TSTP Solution File: GRP548-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 12:26:52 EDT 2022
% Result : Unsatisfiable 0.39s 0.79s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.02/0.09 % Command : woody %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 09:22:42 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.39/0.79 ********************************************************************************
% 0.39/0.79 * W A L D M E I S T E R \| \ / \|/ *
% 0.39/0.79 * |/ | \/ | *
% 0.39/0.79 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.39/0.79 * A. Jaeger and B. Loechner | | *
% 0.39/0.79 * <waldmeister@informatik.uni-kl.de> | *
% 0.39/0.79 ********************************************************************************
% 0.39/0.79
% 0.39/0.79
% 0.39/0.79 Goals:
% 0.39/0.79 ------
% 0.39/0.79
% 0.39/0.79 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.39/0.79
% 0.39/0.79 Detected structure: Orkus
% 0.39/0.79 ********************************************************************************
% 0.39/0.79 ****************************** COMPLETION - PROOF ******************************
% 0.39/0.79 ********************************************************************************
% 0.39/0.79
% 0.39/0.79 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.39/0.79 goal joined
% 0.39/0.79 % SZS status Unsatisfiable
% 0.39/0.79 #START OF PROOF
% 0.39/0.79 % SZS output start CNFRefutation
% 0.39/0.79 cnf('0.1.0.0',axiom,
% 0.39/0.79 ( X1 = divide(divide(identity,divide(X2,X3)),divide(divide(X3,X1),X2)) ),
% 0.39/0.79 file('/tmp/WALDMEISTER_26406_n032')).
% 0.39/0.79 cnf('0.1.1.0',plain,
% 0.39/0.79 ( X1 = divide(divide(identity,divide(X2,X3)),divide(divide(X3,X1),X2)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.39/0.79 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.39/0.79 cnf('0.1.2.0',plain,
% 0.39/0.79 ( divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_1]).
% 0.39/0.79 cnf('0.2.0.0',axiom,
% 0.39/0.79 ( divide(X1,X1) = identity ),
% 0.39/0.79 file('/tmp/WALDMEISTER_26406_n032')).
% 0.39/0.79 cnf('0.2.1.0',plain,
% 0.39/0.79 ( divide(X1,X1) = identity ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.39/0.79 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.39/0.79 cnf('0.2.2.0',plain,
% 0.39/0.79 ( divide(X1,X1) = identity ),
% 0.39/0.79 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_2]).
% 0.39/0.79 cnf('0.3.0.0',axiom,
% 0.39/0.79 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.39/0.79 file('/tmp/WALDMEISTER_26406_n032')).
% 0.39/0.79 cnf('0.3.1.0',plain,
% 0.39/0.79 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.39/0.79 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.39/0.79 cnf('0.3.2.0',plain,
% 0.39/0.79 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_3]).
% 0.39/0.79 cnf('0.4.0.0',axiom,
% 0.39/0.79 ( divide(identity,X1) = inverse(X1) ),
% 0.39/0.79 file('/tmp/WALDMEISTER_26406_n032')).
% 0.39/0.79 cnf('0.4.1.0',plain,
% 0.39/0.79 ( divide(identity,X1) = inverse(X1) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.39/0.79 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.39/0.79 cnf('0.4.2.0',plain,
% 0.39/0.79 ( divide(identity,X1) = inverse(X1) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_4]).
% 0.39/0.79 cnf('0.5.0.0',plain,
% 0.39/0.79 ( inverse(identity) = identity ),
% 0.39/0.79 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.39/0.79 [pos('L','L')]).
% 0.39/0.79 cnf('0.5.1.0',plain,
% 0.39/0.79 ( inverse(identity) = identity ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.39/0.79 [weight('<11,4,2,[1,0,0,0]>')]).
% 0.39/0.79 cnf('0.5.2.0',plain,
% 0.39/0.79 ( inverse(identity) = identity ),
% 0.39/0.79 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_5]).
