TSTP Solution File: GRP024-5 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP024-5 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 12:24:12 EDT 2022
% Result : Unsatisfiable 1.44s 1.86s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP024-5 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 22:38:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) multiply(commutator(b,c),a) ?=? multiply(a,commutator(b,c))
% 0.59/0.98
% 0.59/0.98 Detected structure: Gruppe
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 1.44/1.86 joined goal: 1 multiply(commutator(b,c),a) ?= multiply(a,commutator(b,c)) to multiply(a,commutator(b,c))
% 1.44/1.86 goal joined
% 1.44/1.86 % SZS status Unsatisfiable
% 1.44/1.86 #START OF PROOF
% 1.44/1.86 % SZS output start CNFRefutation
% 1.44/1.86 cnf('0.1.0.0',axiom,
% 1.44/1.86 ( X1 = multiply(identity,X1) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_7468_n012')).
% 1.44/1.86 cnf('0.1.1.0',plain,
% 1.44/1.86 ( X1 = multiply(identity,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.44/1.86 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.1.2.0',plain,
% 1.44/1.86 ( multiply(identity,X1) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_1]).
% 1.44/1.86 cnf('0.2.0.0',axiom,
% 1.44/1.86 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_7468_n012')).
% 1.44/1.86 cnf('0.2.1.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.44/1.86 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.2.2.0',plain,
% 1.44/1.86 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_2]).
% 1.44/1.86 cnf('0.3.0.0',axiom,
% 1.44/1.86 ( multiply(inverse(X1),X1) = identity ),
% 1.44/1.86 file('/tmp/WALDMEISTER_7468_n012')).
% 1.44/1.86 cnf('0.3.1.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),X1) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.44/1.86 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.3.2.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),X1) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_3]).
% 1.44/1.86 cnf('0.4.0.0',axiom,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),multiply(X1,X2))) = commutator(X1,X2) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_7468_n012')).
% 1.44/1.86 cnf('0.4.1.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),multiply(X1,X2))) = commutator(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.44/1.86 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.44/1.86 cnf('0.4.2.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),multiply(X1,X2))) = commutator(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_4]).
% 1.44/1.86 cnf('0.5.0.0',axiom,
% 1.44/1.86 ( commutator(X1,commutator(X2,X3)) = commutator(commutator(X1,X2),X3) ),
% 1.44/1.86 file('/tmp/WALDMEISTER_7468_n012')).
% 1.44/1.86 cnf('0.5.1.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,X3)) = commutator(commutator(X1,X2),X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.44/1.86 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.44/1.86 cnf('0.5.2.0',plain,
% 1.44/1.86 ( commutator(commutator(X1,X2),X3) = commutator(X1,commutator(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_5]).
% 1.44/1.86 cnf('0.6.0.0',plain,
% 1.44/1.86 ( commutator(identity,X1) = multiply(inverse(identity),multiply(inverse(X1),X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.6.0.1',plain,
% 1.44/1.86 ( commutator(identity,X1) = multiply(inverse(identity),identity) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.6.0.0','0.3.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.6.0.2',plain,
% 1.44/1.86 ( commutator(identity,X1) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.6.0.1','0.3.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.6.1.0',plain,
% 1.44/1.86 ( commutator(identity,X1) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.6.0.2']),
% 1.44/1.86 [weight('<3,4,1,[1,0,0,6]>')]).
% 1.44/1.86 cnf('0.6.2.0',plain,
% 1.44/1.86 ( commutator(identity,X1) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_6]).
% 1.44/1.86 cnf('0.7.0.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.7.0.1',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.7.1.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.7.0.1']),
% 1.44/1.86 [weight('<6,3,2,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.7.2.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_7]).
% 1.44/1.86 cnf('0.8.0.0',plain,
% 1.44/1.86 ( commutator(X1,X1) = multiply(inverse(X1),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.8.0.1',plain,
% 1.44/1.86 ( commutator(X1,X1) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.8.0.0','0.3.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.8.1.0',plain,
% 1.44/1.86 ( commutator(X1,X1) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.8.0.1']),
% 1.44/1.86 [weight('<3,7,4,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.8.2.0',plain,
% 1.44/1.86 ( commutator(X1,X1) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_8]).
% 1.44/1.86 cnf('0.9.0.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(inverse(inverse(X1)),X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.9.1.0',plain,
% 1.44/1.86 ( X1 = inverse(inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.44/1.86 [weight('<3,7,7,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.9.2.0',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_9]).
% 1.44/1.86 cnf('0.12.0.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),X1) = commutator(inverse(X1),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.12.0.1',plain,
% 1.44/1.86 ( identity = commutator(inverse(X1),X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.12.0.0','0.3.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.12.1.0',plain,
% 1.44/1.86 ( identity = commutator(inverse(X1),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.12.0.1']),
% 1.44/1.86 [weight('<4,7,4,[1,0,0,0]>')]).
% 1.44/1.86 cnf('0.12.2.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),X1) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_12]).
% 1.44/1.86 cnf('0.13.0.0',plain,
% 1.44/1.86 ( identity = multiply(X1,inverse(X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.13.1.0',plain,
% 1.44/1.86 ( identity = multiply(X1,inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.44/1.86 [weight('<4,9,3,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.13.2.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(X1)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_13]).
% 1.44/1.86 cnf('0.14.0.0',plain,
% 1.44/1.86 ( identity = inverse(identity) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.14.1.0',plain,
% 1.44/1.86 ( identity = inverse(identity) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.44/1.86 [weight('<2,13,1,[1,0,0,0]>')]).
% 1.44/1.86 cnf('0.14.2.0',plain,
% 1.44/1.86 ( inverse(identity) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_14]).
% 1.44/1.86 cnf('0.15.0.0',plain,
% 1.44/1.86 ( identity = commutator(X1,inverse(X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.15.1.0',plain,
% 1.44/1.86 ( identity = commutator(X1,inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.44/1.86 [weight('<4,12,9,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.15.2.0',plain,
% 1.44/1.86 ( commutator(X1,inverse(X1)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_15]).
% 1.44/1.86 cnf('0.16.0.0',plain,
% 1.44/1.86 ( inverse(X1) = multiply(inverse(X1),identity) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.16.1.0',plain,
% 1.44/1.86 ( inverse(X1) = multiply(inverse(X1),identity) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.44/1.86 [weight('<4,13,7,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.16.2.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_16]).
% 1.44/1.86 cnf('0.17.0.0',plain,
% 1.44/1.86 ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.16.2.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.17.0.1',plain,
% 1.44/1.86 ( X1 = multiply(X1,identity) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.17.0.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.17.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X1,identity) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.17.0.1']),
% 1.44/1.86 [weight('<3,16,9,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.17.2.0',plain,
% 1.44/1.86 ( multiply(X1,identity) = X1 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_17]).
% 1.44/1.86 cnf('0.18.0.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X1,X2)) = commutator(identity,X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.18.0.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(X1,X2)) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.18.0.0','0.6.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.18.1.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X1,X2)) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.18.0.1']),
% 1.44/1.86 [weight('<5,8,5,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.18.2.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X1,X2)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_18]).
% 1.44/1.86 cnf('0.19.0.0',plain,
% 1.44/1.86 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.19.1.0',plain,
% 1.44/1.86 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.19.0.0']),
% 1.44/1.86 [weight('<6,9,7,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.19.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 1.44/1.86 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_19]).
% 1.44/1.86 cnf('0.20.0.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X1,X2)) = commutator(identity,X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.5.2.0','0.12.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.20.0.1',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X1,X2)) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.20.0.0','0.6.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.20.1.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X1,X2)) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.20.0.1']),
% 1.44/1.86 [weight('<6,12,5,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.20.2.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X1,X2)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_20]).
% 1.44/1.86 cnf('0.21.0.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X1),X2)) = commutator(identity,X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.5.2.0','0.15.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.21.0.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X1),X2)) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.21.0.0','0.6.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.21.1.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X1),X2)) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.21.0.1']),
% 1.44/1.86 [weight('<6,15,5,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.21.2.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X1),X2)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_21]).
% 1.44/1.86 cnf('0.23.0.0',plain,
% 1.44/1.86 ( identity = multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.13.2.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.23.1.0',plain,
% 1.44/1.86 ( identity = multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.44/1.86 [weight('<8,13,2,[1,0,0,0]>')]).
% 1.44/1.86 cnf('0.23.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_23]).
% 1.44/1.86 cnf('0.24.0.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(multiply(X2,X1))) = multiply(inverse(X2),identity) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.23.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.24.0.1',plain,
% 1.44/1.86 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.24.0.0','0.17.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.24.1.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.24.0.1']),
% 1.44/1.86 [weight('<6,23,7,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.24.2.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_24]).
% 1.44/1.86 cnf('0.25.0.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.24.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.25.1.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.44/1.86 [weight('<5,24,7,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.25.2.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_25]).
% 1.44/1.86 cnf('0.26.0.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.19.2.0','0.24.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.26.1.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.26.0.0']),
% 1.44/1.86 [weight('<5,24,19,[0,0,0,2]>')]).
% 1.44/1.86 cnf('0.26.2.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_26]).
% 1.44/1.86 cnf('0.27.0.0',plain,
% 1.44/1.86 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.27.1.0',plain,
% 1.44/1.86 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.44/1.86 [weight('<5,25,9,[1,0,0,3]>')]).
% 1.44/1.86 cnf('0.27.2.0',plain,
% 1.44/1.86 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_27]).
% 1.44/1.86 cnf('0.28.0.0',plain,
% 1.44/1.86 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),inverse(inverse(X2))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.24.2.0','0.24.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.1','L')]).
% 1.44/1.86 cnf('0.28.0.1',plain,
% 1.44/1.86 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.28.0.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.28.1.0',plain,
% 1.44/1.86 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.28.0.1']),
% 1.44/1.86 [weight('<6,24,24,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.28.2.0',plain,
% 1.44/1.86 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_28]).
% 1.44/1.86 cnf('0.29.0.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(X2,X1)),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.2.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.29.1.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(X2,X1)),X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.44/1.86 [weight('<7,25,2,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.29.2.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(X2,X1)),X3) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_29]).
% 1.44/1.86 cnf('0.30.0.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(multiply(X2,X3))) = inverse(multiply(X2,multiply(X3,inverse(X1)))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.26.2.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.30.1.0',plain,
% 1.44/1.86 ( multiply(X1,inverse(multiply(X2,X3))) = inverse(multiply(X2,multiply(X3,inverse(X1)))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.44/1.86 [weight('<7,26,2,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.30.2.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,multiply(X2,inverse(X3)))) = multiply(X3,inverse(multiply(X1,X2))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_30]).
% 1.44/1.86 cnf('0.31.0.0',plain,
% 1.44/1.86 ( inverse(multiply(multiply(X1,inverse(X2)),X3)) = multiply(inverse(X3),multiply(X2,inverse(X1))) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.26.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.31.0.1',plain,
% 1.44/1.86 ( inverse(multiply(X1,multiply(inverse(X2),X3))) = multiply(inverse(X3),multiply(X2,inverse(X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.31.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.31.1.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,multiply(inverse(X2),X3))) = multiply(inverse(X3),multiply(X2,inverse(X1))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.31.0.1']),
% 1.44/1.86 [weight('<7,26,25,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.31.2.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,multiply(inverse(X2),X3))) = multiply(inverse(X3),multiply(X2,inverse(X1))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_31]).
