TSTP Solution File: SWV262-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 : Wed Jul 20 22:44:37 EDT 2022
% Result : Unsatisfiable 0.58s 0.96s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 01:24:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.96 ********************************************************************************
% 0.58/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.96 * |/ | \/ | *
% 0.58/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.96 * A. Jaeger and B. Loechner | | *
% 0.58/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.96 ********************************************************************************
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 Goals:
% 0.58/0.96 ------
% 0.58/0.96
% 0.58/0.96 ( 1) c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) ?=? c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))
% 0.58/0.96
% 0.58/0.96 Detected structure: Orkus
% 0.58/0.96 ********************************************************************************
% 0.58/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.96 ********************************************************************************
% 0.58/0.96
% 0.58/0.96 joined goal: 1 c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) ?= c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) to c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))
% 0.58/0.96 goal joined
% 0.58/0.96 % SZS status Unsatisfiable
% 0.58/0.96 #START OF PROOF
% 0.58/0.96 % SZS output start CNFRefutation
% 0.58/0.96 cnf('0.1.0.0',axiom,
% 0.58/0.96 ( X1 = c_union(c_emptyset,X1,X2) ),
% 0.58/0.96 file('/tmp/WALDMEISTER_13259_n007')).
% 0.58/0.96 cnf('0.1.1.0',plain,
% 0.58/0.96 ( X1 = c_union(c_emptyset,X1,X2) ),
% 0.58/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.96 cnf('0.1.2.0',plain,
% 0.58/0.96 ( c_union(c_emptyset,X1,X2) = X1 ),
% 0.58/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.96 [x,rule_1]).
% 0.58/0.96 cnf('0.2.0.0',axiom,
% 0.58/0.96 ( c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) ),
% 0.58/0.96 file('/tmp/WALDMEISTER_13259_n007')).
% 0.58/0.96 cnf('0.2.1.0',plain,
% 0.58/0.96 ( c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) ),
% 0.58/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.96 cnf('0.2.2.0',plain,
% 0.58/0.96 ( c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) ),
% 0.58/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.96 [u,rule_2]).
% 0.58/0.96 cnf('0.3.0.0',axiom,
% 0.58/0.96 ( c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3) ),
% 0.58/0.96 file('/tmp/WALDMEISTER_13259_n007')).
% 0.58/0.96 cnf('0.3.1.0',plain,
% 0.58/0.96 ( c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3) ),
% 0.58/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.96 cnf('0.3.2.0',plain,
% 0.58/0.96 ( c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3) ),
% 0.58/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.96 [u,rule_3]).
% 0.58/0.96 cnf('1.0.0.0',conjecture,
% 0.58/0.96 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 file('/tmp/WALDMEISTER_13259_n007',conjecture_1)).
% 0.58/0.96 cnf('1.0.0.1',plain,
% 0.58/0.96 ( c_union(c_Message_Oparts(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.96 [pos('L.1','L')]).
% 0.58/0.96 cnf('1.0.0.2',plain,
% 0.58/0.96 ( c_Message_Oparts(c_union(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.1','0.2.2.0',theory(equality)]),
% 0.58/0.96 [pos('L','L')]).
% 0.58/0.96 cnf('1.0.0.3',plain,
% 0.58/0.96 ( c_Message_Oparts(c_union(c_insert(v_X,c_union(c_emptyset,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.2','0.3.2.0',theory(equality)]),
% 0.58/0.96 [pos('L.1.1','L')]).
% 0.58/0.96 cnf('1.0.0.4',plain,
% 0.58/0.96 ( c_Message_Oparts(c_union(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.3','0.1.2.0',theory(equality)]),
% 0.58/0.96 [pos('L.1.1.2','L')]).
% 0.58/0.96 cnf('1.0.0.5',plain,
% 0.58/0.96 ( c_Message_Oparts(c_insert(v_X,c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.4','0.3.2.0',theory(equality)]),
% 0.58/0.96 [pos('L.1','L')]).
% 0.58/0.96 cnf('1.0.0.6',plain,
% 0.58/0.96 ( c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_union(c_emptyset,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.5','0.3.2.0',theory(equality)]),
% 0.58/0.96 [pos('L.1.2','L')]).
% 0.58/0.96 cnf('1.0.0.7',plain,
% 0.58/0.96 ( c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 0.58/0.96 inference(reduction,[status(thm)],['1.0.0.6','0.1.2.0',theory(equality)]),
% 0.58/0.96 [pos('L.1.2.2','L')]).
% 0.58/0.96 cnf('1.0.0.8',plain,
% 0.58/0.96 ( $true ),
% 0.58/0.96 inference(trivial,[status(thm)],['1.0.0.7',theory(equality)]),
% 0.58/0.96 [conjecture_1]).
% 0.58/0.96
% 0.58/0.96 Proved Goals:
% 0.58/0.96 No. 1: c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) ?= c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) joined, current: c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg))
% 0.58/0.96 1 goal was specified, which was proved.
% 0.58/0.96 % SZS output end CNFRefutation
% 0.58/0.96 #END OF PROOF
% 0.58/0.96
% 0.58/0.96 Problem WALDMEISTER_13259_n007
% 0.58/0.96 CPs.gen 0
% 0.58/0.96 CPs.reexp 0
% 0.58/0.96 Select 3
% 0.58/0.96 R 3
% 0.58/0.96 E 0
% 0.58/0.96 vsize 6.6M
% 0.58/0.96 rss 3.6M
% 0.58/0.96 process.time 0.002s
% 0.58/0.96 wallclock.time 0.002s
% 0.58/0.96 status S
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 Waldmeister states: Goal proved.
% 0.58/0.96 % SZS status Unsatisfiable
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