TSTP Solution File: GRP459-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n005.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 12:26:20 EDT 2022
% Result : Unsatisfiable 0.65s 1.04s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : woody %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 13 04:43:24 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.65/1.04 ********************************************************************************
% 0.65/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.04 * |/ | \/ | *
% 0.65/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.04 * A. Jaeger and B. Loechner | | *
% 0.65/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.04 ********************************************************************************
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Goals:
% 0.65/1.04 ------
% 0.65/1.04
% 0.65/1.04 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.65/1.04
% 0.65/1.04 Detected structure: Orkus
% 0.65/1.04 ********************************************************************************
% 0.65/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.04 ********************************************************************************
% 0.65/1.04
% 0.65/1.04 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.65/1.04 goal joined
% 0.65/1.04 % SZS status Unsatisfiable
% 0.65/1.04 #START OF PROOF
% 0.65/1.04 % SZS output start CNFRefutation
% 0.65/1.04 cnf('0.1.0.0',axiom,
% 0.65/1.04 ( X1 = divide(divide(divide(X2,X2),divide(X2,divide(X1,divide(divide(identity,X2),X3)))),X3) ),
% 0.65/1.04 file('/tmp/WALDMEISTER_27880_n005')).
% 0.65/1.04 cnf('0.1.1.0',plain,
% 0.65/1.04 ( X1 = divide(divide(divide(X2,X2),divide(X2,divide(X1,divide(divide(identity,X2),X3)))),X3) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.65/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.65/1.04 cnf('0.1.2.0',plain,
% 0.65/1.04 ( divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_1]).
% 0.65/1.04 cnf('0.2.0.0',axiom,
% 0.65/1.04 ( divide(X1,X1) = identity ),
% 0.65/1.04 file('/tmp/WALDMEISTER_27880_n005')).
% 0.65/1.04 cnf('0.2.1.0',plain,
% 0.65/1.04 ( divide(X1,X1) = identity ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.65/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.65/1.04 cnf('0.2.2.0',plain,
% 0.65/1.04 ( divide(X1,X1) = identity ),
% 0.65/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_2]).
% 0.65/1.04 cnf('0.3.0.0',axiom,
% 0.65/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.65/1.04 file('/tmp/WALDMEISTER_27880_n005')).
% 0.65/1.04 cnf('0.3.1.0',plain,
% 0.65/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.65/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.65/1.04 cnf('0.3.2.0',plain,
% 0.65/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_3]).
% 0.65/1.04 cnf('0.4.0.0',axiom,
% 0.65/1.04 ( divide(identity,X1) = inverse(X1) ),
% 0.65/1.04 file('/tmp/WALDMEISTER_27880_n005')).
% 0.65/1.04 cnf('0.4.1.0',plain,
% 0.65/1.04 ( divide(identity,X1) = inverse(X1) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.65/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.65/1.04 cnf('0.4.2.0',plain,
% 0.65/1.04 ( divide(identity,X1) = inverse(X1) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_4]).
% 0.65/1.04 cnf('0.5.0.0',plain,
% 0.65/1.04 ( inverse(identity) = identity ),
% 0.65/1.04 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.5.1.0',plain,
% 0.65/1.04 ( inverse(identity) = identity ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.65/1.04 [weight('<11,4,2,[1,0,0,0]>')]).
% 0.65/1.04 cnf('0.5.2.0',plain,
% 0.65/1.04 ( inverse(identity) = identity ),
% 0.65/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_5]).
% 0.65/1.04 cnf('0.6.0.0',plain,
% 0.65/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.65/1.04 cnf('0.6.0.1',plain,
% 0.65/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.6.0.0','0.4.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.6.1.0',plain,
% 0.65/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.65/1.04 [weight('<39,3,4,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.6.2.0',plain,
% 0.65/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_6]).
