TSTP Solution File: GRP121-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP121-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:24:31 EDT 2022
% Result : Unsatisfiable 0.61s 1.02s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP121-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 09:52:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) multiply(a,identity) ?=? a
% 0.58/0.99
% 0.58/0.99 Detected structure: Orkus
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.61/1.02 joined goal: 1 multiply(a,identity) ?= a to a
% 0.61/1.02 goal joined
% 0.61/1.02 % SZS status Unsatisfiable
% 0.61/1.02 #START OF PROOF
% 0.61/1.02 % SZS output start CNFRefutation
% 0.61/1.02 cnf('0.1.0.0',axiom,
% 0.61/1.02 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,X3))),multiply(X3,multiply(X3,X3)))) ),
% 0.61/1.02 file('/tmp/WALDMEISTER_20831_n023')).
% 0.61/1.02 cnf('0.1.1.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,X3))),multiply(X3,multiply(X3,X3)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.1.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_1]).
% 0.61/1.02 cnf('0.2.0.0',axiom,
% 0.61/1.02 ( multiply(identity,identity) = identity ),
% 0.61/1.02 file('/tmp/WALDMEISTER_20831_n023')).
% 0.61/1.02 cnf('0.2.1.0',plain,
% 0.61/1.02 ( multiply(identity,identity) = identity ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.2.2.0',plain,
% 0.61/1.02 ( multiply(identity,identity) = identity ),
% 0.61/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_2]).
% 0.61/1.02 cnf('0.4.0.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),multiply(identity,identity))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.2','L')]).
% 0.61/1.02 cnf('0.4.0.1',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.4.1.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity))),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.61/1.02 [weight('<209,2,1,[0,0,0,14]>')]).
% 0.61/1.02 cnf('0.4.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,identity))),identity)) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_4]).
% 0.61/1.02 cnf('0.5.0.0',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.5.1.0',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.02 [weight('<155,4,2,[1,0,0,6]>')]).
% 0.61/1.02 cnf('0.5.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_5]).
% 0.61/1.02 cnf('0.6.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity))) = multiply(identity,multiply(multiply(identity,X1),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2','L')]).
% 0.61/1.02 cnf('0.6.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(X1,identity))) = multiply(identity,multiply(multiply(identity,X1),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.6.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.6.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(X1,identity))) = multiply(identity,multiply(multiply(identity,X1),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.61/1.02 [weight('<119,5,4,[1,0,0,5]>')]).
% 0.61/1.02 cnf('0.6.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,X1),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_6]).
% 0.61/1.02 cnf('0.7.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) = X1 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.61/1.02 cnf('0.7.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.7.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.7.0.1','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.7.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.7.0.2']),
% 0.61/1.02 [weight('<155,5,6,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.7.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_7]).
% 0.61/1.02 cnf('0.8.0.0',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.8.1.0',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.61/1.02 [weight('<271,2,1,[0,0,0,6]>')]).
% 0.61/1.02 cnf('0.8.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_8]).
% 0.61/1.02 cnf('0.9.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.9.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.9.0.0','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.9.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.9.0.1','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.9.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.9.0.2']),
% 0.61/1.02 [weight('<275,6,6,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.9.1.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.9.1.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.9.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 0.61/1.02 [u,rule_9]).
% 0.61/1.02 cnf('0.10.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity)),identity))) = multiply(identity,multiply(X1,identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.10.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,X1),identity),identity),identity)))) = multiply(identity,multiply(X1,identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.10.0.0','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.10.0.2',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.10.0.1','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.10.1.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.10.0.2']),
% 0.61/1.02 [weight('<65,9,6,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.10.2.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_10]).
% 0.61/1.02 cnf('0.14.0.0',plain,
% 0.61/1.02 ( multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),multiply(identity,multiply(identity,identity)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.14.0.1',plain,
% 0.61/1.02 ( multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),multiply(identity,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.14.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.2','L')]).
% 0.61/1.02 cnf('0.14.0.2',plain,
% 0.61/1.02 ( multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.14.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.14.1.0',plain,
% 0.61/1.02 ( multiply(identity,X1) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(X1,identity)))),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.14.0.2']),
% 0.61/1.02 [weight('<303,10,1,[0,0,0,9]>')]).
