TSTP Solution File: LAT157-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT157-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 07:15:25 EDT 2022
% Result : Unsatisfiable 61.19s 61.61s
% Output : CNFRefutation 61.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT157-1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n008.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 02:10:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.55/0.95 * |/ | \/ | *
% 0.55/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.55/0.95 * A. Jaeger and B. Loechner | | *
% 0.55/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 Goals:
% 0.55/0.95 ------
% 0.55/0.95
% 0.55/0.95 ( 1) meet(a,join(b,meet(a,c))) ?=? meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c)))))
% 0.55/0.95
% 0.55/0.95 Detected structure: Verband
% 0.55/0.95 ********************************************************************************
% 0.55/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.55/0.95 ********************************************************************************
% 0.55/0.95
% 61.19/61.61 joined goal: 1 meet(a,join(b,meet(a,c))) ?= meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))) to meet(a,join(b,meet(c,a)))
% 61.19/61.61 goal joined
% 61.19/61.61 % SZS status Unsatisfiable
% 61.19/61.61 #START OF PROOF
% 61.19/61.61 % SZS output start CNFRefutation
% 61.19/61.61 cnf('0.2.0.0',axiom,
% 61.19/61.61 ( X1 = meet(X1,join(X1,X2)) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.2.1.0',plain,
% 61.19/61.61 ( X1 = meet(X1,join(X1,X2)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.2.0.0']),
% 61.19/61.61 [weight('<1,0,0,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.2.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X1,X2)) = X1 ),
% 61.19/61.61 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_2]).
% 61.19/61.61 cnf('0.3.0.0',axiom,
% 61.19/61.61 ( X1 = join(X1,X1) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.3.1.0',plain,
% 61.19/61.61 ( X1 = join(X1,X1) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.3.0.0']),
% 61.19/61.61 [weight('<2,0,0,[0,0,0,3]>')]).
% 61.19/61.61 cnf('0.3.2.0',plain,
% 61.19/61.61 ( join(X1,X1) = X1 ),
% 61.19/61.61 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_3]).
% 61.19/61.61 cnf('0.4.0.0',axiom,
% 61.19/61.61 ( X1 = join(X1,meet(X1,X2)) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.4.1.0',plain,
% 61.19/61.61 ( X1 = join(X1,meet(X1,X2)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.4.0.0']),
% 61.19/61.61 [weight('<3,0,0,[0,0,0,4]>')]).
% 61.19/61.61 cnf('0.4.2.0',plain,
% 61.19/61.61 ( join(X1,meet(X1,X2)) = X1 ),
% 61.19/61.61 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_4]).
% 61.19/61.61 cnf('0.5.0.0',axiom,
% 61.19/61.61 ( meet(X1,X2) = meet(X2,X1) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.5.1.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X2,X1) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.5.0.0']),
% 61.19/61.61 [weight('<4,0,0,[0,0,0,5]>')]).
% 61.19/61.61 cnf('0.5.2.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X2,X1) ),
% 61.19/61.61 inference(activate,[status(thm)],['0.5.1.0']),
% 61.19/61.61 [equation_1]).
% 61.19/61.61 cnf('0.6.0.0',axiom,
% 61.19/61.61 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.6.1.0',plain,
% 61.19/61.61 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.6.0.0']),
% 61.19/61.61 [weight('<5,0,0,[0,0,0,6]>')]).
% 61.19/61.61 cnf('0.6.2.0',plain,
% 61.19/61.61 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_5]).
% 61.19/61.61 cnf('0.7.0.0',axiom,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.7.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.7.0.0']),
% 61.19/61.61 [weight('<6,0,0,[0,0,0,7]>')]).
% 61.19/61.61 cnf('0.7.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_6]).
% 61.19/61.61 cnf('0.8.0.0',axiom,
% 61.19/61.61 ( join(X1,X2) = join(X2,X1) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.8.1.0',plain,
% 61.19/61.61 ( join(X1,X2) = join(X2,X1) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.8.0.0']),
% 61.19/61.61 [weight('<7,0,0,[0,0,0,8]>')]).