% 1.44/1.86 cnf('0.32.0.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),multiply(inverse(X2),multiply(X1,X2))) = commutator(X1,X2) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 1.44/1.86 cnf('0.32.0.1',plain,
% 1.44/1.86 ( multiply(inverse(multiply(X2,X1)),multiply(X1,X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.32.0.0','0.29.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.32.1.0',plain,
% 1.44/1.86 ( multiply(inverse(multiply(X2,X1)),multiply(X1,X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.32.0.1']),
% 1.44/1.86 [weight('<8,4,29,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.32.2.0',plain,
% 1.44/1.86 ( multiply(inverse(multiply(X1,X2)),multiply(X2,X1)) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_32]).
% 1.44/1.86 cnf('0.33.0.0',plain,
% 1.44/1.86 ( multiply(inverse(multiply(X1,X2)),multiply(X2,X1)) = inverse(commutator(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.27.2.0','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.33.0.1',plain,
% 1.44/1.86 ( commutator(X2,X1) = inverse(commutator(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.33.1.0',plain,
% 1.44/1.86 ( commutator(X2,X1) = inverse(commutator(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.33.0.1']),
% 1.44/1.86 [weight('<4,32,27,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.33.2.0',plain,
% 1.44/1.86 ( inverse(commutator(X1,X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_33]).
% 1.44/1.86 cnf('0.34.0.0',plain,
% 1.44/1.86 ( commutator(commutator(X1,X2),X1) = inverse(identity) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.33.2.0','0.18.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.34.0.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,X1)) = inverse(identity) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.34.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.34.0.2',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.34.0.1','0.14.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.34.1.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.34.0.2']),
% 1.44/1.86 [weight('<5,33,18,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.34.2.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_34]).
% 1.44/1.86 cnf('0.35.0.0',plain,
% 1.44/1.86 ( commutator(multiply(inverse(X1),X2),X1) = multiply(inverse(X2),multiply(multiply(inverse(X1),X2),X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.32.2.0','0.19.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1.1','L')]).
% 1.44/1.86 cnf('0.35.0.1',plain,
% 1.44/1.86 ( commutator(multiply(inverse(X1),X2),X1) = multiply(inverse(X2),multiply(inverse(X1),multiply(X2,X1))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.35.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.35.0.2',plain,
% 1.44/1.86 ( commutator(multiply(inverse(X1),X2),X1) = multiply(inverse(multiply(X1,X2)),multiply(X2,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.35.0.1','0.29.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.35.0.3',plain,
% 1.44/1.86 ( commutator(multiply(inverse(X1),X2),X1) = commutator(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.35.0.2','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.35.1.0',plain,
% 1.44/1.86 ( commutator(multiply(inverse(X1),X2),X1) = commutator(X2,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.35.0.3']),
% 1.44/1.86 [weight('<6,32,19,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.35.2.0',plain,
% 1.44/1.86 ( commutator(multiply(inverse(X1),X2),X1) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_35]).
% 1.44/1.86 cnf('0.36.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X1) = commutator(X2,X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.35.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.36.1.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X1) = commutator(X2,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.36.0.0']),
% 1.44/1.86 [weight('<5,35,7,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.36.2.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X1) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_36]).
% 1.44/1.86 cnf('0.37.0.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(X1,X2)) = inverse(commutator(X2,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.33.2.0','0.36.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.37.0.1',plain,
% 1.44/1.86 ( commutator(X1,multiply(X1,X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.37.0.0','0.33.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.37.1.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(X1,X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.37.0.1']),
% 1.44/1.86 [weight('<5,36,33,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.37.2.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(X1,X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_37]).
% 1.44/1.86 cnf('0.38.0.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = multiply(inverse(multiply(multiply(inverse(X1),X2),X1)),X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.32.2.0','0.19.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.38.0.1',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = multiply(inverse(multiply(inverse(X1),multiply(X2,X1))),X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.38.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.1.1','L')]).
% 1.44/1.86 cnf('0.38.0.2',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = multiply(multiply(inverse(multiply(X2,X1)),X1),X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.38.0.1','0.27.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.1','L')]).
% 1.44/1.86 cnf('0.38.0.3',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = multiply(inverse(multiply(X2,X1)),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.38.0.2','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.38.0.4',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.38.0.3','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.38.1.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.38.0.4']),
% 1.44/1.86 [weight('<6,32,19,[1,0,0,5]>')]).
% 1.44/1.86 cnf('0.38.2.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(inverse(X1),X2)) = commutator(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_38]).
% 1.44/1.86 cnf('0.40.0.0',plain,
% 1.44/1.86 ( commutator(commutator(inverse(X1),X2),X1) = inverse(identity) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.33.2.0','0.21.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.40.0.1',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X2,X1)) = inverse(identity) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.40.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.40.0.2',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.40.0.1','0.14.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.40.1.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.40.0.2']),
% 1.44/1.86 [weight('<6,33,21,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.40.2.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_40]).
% 1.44/1.86 cnf('0.41.0.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,commutator(X2,X3))) = multiply(commutator(X3,X2),inverse(X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.33.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.41.1.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,commutator(X2,X3))) = multiply(commutator(X3,X2),inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.41.0.0']),
% 1.44/1.86 [weight('<6,33,25,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.41.2.0',plain,
% 1.44/1.86 ( inverse(multiply(X1,commutator(X2,X3))) = multiply(commutator(X3,X2),inverse(X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_41]).
% 1.44/1.86 cnf('0.42.0.0',plain,
% 1.44/1.86 ( inverse(multiply(commutator(X1,X2),X3)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.25.2.0','0.33.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.42.1.0',plain,
% 1.44/1.86 ( inverse(multiply(commutator(X1,X2),X3)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.44/1.86 [weight('<6,33,25,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.42.2.0',plain,
% 1.44/1.86 ( inverse(multiply(commutator(X1,X2),X3)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_42]).
% 1.44/1.86 cnf('0.44.0.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(inverse(multiply(X1,X2)),X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.35.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.44.1.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(inverse(multiply(X1,X2)),X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.44/1.86 [weight('<6,35,25,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.44.2.0',plain,
% 1.44/1.86 ( commutator(inverse(multiply(X1,X2)),X2) = commutator(inverse(X1),X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_44]).
% 1.44/1.86 cnf('0.45.0.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(inverse(X1),X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.37.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.45.1.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(inverse(X1),X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.45.0.0']),
% 1.44/1.86 [weight('<6,37,7,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.45.2.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(inverse(X1),X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_45]).
% 1.44/1.86 cnf('0.47.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X1) = commutator(multiply(X1,X2),inverse(X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.38.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.47.0.1',plain,
% 1.44/1.86 ( commutator(X2,X1) = commutator(multiply(X1,X2),inverse(X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.47.0.0','0.36.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.47.1.0',plain,
% 1.44/1.86 ( commutator(X2,X1) = commutator(multiply(X1,X2),inverse(X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.47.0.1']),
% 1.44/1.86 [weight('<6,38,28,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.47.2.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),inverse(X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_47]).
% 1.44/1.86 cnf('0.53.0.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(inverse(inverse(multiply(X2,X1))),commutator(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.7.2.0','0.32.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.53.0.1',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(multiply(X2,X1),commutator(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.53.0.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.1','L')]).
% 1.44/1.86 cnf('0.53.0.2',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X2,multiply(X1,commutator(X1,X2))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.53.0.1','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.53.1.0',plain,
% 1.44/1.86 ( multiply(X1,X2) = multiply(X2,multiply(X1,commutator(X1,X2))) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.53.0.2']),
% 1.44/1.86 [weight('<7,32,7,[0,0,0,3]>')]).
% 1.44/1.86 cnf('0.53.2.0',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(X2,X1))) = multiply(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_53]).
% 1.44/1.86 cnf('0.54.0.0',plain,
% 1.44/1.86 ( multiply(X1,commutator(X1,X2)) = multiply(commutator(X1,X2),multiply(X1,identity)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.53.2.0','0.18.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.54.0.1',plain,
% 1.44/1.86 ( multiply(X1,commutator(X1,X2)) = multiply(commutator(X1,X2),X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.54.0.0','0.17.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.54.1.0',plain,
% 1.44/1.86 ( multiply(X1,commutator(X1,X2)) = multiply(commutator(X1,X2),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.54.0.1']),
% 1.44/1.86 [weight('<5,53,18,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.54.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),X1) = multiply(X1,commutator(X1,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_54]).
% 1.44/1.86 cnf('0.56.0.0',plain,
% 1.44/1.86 ( multiply(X1,commutator(X2,X1)) = multiply(commutator(X2,X1),multiply(X1,identity)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.53.2.0','0.34.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.56.0.1',plain,
% 1.44/1.86 ( multiply(X1,commutator(X2,X1)) = multiply(commutator(X2,X1),X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.56.0.0','0.17.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.56.1.0',plain,
% 1.44/1.86 ( multiply(X1,commutator(X2,X1)) = multiply(commutator(X2,X1),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.56.0.1']),
% 1.44/1.86 [weight('<5,53,34,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.56.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),X2) = multiply(X2,commutator(X1,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_56]).
% 1.44/1.86 cnf('0.57.0.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),commutator(X1,X2)) = multiply(commutator(X1,X2),multiply(inverse(X1),identity)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.53.2.0','0.20.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.57.0.1',plain,
% 1.44/1.86 ( multiply(inverse(X1),commutator(X1,X2)) = multiply(commutator(X1,X2),inverse(X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.57.0.0','0.17.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.57.1.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),commutator(X1,X2)) = multiply(commutator(X1,X2),inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.57.0.1']),
% 1.44/1.86 [weight('<6,53,20,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.57.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),inverse(X1)) = multiply(inverse(X1),commutator(X1,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_57]).
% 1.44/1.86 cnf('0.60.0.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),commutator(X2,X1)) = multiply(commutator(X2,X1),multiply(inverse(X1),identity)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.53.2.0','0.40.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.60.0.1',plain,
% 1.44/1.86 ( multiply(inverse(X1),commutator(X2,X1)) = multiply(commutator(X2,X1),inverse(X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.60.0.0','0.17.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.2','L')]).
% 1.44/1.86 cnf('0.60.1.0',plain,
% 1.44/1.86 ( multiply(inverse(X1),commutator(X2,X1)) = multiply(commutator(X2,X1),inverse(X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.60.0.1']),
% 1.44/1.86 [weight('<6,53,40,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.60.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),inverse(X2)) = multiply(inverse(X2),commutator(X1,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_60]).
% 1.44/1.86 cnf('0.61.0.0',plain,
% 1.44/1.86 ( identity = multiply(commutator(X1,X2),commutator(X2,X1)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.3.2.0','0.33.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.61.1.0',plain,
% 1.44/1.86 ( identity = multiply(commutator(X1,X2),commutator(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.61.0.0']),
% 1.44/1.86 [weight('<7,33,3,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.61.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),commutator(X2,X1)) = identity ),
% 1.44/1.86 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_61]).
% 1.44/1.86 cnf('0.65.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X1,X3)) = commutator(commutator(X2,X1),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.65.0.1',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X1,X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.65.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.65.1.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X1,X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.65.0.1']),
% 1.44/1.86 [weight('<7,36,5,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.65.2.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X1,X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_65]).
