39,3,[1,0,0,2]>')]).
% 0.58/1.00 cnf('0.40.2.0',plain,
% 0.58/1.00 ( double_divide(multiply(identity,X1),inverse(X1)) = inverse(identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_40]).
% 0.58/1.00 cnf('0.41.0.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),multiply(identity,X1)) = inverse(inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.4.2.0','0.40.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.41.0.1',plain,
% 0.58/1.00 ( multiply(inverse(X1),multiply(identity,X1)) = multiply(identity,identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.41.0.0','0.5.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.41.1.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),multiply(identity,X1)) = multiply(identity,identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.58/1.00 [weight('<69,40,4,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.41.2.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),multiply(identity,X1)) = multiply(identity,identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_41]).
% 0.58/1.00 cnf('0.43.0.0',plain,
% 0.58/1.00 ( multiply(identity,identity) = double_divide(multiply(inverse(identity),X1),inverse(X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.39.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.1','L')]).
% 0.58/1.00 cnf('0.43.1.0',plain,
% 0.58/1.00 ( multiply(identity,identity) = double_divide(multiply(inverse(identity),X1),inverse(X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.58/1.00 [weight('<87,39,2,[1,0,0,2]>')]).
% 0.58/1.00 cnf('0.43.2.0',plain,
% 0.58/1.00 ( double_divide(multiply(inverse(identity),X1),inverse(X1)) = multiply(identity,identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_43]).
% 0.58/1.00 cnf('0.44.0.0',plain,
% 0.58/1.00 ( multiply(identity,identity) = double_divide(multiply(identity,identity),inverse(multiply(identity,identity))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.43.2.0','0.41.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.44.0.1',plain,
% 0.58/1.00 ( multiply(identity,identity) = identity ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.44.0.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.44.1.0',plain,
% 0.58/1.00 ( multiply(identity,identity) = identity ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.58/1.00 [weight('<19,43,41,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.44.2.0',plain,
% 0.58/1.00 ( multiply(identity,identity) = identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_44]).
% 0.58/1.00 cnf('0.45.0.0',plain,
% 0.58/1.00 ( multiply(identity,multiply(identity,identity)) = inverse(identity) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 0.58/1.00 cnf('0.45.0.1',plain,
% 0.58/1.00 ( multiply(identity,identity) = inverse(identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.45.0.0','0.44.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.45.0.2',plain,
% 0.58/1.00 ( identity = inverse(identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.45.0.1','0.44.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.45.1.0',plain,
% 0.58/1.00 ( identity = inverse(identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.45.0.2']),
% 0.58/1.00 [weight('<11,33,44,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.45.2.0',plain,
% 0.58/1.00 ( inverse(identity) = identity ),
% 0.58/1.00 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_45]).
% 0.58/1.00 cnf('0.47.0.0',plain,
% 0.58/1.00 ( multiply(inverse(identity),inverse(X1)) = inverse(multiply(X1,identity)) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.22.2.0'])).
% 0.58/1.00 cnf('0.47.0.1',plain,
% 0.58/1.00 ( multiply(identity,inverse(X1)) = inverse(multiply(X1,identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.47.0.0','0.45.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.47.1.0',plain,
% 0.58/1.00 ( multiply(identity,inverse(X1)) = inverse(multiply(X1,identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.58/1.00 [weight('<44,22,45,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.47.2.0',plain,
% 0.58/1.00 ( inverse(multiply(X1,identity)) = multiply(identity,inverse(X1)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_47]).
% 0.58/1.00 cnf('0.48.0.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),inverse(identity)) = multiply(X1,identity) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.58/1.00 cnf('0.48.0.1',plain,
% 0.58/1.00 ( double_divide(inverse(X1),identity) = multiply(X1,identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.48.0.0','0.45.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.48.0.2',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.48.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.48.0.3',plain,
% 0.58/1.00 ( multiply(identity,X1) = multiply(X1,identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.48.0.2','0.5.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.48.1.0',plain,
% 0.58/1.00 ( multiply(identity,X1) = multiply(X1,identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.48.0.3']),
% 0.58/1.00 [weight('<48,21,45,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.48.2.0',plain,
% 0.58/1.00 ( multiply(identity,X1) = multiply(X1,identity) ),
% 0.58/1.00 inference(activate,[status(thm)],['0.48.1.0']),
% 0.58/1.00 [equation_1]).