% 61.19/61.61 cnf('0.8.2.0',plain,
% 61.19/61.61 ( join(X1,X2) = join(X2,X1) ),
% 61.19/61.61 inference(activate,[status(thm)],['0.8.1.0']),
% 61.19/61.61 [equation_2]).
% 61.19/61.61 cnf('0.9.0.0',axiom,
% 61.19/61.61 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008')).
% 61.19/61.61 cnf('0.9.1.0',plain,
% 61.19/61.61 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.9.0.0']),
% 61.19/61.61 [weight('<8,0,0,[0,0,0,9]>')]).
% 61.19/61.61 cnf('0.9.2.0',plain,
% 61.19/61.61 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_7]).
% 61.19/61.61 cnf('0.10.0.0',plain,
% 61.19/61.61 ( X1 = join(X1,meet(X2,X1)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.10.1.0',plain,
% 61.19/61.61 ( X1 = join(X1,meet(X2,X1)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.10.0.0']),
% 61.19/61.61 [weight('<5,5,4,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.10.2.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,X1)) = X1 ),
% 61.19/61.61 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_8]).
% 61.19/61.61 cnf('0.12.0.0',plain,
% 61.19/61.61 ( X1 = meet(X1,join(X2,X1)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.12.1.0',plain,
% 61.19/61.61 ( X1 = meet(X1,join(X2,X1)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.12.0.0']),
% 61.19/61.61 [weight('<5,8,2,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.12.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,X1)) = X1 ),
% 61.19/61.61 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_10]).
% 61.19/61.61 cnf('0.13.0.0',plain,
% 61.19/61.61 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.13.1.0',plain,
% 61.19/61.61 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.13.0.0']),
% 61.19/61.61 [weight('<5,9,3,[1,0,0,1]>')]).
% 61.19/61.61 cnf('0.13.2.0',plain,
% 61.19/61.61 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_11]).
% 61.19/61.61 cnf('0.14.0.0',plain,
% 61.19/61.61 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.14.0.1',plain,
% 61.19/61.61 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.14.1.0',plain,
% 61.19/61.61 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.14.0.1']),
% 61.19/61.61 [weight('<5,10,2,[1,0,0,2]>')]).
% 61.19/61.61 cnf('0.14.2.0',plain,
% 61.19/61.61 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_12]).
% 61.19/61.61 cnf('0.16.0.0',plain,
% 61.19/61.61 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.16.1.0',plain,
% 61.19/61.61 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.16.0.0']),
% 61.19/61.61 [weight('<7,6,2,[1,0,0,1]>')]).
% 61.19/61.61 cnf('0.16.2.0',plain,
% 61.19/61.61 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_14]).
% 61.19/61.61 cnf('0.17.0.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.17.1.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.17.0.0']),
% 61.19/61.61 [weight('<7,9,4,[1,0,0,1]>')]).
% 61.19/61.61 cnf('0.17.2.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_15]).
% 61.19/61.61 cnf('0.19.0.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.19.1.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.19.0.0']),
% 61.19/61.61 [weight('<7,10,9,[0,0,0,1]>')]).
% 61.19/61.61 cnf('0.19.2.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_17]).
% 61.19/61.61 cnf('0.20.0.0',plain,
% 61.19/61.61 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.20.1.0',plain,
% 61.19/61.61 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.20.0.0']),
% 61.19/61.61 [weight('<7,12,6,[0,0,0,1]>')]).
% 61.19/61.61 cnf('0.20.2.0',plain,
% 61.19/61.61 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_18]).
% 61.19/61.61 cnf('0.21.0.0',plain,
% 61.19/61.61 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.21.1.0',plain,
% 61.19/61.61 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.21.0.0']),
% 61.19/61.61 [weight('<7,12,9,[1,0,0,2]>')]).
% 61.19/61.61 cnf('0.21.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 61.19/61.61 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_19]).