% 1.44/1.86 cnf('0.68.0.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(multiply(X1,X2),X3)) = commutator(commutator(X1,X2),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.5.2.0','0.37.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.68.0.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(multiply(X1,X2),X3)) = commutator(X1,commutator(X2,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.68.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.68.1.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(multiply(X1,X2),X3)) = commutator(X1,commutator(X2,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.68.0.1']),
% 1.44/1.86 [weight('<7,37,5,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.68.2.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(multiply(X1,X2),X3)) = commutator(X1,commutator(X2,X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_68]).
% 1.44/1.86 cnf('0.70.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,commutator(X1,X2)),X2) = commutator(multiply(X1,X2),X2) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.36.2.0','0.53.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.70.1.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,commutator(X1,X2)),X2) = commutator(multiply(X1,X2),X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.70.0.0']),
% 1.44/1.86 [weight('<7,53,36,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.70.2.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,commutator(X1,X2)),X2) = commutator(multiply(X1,X2),X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_70]).
% 1.44/1.86 cnf('0.72.0.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(multiply(X1,commutator(X1,X2)),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.2.2.0','0.54.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.72.0.1',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(X1,multiply(commutator(X1,X2),X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.72.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.72.1.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(X1,multiply(commutator(X1,X2),X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.72.0.1']),
% 1.44/1.86 [weight('<7,54,2,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.72.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(X1,multiply(commutator(X1,X2),X3)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_72]).
% 1.44/1.86 cnf('0.73.0.0',plain,
% 1.44/1.86 ( multiply(multiply(X1,X2),commutator(multiply(X1,X2),X1)) = multiply(commutator(X2,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.54.2.0','0.36.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.73.0.1',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(multiply(X1,X2),X1))) = multiply(commutator(X2,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.73.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.73.0.2',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(X2,X1))) = multiply(commutator(X2,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.73.0.1','0.36.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.73.0.3',plain,
% 1.44/1.86 ( multiply(X2,X1) = multiply(commutator(X2,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.73.0.2','0.53.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.73.1.0',plain,
% 1.44/1.86 ( multiply(X2,X1) = multiply(commutator(X2,X1),multiply(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.73.0.3']),
% 1.44/1.86 [weight('<7,54,36,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.73.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,X2),multiply(X2,X1)) = multiply(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_73]).
% 1.44/1.86 cnf('0.74.0.0',plain,
% 1.44/1.86 ( multiply(multiply(X1,commutator(X1,X2)),X2) = multiply(commutator(multiply(X1,commutator(X1,X2)),X2),multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.73.2.0','0.53.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.74.0.1',plain,
% 1.44/1.86 ( multiply(X1,multiply(commutator(X1,X2),X2)) = multiply(commutator(multiply(X1,commutator(X1,X2)),X2),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.74.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.74.0.2',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(X1,X2))) = multiply(commutator(multiply(X1,commutator(X1,X2)),X2),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.74.0.1','0.56.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.74.0.3',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(X1,X2))) = multiply(commutator(multiply(X1,X2),X2),multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.74.0.2','0.70.2.0',theory(equality)]),
% 1.44/1.86 [pos('R.1','L')]).
% 1.44/1.86 cnf('0.74.0.4',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(X1,X2))) = multiply(multiply(X1,X2),commutator(multiply(X1,X2),X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.74.0.3','0.54.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.74.0.5',plain,
% 1.44/1.86 ( multiply(X1,multiply(X2,commutator(X1,X2))) = multiply(X1,multiply(X2,commutator(multiply(X1,X2),X2))) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.74.0.4','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.74.1.0',plain,
% 1.44/1.86 ( commutator(X1,X2) = commutator(multiply(X1,X2),X2) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.74.0.5']),
% 1.44/1.86 [weight('<5,73,53,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.74.2.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X2) = commutator(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_74]).
% 1.44/1.86 cnf('0.75.0.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),multiply(X1,X2)) = commutator(X2,multiply(X1,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.74.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.75.0.1',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(X2,multiply(X1,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.75.0.0','0.45.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.75.1.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(X2,multiply(X1,X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.75.0.1']),
% 1.44/1.86 [weight('<5,74,7,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.75.2.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(X2,X1)) = commutator(inverse(X2),X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_75]).
% 1.44/1.86 cnf('0.76.0.0',plain,
% 1.44/1.86 ( commutator(inverse(inverse(multiply(X1,X2))),X1) = commutator(X1,inverse(X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.75.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.76.0.1',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X1) = commutator(X1,inverse(X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.76.0.0','0.9.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.76.0.2',plain,
% 1.44/1.86 ( commutator(X2,X1) = commutator(X1,inverse(X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.76.0.1','0.36.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.76.1.0',plain,
% 1.44/1.86 ( commutator(X2,X1) = commutator(X1,inverse(X2)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.76.0.2']),
% 1.44/1.86 [weight('<4,75,28,[1,0,0,2]>')]).
% 1.44/1.86 cnf('0.76.2.0',plain,
% 1.44/1.86 ( commutator(X1,inverse(X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_76]).
% 1.44/1.86 cnf('0.77.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),inverse(X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 1.44/1.86 cnf('0.77.0.1',plain,
% 1.44/1.86 ( commutator(X2,multiply(X1,X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.77.0.0','0.76.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.77.0.2',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.77.0.1','0.75.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.77.1.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(X2,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.77.0.2']),
% 1.44/1.86 [weight('<4,47,76,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.77.2.0',plain,
% 1.44/1.86 ( commutator(inverse(X1),X2) = commutator(X2,X1) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_77]).
% 1.44/1.86 cnf('0.78.0.0',plain,
% 1.44/1.86 ( commutator(inverse(multiply(X1,X2)),X2) = commutator(inverse(X1),X2) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 1.44/1.86 cnf('0.78.0.1',plain,
% 1.44/1.86 ( commutator(X2,multiply(X1,X2)) = commutator(inverse(X1),X2) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.78.0.0','0.77.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','L')]).
% 1.44/1.86 cnf('0.78.0.2',plain,
% 1.44/1.86 ( commutator(X2,multiply(X1,X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.78.0.1','0.77.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.78.1.0',plain,
% 1.44/1.86 ( commutator(X2,multiply(X1,X2)) = commutator(X2,X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.78.0.2']),
% 1.44/1.86 [weight('<5,44,77,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.78.2.0',plain,
% 1.44/1.86 ( commutator(X1,multiply(X2,X1)) = commutator(X1,X2) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 1.44/1.86 [u,rule_78]).
% 1.44/1.86 cnf('0.81.0.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X2),X3)) = commutator(commutator(X2,X1),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.5.2.0','0.76.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.81.0.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X2),X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.81.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.81.1.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(inverse(X2),X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.81.0.1']),
% 1.44/1.86 [weight('<6,76,5,[0,0,0,1]>')]).
% 1.44/1.86 cnf('0.81.1.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(X3,X2)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.81.1.0','0.77.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.81.2.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,X3)) = commutator(X3,commutator(X1,X2)) ),
% 1.44/1.86 inference(activate,[status(thm)],['0.81.1.1']),
% 1.44/1.86 [equation_1]).
% 1.44/1.86 cnf('0.83.0.0',plain,
% 1.44/1.86 ( multiply(X1,commutator(commutator(X2,X3),X1)) = multiply(commutator(X2,commutator(X3,X1)),X1) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.56.2.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.83.0.1',plain,
% 1.44/1.86 ( multiply(X1,commutator(X2,commutator(X3,X1))) = multiply(commutator(X2,commutator(X3,X1)),X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.83.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.83.1.0',plain,
% 1.44/1.86 ( multiply(X1,commutator(X2,commutator(X3,X1))) = multiply(commutator(X2,commutator(X3,X1)),X1) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.83.0.1']),
% 1.44/1.86 [weight('<7,56,5,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.83.2.0',plain,
% 1.44/1.86 ( multiply(commutator(X1,commutator(X2,X3)),X3) = multiply(X3,commutator(X1,commutator(X2,X3))) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_82]).
% 1.44/1.86 cnf('0.85.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X1,X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 1.44/1.86 cnf('0.85.1.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X1,X3)) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.85.0.0']),
% 1.44/1.86 [weight('<7,65,81,[0,0,0,0]>')]).
% 1.44/1.86 cnf('0.85.1.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(X3,multiply(X1,X2))) = commutator(X2,commutator(X1,X3)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.85.1.0','0.81.2.0',theory(equality)]),
% 1.44/1.86 [pos('L','R')]).
% 1.44/1.86 cnf('0.85.2.0',plain,
% 1.44/1.86 ( commutator(X1,commutator(X2,multiply(X1,X3))) = commutator(X3,commutator(X1,X2)) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.85.1.1',theory(equality)]),
% 1.44/1.86 [u,rule_84]).
% 1.44/1.86 cnf('0.88.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X3) = commutator(multiply(X1,multiply(X2,X3)),X3) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.74.2.0','0.2.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.1','L')]).
% 1.44/1.86 cnf('0.88.1.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),X3) = commutator(multiply(X1,multiply(X2,X3)),X3) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.88.0.0']),
% 1.44/1.86 [weight('<7,74,2,[1,0,0,1]>')]).
% 1.44/1.86 cnf('0.88.2.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,multiply(X2,X3)),X3) = commutator(multiply(X1,X2),X3) ),
% 1.44/1.86 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 1.44/1.86 [x,rule_87]).
% 1.44/1.86 cnf('0.92.0.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(inverse(X1),X3)) = commutator(inverse(X1),commutator(X3,X2)) ),
% 1.44/1.86 inference(cp,[status(thm)],['0.85.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2.2','L')]).
% 1.44/1.86 cnf('0.92.0.1',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X3,X1)) = commutator(inverse(X1),commutator(X3,X2)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.92.0.0','0.77.2.0',theory(equality)]),
% 1.44/1.86 [pos('L.2','L')]).
% 1.44/1.86 cnf('0.92.0.2',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X3,X1)) = commutator(commutator(X3,X2),X1) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.92.0.1','0.77.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.92.0.3',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X3,X1)) = commutator(X3,commutator(X2,X1)) ),
% 1.44/1.86 inference(reduction,[status(thm)],['0.92.0.2','0.5.2.0',theory(equality)]),
% 1.44/1.86 [pos('R','L')]).
% 1.44/1.86 cnf('0.92.1.0',plain,
% 1.44/1.86 ( commutator(multiply(X1,X2),commutator(X3,X1)) = commutator(X3,commutator(X2,X1)) ),
% 1.44/1.86 inference(weigh,[status(thm)],['0.92.0.3']),
% 1.44/1.86 [weight('<7,85,7,[1,0,0,4]>')]).
% 1.44/1.86 cnf('0.92.1.1',plain,
% 1.44/1.86 ( commutator(X1,commutator(multiply(X1,X2),X3)) = commutator(X3,commutator(X2,X1)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.92.1.0','0.81.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.92.1.2',plain,
% 1.44/1.87 ( commutator(X1,commutator(X2,X3)) = commutator(X3,commutator(X2,X1)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.92.1.1','0.68.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.92.2.0',plain,
% 1.44/1.87 ( commutator(X1,commutator(X2,X3)) = commutator(X3,commutator(X2,X1)) ),
% 1.44/1.87 inference(activate,[status(thm)],['0.92.1.2']),
% 1.44/1.87 [equation_2]).