% 0.61/1.02 cnf('0.14.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X2,identity)))),identity)) = multiply(identity,X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_14]).
% 0.61/1.02 cnf('0.15.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X1,identity)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),X1)),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.14.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.15.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),X1)),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.15.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1','L')]).
% 0.61/1.02 cnf('0.15.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),X1)),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.61/1.02 [weight('<251,14,4,[1,0,0,9]>')]).
% 0.61/1.02 cnf('0.15.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X2)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_15]).
% 0.61/1.02 cnf('0.16.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X1,X2))),multiply(X2,multiply(X2,X2))),identity)) = multiply(X1,identity) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.16.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),identity)) = multiply(X1,identity) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.16.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1.2.1','L')]).
% 0.61/1.02 cnf('0.16.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),identity)) = multiply(X1,identity) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.61/1.02 [weight('<377,10,1,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.16.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),identity)) = multiply(X1,identity) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_16]).
% 0.61/1.02 cnf('0.17.0.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(multiply(identity,multiply(X1,identity)),multiply(identity,multiply(identity,identity)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2','L')]).
% 0.61/1.02 cnf('0.17.0.1',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(multiply(identity,multiply(X1,identity)),multiply(identity,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.2','L')]).
% 0.61/1.02 cnf('0.17.0.2',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.17.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.17.0.3',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.17.0.2','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.17.1.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.17.0.3']),
% 0.61/1.02 [weight('<321,16,8,[0,0,0,5]>')]).
% 0.61/1.02 cnf('0.17.2.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_17]).
% 0.61/1.02 cnf('0.18.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.17.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.18.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.18.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.18.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.18.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.2','L')]).
% 0.61/1.02 cnf('0.18.0.3',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,identity)) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.18.0.2','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.18.0.4',plain,
% 0.61/1.02 ( multiply(identity,identity) = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.18.0.3','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.18.0.5',plain,
% 0.61/1.02 ( identity = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.18.0.4','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.18.1.0',plain,
% 0.61/1.02 ( identity = multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.18.0.5']),
% 0.61/1.02 [weight('<419,17,7,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.18.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) = identity ),
% 0.61/1.02 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_18]).
% 0.61/1.02 cnf('0.20.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X1,X2))),identity),identity))) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.17.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.20.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(identity,identity),multiply(X1,X2)),identity)),identity))) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.20.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1','L')]).
% 0.61/1.02 cnf('0.20.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(X1,X2)),identity),identity)))) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.20.0.1','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.20.0.3',plain,
% 0.61/1.02 ( multiply(multiply(identity,identity),multiply(X1,X2)) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.20.0.2','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.20.0.4',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,X2)) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.20.0.3','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.20.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,X2)) = multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.20.0.4']),
% 0.61/1.02 [weight('<593,17,1,[1,0,0,3]>')]).
% 0.61/1.02 cnf('0.20.2.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(X1,X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_20]).
% 0.61/1.02 cnf('0.22.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.20.2.0','0.17.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.22.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.61/1.02 [weight('<321,20,17,[1,0,0,0]>')]).
% 0.61/1.02 cnf('0.22.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_22]).
% 0.61/1.02 cnf('0.24.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.20.2.0','0.22.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.24.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.24.0.0','0.20.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.24.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.61/1.02 [weight('<431,22,20,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.24.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),X3)) = multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_24]).
% 0.61/1.02 cnf('0.25.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,X1)) = multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.20.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.25.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,X1)) = multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.61/1.02 [weight('<499,20,2,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.25.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(identity,X1)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_25]).
% 0.61/1.02 cnf('0.26.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X3))),multiply(X3,multiply(X3,X3))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.17.2.0','0.24.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.26.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(X1,identity),identity)),identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.26.0.0','0.17.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.26.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity)),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.26.0.1','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.1','L')]).
% 0.61/1.02 cnf('0.26.0.3',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,identity),identity),identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.26.0.2','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.26.0.4',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(X1,identity),identity) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.26.0.3','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.26.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(X1,identity),identity) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.26.0.4']),
% 0.61/1.02 [weight('<499,24,17,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.26.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity),identity))) = multiply(multiply(X1,identity),identity) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_26]).
