TSTP Solution File: ALG006-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 0.61s 0.98s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n027.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 : Thu Jun 9 06:40:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) difference(difference(a,c),b) ?=? difference(difference(a,b),c)
% 0.58/0.97
% 0.58/0.97 Detected structure: Orkus
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.61/0.98 joined goal: 1 difference(difference(a,c),b) ?= difference(difference(a,b),c) to difference(difference(a,b),c)
% 0.61/0.98 goal joined
% 0.61/0.98 % SZS status Unsatisfiable
% 0.61/0.98 #START OF PROOF
% 0.61/0.98 % SZS output start CNFRefutation
% 0.61/0.98 cnf('0.1.0.0',axiom,
% 0.61/0.98 ( X1 = difference(X1,difference(X2,X1)) ),
% 0.61/0.98 file('/tmp/WALDMEISTER_1445_n027')).
% 0.61/0.98 cnf('0.1.1.0',plain,
% 0.61/0.98 ( X1 = difference(X1,difference(X2,X1)) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/0.98 cnf('0.1.2.0',plain,
% 0.61/0.98 ( difference(X1,difference(X2,X1)) = X1 ),
% 0.61/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_1]).
% 0.61/0.98 cnf('0.2.0.0',axiom,
% 0.61/0.98 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.61/0.98 file('/tmp/WALDMEISTER_1445_n027')).
% 0.61/0.98 cnf('0.2.1.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.2.2.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.61/0.98 inference(activate,[status(thm)],['0.2.1.0']),
% 0.61/0.98 [equation_1]).
% 0.61/0.98 cnf('0.3.0.0',axiom,
% 0.61/0.98 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),difference(X2,X3)) ),
% 0.61/0.98 file('/tmp/WALDMEISTER_1445_n027')).
% 0.61/0.98 cnf('0.3.1.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),difference(X2,X3)) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.61/0.98 cnf('0.3.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_2]).
% 0.61/0.98 cnf('0.4.0.0',plain,
% 0.61/0.98 ( difference(X1,X2) = difference(difference(X1,X2),X2) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.4.1.0',plain,
% 0.61/0.98 ( difference(X1,X2) = difference(difference(X1,X2),X2) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/0.98 [weight('<53,1,1,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.4.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X2) = difference(X1,X2) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_3]).
% 0.61/0.98 cnf('0.5.0.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,difference(X2,X1))) = difference(difference(X2,X1),difference(X2,X1)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.2.2.0','0.4.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.5.0.1',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X2,X1),difference(X2,X1)) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.5.0.2',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X2,X2),X1) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.5.0.1','0.3.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.5.1.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X2,X2),X1) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.5.0.2']),
% 0.61/0.98 [weight('<80,4,2,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.5.2.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X2,X2),X1) ),
% 0.61/0.98 inference(activate,[status(thm)],['0.5.1.0']),
% 0.61/0.98 [equation_2]).
% 0.61/0.98 cnf('0.5.2.1',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(c,c),X1) ),
% 0.61/0.98 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.61/0.98 cnf('0.8.0.0',plain,
% 0.61/0.98 ( difference(difference(X1,X1),difference(X1,X1)) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.8.0.1',plain,
% 0.61/0.98 ( difference(difference(X1,X1),X1) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.8.0.0','0.3.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('0.8.0.2',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.8.0.1','0.4.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('0.8.1.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.8.0.2']),
% 0.61/0.98 [weight('<87,5,5,[1,1,0,0]>')]).
% 0.61/0.98 cnf('0.8.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X1),difference(X2,X2)) = difference(X2,X2) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_6]).
% 0.61/0.98 cnf('0.9.0.0',plain,
% 0.61/0.98 ( difference(difference(X1,X1),difference(difference(X1,X1),difference(X2,X2))) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.9.0.1',plain,
% 0.61/0.98 ( difference(difference(X1,X1),difference(X2,X2)) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.9.0.0','0.8.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.9.0.2',plain,
% 0.61/0.98 ( difference(X2,X2) = difference(difference(X2,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.9.0.1','0.8.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('0.9.0.3',plain,
% 0.61/0.98 ( difference(X2,X2) = difference(X1,X1) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.9.0.2','0.8.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.9.1.0',plain,
% 0.61/0.98 ( difference(X2,X2) = difference(X1,X1) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.9.0.3']),
% 0.61/0.98 [weight('<48,8,2,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.9.2.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(X2,X2) ),
% 0.61/0.98 inference(activate,[status(thm)],['0.9.1.0']),
% 0.61/0.98 [equation_3]).
