TSTP Solution File: GRP203-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 12:25:23 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14 % Command : woody %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 11:40:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.58/1.00 ********************************************************************************
% 0.58/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/1.00 * |/ | \/ | *
% 0.58/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/1.00 * A. Jaeger and B. Loechner | | *
% 0.58/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/1.00 ********************************************************************************
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 Goals:
% 0.58/1.00 ------
% 0.58/1.00
% 0.58/1.00 ( 1) multiply(multiply(multiply(a,b),c),b) ?=? multiply(a,multiply(b,multiply(c,b)))
% 0.58/1.00
% 0.58/1.00 Detected structure: Orkus
% 0.58/1.00 ********************************************************************************
% 0.58/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.58/1.00 ********************************************************************************
% 0.58/1.00
% 0.71/1.11 joined goal: 1 multiply(multiply(multiply(a,b),c),b) ?= multiply(a,multiply(b,multiply(c,b))) to multiply(a,multiply(b,multiply(c,b)))
% 0.71/1.11 goal joined
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11 #START OF PROOF
% 0.71/1.11 % SZS output start CNFRefutation
% 0.71/1.11 cnf('0.1.0.0',axiom,
% 0.71/1.11 ( X1 = multiply(identity,X1) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_26120_n028')).
% 0.71/1.11 cnf('0.1.1.0',plain,
% 0.71/1.11 ( X1 = multiply(identity,X1) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.71/1.11 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.71/1.11 cnf('0.1.2.0',plain,
% 0.71/1.11 ( multiply(identity,X1) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_1]).
% 0.71/1.11 cnf('0.2.0.0',axiom,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(multiply(X1,X2),X1),X3) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_26120_n028')).
% 0.71/1.11 cnf('0.2.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(multiply(X1,X2),X1),X3) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.71/1.11 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.71/1.11 cnf('0.2.2.0',plain,
% 0.71/1.11 ( multiply(multiply(multiply(X1,X2),X1),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_2]).
% 0.71/1.11 cnf('0.3.0.0',axiom,
% 0.71/1.11 ( multiply(left_inverse(X1),X1) = identity ),
% 0.71/1.11 file('/tmp/WALDMEISTER_26120_n028')).
% 0.71/1.11 cnf('0.3.1.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),X1) = identity ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.71/1.11 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.3.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),X1) = identity ),
% 0.71/1.11 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_3]).
% 0.71/1.11 cnf('0.4.0.0',plain,
% 0.71/1.11 ( multiply(identity,multiply(X1,multiply(identity,X2))) = multiply(multiply(X1,identity),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.1','L')]).
% 0.71/1.11 cnf('0.4.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(identity,X2)) = multiply(multiply(X1,identity),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.4.0.2',plain,
% 0.71/1.11 ( multiply(X1,X2) = multiply(multiply(X1,identity),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.4.0.1','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.4.1.0',plain,
% 0.71/1.11 ( multiply(X1,X2) = multiply(multiply(X1,identity),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.4.0.2']),
% 0.71/1.11 [weight('<53,2,1,[1,0,0,2]>')]).
% 0.71/1.11 cnf('0.4.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,identity),X2) = multiply(X1,X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_4]).
% 0.71/1.11 cnf('0.6.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(identity,multiply(X1,X2))) = multiply(multiply(X1,X1),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.2.2.0','0.4.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.6.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.6.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X1,X2)) = multiply(multiply(X1,X1),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.71/1.11 [weight('<65,4,2,[0,0,0,1]>')]).
% 0.71/1.11 cnf('0.6.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_6]).
% 0.71/1.11 cnf('0.12.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X2))) = multiply(multiply(identity,left_inverse(X1)),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.1','L')]).
% 0.71/1.11 cnf('0.12.0.1',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X2))) = multiply(left_inverse(X1),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.1','L')]).
% 0.71/1.11 cnf('0.12.1.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X2))) = multiply(left_inverse(X1),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.71/1.11 [weight('<139,3,2,[0,0,0,2]>')]).
% 0.71/1.11 cnf('0.12.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X2))) = multiply(left_inverse(X1),X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_12]).
% 0.71/1.11 cnf('0.13.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),X1) = multiply(left_inverse(X1),multiply(X1,identity)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2.2','L')]).
% 0.71/1.11 cnf('0.13.0.1',plain,
% 0.71/1.11 ( identity = multiply(left_inverse(X1),multiply(X1,identity)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.13.0.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.13.1.0',plain,
% 0.71/1.11 ( identity = multiply(left_inverse(X1),multiply(X1,identity)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.71/1.11 [weight('<55,12,3,[1,0,0,5]>')]).
