TSTP Solution File: LAT090-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Sun Jul 17 07:15:06 EDT 2022
% Result : Unsatisfiable 0.58s 0.99s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n017.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 30 10:17:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) join(a,a) ?=? a
% 0.58/0.99
% 0.58/0.99 Detected structure: Orkus
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99 joined goal: 1 join(a,a) ?= a to a
% 0.58/0.99 goal joined
% 0.58/0.99 % SZS status Unsatisfiable
% 0.58/0.99 #START OF PROOF
% 0.58/0.99 % SZS output start CNFRefutation
% 0.58/0.99 cnf('0.1.0.0',axiom,
% 0.58/0.99 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26802_n017')).
% 0.58/0.99 cnf('0.1.1.0',plain,
% 0.58/0.99 ( X1 = meet(meet(join(X1,X2),join(X3,X1)),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.1.2.0',plain,
% 0.58/0.99 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_1]).
% 0.58/0.99 cnf('0.3.0.0',axiom,
% 0.58/0.99 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26802_n017')).
% 0.58/0.99 cnf('0.3.1.0',plain,
% 0.58/0.99 ( X1 = join(meet(X1,X2),meet(X1,join(X1,X2))) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.99 cnf('0.3.2.0',plain,
% 0.58/0.99 ( join(meet(X1,X2),meet(X1,join(X1,X2))) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_3]).
% 0.58/0.99 cnf('0.4.0.0',axiom,
% 0.58/0.99 ( X1 = join(meet(X1,X1),meet(X2,join(X1,X1))) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26802_n017')).
% 0.58/0.99 cnf('0.4.1.0',plain,
% 0.58/0.99 ( X1 = join(meet(X1,X1),meet(X2,join(X1,X1))) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.99 cnf('0.4.2.0',plain,
% 0.58/0.99 ( join(meet(X1,X1),meet(X2,join(X1,X1))) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_4]).
% 0.58/0.99 cnf('0.5.0.0',axiom,
% 0.58/0.99 ( X1 = join(join(meet(X1,X2),meet(X3,X1)),X1) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26802_n017')).
% 0.58/0.99 cnf('0.5.1.0',plain,
% 0.58/0.99 ( X1 = join(join(meet(X1,X2),meet(X3,X1)),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.99 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/0.99 cnf('0.5.2.0',plain,
% 0.58/0.99 ( join(join(meet(X1,X2),meet(X3,X1)),X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_5]).
% 0.58/0.99 cnf('0.6.0.0',plain,
% 0.58/0.99 ( X1 = join(meet(X1,X1),join(X1,X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.6.1.0',plain,
% 0.58/0.99 ( X1 = join(meet(X1,X1),join(X1,X1)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/0.99 [weight('<71,4,1,[1,0,0,4]>')]).
% 0.58/0.99 cnf('0.6.2.0',plain,
% 0.58/0.99 ( join(meet(X1,X1),join(X1,X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_6]).
% 0.58/0.99 cnf('0.7.0.0',plain,
% 0.58/0.99 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.1.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.7.1.0',plain,
% 0.58/0.99 ( X1 = meet(meet(join(X1,X2),X1),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/0.99 [weight('<71,5,1,[0,0,0,5]>')]).
% 0.58/0.99 cnf('0.7.2.0',plain,
% 0.58/0.99 ( meet(meet(join(X1,X2),X1),X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_7]).
% 0.58/0.99 cnf('0.8.0.0',plain,
% 0.58/0.99 ( X1 = join(join(meet(X1,X2),X1),X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.8.1.0',plain,
% 0.58/0.99 ( X1 = join(join(meet(X1,X2),X1),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.99 [weight('<71,5,1,[1,0,0,5]>')]).
% 0.58/0.99 cnf('0.8.2.0',plain,
% 0.58/0.99 ( join(join(meet(X1,X2),X1),X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_8]).
% 0.58/0.99 cnf('0.16.0.0',plain,
% 0.58/0.99 ( meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.1','L')]).
% 0.58/0.99 cnf('0.16.1.0',plain,
% 0.58/0.99 ( meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.58/0.99 [weight('<129,7,3,[1,0,0,2]>')]).
% 0.58/0.99 cnf('0.16.2.0',plain,
% 0.58/0.99 ( meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2) ),
% 0.58/0.99 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_16]).