% 0.61/1.02 cnf('0.27.0.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.26.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.27.1.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.61/1.02 [weight('<227,26,7,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.27.2.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_27]).
% 0.61/1.02 cnf('0.29.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(multiply(identity,multiply(identity,X1)),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.20.2.0','0.25.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.29.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(identity,multiply(multiply(identity,X1),X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.29.0.0','0.20.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.29.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(identity,multiply(multiply(identity,X1),X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.61/1.02 [weight('<637,25,20,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.29.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),X2)) = multiply(identity,multiply(multiply(identity,X1),X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_29]).
% 0.61/1.02 cnf('0.30.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X1,X2))),multiply(X2,multiply(X2,X2))),X3)) = multiply(X1,multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.20.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.30.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))),X3)) = multiply(X1,multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.30.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1.2.1','L')]).
% 0.61/1.02 cnf('0.30.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X3)) = multiply(X1,multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.30.0.1','0.17.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.30.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X3)) = multiply(X1,multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.30.0.2']),
% 0.61/1.02 [weight('<659,20,1,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.30.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_30]).
% 0.61/1.02 cnf('0.31.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))) = multiply(X3,multiply(multiply(X3,multiply(multiply(X3,X3),multiply(identity,multiply(multiply(X1,identity),identity)))),multiply(X2,multiply(X2,X2)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.31.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))) = multiply(X3,multiply(multiply(X3,multiply(multiply(X3,X3),multiply(identity,multiply(multiply(X1,identity),identity)))),multiply(X2,multiply(X2,X2)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.61/1.02 [weight('<681,27,1,[0,0,0,9]>')]).
% 0.61/1.02 cnf('0.31.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(multiply(X2,identity),identity)))),multiply(X3,multiply(X3,X3)))) = multiply(identity,multiply(X2,multiply(X3,multiply(X3,X3)))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_31]).
% 0.61/1.02 cnf('0.32.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,multiply(identity,identity)))),multiply(X1,multiply(X1,X1)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.31.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.2.2.1','L')]).
% 0.61/1.02 cnf('0.32.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),multiply(identity,identity))),multiply(X1,multiply(X1,X1)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.32.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1.2.2.2','L')]).
% 0.61/1.02 cnf('0.32.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(X1,multiply(X1,X1)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.32.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.32.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(X1,multiply(X1,X1)))) = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(X1,multiply(X1,X1)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.32.0.2']),
% 0.61/1.02 [weight('<399,31,2,[1,0,0,12]>')]).
% 0.61/1.02 cnf('0.32.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(X2,multiply(X2,X2)))) = multiply(identity,multiply(identity,multiply(X2,multiply(X2,X2)))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_32]).
% 0.61/1.02 cnf('0.34.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.32.2.0','0.30.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.34.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))),X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.34.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))),X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.34.0.1','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.34.0.3',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,identity))),X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.34.0.2','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1.2.2.2','L')]).
% 0.61/1.02 cnf('0.34.0.4',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,identity)),X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.34.0.3','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.34.0.5',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,identity),X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.34.0.4','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1.2','L')]).
% 0.61/1.02 cnf('0.34.0.6',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.34.0.5','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1','L')]).
% 0.61/1.02 cnf('0.34.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,X1))) = multiply(X2,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X2,multiply(multiply(X2,X2),identity)),identity),identity))),X1))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.34.0.6']),
% 0.61/1.02 [weight('<637,32,30,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.34.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),identity))),X2))) = multiply(identity,multiply(identity,multiply(identity,X2))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_34]).
% 0.61/1.02 cnf('0.36.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),multiply(X2,multiply(X2,X2))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.17.2.0','0.29.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.36.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.36.0.0','0.17.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.36.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.36.0.1','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.1','L')]).
% 0.61/1.02 cnf('0.36.0.3',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.36.0.2','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.36.0.4',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.36.0.3','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.36.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = X1 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.36.0.4']),
% 0.61/1.02 [weight('<701,29,17,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.36.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity),identity))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_36]).
% 0.61/1.02 cnf('0.37.0.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,X1) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.36.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.37.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.61/1.02 [weight('<377,36,7,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.37.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_37]).
