%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n015.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 07:14:48 EDT 2022
% Result : Unsatisfiable 0.80s 1.18s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n015.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 : Wed Jun 29 04:09:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/1.02 ********************************************************************************
% 0.60/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.02 * |/ | \/ | *
% 0.60/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.02 * A. Jaeger and B. Loechner | | *
% 0.60/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.02 ********************************************************************************
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 Goals:
% 0.60/1.02 ------
% 0.60/1.02
% 0.60/1.02 ( 1) join(join(a,b),c) ?=? join(a,join(b,c))
% 0.60/1.02
% 0.60/1.02 Detected structure: Orkus
% 0.60/1.02 ********************************************************************************
% 0.60/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.02 ********************************************************************************
% 0.60/1.02
% 0.80/1.18 joined goal: 1 join(join(a,b),c) ?= join(a,join(b,c)) to join(c,join(a,b))
% 0.80/1.18 goal joined
% 0.80/1.18 % SZS status Unsatisfiable
% 0.80/1.18 #START OF PROOF
% 0.80/1.18 % SZS output start CNFRefutation
% 0.80/1.18 cnf('0.1.0.0',axiom,
% 0.80/1.18 ( X1 = join(X1,X1) ),
% 0.80/1.18 file('/tmp/WALDMEISTER_24483_n015')).
% 0.80/1.18 cnf('0.1.1.0',plain,
% 0.80/1.18 ( X1 = join(X1,X1) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.80/1.18 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.80/1.18 cnf('0.1.2.0',plain,
% 0.80/1.18 ( join(X1,X1) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_1]).
% 0.80/1.18 cnf('0.2.0.0',axiom,
% 0.80/1.18 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 0.80/1.18 file('/tmp/WALDMEISTER_24483_n015')).
% 0.80/1.18 cnf('0.2.1.0',plain,
% 0.80/1.18 ( X1 = join(join(meet(X2,X1),meet(X3,X1)),X1) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.80/1.18 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.80/1.18 cnf('0.2.2.0',plain,
% 0.80/1.18 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_2]).
% 0.80/1.18 cnf('0.4.0.0',axiom,
% 0.80/1.18 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.80/1.18 file('/tmp/WALDMEISTER_24483_n015')).
% 0.80/1.18 cnf('0.4.1.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.80/1.18 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.80/1.18 cnf('0.4.2.0',plain,
% 0.80/1.18 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_4]).
% 0.80/1.18 cnf('0.6.0.0',axiom,
% 0.80/1.18 ( join(X1,X2) = join(X2,X1) ),
% 0.80/1.18 file('/tmp/WALDMEISTER_24483_n015')).
% 0.80/1.18 cnf('0.6.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(X2,X1) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.80/1.18 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.80/1.18 cnf('0.6.2.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(X2,X1) ),
% 0.80/1.18 inference(activate,[status(thm)],['0.6.1.0']),
% 0.80/1.18 [equation_1]).
% 0.80/1.18 cnf('0.8.0.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X1,X2)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2','L')]).
% 0.80/1.18 cnf('0.8.1.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X1,X2)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.80/1.18 [weight('<41,4,1,[1,0,0,2]>')]).
% 0.80/1.18 cnf('0.8.2.0',plain,
% 0.80/1.18 ( meet(X1,join(X1,X2)) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_6]).
% 0.80/1.18 cnf('0.9.0.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X2,X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.9.1.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X2,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.80/1.18 [weight('<41,4,1,[1,0,0,4]>')]).
% 0.80/1.18 cnf('0.9.2.0',plain,
% 0.80/1.18 ( meet(X1,join(X2,X1)) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_7]).
% 0.80/1.18 cnf('0.11.0.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.11.1.0',plain,
% 0.80/1.18 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.80/1.18 [weight('<71,6,4,[0,0,0,4]>')]).
% 0.80/1.18 cnf('0.11.2.0',plain,
% 0.80/1.18 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_9]).
% 0.80/1.18 cnf('0.13.0.0',plain,
% 0.80/1.18 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.80/1.18 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.80/1.18 cnf('0.13.1.0',plain,
% 0.80/1.18 ( join(join(meet(X1,X2),meet(X3,X2)),X2) = X2 ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.80/1.18 [weight('<109,2,6,[0,0,0,0]>')]).
% 0.80/1.18 cnf('0.13.1.1',plain,
% 0.80/1.18 ( join(X2,join(meet(X1,X2),meet(X3,X2))) = X2 ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.13.1.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L','L')]).
