TSTP Solution File: GRP200-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n013.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 12:25:22 EDT 2022
% Result : Unsatisfiable 0.84s 1.19s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 06:54:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.67/1.06 ********************************************************************************
% 0.67/1.06 * W A L D M E I S T E R \| \ / \|/ *
% 0.67/1.06 * |/ | \/ | *
% 0.67/1.06 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.67/1.06 * A. Jaeger and B. Loechner | | *
% 0.67/1.06 * <waldmeister@informatik.uni-kl.de> | *
% 0.67/1.06 ********************************************************************************
% 0.67/1.06
% 0.67/1.06
% 0.67/1.06 Goals:
% 0.67/1.06 ------
% 0.67/1.06
% 0.67/1.06 ( 1) multiply(multiply(multiply(a,b),c),b) ?=? multiply(a,multiply(b,multiply(c,b)))
% 0.67/1.06
% 0.67/1.06 Detected structure: Loop
% 0.67/1.06 ********************************************************************************
% 0.67/1.06 ****************************** COMPLETION - PROOF ******************************
% 0.67/1.06 ********************************************************************************
% 0.67/1.06
% 0.84/1.19 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)))
% 0.84/1.19 goal joined
% 0.84/1.19 % SZS status Unsatisfiable
% 0.84/1.19 #START OF PROOF
% 0.84/1.19 % SZS output start CNFRefutation
% 0.84/1.19 cnf('0.1.0.0',axiom,
% 0.84/1.19 ( X1 = multiply(X2,left_division(X2,X1)) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.1.1.0',plain,
% 0.84/1.19 ( X1 = multiply(X2,left_division(X2,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.84/1.19 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.1.2.0',plain,
% 0.84/1.19 ( multiply(X1,left_division(X1,X2)) = X2 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_1]).
% 0.84/1.19 cnf('0.2.0.0',axiom,
% 0.84/1.19 ( X1 = multiply(X1,identity) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.2.1.0',plain,
% 0.84/1.19 ( X1 = multiply(X1,identity) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.84/1.19 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.2.2.0',plain,
% 0.84/1.19 ( multiply(X1,identity) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_2]).
% 0.84/1.19 cnf('0.3.0.0',axiom,
% 0.84/1.19 ( X1 = multiply(identity,X1) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.3.1.0',plain,
% 0.84/1.19 ( X1 = multiply(identity,X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.84/1.19 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.84/1.19 cnf('0.3.2.0',plain,
% 0.84/1.19 ( multiply(identity,X1) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_3]).
% 0.84/1.19 cnf('0.4.0.0',axiom,
% 0.84/1.19 ( X1 = multiply(right_division(X1,X2),X2) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.4.1.0',plain,
% 0.84/1.19 ( X1 = multiply(right_division(X1,X2),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.84/1.19 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.84/1.19 cnf('0.4.2.0',plain,
% 0.84/1.19 ( multiply(right_division(X1,X2),X2) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_4]).
% 0.84/1.19 cnf('0.5.0.0',axiom,
% 0.84/1.19 ( X1 = right_division(multiply(X1,X2),X2) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.5.1.0',plain,
% 0.84/1.19 ( X1 = right_division(multiply(X1,X2),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.84/1.19 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.84/1.19 cnf('0.5.2.0',plain,
% 0.84/1.19 ( right_division(multiply(X1,X2),X2) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_5]).
% 0.84/1.19 cnf('0.6.0.0',axiom,
% 0.84/1.19 ( X1 = left_division(X2,multiply(X2,X1)) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.6.1.0',plain,
% 0.84/1.19 ( X1 = left_division(X2,multiply(X2,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.84/1.19 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.84/1.19 cnf('0.6.2.0',plain,
% 0.84/1.19 ( left_division(X1,multiply(X1,X2)) = X2 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_6]).
% 0.84/1.19 cnf('0.7.0.0',axiom,
% 0.84/1.19 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.7.1.0',plain,
% 0.84/1.19 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.84/1.19 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.84/1.19 cnf('0.7.2.0',plain,
% 0.84/1.19 ( multiply(X1,right_inverse(X1)) = identity ),
% 0.84/1.19 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_7]).
