TSTP Solution File: LAT168-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 07:15:29 EDT 2022
% Result : Unsatisfiable 0.70s 1.13s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT168-1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 15:22:31 EDT 2022
% 0.19/0.34 % 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) meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) ?=? meet(a,join(b,c))
% 0.58/0.99
% 0.58/0.99 Detected structure: Verband
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.70/1.13 joined goal: 1 meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) ?= meet(a,join(b,c)) to meet(a,join(b,c))
% 0.70/1.13 goal joined
% 0.70/1.13 % SZS status Unsatisfiable
% 0.70/1.13 #START OF PROOF
% 0.70/1.13 % SZS output start CNFRefutation
% 0.70/1.13 cnf('0.1.0.0',axiom,
% 0.70/1.13 ( X1 = join(X1,X1) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.1.1.0',plain,
% 0.70/1.13 ( X1 = join(X1,X1) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.70/1.13 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.70/1.13 cnf('0.1.2.0',plain,
% 0.70/1.13 ( join(X1,X1) = X1 ),
% 0.70/1.13 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_1]).
% 0.70/1.13 cnf('0.2.0.0',axiom,
% 0.70/1.13 ( X1 = join(X1,meet(X1,X2)) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.2.1.0',plain,
% 0.70/1.13 ( X1 = join(X1,meet(X1,X2)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.70/1.13 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.70/1.13 cnf('0.2.2.0',plain,
% 0.70/1.13 ( join(X1,meet(X1,X2)) = X1 ),
% 0.70/1.13 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_2]).
% 0.70/1.13 cnf('0.3.0.0',axiom,
% 0.70/1.13 ( X1 = meet(X1,X1) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.3.1.0',plain,
% 0.70/1.13 ( X1 = meet(X1,X1) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.70/1.13 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.70/1.13 cnf('0.3.2.0',plain,
% 0.70/1.13 ( meet(X1,X1) = X1 ),
% 0.70/1.13 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_3]).
% 0.70/1.13 cnf('0.4.0.0',axiom,
% 0.70/1.13 ( X1 = meet(X1,join(X1,X2)) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.4.1.0',plain,
% 0.70/1.13 ( X1 = meet(X1,join(X1,X2)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.70/1.13 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.70/1.13 cnf('0.4.2.0',plain,
% 0.70/1.13 ( meet(X1,join(X1,X2)) = X1 ),
% 0.70/1.13 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_4]).
% 0.70/1.13 cnf('0.5.0.0',axiom,
% 0.70/1.13 ( join(X1,X2) = join(X2,X1) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.5.1.0',plain,
% 0.70/1.13 ( join(X1,X2) = join(X2,X1) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.70/1.13 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.70/1.13 cnf('0.5.2.0',plain,
% 0.70/1.13 ( join(X1,X2) = join(X2,X1) ),
% 0.70/1.13 inference(activate,[status(thm)],['0.5.1.0']),
% 0.70/1.13 [equation_1]).
% 0.70/1.13 cnf('0.6.0.0',axiom,
% 0.70/1.13 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.6.1.0',plain,
% 0.70/1.13 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.70/1.13 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.70/1.13 cnf('0.6.2.0',plain,
% 0.70/1.13 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_5]).
% 0.70/1.13 cnf('0.7.0.0',axiom,
% 0.70/1.13 ( join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.7.1.0',plain,
% 0.70/1.13 ( join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.70/1.13 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.70/1.13 cnf('0.7.2.0',plain,
% 0.70/1.13 ( join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_6]).
% 0.70/1.13 cnf('0.8.0.0',axiom,
% 0.70/1.13 ( meet(X1,X2) = meet(X2,X1) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.8.1.0',plain,
% 0.70/1.13 ( meet(X1,X2) = meet(X2,X1) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.70/1.13 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.70/1.13 cnf('0.8.2.0',plain,
% 0.70/1.13 ( meet(X1,X2) = meet(X2,X1) ),
% 0.70/1.13 inference(activate,[status(thm)],['0.8.1.0']),
% 0.70/1.13 [equation_2]).
% 0.70/1.13 cnf('0.9.0.0',axiom,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020')).