% 0.71/1.11 cnf('0.13.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(X1,identity)) = identity ),
% 0.71/1.11 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_13]).
% 0.71/1.11 cnf('0.16.0.0',plain,
% 0.71/1.11 ( multiply(multiply(multiply(X1,X2),X1),X3) = multiply(multiply(X1,multiply(X2,multiply(X1,identity))),X3) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.16.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,multiply(X1,identity))),X3) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.16.0.0','0.2.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.16.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,multiply(X1,identity))),X3) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.71/1.11 [weight('<169,4,2,[1,0,0,1]>')]).
% 0.71/1.11 cnf('0.16.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,multiply(X1,identity))),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_16]).
% 0.71/1.11 cnf('0.17.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(X1,X2))) = multiply(multiply(X1,identity),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.16.2.0','0.13.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','L')]).
% 0.71/1.11 cnf('0.17.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(X1,X2))) = multiply(X1,X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.17.0.0','0.4.2.0',theory(equality)]),
% 0.71/1.11 [pos('R','L')]).
% 0.71/1.11 cnf('0.17.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(X1,X2))) = multiply(X1,X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.71/1.11 [weight('<107,16,13,[1,0,0,3]>')]).
% 0.71/1.11 cnf('0.17.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(X1,X2))) = multiply(X1,X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_17]).
% 0.71/1.11 cnf('0.18.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),X1) = multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.17.2.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2.2','L')]).
% 0.71/1.11 cnf('0.18.0.1',plain,
% 0.71/1.11 ( identity = multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.18.0.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.18.1.0',plain,
% 0.71/1.11 ( identity = multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.71/1.11 [weight('<89,17,3,[1,0,0,5]>')]).
% 0.71/1.11 cnf('0.18.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)) = identity ),
% 0.71/1.11 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_18]).
% 0.71/1.11 cnf('0.29.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,X2),multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,multiply(X2,multiply(X1,identity)))),X3) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.16.2.0','0.6.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','L')]).
% 0.71/1.11 cnf('0.29.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X2,multiply(X1,X3)))) = multiply(multiply(X1,multiply(X2,multiply(X2,multiply(X1,identity)))),X3) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.29.0.0','0.6.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.29.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X2,multiply(X1,X3)))) = multiply(multiply(X1,multiply(X2,multiply(X2,multiply(X1,identity)))),X3) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.71/1.11 [weight('<251,16,6,[1,0,0,3]>')]).
% 0.71/1.11 cnf('0.29.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,multiply(X2,multiply(X1,identity)))),X3) = multiply(X1,multiply(X2,multiply(X2,multiply(X1,X3)))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_29]).
% 0.71/1.11 cnf('0.30.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(left_inverse(X1),multiply(X1,X2)))) = multiply(multiply(X1,multiply(left_inverse(X1),identity)),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.29.2.0','0.13.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2.2','L')]).
% 0.71/1.11 cnf('0.30.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(left_inverse(X1),multiply(X1,X2)))) = multiply(multiply(X1,multiply(left_inverse(X1),identity)),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.71/1.11 [weight('<239,29,13,[1,0,0,5]>')]).
% 0.71/1.11 cnf('0.30.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),multiply(left_inverse(X1),multiply(X1,X2)))) = multiply(multiply(X1,multiply(left_inverse(X1),identity)),X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_30]).
% 0.71/1.11 cnf('0.31.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),multiply(left_inverse(left_inverse(X1)),multiply(left_inverse(X1),X2)))) = multiply(left_inverse(X1),multiply(X1,multiply(multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)),X2))) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.12.2.0','0.30.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2.2','L')]).
% 0.71/1.11 cnf('0.31.0.1',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)),X2) = multiply(left_inverse(X1),multiply(X1,multiply(multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)),X2))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.31.0.2',plain,
% 0.71/1.11 ( multiply(identity,X2) = multiply(left_inverse(X1),multiply(X1,multiply(multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)),X2))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.31.0.1','0.18.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.31.0.3',plain,
% 0.71/1.11 ( X2 = multiply(left_inverse(X1),multiply(X1,multiply(multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)),X2))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.31.0.2','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.31.0.4',plain,
% 0.71/1.11 ( X2 = multiply(left_inverse(X1),multiply(X1,multiply(identity,X2))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.31.0.3','0.18.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.2.2.1','L')]).