% 0.39/0.79 cnf('0.6.0.0',plain,
% 0.39/0.79 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.39/0.79 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.39/0.79 cnf('0.6.0.1',plain,
% 0.39/0.79 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.6.0.0','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.6.1.0',plain,
% 0.39/0.79 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.39/0.79 [weight('<39,3,4,[0,0,0,0]>')]).
% 0.39/0.79 cnf('0.6.2.0',plain,
% 0.39/0.79 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_6]).
% 0.39/0.79 cnf('0.7.0.0',plain,
% 0.39/0.79 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('L','L')]).
% 0.39/0.79 cnf('0.7.1.0',plain,
% 0.39/0.79 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.39/0.79 [weight('<27,6,4,[1,0,0,0]>')]).
% 0.39/0.79 cnf('0.7.2.0',plain,
% 0.39/0.79 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_7]).
% 0.39/0.79 cnf('0.9.0.0',plain,
% 0.39/0.79 ( multiply(X1,identity) = divide(X1,identity) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.9.1.0',plain,
% 0.39/0.79 ( multiply(X1,identity) = divide(X1,identity) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.39/0.79 [weight('<27,6,5,[1,0,0,2]>')]).
% 0.39/0.79 cnf('0.9.2.0',plain,
% 0.39/0.79 ( divide(X1,identity) = multiply(X1,identity) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_9]).
% 0.39/0.79 cnf('0.13.0.0',plain,
% 0.39/0.79 ( multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.13.1.0',plain,
% 0.39/0.79 ( multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.39/0.79 [weight('<59,7,6,[0,0,0,2]>')]).
% 0.39/0.79 cnf('0.13.2.0',plain,
% 0.39/0.79 ( divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_13]).
% 0.39/0.79 cnf('0.15.0.0',plain,
% 0.39/0.79 ( divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3 ),
% 0.39/0.79 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.39/0.79 cnf('0.15.0.1',plain,
% 0.39/0.79 ( divide(inverse(divide(X1,X2)),divide(divide(X2,X3),X1)) = X3 ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.15.0.0','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1','L')]).
% 0.39/0.79 cnf('0.15.1.0',plain,
% 0.39/0.79 ( divide(inverse(divide(X1,X2)),divide(divide(X2,X3),X1)) = X3 ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.39/0.79 [weight('<131,1,4,[0,0,0,0]>')]).
% 0.39/0.79 cnf('0.15.2.0',plain,
% 0.39/0.79 ( divide(inverse(divide(X1,X2)),divide(divide(X2,X3),X1)) = X3 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_15]).
% 0.39/0.79 cnf('0.16.0.0',plain,
% 0.39/0.79 ( X1 = divide(inverse(identity),divide(divide(X2,X1),X2)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1.1','L')]).
% 0.39/0.79 cnf('0.16.0.1',plain,
% 0.39/0.79 ( X1 = divide(identity,divide(divide(X2,X1),X2)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.16.0.0','0.5.2.0',theory(equality)]),
% 0.39/0.79 [pos('R.1','L')]).
% 0.39/0.79 cnf('0.16.0.2',plain,
% 0.39/0.79 ( X1 = inverse(divide(divide(X2,X1),X2)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.16.0.1','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('R','L')]).
% 0.39/0.79 cnf('0.16.1.0',plain,
% 0.39/0.79 ( X1 = inverse(divide(divide(X2,X1),X2)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.16.0.2']),
% 0.39/0.79 [weight('<55,15,2,[1,0,0,2]>')]).
% 0.39/0.79 cnf('0.16.2.0',plain,
% 0.39/0.79 ( inverse(divide(divide(X1,X2),X1)) = X2 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_16]).
% 0.39/0.79 cnf('0.17.0.0',plain,
% 0.39/0.79 ( X1 = inverse(divide(identity,X1)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.16.2.0','0.2.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1.1','L')]).
% 0.39/0.79 cnf('0.17.0.1',plain,
% 0.39/0.79 ( X1 = inverse(inverse(X1)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.17.0.0','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('R.1','L')]).