% 0.70/1.13 cnf('0.9.1.0',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.70/1.13 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.70/1.13 cnf('0.9.2.0',plain,
% 0.70/1.13 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_7]).
% 0.70/1.13 cnf('0.10.0.0',plain,
% 0.70/1.13 ( X1 = meet(X1,join(X2,X1)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.10.1.0',plain,
% 0.70/1.13 ( X1 = meet(X1,join(X2,X1)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.70/1.13 [weight('<5,5,4,[0,0,0,2]>')]).
% 0.70/1.13 cnf('0.10.2.0',plain,
% 0.70/1.13 ( meet(X1,join(X2,X1)) = X1 ),
% 0.70/1.13 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_8]).
% 0.70/1.13 cnf('0.11.0.0',plain,
% 0.70/1.13 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.11.1.0',plain,
% 0.70/1.13 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.70/1.13 [weight('<5,6,1,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.11.2.0',plain,
% 0.70/1.13 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_9]).
% 0.70/1.13 cnf('0.12.0.0',plain,
% 0.70/1.13 ( X1 = join(X1,meet(X2,X1)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.12.1.0',plain,
% 0.70/1.13 ( X1 = join(X1,meet(X2,X1)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.70/1.13 [weight('<5,8,2,[0,0,0,2]>')]).
% 0.70/1.13 cnf('0.12.2.0',plain,
% 0.70/1.13 ( join(X1,meet(X2,X1)) = X1 ),
% 0.70/1.13 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_10]).
% 0.70/1.13 cnf('0.13.0.0',plain,
% 0.70/1.13 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.13.1.0',plain,
% 0.70/1.13 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.70/1.13 [weight('<5,9,3,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.13.2.0',plain,
% 0.70/1.13 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_11]).
% 0.70/1.13 cnf('0.16.0.0',plain,
% 0.70/1.13 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.16.1.0',plain,
% 0.70/1.13 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.70/1.13 [weight('<7,6,2,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.16.2.0',plain,
% 0.70/1.13 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_14]).
% 0.70/1.13 cnf('0.17.0.0',plain,
% 0.70/1.13 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.17.1.0',plain,
% 0.70/1.13 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.70/1.13 [weight('<7,9,4,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.17.2.0',plain,
% 0.70/1.13 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_15]).
% 0.70/1.13 cnf('0.19.0.0',plain,
% 0.70/1.13 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.19.1.0',plain,
% 0.70/1.13 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.70/1.13 [weight('<7,10,9,[0,0,0,1]>')]).
% 0.70/1.13 cnf('0.19.2.0',plain,
% 0.70/1.13 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_17]).
% 0.70/1.13 cnf('0.28.0.0',plain,
% 0.70/1.13 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.28.1.0',plain,
% 0.70/1.13 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.70/1.13 [weight('<7,16,5,[1,0,0,2]>')]).
% 0.70/1.13 cnf('0.28.2.0',plain,
% 0.70/1.13 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_26]).
% 0.70/1.13 cnf('0.41.0.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.41.1.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.70/1.13 [weight('<9,16,10,[0,0,0,2]>')]).
% 0.70/1.13 cnf('0.41.1.1',plain,
% 0.70/1.13 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('R','L')]).
% 0.70/1.13 cnf('0.41.2.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 0.70/1.13 [x,rule_39]).
% 0.70/1.13 cnf('0.42.0.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.41.2.0','0.11.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.42.0.1',plain,
% 0.70/1.13 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.42.0.0','0.10.2.0',theory(equality)]),
% 0.70/1.13 [pos('R','L')]).
% 0.70/1.13 cnf('0.42.1.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.70/1.13 [weight('<7,41,11,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.42.2.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_40]).
% 0.70/1.13 cnf('0.44.0.0',plain,
% 0.70/1.13 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.42.2.0','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.44.1.0',plain,
% 0.70/1.13 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.70/1.13 [weight('<7,42,8,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.44.2.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),join(X2,X3)) = join(X2,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_42]).
% 0.70/1.13 cnf('0.46.0.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.46.1.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.70/1.13 [weight('<9,17,12,[0,0,0,2]>')]).