% 0.71/1.11 cnf('0.31.0.5',plain,
% 0.71/1.11 ( X2 = multiply(left_inverse(X1),multiply(X1,X2)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.31.0.4','0.1.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.2.2','L')]).
% 0.71/1.11 cnf('0.31.1.0',plain,
% 0.71/1.11 ( X2 = multiply(left_inverse(X1),multiply(X1,X2)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.31.0.5']),
% 0.71/1.11 [weight('<55,30,12,[0,0,0,5]>')]).
% 0.71/1.11 cnf('0.31.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(X1),multiply(X1,X2)) = X2 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_31]).
% 0.71/1.11 cnf('0.32.0.0',plain,
% 0.71/1.11 ( X1 = multiply(left_inverse(left_inverse(X1)),identity) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.32.1.0',plain,
% 0.71/1.11 ( X1 = multiply(left_inverse(left_inverse(X1)),identity) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.71/1.11 [weight('<41,31,3,[1,0,0,3]>')]).
% 0.71/1.11 cnf('0.32.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(left_inverse(X1)),identity) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_32]).
% 0.71/1.11 cnf('0.33.0.0',plain,
% 0.71/1.11 ( multiply(X1,X2) = multiply(left_inverse(left_inverse(X1)),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.31.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.33.1.0',plain,
% 0.71/1.11 ( multiply(X1,X2) = multiply(left_inverse(left_inverse(X1)),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.71/1.11 [weight('<53,31,31,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.33.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(left_inverse(X1)),X2) = multiply(X1,X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_33]).
% 0.71/1.11 cnf('0.34.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(left_inverse(X1)),identity) = X1 ),
% 0.71/1.11 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.71/1.11 cnf('0.34.0.1',plain,
% 0.71/1.11 ( multiply(X1,identity) = X1 ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.34.0.0','0.33.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.34.1.0',plain,
% 0.71/1.11 ( multiply(X1,identity) = X1 ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.71/1.11 [weight('<19,32,33,[0,0,0,0]>')]).
% 0.71/1.11 cnf('0.34.2.0',plain,
% 0.71/1.11 ( multiply(X1,identity) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_34]).
% 0.71/1.11 cnf('0.35.0.0',plain,
% 0.71/1.11 ( left_inverse(left_inverse(X1)) = multiply(X1,identity) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.34.2.0','0.33.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.35.0.1',plain,
% 0.71/1.11 ( left_inverse(left_inverse(X1)) = X1 ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 0.71/1.11 [pos('R','L')]).
% 0.71/1.11 cnf('0.35.1.0',plain,
% 0.71/1.11 ( left_inverse(left_inverse(X1)) = X1 ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.71/1.11 [weight('<19,34,33,[1,0,0,0]>')]).
% 0.71/1.11 cnf('0.35.2.0',plain,
% 0.71/1.11 ( left_inverse(left_inverse(X1)) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_35]).
% 0.71/1.11 cnf('0.36.0.0',plain,
% 0.71/1.11 ( identity = multiply(X1,left_inverse(X1)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.3.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.36.1.0',plain,
% 0.71/1.11 ( identity = multiply(X1,left_inverse(X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.71/1.11 [weight('<29,35,3,[0,0,0,1]>')]).
% 0.71/1.11 cnf('0.36.2.0',plain,
% 0.71/1.11 ( multiply(X1,left_inverse(X1)) = identity ),
% 0.71/1.11 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_36]).
% 0.71/1.11 cnf('0.37.0.0',plain,
% 0.71/1.11 ( X1 = multiply(X2,multiply(left_inverse(X2),X1)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.37.1.0',plain,
% 0.71/1.11 ( X1 = multiply(X2,multiply(left_inverse(X2),X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.71/1.11 [weight('<55,35,31,[0,0,0,1]>')]).
% 0.71/1.11 cnf('0.37.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(left_inverse(X1),X2)) = X2 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_37]).
% 0.71/1.11 cnf('0.38.0.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,multiply(X1,identity))) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.34.2.0','0.2.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.38.0.1',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.38.0.0','0.34.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.2.2','L')]).
% 0.71/1.11 cnf('0.38.1.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.71/1.11 [weight('<65,34,2,[1,0,0,0]>')]).
% 0.71/1.11 cnf('0.38.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_38]).
% 0.71/1.11 cnf('0.44.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),X1)) = multiply(X2,X1) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.38.2.0','0.37.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.44.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),X1)) = multiply(X2,X1) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.71/1.11 [weight('<107,38,37,[1,0,0,1]>')]).