% 0.61/1.02 cnf('0.39.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 0.61/1.02 cnf('0.39.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.39.0.0','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.39.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.39.0.1']),
% 0.61/1.02 [weight('<265,30,37,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.39.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) = multiply(X1,multiply(identity,X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_39]).
% 0.61/1.02 cnf('0.40.0.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X1,identity)),identity))),X2)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.39.2.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.2.1','L')]).
% 0.61/1.02 cnf('0.40.0.1',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))),X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.40.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.40.0.2',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.40.0.1','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1','L')]).
% 0.61/1.02 cnf('0.40.1.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.40.0.2']),
% 0.61/1.02 [weight('<103,39,10,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.40.2.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_40]).
% 0.61/1.02 cnf('0.41.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),identity),identity)) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.27.2.0','0.39.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.41.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),identity)),identity)) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.41.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.41.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(X1,identity),identity)),identity),identity))) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.41.0.1','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.41.0.3',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity)),identity))) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.41.0.2','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1','L')]).
% 0.61/1.02 cnf('0.41.0.4',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X1,identity),identity),identity),identity)))) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.41.0.3','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.41.0.5',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),identity) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.41.0.4','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.41.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),identity) = multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.41.0.5']),
% 0.61/1.02 [weight('<203,39,27,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.41.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = multiply(multiply(X1,identity),identity) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_41]).
% 0.61/1.02 cnf('0.42.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X2,X3))),multiply(X3,multiply(X3,X3))))) = multiply(multiply(identity,X1),X2) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.40.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.42.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(multiply(identity,multiply(identity,multiply(X2,X3))),multiply(X3,multiply(X3,X3))))) = multiply(multiply(identity,X1),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.42.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.42.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,X1),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.42.0.1','0.17.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.42.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,X1),X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.42.0.2']),
% 0.61/1.02 [weight('<265,40,1,[1,0,0,4]>')]).
% 0.61/1.02 cnf('0.42.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,X1),X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_42]).
% 0.61/1.02 cnf('0.44.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),identity))),X2))) = multiply(identity,multiply(identity,multiply(identity,X2))) ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.61/1.02 cnf('0.44.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(identity,X2))) = multiply(identity,multiply(identity,multiply(identity,X2))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.44.0.0','0.39.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.44.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(identity,X2))) = multiply(identity,multiply(identity,multiply(identity,X2))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.61/1.02 [weight('<293,34,39,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.44.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),multiply(identity,X2))) = multiply(identity,multiply(identity,multiply(identity,X2))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_44]).
% 0.61/1.02 cnf('0.45.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))))) = multiply(X3,multiply(multiply(X3,multiply(multiply(X3,X3),identity)),X1)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.44.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.45.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,X1)) = multiply(X3,multiply(multiply(X3,multiply(multiply(X3,X3),identity)),X1)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.45.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.45.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,X1)) = multiply(X3,multiply(multiply(X3,multiply(multiply(X3,X3),identity)),X1)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.61/1.02 [weight('<203,44,1,[1,0,0,10]>')]).
% 0.61/1.02 cnf('0.45.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),X2)) = multiply(identity,multiply(identity,X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_45]).
% 0.61/1.02 cnf('0.48.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(identity,X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X2))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.39.2.0','0.40.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.48.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(identity,X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X2))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.61/1.02 [weight('<293,40,39,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.48.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),X2))) = multiply(X1,multiply(identity,multiply(identity,X2))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_48]).
% 0.61/1.02 cnf('0.49.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.27.2.0','0.48.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.49.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.49.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,identity)) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.49.0.3',plain,
% 0.61/1.02 ( multiply(identity,identity) = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.2','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.49.0.4',plain,
% 0.61/1.02 ( identity = multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,identity),identity)),multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.3','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.49.0.5',plain,
% 0.61/1.02 ( identity = multiply(multiply(X1,multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))))),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.4','0.48.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.1.2','L')]).
% 0.61/1.02 cnf('0.49.0.6',plain,
% 0.61/1.02 ( identity = multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.49.0.5','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.1.2.2','L')]).
% 0.61/1.02 cnf('0.49.1.0',plain,
% 0.61/1.02 ( identity = multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.49.0.6']),
% 0.61/1.02 [weight('<209,48,27,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.49.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) = identity ),
% 0.61/1.02 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_49]).