% 61.19/61.61 cnf('0.22.0.0',plain,
% 61.19/61.61 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.22.0.1',plain,
% 61.19/61.61 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.22.0.2',plain,
% 61.19/61.61 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.22.1.0',plain,
% 61.19/61.61 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.22.0.2']),
% 61.19/61.61 [weight('<7,14,9,[0,0,0,1]>')]).
% 61.19/61.61 cnf('0.22.2.0',plain,
% 61.19/61.61 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_20]).
% 61.19/61.61 cnf('0.34.0.0',plain,
% 61.19/61.61 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 61.19/61.61 [pos('L','L')]).
% 61.19/61.61 cnf('0.34.1.0',plain,
% 61.19/61.61 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.34.0.0']),
% 61.19/61.61 [weight('<9,6,2,[1,0,0,0]>')]).
% 61.19/61.61 cnf('0.34.2.0',plain,
% 61.19/61.61 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_32]).
% 61.19/61.61 cnf('0.37.0.0',plain,
% 61.19/61.61 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 61.19/61.61 [pos('L','L')]).
% 61.19/61.61 cnf('0.37.1.0',plain,
% 61.19/61.61 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.37.0.0']),
% 61.19/61.61 [weight('<9,9,4,[1,0,0,0]>')]).
% 61.19/61.61 cnf('0.37.2.0',plain,
% 61.19/61.61 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_35]).
% 61.19/61.61 cnf('0.39.0.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 61.19/61.61 [pos('L','L')]).
% 61.19/61.61 cnf('0.39.1.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.39.0.0']),
% 61.19/61.61 [weight('<9,12,6,[1,0,0,0]>')]).
% 61.19/61.61 cnf('0.39.2.0',plain,
% 61.19/61.61 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_37]).
% 61.19/61.61 cnf('0.45.0.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.45.1.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.45.0.0']),
% 61.19/61.61 [weight('<9,17,12,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.45.1.1',plain,
% 61.19/61.61 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.45.1.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.45.2.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 61.19/61.61 [x,rule_43]).
% 61.19/61.61 cnf('0.54.0.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.54.1.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.54.0.0']),
% 61.19/61.61 [weight('<9,19,12,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.54.1.1',plain,
% 61.19/61.61 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.54.2.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 61.19/61.61 [x,rule_52]).
% 61.19/61.61 cnf('0.58.0.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.58.1.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.58.0.0']),
% 61.19/61.61 [weight('<9,20,10,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.58.1.1',plain,
% 61.19/61.61 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.58.1.0','0.8.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.58.2.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 61.19/61.61 [x,rule_56]).
% 61.19/61.61 cnf('0.68.0.0',plain,
% 61.19/61.61 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.68.1.0',plain,
% 61.19/61.61 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.68.0.0']),
% 61.19/61.61 [weight('<9,22,21,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.68.2.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_66]).
% 61.19/61.61 cnf('0.95.0.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.2','L')]).
% 61.19/61.61 cnf('0.95.1.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.95.0.0']),
% 61.19/61.61 [weight('<9,39,5,[1,0,0,6]>')]).
% 61.19/61.61 cnf('0.95.2.0',plain,
% 61.19/61.61 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_93]).
% 61.19/61.61 cnf('0.106.0.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.45.2.0','0.4.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.106.1.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.106.0.0']),
% 61.19/61.61 [weight('<9,45,4,[1,0,0,1]>')]).
% 61.19/61.61 cnf('0.106.2.0',plain,
% 61.19/61.61 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_104]).
% 61.19/61.61 cnf('0.115.0.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.54.2.0','0.10.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.115.1.0',plain,
% 61.19/61.61 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.115.0.0']),
% 61.19/61.61 [weight('<9,54,10,[1,0,0,1]>')]).
% 61.19/61.61 cnf('0.115.2.0',plain,
% 61.19/61.61 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_111]).
% 61.19/61.61 cnf('0.116.0.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.58.2.0','0.2.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.1','L')]).