% 0.71/1.11 cnf('0.44.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),X1)) = multiply(X2,X1) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_44]).
% 0.71/1.11 cnf('0.45.0.0',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),X2),X1) = multiply(left_inverse(X1),multiply(X2,X1)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.44.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.45.1.0',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),X2),X1) = multiply(left_inverse(X1),multiply(X2,X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.71/1.11 [weight('<90,44,31,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.45.2.0',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),X2),X1) = multiply(left_inverse(X1),multiply(X2,X1)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_45]).
% 0.71/1.11 cnf('0.46.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(left_inverse(X1)),multiply(X2,left_inverse(X1))) = multiply(multiply(X1,X2),left_inverse(X1)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.45.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.1','L')]).
% 0.71/1.11 cnf('0.46.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,left_inverse(X1))) = multiply(multiply(X1,X2),left_inverse(X1)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.46.0.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.46.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,left_inverse(X1))) = multiply(multiply(X1,X2),left_inverse(X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.71/1.11 [weight('<90,45,35,[1,0,0,2]>')]).
% 0.71/1.11 cnf('0.46.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),left_inverse(X1)) = multiply(X1,multiply(X2,left_inverse(X1))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_46]).
% 0.71/1.11 cnf('0.50.0.0',plain,
% 0.71/1.11 ( multiply(multiply(multiply(X1,X2),X1),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.71/1.11 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.71/1.11 cnf('0.50.0.1',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.50.0.0','0.38.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.50.1.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.71/1.11 [weight('<119,2,38,[0,0,0,0]>')]).
% 0.71/1.11 cnf('0.50.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_50]).
% 0.71/1.11 cnf('0.51.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X1,left_inverse(X1)))) = multiply(X1,multiply(multiply(X2,X1),left_inverse(X1))) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.50.2.0','0.46.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.51.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,identity)) = multiply(X1,multiply(multiply(X2,X1),left_inverse(X1))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.51.0.0','0.36.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2.2','L')]).
% 0.71/1.11 cnf('0.51.0.2',plain,
% 0.71/1.11 ( multiply(X1,X2) = multiply(X1,multiply(multiply(X2,X1),left_inverse(X1))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.51.0.1','0.34.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.51.1.0',plain,
% 0.71/1.11 ( multiply(X1,X2) = multiply(X1,multiply(multiply(X2,X1),left_inverse(X1))) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.51.0.2']),
% 0.71/1.11 [weight('<107,50,46,[1,0,0,0]>')]).
% 0.71/1.11 cnf('0.51.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,X1),left_inverse(X1))) = multiply(X1,X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_51]).
% 0.71/1.11 cnf('0.52.0.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),left_inverse(X2)) = multiply(left_inverse(X2),multiply(X2,X1)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.51.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.52.0.1',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),left_inverse(X2)) = X1 ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.52.0.0','0.31.2.0',theory(equality)]),
% 0.71/1.11 [pos('R','L')]).
% 0.71/1.11 cnf('0.52.1.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),left_inverse(X2)) = X1 ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.71/1.11 [weight('<55,51,31,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.52.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),left_inverse(X2)) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_52]).
% 0.71/1.11 cnf('0.53.0.0',plain,
% 0.71/1.11 ( X1 = multiply(multiply(X1,left_inverse(X2)),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.52.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.53.1.0',plain,
% 0.71/1.11 ( X1 = multiply(multiply(X1,left_inverse(X2)),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.71/1.11 [weight('<55,52,35,[1,0,0,4]>')]).
% 0.71/1.11 cnf('0.53.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,left_inverse(X2)),X2) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_53]).
% 0.71/1.11 cnf('0.55.0.0',plain,
% 0.71/1.11 ( left_inverse(X1) = multiply(left_inverse(multiply(X2,X1)),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.52.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.55.1.0',plain,
% 0.71/1.11 ( left_inverse(X1) = multiply(left_inverse(multiply(X2,X1)),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.71/1.11 [weight('<62,52,31,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.55.2.0',plain,
% 0.71/1.11 ( multiply(left_inverse(multiply(X1,X2)),X1) = left_inverse(X2) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_55]).
% 0.71/1.11 cnf('0.57.0.0',plain,
% 0.71/1.11 ( left_inverse(multiply(left_inverse(X1),X2)) = multiply(left_inverse(X2),X1) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.55.2.0','0.37.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.1','L')]).
