%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL008-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.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 : Mon Jul 18 20:09:35 EDT 2022
% Result : Unsatisfiable 0.81s 1.22s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL008-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11 % Command : woody %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 8 12:27:23 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.47/0.88 ********************************************************************************
% 0.47/0.88 * W A L D M E I S T E R \| \ / \|/ *
% 0.47/0.88 * |/ | \/ | *
% 0.47/0.88 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.47/0.88 * A. Jaeger and B. Loechner | | *
% 0.47/0.88 * <waldmeister@informatik.uni-kl.de> | *
% 0.47/0.88 ********************************************************************************
% 0.47/0.88
% 0.47/0.88
% 0.47/0.88 Goals:
% 0.47/0.88 ------
% 0.47/0.88
% 0.47/0.88 ( 1) join(composition(sk1,sk2),composition(sk1,sk3)) ?=? composition(sk1,join(sk2,sk3))
% 0.47/0.88
% 0.47/0.88 Detected structure: Orkus
% 0.47/0.88 ********************************************************************************
% 0.47/0.88 ****************************** COMPLETION - PROOF ******************************
% 0.47/0.88 ********************************************************************************
% 0.47/0.88
% 0.81/1.22 joined goal: 1 join(composition(sk1,sk2),composition(sk1,sk3)) ?= composition(sk1,join(sk2,sk3)) to composition(sk1,join(sk2,sk3))
% 0.81/1.22 goal joined
% 0.81/1.22 % SZS status Unsatisfiable
% 0.81/1.22 #START OF PROOF
% 0.81/1.22 % SZS output start CNFRefutation
% 0.81/1.22 cnf('0.3.0.0',axiom,
% 0.81/1.22 ( X1 = converse(converse(X1)) ),
% 0.81/1.22 file('/tmp/WALDMEISTER_3066_n016')).
% 0.81/1.22 cnf('0.3.1.0',plain,
% 0.81/1.22 ( X1 = converse(converse(X1)) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.81/1.22 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.81/1.22 cnf('0.3.2.0',plain,
% 0.81/1.22 ( converse(converse(X1)) = X1 ),
% 0.81/1.22 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.81/1.22 [x,rule_3]).
% 0.81/1.22 cnf('0.7.0.0',axiom,
% 0.81/1.22 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.81/1.22 file('/tmp/WALDMEISTER_3066_n016')).
% 0.81/1.22 cnf('0.7.1.0',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.81/1.22 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.81/1.22 cnf('0.7.2.0',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_6]).
% 0.81/1.22 cnf('0.9.0.0',axiom,
% 0.81/1.22 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.81/1.22 file('/tmp/WALDMEISTER_3066_n016')).
% 0.81/1.22 cnf('0.9.1.0',plain,
% 0.81/1.22 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.81/1.22 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.81/1.22 cnf('0.9.2.0',plain,
% 0.81/1.22 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_8]).
% 0.81/1.22 cnf('0.12.0.0',axiom,
% 0.81/1.22 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.81/1.22 file('/tmp/WALDMEISTER_3066_n016')).
% 0.81/1.22 cnf('0.12.1.0',plain,
% 0.81/1.22 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.81/1.22 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.81/1.22 cnf('0.12.2.0',plain,
% 0.81/1.22 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_11]).
% 0.81/1.22 cnf('0.24.0.0',plain,
% 0.81/1.22 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.81/1.22 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.1','L')]).
% 0.81/1.22 cnf('0.24.1.0',plain,
% 0.81/1.22 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.81/1.22 [weight('<59,9,3,[1,0,0,1]>')]).
% 0.81/1.22 cnf('0.24.2.0',plain,
% 0.81/1.22 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_22]).
% 0.81/1.22 cnf('0.27.0.0',plain,
% 0.81/1.22 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.81/1.22 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.2','L')]).
% 0.81/1.22 cnf('0.27.1.0',plain,
% 0.81/1.22 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.81/1.22 [weight('<59,12,3,[1,0,0,3]>')]).
% 0.81/1.22 cnf('0.27.2.0',plain,
% 0.81/1.22 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_25]).
% 0.81/1.22 cnf('0.671.0.0',plain,
% 0.81/1.22 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 0.81/1.22 inference(cp,[status(thm)],['0.7.2.0','0.12.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.2','L')]).
% 0.81/1.22 cnf('0.671.1.0',plain,
% 0.81/1.22 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.671.0.0']),
% 0.81/1.22 [weight('<?,12,7,[0,0,0,4]>')]).
% 0.81/1.22 cnf('0.671.2.0',plain,
% 0.81/1.22 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.671.1.0',theory(equality)]),
% 0.81/1.22 [x,rule_663]).
% 0.81/1.22 cnf('0.855.0.0',plain,
% 0.81/1.22 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 0.81/1.22 inference(cp,[status(thm)],['0.12.2.0','0.24.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.2','L')]).