% 0.70/1.13 cnf('0.46.1.1',plain,
% 0.70/1.13 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.46.1.0','0.5.2.0',theory(equality)]),
% 0.70/1.13 [pos('R','L')]).
% 0.70/1.13 cnf('0.46.2.0',plain,
% 0.70/1.13 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 0.70/1.13 [x,rule_44]).
% 0.70/1.13 cnf('0.47.0.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.46.2.0','0.13.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.47.0.1',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.47.0.0','0.12.2.0',theory(equality)]),
% 0.70/1.13 [pos('R','L')]).
% 0.70/1.13 cnf('0.47.1.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.70/1.13 [weight('<7,46,13,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.47.2.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.70/1.13 [u,rule_45]).
% 0.70/1.13 cnf('0.49.0.0',plain,
% 0.70/1.13 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.47.2.0','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.49.1.0',plain,
% 0.70/1.13 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.70/1.13 [weight('<7,47,8,[1,0,0,4]>')]).
% 0.70/1.13 cnf('0.49.2.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_47]).
% 0.70/1.13 cnf('0.110.0.0',plain,
% 0.70/1.13 ( meet(meet(X1,X2),X3) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.47.2.0','0.44.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.110.0.1',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.110.0.0','0.9.2.0',theory(equality)]),
% 0.70/1.13 [pos('L','L')]).
% 0.70/1.13 cnf('0.110.0.2',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.110.0.1','0.9.2.0',theory(equality)]),
% 0.70/1.13 [pos('R.2','L')]).
% 0.70/1.13 cnf('0.110.1.0',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.110.0.2']),
% 0.70/1.13 [weight('<9,47,44,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.110.2.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X3,meet(X1,X4))) = meet(X3,meet(X1,X4)) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.70/1.13 [x,rule_108]).
% 0.70/1.13 cnf('0.113.0.0',plain,
% 0.70/1.13 ( meet(meet(X1,X2),X3) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.49.2.0','0.42.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.1','L')]).
% 0.70/1.13 cnf('0.113.0.1',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.113.0.0','0.9.2.0',theory(equality)]),
% 0.70/1.13 [pos('L','L')]).
% 0.70/1.13 cnf('0.113.1.0',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.113.0.1']),
% 0.70/1.13 [weight('<9,49,42,[1,0,0,1]>')]).
% 0.70/1.13 cnf('0.113.1.1',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.113.1.0','0.110.2.0',theory(equality)]),
% 0.70/1.13 [pos('R','L')]).
% 0.70/1.13 cnf('0.113.2.0',plain,
% 0.70/1.13 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 0.70/1.13 inference(activate,[status(thm)],['0.113.1.1']),
% 0.70/1.13 [equation_4]).
% 0.70/1.13 cnf('0.177.0.0',plain,
% 0.70/1.13 ( meet(join(X1,meet(X2,X3)),X4) = meet(join(X1,meet(X2,X3)),meet(join(X2,X1),X4)) ),
% 0.70/1.13 inference(cp,[status(thm)],['0.19.2.0','0.28.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2.1','L')]).
% 0.70/1.13 cnf('0.177.1.0',plain,
% 0.70/1.13 ( meet(join(X1,meet(X2,X3)),X4) = meet(join(X1,meet(X2,X3)),meet(join(X2,X1),X4)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.177.0.0']),
% 0.70/1.13 [weight('<11,28,19,[0,0,0,3]>')]).
% 0.70/1.13 cnf('0.177.1.1',plain,
% 0.70/1.13 ( meet(join(X1,meet(X2,X3)),X4) = meet(join(X2,X1),meet(X4,join(X1,meet(X2,X3)))) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.177.1.0','0.113.2.0',theory(equality)]),
% 0.70/1.13 [pos('R','R')]).
% 0.70/1.13 cnf('0.177.2.0',plain,
% 0.70/1.13 ( meet(join(X1,X2),meet(X3,join(X2,meet(X1,X4)))) = meet(join(X2,meet(X1,X4)),X3) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.177.1.1',theory(equality)]),
% 0.70/1.13 [x,rule_169]).