% 0.84/1.19 cnf('0.8.0.0',axiom,
% 0.84/1.19 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(multiply(X1,multiply(X2,X3)),X1) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.8.1.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(multiply(X1,multiply(X2,X3)),X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.84/1.19 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.84/1.19 cnf('0.8.2.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,multiply(X2,X3)),X1) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_8]).
% 0.84/1.19 cnf('0.9.0.0',axiom,
% 0.84/1.19 ( multiply(left_inverse(X1),X1) = identity ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013')).
% 0.84/1.19 cnf('0.9.1.0',plain,
% 0.84/1.19 ( multiply(left_inverse(X1),X1) = identity ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.84/1.19 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.84/1.19 cnf('0.9.2.0',plain,
% 0.84/1.19 ( multiply(left_inverse(X1),X1) = identity ),
% 0.84/1.19 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_9]).
% 0.84/1.19 cnf('0.15.0.0',plain,
% 0.84/1.19 ( identity = left_division(X1,X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.15.1.0',plain,
% 0.84/1.19 ( identity = left_division(X1,X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.84/1.19 [weight('<19,6,2,[1,0,0,2]>')]).
% 0.84/1.19 cnf('0.15.2.0',plain,
% 0.84/1.19 ( left_division(X1,X1) = identity ),
% 0.84/1.19 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_15]).
% 0.84/1.19 cnf('0.17.0.0',plain,
% 0.84/1.19 ( left_inverse(X1) = right_division(identity,X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.17.1.0',plain,
% 0.84/1.19 ( left_inverse(X1) = right_division(identity,X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.84/1.19 [weight('<23,9,5,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.17.2.0',plain,
% 0.84/1.19 ( right_division(identity,X1) = left_inverse(X1) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_17]).
% 0.84/1.19 cnf('0.18.0.0',plain,
% 0.84/1.19 ( X1 = right_division(identity,right_inverse(X1)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.5.2.0','0.7.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.18.1.0',plain,
% 0.84/1.19 ( X1 = right_division(identity,right_inverse(X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.84/1.19 [weight('<29,7,5,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.18.1.1',plain,
% 0.84/1.19 ( X1 = left_inverse(right_inverse(X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.18.1.0','0.17.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.18.2.0',plain,
% 0.84/1.19 ( left_inverse(right_inverse(X1)) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 0.84/1.19 [x,rule_18]).
% 0.84/1.19 cnf('0.20.0.0',plain,
% 0.84/1.19 ( X1 = right_division(X2,left_division(X1,X2)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.20.1.0',plain,
% 0.84/1.19 ( X1 = right_division(X2,left_division(X1,X2)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.84/1.19 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.20.2.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,X1)) = X2 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_20]).
% 0.84/1.19 cnf('0.21.0.0',plain,
% 0.84/1.19 ( X1 = left_division(right_division(X2,X1),X2) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.21.1.0',plain,
% 0.84/1.19 ( X1 = left_division(right_division(X2,X1),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.84/1.19 [weight('<41,6,4,[1,0,0,2]>')]).
% 0.84/1.19 cnf('0.21.2.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),X1) = X2 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_21]).
% 0.84/1.19 cnf('0.22.0.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,identity),multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1.2','L')]).
% 0.84/1.19 cnf('0.22.0.1',plain,
% 0.84/1.19 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.22.0.0','0.2.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.22.1.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(X2,X1)) = multiply(multiply(X1,X2),X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.84/1.19 [weight('<65,8,3,[1,0,0,3]>')]).
% 0.84/1.19 cnf('0.22.2.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_22]).
% 0.84/1.19 cnf('0.23.0.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(right_inverse(X1),X1)) = multiply(identity,X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.22.2.0','0.7.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.23.0.1',plain,
% 0.84/1.19 ( multiply(X1,multiply(right_inverse(X1),X1)) = X1 ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.23.0.0','0.3.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.23.1.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(right_inverse(X1),X1)) = X1 ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.84/1.19 [weight('<55,22,7,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.23.2.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(right_inverse(X1),X1)) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_23]).