% 0.65/1.04 cnf('0.7.0.0',plain,
% 0.65/1.04 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.7.1.0',plain,
% 0.65/1.04 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.65/1.04 [weight('<27,6,4,[1,0,0,0]>')]).
% 0.65/1.04 cnf('0.7.2.0',plain,
% 0.65/1.04 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_7]).
% 0.65/1.04 cnf('0.9.0.0',plain,
% 0.65/1.04 ( multiply(X1,identity) = divide(X1,identity) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.9.1.0',plain,
% 0.65/1.04 ( multiply(X1,identity) = divide(X1,identity) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.65/1.04 [weight('<27,6,5,[1,0,0,2]>')]).
% 0.65/1.04 cnf('0.9.2.0',plain,
% 0.65/1.04 ( divide(X1,identity) = multiply(X1,identity) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_9]).
% 0.65/1.04 cnf('0.13.0.0',plain,
% 0.65/1.04 ( multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.13.1.0',plain,
% 0.65/1.04 ( multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.65/1.04 [weight('<59,7,6,[0,0,0,2]>')]).
% 0.65/1.04 cnf('0.13.2.0',plain,
% 0.65/1.04 ( divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_13]).
% 0.65/1.04 cnf('0.17.0.0',plain,
% 0.65/1.04 ( divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.65/1.04 cnf('0.17.0.1',plain,
% 0.65/1.04 ( divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1','L')]).
% 0.65/1.04 cnf('0.17.1.0',plain,
% 0.65/1.04 ( divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.65/1.04 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.17.1.1',plain,
% 0.65/1.04 ( divide(inverse(divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.17.1.0','0.4.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1','L')]).
% 0.65/1.04 cnf('0.17.1.2',plain,
% 0.65/1.04 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.17.1.1','0.4.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1.2.2.1','L')]).
% 0.65/1.04 cnf('0.17.2.0',plain,
% 0.65/1.04 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.17.1.2',theory(equality)]),
% 0.65/1.04 [u,rule_17]).
% 0.65/1.04 cnf('0.18.0.0',plain,
% 0.65/1.04 ( X1 = divide(inverse(inverse(divide(X1,divide(inverse(identity),X2)))),X2) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.17.2.0','0.4.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1','L')]).
% 0.65/1.04 cnf('0.18.0.1',plain,
% 0.65/1.04 ( X1 = divide(multiply(identity,divide(X1,divide(inverse(identity),X2))),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.18.0.0','0.7.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1','L')]).
% 0.65/1.04 cnf('0.18.0.2',plain,
% 0.65/1.04 ( X1 = divide(multiply(identity,divide(X1,divide(identity,X2))),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.18.0.1','0.5.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1.2.2.1','L')]).
% 0.65/1.04 cnf('0.18.0.3',plain,
% 0.65/1.04 ( X1 = divide(multiply(identity,divide(X1,inverse(X2))),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.18.0.2','0.4.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1.2.2','L')]).
% 0.65/1.04 cnf('0.18.0.4',plain,
% 0.65/1.04 ( X1 = divide(multiply(identity,multiply(X1,X2)),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.18.0.3','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1.2','L')]).
% 0.65/1.04 cnf('0.18.1.0',plain,
% 0.65/1.04 ( X1 = divide(multiply(identity,multiply(X1,X2)),X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.18.0.4']),
% 0.65/1.04 [weight('<71,17,4,[1,0,0,2]>')]).
% 0.65/1.04 cnf('0.18.2.0',plain,
% 0.65/1.04 ( divide(multiply(identity,multiply(X1,X2)),X2) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_18]).
% 0.65/1.04 cnf('0.19.0.0',plain,
% 0.65/1.04 ( X1 = multiply(multiply(identity,multiply(X1,identity)),identity) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.18.2.0','0.9.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.19.1.0',plain,
% 0.65/1.04 ( X1 = multiply(multiply(identity,multiply(X1,identity)),identity) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.65/1.04 [weight('<71,18,9,[1,0,0,0]>')]).
