TSTP Solution File: GRP002-3 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 12:24:00 EDT 2022
% Result : Unsatisfiable 0.63s 1.04s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : woody %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 00:17:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.63/1.02 ********************************************************************************
% 0.63/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.02 * |/ | \/ | *
% 0.63/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.02 * A. Jaeger and B. Loechner | | *
% 0.63/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.02 ********************************************************************************
% 0.63/1.02
% 0.63/1.02
% 0.63/1.02 Goals:
% 0.63/1.02 ------
% 0.63/1.02
% 0.63/1.02 ( 1) identity ?=? commutator(commutator(a,b),b)
% 0.63/1.02
% 0.63/1.02 Detected structure: Gruppe
% 0.63/1.02 ********************************************************************************
% 0.63/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.02 ********************************************************************************
% 0.63/1.02
% 0.63/1.04 joined goal: 1 identity ?= commutator(commutator(a,b),b) to identity
% 0.63/1.04 goal joined
% 0.63/1.04 % SZS status Unsatisfiable
% 0.63/1.04 #START OF PROOF
% 0.63/1.04 % SZS output start CNFRefutation
% 0.63/1.04 cnf('0.1.0.0',axiom,
% 0.63/1.04 ( X1 = multiply(identity,X1) ),
% 0.63/1.04 file('/tmp/WALDMEISTER_32381_n017')).
% 0.63/1.04 cnf('0.1.1.0',plain,
% 0.63/1.04 ( X1 = multiply(identity,X1) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.04 cnf('0.1.2.0',plain,
% 0.63/1.04 ( multiply(identity,X1) = X1 ),
% 0.63/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_1]).
% 0.63/1.04 cnf('0.2.0.0',axiom,
% 0.63/1.04 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.63/1.04 file('/tmp/WALDMEISTER_32381_n017')).
% 0.63/1.04 cnf('0.2.1.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.04 cnf('0.2.2.0',plain,
% 0.63/1.04 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_2]).
% 0.63/1.04 cnf('0.3.0.0',axiom,
% 0.63/1.04 ( multiply(X1,multiply(X2,multiply(inverse(X1),inverse(X2)))) = commutator(X1,X2) ),
% 0.63/1.04 file('/tmp/WALDMEISTER_32381_n017')).
% 0.63/1.04 cnf('0.3.1.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,multiply(inverse(X1),inverse(X2)))) = commutator(X1,X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.3.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,multiply(inverse(X1),inverse(X2)))) = commutator(X1,X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_3]).
% 0.63/1.04 cnf('0.4.0.0',axiom,
% 0.63/1.04 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.63/1.04 file('/tmp/WALDMEISTER_32381_n017')).
% 0.63/1.04 cnf('0.4.1.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.04 cnf('0.4.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.63/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_4]).
% 0.63/1.04 cnf('0.5.0.0',axiom,
% 0.63/1.04 ( multiply(inverse(X1),X1) = identity ),
% 0.63/1.04 file('/tmp/WALDMEISTER_32381_n017')).
% 0.63/1.04 cnf('0.5.1.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),X1) = identity ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.04 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.04 cnf('0.5.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),X1) = identity ),
% 0.63/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_5]).
% 0.63/1.04 cnf('0.6.0.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.6.0.1',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.6.1.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.63/1.04 [weight('<6,5,2,[0,0,0,1]>')]).
% 0.63/1.04 cnf('0.6.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.63/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_6]).
% 0.63/1.04 cnf('0.7.0.0',plain,
% 0.63/1.04 ( multiply(X1,X2) = multiply(inverse(inverse(X1)),X2) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.7.1.0',plain,
% 0.63/1.04 ( X1 = inverse(inverse(X1)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.04 [weight('<3,6,6,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.7.2.0',plain,
% 0.63/1.04 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.04 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_7]).
% 0.63/1.04 cnf('0.12.0.0',plain,
% 0.63/1.04 ( identity = multiply(X1,inverse(X1)) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.5.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.12.1.0',plain,
% 0.63/1.04 ( identity = multiply(X1,inverse(X1)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.63/1.04 [weight('<4,7,5,[0,0,0,1]>')]).
% 0.63/1.04 cnf('0.12.2.0',plain,
% 0.63/1.04 ( multiply(X1,inverse(X1)) = identity ),
% 0.63/1.04 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_12]).
% 0.63/1.04 cnf('0.15.0.0',plain,
% 0.63/1.04 ( inverse(X1) = multiply(inverse(X1),identity) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.15.1.0',plain,
% 0.63/1.04 ( inverse(X1) = multiply(inverse(X1),identity) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.63/1.04 [weight('<4,12,6,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.15.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_15]).