% 0.84/1.19 cnf('0.24.0.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X1) = left_division(X1,X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.24.0.1',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X1) = identity ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.24.0.0','0.15.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.24.1.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X1) = identity ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.84/1.19 [weight('<29,23,6,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.24.2.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X1) = identity ),
% 0.84/1.19 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_24]).
% 0.84/1.19 cnf('0.25.0.0',plain,
% 0.84/1.19 ( right_inverse(X1) = right_division(identity,X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.25.0.1',plain,
% 0.84/1.19 ( right_inverse(X1) = left_inverse(X1) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.25.0.0','0.17.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.25.1.0',plain,
% 0.84/1.19 ( right_inverse(X1) = left_inverse(X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.84/1.19 [weight('<14,24,5,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.25.2.0',plain,
% 0.84/1.19 ( left_inverse(X1) = right_inverse(X1) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_25]).
% 0.84/1.19 cnf('0.26.0.0',plain,
% 0.84/1.19 ( left_inverse(right_inverse(X1)) = X1 ),
% 0.84/1.19 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 0.84/1.19 cnf('0.26.0.1',plain,
% 0.84/1.19 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.26.0.0','0.25.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.26.1.0',plain,
% 0.84/1.19 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.84/1.19 [weight('<19,18,25,[0,0,0,0]>')]).
% 0.84/1.19 cnf('0.26.2.0',plain,
% 0.84/1.19 ( right_inverse(right_inverse(X1)) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_26]).
% 0.84/1.19 cnf('0.47.0.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,multiply(X2,X3)),X1) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.84/1.19 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.84/1.19 cnf('0.47.0.1',plain,
% 0.84/1.19 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.47.0.0','0.22.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.47.1.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(multiply(X2,X3),X1)) = multiply(multiply(X1,X2),multiply(X3,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.84/1.19 [weight('<119,8,22,[0,0,0,0]>')]).
% 0.84/1.19 cnf('0.47.2.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,multiply(multiply(X2,X3),X1)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_47]).
% 0.84/1.19 cnf('0.48.0.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(multiply(X2,X1),right_inverse(X1))) = multiply(multiply(right_inverse(X1),X2),identity) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.47.2.0','0.7.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.48.0.1',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(multiply(X2,X1),right_inverse(X1))) = multiply(right_inverse(X1),X2) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.48.0.0','0.2.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.48.1.0',plain,
% 0.84/1.19 ( multiply(multiply(X2,X1),right_inverse(X1)) = X2 ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.84/1.19 [weight('<55,47,7,[1,0,0,4]>')]).
% 0.84/1.19 cnf('0.48.2.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,X2),right_inverse(X2)) = X1 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_48]).
% 0.84/1.19 cnf('0.49.0.0',plain,
% 0.84/1.19 ( right_division(X1,X2) = multiply(X1,right_inverse(X2)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.48.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.49.1.0',plain,
% 0.84/1.19 ( right_division(X1,X2) = multiply(X1,right_inverse(X2)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.84/1.19 [weight('<39,48,4,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.49.2.0',plain,
% 0.84/1.19 ( multiply(X1,right_inverse(X2)) = right_division(X1,X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_49]).
% 0.84/1.19 cnf('0.54.0.0',plain,
% 0.84/1.19 ( right_inverse(X1) = left_division(X2,right_division(X2,X1)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.6.2.0','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.54.1.0',plain,
% 0.84/1.19 ( right_inverse(X1) = left_division(X2,right_division(X2,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.84/1.19 [weight('<47,49,6,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.54.2.0',plain,
% 0.84/1.19 ( left_division(X1,right_division(X1,X2)) = right_inverse(X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_54]).
% 0.84/1.19 cnf('0.55.0.0',plain,
% 0.84/1.19 ( right_inverse(left_division(X1,X2)) = left_division(X2,X1) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.54.2.0','0.20.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.55.1.0',plain,
% 0.84/1.19 ( right_inverse(left_division(X1,X2)) = left_division(X2,X1) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.84/1.19 [weight('<39,54,20,[1,0,0,2]>')]).
% 0.84/1.19 cnf('0.55.2.0',plain,
% 0.84/1.19 ( right_inverse(left_division(X1,X2)) = left_division(X2,X1) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_55]).