% 1.44/1.87 cnf('0.99.0.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.2.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.99.1.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.99.0.0']),
% 1.44/1.87 [weight('<8,28,2,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.99.2.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_95]).
% 1.44/1.87 cnf('0.100.0.0',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(X1,X2)) = multiply(inverse(multiply(multiply(X1,X2),inverse(X1))),X2) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.32.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.100.0.1',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(X1,X2)) = multiply(multiply(X1,inverse(multiply(X1,X2))),X2) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.100.0.0','0.26.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.100.0.2',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(X1,X2)) = multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.100.0.1','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.100.1.0',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(X1,X2)) = multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.100.0.2']),
% 1.44/1.87 [weight('<8,32,7,[1,0,0,5]>')]).
% 1.44/1.87 cnf('0.100.1.1',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),X1) = multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.100.1.0','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.100.1.2',plain,
% 1.44/1.87 ( commutator(X2,X1) = multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.100.1.1','0.36.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.100.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(multiply(X1,X2)),X2)) = commutator(X2,X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.100.1.2',theory(equality)]),
% 1.44/1.87 [x,rule_96]).
% 1.44/1.87 cnf('0.101.0.0',plain,
% 1.44/1.87 ( commutator(inverse(X1),inverse(X2)) = multiply(inverse(inverse(multiply(X1,X2))),multiply(inverse(X1),inverse(X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.32.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.1','L')]).
% 1.44/1.87 cnf('0.101.0.1',plain,
% 1.44/1.87 ( commutator(inverse(X1),inverse(X2)) = multiply(inverse(multiply(X1,inverse(multiply(X1,X2)))),inverse(X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.101.0.0','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.101.0.2',plain,
% 1.44/1.87 ( commutator(inverse(X1),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(multiply(X1,X2))))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.101.0.1','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.101.0.3',plain,
% 1.44/1.87 ( commutator(inverse(X1),inverse(X2)) = multiply(multiply(X1,X2),inverse(multiply(X2,X1))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.101.0.2','0.30.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.101.0.4',plain,
% 1.44/1.87 ( commutator(inverse(X1),inverse(X2)) = multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.101.0.3','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.101.1.0',plain,
% 1.44/1.87 ( commutator(inverse(X1),inverse(X2)) = multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.101.0.4']),
% 1.44/1.87 [weight('<8,32,25,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.101.1.1',plain,
% 1.44/1.87 ( commutator(inverse(X2),X1) = multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.101.1.0','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.101.1.2',plain,
% 1.44/1.87 ( commutator(X1,X2) = multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.101.1.1','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.101.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,inverse(multiply(X2,X1)))) = commutator(X1,X2) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.101.1.2',theory(equality)]),
% 1.44/1.87 [x,rule_97]).
% 1.44/1.87 cnf('0.110.0.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),commutator(multiply(X1,X2),X1)) = multiply(commutator(X2,X1),inverse(multiply(X1,X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.57.2.0','0.36.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.110.0.1',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),commutator(X2,X1)) = multiply(commutator(X2,X1),inverse(multiply(X1,X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.110.0.0','0.36.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.110.1.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),commutator(X2,X1)) = multiply(commutator(X2,X1),inverse(multiply(X1,X2))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.110.0.1']),
% 1.44/1.87 [weight('<8,57,36,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.110.2.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),commutator(X2,X1)) = multiply(commutator(X2,X1),inverse(multiply(X1,X2))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_106]).
% 1.44/1.87 cnf('0.112.0.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(commutator(X2,X3),X1)) = multiply(commutator(X2,commutator(X3,X1)),inverse(X1)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.60.2.0','0.5.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.112.0.1',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(X2,commutator(X3,X1))) = multiply(commutator(X2,commutator(X3,X1)),inverse(X1)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.112.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.112.1.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(X2,commutator(X3,X1))) = multiply(commutator(X2,commutator(X3,X1)),inverse(X1)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.112.0.1']),
% 1.44/1.87 [weight('<8,60,5,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.112.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,commutator(X2,X3)),inverse(X3)) = multiply(inverse(X3),commutator(X1,commutator(X2,X3))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_108]).
% 1.44/1.87 cnf('0.118.0.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),commutator(X3,X1)) = inverse(multiply(X1,multiply(commutator(X1,X3),X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.42.2.0','0.72.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.118.1.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),commutator(X3,X1)) = inverse(multiply(X1,multiply(commutator(X1,X3),X2))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.118.0.0']),
% 1.44/1.87 [weight('<8,72,42,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.118.2.0',plain,
% 1.44/1.87 ( inverse(multiply(X1,multiply(commutator(X1,X2),X3))) = multiply(inverse(multiply(X1,X3)),commutator(X2,X1)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_114]).
% 1.44/1.87 cnf('0.119.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X2,X3)),X4) = commutator(X4,multiply(commutator(X3,X2),inverse(X1))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.76.2.0','0.41.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.119.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X2,X3)),X4) = commutator(X4,multiply(commutator(X3,X2),inverse(X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.119.0.0']),
% 1.44/1.87 [weight('<8,76,41,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.119.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),inverse(X4))) = commutator(multiply(X4,commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_115]).
% 1.44/1.87 cnf('0.120.0.0',plain,
% 1.44/1.87 ( commutator(multiply(commutator(X1,X2),X3),X4) = commutator(X4,multiply(inverse(X3),commutator(X2,X1))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.76.2.0','0.42.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.120.1.0',plain,
% 1.44/1.87 ( commutator(multiply(commutator(X1,X2),X3),X4) = commutator(X4,multiply(inverse(X3),commutator(X2,X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.120.0.0']),
% 1.44/1.87 [weight('<8,76,42,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.120.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(inverse(X2),commutator(X3,X4))) = commutator(multiply(commutator(X4,X3),X2),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_116]).
% 1.44/1.87 cnf('0.121.0.0',plain,
% 1.44/1.87 ( multiply(X1,inverse(X2)) = multiply(inverse(X2),multiply(X1,commutator(X2,X1))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.53.2.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.121.1.0',plain,
% 1.44/1.87 ( multiply(X1,inverse(X2)) = multiply(inverse(X2),multiply(X1,commutator(X2,X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.121.0.0']),
% 1.44/1.87 [weight('<8,76,53,[0,0,0,4]>')]).
% 1.44/1.87 cnf('0.121.2.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),multiply(X2,commutator(X1,X2))) = multiply(X2,inverse(X1)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_117]).
% 1.44/1.87 cnf('0.123.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),X4)) = commutator(multiply(inverse(X4),commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.77.2.0','0.42.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.123.1.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),X4)) = commutator(multiply(inverse(X4),commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.123.0.0']),
% 1.44/1.87 [weight('<8,77,42,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.123.2.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),commutator(X2,X3)),X4) = commutator(X4,multiply(commutator(X3,X2),X1)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_119]).
% 1.44/1.87 cnf('0.124.0.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),X2) = multiply(X2,multiply(inverse(X1),commutator(X2,X1))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.53.2.0','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.124.1.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),X2) = multiply(X2,multiply(inverse(X1),commutator(X2,X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.124.0.0']),
% 1.44/1.87 [weight('<8,77,53,[0,0,0,4]>')]).
% 1.44/1.87 cnf('0.124.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(X2),commutator(X1,X2))) = multiply(inverse(X2),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_120]).
% 1.44/1.87 cnf('0.132.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,inverse(X2)),inverse(X3)) = commutator(multiply(X1,inverse(multiply(X3,X2))),inverse(X3)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.88.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.2','L')]).
% 1.44/1.87 cnf('0.132.0.1',plain,
% 1.44/1.87 ( commutator(X3,multiply(X1,inverse(X2))) = commutator(multiply(X1,inverse(multiply(X3,X2))),inverse(X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.132.0.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.132.0.2',plain,
% 1.44/1.87 ( commutator(X3,multiply(X1,inverse(X2))) = commutator(X3,multiply(X1,inverse(multiply(X3,X2)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.132.0.1','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.132.1.0',plain,
% 1.44/1.87 ( commutator(X3,multiply(X1,inverse(X2))) = commutator(X3,multiply(X1,inverse(multiply(X3,X2)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.132.0.2']),
% 1.44/1.87 [weight('<8,88,25,[1,0,0,3]>')]).
% 1.44/1.87 cnf('0.132.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,inverse(multiply(X1,X3)))) = commutator(X1,multiply(X2,inverse(X3))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_128]).
% 1.44/1.87 cnf('0.142.0.0',plain,
% 1.44/1.87 ( X1 = multiply(commutator(X2,X3),multiply(commutator(X3,X2),X1)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.7.2.0','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.142.1.0',plain,
% 1.44/1.87 ( X1 = multiply(commutator(X2,X3),multiply(commutator(X3,X2),X1)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.142.0.0']),
% 1.44/1.87 [weight('<9,33,7,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.142.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(commutator(X2,X1),X3)) = X3 ),
% 1.44/1.87 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_138]).
% 1.44/1.87 cnf('0.148.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(multiply(X2,commutator(X2,X1)),X3)) = multiply(multiply(X2,X1),X3) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.2.2.0','0.53.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.148.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(multiply(X2,X1),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.148.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.148.0.2',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(X2,multiply(X1,X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.148.0.1','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.148.1.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(X2,multiply(X1,X3)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.148.0.2']),
% 1.44/1.87 [weight('<9,53,2,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.148.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(X2,multiply(X1,X3)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_144]).
% 1.44/1.87 cnf('0.157.0.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(multiply(X2,X1),X3)) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.2.2.0','0.32.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.157.0.1',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(X2,multiply(X1,X3))) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.157.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.157.1.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(X2,multiply(X1,X3))) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.157.0.1']),
% 1.44/1.87 [weight('<?,32,2,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.157.2.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,X2)),multiply(X2,multiply(X1,X3))) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_153]).
% 1.44/1.87 cnf('0.158.0.0',plain,
% 1.44/1.87 ( multiply(commutator(multiply(commutator(X1,X2),X3),X1),X4) = multiply(multiply(inverse(multiply(X1,X3)),commutator(X2,X1)),multiply(multiply(commutator(X1,X2),X3),multiply(X1,X4))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.157.2.0','0.118.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.158.0.1',plain,
% 1.44/1.87 ( multiply(commutator(multiply(commutator(X1,X2),X3),X1),X4) = multiply(inverse(multiply(X1,X3)),multiply(commutator(X2,X1),multiply(multiply(commutator(X1,X2),X3),multiply(X1,X4)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.158.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.158.0.2',plain,
% 1.44/1.87 ( multiply(commutator(multiply(commutator(X1,X2),X3),X1),X4) = multiply(inverse(multiply(X1,X3)),multiply(commutator(X2,X1),multiply(commutator(X1,X2),multiply(X3,multiply(X1,X4))))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.158.0.1','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.158.0.3',plain,
% 1.44/1.87 ( multiply(commutator(multiply(commutator(X1,X2),X3),X1),X4) = multiply(inverse(multiply(X1,X3)),multiply(X3,multiply(X1,X4))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.158.0.2','0.142.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.158.0.4',plain,
% 1.44/1.87 ( multiply(commutator(multiply(commutator(X1,X2),X3),X1),X4) = multiply(commutator(X3,X1),X4) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.158.0.3','0.157.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.158.1.0',plain,
% 1.44/1.87 ( commutator(multiply(commutator(X1,X2),X3),X1) = commutator(X3,X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.158.0.4']),
% 1.44/1.87 [weight('<7,157,118,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.158.2.0',plain,
% 1.44/1.87 ( commutator(multiply(commutator(X1,X2),X3),X1) = commutator(X3,X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_154]).