% 0.58/1.00 cnf('0.49.0.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(multiply(identity,double_divide(identity,X1)),inverse(identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.39.2.0','0.48.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','R')]).
% 0.58/1.00 cnf('0.49.0.1',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(inverse(multiply(X1,identity)),inverse(identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.49.0.0','0.9.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.1','L')]).
% 0.58/1.00 cnf('0.49.0.2',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(multiply(identity,inverse(X1)),inverse(identity)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.49.0.1','0.47.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.1','L')]).
% 0.58/1.00 cnf('0.49.0.3',plain,
% 0.58/1.00 ( multiply(X1,identity) = double_divide(multiply(identity,inverse(X1)),identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.49.0.2','0.45.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.2','L')]).
% 0.58/1.00 cnf('0.49.0.4',plain,
% 0.58/1.00 ( multiply(X1,identity) = inverse(multiply(identity,inverse(X1))) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.49.0.3','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.49.0.5',plain,
% 0.58/1.00 ( multiply(X1,identity) = multiply(identity,inverse(inverse(X1))) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.49.0.4','0.7.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.49.0.6',plain,
% 0.58/1.00 ( multiply(X1,identity) = multiply(identity,multiply(identity,X1)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.49.0.5','0.5.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.2','L')]).
% 0.58/1.00 cnf('0.49.1.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = multiply(identity,multiply(identity,X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.49.0.6']),
% 0.58/1.00 [weight('<53,48,39,[0,1,0,1]>')]).
% 0.58/1.00 cnf('0.49.2.0',plain,
% 0.58/1.00 ( multiply(identity,multiply(identity,X1)) = multiply(X1,identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_48]).
% 0.58/1.00 cnf('0.50.0.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = multiply(identity,multiply(X1,identity)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.49.2.0','0.48.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.50.1.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = multiply(identity,multiply(X1,identity)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.58/1.00 [weight('<53,49,48,[1,0,0,2]>')]).
% 0.58/1.00 cnf('0.50.2.0',plain,
% 0.58/1.00 ( multiply(identity,multiply(X1,identity)) = multiply(X1,identity) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_49]).
% 0.58/1.00 cnf('0.54.0.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3 ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/1.00 cnf('0.54.0.1',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),double_divide(identity,identity)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2.2','L')]).
% 0.58/1.00 cnf('0.54.0.2',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.54.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.54.1.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.54.0.2']),
% 0.58/1.00 [weight('<?,1,2,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.54.1.1',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2))),identity) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.54.1.0','0.45.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.54.1.2',plain,
% 0.58/1.00 ( inverse(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2)))) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.54.1.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.54.1.3',plain,
% 0.58/1.00 ( multiply(double_divide(double_divide(double_divide(X2,X1),X3),inverse(X2)),X1) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.54.1.2','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.54.2.0',plain,
% 0.58/1.00 ( multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X1)),X2) = X3 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.54.1.3',theory(equality)]),
% 0.58/1.00 [u,rule_53]).
% 0.58/1.00 cnf('0.55.0.0',plain,
% 0.58/1.00 ( multiply(double_divide(double_divide(double_divide(X1,identity),X2),inverse(X1)),identity) = multiply(identity,X2) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.50.2.0','0.54.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.55.0.1',plain,
% 0.58/1.00 ( X2 = multiply(identity,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.55.0.0','0.54.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.55.1.0',plain,
% 0.58/1.00 ( X2 = multiply(identity,X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.58/1.00 [weight('<19,54,50,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.55.2.0',plain,
% 0.58/1.00 ( multiply(identity,X1) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_54]).