% 0.84/1.19 cnf('0.59.0.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,X3)) = multiply(X1,left_division(X3,X2)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.49.2.0','0.55.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.59.1.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,X3)) = multiply(X1,left_division(X3,X2)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.84/1.19 [weight('<65,55,49,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.59.2.0',plain,
% 0.84/1.19 ( multiply(X1,left_division(X2,X3)) = right_division(X1,left_division(X3,X2)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_59]).
% 0.84/1.19 cnf('0.66.0.0',plain,
% 0.84/1.19 ( right_division(multiply(right_inverse(X1),X2),X1) = multiply(right_inverse(X1),multiply(X2,right_inverse(X1))) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.49.2.0','0.22.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.66.0.1',plain,
% 0.84/1.19 ( right_division(multiply(right_inverse(X1),X2),X1) = multiply(right_inverse(X1),right_division(X2,X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.66.0.0','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('R.2','L')]).
% 0.84/1.19 cnf('0.66.1.0',plain,
% 0.84/1.19 ( right_division(multiply(right_inverse(X1),X2),X1) = multiply(right_inverse(X1),right_division(X2,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.84/1.19 [weight('<90,49,22,[1,0,0,0]>')]).
% 0.84/1.19 cnf('0.66.2.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),right_division(X2,X1)) = right_division(multiply(right_inverse(X1),X2),X1) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_66]).
% 0.84/1.19 cnf('0.96.0.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(multiply(X1,X2),right_inverse(X1))) = multiply(identity,multiply(X2,right_inverse(X1))) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.47.2.0','0.24.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.96.0.1',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(multiply(X1,X2),right_inverse(X1))) = multiply(X2,right_inverse(X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.96.0.0','0.3.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.96.1.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(multiply(X1,X2),right_inverse(X1))) = multiply(X2,right_inverse(X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.96.0.1']),
% 0.84/1.19 [weight('<139,47,24,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.96.1.1',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),right_division(multiply(X1,X2),X1)) = multiply(X2,right_inverse(X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.96.1.0','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.96.1.2',plain,
% 0.84/1.19 ( right_division(multiply(right_inverse(X1),multiply(X1,X2)),X1) = multiply(X2,right_inverse(X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.96.1.1','0.66.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.96.1.3',plain,
% 0.84/1.19 ( right_division(multiply(right_inverse(X1),multiply(X1,X2)),X1) = right_division(X2,X1) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.96.1.2','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.96.2.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(X1,X2)) = X2 ),
% 0.84/1.19 inference(orient,[status(thm)],['0.96.1.3',theory(equality)]),
% 0.84/1.19 [u,rule_96]).
% 0.84/1.19 cnf('0.97.0.0',plain,
% 0.84/1.19 ( multiply(X1,X2) = left_division(right_inverse(X1),X2) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.6.2.0','0.96.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.97.1.0',plain,
% 0.84/1.19 ( multiply(X1,X2) = left_division(right_inverse(X1),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.97.0.0']),
% 0.84/1.19 [weight('<39,96,6,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.97.2.0',plain,
% 0.84/1.19 ( left_division(right_inverse(X1),X2) = multiply(X1,X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_97]).
% 0.84/1.19 cnf('0.98.0.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X2) = left_division(X1,X2) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.97.2.0','0.26.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.98.1.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X2) = left_division(X1,X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.98.0.0']),
% 0.84/1.19 [weight('<39,97,26,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.98.2.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),X2) = left_division(X1,X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_98]).
% 0.84/1.19 cnf('0.99.0.0',plain,
% 0.84/1.19 ( left_division(X1,right_inverse(X2)) = right_inverse(multiply(X2,X1)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.55.2.0','0.97.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.99.1.0',plain,
% 0.84/1.19 ( left_division(X1,right_inverse(X2)) = right_inverse(multiply(X2,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.84/1.19 [weight('<44,97,55,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.99.2.0',plain,
% 0.84/1.19 ( right_inverse(multiply(X1,X2)) = left_division(X2,right_inverse(X1)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_99]).
