TSTP Solution File: LAT151-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT151-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 07:15:23 EDT 2022
% Result : Unsatisfiable 2.41s 2.84s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT151-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n007.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 : Wed Jun 29 19:10:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.63/1.00 ********************************************************************************
% 0.63/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.00 * |/ | \/ | *
% 0.63/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.00 * A. Jaeger and B. Loechner | | *
% 0.63/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.00 ********************************************************************************
% 0.63/1.00
% 0.63/1.00
% 0.63/1.00 Goals:
% 0.63/1.00 ------
% 0.63/1.00
% 0.63/1.00 ( 1) meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))) ?=? meet(a,join(b,meet(c,join(a,d))))
% 0.63/1.00
% 0.63/1.00 Detected structure: Verband
% 0.63/1.00 ********************************************************************************
% 0.63/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.00 ********************************************************************************
% 0.63/1.00
% 2.41/2.84 joined goal: 1 meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))) ?= meet(a,join(b,meet(c,join(a,d)))) to meet(a,join(b,meet(c,join(a,d))))
% 2.41/2.84 goal joined
% 2.41/2.84 % SZS status Unsatisfiable
% 2.41/2.84 #START OF PROOF
% 2.41/2.84 % SZS output start CNFRefutation
% 2.41/2.84 cnf('0.2.0.0',axiom,
% 2.41/2.84 ( X1 = meet(X1,join(X1,X2)) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.2.1.0',plain,
% 2.41/2.84 ( X1 = meet(X1,join(X1,X2)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.2.0.0']),
% 2.41/2.84 [weight('<1,0,0,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.2.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X1,X2)) = X1 ),
% 2.41/2.84 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_2]).
% 2.41/2.84 cnf('0.4.0.0',axiom,
% 2.41/2.84 ( X1 = join(X1,meet(X1,X2)) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.4.1.0',plain,
% 2.41/2.84 ( X1 = join(X1,meet(X1,X2)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.4.0.0']),
% 2.41/2.84 [weight('<3,0,0,[0,0,0,4]>')]).
% 2.41/2.84 cnf('0.4.2.0',plain,
% 2.41/2.84 ( join(X1,meet(X1,X2)) = X1 ),
% 2.41/2.84 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_4]).
% 2.41/2.84 cnf('0.5.0.0',axiom,
% 2.41/2.84 ( meet(X1,X2) = meet(X2,X1) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.5.1.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X2,X1) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.5.0.0']),
% 2.41/2.84 [weight('<4,0,0,[0,0,0,5]>')]).
% 2.41/2.84 cnf('0.5.2.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X2,X1) ),
% 2.41/2.84 inference(activate,[status(thm)],['0.5.1.0']),
% 2.41/2.84 [equation_1]).
% 2.41/2.84 cnf('0.6.0.0',axiom,
% 2.41/2.84 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.6.1.0',plain,
% 2.41/2.84 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.41/2.84 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.41/2.84 cnf('0.6.2.0',plain,
% 2.41/2.84 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_5]).
% 2.41/2.84 cnf('0.7.0.0',axiom,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.7.1.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.41/2.84 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.41/2.84 cnf('0.7.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_6]).
% 2.41/2.84 cnf('0.8.0.0',axiom,
% 2.41/2.84 ( join(X1,X2) = join(X2,X1) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.8.1.0',plain,
% 2.41/2.84 ( join(X1,X2) = join(X2,X1) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.41/2.84 [weight('<7,0,0,[0,0,0,8]>')]).
% 2.41/2.84 cnf('0.8.2.0',plain,
% 2.41/2.84 ( join(X1,X2) = join(X2,X1) ),
% 2.41/2.84 inference(activate,[status(thm)],['0.8.1.0']),
% 2.41/2.84 [equation_2]).
% 2.41/2.84 cnf('0.9.0.0',axiom,
% 2.41/2.84 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007')).
% 2.41/2.84 cnf('0.9.1.0',plain,
% 2.41/2.84 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.41/2.84 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.41/2.84 cnf('0.9.2.0',plain,
% 2.41/2.84 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_7]).