% 0.63/1.04 cnf('0.16.0.0',plain,
% 0.63/1.04 ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.15.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.16.0.1',plain,
% 0.63/1.04 ( X1 = multiply(X1,identity) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.16.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.16.1.0',plain,
% 0.63/1.04 ( X1 = multiply(X1,identity) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.63/1.04 [weight('<3,15,7,[1,0,0,1]>')]).
% 0.63/1.04 cnf('0.16.2.0',plain,
% 0.63/1.04 ( multiply(X1,identity) = X1 ),
% 0.63/1.04 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_16]).
% 0.63/1.04 cnf('0.18.0.0',plain,
% 0.63/1.04 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.18.1.0',plain,
% 0.63/1.04 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.63/1.04 [weight('<6,7,6,[0,0,0,1]>')]).
% 0.63/1.04 cnf('0.18.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.63/1.04 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_18]).
% 0.63/1.04 cnf('0.19.0.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),inverse(X1)) = multiply(X1,identity) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.18.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.19.0.1',plain,
% 0.63/1.04 ( multiply(inverse(X1),inverse(X1)) = X1 ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.19.0.0','0.16.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.19.1.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),inverse(X1)) = X1 ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.63/1.04 [weight('<5,18,4,[1,0,0,2]>')]).
% 0.63/1.04 cnf('0.19.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),inverse(X1)) = X1 ),
% 0.63/1.04 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_19]).
% 0.63/1.04 cnf('0.20.0.0',plain,
% 0.63/1.04 ( inverse(X1) = multiply(inverse(inverse(X1)),X1) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.6.2.0','0.19.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.20.0.1',plain,
% 0.63/1.04 ( inverse(X1) = multiply(X1,X1) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.20.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.1','L')]).
% 0.63/1.04 cnf('0.20.1.0',plain,
% 0.63/1.04 ( inverse(X1) = multiply(X1,X1) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.63/1.04 [weight('<3,19,6,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.20.2.0',plain,
% 0.63/1.04 ( multiply(X1,X1) = inverse(X1) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_20]).
% 0.63/1.04 cnf('0.21.0.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.2.2.0','0.20.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.21.1.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.63/1.04 [weight('<5,20,2,[0,0,0,1]>')]).
% 0.63/1.04 cnf('0.21.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X1,X2)) = multiply(inverse(X1),X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_21]).
% 0.63/1.04 cnf('0.23.0.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,X2)) = multiply(X1,multiply(X2,multiply(X1,X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.20.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.23.1.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,X2)) = multiply(X1,multiply(X2,multiply(X1,X2))) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.63/1.04 [weight('<7,20,2,[1,0,0,0]>')]).
% 0.63/1.04 cnf('0.23.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,multiply(X1,X2))) = inverse(multiply(X1,X2)) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_23]).
% 0.63/1.04 cnf('0.24.0.0',plain,
% 0.63/1.04 ( identity = multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.12.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.24.1.0',plain,
% 0.63/1.04 ( identity = multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.63/1.04 [weight('<8,12,2,[1,0,0,0]>')]).
% 0.63/1.04 cnf('0.24.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity ),
% 0.63/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_24]).
% 0.63/1.04 cnf('0.25.0.0',plain,
% 0.63/1.04 ( multiply(X1,inverse(multiply(X2,X1))) = multiply(inverse(X2),identity) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.6.2.0','0.24.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.25.0.1',plain,
% 0.63/1.04 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.25.0.0','0.16.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.25.1.0',plain,
% 0.63/1.04 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.63/1.04 [weight('<6,24,6,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.25.2.0',plain,
% 0.63/1.04 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_25]).
% 0.63/1.04 cnf('0.26.0.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.6.2.0','0.25.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.26.1.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.63/1.04 [weight('<5,25,6,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.26.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_26]).
% 0.63/1.04 cnf('0.27.0.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.27.1.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.63/1.04 [weight('<5,25,18,[0,0,0,2]>')]).
% 0.63/1.04 cnf('0.27.2.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_27]).
% 0.63/1.04 cnf('0.28.0.0',plain,
% 0.63/1.04 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.26.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.28.1.0',plain,
% 0.63/1.04 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.63/1.04 [weight('<5,26,7,[1,0,0,3]>')]).
% 0.63/1.04 cnf('0.28.2.0',plain,
% 0.63/1.04 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_28]).