% 0.84/1.19 cnf('0.100.0.0',plain,
% 0.84/1.19 ( left_division(right_inverse(X1),right_inverse(X2)) = right_inverse(right_division(X2,X1)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.99.2.0','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.100.0.1',plain,
% 0.84/1.19 ( multiply(X1,right_inverse(X2)) = right_inverse(right_division(X2,X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.100.0.0','0.97.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.100.0.2',plain,
% 0.84/1.19 ( right_division(X1,X2) = right_inverse(right_division(X2,X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.100.0.1','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.100.1.0',plain,
% 0.84/1.19 ( right_division(X1,X2) = right_inverse(right_division(X2,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.100.0.2']),
% 0.84/1.19 [weight('<39,99,49,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.100.2.0',plain,
% 0.84/1.19 ( right_inverse(right_division(X1,X2)) = right_division(X2,X1) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_100]).
% 0.84/1.19 cnf('0.101.0.0',plain,
% 0.84/1.19 ( left_division(X1,right_inverse(X2)) = right_division(right_inverse(X1),X2) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.98.2.0','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.101.1.0',plain,
% 0.84/1.19 ( left_division(X1,right_inverse(X2)) = right_division(right_inverse(X1),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.84/1.19 [weight('<44,98,49,[1,0,0,0]>')]).
% 0.84/1.19 cnf('0.101.2.0',plain,
% 0.84/1.19 ( right_division(right_inverse(X1),X2) = left_division(X1,right_inverse(X2)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_101]).
% 0.84/1.19 cnf('0.102.0.0',plain,
% 0.84/1.19 ( right_inverse(X1) = right_division(X2,multiply(X1,X2)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.20.2.0','0.97.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.102.1.0',plain,
% 0.84/1.19 ( right_inverse(X1) = right_division(X2,multiply(X1,X2)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.102.0.0']),
% 0.84/1.19 [weight('<47,97,20,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.102.2.0',plain,
% 0.84/1.19 ( right_division(X1,multiply(X2,X1)) = right_inverse(X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_102]).
% 0.84/1.19 cnf('0.108.0.0',plain,
% 0.84/1.19 ( multiply(left_division(X1,X2),X3) = left_division(left_division(X2,X1),X3) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.97.2.0','0.55.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.108.1.0',plain,
% 0.84/1.19 ( multiply(left_division(X1,X2),X3) = left_division(left_division(X2,X1),X3) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.108.0.0']),
% 0.84/1.19 [weight('<65,97,55,[1,0,0,1]>')]).
% 0.84/1.19 cnf('0.108.2.0',plain,
% 0.84/1.19 ( multiply(left_division(X1,X2),X3) = left_division(left_division(X2,X1),X3) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_108]).
% 0.84/1.19 cnf('0.113.0.0',plain,
% 0.84/1.19 ( multiply(right_division(X1,X2),X3) = left_division(right_division(X2,X1),X3) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.97.2.0','0.100.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.113.1.0',plain,
% 0.84/1.19 ( multiply(right_division(X1,X2),X3) = left_division(right_division(X2,X1),X3) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.84/1.19 [weight('<65,100,97,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.113.2.0',plain,
% 0.84/1.19 ( multiply(right_division(X1,X2),X3) = left_division(right_division(X2,X1),X3) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_113]).
% 0.84/1.19 cnf('0.116.0.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,right_inverse(X3))) = multiply(X1,multiply(X3,X2)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.59.2.0','0.97.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.116.1.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,right_inverse(X3))) = multiply(X1,multiply(X3,X2)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.116.0.0']),
% 0.84/1.19 [weight('<83,97,59,[0,0,0,2]>')]).
% 0.84/1.19 cnf('0.116.2.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,right_inverse(X3))) = multiply(X1,multiply(X3,X2)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_116]).
% 0.84/1.19 cnf('0.117.0.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,X2),X3) = left_division(left_division(X2,right_inverse(X1)),X3) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.97.2.0','0.99.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.117.1.0',plain,
% 0.84/1.19 ( multiply(multiply(X1,X2),X3) = left_division(left_division(X2,right_inverse(X1)),X3) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.117.0.0']),
% 0.84/1.19 [weight('<83,99,97,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.117.2.0',plain,
% 0.84/1.19 ( left_division(left_division(X1,right_inverse(X2)),X3) = multiply(multiply(X2,X1),X3) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_117]).