% 0.80/1.18 cnf('0.13.2.0',plain,
% 0.80/1.18 ( join(X1,join(meet(X2,X1),meet(X3,X1))) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.13.1.1',theory(equality)]),
% 0.80/1.18 [u,rule_11]).
% 0.80/1.18 cnf('0.14.0.0',plain,
% 0.80/1.18 ( X1 = join(X1,meet(X2,X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2','L')]).
% 0.80/1.18 cnf('0.14.1.0',plain,
% 0.80/1.18 ( X1 = join(X1,meet(X2,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.80/1.18 [weight('<41,13,1,[1,0,0,2]>')]).
% 0.80/1.18 cnf('0.14.2.0',plain,
% 0.80/1.18 ( join(X1,meet(X2,X1)) = X1 ),
% 0.80/1.18 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_12]).
% 0.80/1.18 cnf('0.20.0.0',plain,
% 0.80/1.18 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X2)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.11.2.0','0.14.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.20.1.0',plain,
% 0.80/1.18 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X2)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.80/1.18 [weight('<87,14,11,[0,0,0,4]>')]).
% 0.80/1.18 cnf('0.20.2.0',plain,
% 0.80/1.18 ( meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_18]).
% 0.80/1.18 cnf('0.56.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X2,meet(X4,join(X1,join(X2,X3))))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.1','L')]).
% 0.80/1.18 cnf('0.56.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X2,meet(X4,join(X1,join(X2,X3))))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.80/1.18 [weight('<?,13,4,[1,0,0,3]>')]).
% 0.80/1.18 cnf('0.56.2.0',plain,
% 0.80/1.18 ( join(join(X1,join(X2,X3)),join(X2,meet(X4,join(X1,join(X2,X3))))) = join(X1,join(X2,X3)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_54]).
% 0.80/1.18 cnf('0.107.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.13.2.0','0.8.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.1','L')]).
% 0.80/1.18 cnf('0.107.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.80/1.18 [weight('<?,13,8,[1,0,0,3]>')]).
% 0.80/1.18 cnf('0.107.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_105]).
% 0.80/1.18 cnf('0.108.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(X1,meet(X3,X2))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.107.2.0','0.20.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.108.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(X1,meet(X3,X2))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.108.0.0']),
% 0.80/1.18 [weight('<129,107,20,[1,0,0,6]>')]).
% 0.80/1.18 cnf('0.108.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,X2) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_106]).
% 0.80/1.18 cnf('0.110.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X2,X1),join(X1,meet(X3,X2))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.108.2.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.1','L')]).
% 0.80/1.18 cnf('0.110.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X2,X1),join(X1,meet(X3,X2))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.110.0.0']),
% 0.80/1.18 [weight('<129,108,6,[1,0,0,1]>')]).
% 0.80/1.18 cnf('0.110.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X2,meet(X3,X1))) = join(X2,X1) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_108]).
% 0.80/1.18 cnf('0.113.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(meet(X3,X2),X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.108.2.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2','L')]).
% 0.80/1.18 cnf('0.113.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(meet(X3,X2),X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.80/1.18 [weight('<129,108,6,[1,0,0,4]>')]).
% 0.80/1.18 cnf('0.113.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(meet(X3,X2),X1)) = join(X1,X2) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_111]).
% 0.80/1.18 cnf('0.117.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X2,X1),join(meet(X3,X2),X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.110.2.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2','L')]).
% 0.80/1.18 cnf('0.117.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X2,X1),join(meet(X3,X2),X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.117.0.0']),
% 0.80/1.18 [weight('<129,110,6,[1,0,0,4]>')]).
% 0.80/1.18 cnf('0.117.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(meet(X3,X1),X2)) = join(X2,X1) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_115]).
% 0.80/1.18 cnf('0.151.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X2,X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.56.2.0','0.8.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.151.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X2,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.151.0.0']),
% 0.80/1.18 [weight('<149,56,8,[1,0,0,8]>')]).
% 0.80/1.18 cnf('0.151.1.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X2,X1),join(X1,join(X2,X3))) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.151.1.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.151.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X2,join(X1,X3))) = join(X2,join(X1,X3)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.151.1.1',theory(equality)]),
% 0.80/1.18 [x,rule_149]).
% 0.80/1.18 cnf('0.152.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = meet(join(X1,X2),join(X2,join(X1,X3))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.8.2.0','0.151.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2','L')]).
% 0.80/1.18 cnf('0.152.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = meet(join(X1,X2),join(X2,join(X1,X3))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.152.0.0']),
% 0.80/1.18 [weight('<129,151,8,[0,0,0,2]>')]).