% 0.65/1.04 cnf('0.19.2.0',plain,
% 0.65/1.04 ( multiply(multiply(identity,multiply(X1,identity)),identity) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_19]).
% 0.65/1.04 cnf('0.20.0.0',plain,
% 0.65/1.04 ( multiply(identity,multiply(X1,identity)) = divide(multiply(identity,X1),identity) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.18.2.0','0.19.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.2','L')]).
% 0.65/1.04 cnf('0.20.0.1',plain,
% 0.65/1.04 ( multiply(identity,multiply(X1,identity)) = multiply(multiply(identity,X1),identity) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.20.0.0','0.9.2.0',theory(equality)]),
% 0.65/1.04 [pos('R','L')]).
% 0.65/1.04 cnf('0.20.1.0',plain,
% 0.65/1.04 ( multiply(identity,multiply(X1,identity)) = multiply(multiply(identity,X1),identity) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.65/1.04 [weight('<65,19,18,[0,0,0,3]>')]).
% 0.65/1.04 cnf('0.20.2.0',plain,
% 0.65/1.04 ( multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_20]).
% 0.65/1.04 cnf('0.21.0.0',plain,
% 0.65/1.04 ( multiply(multiply(identity,multiply(X1,identity)),identity) = X1 ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.65/1.04 cnf('0.21.0.1',plain,
% 0.65/1.04 ( multiply(identity,multiply(multiply(X1,identity),identity)) = X1 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.21.0.0','0.20.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.21.1.0',plain,
% 0.65/1.04 ( multiply(identity,multiply(multiply(X1,identity),identity)) = X1 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.65/1.04 [weight('<71,19,20,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.21.2.0',plain,
% 0.65/1.04 ( multiply(identity,multiply(multiply(X1,identity),identity)) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_21]).
% 0.65/1.04 cnf('0.22.0.0',plain,
% 0.65/1.04 ( divide(inverse(X1),X2) = divide(inverse(divide(X1,identity)),X2) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.17.2.0','0.2.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1.2','L')]).
% 0.65/1.04 cnf('0.22.0.1',plain,
% 0.65/1.04 ( divide(inverse(X1),X2) = divide(inverse(multiply(X1,identity)),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1.1','L')]).
% 0.65/1.04 cnf('0.22.1.0',plain,
% 0.65/1.04 ( divide(inverse(X1),X2) = divide(inverse(multiply(X1,identity)),X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.65/1.04 [weight('<76,17,2,[1,0,0,4]>')]).
% 0.65/1.04 cnf('0.22.2.0',plain,
% 0.65/1.04 ( divide(inverse(multiply(X1,identity)),X2) = divide(inverse(X1),X2) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_22]).
% 0.65/1.04 cnf('0.23.0.0',plain,
% 0.65/1.04 ( inverse(multiply(X1,identity)) = divide(inverse(divide(X2,divide(inverse(X1),divide(inverse(X2),X3)))),X3) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.17.2.0','0.22.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1.2','L')]).
% 0.65/1.04 cnf('0.23.0.1',plain,
% 0.65/1.04 ( inverse(multiply(X1,identity)) = inverse(X1) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.23.0.0','0.17.2.0',theory(equality)]),
% 0.65/1.04 [pos('R','L')]).
% 0.65/1.04 cnf('0.23.1.0',plain,
% 0.65/1.04 ( inverse(multiply(X1,identity)) = inverse(X1) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.65/1.04 [weight('<34,22,17,[0,0,0,4]>')]).
% 0.65/1.04 cnf('0.23.2.0',plain,
% 0.65/1.04 ( inverse(multiply(X1,identity)) = inverse(X1) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_23]).
% 0.65/1.04 cnf('0.24.0.0',plain,
% 0.65/1.04 ( multiply(X1,multiply(X2,identity)) = divide(X1,inverse(X2)) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.6.2.0','0.23.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.24.0.1',plain,
% 0.65/1.04 ( multiply(X1,multiply(X2,identity)) = multiply(X1,X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.24.0.0','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('R','L')]).