% 61.19/61.61 cnf('0.116.1.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.116.0.0']),
% 61.19/61.61 [weight('<9,58,2,[1,0,0,1]>')]).
% 61.19/61.61 cnf('0.116.2.0',plain,
% 61.19/61.61 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_112]).
% 61.19/61.61 cnf('0.120.0.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.68.2.0','0.4.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2','L')]).
% 61.19/61.61 cnf('0.120.1.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.120.0.0']),
% 61.19/61.61 [weight('<9,68,4,[1,0,0,6]>')]).
% 61.19/61.61 cnf('0.120.1.1',plain,
% 61.19/61.61 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X2,X3))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.120.1.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.120.2.0',plain,
% 61.19/61.61 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.120.1.1',theory(equality)]),
% 61.19/61.61 [x,rule_116]).
% 61.19/61.61 cnf('0.128.0.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.95.2.0','0.106.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.128.1.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.128.0.0']),
% 61.19/61.61 [weight('<9,106,95,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.128.2.0',plain,
% 61.19/61.61 ( meet(X1,join(meet(X2,X3),meet(X2,X1))) = meet(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_123]).
% 61.19/61.61 cnf('0.134.0.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.34.2.0','0.115.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.134.1.0',plain,
% 61.19/61.61 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.134.0.0']),
% 61.19/61.61 [weight('<9,115,34,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.134.2.0',plain,
% 61.19/61.61 ( meet(X1,join(meet(X1,X2),meet(X3,X2))) = meet(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_128]).
% 61.19/61.61 cnf('0.136.0.0',plain,
% 61.19/61.61 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.37.2.0','0.116.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.136.1.0',plain,
% 61.19/61.61 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.136.0.0']),
% 61.19/61.61 [weight('<9,116,37,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.136.2.0',plain,
% 61.19/61.61 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_130]).
% 61.19/61.61 cnf('0.149.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.134.2.0','0.12.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2','L')]).
% 61.19/61.61 cnf('0.149.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.149.0.0']),
% 61.19/61.61 [weight('<9,134,12,[1,0,0,6]>')]).
% 61.19/61.61 cnf('0.149.1.1',plain,
% 61.19/61.61 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,join(X2,X3)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.149.1.0','0.8.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2','L')]).
% 61.19/61.61 cnf('0.149.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X1,join(X3,X2)))) = meet(X1,join(X3,X2)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.149.1.1',theory(equality)]),
% 61.19/61.61 [x,rule_143]).
% 61.19/61.61 cnf('0.150.0.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X2)) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.136.2.0','0.128.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.150.1.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X2)) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.150.0.0']),
% 61.19/61.61 [weight('<9,136,128,[1,0,0,2]>')]).
% 61.19/61.61 cnf('0.150.1.1',plain,
% 61.19/61.61 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,meet(X2,X3)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.150.1.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2','L')]).
% 61.19/61.61 cnf('0.150.2.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.150.1.1',theory(equality)]),
% 61.19/61.61 [x,rule_144]).
% 61.19/61.61 cnf('0.152.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,X1)))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.7.2.0','0.149.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2','L')]).
% 61.19/61.61 cnf('0.152.0.1',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.152.0.0','0.3.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.2','L')]).
% 61.19/61.61 cnf('0.152.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.152.0.1']),
% 61.19/61.61 [weight('<9,149,7,[0,0,0,4]>')]).
% 61.19/61.61 cnf('0.152.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_146]).
% 61.19/61.61 cnf('0.154.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.152.2.0','0.8.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.2','L')]).
% 61.19/61.61 cnf('0.154.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.154.0.0']),
% 61.19/61.61 [weight('<9,152,8,[1,0,0,6]>')]).
% 61.19/61.61 cnf('0.154.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_148]).
% 61.19/61.61 cnf('0.160.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.7.2.0','0.14.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.2.2.2','L')]).
% 61.19/61.61 cnf('0.160.0.1',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.160.0.0','0.7.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.160.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.160.0.1']),
% 61.19/61.61 [weight('<11,14,7,[0,0,0,10]>')]).