% 2.41/2.84 cnf('0.10.0.0',plain,
% 2.41/2.84 ( X1 = join(X1,meet(X2,X1)) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.10.1.0',plain,
% 2.41/2.84 ( X1 = join(X1,meet(X2,X1)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.10.0.0']),
% 2.41/2.84 [weight('<5,5,4,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.10.2.0',plain,
% 2.41/2.84 ( join(X1,meet(X2,X1)) = X1 ),
% 2.41/2.84 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_8]).
% 2.41/2.84 cnf('0.12.0.0',plain,
% 2.41/2.84 ( X1 = meet(X1,join(X2,X1)) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.12.1.0',plain,
% 2.41/2.84 ( X1 = meet(X1,join(X2,X1)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.12.0.0']),
% 2.41/2.84 [weight('<5,8,2,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.12.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,X1)) = X1 ),
% 2.41/2.84 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_10]).
% 2.41/2.84 cnf('0.16.0.0',plain,
% 2.41/2.84 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.1','L')]).
% 2.41/2.84 cnf('0.16.1.0',plain,
% 2.41/2.84 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.16.0.0']),
% 2.41/2.84 [weight('<7,6,2,[1,0,0,1]>')]).
% 2.41/2.84 cnf('0.16.2.0',plain,
% 2.41/2.84 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 2.41/2.84 [u,rule_14]).
% 2.41/2.84 cnf('0.19.0.0',plain,
% 2.41/2.84 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.1','L')]).
% 2.41/2.84 cnf('0.19.1.0',plain,
% 2.41/2.84 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.19.0.0']),
% 2.41/2.84 [weight('<7,10,9,[0,0,0,1]>')]).
% 2.41/2.84 cnf('0.19.2.0',plain,
% 2.41/2.84 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 2.41/2.84 [u,rule_17]).
% 2.41/2.84 cnf('0.20.0.0',plain,
% 2.41/2.84 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.1','L')]).
% 2.41/2.84 cnf('0.20.1.0',plain,
% 2.41/2.84 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.20.0.0']),
% 2.41/2.84 [weight('<7,12,6,[0,0,0,1]>')]).
% 2.41/2.84 cnf('0.20.2.0',plain,
% 2.41/2.84 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 2.41/2.84 [u,rule_18]).
% 2.41/2.84 cnf('0.37.0.0',plain,
% 2.41/2.84 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 2.41/2.84 [pos('L','L')]).
% 2.41/2.84 cnf('0.37.1.0',plain,
% 2.41/2.84 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.37.0.0']),
% 2.41/2.84 [weight('<9,9,4,[1,0,0,0]>')]).
% 2.41/2.84 cnf('0.37.2.0',plain,
% 2.41/2.84 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 2.41/2.84 [u,rule_35]).
% 2.41/2.84 cnf('0.39.0.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 2.41/2.84 [pos('L','L')]).
% 2.41/2.84 cnf('0.39.1.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.39.0.0']),
% 2.41/2.84 [weight('<9,12,6,[1,0,0,0]>')]).
% 2.41/2.84 cnf('0.39.2.0',plain,
% 2.41/2.84 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_37]).
% 2.41/2.84 cnf('0.54.0.0',plain,
% 2.41/2.84 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.54.1.0',plain,
% 2.41/2.84 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.54.0.0']),
% 2.41/2.84 [weight('<9,19,12,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.54.1.1',plain,
% 2.41/2.84 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 2.41/2.84 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 2.41/2.84 [pos('R','L')]).
% 2.41/2.84 cnf('0.54.2.0',plain,
% 2.41/2.84 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 2.41/2.84 [x,rule_52]).
% 2.41/2.84 cnf('0.58.0.0',plain,
% 2.41/2.84 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.58.1.0',plain,
% 2.41/2.84 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.58.0.0']),
% 2.41/2.84 [weight('<9,20,10,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.58.1.1',plain,
% 2.41/2.84 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 2.41/2.84 inference(reduction,[status(thm)],['0.58.1.0','0.8.2.0',theory(equality)]),
% 2.41/2.84 [pos('R','L')]).
% 2.41/2.84 cnf('0.58.2.0',plain,
% 2.41/2.84 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 2.41/2.84 [x,rule_56]).
% 2.41/2.84 cnf('0.95.0.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2.2.2','L')]).