% 1.44/1.87 cnf('0.167.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(inverse(X2),X3)),X4) = commutator(X4,multiply(inverse(X3),multiply(X2,inverse(X1)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.76.2.0','0.31.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.167.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(inverse(X2),X3)),X4) = commutator(X4,multiply(inverse(X3),multiply(X2,inverse(X1)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.167.0.0']),
% 1.44/1.87 [weight('<9,76,31,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.167.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(inverse(X2),multiply(X3,inverse(X4)))) = commutator(multiply(X4,multiply(inverse(X3),X2)),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_163]).
% 1.44/1.87 cnf('0.169.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X2,X1),multiply(X1,commutator(X1,X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.53.2.0','0.78.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.169.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,X1)) = multiply(X2,multiply(X1,multiply(X1,commutator(X1,X2)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.169.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.169.1.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,X1)) = multiply(X2,multiply(X1,multiply(X1,commutator(X1,X2)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.169.0.1']),
% 1.44/1.87 [weight('<9,78,53,[0,0,0,4]>')]).
% 1.44/1.87 cnf('0.169.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(X2,commutator(X2,X1)))) = multiply(X2,multiply(X1,X2)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_165]).
% 1.44/1.87 cnf('0.205.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,inverse(multiply(inverse(X3),commutator(X1,X3))))) = commutator(X1,multiply(X2,inverse(multiply(inverse(X3),X1)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.132.2.0','0.124.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2.1','L')]).
% 1.44/1.87 cnf('0.205.0.1',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(commutator(X1,X3)),X3))) = commutator(X1,multiply(X2,inverse(multiply(inverse(X3),X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.205.0.0','0.27.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.205.0.2',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(commutator(X3,X1),X3))) = commutator(X1,multiply(X2,inverse(multiply(inverse(X3),X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.205.0.1','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2.1','L')]).
% 1.44/1.87 cnf('0.205.0.3',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(X3,commutator(X3,X1)))) = commutator(X1,multiply(X2,inverse(multiply(inverse(X3),X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.205.0.2','0.54.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.205.0.4',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(X3,commutator(X3,X1)))) = commutator(X1,multiply(X2,multiply(inverse(X1),X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.205.0.3','0.27.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.205.1.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(X3,commutator(X3,X1)))) = commutator(X1,multiply(X2,multiply(inverse(X1),X3))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.205.0.4']),
% 1.44/1.87 [weight('<9,132,124,[1,0,0,5]>')]).
% 1.44/1.87 cnf('0.205.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(X3,commutator(X3,X1)))) = commutator(X1,multiply(X2,multiply(inverse(X1),X3))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_195]).
% 1.44/1.87 cnf('0.206.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))) = commutator(X1,multiply(inverse(multiply(X3,X2)),commutator(inverse(X3),X1))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.205.2.0','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.206.0.1',plain,
% 1.44/1.87 ( commutator(multiply(X3,multiply(inverse(inverse(X1)),X2)),X1) = commutator(X1,multiply(inverse(multiply(X3,X2)),commutator(inverse(X3),X1))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.206.0.0','0.167.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.206.0.2',plain,
% 1.44/1.87 ( commutator(multiply(X3,multiply(X1,X2)),X1) = commutator(X1,multiply(inverse(multiply(X3,X2)),commutator(inverse(X3),X1))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.206.0.1','0.9.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.2.1','L')]).
% 1.44/1.87 cnf('0.206.0.3',plain,
% 1.44/1.87 ( commutator(multiply(X3,multiply(X1,X2)),X1) = commutator(multiply(commutator(X1,inverse(X3)),multiply(X3,X2)),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.206.0.2','0.120.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.206.0.4',plain,
% 1.44/1.87 ( commutator(multiply(X3,multiply(X1,X2)),X1) = commutator(multiply(X3,X2),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.206.0.3','0.158.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.206.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X3,multiply(X1,X2)),X1) = commutator(multiply(X3,X2),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.206.0.4']),
% 1.44/1.87 [weight('<7,205,29,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.206.2.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(X2,X3)),X2) = commutator(multiply(X1,X3),X2) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_196]).
% 1.44/1.87 cnf('0.207.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(X2,X3)),inverse(X2)) = commutator(multiply(X1,X3),inverse(X2)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.206.2.0','0.7.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.2','L')]).
% 1.44/1.87 cnf('0.207.0.1',plain,
% 1.44/1.87 ( commutator(X2,multiply(X1,multiply(X2,X3))) = commutator(multiply(X1,X3),inverse(X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.207.0.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.207.0.2',plain,
% 1.44/1.87 ( commutator(X2,multiply(X1,multiply(X2,X3))) = commutator(X2,multiply(X1,X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.207.0.1','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.207.1.0',plain,
% 1.44/1.87 ( commutator(X2,multiply(X1,multiply(X2,X3))) = commutator(X2,multiply(X1,X3)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.207.0.2']),
% 1.44/1.87 [weight('<7,206,7,[1,0,0,3]>')]).
% 1.44/1.87 cnf('0.207.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(X1,X3))) = commutator(X1,multiply(X2,X3)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_197]).
% 1.44/1.87 cnf('0.208.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,X3)) = multiply(inverse(multiply(X2,multiply(X3,X1))),multiply(X1,multiply(X2,X3))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.32.2.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.1','L')]).
% 1.44/1.87 cnf('0.208.1.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,X3)) = multiply(inverse(multiply(X2,multiply(X3,X1))),multiply(X1,multiply(X2,X3))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.208.0.0']),
% 1.44/1.87 [weight('<?,32,2,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.208.2.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X3,multiply(X1,X2))) = commutator(X3,multiply(X1,X2)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.208.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_198]).
% 1.44/1.87 cnf('0.213.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),inverse(X3)) = commutator(X3,multiply(X1,multiply(inverse(X3),X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.206.2.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.213.0.1',plain,
% 1.44/1.87 ( commutator(X3,multiply(X1,X2)) = commutator(X3,multiply(X1,multiply(inverse(X3),X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.213.0.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.213.1.0',plain,
% 1.44/1.87 ( commutator(X3,multiply(X1,X2)) = commutator(X3,multiply(X1,multiply(inverse(X3),X2))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.213.0.1']),
% 1.44/1.87 [weight('<8,206,76,[1,0,0,0]>')]).
% 1.44/1.87 cnf('0.213.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X3))) = commutator(X1,multiply(X2,X3)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_203]).
% 1.44/1.87 cnf('0.214.0.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(multiply(X1,X2)),X3),X1) = commutator(multiply(inverse(X2),X3),X1) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.206.2.0','0.99.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.214.1.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(multiply(X1,X2)),X3),X1) = commutator(multiply(inverse(X2),X3),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.214.0.0']),
% 1.44/1.87 [weight('<8,206,99,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.214.2.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(multiply(X1,X2)),X3),X1) = commutator(multiply(inverse(X2),X3),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_204]).
% 1.44/1.87 cnf('0.215.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(X2,commutator(X2,X1)))) = multiply(inverse(multiply(X2,multiply(multiply(X2,commutator(X2,X1)),X1))),multiply(X2,multiply(X1,X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.208.2.0','0.169.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.215.0.1',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(inverse(multiply(X2,multiply(multiply(X2,commutator(X2,X1)),X1))),multiply(X2,multiply(X1,X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.0','0.205.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.215.0.2',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(inverse(multiply(multiply(X2,commutator(X2,X1)),X1)),multiply(X1,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.1','0.99.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.215.0.3',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(inverse(multiply(X2,multiply(commutator(X2,X1),X1))),multiply(X1,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.2','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1.1','L')]).
% 1.44/1.87 cnf('0.215.0.4',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(multiply(inverse(multiply(X2,X1)),commutator(X1,X2)),multiply(X1,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.3','0.118.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.215.0.5',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(multiply(commutator(X1,X2),inverse(multiply(X2,X1))),multiply(X1,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.4','0.110.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.215.0.6',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(commutator(X1,X2),multiply(inverse(multiply(X2,X1)),multiply(X1,X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.5','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.215.0.7',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(commutator(X1,X2),commutator(X1,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.0.6','0.32.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.215.1.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,multiply(inverse(X1),X2))) = multiply(commutator(X1,X2),commutator(X1,X2)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.215.0.7']),
% 1.44/1.87 [weight('<8,208,169,[1,0,0,7]>')]).
% 1.44/1.87 cnf('0.215.1.1',plain,
% 1.44/1.87 ( commutator(X1,multiply(X2,X2)) = multiply(commutator(X1,X2),commutator(X1,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.215.1.0','0.213.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.215.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X1,X2)) = commutator(X1,multiply(X2,X2)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.215.1.1',theory(equality)]),
% 1.44/1.87 [x,rule_205]).
% 1.44/1.87 cnf('0.232.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(commutator(X1,X2),X3)),X2) = commutator(multiply(X1,multiply(X2,X3)),X2) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.36.2.0','0.148.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.232.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(commutator(X1,X2),X3)),X2) = commutator(multiply(X1,multiply(X2,X3)),X2) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.232.0.0']),
% 1.44/1.87 [weight('<9,148,36,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.232.1.1',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(commutator(X1,X2),X3)),X2) = commutator(multiply(X1,X3),X2) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.232.1.0','0.206.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.232.2.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(commutator(X1,X2),X3)),X2) = commutator(multiply(X1,X3),X2) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.232.1.1',theory(equality)]),
% 1.44/1.87 [u,rule_222]).
% 1.44/1.87 cnf('0.241.0.0',plain,
% 1.44/1.87 ( commutator(X1,commutator(X2,multiply(commutator(X1,X3),X4))) = commutator(X2,commutator(X4,X1)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.81.2.0','0.158.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.241.1.0',plain,
% 1.44/1.87 ( commutator(X1,commutator(X2,multiply(commutator(X1,X3),X4))) = commutator(X2,commutator(X4,X1)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.241.0.0']),
% 1.44/1.87 [weight('<9,158,81,[0,0,0,2]>')]).
% 1.44/1.87 cnf('0.241.2.0',plain,
% 1.44/1.87 ( commutator(X1,commutator(X2,multiply(commutator(X1,X3),X4))) = commutator(X2,commutator(X4,X1)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.241.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_231]).
% 1.44/1.87 cnf('0.242.0.0',plain,
% 1.44/1.87 ( identity = multiply(commutator(X1,commutator(X2,X3)),commutator(commutator(X1,multiply(commutator(X3,X4),X2)),X3)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.61.2.0','0.241.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.242.0.1',plain,
% 1.44/1.87 ( identity = multiply(commutator(X1,commutator(X2,X3)),commutator(X1,commutator(multiply(commutator(X3,X4),X2),X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.242.0.0','0.5.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.242.0.2',plain,
% 1.44/1.87 ( identity = multiply(commutator(X1,commutator(X2,X3)),commutator(X1,commutator(X2,X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.242.0.1','0.158.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.242.0.3',plain,
% 1.44/1.87 ( identity = commutator(X1,multiply(commutator(X2,X3),commutator(X2,X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.242.0.2','0.215.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.242.0.4',plain,
% 1.44/1.87 ( identity = commutator(X1,commutator(X2,multiply(X3,X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.242.0.3','0.215.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.242.1.0',plain,
% 1.44/1.87 ( identity = commutator(X1,commutator(X2,multiply(X3,X3))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.242.0.4']),
% 1.44/1.87 [weight('<7,241,61,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.242.2.0',plain,
% 1.44/1.87 ( commutator(X1,commutator(X2,multiply(X3,X3))) = identity ),
% 1.44/1.87 inference(orient,[status(thm)],['0.242.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_232]).