% 0.81/1.22 cnf('0.855.1.0',plain,
% 0.81/1.22 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.855.0.0']),
% 0.81/1.22 [weight('<119,24,12,[0,0,0,3]>')]).
% 0.81/1.22 cnf('0.855.2.0',plain,
% 0.81/1.22 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.855.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_845]).
% 0.81/1.22 cnf('0.861.0.0',plain,
% 0.81/1.22 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 0.81/1.22 inference(cp,[status(thm)],['0.9.2.0','0.27.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.1','L')]).
% 0.81/1.22 cnf('0.861.1.0',plain,
% 0.81/1.22 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.861.0.0']),
% 0.81/1.22 [weight('<119,27,9,[0,0,0,1]>')]).
% 0.81/1.22 cnf('0.861.2.0',plain,
% 0.81/1.22 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.861.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_851]).
% 0.81/1.22 cnf('0.862.0.0',plain,
% 0.81/1.22 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 0.81/1.22 inference(cp,[status(thm)],['0.861.2.0','0.671.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.1','L')]).
% 0.81/1.22 cnf('0.862.0.1',plain,
% 0.81/1.22 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 0.81/1.22 inference(reduction,[status(thm)],['0.862.0.0','0.3.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.1.1','L')]).
% 0.81/1.22 cnf('0.862.0.2',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 0.81/1.22 inference(reduction,[status(thm)],['0.862.0.1','0.3.2.0',theory(equality)]),
% 0.81/1.22 [pos('L.2','L')]).
% 0.81/1.22 cnf('0.862.0.3',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X1,X3)) = composition(converse(converse(X1)),join(X2,converse(converse(X3)))) ),
% 0.81/1.22 inference(reduction,[status(thm)],['0.862.0.2','0.855.2.0',theory(equality)]),
% 0.81/1.22 [pos('R','L')]).
% 0.81/1.22 cnf('0.862.0.4',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 0.81/1.22 inference(reduction,[status(thm)],['0.862.0.3','0.3.2.0',theory(equality)]),
% 0.81/1.22 [pos('R.1','L')]).
% 0.81/1.22 cnf('0.862.0.5',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 0.81/1.22 inference(reduction,[status(thm)],['0.862.0.4','0.3.2.0',theory(equality)]),
% 0.81/1.22 [pos('R.2.2','L')]).
% 0.81/1.22 cnf('0.862.1.0',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 0.81/1.22 inference(weigh,[status(thm)],['0.862.0.5']),
% 0.81/1.22 [weight('<103,861,671,[1,0,0,1]>')]).
% 0.81/1.22 cnf('0.862.2.0',plain,
% 0.81/1.22 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 0.81/1.22 inference(orient,[status(thm)],['0.862.1.0',theory(equality)]),
% 0.81/1.22 [u,rule_852]).
% 0.81/1.22 cnf('1.0.0.0',conjecture,
% 0.81/1.22 ( join(composition(sk1,sk2),composition(sk1,sk3)) = composition(sk1,join(sk2,sk3)) ),
% 0.81/1.22 file('/tmp/WALDMEISTER_3066_n016',conjecture_1)).
% 0.81/1.22 cnf('1.0.0.1',plain,
% 0.81/1.22 ( composition(sk1,join(sk2,sk3)) = composition(sk1,join(sk2,sk3)) ),
% 0.81/1.22 inference(reduction,[status(thm)],['1.0.0.0','0.862.2.0',theory(equality)]),
% 0.81/1.22 [pos('L','L')]).
% 0.81/1.22 cnf('1.0.0.2',plain,
% 0.81/1.22 ( $true ),
% 0.81/1.22 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.81/1.22 [conjecture_1]).
% 0.81/1.22
% 0.81/1.22 Proved Goals:
% 0.81/1.22 No. 1: join(composition(sk1,sk2),composition(sk1,sk3)) ?= composition(sk1,join(sk2,sk3)) joined, current: composition(sk1,join(sk2,sk3)) = composition(sk1,join(sk2,sk3))
% 0.81/1.22 1 goal was specified, which was proved.
% 0.81/1.22 % SZS output end CNFRefutation
% 0.81/1.22 #END OF PROOF
% 0.81/1.22
% 0.81/1.22 Problem WALDMEISTER_3066_n016
% 0.81/1.22 CPs.gen 130048
% 0.81/1.22 CPs.reexp 0
% 0.81/1.22 Select 9063
% 0.81/1.22 R 852
% 0.81/1.22 E 10
% 0.81/1.22 vsize 6.9M
% 0.81/1.22 rss 4.1M
% 0.81/1.22 process.time 0.337s
% 0.81/1.22 wallclock.time 0.337s
% 0.81/1.22 status S
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Waldmeister states: Goal proved.
% 0.81/1.22 % SZS status Unsatisfiable
%------------------------------------------------------------------------------