% 0.65/1.04 cnf('0.24.1.0',plain,
% 0.65/1.04 ( multiply(X1,multiply(X2,identity)) = multiply(X1,X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.65/1.04 [weight('<53,23,6,[0,0,0,2]>')]).
% 0.65/1.04 cnf('0.24.2.0',plain,
% 0.65/1.04 ( multiply(X1,multiply(X2,identity)) = multiply(X1,X2) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_24]).
% 0.65/1.04 cnf('0.25.0.0',plain,
% 0.65/1.04 ( multiply(identity,multiply(multiply(X1,identity),identity)) = X1 ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.65/1.04 cnf('0.25.0.1',plain,
% 0.65/1.04 ( multiply(identity,multiply(X1,identity)) = X1 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.25.0.0','0.24.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.25.0.2',plain,
% 0.65/1.04 ( multiply(identity,X1) = X1 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.25.0.1','0.24.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.25.1.0',plain,
% 0.65/1.04 ( multiply(identity,X1) = X1 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.65/1.04 [weight('<19,21,24,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.25.2.0',plain,
% 0.65/1.04 ( multiply(identity,X1) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_25]).
% 0.65/1.04 cnf('0.27.0.0',plain,
% 0.65/1.04 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.25.2.0','0.24.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.27.0.1',plain,
% 0.65/1.04 ( multiply(X1,identity) = X1 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.27.0.0','0.25.2.0',theory(equality)]),
% 0.65/1.04 [pos('R','L')]).
% 0.65/1.04 cnf('0.27.1.0',plain,
% 0.65/1.04 ( multiply(X1,identity) = X1 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.65/1.04 [weight('<19,25,24,[1,0,0,0]>')]).
% 0.65/1.04 cnf('0.27.2.0',plain,
% 0.65/1.04 ( multiply(X1,identity) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_27]).
% 0.65/1.04 cnf('0.28.0.0',plain,
% 0.65/1.04 ( divide(X1,identity) = multiply(X1,identity) ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.65/1.04 cnf('0.28.0.1',plain,
% 0.65/1.04 ( divide(X1,identity) = X1 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.28.0.0','0.27.2.0',theory(equality)]),
% 0.65/1.04 [pos('R','L')]).
% 0.65/1.04 cnf('0.28.1.0',plain,
% 0.65/1.04 ( divide(X1,identity) = X1 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.65/1.04 [weight('<19,9,27,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.28.2.0',plain,
% 0.65/1.04 ( divide(X1,identity) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_28]).
% 0.65/1.04 cnf('0.30.0.0',plain,
% 0.65/1.04 ( divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)) ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.65/1.04 cnf('0.30.0.1',plain,
% 0.65/1.04 ( divide(X1,X2) = multiply(X1,inverse(X2)) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.30.0.0','0.25.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.30.1.0',plain,
% 0.65/1.04 ( divide(X1,X2) = multiply(X1,inverse(X2)) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.65/1.04 [weight('<39,13,25,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.30.2.0',plain,
% 0.65/1.04 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_30]).
% 0.65/1.04 cnf('0.31.0.0',plain,
% 0.65/1.04 ( divide(multiply(identity,multiply(X1,X2)),X2) = X1 ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.18.2.0'])).
% 0.65/1.04 cnf('0.31.0.1',plain,
% 0.65/1.04 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.31.0.0','0.25.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1','L')]).
% 0.65/1.04 cnf('0.31.1.0',plain,
% 0.65/1.04 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.65/1.04 [weight('<41,18,25,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.31.2.0',plain,
% 0.65/1.04 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.65/1.04 [u,rule_31]).
% 0.65/1.04 cnf('0.32.0.0',plain,
% 0.65/1.04 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.31.2.0','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.32.0.1',plain,
% 0.65/1.04 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.32.0.0','0.30.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1','L')]).