% 0.61/0.98 cnf('0.9.2.1',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(c,c) ),
% 0.61/0.98 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.61/0.98 cnf('0.9.2.2',plain,
% 0.61/0.98 ( difference(c,c) = difference(X1,X1) ),
% 0.61/0.98 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.61/0.98 cnf('0.10.0.0',plain,
% 0.61/0.98 ( X1 = difference(X1,difference(X2,X2)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.1.2.0','0.9.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.10.1.0',plain,
% 0.61/0.98 ( X1 = difference(X1,difference(X2,X2)) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.61/0.98 [weight('<41,9,1,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.10.2.0',plain,
% 0.61/0.98 ( difference(X1,difference(X2,X2)) = X1 ),
% 0.61/0.98 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_7]).
% 0.61/0.98 cnf('0.11.0.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X1,X1),X2) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.11.1.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X1,X1),X2) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/0.98 [weight('<53,10,1,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.11.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X1),X2) = difference(X1,X1) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_8]).
% 0.61/0.98 cnf('0.12.0.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X1,X2),X1) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('0.12.1.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X1,X2),X1) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.61/0.98 [weight('<53,11,3,[1,0,0,0]>')]).
% 0.61/0.98 cnf('0.12.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X1) = difference(X1,X1) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_9]).
% 0.61/0.98 cnf('0.13.0.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,difference(X1,X2))) = difference(difference(X1,X2),difference(X1,X1)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.13.0.1',plain,
% 0.61/0.98 ( difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.13.0.0','0.10.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.13.1.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.61/0.98 [weight('<87,12,2,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.13.2.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.61/0.98 [u,rule_10]).
% 0.61/0.98 cnf('0.15.0.0',plain,
% 0.61/0.98 ( difference(difference(X1,difference(X2,X3)),X2) = difference(difference(X1,X2),difference(X2,X2)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.15.0.1',plain,
% 0.61/0.98 ( difference(difference(X1,difference(X2,X3)),X2) = difference(difference(X1,X2),X2) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.15.0.0','0.3.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.15.0.2',plain,
% 0.61/0.98 ( difference(difference(X1,difference(X2,X3)),X2) = difference(X1,X2) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.15.0.1','0.4.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.15.1.0',plain,
% 0.61/0.98 ( difference(difference(X1,difference(X2,X3)),X2) = difference(X1,X2) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.15.0.2']),
% 0.61/0.98 [weight('<87,12,3,[0,0,0,4]>')]).
% 0.61/0.98 cnf('0.15.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,difference(X2,X3)),X2) = difference(X1,X2) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.61/0.98 [u,rule_12]).
% 0.61/0.98 cnf('0.18.0.0',plain,
% 0.61/0.98 ( difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X2),difference(X3,X2)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.1','L')]).
% 0.61/0.98 cnf('0.18.0.1',plain,
% 0.61/0.98 ( difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.18.0.0','0.3.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.18.1.0',plain,
% 0.61/0.98 ( difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.61/0.98 [weight('<103,4,3,[0,0,0,1]>')]).
% 0.61/0.98 cnf('0.18.2.0',plain,
% 0.61/0.98 ( difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.61/0.98 [u,rule_15]).
% 0.61/0.98 cnf('0.26.0.0',plain,
% 0.61/0.98 ( difference(difference(X1,difference(X2,X3)),difference(X1,difference(X2,X3))) = difference(difference(X1,X2),difference(X1,difference(X2,X3))) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.12.2.0','0.15.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.1','L')]).
% 0.61/0.98 cnf('0.26.0.1',plain,
% 0.61/0.98 ( difference(difference(X1,X1),difference(X2,X3)) = difference(difference(X1,X2),difference(X1,difference(X2,X3))) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.26.0.0','0.3.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('0.26.0.2',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X1,X2),difference(X1,difference(X2,X3))) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.26.0.1','0.11.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('0.26.1.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(difference(X1,X2),difference(X1,difference(X2,X3))) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.26.0.2']),
% 0.61/0.98 [weight('<129,15,12,[0,0,0,1]>')]).