% 61.19/61.61 cnf('0.160.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_152]).
% 61.19/61.61 cnf('0.594.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,meet(join(X1,X4),join(X2,meet(X3,join(X1,X4))))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.16.2.0','0.152.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.594.0.1',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.594.0.0','0.16.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.594.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.594.0.1']),
% 61.19/61.61 [weight('<11,152,16,[0,0,0,2]>')]).
% 61.19/61.61 cnf('0.594.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.594.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_586]).
% 61.19/61.61 cnf('0.620.0.0',plain,
% 61.19/61.61 ( meet(X1,join(join(X2,X3),meet(X4,join(X1,X2)))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,join(X2,X3))))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.160.2.0','0.13.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.2.2','L')]).
% 61.19/61.61 cnf('0.620.0.1',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,join(X2,X3))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.620.0.0','0.9.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.620.0.2',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) = meet(X1,join(join(X2,X3),meet(X4,X1))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.620.0.1','0.154.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.620.0.3',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.620.0.2','0.9.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2','L')]).
% 61.19/61.61 cnf('0.620.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.620.0.3']),
% 61.19/61.61 [weight('<11,160,13,[1,0,0,8]>')]).
% 61.19/61.61 cnf('0.620.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X2))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.620.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_612]).
% 61.19/61.61 cnf('0.773.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(meet(X4,join(X1,X2)),X3))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.620.2.0','0.8.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2','L')]).
% 61.19/61.61 cnf('0.773.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(meet(X4,join(X1,X2)),X3))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.773.0.0']),
% 61.19/61.61 [weight('<11,620,8,[1,0,0,4]>')]).
% 61.19/61.61 cnf('0.773.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(meet(X3,join(X1,X2)),X4))) = meet(X1,join(X2,join(X4,meet(X3,X1)))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.773.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_765]).
% 61.19/61.61 cnf('0.787.0.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(meet(X4,join(X2,X1)),X3))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.773.2.0','0.8.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.1.2','L')]).
% 61.19/61.61 cnf('0.787.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(meet(X4,join(X2,X1)),X3))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.787.0.0']),
% 61.19/61.61 [weight('<11,773,8,[1,0,0,7]>')]).
% 61.19/61.61 cnf('0.787.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,join(meet(X3,join(X2,X1)),X4))) = meet(X1,join(X2,join(X4,meet(X3,X1)))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.787.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_779]).
% 61.19/61.61 cnf('0.1764.0.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,join(meet(X3,X2),meet(X4,X2)))) = join(X1,meet(X2,join(X1,join(meet(X3,X2),meet(X4,X2))))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.150.2.0','0.115.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2.2','L')]).
% 61.19/61.61 cnf('0.1764.0.1',plain,
% 61.19/61.61 ( join(X1,join(meet(X3,X2),meet(X4,X2))) = join(X1,meet(X2,join(X1,join(meet(X3,X2),meet(X4,X2))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.1764.0.0','0.115.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.1764.1.0',plain,
% 61.19/61.61 ( join(X1,join(meet(X3,X2),meet(X4,X2))) = join(X1,meet(X2,join(X1,join(meet(X3,X2),meet(X4,X2))))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.1764.0.1']),
% 61.19/61.61 [weight('<13,150,115,[1,0,0,6]>')]).
% 61.19/61.61 cnf('0.1764.2.0',plain,
% 61.19/61.61 ( join(X1,meet(X2,join(X1,join(meet(X3,X2),meet(X4,X2))))) = join(X1,join(meet(X3,X2),meet(X4,X2))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.1764.1.0',theory(equality)]),
% 61.19/61.61 [x,rule_1756]).
% 61.19/61.61 cnf('0.3861.0.0',plain,
% 61.19/61.61 ( meet(meet(X1,join(X2,X3)),join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4)))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 61.19/61.61 inference(cp,[status(thm)],['0.594.2.0','0.787.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2','L')]).
