TSTP Solution File: LAT006-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n014.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 07:14:37 EDT 2022
% Result : Unsatisfiable 0.57s 0.97s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 04:48:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) meet(meet(a,b),c) ?=? meet(a,meet(b,c))
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.97 joined goal: 1 meet(meet(a,b),c) ?= meet(a,meet(b,c)) to meet(meet(c,b),a)
% 0.57/0.97 goal joined
% 0.57/0.97 % SZS status Unsatisfiable
% 0.57/0.97 #START OF PROOF
% 0.57/0.97 % SZS output start CNFRefutation
% 0.57/0.97 cnf('0.1.0.0',axiom,
% 0.57/0.97 ( X1 = meet(X1,join(X1,X2)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_14067_n014')).
% 0.57/0.97 cnf('0.1.1.0',plain,
% 0.57/0.97 ( X1 = meet(X1,join(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.1.2.0',plain,
% 0.57/0.97 ( meet(X1,join(X1,X2)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_1]).
% 0.57/0.97 cnf('0.2.0.0',axiom,
% 0.57/0.97 ( meet(X1,join(X2,X3)) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_14067_n014')).
% 0.57/0.97 cnf('0.2.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X3)) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.2.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X3,X1)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_2]).
% 0.57/0.97 cnf('0.3.0.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.3.1.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.97 [weight('<119,2,1,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.3.2.0',plain,
% 0.57/0.97 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_3]).
% 0.57/0.97 cnf('0.5.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.5.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,X1))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.97 [weight('<129,2,1,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.5.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_5]).
% 0.57/0.97 cnf('0.6.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.6.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.97 [weight('<53,5,1,[1,0,0,4]>')]).
% 0.57/0.97 cnf('0.6.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X2) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_6]).
% 0.57/0.97 cnf('0.7.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.7.0.1',plain,
% 0.57/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.7.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.7.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.57/0.97 [weight('<103,6,2,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.7.2.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_7]).
% 0.57/0.97 cnf('0.8.0.0',plain,
% 0.57/0.97 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X3,X1),meet(X2,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.8.0.1',plain,
% 0.57/0.97 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.8.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.8.1.0',plain,
% 0.57/0.97 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.57/0.97 [weight('<103,6,2,[0,0,0,4]>')]).
% 0.57/0.97 cnf('0.8.2.0',plain,
% 0.57/0.97 ( meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_8]).
% 0.57/0.97 cnf('0.9.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,meet(X1,join(X3,X2))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.9.0.1',plain,
% 0.57/0.97 ( meet(X1,join(X2,X3)) = meet(X1,meet(X1,join(X3,X2))) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.9.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X3)) = meet(X1,meet(X1,join(X3,X2))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.57/0.97 [weight('<103,8,2,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.9.2.0',plain,
% 0.57/0.97 ( meet(X1,meet(X1,join(X2,X3))) = meet(X1,join(X3,X2)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_9]).
% 0.57/0.97 cnf('0.10.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.10.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.57/0.97 [weight('<53,9,1,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.10.2.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_10]).
% 0.57/0.97 cnf('0.11.0.0',plain,
% 0.57/0.97 ( meet(X1,X1) = X1 ),
% 0.57/0.97 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.11.1.0',plain,
% 0.57/0.97 ( meet(X1,X1) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.97 [weight('<19,10,1,[1,0,0,0]>')]).
% 0.57/0.97 cnf('0.11.2.0',plain,
% 0.57/0.97 ( meet(X1,X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_11]).
% 0.57/0.97 cnf('0.12.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = meet(X1,X1) ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.57/0.97 cnf('0.12.0.1',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.12.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.57/0.97 [weight('<41,10,11,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.12.2.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X1)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_12]).
% 0.57/0.97 cnf('0.13.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X1,X2)) = join(meet(X2,X1),X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.13.0.1',plain,
% 0.57/0.97 ( X1 = join(meet(X2,X1),X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.13.1.0',plain,
% 0.57/0.97 ( X1 = join(meet(X2,X1),X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.57/0.97 [weight('<41,11,2,[0,0,0,4]>')]).
% 0.57/0.97 cnf('0.13.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),X2) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_13]).
% 0.57/0.97 cnf('0.14.0.0',plain,
% 0.57/0.97 ( X1 = join(X1,X1) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.14.1.0',plain,
% 0.57/0.97 ( X1 = join(X1,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.57/0.97 [weight('<19,13,11,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.14.2.0',plain,
% 0.57/0.97 ( join(X1,X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_14]).
% 0.57/0.97 cnf('0.15.0.0',plain,
% 0.57/0.97 ( join(X1,meet(X2,join(X1,X1))) = meet(X1,join(X2,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.14.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.15.0.1',plain,
% 0.57/0.97 ( join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.15.0.2',plain,
% 0.57/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.15.0.1','0.12.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.15.1.0',plain,
% 0.57/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.15.0.2']),
% 0.57/0.97 [weight('<41,14,3,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.15.2.0',plain,
% 0.57/0.97 ( join(X1,meet(X2,X1)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_15]).