% 0.61/0.98 cnf('0.26.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),difference(X1,difference(X2,X3))) = difference(X1,X1) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_23]).
% 0.61/0.98 cnf('0.28.0.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(X1,difference(X1,difference(difference(X2,X1),X3))) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.26.2.0','0.1.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.1','L')]).
% 0.61/0.98 cnf('0.28.1.0',plain,
% 0.61/0.98 ( difference(X1,X1) = difference(X1,difference(X1,difference(difference(X2,X1),X3))) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.61/0.98 [weight('<129,26,1,[1,0,0,1]>')]).
% 0.61/0.98 cnf('0.28.2.0',plain,
% 0.61/0.98 ( difference(X1,difference(X1,difference(difference(X2,X1),X3))) = difference(X1,X1) ),
% 0.61/0.98 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.61/0.98 [x,rule_25]).
% 0.61/0.98 cnf('0.29.0.0',plain,
% 0.61/0.98 ( difference(X1,difference(difference(X2,X1),X3)) = difference(X1,difference(X1,X1)) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.13.2.0','0.28.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.29.0.1',plain,
% 0.61/0.98 ( difference(X1,difference(difference(X2,X1),X3)) = X1 ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.29.0.0','0.10.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.29.1.0',plain,
% 0.61/0.98 ( difference(X1,difference(difference(X2,X1),X3)) = X1 ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.61/0.98 [weight('<71,28,13,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.29.2.0',plain,
% 0.61/0.98 ( difference(X1,difference(difference(X2,X1),X3)) = X1 ),
% 0.61/0.98 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.61/0.98 [u,rule_26]).
% 0.61/0.98 cnf('0.35.0.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X3) = difference(difference(difference(X1,X2),X3),X2) ),
% 0.61/0.98 inference(cp,[status(thm)],['0.1.2.0','0.29.2.0',theory(equality)]),
% 0.61/0.98 [pos('L.2','L')]).
% 0.61/0.98 cnf('0.35.0.1',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(reduction,[status(thm)],['0.35.0.0','0.18.2.0',theory(equality)]),
% 0.61/0.98 [pos('R','L')]).
% 0.61/0.98 cnf('0.35.1.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.61/0.98 [weight('<120,29,1,[0,0,0,2]>')]).
% 0.61/0.98 cnf('0.35.2.0',plain,
% 0.61/0.98 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2) ),
% 0.61/0.98 inference(activate,[status(thm)],['0.35.1.0']),
% 0.61/0.98 [equation_4]).
% 0.61/0.98 cnf('1.0.0.0',conjecture,
% 0.61/0.98 ( difference(difference(a,c),b) = difference(difference(a,b),c) ),
% 0.61/0.98 file('/tmp/WALDMEISTER_1445_n027',conjecture_1)).
% 0.61/0.98 cnf('1.0.0.1',plain,
% 0.61/0.98 ( difference(difference(a,b),c) = difference(difference(a,b),c) ),
% 0.61/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.61/0.98 [pos('L','L')]).
% 0.61/0.98 cnf('1.0.0.2',plain,
% 0.61/0.98 ( $true ),
% 0.61/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.61/0.98 [conjecture_1]).
% 0.61/0.98
% 0.61/0.98 Proved Goals:
% 0.61/0.98 No. 1: difference(difference(a,c),b) ?= difference(difference(a,b),c) joined, current: difference(difference(a,b),c) = difference(difference(a,b),c)
% 0.61/0.98 1 goal was specified, which was proved.
% 0.61/0.98 % SZS output end CNFRefutation
% 0.61/0.98 #END OF PROOF
% 0.61/0.98
% 0.61/0.98 Problem WALDMEISTER_1445_n027
% 0.61/0.98 CPs.gen 1866
% 0.61/0.98 CPs.reexp 0
% 0.61/0.98 Select 201
% 0.61/0.98 R 31
% 0.61/0.98 E 4
% 0.61/0.98 vsize 6.5M
% 0.61/0.98 rss 3.7M
% 0.61/0.98 process.time 0.009s
% 0.61/0.98 wallclock.time 0.009s
% 0.61/0.98 status S
% 0.61/0.98
% 0.61/0.98
% 0.61/0.98 Waldmeister states: Goal proved.
% 0.61/0.98 % SZS status Unsatisfiable
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