% 0.71/1.11 cnf('0.57.1.0',plain,
% 0.71/1.11 ( left_inverse(multiply(left_inverse(X1),X2)) = multiply(left_inverse(X2),X1) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.71/1.11 [weight('<59,55,37,[1,0,0,2]>')]).
% 0.71/1.11 cnf('0.57.2.0',plain,
% 0.71/1.11 ( left_inverse(multiply(left_inverse(X1),X2)) = multiply(left_inverse(X2),X1) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_57]).
% 0.71/1.11 cnf('0.121.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),multiply(X1,X3))) = multiply(multiply(X1,multiply(left_inverse(X1),multiply(X2,X1))),X3) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.50.2.0','0.45.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','L')]).
% 0.71/1.11 cnf('0.121.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),multiply(X1,X3))) = multiply(multiply(X2,X1),X3) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.121.0.0','0.37.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.1','L')]).
% 0.71/1.11 cnf('0.121.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),multiply(X1,X3))) = multiply(multiply(X2,X1),X3) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.121.0.1']),
% 0.71/1.11 [weight('<175,50,45,[1,0,0,3]>')]).
% 0.71/1.11 cnf('0.121.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(left_inverse(X1),X2),multiply(X1,X3))) = multiply(multiply(X2,X1),X3) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_121]).
% 0.71/1.11 cnf('0.122.0.0',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),X2),multiply(X1,X3)) = multiply(left_inverse(X1),multiply(multiply(X2,X1),X3)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.121.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.122.1.0',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),X2),multiply(X1,X3)) = multiply(left_inverse(X1),multiply(multiply(X2,X1),X3)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.122.0.0']),
% 0.71/1.11 [weight('<152,121,31,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.122.2.0',plain,
% 0.71/1.11 ( multiply(multiply(left_inverse(X1),X2),multiply(X1,X3)) = multiply(left_inverse(X1),multiply(multiply(X2,X1),X3)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_122]).
% 0.71/1.11 cnf('0.123.0.0',plain,
% 0.71/1.11 ( multiply(left_inverse(left_inverse(X1)),multiply(multiply(X2,left_inverse(X1)),X3)) = multiply(multiply(X1,X2),multiply(left_inverse(X1),X3)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.122.2.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.1','L')]).
% 0.71/1.11 cnf('0.123.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,left_inverse(X1)),X3)) = multiply(multiply(X1,X2),multiply(left_inverse(X1),X3)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.123.0.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.123.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,left_inverse(X1)),X3)) = multiply(multiply(X1,X2),multiply(left_inverse(X1),X3)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.123.0.1']),
% 0.71/1.11 [weight('<152,122,35,[1,0,0,2]>')]).
% 0.71/1.11 cnf('0.123.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),multiply(left_inverse(X1),X3)) = multiply(X1,multiply(multiply(X2,left_inverse(X1)),X3)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_123]).
% 0.71/1.11 cnf('0.125.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,multiply(X2,multiply(X1,X3))),left_inverse(X3)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.52.2.0','0.50.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('0.125.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,multiply(X2,multiply(X1,X3))),left_inverse(X3)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.125.0.0']),
% 0.71/1.11 [weight('<175,52,50,[1,0,0,1]>')]).
% 0.71/1.11 cnf('0.125.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,multiply(X1,X3))),left_inverse(X3)) = multiply(X1,multiply(X2,X1)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_125]).
% 0.71/1.11 cnf('0.126.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,left_inverse(X1)),multiply(X1,X3))) = multiply(multiply(X1,X2),X3) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.50.2.0','0.53.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','L')]).
% 0.71/1.11 cnf('0.126.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,left_inverse(X1)),multiply(X1,X3))) = multiply(multiply(X1,X2),X3) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.126.0.0']),
% 0.71/1.11 [weight('<175,53,50,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.126.2.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,left_inverse(X1)),multiply(X1,X3))) = multiply(multiply(X1,X2),X3) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_126]).
% 0.71/1.11 cnf('0.127.0.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,left_inverse(X2)),multiply(X2,X3)) = multiply(left_inverse(X2),multiply(multiply(X2,X1),X3)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.31.2.0','0.126.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.127.1.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,left_inverse(X2)),multiply(X2,X3)) = multiply(left_inverse(X2),multiply(multiply(X2,X1),X3)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.127.0.0']),
% 0.71/1.11 [weight('<152,126,31,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.127.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,left_inverse(X2)),multiply(X2,X3)) = multiply(left_inverse(X2),multiply(multiply(X2,X1),X3)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 0.71/1.11 [u,rule_127]).