% 0.57/0.97 cnf('0.17.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,join(X1,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.17.0.1',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.17.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.17.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.57/0.97 [weight('<48,14,2,[1,0,0,0]>')]).
% 0.57/0.97 cnf('0.17.2.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X2,X1) ),
% 0.57/0.97 inference(activate,[status(thm)],['0.17.1.0']),
% 0.57/0.97 [equation_1]).
% 0.57/0.97 cnf('0.19.0.0',plain,
% 0.57/0.97 ( X1 = join(X1,meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.15.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.19.1.0',plain,
% 0.57/0.97 ( X1 = join(X1,meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.57/0.97 [weight('<41,17,15,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.19.2.0',plain,
% 0.57/0.97 ( join(X1,meet(X1,X2)) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_18]).
% 0.57/0.97 cnf('0.51.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.51.1.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.57/0.97 [weight('<103,17,2,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.51.2.0',plain,
% 0.57/0.97 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X3,X2)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_49]).
% 0.57/0.97 cnf('0.52.0.0',plain,
% 0.57/0.97 ( meet(X1,join(X2,meet(X3,X2))) = meet(X1,meet(X2,join(X3,X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.8.2.0','0.51.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.52.0.1',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.52.0.0','0.15.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.52.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.57/0.97 [weight('<87,51,8,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.52.2.0',plain,
% 0.57/0.97 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_50]).
% 0.57/0.97 cnf('0.54.0.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X1,meet(join(X3,X1),X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.52.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.54.1.0',plain,
% 0.57/0.97 ( meet(X1,X2) = meet(X1,meet(join(X3,X1),X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.57/0.97 [weight('<87,52,17,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.54.2.0',plain,
% 0.57/0.97 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_52]).
% 0.57/0.97 cnf('0.70.0.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X1,X2),meet(X3,X1)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.52.2.0','0.19.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.70.1.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X1,X2),meet(X3,X1)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.57/0.97 [weight('<103,52,19,[1,0,0,4]>')]).
% 0.57/0.97 cnf('0.70.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,X2),X3) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_68]).
% 0.57/0.97 cnf('0.71.0.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X1,X2),meet(X2,X3)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.54.2.0','0.15.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.1','L')]).
% 0.57/0.97 cnf('0.71.1.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X1,X2),meet(X2,X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.57/0.97 [weight('<103,54,15,[1,0,0,3]>')]).
% 0.57/0.97 cnf('0.71.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_69]).
% 0.57/0.97 cnf('0.73.0.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),meet(X1,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.70.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.73.1.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),meet(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.57/0.97 [weight('<103,70,17,[1,0,0,0]>')]).
% 0.57/0.97 cnf('0.73.1.1',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),X2) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.73.1.0','0.71.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.73.2.0',plain,
% 0.57/0.97 ( meet(meet(X1,X2),X3) = meet(meet(X3,X1),X2) ),
% 0.57/0.97 inference(activate,[status(thm)],['0.73.1.1']),
% 0.57/0.97 [equation_3]).
% 0.57/0.97 cnf('1.0.0.0',conjecture,
% 0.57/0.97 ( meet(meet(a,b),c) = meet(a,meet(b,c)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_14067_n014',conjecture_1)).
% 0.57/0.97 cnf('1.0.0.1',plain,
% 0.57/0.97 ( meet(meet(b,a),c) = meet(a,meet(b,c)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('1.0.0.2',plain,
% 0.57/0.97 ( meet(meet(b,a),c) = meet(a,meet(c,b)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('1.0.0.3',plain,
% 0.57/0.97 ( meet(meet(b,a),c) = meet(meet(c,b),a) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.2','0.17.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('1.0.0.4',plain,
% 0.57/0.97 ( meet(meet(c,b),a) = meet(meet(c,b),a) ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.3','0.73.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('1.0.0.5',plain,
% 0.57/0.97 ( $true ),
% 0.57/0.97 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.57/0.97 [conjecture_1]).
% 0.57/0.97
% 0.57/0.97 Proved Goals:
% 0.57/0.97 No. 1: meet(meet(a,b),c) ?= meet(a,meet(b,c)) joined, current: meet(meet(c,b),a) = meet(meet(c,b),a)
% 0.57/0.97 1 goal was specified, which was proved.
% 0.57/0.97 % SZS output end CNFRefutation
% 0.57/0.97 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_14067_n014
% 0.57/0.97 CPs.gen 3909
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 388
% 0.57/0.97 R 70
% 0.57/0.97 E 3
% 0.57/0.97 vsize 6.4M
% 0.57/0.97 rss 3.7M
% 0.57/0.97 process.time 0.015s
% 0.57/0.97 wallclock.time 0.015s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: Goal proved.
% 0.57/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------