% 1.44/1.87 cnf('0.243.0.0',plain,
% 1.44/1.87 ( identity = commutator(X1,commutator(X2,inverse(multiply(X3,X3)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.242.2.0','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.243.0.1',plain,
% 1.44/1.87 ( identity = commutator(X1,commutator(multiply(X3,X3),X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.243.0.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.243.1.0',plain,
% 1.44/1.87 ( identity = commutator(X1,commutator(multiply(X3,X3),X2)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.243.0.1']),
% 1.44/1.87 [weight('<7,242,25,[1,0,0,4]>')]).
% 1.44/1.87 cnf('0.243.2.0',plain,
% 1.44/1.87 ( commutator(X1,commutator(multiply(X2,X2),X3)) = identity ),
% 1.44/1.87 inference(orient,[status(thm)],['0.243.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_233]).
% 1.44/1.87 cnf('0.287.0.0',plain,
% 1.44/1.87 ( commutator(multiply(multiply(X1,X2),X3),X4) = commutator(multiply(X1,multiply(X2,multiply(X4,X3))),X4) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.206.2.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.287.0.1',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(X2,X3)),X4) = commutator(multiply(X1,multiply(X2,multiply(X4,X3))),X4) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.287.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.287.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(X2,X3)),X4) = commutator(multiply(X1,multiply(X2,multiply(X4,X3))),X4) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.287.0.1']),
% 1.44/1.87 [weight('<9,206,2,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.287.2.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,multiply(X2,multiply(X3,X4))),X3) = commutator(multiply(X1,multiply(X2,X4)),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.287.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_271]).
% 1.44/1.87 cnf('0.304.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,commutator(X1,X2))) = multiply(X2,multiply(X1,commutator(X1,multiply(X2,X2)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.148.2.0','0.215.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.304.1.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,commutator(X1,X2))) = multiply(X2,multiply(X1,commutator(X1,multiply(X2,X2)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.304.0.0']),
% 1.44/1.87 [weight('<9,215,148,[0,0,0,4]>')]).
% 1.44/1.87 cnf('0.304.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,commutator(X2,multiply(X1,X1)))) = multiply(X2,multiply(X1,commutator(X2,X1))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.304.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_288]).
% 1.44/1.87 cnf('0.310.0.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(multiply(X1,X2),X3)),multiply(X2,X1)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.29.2.0','0.32.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.310.0.1',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X2,X1)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.310.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.1','L')]).
% 1.44/1.87 cnf('0.310.1.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X2,X1)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.310.0.1']),
% 1.44/1.87 [weight('<?,32,29,[0,0,0,3]>')]).
% 1.44/1.87 cnf('0.310.2.0',plain,
% 1.44/1.87 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X2,X1)) = multiply(inverse(X3),commutator(X2,X1)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.310.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_294]).
% 1.44/1.87 cnf('0.324.0.0',plain,
% 1.44/1.87 ( multiply(multiply(X1,multiply(commutator(X1,X2),X3)),X2) = multiply(X2,multiply(multiply(X1,multiply(commutator(X1,X2),X3)),commutator(multiply(X1,X3),X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.53.2.0','0.232.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.324.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(multiply(commutator(X1,X2),X3),X2)) = multiply(X2,multiply(multiply(X1,multiply(commutator(X1,X2),X3)),commutator(multiply(X1,X3),X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.324.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.324.0.2',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X1,X2),multiply(X3,X2))) = multiply(X2,multiply(multiply(X1,multiply(commutator(X1,X2),X3)),commutator(multiply(X1,X3),X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.324.0.1','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.324.0.3',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X1,X2),multiply(X3,X2))) = multiply(X2,multiply(X1,multiply(multiply(commutator(X1,X2),X3),commutator(multiply(X1,X3),X2)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.324.0.2','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.324.0.4',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X1,X2),multiply(X3,X2))) = multiply(X2,multiply(X1,multiply(commutator(X1,X2),multiply(X3,commutator(multiply(X1,X3),X2))))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.324.0.3','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.324.0.5',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X1,X2),multiply(X3,X2))) = multiply(X1,multiply(X2,multiply(X3,commutator(multiply(X1,X3),X2)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.324.0.4','0.148.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.324.1.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(X3,X2)) = multiply(X2,multiply(X3,commutator(multiply(X1,X3),X2))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.324.0.5']),
% 1.44/1.87 [weight('<9,232,53,[0,0,0,4]>')]).
% 1.44/1.87 cnf('0.324.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,commutator(multiply(X3,X2),X1))) = multiply(commutator(X3,X1),multiply(X2,X1)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_307]).
% 1.44/1.87 cnf('0.369.0.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(multiply(multiply(X1,X2),multiply(X3,X4))),multiply(X3,X2)),X1) = commutator(multiply(inverse(X4),commutator(X3,multiply(X1,X2))),X1) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.287.2.0','0.310.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.369.0.1',plain,
% 1.44/1.87 ( commutator(multiply(inverse(multiply(X1,multiply(X2,multiply(X3,X4)))),multiply(X3,X2)),X1) = commutator(multiply(inverse(X4),commutator(X3,multiply(X1,X2))),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.369.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.1.1','L')]).
% 1.44/1.87 cnf('0.369.0.2',plain,
% 1.44/1.87 ( commutator(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X3,X2)),X1) = commutator(multiply(inverse(X4),commutator(X3,multiply(X1,X2))),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.369.0.1','0.214.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.369.0.3',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X4),commutator(X3,X2)),X1) = commutator(multiply(inverse(X4),commutator(X3,multiply(X1,X2))),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.369.0.2','0.310.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.369.0.4',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),X4)) = commutator(multiply(inverse(X4),commutator(X3,multiply(X1,X2))),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.369.0.3','0.123.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.369.0.5',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),X4)) = commutator(X1,multiply(commutator(multiply(X1,X2),X3),X4)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.369.0.4','0.123.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.369.1.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),X4)) = commutator(X1,multiply(commutator(multiply(X1,X2),X3),X4)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.369.0.5']),
% 1.44/1.87 [weight('<9,310,287,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.369.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(multiply(X1,X2),X3),X4)) = commutator(X1,multiply(commutator(X2,X3),X4)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.369.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_352]).
% 1.44/1.87 cnf('0.375.0.0',plain,
% 1.44/1.87 ( multiply(commutator(inverse(multiply(X1,X2)),X3),multiply(X1,X3)) = multiply(X3,multiply(X1,commutator(inverse(X2),X3))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.324.2.0','0.28.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2.1','L')]).
% 1.44/1.87 cnf('0.375.0.1',plain,
% 1.44/1.87 ( multiply(commutator(X3,multiply(X1,X2)),multiply(X1,X3)) = multiply(X3,multiply(X1,commutator(inverse(X2),X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.375.0.0','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.375.0.2',plain,
% 1.44/1.87 ( multiply(commutator(X3,multiply(X1,X2)),multiply(X1,X3)) = multiply(X3,multiply(X1,commutator(X3,X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.375.0.1','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.375.1.0',plain,
% 1.44/1.87 ( multiply(commutator(X3,multiply(X1,X2)),multiply(X1,X3)) = multiply(X3,multiply(X1,commutator(X3,X2))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.375.0.2']),
% 1.44/1.87 [weight('<9,324,28,[1,0,0,5]>')]).
% 1.44/1.87 cnf('0.375.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,multiply(X2,X3)),multiply(X2,X1)) = multiply(X1,multiply(X2,commutator(X1,X3))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.375.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_358]).
% 1.44/1.87 cnf('0.407.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,multiply(multiply(X1,X2),X3)),X4)) = commutator(X1,multiply(commutator(multiply(X1,X2),X3),X4)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.369.2.0','0.37.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.407.0.1',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,multiply(X1,multiply(X2,X3))),X4)) = commutator(X1,multiply(commutator(multiply(X1,X2),X3),X4)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.407.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1.2','L')]).
% 1.44/1.87 cnf('0.407.0.2',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)) = commutator(X1,multiply(commutator(multiply(X1,X2),X3),X4)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.407.0.1','0.207.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.407.0.3',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)) = commutator(X1,multiply(commutator(X2,X3),X4)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.407.0.2','0.369.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.407.1.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)) = commutator(X1,multiply(commutator(X2,X3),X4)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.407.0.3']),
% 1.44/1.87 [weight('<9,369,37,[1,0,0,3]>')]).
% 1.44/1.87 cnf('0.407.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)) = commutator(X1,multiply(commutator(X2,X3),X4)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.407.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_390]).
% 1.44/1.87 cnf('0.412.0.0',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(multiply(inverse(X2),X3),inverse(X1))),multiply(inverse(multiply(X2,X1)),X3)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.32.2.0','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.412.0.1',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(inverse(multiply(multiply(X2,X1),multiply(multiply(inverse(X2),X3),inverse(X1)))),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.0.0','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.412.0.2',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(multiply(X1,inverse(multiply(multiply(X2,X1),multiply(inverse(X2),X3)))),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.0.1','0.30.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.412.0.3',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(X1,multiply(inverse(multiply(multiply(X2,X1),multiply(inverse(X2),X3))),X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.0.2','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.412.0.4',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(X1,multiply(multiply(inverse(X3),multiply(X2,inverse(multiply(X2,X1)))),X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.0.3','0.31.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.1','L')]).
% 1.44/1.87 cnf('0.412.0.5',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(X1,multiply(inverse(X3),multiply(multiply(X2,inverse(multiply(X2,X1))),X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.0.4','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.412.0.6',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(X1,multiply(inverse(X3),multiply(X2,multiply(inverse(multiply(X2,X1)),X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.0.5','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.412.1.0',plain,
% 1.44/1.87 ( commutator(inverse(X1),multiply(inverse(X2),X3)) = multiply(X1,multiply(inverse(X3),multiply(X2,multiply(inverse(multiply(X2,X1)),X3)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.412.0.6']),
% 1.44/1.87 [weight('<?,32,29,[1,0,0,5]>')]).
% 1.44/1.87 cnf('0.412.1.1',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X2),X3),X1) = multiply(X1,multiply(inverse(X3),multiply(X2,multiply(inverse(multiply(X2,X1)),X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.412.1.0','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.412.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(X2),multiply(X3,multiply(inverse(multiply(X3,X1)),X2)))) = commutator(multiply(inverse(X3),X2),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.412.1.1',theory(equality)]),
% 1.44/1.87 [x,rule_394]).
% 1.44/1.87 cnf('0.467.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(multiply(inverse(multiply(X1,X2)),X2),X3)) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.2.2.0','0.100.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.467.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(multiply(X1,X2)),multiply(X2,X3))) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.467.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.467.1.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(multiply(X1,X2)),multiply(X2,X3))) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.467.0.1']),
% 1.44/1.87 [weight('<10,100,2,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.467.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(multiply(X1,X2)),multiply(X2,X3))) = multiply(commutator(X2,X1),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.467.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_448]).