% 0.39/0.79 cnf('0.17.0.2',plain,
% 0.39/0.79 ( X1 = multiply(identity,X1) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.17.0.1','0.7.2.0',theory(equality)]),
% 0.39/0.79 [pos('R','L')]).
% 0.39/0.79 cnf('0.17.1.0',plain,
% 0.39/0.79 ( X1 = multiply(identity,X1) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.17.0.2']),
% 0.39/0.79 [weight('<19,16,2,[1,0,0,2]>')]).
% 0.39/0.79 cnf('0.17.2.0',plain,
% 0.39/0.79 ( multiply(identity,X1) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_17]).
% 0.39/0.79 cnf('0.18.0.0',plain,
% 0.39/0.79 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.39/0.79 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.39/0.79 cnf('0.18.0.1',plain,
% 0.39/0.79 ( inverse(inverse(X1)) = X1 ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.18.0.0','0.17.2.0',theory(equality)]),
% 0.39/0.79 [pos('R','L')]).
% 0.39/0.79 cnf('0.18.1.0',plain,
% 0.39/0.79 ( inverse(inverse(X1)) = X1 ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.39/0.79 [weight('<19,7,17,[0,0,0,0]>')]).
% 0.39/0.79 cnf('0.18.2.0',plain,
% 0.39/0.79 ( inverse(inverse(X1)) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_18]).
% 0.39/0.79 cnf('0.20.0.0',plain,
% 0.39/0.79 ( divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)) ),
% 0.39/0.79 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.39/0.79 cnf('0.20.0.1',plain,
% 0.39/0.79 ( divide(X1,X2) = multiply(X1,inverse(X2)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.20.0.0','0.17.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.20.1.0',plain,
% 0.39/0.79 ( divide(X1,X2) = multiply(X1,inverse(X2)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.39/0.79 [weight('<39,13,17,[0,0,0,0]>')]).
% 0.39/0.79 cnf('0.20.2.0',plain,
% 0.39/0.79 ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_20]).
% 0.39/0.79 cnf('0.21.0.0',plain,
% 0.39/0.79 ( X1 = inverse(divide(inverse(X1),identity)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.16.2.0','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1.1','L')]).
% 0.39/0.79 cnf('0.21.0.1',plain,
% 0.39/0.79 ( X1 = inverse(multiply(inverse(X1),identity)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.21.0.0','0.9.2.0',theory(equality)]),
% 0.39/0.79 [pos('R.1','L')]).
% 0.39/0.79 cnf('0.21.1.0',plain,
% 0.39/0.79 ( X1 = inverse(multiply(inverse(X1),identity)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.39/0.79 [weight('<41,16,4,[1,0,0,2]>')]).
% 0.39/0.79 cnf('0.21.2.0',plain,
% 0.39/0.79 ( inverse(multiply(inverse(X1),identity)) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_21]).
% 0.39/0.79 cnf('0.22.0.0',plain,
% 0.39/0.79 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.18.2.0','0.21.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1','L')]).
% 0.39/0.79 cnf('0.22.1.0',plain,
% 0.39/0.79 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.39/0.79 [weight('<34,21,18,[0,0,0,1]>')]).
% 0.39/0.79 cnf('0.22.2.0',plain,
% 0.39/0.79 ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_22]).
% 0.39/0.79 cnf('0.23.0.0',plain,
% 0.39/0.79 ( inverse(divide(divide(X1,X2),X1)) = multiply(X2,identity) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.22.2.0','0.16.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1','L')]).
% 0.39/0.79 cnf('0.23.0.1',plain,
% 0.39/0.79 ( X2 = multiply(X2,identity) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.23.0.0','0.16.2.0',theory(equality)]),
% 0.39/0.79 [pos('L','L')]).
% 0.39/0.79 cnf('0.23.1.0',plain,
% 0.39/0.79 ( X2 = multiply(X2,identity) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.39/0.79 [weight('<19,22,16,[1,0,0,1]>')]).