% 0.65/1.04 cnf('0.32.1.0',plain,
% 0.65/1.04 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.65/1.04 [weight('<41,31,6,[1,0,0,0]>')]).
% 0.65/1.04 cnf('0.32.2.0',plain,
% 0.65/1.04 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_32]).
% 0.65/1.04 cnf('0.33.0.0',plain,
% 0.65/1.04 ( X1 = divide(inverse(divide(X2,divide(X1,inverse(X2)))),identity) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.17.2.0','0.28.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1.2.2','L')]).
% 0.65/1.04 cnf('0.33.0.1',plain,
% 0.65/1.04 ( X1 = inverse(divide(X2,divide(X1,inverse(X2)))) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.33.0.0','0.28.2.0',theory(equality)]),
% 0.65/1.04 [pos('R','L')]).
% 0.65/1.04 cnf('0.33.0.2',plain,
% 0.65/1.04 ( X1 = inverse(divide(X2,multiply(X1,X2))) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.33.0.1','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('R.1.2','L')]).
% 0.65/1.04 cnf('0.33.1.0',plain,
% 0.65/1.04 ( X1 = inverse(divide(X2,multiply(X1,X2))) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.33.0.2']),
% 0.65/1.04 [weight('<55,28,17,[0,0,0,6]>')]).
% 0.65/1.04 cnf('0.33.2.0',plain,
% 0.65/1.04 ( inverse(divide(X1,multiply(X2,X1))) = X2 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_33]).
% 0.65/1.04 cnf('0.34.0.0',plain,
% 0.65/1.04 ( divide(X1,X2) = inverse(divide(X2,X1)) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.33.2.0','0.32.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.2','L')]).
% 0.65/1.04 cnf('0.34.1.0',plain,
% 0.65/1.04 ( divide(X1,X2) = inverse(divide(X2,X1)) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.65/1.04 [weight('<39,33,32,[1,0,0,3]>')]).
% 0.65/1.04 cnf('0.34.2.0',plain,
% 0.65/1.04 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_34]).
% 0.65/1.04 cnf('0.42.0.0',plain,
% 0.65/1.04 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.6.2.0','0.34.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.42.1.0',plain,
% 0.65/1.04 ( multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.65/1.04 [weight('<65,34,6,[0,0,0,2]>')]).
% 0.65/1.04 cnf('0.42.2.0',plain,
% 0.65/1.04 ( divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_42]).
% 0.65/1.04 cnf('0.52.0.0',plain,
% 0.65/1.04 ( divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2 ),
% 0.65/1.04 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.65/1.04 cnf('0.52.0.1',plain,
% 0.65/1.04 ( divide(divide(divide(X2,divide(inverse(X1),X3)),X1),X3) = X2 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.52.0.0','0.34.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1','L')]).
% 0.65/1.04 cnf('0.52.1.0',plain,
% 0.65/1.04 ( divide(divide(divide(X2,divide(inverse(X1),X3)),X1),X3) = X2 ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.65/1.04 [weight('<131,17,34,[0,0,0,0]>')]).
% 0.65/1.04 cnf('0.52.1.1',plain,
% 0.65/1.04 ( divide(divide(multiply(X2,divide(X3,inverse(X1))),X1),X3) = X2 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.52.1.0','0.42.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1','L')]).
% 0.65/1.04 cnf('0.52.1.2',plain,
% 0.65/1.04 ( divide(divide(multiply(X2,multiply(X3,X1)),X1),X3) = X2 ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.52.1.1','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1.2','L')]).
% 0.65/1.04 cnf('0.52.2.0',plain,
% 0.65/1.04 ( divide(divide(multiply(X1,multiply(X2,X3)),X3),X2) = X1 ),
% 0.65/1.04 inference(orient,[status(thm)],['0.52.1.2',theory(equality)]),
% 0.65/1.04 [u,rule_52]).