% 0.58/0.99 cnf('0.17.0.0',plain,
% 0.58/0.99 ( meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.16.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.2','L')]).
% 0.58/0.99 cnf('0.17.0.1',plain,
% 0.58/0.99 ( X1 = meet(meet(meet(join(X1,X2),join(X3,X1)),X1),meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('0.17.0.2',plain,
% 0.58/0.99 ( X1 = meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.17.0.1','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1','L')]).
% 0.58/0.99 cnf('0.17.0.3',plain,
% 0.58/0.99 ( X1 = meet(X1,X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.17.0.2','0.1.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.2','L')]).
% 0.58/0.99 cnf('0.17.1.0',plain,
% 0.58/0.99 ( X1 = meet(X1,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.17.0.3']),
% 0.58/0.99 [weight('<19,16,1,[1,0,0,3]>')]).
% 0.58/0.99 cnf('0.17.2.0',plain,
% 0.58/0.99 ( meet(X1,X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_17]).
% 0.58/0.99 cnf('0.18.0.0',plain,
% 0.58/0.99 ( join(meet(X1,X1),join(X1,X1)) = X1 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.58/0.99 cnf('0.18.0.1',plain,
% 0.58/0.99 ( join(X1,join(X1,X1)) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.18.0.0','0.17.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.18.1.0',plain,
% 0.58/0.99 ( join(X1,join(X1,X1)) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.58/0.99 [weight('<41,6,17,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.18.2.0',plain,
% 0.58/0.99 ( join(X1,join(X1,X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_18]).
% 0.58/0.99 cnf('0.19.0.0',plain,
% 0.58/0.99 ( X1 = meet(join(X1,X1),X1) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.1.2.0','0.17.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.19.1.0',plain,
% 0.58/0.99 ( X1 = meet(join(X1,X1),X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/0.99 [weight('<41,17,1,[0,0,0,1]>')]).
% 0.58/0.99 cnf('0.19.2.0',plain,
% 0.58/0.99 ( meet(join(X1,X1),X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_19]).
% 0.58/0.99 cnf('0.20.0.0',plain,
% 0.58/0.99 ( join(X1,X1) = join(join(X1,join(X1,X1)),join(X1,X1)) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.8.2.0','0.19.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.1','L')]).
% 0.58/0.99 cnf('0.20.0.1',plain,
% 0.58/0.99 ( join(X1,X1) = join(X1,join(X1,X1)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.20.0.0','0.18.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.1','L')]).
% 0.58/0.99 cnf('0.20.0.2',plain,
% 0.58/0.99 ( join(X1,X1) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.20.0.1','0.18.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.20.1.0',plain,
% 0.58/0.99 ( join(X1,X1) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.20.0.2']),
% 0.58/0.99 [weight('<19,19,8,[0,0,0,2]>')]).
% 0.58/0.99 cnf('0.20.2.0',plain,
% 0.58/0.99 ( join(X1,X1) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_20]).
% 0.58/0.99 cnf('1.0.0.0',conjecture,
% 0.58/0.99 ( join(a,a) = a ),
% 0.58/0.99 file('/tmp/WALDMEISTER_26802_n017',conjecture_1)).
% 0.58/0.99 cnf('1.0.0.1',plain,
% 0.58/0.99 ( a = a ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.20.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('1.0.0.2',plain,
% 0.58/0.99 ( $true ),
% 0.58/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.99 [conjecture_1]).
% 0.58/0.99
% 0.58/0.99 Proved Goals:
% 0.58/0.99 No. 1: join(a,a) ?= a joined, current: a = a
% 0.58/0.99 1 goal was specified, which was proved.
% 0.58/0.99 % SZS output end CNFRefutation
% 0.58/0.99 #END OF PROOF
% 0.58/0.99
% 0.58/0.99 Problem WALDMEISTER_26802_n017
% 0.58/0.99 CPs.gen 175
% 0.58/0.99 CPs.reexp 0
% 0.58/0.99 Select 30
% 0.58/0.99 R 20
% 0.58/0.99 E 0
% 0.58/0.99 vsize 6.4M
% 0.58/0.99 rss 3.7M
% 0.58/0.99 process.time 0.003s
% 0.58/0.99 wallclock.time 0.003s
% 0.58/0.99 status S
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Waldmeister states: Goal proved.
% 0.58/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------