% 0.58/1.00 cnf('0.56.0.0',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.58/1.00 cnf('0.56.0.1',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.56.0.0','0.55.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.56.1.0',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.58/1.00 [weight('<19,5,55,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.56.2.0',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_55]).
% 0.58/1.00 cnf('0.57.0.0',plain,
% 0.58/1.00 ( multiply(identity,X1) = multiply(X1,identity) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 0.58/1.00 cnf('0.57.0.1',plain,
% 0.58/1.00 ( X1 = multiply(X1,identity) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.57.0.0','0.55.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.57.1.0',plain,
% 0.58/1.00 ( X1 = multiply(X1,identity) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.57.0.1']),
% 0.58/1.00 [weight('<19,48,55,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.57.2.0',plain,
% 0.58/1.00 ( multiply(X1,identity) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_56]).
% 0.58/1.00 cnf('0.60.0.0',plain,
% 0.58/1.00 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.58/1.00 cnf('0.60.0.1',plain,
% 0.58/1.00 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.60.0.0','0.55.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.60.1.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.58/1.00 [weight('<39,9,55,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.60.2.0',plain,
% 0.58/1.00 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_59]).
% 0.58/1.00 cnf('0.61.0.0',plain,
% 0.58/1.00 ( double_divide(identity,X1) = inverse(X1) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.60.2.0','0.57.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.61.1.0',plain,
% 0.58/1.00 ( double_divide(identity,X1) = inverse(X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.58/1.00 [weight('<23,60,57,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.61.2.0',plain,
% 0.58/1.00 ( double_divide(identity,X1) = inverse(X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_60]).
% 0.58/1.00 cnf('0.66.0.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) = multiply(X1,X2) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.58/1.00 cnf('0.66.0.1',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,double_divide(identity,inverse(X2))),identity) = multiply(X1,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.66.0.0','0.45.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.66.0.2',plain,
% 0.58/1.00 ( inverse(double_divide(X1,double_divide(identity,inverse(X2)))) = multiply(X1,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.66.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.66.0.3',plain,
% 0.58/1.00 ( multiply(double_divide(identity,inverse(X2)),X1) = multiply(X1,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.66.0.2','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.66.1.0',plain,
% 0.58/1.00 ( multiply(double_divide(identity,inverse(X2)),X1) = multiply(X1,X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.66.0.3']),
% 0.58/1.00 [weight('<69,20,45,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.66.1.1',plain,
% 0.58/1.00 ( multiply(inverse(inverse(X2)),X1) = multiply(X1,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.66.1.0','0.61.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.66.1.2',plain,
% 0.58/1.00 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.66.1.1','0.56.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.66.2.0',plain,
% 0.58/1.00 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/1.00 inference(activate,[status(thm)],['0.66.1.2']),
% 0.58/1.00 [equation_2]).
% 0.58/1.00 cnf('1.0.0.0',conjecture,
% 0.58/1.00 ( multiply(a,b) = multiply(b,a) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_29775_n023',conjecture_1)).
% 0.58/1.00 cnf('1.0.0.1',plain,
% 0.58/1.00 ( multiply(b,a) = multiply(b,a) ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.66.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.2',plain,
% 0.58/1.00 ( $true ),
% 0.58/1.00 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/1.00 [conjecture_1]).
% 0.58/1.00
% 0.58/1.00 Proved Goals:
% 0.58/1.00 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.58/1.00 1 goal was specified, which was proved.
% 0.58/1.00 % SZS output end CNFRefutation
% 0.58/1.00 #END OF PROOF
% 0.58/1.00
% 0.58/1.00 Problem WALDMEISTER_29775_n023
% 0.58/1.00 CPs.gen 666
% 0.58/1.00 CPs.reexp 0
% 0.58/1.00 Select 122
% 0.58/1.00 R 64
% 0.58/1.00 E 2
% 0.58/1.00 vsize 6.5M
% 0.58/1.00 rss 3.8M
% 0.58/1.00 process.time 0.006s
% 0.58/1.00 wallclock.time 0.006s
% 0.58/1.00 status S
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 Waldmeister states: Goal proved.
% 0.58/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------