% 0.84/1.19 cnf('0.132.0.0',plain,
% 0.84/1.19 ( multiply(right_inverse(X1),multiply(multiply(X2,X3),right_inverse(X1))) = multiply(left_division(X1,X2),multiply(X3,right_inverse(X1))) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.47.2.0','0.98.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.132.0.1',plain,
% 0.84/1.19 ( left_division(X1,multiply(multiply(X2,X3),right_inverse(X1))) = multiply(left_division(X1,X2),multiply(X3,right_inverse(X1))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.132.0.0','0.98.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.132.0.2',plain,
% 0.84/1.19 ( left_division(X1,right_division(multiply(X2,X3),X1)) = multiply(left_division(X1,X2),multiply(X3,right_inverse(X1))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.132.0.1','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.132.0.3',plain,
% 0.84/1.19 ( left_division(X1,right_division(multiply(X2,X3),X1)) = multiply(left_division(X1,X2),right_division(X3,X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.132.0.2','0.49.2.0',theory(equality)]),
% 0.84/1.19 [pos('R.2','L')]).
% 0.84/1.19 cnf('0.132.1.0',plain,
% 0.84/1.19 ( left_division(X1,right_division(multiply(X2,X3),X1)) = multiply(left_division(X1,X2),right_division(X3,X1)) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.132.0.3']),
% 0.84/1.19 [weight('<119,98,47,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.132.1.1',plain,
% 0.84/1.19 ( left_division(X1,right_division(multiply(X2,X3),X1)) = left_division(left_division(X2,X1),right_division(X3,X1)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.132.1.0','0.108.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.132.2.0',plain,
% 0.84/1.19 ( left_division(left_division(X1,X2),right_division(X3,X2)) = left_division(X2,right_division(multiply(X1,X3),X2)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.132.1.1',theory(equality)]),
% 0.84/1.19 [x,rule_132]).
% 0.84/1.19 cnf('0.147.0.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(X3,X2)) = right_inverse(left_division(X2,right_division(multiply(X3,X1),X2))) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.55.2.0','0.132.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.147.0.1',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(X3,X2)) = left_division(right_division(multiply(X3,X1),X2),X2) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.147.0.0','0.55.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.147.1.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(X3,X2)) = left_division(right_division(multiply(X3,X1),X2),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.147.0.1']),
% 0.84/1.19 [weight('<119,132,55,[0,0,0,1]>')]).
% 0.84/1.19 cnf('0.147.2.0',plain,
% 0.84/1.19 ( left_division(right_division(multiply(X1,X2),X3),X3) = left_division(right_division(X2,X3),left_division(X1,X3)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_147]).
% 0.84/1.19 cnf('0.150.0.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(right_inverse(X3),X2)) = left_division(right_division(left_division(X3,X1),X2),X2) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.147.2.0','0.98.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1.1','L')]).
% 0.84/1.19 cnf('0.150.0.1',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),multiply(X3,X2)) = left_division(right_division(left_division(X3,X1),X2),X2) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.150.0.0','0.97.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.150.1.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),multiply(X3,X2)) = left_division(right_division(left_division(X3,X1),X2),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.150.0.1']),
% 0.84/1.19 [weight('<119,147,98,[1,0,0,2]>')]).
% 0.84/1.19 cnf('0.150.2.0',plain,
% 0.84/1.19 ( left_division(right_division(left_division(X1,X2),X3),X3) = left_division(right_division(X2,X3),multiply(X1,X3)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_150]).
% 0.84/1.19 cnf('0.234.0.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(multiply(X2,X3),X4)) = right_division(X1,left_division(X4,left_division(X3,right_inverse(X2)))) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.116.2.0','0.99.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2.2','L')]).
% 0.84/1.19 cnf('0.234.1.0',plain,
% 0.84/1.19 ( multiply(X1,multiply(multiply(X2,X3),X4)) = right_division(X1,left_division(X4,left_division(X3,right_inverse(X2)))) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.234.0.0']),
% 0.84/1.19 [weight('<143,116,99,[1,0,0,4]>')]).
