TSTP Solution File: ALG007-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 : Thu Jul 14 18:24:58 EDT 2022
% Result : Unsatisfiable 0.60s 1.00s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG007-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 8 12:17:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) difference(difference(a,b),c) ?=? difference(difference(a,c),difference(b,c))
% 0.60/0.99
% 0.60/0.99 Detected structure: Orkus
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/1.00 joined goal: 1 difference(difference(a,b),c) ?= difference(difference(a,c),difference(b,c)) to difference(difference(a,c),b)
% 0.60/1.00 goal joined
% 0.60/1.00 % SZS status Unsatisfiable
% 0.60/1.00 #START OF PROOF
% 0.60/1.00 % SZS output start CNFRefutation
% 0.60/1.00 cnf('0.1.0.0',axiom,
% 0.60/1.00 ( X1 = difference(X1,difference(X2,X1)) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_9580_n017')).
% 0.60/1.00 cnf('0.1.1.0',plain,
% 0.60/1.00 ( X1 = difference(X1,difference(X2,X1)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.1.2.0',plain,
% 0.60/1.00 ( difference(X1,difference(X2,X1)) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_1]).
% 0.60/1.00 cnf('0.2.0.0',axiom,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_9580_n017')).
% 0.60/1.00 cnf('0.2.1.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.2.2.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.2.1.0']),
% 0.60/1.00 [equation_1]).
% 0.60/1.00 cnf('0.3.0.0',axiom,
% 0.60/1.00 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_9580_n017')).
% 0.60/1.00 cnf('0.3.1.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/1.00 cnf('0.3.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.3.1.0']),
% 0.60/1.00 [equation_2]).
% 0.60/1.00 cnf('0.5.0.0',plain,
% 0.60/1.00 ( X1 = difference(X1,difference(difference(X2,X1),X3)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.5.1.0',plain,
% 0.60/1.00 ( X1 = difference(X1,difference(difference(X2,X1),X3)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.00 [weight('<71,3,1,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.5.2.0',plain,
% 0.60/1.00 ( difference(X1,difference(difference(X2,X1),X3)) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_3]).
% 0.60/1.00 cnf('0.6.0.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X3,X1)) = difference(X1,X2) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.6.1.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X3,X1)) = difference(X1,X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/1.00 [weight('<87,3,1,[1,0,0,1]>')]).
% 0.60/1.00 cnf('0.6.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X3,X1)) = difference(X1,X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_4]).
% 0.60/1.00 cnf('0.12.0.0',plain,
% 0.60/1.00 ( difference(X1,X2) = difference(difference(X1,X2),difference(X2,X3)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1','L')]).
% 0.60/1.00 cnf('0.12.1.0',plain,
% 0.60/1.00 ( difference(X1,X2) = difference(difference(X1,X2),difference(X2,X3)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/1.00 [weight('<87,5,1,[1,0,0,3]>')]).
% 0.60/1.00 cnf('0.12.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X2,X3)) = difference(X1,X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_9]).
% 0.60/1.00 cnf('0.13.0.0',plain,
% 0.60/1.00 ( difference(X1,X2) = difference(X1,difference(X1,difference(X1,X2))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.13.1.0',plain,
% 0.60/1.00 ( difference(X1,X2) = difference(X1,difference(X1,difference(X1,X2))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.60/1.00 [weight('<87,6,2,[1,0,0,0]>')]).
% 0.60/1.00 cnf('0.13.2.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_10]).
% 0.60/1.00 cnf('0.27.0.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(difference(X2,difference(X2,X1)),difference(X3,X1)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.27.1.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(difference(X2,difference(X2,X1)),difference(X3,X1)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.60/1.00 [weight('<149,6,2,[1,0,0,1]>')]).
% 0.60/1.00 cnf('0.27.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,difference(X1,X2)),difference(X3,X2)) = difference(X2,difference(X2,X1)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_24]).
% 0.60/1.00 cnf('0.29.0.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X1,difference(X1,X3))) = difference(difference(X1,X3),X2) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.3.2.0','0.13.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.29.1.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X1,difference(X1,X3))) = difference(difference(X1,X3),X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.60/1.00 [weight('<149,13,3,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.29.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X1,difference(X1,X3))) = difference(difference(X1,X3),X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_26]).