% 1.44/1.87 cnf('0.469.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(multiply(X2,inverse(multiply(X2,X1))),X3)) = multiply(commutator(X1,X2),X3) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.2.2.0','0.101.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.469.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(inverse(multiply(X2,X1)),X3))) = multiply(commutator(X1,X2),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.469.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.469.1.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(inverse(multiply(X2,X1)),X3))) = multiply(commutator(X1,X2),X3) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.469.0.1']),
% 1.44/1.87 [weight('<10,101,2,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.469.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(X2,multiply(inverse(multiply(X2,X1)),X3))) = multiply(commutator(X1,X2),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.469.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_450]).
% 1.44/1.87 cnf('0.470.0.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(X3,multiply(inverse(multiply(X3,X2)),multiply(X2,X1)))) = multiply(X1,commutator(multiply(inverse(X3),multiply(X2,X1)),X2)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.469.2.0','0.412.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.470.0.1',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(commutator(X2,X3),X1)) = multiply(X1,commutator(multiply(inverse(X3),multiply(X2,X1)),X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.470.0.0','0.467.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.470.0.2',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(commutator(X2,X3),X1)) = multiply(X1,commutator(multiply(inverse(X3),X1),X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.470.0.1','0.206.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.470.1.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(commutator(X2,X3),X1)) = multiply(X1,commutator(multiply(inverse(X3),X1),X2)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.470.0.2']),
% 1.44/1.87 [weight('<9,469,412,[1,0,0,2]>')]).
% 1.44/1.87 cnf('0.470.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),multiply(commutator(X2,X3),X1)) = multiply(X1,commutator(multiply(inverse(X3),X1),X2)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.470.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_451]).
% 1.44/1.87 cnf('0.471.0.0',plain,
% 1.44/1.87 ( multiply(X1,inverse(multiply(commutator(inverse(X1),X2),commutator(X2,X3)))) = inverse(multiply(inverse(X1),commutator(multiply(inverse(X3),inverse(X1)),X2))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.30.2.0','0.470.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.471.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(inverse(commutator(X2,X3)),commutator(X2,inverse(X1)))) = inverse(multiply(inverse(X1),commutator(multiply(inverse(X3),inverse(X1)),X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.0','0.42.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.471.0.2',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X2,inverse(X1)))) = inverse(multiply(inverse(X1),commutator(multiply(inverse(X3),inverse(X1)),X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.1','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.471.0.3',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X1,X2))) = inverse(multiply(inverse(X1),commutator(multiply(inverse(X3),inverse(X1)),X2))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.2','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.471.0.4',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X1,X2))) = multiply(inverse(commutator(multiply(inverse(X3),inverse(X1)),X2)),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.3','0.27.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.471.0.5',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X1,X2))) = multiply(commutator(X2,multiply(inverse(X3),inverse(X1))),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.4','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.471.0.6',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X1,X2))) = multiply(commutator(X2,inverse(multiply(X1,X3))),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.5','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1.2','L')]).
% 1.44/1.87 cnf('0.471.0.7',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X1,X2))) = multiply(commutator(multiply(X1,X3),X2),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.471.0.6','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.471.1.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X3,X2),commutator(X1,X2))) = multiply(commutator(multiply(X1,X3),X2),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.471.0.7']),
% 1.44/1.87 [weight('<9,470,30,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.471.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,X3),commutator(X1,X3))) = multiply(commutator(multiply(X1,X2),X3),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.471.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_452]).
% 1.44/1.87 cnf('0.474.0.0',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(inverse(commutator(X2,X1)),X1),X3)) = multiply(commutator(X1,X3),multiply(X1,commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.470.2.0','0.83.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.474.0.1',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(commutator(X1,X2),X1),X3)) = multiply(commutator(X1,X3),multiply(X1,commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.474.0.0','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1.1','L')]).
% 1.44/1.87 cnf('0.474.0.2',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(X1,commutator(X1,X2)),X3)) = multiply(commutator(X1,X3),multiply(X1,commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.474.0.1','0.54.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.474.0.3',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(X1,commutator(X1,X2)),X3)) = multiply(X1,multiply(commutator(X1,X3),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.474.0.2','0.72.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.474.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = multiply(commutator(X1,X3),commutator(X3,commutator(X2,X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.474.0.3']),
% 1.44/1.87 [weight('<9,470,83,[1,0,0,4]>')]).
% 1.44/1.87 cnf('0.474.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X2,commutator(X3,X1))) = commutator(multiply(X1,commutator(X1,X3)),X2) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.474.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_455]).
% 1.44/1.87 cnf('0.477.0.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(multiply(inverse(commutator(X2,X1)),inverse(X1)),X3)) = multiply(commutator(inverse(X1),X3),multiply(inverse(X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.470.2.0','0.112.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.477.0.1',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(inverse(multiply(X1,commutator(X2,X1))),X3)) = multiply(commutator(inverse(X1),X3),multiply(inverse(X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.0','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.477.0.2',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(multiply(commutator(X1,X2),inverse(X1)),X3)) = multiply(commutator(inverse(X1),X3),multiply(inverse(X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.1','0.41.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.477.0.3',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(multiply(inverse(X1),commutator(X1,X2)),X3)) = multiply(commutator(inverse(X1),X3),multiply(inverse(X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.2','0.57.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.477.0.4',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(X3,multiply(commutator(X2,X1),X1))) = multiply(commutator(inverse(X1),X3),multiply(inverse(X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.3','0.123.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.477.0.5',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(X3,multiply(X1,commutator(X2,X1)))) = multiply(commutator(inverse(X1),X3),multiply(inverse(X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.4','0.56.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2','L')]).
% 1.44/1.87 cnf('0.477.0.6',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(X3,multiply(X1,commutator(X2,X1)))) = multiply(inverse(X1),multiply(commutator(inverse(X1),X3),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.5','0.72.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.477.0.7',plain,
% 1.44/1.87 ( multiply(inverse(X1),commutator(X3,multiply(X1,commutator(X2,X1)))) = multiply(inverse(X1),multiply(commutator(X3,X1),commutator(X3,commutator(X2,X1)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.477.0.6','0.77.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.1','L')]).
% 1.44/1.87 cnf('0.477.1.0',plain,
% 1.44/1.87 ( commutator(X3,multiply(X1,commutator(X2,X1))) = multiply(commutator(X3,X1),commutator(X3,commutator(X2,X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.477.0.7']),
% 1.44/1.87 [weight('<9,470,112,[1,0,0,4]>')]).
% 1.44/1.87 cnf('0.477.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X1,commutator(X3,X2))) = commutator(X1,multiply(X2,commutator(X3,X2))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.477.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_458]).
% 1.44/1.87 cnf('0.482.0.0',plain,
% 1.44/1.87 ( multiply(commutator(multiply(X1,X2),inverse(X3)),X1) = multiply(X1,multiply(commutator(X3,X2),commutator(X1,inverse(X3)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.471.2.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.1','L')]).
% 1.44/1.87 cnf('0.482.0.1',plain,
% 1.44/1.87 ( multiply(commutator(X3,multiply(X1,X2)),X1) = multiply(X1,multiply(commutator(X3,X2),commutator(X1,inverse(X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.482.0.0','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.482.0.2',plain,
% 1.44/1.87 ( multiply(commutator(X3,multiply(X1,X2)),X1) = multiply(X1,multiply(commutator(X3,X2),commutator(X3,X1))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.482.0.1','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.482.1.0',plain,
% 1.44/1.87 ( multiply(commutator(X3,multiply(X1,X2)),X1) = multiply(X1,multiply(commutator(X3,X2),commutator(X3,X1))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.482.0.2']),
% 1.44/1.87 [weight('<9,471,76,[1,0,0,3]>')]).
% 1.44/1.87 cnf('0.482.2.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,X3),commutator(X2,X1))) = multiply(commutator(X2,multiply(X1,X3)),X1) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.482.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_463]).
% 1.44/1.87 cnf('0.506.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = multiply(commutator(X1,X3),commutator(X2,commutator(X1,X3))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.474.2.0','0.81.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','R')]).
% 1.44/1.87 cnf('0.506.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = multiply(commutator(X1,X3),commutator(X2,commutator(X1,X3))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.506.0.0']),
% 1.44/1.87 [weight('<9,474,81,[1,0,1,4]>')]).
% 1.44/1.87 cnf('0.506.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X3,commutator(X1,X2))) = commutator(multiply(X1,commutator(X1,X3)),X2) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.506.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_479]).
% 1.44/1.87 cnf('0.508.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = multiply(commutator(X1,X3),commutator(X1,commutator(X2,X3))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.474.2.0','0.92.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.508.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = multiply(commutator(X1,X3),commutator(X1,commutator(X2,X3))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.508.0.0']),
% 1.44/1.87 [weight('<9,474,92,[1,0,0,4]>')]).
% 1.44/1.87 cnf('0.508.1.1',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = commutator(X1,multiply(X3,commutator(X2,X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.508.1.0','0.477.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.508.2.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X1,X2)),X3) = commutator(X1,multiply(X3,commutator(X2,X3))) ),
% 1.44/1.87 inference(activate,[status(thm)],['0.508.1.1']),
% 1.44/1.87 [equation_28]).
% 1.44/1.87 cnf('0.514.0.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),X2),X3) = multiply(multiply(inverse(X2),multiply(X1,inverse(X3))),multiply(multiply(inverse(X1),X2),X3)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.32.2.0','0.31.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.514.0.1',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),X2),X3) = multiply(inverse(X2),multiply(multiply(X1,inverse(X3)),multiply(multiply(inverse(X1),X2),X3))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.514.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.514.0.2',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),X2),X3) = multiply(inverse(X2),multiply(X1,multiply(inverse(X3),multiply(multiply(inverse(X1),X2),X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.514.0.1','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.514.0.3',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),X2),X3) = multiply(inverse(X2),multiply(X1,multiply(inverse(X3),multiply(inverse(X1),multiply(X2,X3))))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.514.0.2','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2.2','L')]).
% 1.44/1.87 cnf('0.514.0.4',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),X2),X3) = multiply(inverse(X2),multiply(X1,multiply(inverse(multiply(X1,X3)),multiply(X2,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.514.0.3','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.514.1.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(X1),X2),X3) = multiply(inverse(X2),multiply(X1,multiply(inverse(multiply(X1,X3)),multiply(X2,X3)))) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.514.0.4']),
% 1.44/1.87 [weight('<?,32,31,[1,0,0,1]>')]).
% 1.44/1.87 cnf('0.514.2.0',plain,
% 1.44/1.87 ( multiply(inverse(X1),multiply(X2,multiply(inverse(multiply(X2,X3)),multiply(X1,X3)))) = commutator(multiply(inverse(X2),X1),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.514.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_485]).
% 1.44/1.87 cnf('0.552.0.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = commutator(multiply(multiply(X1,X2),commutator(X2,X1)),X3) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.508.2.0','0.36.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.2','L')]).
% 1.44/1.87 cnf('0.552.0.1',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = commutator(multiply(X1,multiply(X2,commutator(X2,X1))),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.552.0.0','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.552.0.2',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = commutator(multiply(X2,X1),X3) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.552.0.1','0.53.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.552.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = commutator(multiply(X2,X1),X3) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.552.0.2']),
% 1.44/1.87 [weight('<9,508,36,[1,0,0,3]>')]).