% 0.84/1.19 cnf('0.234.2.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,left_division(X3,right_inverse(X4)))) = multiply(X1,multiply(multiply(X4,X3),X2)) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_234]).
% 0.84/1.19 cnf('0.280.0.0',plain,
% 0.84/1.19 ( left_division(right_division(multiply(X1,X2),X3),multiply(X1,X3)) = left_division(right_division(X2,X3),X3) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.150.2.0','0.6.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1.1','L')]).
% 0.84/1.19 cnf('0.280.1.0',plain,
% 0.84/1.19 ( left_division(right_division(multiply(X1,X2),X3),multiply(X1,X3)) = left_division(right_division(X2,X3),X3) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.280.0.0']),
% 0.84/1.19 [weight('<149,150,6,[1,0,0,2]>')]).
% 0.84/1.19 cnf('0.280.2.0',plain,
% 0.84/1.19 ( left_division(right_division(multiply(X1,X2),X3),multiply(X1,X3)) = left_division(right_division(X2,X3),X3) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.280.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_280]).
% 0.84/1.19 cnf('0.282.0.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),multiply(right_division(X1,X3),X2)) = left_division(right_division(X3,X2),X2) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.150.2.0','0.21.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1.1','L')]).
% 0.84/1.19 cnf('0.282.0.1',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(right_division(X3,X1),X2)) = left_division(right_division(X3,X2),X2) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.282.0.0','0.113.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.282.1.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(right_division(X3,X1),X2)) = left_division(right_division(X3,X2),X2) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.282.0.1']),
% 0.84/1.19 [weight('<149,150,21,[1,0,0,2]>')]).
% 0.84/1.19 cnf('0.282.2.0',plain,
% 0.84/1.19 ( left_division(right_division(X1,X2),left_division(right_division(X3,X1),X2)) = left_division(right_division(X3,X2),X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.282.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_282]).
% 0.84/1.19 cnf('0.283.0.0',plain,
% 0.84/1.19 ( left_division(right_division(multiply(X1,X2),multiply(X1,X3)),multiply(X1,X3)) = left_division(right_division(X3,multiply(X1,X3)),left_division(right_division(X2,X3),X3)) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.282.2.0','0.280.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.283.0.1',plain,
% 0.84/1.19 ( left_division(right_division(X2,multiply(X1,X3)),left_division(X1,multiply(X1,X3))) = left_division(right_division(X3,multiply(X1,X3)),left_division(right_division(X2,X3),X3)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.283.0.0','0.147.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.283.0.2',plain,
% 0.84/1.19 ( left_division(right_division(X2,multiply(X1,X3)),X3) = left_division(right_division(X3,multiply(X1,X3)),left_division(right_division(X2,X3),X3)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.283.0.1','0.6.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2','L')]).
% 0.84/1.19 cnf('0.283.0.3',plain,
% 0.84/1.19 ( left_division(right_division(X2,multiply(X1,X3)),X3) = left_division(right_inverse(X1),left_division(right_division(X2,X3),X3)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.283.0.2','0.102.2.0',theory(equality)]),
% 0.84/1.19 [pos('R.1','L')]).
% 0.84/1.19 cnf('0.283.0.4',plain,
% 0.84/1.19 ( left_division(right_division(X2,multiply(X1,X3)),X3) = multiply(X1,left_division(right_division(X2,X3),X3)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.283.0.3','0.97.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.283.0.5',plain,
% 0.84/1.19 ( left_division(right_division(X2,multiply(X1,X3)),X3) = right_division(X1,left_division(X3,right_division(X2,X3))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.283.0.4','0.59.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.283.1.0',plain,
% 0.84/1.19 ( left_division(right_division(X2,multiply(X1,X3)),X3) = right_division(X1,left_division(X3,right_division(X2,X3))) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.283.0.5']),
% 0.84/1.19 [weight('<119,282,280,[1,0,0,4]>')]).
% 0.84/1.19 cnf('0.283.2.0',plain,
% 0.84/1.19 ( right_division(X1,left_division(X2,right_division(X3,X2))) = left_division(right_division(X3,multiply(X1,X2)),X2) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 0.84/1.19 [x,rule_283]).