% 0.39/0.79 cnf('0.23.2.0',plain,
% 0.39/0.79 ( multiply(X1,identity) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_23]).
% 0.39/0.79 cnf('0.24.0.0',plain,
% 0.39/0.79 ( divide(X1,identity) = multiply(X1,identity) ),
% 0.39/0.79 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.39/0.79 cnf('0.24.0.1',plain,
% 0.39/0.79 ( divide(X1,identity) = X1 ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.24.0.0','0.23.2.0',theory(equality)]),
% 0.39/0.79 [pos('R','L')]).
% 0.39/0.79 cnf('0.24.1.0',plain,
% 0.39/0.79 ( divide(X1,identity) = X1 ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.39/0.79 [weight('<19,9,23,[0,0,0,0]>')]).
% 0.39/0.79 cnf('0.24.2.0',plain,
% 0.39/0.79 ( divide(X1,identity) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_24]).
% 0.39/0.79 cnf('0.25.0.0',plain,
% 0.39/0.79 ( X1 = divide(inverse(divide(identity,X2)),divide(X2,X1)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.15.2.0','0.24.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.25.0.1',plain,
% 0.39/0.79 ( X1 = divide(inverse(inverse(X2)),divide(X2,X1)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.25.0.0','0.4.2.0',theory(equality)]),
% 0.39/0.79 [pos('R.1.1','L')]).
% 0.39/0.79 cnf('0.25.0.2',plain,
% 0.39/0.79 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.25.0.1','0.18.2.0',theory(equality)]),
% 0.39/0.79 [pos('R.1','L')]).
% 0.39/0.79 cnf('0.25.1.0',plain,
% 0.39/0.79 ( X1 = divide(X2,divide(X2,X1)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.39/0.79 [weight('<41,24,15,[0,0,0,5]>')]).
% 0.39/0.79 cnf('0.25.2.0',plain,
% 0.39/0.79 ( divide(X1,divide(X1,X2)) = X2 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_25]).
% 0.39/0.79 cnf('0.26.0.0',plain,
% 0.39/0.79 ( divide(X1,X2) = inverse(divide(X2,X1)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.16.2.0','0.25.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1.1','L')]).
% 0.39/0.79 cnf('0.26.1.0',plain,
% 0.39/0.79 ( divide(X1,X2) = inverse(divide(X2,X1)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.39/0.79 [weight('<39,25,16,[0,0,0,2]>')]).
% 0.39/0.79 cnf('0.26.2.0',plain,
% 0.39/0.79 ( inverse(divide(X1,X2)) = divide(X2,X1) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_26]).
% 0.39/0.79 cnf('0.28.0.0',plain,
% 0.39/0.79 ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.25.2.0','0.6.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.28.1.0',plain,
% 0.39/0.79 ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.39/0.79 [weight('<47,25,6,[1,0,0,2]>')]).
% 0.39/0.79 cnf('0.28.2.0',plain,
% 0.39/0.79 ( divide(X1,multiply(X1,X2)) = inverse(X2) ),
% 0.39/0.79 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_28]).
% 0.39/0.79 cnf('0.29.0.0',plain,
% 0.39/0.79 ( divide(multiply(X1,X2),X1) = inverse(inverse(X2)) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.26.2.0','0.28.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1','L')]).
% 0.39/0.79 cnf('0.29.0.1',plain,
% 0.39/0.79 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.29.0.0','0.18.2.0',theory(equality)]),
% 0.39/0.79 [pos('R','L')]).
% 0.39/0.79 cnf('0.29.1.0',plain,
% 0.39/0.79 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.39/0.79 [weight('<41,28,26,[0,0,0,1]>')]).
% 0.39/0.79 cnf('0.29.2.0',plain,
% 0.39/0.79 ( divide(multiply(X1,X2),X1) = X2 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.39/0.79 [u,rule_29]).