% 1.44/1.87 cnf('0.552.2.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = commutator(multiply(X2,X1),X3) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.552.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_518]).
% 1.44/1.87 cnf('0.556.0.0',plain,
% 1.44/1.87 ( commutator(multiply(inverse(inverse(X1)),X2),multiply(X3,commutator(X1,X3))) = multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(multiply(X3,inverse(X1))),multiply(X2,multiply(X3,commutator(X1,X3)))))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.514.2.0','0.121.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2.1.1','L')]).
% 1.44/1.87 cnf('0.556.0.1',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(multiply(X3,inverse(X1))),multiply(X2,multiply(X3,commutator(X1,X3)))))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.0','0.9.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1.1','L')]).
% 1.44/1.87 cnf('0.556.0.2',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(X3,inverse(X1))),multiply(X2,multiply(X3,commutator(X1,X3))))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.1','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.556.0.3',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(inverse(multiply(multiply(X3,inverse(X1)),multiply(X1,X2))),multiply(X2,multiply(X3,commutator(X1,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.2','0.29.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.556.0.4',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(inverse(multiply(X3,multiply(inverse(X1),multiply(X1,X2)))),multiply(X2,multiply(X3,commutator(X1,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.3','0.2.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1.1','L')]).
% 1.44/1.87 cnf('0.556.0.5',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))),multiply(X2,multiply(X3,commutator(X1,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.4','0.31.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.556.0.6',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(multiply(inverse(X2),inverse(X3)),multiply(X2,multiply(X3,commutator(X1,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.5','0.99.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.556.0.7',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(inverse(multiply(X3,X2)),multiply(X2,multiply(X3,commutator(X1,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.6','0.25.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.1','L')]).
% 1.44/1.87 cnf('0.556.0.8',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(commutator(X2,X3),commutator(X1,X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.0.7','0.157.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.556.1.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,X2),multiply(X3,commutator(X1,X3))) = multiply(commutator(X2,X3),commutator(X1,X3)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.556.0.8']),
% 1.44/1.87 [weight('<9,514,121,[1,0,0,7]>')]).
% 1.44/1.87 cnf('0.556.1.1',plain,
% 1.44/1.87 ( commutator(multiply(X2,X1),X3) = multiply(commutator(X2,X3),commutator(X1,X3)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.556.1.0','0.552.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.556.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X3,X2)) = commutator(multiply(X1,X3),X2) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.556.1.1',theory(equality)]),
% 1.44/1.87 [x,rule_522]).
% 1.44/1.87 cnf('0.559.0.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),inverse(commutator(X3,X1))) = inverse(commutator(multiply(X3,X2),X1)) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.41.2.0','0.556.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.1','L')]).
% 1.44/1.87 cnf('0.559.0.1',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X1,X3)) = inverse(commutator(multiply(X3,X2),X1)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.559.0.0','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.559.0.2',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X1,X3)) = commutator(X1,multiply(X3,X2)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.559.0.1','0.33.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.559.1.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X1,X3)) = commutator(X1,multiply(X3,X2)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.559.0.2']),
% 1.44/1.87 [weight('<7,556,41,[0,0,0,1]>')]).
% 1.44/1.87 cnf('0.559.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,X2),commutator(X1,X3)) = commutator(X1,multiply(X3,X2)) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.559.1.0',theory(equality)]),
% 1.44/1.87 [u,rule_525]).
% 1.44/1.87 cnf('0.560.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,X3),commutator(X2,X1))) = multiply(commutator(X2,multiply(X1,X3)),X1) ),
% 1.44/1.87 inference(interreduction_right,[status(thm)],['0.482.2.0'])).
% 1.44/1.87 cnf('0.560.0.1',plain,
% 1.44/1.87 ( multiply(X1,commutator(X2,multiply(X1,X3))) = multiply(commutator(X2,multiply(X1,X3)),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.560.0.0','0.559.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.560.1.0',plain,
% 1.44/1.87 ( multiply(X1,commutator(X2,multiply(X1,X3))) = multiply(commutator(X2,multiply(X1,X3)),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.560.0.1']),
% 1.44/1.87 [weight('<7,482,559,[0,0,0,0]>')]).
% 1.44/1.87 cnf('0.560.2.0',plain,
% 1.44/1.87 ( multiply(commutator(X1,multiply(X2,X3)),X2) = multiply(X2,commutator(X1,multiply(X2,X3))) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.560.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_526]).
% 1.44/1.87 cnf('0.574.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,multiply(X1,X3)),commutator(X1,X4))) = multiply(commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)),multiply(X1,commutator(X2,multiply(X1,X3)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.375.2.0','0.560.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.574.0.1',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,multiply(X1,X3)),commutator(X1,X4))) = multiply(X1,multiply(commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)),commutator(X2,multiply(X1,X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.574.0.0','0.72.2.0',theory(equality)]),
% 1.44/1.87 [pos('R','L')]).
% 1.44/1.87 cnf('0.574.0.2',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,multiply(X1,X3)),commutator(X1,X4))) = multiply(X1,multiply(commutator(X2,multiply(X1,X3)),commutator(X1,multiply(commutator(X2,multiply(X1,X3)),X4)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.574.0.1','0.560.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.574.0.3',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,multiply(X1,X3)),commutator(X1,X4))) = multiply(X1,multiply(commutator(X2,multiply(X1,X3)),commutator(X1,multiply(commutator(X2,X3),X4)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.574.0.2','0.407.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.574.1.0',plain,
% 1.44/1.87 ( commutator(X1,X4) = commutator(X1,multiply(commutator(X2,X3),X4)) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.574.0.3']),
% 1.44/1.87 [weight('<7,560,375,[0,0,0,6]>')]).
% 1.44/1.87 cnf('0.574.2.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),X4)) = commutator(X1,X4) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.574.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_537]).
% 1.44/1.87 cnf('0.575.0.0',plain,
% 1.44/1.87 ( commutator(X1,multiply(commutator(X2,X3),inverse(X4))) = commutator(multiply(X4,commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(interreduction_right,[status(thm)],['0.119.2.0'])).
% 1.44/1.87 cnf('0.575.0.1',plain,
% 1.44/1.87 ( commutator(X1,inverse(X4)) = commutator(multiply(X4,commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.575.0.0','0.574.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.575.0.2',plain,
% 1.44/1.87 ( commutator(X4,X1) = commutator(multiply(X4,commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.575.0.1','0.76.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','L')]).
% 1.44/1.87 cnf('0.575.1.0',plain,
% 1.44/1.87 ( commutator(X4,X1) = commutator(multiply(X4,commutator(X3,X2)),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.575.0.2']),
% 1.44/1.87 [weight('<7,119,574,[0,0,0,0]>')]).
% 1.44/1.87 cnf('0.575.2.0',plain,
% 1.44/1.87 ( commutator(multiply(X1,commutator(X2,X3)),X4) = commutator(X1,X4) ),
% 1.44/1.87 inference(orient,[status(thm)],['0.575.1.0',theory(equality)]),
% 1.44/1.87 [x,rule_538]).
% 1.44/1.87 cnf('0.605.0.0',plain,
% 1.44/1.87 ( multiply(X1,multiply(commutator(X2,X3),commutator(X1,commutator(X2,X3)))) = multiply(commutator(X2,X3),multiply(X1,commutator(X1,commutator(multiply(X2,X2),X3)))) ),
% 1.44/1.87 inference(cp,[status(thm)],['0.304.2.0','0.556.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2.2.2','L')]).
% 1.44/1.87 cnf('0.605.0.1',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(X2,commutator(X2,X1)),X3)) = multiply(commutator(X2,X3),multiply(X1,commutator(X1,commutator(multiply(X2,X2),X3)))) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.605.0.0','0.506.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.605.0.2',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(X2,commutator(X2,X1)),X3)) = multiply(commutator(X2,X3),multiply(X1,identity)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.605.0.1','0.243.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2.2','L')]).
% 1.44/1.87 cnf('0.605.0.3',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(X2,commutator(X2,X1)),X3)) = multiply(commutator(X2,X3),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.605.0.2','0.17.2.0',theory(equality)]),
% 1.44/1.87 [pos('R.2','L')]).
% 1.44/1.87 cnf('0.605.1.0',plain,
% 1.44/1.87 ( multiply(X1,commutator(multiply(X2,commutator(X2,X1)),X3)) = multiply(commutator(X2,X3),X1) ),
% 1.44/1.87 inference(weigh,[status(thm)],['0.605.0.3']),
% 1.44/1.87 [weight('<9,556,304,[0,0,0,6]>')]).
% 1.44/1.87 cnf('0.605.1.1',plain,
% 1.44/1.87 ( multiply(X1,commutator(X2,X3)) = multiply(commutator(X2,X3),X1) ),
% 1.44/1.87 inference(reduction,[status(thm)],['0.605.1.0','0.575.2.0',theory(equality)]),
% 1.44/1.87 [pos('L.2','L')]).
% 1.44/1.87 cnf('0.605.2.0',plain,
% 1.44/1.87 ( multiply(X1,commutator(X2,X3)) = multiply(commutator(X2,X3),X1) ),
% 1.44/1.87 inference(activate,[status(thm)],['0.605.1.1']),
% 1.44/1.87 [equation_41]).
% 1.44/1.87 cnf('1.0.0.0',conjecture,
% 1.44/1.87 ( multiply(commutator(b,c),a) = multiply(a,commutator(b,c)) ),
% 1.44/1.87 file('/tmp/WALDMEISTER_7468_n012',conjecture_1)).
% 1.44/1.87 cnf('1.0.0.1',plain,
% 1.44/1.87 ( multiply(a,commutator(b,c)) = multiply(a,commutator(b,c)) ),
% 1.44/1.87 inference(reduction,[status(thm)],['1.0.0.0','0.605.2.0',theory(equality)]),
% 1.44/1.87 [pos('L','R')]).
% 1.44/1.87 cnf('1.0.0.2',plain,
% 1.44/1.87 ( $true ),
% 1.44/1.87 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.44/1.87 [conjecture_1]).
% 1.44/1.87
% 1.44/1.87 Proved Goals:
% 1.44/1.87 No. 1: multiply(commutator(b,c),a) ?= multiply(a,commutator(b,c)) joined, current: multiply(a,commutator(b,c)) = multiply(a,commutator(b,c))
% 1.44/1.87 1 goal was specified, which was proved.
% 1.44/1.87 % SZS output end CNFRefutation
% 1.44/1.87 #END OF PROOF
% 1.44/1.87
% 1.44/1.87 Problem WALDMEISTER_7468_n012
% 1.44/1.87 CPs.gen 241035
% 1.44/1.87 CPs.reexp 0
% 1.44/1.87 Select 5779
% 1.44/1.87 R 564
% 1.44/1.87 E 41
% 1.44/1.87 vsize 8.5M
% 1.44/1.87 rss 4.1M
% 1.44/1.87 process.time 0.882s
% 1.44/1.87 wallclock.time 0.882s
% 1.44/1.87 status S
% 1.44/1.87
% 1.44/1.87
% 1.44/1.87 Waldmeister states: Goal proved.
% 1.44/1.87 % SZS status Unsatisfiable
%------------------------------------------------------------------------------