TSTP Solution File: REL002-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n010.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 20:09:28 EDT 2022
% Result : Unsatisfiable 0.57s 0.98s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n010.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 : Fri Jul 8 11:19:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) join(sk1,top) ?=? top
% 0.57/0.97
% 0.57/0.97 Detected structure: Orkus
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.98 joined goal: 1 join(sk1,top) ?= top to top
% 0.57/0.98 goal joined
% 0.57/0.98 % SZS status Unsatisfiable
% 0.57/0.98 #START OF PROOF
% 0.57/0.98 % SZS output start CNFRefutation
% 0.57/0.98 cnf('0.2.0.0',axiom,
% 0.57/0.98 ( X1 = composition(X1,one) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.98 cnf('0.2.1.0',plain,
% 0.57/0.98 ( X1 = composition(X1,one) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.2.2.0',plain,
% 0.57/0.98 ( composition(X1,one) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_2]).
% 0.57/0.98 cnf('0.3.0.0',axiom,
% 0.57/0.98 ( X1 = converse(converse(X1)) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.98 cnf('0.3.1.0',plain,
% 0.57/0.98 ( X1 = converse(converse(X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.98 cnf('0.3.2.0',plain,
% 0.57/0.98 ( converse(converse(X1)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_3]).
% 0.57/0.98 cnf('0.4.0.0',axiom,
% 0.57/0.98 ( join(X1,X2) = join(X2,X1) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.98 cnf('0.4.1.0',plain,
% 0.57/0.98 ( join(X1,X2) = join(X2,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.98 cnf('0.4.2.0',plain,
% 0.57/0.98 ( join(X1,X2) = join(X2,X1) ),
% 0.57/0.98 inference(activate,[status(thm)],['0.4.1.0']),
% 0.57/0.98 [equation_1]).
% 0.57/0.98 cnf('0.5.0.0',axiom,
% 0.57/0.98 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.98 cnf('0.5.1.0',plain,
% 0.57/0.98 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.98 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.57/0.98 cnf('0.5.2.0',plain,
% 0.57/0.98 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_4]).
% 0.57/0.98 cnf('0.6.0.0',axiom,
% 0.57/0.98 ( join(X1,complement(X1)) = top ),
% 0.57/0.98 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.98 cnf('0.6.1.0',plain,
% 0.57/0.98 ( join(X1,complement(X1)) = top ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.57/0.98 cnf('0.6.2.0',plain,
% 0.57/0.98 ( join(X1,complement(X1)) = top ),
% 0.57/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_5]).
% 0.57/0.98 cnf('0.8.0.0',axiom,
% 0.57/0.98 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.98 cnf('0.8.1.0',plain,
% 0.57/0.98 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.98 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.57/0.98 cnf('0.8.1.1',plain,
% 0.57/0.98 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.8.2.0',plain,
% 0.57/0.99 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 0.57/0.99 [u,rule_7]).
% 0.57/0.99 cnf('0.12.0.0',axiom,
% 0.57/0.99 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23074_n010')).
% 0.57/0.99 cnf('0.12.1.0',plain,
% 0.57/0.99 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.99 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.57/0.99 cnf('0.12.2.0',plain,
% 0.57/0.99 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_11]).
% 0.57/0.99 cnf('0.27.0.0',plain,
% 0.57/0.99 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.27.1.0',plain,
% 0.57/0.99 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.57/0.99 [weight('<59,12,3,[1,0,0,3]>')]).
% 0.57/0.99 cnf('0.27.2.0',plain,
% 0.57/0.99 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_25]).
% 0.57/0.99 cnf('0.28.0.0',plain,
% 0.57/0.99 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.27.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.28.0.1',plain,
% 0.57/0.99 ( composition(converse(one),X1) = X1 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.28.0.0','0.3.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.28.1.0',plain,
% 0.57/0.99 ( composition(converse(one),X1) = X1 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.57/0.99 [weight('<29,27,2,[1,0,0,1]>')]).
% 0.57/0.99 cnf('0.28.2.0',plain,
% 0.57/0.99 ( composition(converse(one),X1) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_26]).