% 0.84/1.19 cnf('0.287.0.0',plain,
% 0.84/1.19 ( left_division(right_division(right_inverse(X1),multiply(X2,X3)),X3) = right_division(X2,left_division(X3,left_division(X1,right_inverse(X3)))) ),
% 0.84/1.19 inference(cp,[status(thm)],['0.283.2.0','0.101.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.2.2','L')]).
% 0.84/1.19 cnf('0.287.0.1',plain,
% 0.84/1.19 ( left_division(left_division(X1,right_inverse(multiply(X2,X3))),X3) = right_division(X2,left_division(X3,left_division(X1,right_inverse(X3)))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.287.0.0','0.101.2.0',theory(equality)]),
% 0.84/1.19 [pos('L.1','L')]).
% 0.84/1.19 cnf('0.287.0.2',plain,
% 0.84/1.19 ( multiply(multiply(multiply(X2,X3),X1),X3) = right_division(X2,left_division(X3,left_division(X1,right_inverse(X3)))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.287.0.1','0.117.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('0.287.0.3',plain,
% 0.84/1.19 ( multiply(multiply(multiply(X2,X3),X1),X3) = multiply(X2,multiply(multiply(X3,X1),X3)) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.287.0.2','0.234.2.0',theory(equality)]),
% 0.84/1.19 [pos('R','L')]).
% 0.84/1.19 cnf('0.287.0.4',plain,
% 0.84/1.19 ( multiply(multiply(multiply(X2,X3),X1),X3) = multiply(X2,multiply(X3,multiply(X1,X3))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['0.287.0.3','0.22.2.0',theory(equality)]),
% 0.84/1.19 [pos('R.2','L')]).
% 0.84/1.19 cnf('0.287.1.0',plain,
% 0.84/1.19 ( multiply(multiply(multiply(X2,X3),X1),X3) = multiply(X2,multiply(X3,multiply(X1,X3))) ),
% 0.84/1.19 inference(weigh,[status(thm)],['0.287.0.4']),
% 0.84/1.19 [weight('<119,283,101,[1,0,0,4]>')]).
% 0.84/1.19 cnf('0.287.2.0',plain,
% 0.84/1.19 ( multiply(multiply(multiply(X1,X2),X3),X2) = multiply(X1,multiply(X2,multiply(X3,X2))) ),
% 0.84/1.19 inference(orient,[status(thm)],['0.287.1.0',theory(equality)]),
% 0.84/1.19 [u,rule_287]).
% 0.84/1.19 cnf('1.0.0.0',conjecture,
% 0.84/1.19 ( multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b))) ),
% 0.84/1.19 file('/tmp/WALDMEISTER_15819_n013',conjecture_1)).
% 0.84/1.19 cnf('1.0.0.1',plain,
% 0.84/1.19 ( multiply(a,multiply(b,multiply(c,b))) = multiply(a,multiply(b,multiply(c,b))) ),
% 0.84/1.19 inference(reduction,[status(thm)],['1.0.0.0','0.287.2.0',theory(equality)]),
% 0.84/1.19 [pos('L','L')]).
% 0.84/1.19 cnf('1.0.0.2',plain,
% 0.84/1.19 ( $true ),
% 0.84/1.19 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.84/1.19 [conjecture_1]).
% 0.84/1.19
% 0.84/1.19 Proved Goals:
% 0.84/1.19 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)))
% 0.84/1.19 1 goal was specified, which was proved.
% 0.84/1.19 % SZS output end CNFRefutation
% 0.84/1.19 #END OF PROOF
% 0.84/1.19
% 0.84/1.19 Problem WALDMEISTER_15819_n013
% 0.84/1.19 CPs.gen 20507
% 0.84/1.19 CPs.reexp 0
% 0.84/1.19 Select 1062
% 0.84/1.19 R 287
% 0.84/1.19 E 0
% 0.84/1.19 vsize 6.6M
% 0.84/1.19 rss 4.1M
% 0.84/1.19 process.time 0.131s
% 0.84/1.19 wallclock.time 0.131s
% 0.84/1.19 status S
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Waldmeister states: Goal proved.
% 0.84/1.19 % SZS status Unsatisfiable
%------------------------------------------------------------------------------