% 0.39/0.79 cnf('0.30.0.0',plain,
% 0.39/0.79 ( X1 = divide(multiply(X1,X2),X2) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.25.2.0','0.29.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.2','L')]).
% 0.39/0.79 cnf('0.30.1.0',plain,
% 0.39/0.79 ( X1 = divide(multiply(X1,X2),X2) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.39/0.79 [weight('<41,29,25,[0,0,0,2]>')]).
% 0.39/0.79 cnf('0.30.2.0',plain,
% 0.39/0.79 ( divide(multiply(X1,X2),X2) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_30]).
% 0.39/0.79 cnf('0.31.0.0',plain,
% 0.39/0.79 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.30.2.0','0.6.2.0',theory(equality)]),
% 0.39/0.79 [pos('L','L')]).
% 0.39/0.79 cnf('0.31.0.1',plain,
% 0.39/0.79 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.39/0.79 inference(reduction,[status(thm)],['0.31.0.0','0.20.2.0',theory(equality)]),
% 0.39/0.79 [pos('R.1','L')]).
% 0.39/0.79 cnf('0.31.1.0',plain,
% 0.39/0.79 ( X1 = multiply(divide(X1,X2),X2) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.39/0.79 [weight('<41,30,6,[1,0,0,0]>')]).
% 0.39/0.79 cnf('0.31.2.0',plain,
% 0.39/0.79 ( multiply(divide(X1,X2),X2) = X1 ),
% 0.39/0.79 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.39/0.79 [x,rule_31]).
% 0.39/0.79 cnf('0.36.0.0',plain,
% 0.39/0.79 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.39/0.79 inference(cp,[status(thm)],['0.31.2.0','0.29.2.0',theory(equality)]),
% 0.39/0.79 [pos('L.1','L')]).
% 0.39/0.79 cnf('0.36.1.0',plain,
% 0.39/0.79 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.39/0.79 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.39/0.79 [weight('<48,31,29,[1,0,0,1]>')]).
% 0.39/0.79 cnf('0.36.2.0',plain,
% 0.39/0.79 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.39/0.79 inference(activate,[status(thm)],['0.36.1.0']),
% 0.39/0.79 [equation_1]).
% 0.39/0.79 cnf('1.0.0.0',conjecture,
% 0.39/0.79 ( multiply(a,b) = multiply(b,a) ),
% 0.39/0.79 file('/tmp/WALDMEISTER_26406_n032',conjecture_1)).
% 0.39/0.79 cnf('1.0.0.1',plain,
% 0.39/0.79 ( multiply(b,a) = multiply(b,a) ),
% 0.39/0.79 inference(reduction,[status(thm)],['1.0.0.0','0.36.2.0',theory(equality)]),
% 0.39/0.79 [pos('L','L')]).
% 0.39/0.79 cnf('1.0.0.2',plain,
% 0.39/0.79 ( $true ),
% 0.39/0.79 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.39/0.79 [conjecture_1]).
% 0.39/0.79
% 0.39/0.79 Proved Goals:
% 0.39/0.79 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.39/0.79 1 goal was specified, which was proved.
% 0.39/0.79 % SZS output end CNFRefutation
% 0.39/0.79 #END OF PROOF
% 0.39/0.79
% 0.39/0.79 Problem WALDMEISTER_26406_n032
% 0.39/0.79 CPs.gen 224
% 0.39/0.79 CPs.reexp 0
% 0.39/0.79 Select 45
% 0.39/0.79 R 35
% 0.39/0.79 E 1
% 0.39/0.79 vsize 6.5M
% 0.39/0.79 rss 3.8M
% 0.39/0.79 process.time 0.003s
% 0.39/0.79 wallclock.time 0.003s
% 0.39/0.79 status S
% 0.39/0.79
% 0.39/0.79
% 0.39/0.79 Waldmeister states: Goal proved.
% 0.39/0.79 % SZS status Unsatisfiable
%------------------------------------------------------------------------------