% 0.63/1.04 cnf('0.29.0.0',plain,
% 0.63/1.04 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),inverse(inverse(X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.25.2.0','0.25.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2.1','L')]).
% 0.63/1.04 cnf('0.29.0.1',plain,
% 0.63/1.04 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.29.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2','L')]).
% 0.63/1.04 cnf('0.29.1.0',plain,
% 0.63/1.04 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.63/1.04 [weight('<6,25,25,[0,0,0,3]>')]).
% 0.63/1.04 cnf('0.29.2.0',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_29]).
% 0.63/1.04 cnf('0.30.0.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(X2,X1)),X3) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.2.2.0','0.26.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.30.1.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(X2,X1)),X3) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.63/1.04 [weight('<7,26,2,[0,0,0,1]>')]).
% 0.63/1.04 cnf('0.30.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(X2,X1)),X3) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_30]).
% 0.63/1.04 cnf('0.31.0.0',plain,
% 0.63/1.04 ( multiply(X1,inverse(multiply(X2,X3))) = inverse(multiply(X2,multiply(X3,inverse(X1)))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.27.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.31.1.0',plain,
% 0.63/1.04 ( multiply(X1,inverse(multiply(X2,X3))) = inverse(multiply(X2,multiply(X3,inverse(X1)))) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.63/1.04 [weight('<7,27,2,[1,0,0,1]>')]).
% 0.63/1.04 cnf('0.31.2.0',plain,
% 0.63/1.04 ( inverse(multiply(X1,multiply(X2,inverse(X3)))) = multiply(X3,inverse(multiply(X1,X2))) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_31]).
% 0.63/1.04 cnf('0.33.0.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,multiply(inverse(X1),inverse(X2)))) = commutator(X1,X2) ),
% 0.63/1.04 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.63/1.04 cnf('0.33.0.1',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(X1,X2) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.33.0.0','0.26.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2.2','L')]).
% 0.63/1.04 cnf('0.33.1.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(X1,X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.63/1.04 [weight('<8,3,26,[0,0,0,0]>')]).
% 0.63/1.04 cnf('0.33.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(X1,X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_33]).
% 0.63/1.04 cnf('0.35.0.0',plain,
% 0.63/1.04 ( commutator(multiply(X1,X2),inverse(X1)) = multiply(multiply(X1,X2),multiply(inverse(X1),inverse(X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.33.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2.2.1','L')]).
% 0.63/1.04 cnf('0.35.0.1',plain,
% 0.63/1.04 ( commutator(multiply(X1,X2),inverse(X1)) = multiply(X1,multiply(X2,multiply(inverse(X1),inverse(X2)))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.35.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.35.0.2',plain,
% 0.63/1.04 ( commutator(multiply(X1,X2),inverse(X1)) = multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.35.0.1','0.26.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.2','L')]).
% 0.63/1.04 cnf('0.35.0.3',plain,
% 0.63/1.04 ( commutator(multiply(X1,X2),inverse(X1)) = commutator(X1,X2) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.35.0.2','0.33.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.35.1.0',plain,
% 0.63/1.04 ( commutator(multiply(X1,X2),inverse(X1)) = commutator(X1,X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.35.0.3']),
% 0.63/1.04 [weight('<6,33,6,[1,0,0,5]>')]).
% 0.63/1.04 cnf('0.35.2.0',plain,
% 0.63/1.04 ( commutator(multiply(X1,X2),inverse(X1)) = commutator(X1,X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_35]).
% 0.63/1.04 cnf('0.38.0.0',plain,
% 0.63/1.04 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(X2,inverse(inverse(X1))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.35.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.38.0.1',plain,
% 0.63/1.04 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(X2,X1) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.38.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2','L')]).
% 0.63/1.04 cnf('0.38.1.0',plain,
% 0.63/1.04 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(X2,X1) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.63/1.04 [weight('<6,35,6,[1,0,0,1]>')]).
% 0.63/1.04 cnf('0.38.2.0',plain,
% 0.63/1.04 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(X2,X1) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_38]).
% 0.63/1.04 cnf('0.50.0.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X2,multiply(X1,X2))) = multiply(X1,inverse(multiply(X1,X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.21.2.0','0.23.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.50.1.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X2,multiply(X1,X2))) = multiply(X1,inverse(multiply(X1,X2))) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.63/1.04 [weight('<8,23,21,[0,0,0,2]>')]).
% 0.63/1.04 cnf('0.50.2.0',plain,
% 0.63/1.04 ( multiply(inverse(X1),multiply(X2,multiply(X1,X2))) = multiply(X1,inverse(multiply(X1,X2))) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_50]).