% 0.70/1.13 cnf('0.178.0.0',plain,
% 0.70/1.13 ( join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.70/1.13 cnf('0.178.0.1',plain,
% 0.70/1.13 ( join(X1,meet(join(X2,meet(X1,X3)),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.178.0.0','0.177.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.178.1.0',plain,
% 0.70/1.13 ( join(X1,meet(join(X2,meet(X1,X3)),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 inference(weigh,[status(thm)],['0.178.0.1']),
% 0.70/1.13 [weight('<11,7,177,[0,0,0,0]>')]).
% 0.70/1.13 cnf('0.178.1.1',plain,
% 0.70/1.13 ( join(X1,meet(join(X1,X3),join(X2,meet(X1,X3)))) = meet(join(X1,X2),join(X1,X3)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['0.178.1.0','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('0.178.2.0',plain,
% 0.70/1.13 ( join(X1,meet(join(X1,X2),join(X3,meet(X1,X2)))) = meet(join(X1,X3),join(X1,X2)) ),
% 0.70/1.13 inference(orient,[status(thm)],['0.178.1.1',theory(equality)]),
% 0.70/1.13 [u,rule_170]).
% 0.70/1.13 cnf('1.0.0.0',conjecture,
% 0.70/1.13 ( meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) = meet(a,join(b,c)) ),
% 0.70/1.13 file('/tmp/WALDMEISTER_14440_n020',conjecture_1)).
% 0.70/1.13 cnf('1.0.0.1',plain,
% 0.70/1.13 ( meet(a,join(b,meet(join(b,a),join(c,meet(a,b))))) = meet(a,join(b,c)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['1.0.0.0','0.5.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2.2.1','L')]).
% 0.70/1.13 cnf('1.0.0.2',plain,
% 0.70/1.13 ( meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))) = meet(a,join(b,c)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['1.0.0.1','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2.2.2.2','L')]).
% 0.70/1.13 cnf('1.0.0.3',plain,
% 0.70/1.13 ( meet(a,meet(join(b,c),join(b,a))) = meet(a,join(b,c)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['1.0.0.2','0.178.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('1.0.0.4',plain,
% 0.70/1.13 ( meet(a,meet(join(b,a),join(b,c))) = meet(a,join(b,c)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['1.0.0.3','0.8.2.0',theory(equality)]),
% 0.70/1.13 [pos('L.2','L')]).
% 0.70/1.13 cnf('1.0.0.5',plain,
% 0.70/1.13 ( meet(a,join(b,c)) = meet(a,join(b,c)) ),
% 0.70/1.13 inference(reduction,[status(thm)],['1.0.0.4','0.19.2.0',theory(equality)]),
% 0.70/1.13 [pos('L','L')]).
% 0.70/1.13 cnf('1.0.0.6',plain,
% 0.70/1.13 ( $true ),
% 0.70/1.13 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 0.70/1.13 [conjecture_1]).
% 0.70/1.13
% 0.70/1.13 Proved Goals:
% 0.70/1.13 No. 1: meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) ?= meet(a,join(b,c)) joined, current: meet(a,join(b,c)) = meet(a,join(b,c))
% 0.70/1.13 1 goal was specified, which was proved.
% 0.70/1.13 % SZS output end CNFRefutation
% 0.70/1.13 #END OF PROOF
% 0.70/1.13
% 0.70/1.13 Problem WALDMEISTER_14440_n020
% 0.70/1.13 CPs.gen 26712
% 0.70/1.13 CPs.reexp 0
% 0.70/1.13 Select 2076
% 0.70/1.13 R 170
% 0.70/1.13 E 8
% 0.70/1.13 vsize 6.5M
% 0.70/1.13 rss 3.8M
% 0.70/1.13 process.time 0.138s
% 0.70/1.13 wallclock.time 0.138s
% 0.70/1.13 status S
% 0.70/1.13
% 0.70/1.13
% 0.70/1.13 Waldmeister states: Goal proved.
% 0.70/1.13 % SZS status Unsatisfiable
%------------------------------------------------------------------------------