% 0.57/0.99 cnf('0.29.0.0',plain,
% 0.57/0.99 ( one = converse(one) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.28.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.29.1.0',plain,
% 0.57/0.99 ( one = converse(one) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.57/0.99 [weight('<11,28,2,[1,0,0,0]>')]).
% 0.57/0.99 cnf('0.29.2.0',plain,
% 0.57/0.99 ( converse(one) = one ),
% 0.57/0.99 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_27]).
% 0.57/0.99 cnf('0.30.0.0',plain,
% 0.57/0.99 ( composition(converse(one),X1) = X1 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.57/0.99 cnf('0.30.0.1',plain,
% 0.57/0.99 ( composition(one,X1) = X1 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.30.1.0',plain,
% 0.57/0.99 ( composition(one,X1) = X1 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.57/0.99 [weight('<19,28,29,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.30.2.0',plain,
% 0.57/0.99 ( composition(one,X1) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_28]).
% 0.57/0.99 cnf('0.33.0.0',plain,
% 0.57/0.99 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.8.2.0','0.30.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2.1','L')]).
% 0.57/0.99 cnf('0.33.0.1',plain,
% 0.57/0.99 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.33.0.0','0.29.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2.1','L')]).
% 0.57/0.99 cnf('0.33.0.2',plain,
% 0.57/0.99 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.33.0.1','0.30.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.33.1.0',plain,
% 0.57/0.99 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.33.0.2']),
% 0.57/0.99 [weight('<47,30,8,[0,0,0,7]>')]).
% 0.57/0.99 cnf('0.33.2.0',plain,
% 0.57/0.99 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_31]).
% 0.57/0.99 cnf('0.46.0.0',plain,
% 0.57/0.99 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.46.1.0',plain,
% 0.57/0.99 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.57/0.99 [weight('<69,6,5,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.46.2.0',plain,
% 0.57/0.99 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_43]).
% 0.57/0.99 cnf('0.47.0.0',plain,
% 0.57/0.99 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.46.2.0','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.47.0.1',plain,
% 0.57/0.99 ( join(top,complement(X1)) = top ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.47.0.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.47.1.0',plain,
% 0.57/0.99 ( join(top,complement(X1)) = top ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.57/0.99 [weight('<29,46,33,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.47.2.0',plain,
% 0.57/0.99 ( join(top,complement(X1)) = top ),
% 0.57/0.99 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_44]).
% 0.57/0.99 cnf('0.50.0.0',plain,
% 0.57/0.99 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.46.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.50.1.0',plain,
% 0.57/0.99 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.57/0.99 [weight('<53,46,6,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.50.1.1',plain,
% 0.57/0.99 ( top = join(X1,top) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.50.1.0','0.47.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.50.2.0',plain,
% 0.57/0.99 ( join(X1,top) = top ),
% 0.57/0.99 inference(orient,[status(thm)],['0.50.1.1',theory(equality)]),
% 0.57/0.99 [x,rule_47]).
% 0.57/0.99 cnf('1.0.0.0',conjecture,
% 0.57/0.99 ( join(sk1,top) = top ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23074_n010',conjecture_1)).
% 0.57/0.99 cnf('1.0.0.1',plain,
% 0.57/0.99 ( top = top ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.50.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('1.0.0.2',plain,
% 0.57/0.99 ( $true ),
% 0.57/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.99 [conjecture_1]).
% 0.57/0.99
% 0.57/0.99 Proved Goals:
% 0.57/0.99 No. 1: join(sk1,top) ?= top joined, current: top = top
% 0.57/0.99 1 goal was specified, which was proved.
% 0.57/0.99 % SZS output end CNFRefutation
% 0.57/0.99 #END OF PROOF
% 0.57/0.99
% 0.57/0.99 Problem WALDMEISTER_23074_n010
% 0.57/0.99 CPs.gen 315
% 0.57/0.99 CPs.reexp 0
% 0.57/0.99 Select 69
% 0.57/0.99 R 47
% 0.57/0.99 E 3
% 0.57/0.99 vsize 6.7M
% 0.57/0.99 rss 3.8M
% 0.57/0.99 process.time 0.017s
% 0.57/0.99 wallclock.time 0.017s
% 0.57/0.99 status S
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 Waldmeister states: Goal proved.
% 0.57/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------