% 0.61/1.02 cnf('0.52.0.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,multiply(X2,X2))),multiply(multiply(identity,multiply(X2,multiply(X2,X2))),multiply(identity,multiply(X2,multiply(X2,X2))))))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.41.2.0','0.41.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.52.0.1',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,multiply(X2,X2))),multiply(identity,multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.52.0.0','0.40.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2.2.2','L')]).
% 0.61/1.02 cnf('0.52.0.2',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.52.0.1','0.40.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2.2','L')]).
% 0.61/1.02 cnf('0.52.0.3',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.52.0.2','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2.2.2','L')]).
% 0.61/1.02 cnf('0.52.1.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.52.0.3']),
% 0.61/1.02 [weight('<293,41,41,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.52.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_52]).
% 0.61/1.02 cnf('0.53.0.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3)))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2','L')]).
% 0.61/1.02 cnf('0.53.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(multiply(X3,multiply(X3,X3)),multiply(multiply(X3,multiply(X3,X3)),multiply(X3,multiply(X3,X3)))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.61/1.02 [weight('<?,1,1,[0,0,0,5]>')]).
% 0.61/1.02 cnf('0.53.1.1',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(identity,X3))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.53.1.0','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.53.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,X3))) = multiply(X1,multiply(multiply(X1,X2),multiply(identity,X3))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.61/1.02 [u,rule_53]).
% 0.61/1.02 cnf('0.54.0.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.52.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2','L')]).
% 0.61/1.02 cnf('0.54.1.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.61/1.02 [weight('<227,52,7,[1,0,0,4]>')]).
% 0.61/1.02 cnf('0.54.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_54]).
% 0.61/1.02 cnf('0.55.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) = identity ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 0.61/1.02 cnf('0.55.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,X1),identity),identity))) = identity ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.55.0.0','0.54.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.55.0.2',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.55.0.1','0.54.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.55.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.55.0.2']),
% 0.61/1.02 [weight('<155,18,54,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.55.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity ),
% 0.61/1.02 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_55]).
% 0.61/1.02 cnf('0.56.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,identity))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(identity,multiply(X2,identity)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.53.2.0','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.56.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(identity,multiply(X2,identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.56.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.56.0.2',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.56.0.1','0.53.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.56.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,identity)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.56.0.2']),
% 0.61/1.02 [weight('<251,53,10,[1,0,0,12]>')]).
% 0.61/1.02 cnf('0.56.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,identity)))) = multiply(X1,multiply(multiply(X1,multiply(identity,X2)),identity)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_56]).
% 0.61/1.02 cnf('0.57.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity))))),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,multiply(identity,identity)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.56.2.0','0.39.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.57.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,X2),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,multiply(identity,identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.57.0.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2','L')]).
% 0.61/1.02 cnf('0.57.0.2',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,X2),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.57.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.2','L')]).
% 0.61/1.02 cnf('0.57.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,X2),identity)) = multiply(X1,multiply(multiply(X1,identity),multiply(X2,identity))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.57.0.2']),
% 0.61/1.02 [weight('<169,56,39,[1,0,0,6]>')]).
% 0.61/1.02 cnf('0.57.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(X2,identity))) = multiply(X1,multiply(multiply(X1,X2),identity)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_57]).
% 0.61/1.02 cnf('0.58.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(X2,multiply(identity,multiply(identity,multiply(multiply(X3,identity),identity))))))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(multiply(identity,X2),X3))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.53.2.0','0.42.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.58.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(multiply(identity,X2),X3))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.58.0.0','0.42.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.58.0.2',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))) = multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.58.0.1','0.53.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.58.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))) = multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.58.0.2']),
% 0.61/1.02 [weight('<275,53,42,[1,0,0,12]>')]).
% 0.61/1.02 cnf('0.58.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3))) = multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_58]).
% 0.61/1.02 cnf('0.60.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X2,identity),identity)))))) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.53.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.60.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),X2)) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.60.0.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.60.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),X2)) = multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.61/1.02 [weight('<293,53,7,[1,0,0,12]>')]).
% 0.61/1.02 cnf('0.60.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),X2)) = multiply(X1,multiply(multiply(X1,identity),X2)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_60]).