% 61.19/61.61 cnf('0.3861.0.1',plain,
% 61.19/61.61 ( meet(X1,meet(join(X2,X3),join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4))))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.3861.0.0','0.6.2.0',theory(equality)]),
% 61.19/61.61 [pos('L','L')]).
% 61.19/61.61 cnf('0.3861.0.2',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4)))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.3861.0.1','0.120.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2','L')]).
% 61.19/61.61 cnf('0.3861.0.3',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4)))) = meet(X1,meet(join(X2,X3),join(X2,meet(X3,join(X2,join(X4,meet(X1,X3))))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.3861.0.2','0.6.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('0.3861.0.4',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4)))) = meet(X1,join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['0.3861.0.3','0.120.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2','L')]).
% 61.19/61.61 cnf('0.3861.1.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4)))) = meet(X1,join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 61.19/61.61 inference(weigh,[status(thm)],['0.3861.0.4']),
% 61.19/61.61 [weight('<13,787,594,[0,0,0,4]>')]).
% 61.19/61.61 cnf('0.3861.2.0',plain,
% 61.19/61.61 ( meet(X1,join(X2,meet(X3,join(meet(X1,join(X2,X3)),X4)))) = meet(X1,join(X2,meet(X3,join(X2,join(X4,meet(X1,X3)))))) ),
% 61.19/61.61 inference(orient,[status(thm)],['0.3861.1.0',theory(equality)]),
% 61.19/61.61 [u,rule_3850]).
% 61.19/61.61 cnf('1.0.0.0',conjecture,
% 61.19/61.61 ( meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))) ),
% 61.19/61.61 file('/tmp/WALDMEISTER_4015_n008',conjecture_1)).
% 61.19/61.61 cnf('1.0.0.1',plain,
% 61.19/61.61 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['1.0.0.0','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('L.2.2','L')]).
% 61.19/61.61 cnf('1.0.0.2',plain,
% 61.19/61.61 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,join(b,join(meet(b,c),meet(a,c)))))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['1.0.0.1','0.3861.2.0',theory(equality)]),
% 61.19/61.61 [pos('R','L')]).
% 61.19/61.61 cnf('1.0.0.3',plain,
% 61.19/61.61 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,join(meet(b,c),meet(a,c)))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['1.0.0.2','0.1764.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2','L')]).
% 61.19/61.61 cnf('1.0.0.4',plain,
% 61.19/61.61 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['1.0.0.3','0.17.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2','L')]).
% 61.19/61.61 cnf('1.0.0.5',plain,
% 61.19/61.61 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a))) ),
% 61.19/61.61 inference(reduction,[status(thm)],['1.0.0.4','0.5.2.0',theory(equality)]),
% 61.19/61.61 [pos('R.2.2','L')]).
% 61.19/61.61 cnf('1.0.0.6',plain,
% 61.19/61.61 ( $true ),
% 61.19/61.61 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 61.19/61.61 [conjecture_1]).
% 61.19/61.61
% 61.19/61.61 Proved Goals:
% 61.19/61.61 No. 1: meet(a,join(b,meet(a,c))) ?= meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))) joined, current: meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a)))
% 61.19/61.61 1 goal was specified, which was proved.
% 61.19/61.61 % SZS output end CNFRefutation
% 61.19/61.61 #END OF PROOF
% 61.19/61.61
% 61.19/61.61 Problem WALDMEISTER_4015_n008
% 61.19/61.62 CPs.gen 15288445
% 61.19/61.62 CPs.reexp 0
% 61.19/61.62 Select 270591
% 61.19/61.62 R 3850
% 61.19/61.62 E 11
% 61.19/61.62 vsize 11.3M
% 61.19/61.62 rss 6.8M
% 61.19/61.62 process.time 60.661s
% 61.19/61.62 wallclock.time 60.659s
% 61.19/61.62 status S
% 61.19/61.62
% 61.19/61.62
% 61.19/61.62 Waldmeister states: Goal proved.
% 61.19/61.62 % SZS status Unsatisfiable
%------------------------------------------------------------------------------