% 2.41/2.84 cnf('0.95.1.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.95.0.0']),
% 2.41/2.84 [weight('<9,39,5,[1,0,0,6]>')]).
% 2.41/2.84 cnf('0.95.2.0',plain,
% 2.41/2.84 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_93]).
% 2.41/2.84 cnf('0.113.0.0',plain,
% 2.41/2.84 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.54.2.0','0.4.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.1','L')]).
% 2.41/2.84 cnf('0.113.1.0',plain,
% 2.41/2.84 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.113.0.0']),
% 2.41/2.84 [weight('<9,54,4,[1,0,0,1]>')]).
% 2.41/2.84 cnf('0.113.2.0',plain,
% 2.41/2.84 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_109]).
% 2.41/2.84 cnf('0.116.0.0',plain,
% 2.41/2.84 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.58.2.0','0.2.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.1','L')]).
% 2.41/2.84 cnf('0.116.1.0',plain,
% 2.41/2.84 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.116.0.0']),
% 2.41/2.84 [weight('<9,58,2,[1,0,0,1]>')]).
% 2.41/2.84 cnf('0.116.2.0',plain,
% 2.41/2.84 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_112]).
% 2.41/2.84 cnf('0.133.0.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X2,X1))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.95.2.0','0.113.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.133.1.0',plain,
% 2.41/2.84 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X2,X1))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.133.0.0']),
% 2.41/2.84 [weight('<9,113,95,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.133.2.0',plain,
% 2.41/2.84 ( meet(X1,join(meet(X2,X3),meet(X3,X1))) = meet(X1,X3) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_127]).
% 2.41/2.84 cnf('0.136.0.0',plain,
% 2.41/2.84 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.37.2.0','0.116.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.136.1.0',plain,
% 2.41/2.84 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.136.0.0']),
% 2.41/2.84 [weight('<9,116,37,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.136.2.0',plain,
% 2.41/2.84 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_130]).
% 2.41/2.84 cnf('0.151.0.0',plain,
% 2.41/2.84 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X3)) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.136.2.0','0.133.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.151.1.0',plain,
% 2.41/2.84 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X3)) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.151.0.0']),
% 2.41/2.84 [weight('<9,136,133,[1,0,0,2]>')]).
% 2.41/2.84 cnf('0.151.1.1',plain,
% 2.41/2.84 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,X3)))) ),
% 2.41/2.84 inference(reduction,[status(thm)],['0.151.1.0','0.5.2.0',theory(equality)]),
% 2.41/2.84 [pos('R.2','L')]).
% 2.41/2.84 cnf('0.151.2.0',plain,
% 2.41/2.84 ( join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.151.1.1',theory(equality)]),
% 2.41/2.84 [x,rule_145]).
% 2.41/2.84 cnf('0.152.0.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.7.2.0','0.151.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.152.1.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.152.0.0']),
% 2.41/2.84 [weight('<9,151,7,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.152.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 2.41/2.84 [u,rule_146]).
% 2.41/2.84 cnf('0.595.0.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(join(X1,X4),X2)))) = meet(X1,meet(join(X1,X4),join(X2,meet(join(X1,X4),X3)))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.16.2.0','0.152.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2','L')]).
% 2.41/2.84 cnf('0.595.0.1',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,meet(join(X1,X4),join(X2,meet(join(X1,X4),X3)))) ),
% 2.41/2.84 inference(reduction,[status(thm)],['0.595.0.0','0.9.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2.2.2','L')]).
% 2.41/2.84 cnf('0.595.0.2',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(join(X1,X4),X3))) ),
% 2.41/2.84 inference(reduction,[status(thm)],['0.595.0.1','0.16.2.0',theory(equality)]),
% 2.41/2.84 [pos('R','L')]).
% 2.41/2.84 cnf('0.595.1.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(join(X1,X4),X3))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.595.0.2']),
% 2.41/2.84 [weight('<11,152,16,[0,0,0,2]>')]).
% 2.41/2.84 cnf('0.595.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(join(X1,X4),X3))) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.595.1.0',theory(equality)]),
% 2.41/2.84 [u,rule_587]).