% 0.60/1.00 cnf('0.32.0.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(difference(X2,difference(X3,X1)),difference(X2,X1)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.27.2.0','0.3.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.32.1.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,X2)) = difference(difference(X2,difference(X3,X1)),difference(X2,X1)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.60/1.00 [weight('<149,27,3,[1,0,0,0]>')]).
% 0.60/1.00 cnf('0.32.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,difference(X2,X3)),difference(X1,X3)) = difference(X3,difference(X3,X1)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_29]).
% 0.60/1.00 cnf('0.33.0.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(difference(X1,difference(X1,X2)),difference(difference(X2,difference(X3,X1)),X1)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.32.2.0','0.32.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.33.0.1',plain,
% 0.60/1.00 ( difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(X1,difference(X1,X2)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.0.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.33.1.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(X1,difference(X1,X2)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.60/1.00 [weight('<149,32,32,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.33.2.0',plain,
% 0.60/1.00 ( difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(X1,difference(X1,X2)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_30]).
% 0.60/1.00 cnf('0.34.0.0',plain,
% 0.60/1.00 ( difference(X1,difference(X2,difference(X3,X1))) = difference(difference(X1,difference(X2,difference(X3,X1))),difference(X1,difference(X1,X2))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.1.2.0','0.33.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.34.0.1',plain,
% 0.60/1.00 ( difference(X1,difference(X2,difference(X3,X1))) = difference(difference(X1,X2),difference(X2,difference(X3,X1))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.34.0.0','0.29.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.34.0.2',plain,
% 0.60/1.00 ( difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.34.0.1','0.12.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.34.1.0',plain,
% 0.60/1.00 ( difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.60/1.00 [weight('<87,33,1,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.34.2.0',plain,
% 0.60/1.00 ( difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_31]).
% 0.60/1.00 cnf('0.35.0.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),X3) = difference(difference(X1,X2),difference(X3,X2)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.34.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2','L')]).
% 0.60/1.00 cnf('0.35.1.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),X3) = difference(difference(X1,X2),difference(X3,X2)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.60/1.00 [weight('<103,34,1,[1,0,0,4]>')]).
% 0.60/1.00 cnf('0.35.2.0',plain,
% 0.60/1.00 ( difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X2),X3) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_32]).
% 0.60/1.00 cnf('1.0.0.0',conjecture,
% 0.60/1.00 ( difference(difference(a,b),c) = difference(difference(a,c),difference(b,c)) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_9580_n017',conjecture_1)).
% 0.60/1.00 cnf('1.0.0.1',plain,
% 0.60/1.00 ( difference(difference(a,c),b) = difference(difference(a,c),difference(b,c)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.3.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('1.0.0.2',plain,
% 0.60/1.00 ( difference(difference(a,c),b) = difference(difference(a,c),b) ),
% 0.60/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.35.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('1.0.0.3',plain,
% 0.60/1.00 ( $true ),
% 0.60/1.00 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.60/1.00 [conjecture_1]).
% 0.60/1.00
% 0.60/1.00 Proved Goals:
% 0.60/1.00 No. 1: difference(difference(a,b),c) ?= difference(difference(a,c),difference(b,c)) joined, current: difference(difference(a,c),b) = difference(difference(a,c),b)
% 0.60/1.00 1 goal was specified, which was proved.
% 0.60/1.00 % SZS output end CNFRefutation
% 0.60/1.00 #END OF PROOF
% 0.60/1.00
% 0.60/1.00 Problem WALDMEISTER_9580_n017
% 0.60/1.00 CPs.gen 2475
% 0.60/1.00 CPs.reexp 0
% 0.60/1.00 Select 323
% 0.60/1.00 R 32
% 0.60/1.00 E 3
% 0.60/1.00 vsize 6.5M
% 0.60/1.00 rss 3.7M
% 0.60/1.00 process.time 0.012s
% 0.60/1.00 wallclock.time 0.012s
% 0.60/1.00 status S
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Waldmeister states: Goal proved.
% 0.60/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------