% 0.71/1.11 cnf('0.136.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,multiply(X2,X3)),left_inverse(multiply(left_inverse(X1),X3))) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.125.2.0','0.37.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2.2','L')]).
% 0.71/1.11 cnf('0.136.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,multiply(X2,X3)),multiply(left_inverse(X3),X1)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.136.0.0','0.57.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.2','L')]).
% 0.71/1.11 cnf('0.136.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,multiply(X2,X3)),multiply(left_inverse(X3),X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.136.0.1']),
% 0.71/1.11 [weight('<175,125,37,[1,0,0,5]>')]).
% 0.71/1.11 cnf('0.136.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,multiply(X2,X3)),multiply(left_inverse(X3),X1)) = multiply(X1,multiply(X2,X1)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_136]).
% 0.71/1.11 cnf('0.137.0.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(left_inverse(left_inverse(X3)),X1)) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.136.2.0','0.52.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','L')]).
% 0.71/1.11 cnf('0.137.0.1',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.137.0.0','0.35.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.2.1','L')]).
% 0.71/1.11 cnf('0.137.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.137.0.1']),
% 0.71/1.11 [weight('<119,136,52,[1,0,0,3]>')]).
% 0.71/1.11 cnf('0.137.2.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,multiply(multiply(X2,X3),X1)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_137]).
% 0.71/1.11 cnf('0.138.0.0',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),multiply(multiply(X3,left_inverse(X1)),multiply(X1,X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.137.2.0','0.31.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.138.0.1',plain,
% 0.71/1.11 ( multiply(multiply(X1,X2),multiply(left_inverse(X1),multiply(multiply(X1,X3),X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.138.0.0','0.127.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.138.0.2',plain,
% 0.71/1.11 ( multiply(X1,multiply(multiply(X2,left_inverse(X1)),multiply(multiply(X1,X3),X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.138.0.1','0.123.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.138.0.3',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(multiply(left_inverse(X1),multiply(X1,X3)),X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.138.0.2','0.137.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.138.0.4',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X3,X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.138.0.3','0.31.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2.2.1','L')]).
% 0.71/1.11 cnf('0.138.1.0',plain,
% 0.71/1.11 ( multiply(X1,multiply(X2,multiply(X3,X2))) = multiply(multiply(multiply(X1,X2),X3),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.138.0.4']),
% 0.71/1.11 [weight('<119,137,31,[1,0,0,4]>')]).
% 0.71/1.11 cnf('0.138.2.0',plain,
% 0.71/1.11 ( multiply(multiply(multiply(X1,X2),X3),X2) = multiply(X1,multiply(X2,multiply(X3,X2))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_138]).
% 0.71/1.11 cnf('1.0.0.0',conjecture,
% 0.71/1.11 ( multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b))) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_26120_n028',conjecture_1)).
% 0.71/1.11 cnf('1.0.0.1',plain,
% 0.71/1.11 ( multiply(a,multiply(b,multiply(c,b))) = multiply(a,multiply(b,multiply(c,b))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.0','0.138.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('1.0.0.2',plain,
% 0.71/1.11 ( $true ),
% 0.71/1.11 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.71/1.11 [conjecture_1]).
% 0.71/1.11
% 0.71/1.11 Proved Goals:
% 0.71/1.11 No. 1: multiply(multiply(multiply(a,b),c),b) ?= multiply(a,multiply(b,multiply(c,b))) joined, current: multiply(a,multiply(b,multiply(c,b))) = multiply(a,multiply(b,multiply(c,b)))
% 0.71/1.11 1 goal was specified, which was proved.
% 0.71/1.11 % SZS output end CNFRefutation
% 0.71/1.11 #END OF PROOF
% 0.71/1.11
% 0.71/1.11 Problem WALDMEISTER_26120_n028
% 0.71/1.11 CPs.gen 11796
% 0.71/1.11 CPs.reexp 0
% 0.71/1.11 Select 417
% 0.71/1.11 R 138
% 0.71/1.11 E 0
% 0.71/1.11 vsize 6.5M
% 0.71/1.11 rss 3.8M
% 0.71/1.11 process.time 0.111s
% 0.71/1.11 wallclock.time 0.111s
% 0.71/1.11 status S
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Waldmeister states: Goal proved.
% 0.71/1.11 % SZS status Unsatisfiable
%------------------------------------------------------------------------------