% 2.41/2.84 cnf('0.778.0.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(join(X1,X3),X4))) = meet(X1,join(X2,meet(X4,join(X1,join(X2,X3))))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.595.2.0','0.8.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2.2.2.2','L')]).
% 2.41/2.84 cnf('0.778.1.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(join(X1,X3),X4))) = meet(X1,join(X2,meet(X4,join(X1,join(X2,X3))))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.778.0.0']),
% 2.41/2.84 [weight('<11,595,8,[1,0,0,8]>')]).
% 2.41/2.84 cnf('0.778.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(join(X1,X4),X3))) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.778.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_770]).
% 2.41/2.84 cnf('0.812.0.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X5))))) = meet(X1,join(X2,meet(X3,join(X4,join(X5,meet(X1,X3)))))) ),
% 2.41/2.84 inference(cp,[status(thm)],['0.7.2.0','0.9.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2.2.2','L')]).
% 2.41/2.84 cnf('0.812.1.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X5))))) = meet(X1,join(X2,meet(X3,join(X4,join(X5,meet(X1,X3)))))) ),
% 2.41/2.84 inference(weigh,[status(thm)],['0.812.0.0']),
% 2.41/2.84 [weight('<13,9,7,[0,0,0,6]>')]).
% 2.41/2.84 cnf('0.812.2.0',plain,
% 2.41/2.84 ( meet(X1,join(X2,meet(X3,join(X4,join(X5,meet(X1,X3)))))) = meet(X1,join(X2,meet(X3,join(X1,join(X4,X5))))) ),
% 2.41/2.84 inference(orient,[status(thm)],['0.812.1.0',theory(equality)]),
% 2.41/2.84 [x,rule_804]).
% 2.41/2.84 cnf('1.0.0.0',conjecture,
% 2.41/2.84 ( meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 2.41/2.84 file('/tmp/WALDMEISTER_818_n007',conjecture_1)).
% 2.41/2.84 cnf('1.0.0.1',plain,
% 2.41/2.84 ( meet(a,join(b,meet(c,join(a,join(b,d))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 2.41/2.84 inference(reduction,[status(thm)],['1.0.0.0','0.812.2.0',theory(equality)]),
% 2.41/2.84 [pos('L','L')]).
% 2.41/2.84 cnf('1.0.0.2',plain,
% 2.41/2.84 ( meet(a,join(b,meet(join(a,d),c))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 2.41/2.84 inference(reduction,[status(thm)],['1.0.0.1','0.778.2.0',theory(equality)]),
% 2.41/2.84 [pos('L','L')]).
% 2.41/2.84 cnf('1.0.0.3',plain,
% 2.41/2.84 ( meet(a,join(b,meet(c,join(a,d)))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 2.41/2.84 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 2.41/2.84 [pos('L.2.2','L')]).
% 2.41/2.84 cnf('1.0.0.4',plain,
% 2.41/2.84 ( $true ),
% 2.41/2.84 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 2.41/2.84 [conjecture_1]).
% 2.41/2.84
% 2.41/2.84 Proved Goals:
% 2.41/2.84 No. 1: meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))) ?= meet(a,join(b,meet(c,join(a,d)))) joined, current: meet(a,join(b,meet(c,join(a,d)))) = meet(a,join(b,meet(c,join(a,d))))
% 2.41/2.84 1 goal was specified, which was proved.
% 2.41/2.84 % SZS output end CNFRefutation
% 2.41/2.84 #END OF PROOF
% 2.41/2.84
% 2.41/2.84 Problem WALDMEISTER_818_n007
% 2.41/2.84 CPs.gen 569753
% 2.41/2.84 CPs.reexp 0
% 2.41/2.84 Select 25962
% 2.41/2.84 R 804
% 2.41/2.84 E 8
% 2.41/2.84 vsize 8.6M
% 2.41/2.84 rss 4.1M
% 2.41/2.84 process.time 1.846s
% 2.41/2.84 wallclock.time 1.846s
% 2.41/2.84 status S
% 2.41/2.84
% 2.41/2.84
% 2.41/2.84 Waldmeister states: Goal proved.
% 2.41/2.84 % SZS status Unsatisfiable
%------------------------------------------------------------------------------