% 0.61/1.02 cnf('0.63.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),X2)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.48.2.0','0.40.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.63.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),X2)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.61/1.02 [weight('<321,48,40,[1,0,0,4]>')]).
% 0.61/1.02 cnf('0.63.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),X2)))) = multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_63]).
% 0.61/1.02 cnf('0.66.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,X1),multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.58.2.0','0.42.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.66.0.1',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(multiply(identity,X1),multiply(identity,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.66.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.66.0.2',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.66.0.1','0.40.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.66.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.66.0.2']),
% 0.61/1.02 [weight('<321,58,42,[1,0,0,0]>')]).
% 0.61/1.02 cnf('0.66.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X2,identity),identity))))) = multiply(multiply(identity,multiply(identity,multiply(identity,X1))),X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_66]).
% 0.61/1.02 cnf('0.67.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,identity),X1)),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.15.2.0','0.60.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.67.1.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,identity),X1)),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.67.0.0']),
% 0.61/1.02 [weight('<321,60,15,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.67.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,identity),X2)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_67]).
% 0.61/1.02 cnf('0.68.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X1),identity)),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.67.2.0','0.57.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.68.0.1',plain,
% 0.61/1.02 ( X1 = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X1),identity)),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.68.0.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.68.1.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X1),identity)),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.61/1.02 [weight('<209,67,57,[1,0,0,5]>')]).
% 0.61/1.02 cnf('0.68.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,X2),identity)),identity)) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_68]).
% 0.61/1.02 cnf('0.69.0.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),identity)),identity)),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.68.2.0','0.57.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.69.0.1',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X2),identity) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.69.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X2),identity) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.61/1.02 [weight('<103,68,57,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.69.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,identity)) = multiply(multiply(X1,X2),identity) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_69]).
% 0.61/1.02 cnf('0.74.0.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,identity)),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.68.2.0','0.55.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.74.0.1',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.74.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1.2','L')]).
% 0.61/1.02 cnf('0.74.1.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.74.0.1']),
% 0.61/1.02 [weight('<189,68,55,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.74.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_74]).
% 0.61/1.02 cnf('0.75.0.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3))),identity)),identity)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.68.2.0','0.58.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.75.0.1',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.75.0.0','0.68.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.75.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.75.0.1']),
% 0.61/1.02 [weight('<189,68,58,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.75.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(identity,X2)),multiply(identity,X3)) = multiply(multiply(X1,identity),multiply(multiply(identity,X2),X3)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_75]).
% 0.61/1.02 cnf('0.76.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(X1,X1)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.74.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.2','L')]).
% 0.61/1.02 cnf('0.76.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(X1,X1)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,X1)))),X1) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.76.0.0','0.66.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.76.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(X1,X1)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,X1)))),X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.61/1.02 [weight('<203,74,7,[0,0,0,6]>')]).
% 0.61/1.02 cnf('0.76.2.0',plain,
% 0.61/1.02 ( multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,X1)))),X1) = multiply(X1,multiply(X1,X1)) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_76]).
% 0.61/1.02 cnf('0.78.0.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))),X4)) = multiply(multiply(X1,X2),multiply(identity,X4)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.75.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2','L')]).
% 0.61/1.02 cnf('0.78.0.1',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,X4)) = multiply(multiply(X1,X2),multiply(identity,X4)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.78.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.78.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,X4)) = multiply(multiply(X1,X2),multiply(identity,X4)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.78.0.1']),
% 0.61/1.02 [weight('<224,75,1,[1,0,0,3]>')]).
% 0.61/1.02 cnf('0.78.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(identity,X3)) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.78.1.0']),
% 0.61/1.02 [equation_1]).
% 0.61/1.02 cnf('0.80.0.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) = identity ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 0.61/1.02 cnf('0.80.1.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,multiply(X1,X1)),multiply(identity,multiply(multiply(X1,identity),identity))) = identity ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.61/1.02 [weight('<209,49,78,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.80.1.1',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))) = identity ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.80.1.0','0.78.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','R')]).
% 0.61/1.02 cnf('0.80.2.0',plain,
% 0.61/1.02 ( multiply(multiply(X1,identity),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))) = identity ),
% 0.61/1.02 inference(orient,[status(thm)],['0.80.1.1',theory(equality)]),
% 0.61/1.02 [u,rule_79]).