% 0.63/1.04 cnf('0.70.0.0',plain,
% 0.63/1.04 ( commutator(X1,inverse(X2)) = multiply(X1,inverse(multiply(multiply(inverse(X2),X1),X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.33.2.0','0.26.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.70.0.1',plain,
% 0.63/1.04 ( commutator(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(X2),multiply(X1,X2)))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.70.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.1','L')]).
% 0.63/1.04 cnf('0.70.0.2',plain,
% 0.63/1.04 ( commutator(X1,inverse(X2)) = multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.70.0.1','0.28.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2','L')]).
% 0.63/1.04 cnf('0.70.1.0',plain,
% 0.63/1.04 ( commutator(X1,inverse(X2)) = multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.70.0.2']),
% 0.63/1.04 [weight('<8,33,26,[1,0,0,2]>')]).
% 0.63/1.04 cnf('0.70.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) = commutator(X1,inverse(X2)) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_70]).
% 0.63/1.04 cnf('0.73.0.0',plain,
% 0.63/1.04 ( commutator(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(commutator(X1,X2),inverse(X1)) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.35.2.0','0.33.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.73.1.0',plain,
% 0.63/1.04 ( commutator(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(commutator(X1,X2),inverse(X1)) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.63/1.04 [weight('<8,35,33,[1,0,0,1]>')]).
% 0.63/1.04 cnf('0.73.2.0',plain,
% 0.63/1.04 ( commutator(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(commutator(X1,X2),inverse(X1)) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_73]).
% 0.63/1.04 cnf('0.83.0.0',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(multiply(X1,X2)),X1))) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.50.2.0','0.29.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2.2','L')]).
% 0.63/1.04 cnf('0.83.0.1',plain,
% 0.63/1.04 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),X1),multiply(X1,X2))) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.0','0.26.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.83.0.2',plain,
% 0.63/1.04 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X1,X2)))) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.83.0.3',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,multiply(X1,X2))),multiply(X1,X2)) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.2','0.28.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.83.0.4',plain,
% 0.63/1.04 ( multiply(inverse(multiply(inverse(X1),X2)),multiply(X1,X2)) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.3','0.21.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1.1','L')]).
% 0.63/1.04 cnf('0.83.0.5',plain,
% 0.63/1.04 ( multiply(multiply(inverse(X2),X1),multiply(X1,X2)) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.4','0.28.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.83.0.6',plain,
% 0.63/1.04 ( multiply(inverse(X2),multiply(X1,multiply(X1,X2))) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.5','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.83.0.7',plain,
% 0.63/1.04 ( multiply(inverse(X2),multiply(inverse(X1),X2)) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.6','0.21.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.83.0.8',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,X2)),X2) = multiply(inverse(inverse(multiply(X1,X2))),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.7','0.30.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.83.0.9',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,X2)),X2) = multiply(multiply(X1,X2),multiply(X1,inverse(X2))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.8','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.1','L')]).
% 0.63/1.04 cnf('0.83.0.10',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,X2)),X2) = multiply(X1,multiply(X2,multiply(X1,inverse(X2)))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.83.0.9','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.83.1.0',plain,
% 0.63/1.04 ( multiply(inverse(multiply(X1,X2)),X2) = multiply(X1,multiply(X2,multiply(X1,inverse(X2)))) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.83.0.10']),
% 0.63/1.04 [weight('<8,50,29,[1,0,0,5]>')]).
% 0.63/1.04 cnf('0.83.2.0',plain,
% 0.63/1.04 ( multiply(X1,multiply(X2,multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X1,X2)),X2) ),
% 0.63/1.04 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_83]).
% 0.63/1.04 cnf('0.84.0.0',plain,
% 0.63/1.04 ( commutator(X1,inverse(multiply(X2,multiply(X1,inverse(X2))))) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X1,X2)),X2)),multiply(X2,multiply(X1,inverse(X2))))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.70.2.0','0.83.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2.1.1','L')]).
% 0.63/1.04 cnf('0.84.0.1',plain,
% 0.63/1.04 ( commutator(X1,multiply(X2,inverse(multiply(X2,X1)))) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X1,X2)),X2)),multiply(X2,multiply(X1,inverse(X2))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.0','0.31.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.2','L')]).
% 0.63/1.04 cnf('0.84.0.2',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X1,X2)),X2)),multiply(X2,multiply(X1,inverse(X2))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.1','0.73.2.0',theory(equality)]),
% 0.63/1.04 [pos('L','L')]).