% 0.80/1.18 cnf('0.152.2.0',plain,
% 0.80/1.18 ( meet(join(X1,X2),join(X2,join(X1,X3))) = join(X1,X2) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_150]).
% 0.80/1.18 cnf('0.161.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X1,X2)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.107.2.0','0.4.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.161.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X1,X2)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.161.0.0']),
% 0.80/1.18 [weight('<149,107,4,[1,0,0,6]>')]).
% 0.80/1.18 cnf('0.161.1.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,X2),join(X1,join(X2,X3))) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.161.1.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.161.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,X3)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.161.1.1',theory(equality)]),
% 0.80/1.18 [x,rule_159]).
% 0.80/1.18 cnf('0.162.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X1,X3)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.107.2.0','0.11.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.162.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X1,X3)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.162.0.0']),
% 0.80/1.18 [weight('<149,107,11,[1,0,0,6]>')]).
% 0.80/1.18 cnf('0.162.1.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,X3),join(X1,join(X2,X3))) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.162.1.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.162.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,join(X3,X2))) = join(X1,join(X3,X2)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.162.1.1',theory(equality)]),
% 0.80/1.18 [x,rule_160]).
% 0.80/1.18 cnf('0.172.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X3,X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.113.2.0','0.9.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.1','L')]).
% 0.80/1.18 cnf('0.172.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(X3,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.172.0.0']),
% 0.80/1.18 [weight('<149,113,9,[1,0,0,5]>')]).
% 0.80/1.18 cnf('0.172.1.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X3,X1),join(X1,join(X2,X3))) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.172.1.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.172.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X2,join(X3,X1))) = join(X2,join(X3,X1)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.172.1.1',theory(equality)]),
% 0.80/1.18 [x,rule_170]).
% 0.80/1.18 cnf('0.175.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(join(X2,X3),X1),join(X3,X1)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.117.2.0','0.9.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.1','L')]).
% 0.80/1.18 cnf('0.175.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(join(X2,X3),X1),join(X3,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.175.0.0']),
% 0.80/1.18 [weight('<149,117,9,[1,0,0,5]>')]).
% 0.80/1.18 cnf('0.175.1.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X3,X1),join(join(X2,X3),X1)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.175.1.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.175.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(join(X3,X1),X2)) = join(X2,join(X3,X1)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.175.1.1',theory(equality)]),
% 0.80/1.18 [x,rule_173]).
% 0.80/1.18 cnf('0.209.0.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.13.2.0','0.9.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.1','L')]).
% 0.80/1.18 cnf('0.209.1.0',plain,
% 0.80/1.18 ( join(X1,X2) = join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.209.0.0']),
% 0.80/1.18 [weight('<?,13,9,[1,0,0,3]>')]).
% 0.80/1.18 cnf('0.209.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_207]).
% 0.80/1.18 cnf('0.210.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,join(X2,X3)),join(join(X2,X3),join(X2,X1))) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.209.2.0','0.152.2.0',theory(equality)]),
% 0.80/1.18 [pos('L.2.2','L')]).
% 0.80/1.18 cnf('0.210.0.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X2,X3),join(X2,X1)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.210.0.0','0.172.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.210.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X2,X3),join(X2,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.210.0.1']),
% 0.80/1.18 [weight('<103,209,152,[1,0,0,6]>')]).
% 0.80/1.18 cnf('0.210.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,X3)) = join(X3,join(X1,X2)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.80/1.18 [x,rule_208]).
% 0.80/1.18 cnf('0.211.0.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,X3)) ),
% 0.80/1.18 inference(interreduction_right,[status(thm)],['0.161.2.0'])).
% 0.80/1.18 cnf('0.211.0.1',plain,
% 0.80/1.18 ( join(join(X2,X3),join(X1,X2)) = join(X1,join(X2,X3)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.211.0.0','0.210.2.0',theory(equality)]),
% 0.80/1.18 [pos('L','L')]).
% 0.80/1.18 cnf('0.211.1.0',plain,
% 0.80/1.18 ( join(join(X2,X3),join(X1,X2)) = join(X1,join(X2,X3)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.211.0.1']),
% 0.80/1.18 [weight('<103,161,210,[0,0,0,0]>')]).
% 0.80/1.18 cnf('0.211.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X3,X1)) = join(X3,join(X1,X2)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 0.80/1.18 [u,rule_209]).
% 0.80/1.18 cnf('0.212.0.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X1,join(X3,X2))) = join(X1,join(X3,X2)) ),
% 0.80/1.18 inference(interreduction_right,[status(thm)],['0.162.2.0'])).