% 0.61/1.02 cnf('0.81.0.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),multiply(X1,identity)),multiply(multiply(multiply(X1,identity),identity),identity)))))) = multiply(identity,multiply(identity,multiply(identity,identity))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.63.2.0','0.80.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.2','L')]).
% 0.61/1.02 cnf('0.81.0.1',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),multiply(X1,identity))))),multiply(X1,identity))) = multiply(identity,multiply(identity,multiply(identity,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.0','0.66.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.81.0.2',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))) = multiply(identity,multiply(identity,multiply(identity,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.1','0.76.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.81.0.3',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,identity),multiply(multiply(X1,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.2','0.69.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.81.0.4',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.3','0.69.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.81.0.5',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(identity,multiply(identity,identity)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.4','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.81.0.6',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = multiply(identity,identity) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.5','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.81.0.7',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = identity ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.81.0.6','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.81.1.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = identity ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.81.0.7']),
% 0.61/1.02 [weight('<109,80,63,[0,0,0,6]>')]).
% 0.61/1.02 cnf('0.81.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(multiply(X1,multiply(X1,X1)),identity)) = identity ),
% 0.61/1.02 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_80]).
% 0.61/1.02 cnf('0.83.0.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X2),identity)),multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(X1,multiply(X1,X1)),identity))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.81.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.2','L')]).
% 0.61/1.02 cnf('0.83.0.1',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(X1,multiply(X1,X1)),identity))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.83.0.0','0.45.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.83.0.2',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))),identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.83.0.1','0.69.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.2','L')]).
% 0.61/1.02 cnf('0.83.0.3',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(identity,multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.83.0.2','0.69.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.83.0.4',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(identity,multiply(multiply(identity,X1),identity))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.83.0.3','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2.1','L')]).
% 0.61/1.02 cnf('0.83.0.5',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.83.0.4','0.10.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','L')]).
% 0.61/1.02 cnf('0.83.1.0',plain,
% 0.61/1.02 ( X1 = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.83.0.5']),
% 0.61/1.02 [weight('<109,81,1,[0,0,0,9]>')]).
% 0.61/1.02 cnf('0.83.2.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_82]).
% 0.61/1.02 cnf('0.84.0.0',plain,
% 0.61/1.02 ( multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.61/1.02 cnf('0.84.0.1',plain,
% 0.61/1.02 ( multiply(X1,identity) = X1 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.84.0.0','0.83.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.84.1.0',plain,
% 0.61/1.02 ( multiply(X1,identity) = X1 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.84.0.1']),
% 0.61/1.02 [weight('<19,7,83,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.84.2.0',plain,
% 0.61/1.02 ( multiply(X1,identity) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_83]).
% 0.61/1.02 cnf('1.0.0.0',conjecture,
% 0.61/1.02 ( multiply(a,identity) = a ),
% 0.61/1.02 file('/tmp/WALDMEISTER_20831_n023',conjecture_1)).
% 0.61/1.02 cnf('1.0.0.1',plain,
% 0.61/1.02 ( a = a ),
% 0.61/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.84.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('1.0.0.2',plain,
% 0.61/1.02 ( $true ),
% 0.61/1.02 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.61/1.02 [conjecture_1]).
% 0.61/1.02
% 0.61/1.02 Proved Goals:
% 0.61/1.02 No. 1: multiply(a,identity) ?= a joined, current: a = a
% 0.61/1.02 1 goal was specified, which was proved.
% 0.61/1.02 % SZS output end CNFRefutation
% 0.61/1.02 #END OF PROOF
% 0.61/1.02
% 0.61/1.02 Problem WALDMEISTER_20831_n023
% 0.61/1.02 CPs.gen 2580
% 0.61/1.02 CPs.reexp 0
% 0.61/1.02 Select 111
% 0.61/1.02 R 83
% 0.61/1.02 E 1
% 0.61/1.02 vsize 6.4M
% 0.61/1.02 rss 3.7M
% 0.61/1.02 process.time 0.034s
% 0.61/1.02 wallclock.time 0.034s
% 0.61/1.02 status S
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Waldmeister states: Goal proved.
% 0.61/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------