% 0.65/1.04 cnf('0.53.0.0',plain,
% 0.65/1.04 ( divide(X1,multiply(X2,X3)) = divide(divide(X1,X3),X2) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.52.2.0','0.32.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1.1','L')]).
% 0.65/1.04 cnf('0.53.1.0',plain,
% 0.65/1.04 ( divide(X1,multiply(X2,X3)) = divide(divide(X1,X3),X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.65/1.04 [weight('<65,52,32,[1,0,0,2]>')]).
% 0.65/1.04 cnf('0.53.2.0',plain,
% 0.65/1.04 ( divide(divide(X1,X2),X3) = divide(X1,multiply(X3,X2)) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_53]).
% 0.65/1.04 cnf('0.55.0.0',plain,
% 0.65/1.04 ( divide(X1,multiply(X2,inverse(X3))) = divide(multiply(X1,X3),X2) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.53.2.0','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.1','L')]).
% 0.65/1.04 cnf('0.55.0.1',plain,
% 0.65/1.04 ( divide(X1,divide(X2,X3)) = divide(multiply(X1,X3),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.55.0.0','0.30.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.55.0.2',plain,
% 0.65/1.04 ( multiply(X1,divide(X3,X2)) = divide(multiply(X1,X3),X2) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.55.0.1','0.42.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.55.1.0',plain,
% 0.65/1.04 ( multiply(X1,divide(X3,X2)) = divide(multiply(X1,X3),X2) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.55.0.2']),
% 0.65/1.04 [weight('<65,53,6,[1,0,0,1]>')]).
% 0.65/1.04 cnf('0.55.2.0',plain,
% 0.65/1.04 ( divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_55]).
% 0.65/1.04 cnf('0.56.0.0',plain,
% 0.65/1.04 ( multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3) ),
% 0.65/1.04 inference(cp,[status(thm)],['0.55.2.0','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('0.56.0.1',plain,
% 0.65/1.04 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.65/1.04 inference(reduction,[status(thm)],['0.56.0.0','0.6.2.0',theory(equality)]),
% 0.65/1.04 [pos('L.2','L')]).
% 0.65/1.04 cnf('0.56.1.0',plain,
% 0.65/1.04 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.65/1.04 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.65/1.04 [weight('<65,55,6,[1,0,0,0]>')]).
% 0.65/1.04 cnf('0.56.2.0',plain,
% 0.65/1.04 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.65/1.04 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.65/1.04 [x,rule_56]).
% 0.65/1.04 cnf('1.0.0.0',conjecture,
% 0.65/1.04 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.65/1.04 file('/tmp/WALDMEISTER_27880_n005',conjecture_1)).
% 0.65/1.04 cnf('1.0.0.1',plain,
% 0.65/1.04 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.65/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.56.2.0',theory(equality)]),
% 0.65/1.04 [pos('L','L')]).
% 0.65/1.04 cnf('1.0.0.2',plain,
% 0.65/1.04 ( $true ),
% 0.65/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.65/1.04 [conjecture_1]).
% 0.65/1.04
% 0.65/1.04 Proved Goals:
% 0.65/1.04 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.65/1.04 1 goal was specified, which was proved.
% 0.65/1.04 % SZS output end CNFRefutation
% 0.65/1.04 #END OF PROOF
% 0.65/1.04
% 0.65/1.04 Problem WALDMEISTER_27880_n005
% 0.65/1.04 CPs.gen 655
% 0.65/1.04 CPs.reexp 0
% 0.65/1.04 Select 144
% 0.65/1.04 R 56
% 0.65/1.04 E 0
% 0.65/1.04 vsize 6.5M
% 0.65/1.04 rss 3.8M
% 0.65/1.04 process.time 0.005s
% 0.65/1.04 wallclock.time 0.005s
% 0.65/1.04 status S
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Waldmeister states: Goal proved.
% 0.65/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------