% 0.80/1.18 cnf('0.212.0.1',plain,
% 0.80/1.18 ( join(join(X3,X2),join(X1,X2)) = join(X1,join(X3,X2)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.212.0.0','0.210.2.0',theory(equality)]),
% 0.80/1.18 [pos('L','L')]).
% 0.80/1.18 cnf('0.212.1.0',plain,
% 0.80/1.18 ( join(join(X3,X2),join(X1,X2)) = join(X1,join(X3,X2)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.212.0.1']),
% 0.80/1.18 [weight('<103,162,210,[0,0,0,0]>')]).
% 0.80/1.18 cnf('0.212.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X3,X2)) = join(X3,join(X1,X2)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.212.1.0',theory(equality)]),
% 0.80/1.18 [u,rule_210]).
% 0.80/1.18 cnf('0.217.0.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(join(X3,X1),X2)) = join(X2,join(X3,X1)) ),
% 0.80/1.18 inference(interreduction_right,[status(thm)],['0.175.2.0'])).
% 0.80/1.18 cnf('0.217.0.1',plain,
% 0.80/1.18 ( join(join(X3,X1),join(X1,X2)) = join(X2,join(X3,X1)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.217.0.0','0.212.2.0',theory(equality)]),
% 0.80/1.18 [pos('L','L')]).
% 0.80/1.18 cnf('0.217.1.0',plain,
% 0.80/1.18 ( join(join(X3,X1),join(X1,X2)) = join(X2,join(X3,X1)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.217.0.1']),
% 0.80/1.18 [weight('<103,175,212,[0,0,0,0]>')]).
% 0.80/1.18 cnf('0.217.2.0',plain,
% 0.80/1.18 ( join(join(X1,X2),join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.80/1.18 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 0.80/1.18 [u,rule_215]).
% 0.80/1.18 cnf('0.218.0.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,X2),join(X2,X3)) ),
% 0.80/1.18 inference(cp,[status(thm)],['0.211.2.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L','L')]).
% 0.80/1.18 cnf('0.218.1.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(join(X1,X2),join(X2,X3)) ),
% 0.80/1.18 inference(weigh,[status(thm)],['0.218.0.0']),
% 0.80/1.18 [weight('<103,211,6,[1,0,0,0]>')]).
% 0.80/1.18 cnf('0.218.1.1',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['0.218.1.0','0.217.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('0.218.2.0',plain,
% 0.80/1.18 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.80/1.18 inference(activate,[status(thm)],['0.218.1.1']),
% 0.80/1.18 [equation_3]).
% 0.80/1.18 cnf('1.0.0.0',conjecture,
% 0.80/1.18 ( join(join(a,b),c) = join(a,join(b,c)) ),
% 0.80/1.18 file('/tmp/WALDMEISTER_24483_n015',conjecture_1)).
% 0.80/1.18 cnf('1.0.0.1',plain,
% 0.80/1.18 ( join(c,join(a,b)) = join(a,join(b,c)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.80/1.18 [pos('L','L')]).
% 0.80/1.18 cnf('1.0.0.2',plain,
% 0.80/1.18 ( join(c,join(a,b)) = join(c,join(a,b)) ),
% 0.80/1.18 inference(reduction,[status(thm)],['1.0.0.1','0.218.2.0',theory(equality)]),
% 0.80/1.18 [pos('R','L')]).
% 0.80/1.18 cnf('1.0.0.3',plain,
% 0.80/1.18 ( $true ),
% 0.80/1.18 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.80/1.18 [conjecture_1]).
% 0.80/1.18
% 0.80/1.18 Proved Goals:
% 0.80/1.18 No. 1: join(join(a,b),c) ?= join(a,join(b,c)) joined, current: join(c,join(a,b)) = join(c,join(a,b))
% 0.80/1.18 1 goal was specified, which was proved.
% 0.80/1.18 % SZS output end CNFRefutation
% 0.80/1.18 #END OF PROOF
% 0.80/1.18
% 0.80/1.18 Problem WALDMEISTER_24483_n015
% 0.80/1.18 CPs.gen 55934
% 0.80/1.18 CPs.reexp 0
% 0.80/1.18 Select 4374
% 0.80/1.18 R 215
% 0.80/1.18 E 3
% 0.80/1.18 vsize 6.4M
% 0.80/1.18 rss 4.0M
% 0.80/1.18 process.time 0.161s
% 0.80/1.18 wallclock.time 0.161s
% 0.80/1.18 status S
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Waldmeister states: Goal proved.
% 0.80/1.18 % SZS status Unsatisfiable
%------------------------------------------------------------------------------