% 0.63/1.04 cnf('0.84.0.3',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(multiply(inverse(X2),multiply(X1,X2)),multiply(X2,multiply(X1,inverse(X2))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.2','0.28.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.1','L')]).
% 0.63/1.04 cnf('0.84.0.4',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(inverse(X2),multiply(multiply(X1,X2),multiply(X2,multiply(X1,inverse(X2)))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.3','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2','L')]).
% 0.63/1.04 cnf('0.84.0.5',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(inverse(X2),multiply(X1,multiply(X2,multiply(X2,multiply(X1,inverse(X2))))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.4','0.2.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.2','L')]).
% 0.63/1.04 cnf('0.84.0.6',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(inverse(X2),multiply(X1,multiply(inverse(X2),multiply(X1,inverse(X2)))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.5','0.21.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.2.2','L')]).
% 0.63/1.04 cnf('0.84.0.7',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(inverse(X2),inverse(multiply(X1,inverse(X2))))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.6','0.23.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.2','L')]).
% 0.63/1.04 cnf('0.84.0.8',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,multiply(inverse(X2),multiply(X2,inverse(X1)))) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.7','0.27.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2.2','L')]).
% 0.63/1.04 cnf('0.84.0.9',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = multiply(X1,inverse(X1)) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.8','0.6.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2','L')]).
% 0.63/1.04 cnf('0.84.0.10',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = identity ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.84.0.9','0.12.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('0.84.1.0',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = identity ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.84.0.10']),
% 0.63/1.04 [weight('<6,83,70,[0,0,0,4]>')]).
% 0.63/1.04 cnf('0.84.2.0',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),inverse(X1)) = identity ),
% 0.63/1.04 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.63/1.04 [u,rule_84]).
% 0.63/1.04 cnf('0.85.0.0',plain,
% 0.63/1.04 ( identity = commutator(commutator(X1,X2),inverse(inverse(X2))) ),
% 0.63/1.04 inference(cp,[status(thm)],['0.84.2.0','0.38.2.0',theory(equality)]),
% 0.63/1.04 [pos('L.1','L')]).
% 0.63/1.04 cnf('0.85.0.1',plain,
% 0.63/1.04 ( identity = commutator(commutator(X1,X2),X2) ),
% 0.63/1.04 inference(reduction,[status(thm)],['0.85.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.04 [pos('R.2','L')]).
% 0.63/1.04 cnf('0.85.1.0',plain,
% 0.63/1.04 ( identity = commutator(commutator(X1,X2),X2) ),
% 0.63/1.04 inference(weigh,[status(thm)],['0.85.0.1']),
% 0.63/1.04 [weight('<5,84,38,[1,0,0,1]>')]).
% 0.63/1.04 cnf('0.85.2.0',plain,
% 0.63/1.04 ( commutator(commutator(X1,X2),X2) = identity ),
% 0.63/1.04 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.63/1.04 [x,rule_85]).
% 0.63/1.04 cnf('1.0.0.0',conjecture,
% 0.63/1.04 ( identity = commutator(commutator(a,b),b) ),
% 0.63/1.04 file('/tmp/WALDMEISTER_32381_n017',conjecture_1)).
% 0.63/1.04 cnf('1.0.0.1',plain,
% 0.63/1.04 ( identity = identity ),
% 0.63/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.85.2.0',theory(equality)]),
% 0.63/1.04 [pos('R','L')]).
% 0.63/1.04 cnf('1.0.0.2',plain,
% 0.63/1.04 ( $true ),
% 0.63/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.04 [conjecture_1]).
% 0.63/1.04
% 0.63/1.04 Proved Goals:
% 0.63/1.04 No. 1: identity ?= commutator(commutator(a,b),b) joined, current: identity = identity
% 0.63/1.04 1 goal was specified, which was proved.
% 0.63/1.04 % SZS output end CNFRefutation
% 0.63/1.04 #END OF PROOF
% 0.63/1.04
% 0.63/1.04 Problem WALDMEISTER_32381_n017
% 0.63/1.04 CPs.gen 3048
% 0.63/1.04 CPs.reexp 0
% 0.63/1.04 Select 199
% 0.63/1.04 R 85
% 0.63/1.04 E 0
% 0.63/1.04 vsize 6.4M
% 0.63/1.04 rss 3.8M
% 0.63/1.04 process.time 0.019s
% 0.63/1.04 wallclock.time 0.019s
% 0.63/1.04 status S
% 0.63/1.04
% 0.63/1.04
% 0.63/1.04 Waldmeister states: Goal proved.
% 0.63/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------