%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT176-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 07:15:32 EDT 2022
% Result : Unsatisfiable 115.95s 116.34s
% Output : CNFRefutation 115.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT176-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 06:04:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))) ?=? meet(a,join(b,meet(c,join(a,d))))
% 0.58/0.97
% 0.58/0.97 Detected structure: Verband
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 115.95/116.34 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))))
% 115.95/116.34 goal joined
% 115.95/116.34 % SZS status Unsatisfiable
% 115.95/116.34 #START OF PROOF
% 115.95/116.34 % SZS output start CNFRefutation
% 115.95/116.34 cnf('0.1.0.0',axiom,
% 115.95/116.34 ( X1 = join(X1,X1) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.1.1.0',plain,
% 115.95/116.34 ( X1 = join(X1,X1) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.1.0.0']),
% 115.95/116.34 [weight('<0,0,0,[0,0,0,1]>')]).
% 115.95/116.34 cnf('0.1.2.0',plain,
% 115.95/116.34 ( join(X1,X1) = X1 ),
% 115.95/116.34 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 115.95/116.34 [x,rule_1]).
% 115.95/116.34 cnf('0.2.0.0',axiom,
% 115.95/116.34 ( X1 = join(X1,meet(X1,X2)) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.2.1.0',plain,
% 115.95/116.34 ( X1 = join(X1,meet(X1,X2)) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.2.0.0']),
% 115.95/116.34 [weight('<1,0,0,[0,0,0,2]>')]).
% 115.95/116.34 cnf('0.2.2.0',plain,
% 115.95/116.34 ( join(X1,meet(X1,X2)) = X1 ),
% 115.95/116.34 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 115.95/116.34 [x,rule_2]).
% 115.95/116.34 cnf('0.4.0.0',axiom,
% 115.95/116.34 ( X1 = meet(X1,join(X1,X2)) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.4.1.0',plain,
% 115.95/116.34 ( X1 = meet(X1,join(X1,X2)) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.4.0.0']),
% 115.95/116.34 [weight('<3,0,0,[0,0,0,4]>')]).
% 115.95/116.34 cnf('0.4.2.0',plain,
% 115.95/116.34 ( meet(X1,join(X1,X2)) = X1 ),
% 115.95/116.34 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 115.95/116.34 [x,rule_4]).
% 115.95/116.34 cnf('0.5.0.0',axiom,
% 115.95/116.34 ( join(X1,X2) = join(X2,X1) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.5.1.0',plain,
% 115.95/116.34 ( join(X1,X2) = join(X2,X1) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.5.0.0']),
% 115.95/116.34 [weight('<4,0,0,[0,0,0,5]>')]).
% 115.95/116.34 cnf('0.5.2.0',plain,
% 115.95/116.34 ( join(X1,X2) = join(X2,X1) ),
% 115.95/116.34 inference(activate,[status(thm)],['0.5.1.0']),
% 115.95/116.34 [equation_1]).
% 115.95/116.34 cnf('0.6.0.0',axiom,
% 115.95/116.34 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.6.1.0',plain,
% 115.95/116.34 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.6.0.0']),
% 115.95/116.34 [weight('<5,0,0,[0,0,0,6]>')]).
% 115.95/116.34 cnf('0.6.2.0',plain,
% 115.95/116.34 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 115.95/116.34 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 115.95/116.34 [x,rule_5]).
% 115.95/116.34 cnf('0.7.0.0',axiom,
% 115.95/116.34 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.7.1.0',plain,
% 115.95/116.34 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.7.0.0']),
% 115.95/116.34 [weight('<6,0,0,[0,0,0,7]>')]).
% 115.95/116.34 cnf('0.7.2.0',plain,
% 115.95/116.34 ( join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) = join(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 115.95/116.34 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 115.95/116.34 [x,rule_6]).
% 115.95/116.34 cnf('0.8.0.0',axiom,
% 115.95/116.34 ( meet(X1,X2) = meet(X2,X1) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.8.1.0',plain,
% 115.95/116.34 ( meet(X1,X2) = meet(X2,X1) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.8.0.0']),
% 115.95/116.34 [weight('<7,0,0,[0,0,0,8]>')]).
% 115.95/116.34 cnf('0.8.2.0',plain,
% 115.95/116.34 ( meet(X1,X2) = meet(X2,X1) ),
% 115.95/116.34 inference(activate,[status(thm)],['0.8.1.0']),
% 115.95/116.34 [equation_2]).
% 115.95/116.34 cnf('0.9.0.0',axiom,
% 115.95/116.34 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 115.95/116.34 file('/tmp/WALDMEISTER_26501_n012')).
% 115.95/116.34 cnf('0.9.1.0',plain,
% 115.95/116.34 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 115.95/116.34 inference(weigh,[status(thm)],['0.9.0.0']),
% 115.95/116.34 [weight('<8,0,0,[0,0,0,9]>')]).
% 115.95/116.34 cnf('0.9.2.0',plain,
% 115.95/116.34 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 115.95/116.34 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 115.95/116.34 [x,rule_7]).
% 115.95/116.35 cnf('0.10.0.0',plain,
% 115.95/116.35 ( X1 = meet(X1,join(X2,X1)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.10.1.0',plain,
% 115.95/116.35 ( X1 = meet(X1,join(X2,X1)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.10.0.0']),
% 115.95/116.35 [weight('<5,5,4,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.10.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,X1)) = X1 ),
% 115.95/116.35 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_8]).
% 115.95/116.35 cnf('0.12.0.0',plain,
% 115.95/116.35 ( X1 = join(X1,meet(X2,X1)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.12.1.0',plain,
% 115.95/116.35 ( X1 = join(X1,meet(X2,X1)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.12.0.0']),
% 115.95/116.35 [weight('<5,8,2,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.12.2.0',plain,
% 115.95/116.35 ( join(X1,meet(X2,X1)) = X1 ),
% 115.95/116.35 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_10]).
% 115.95/116.35 cnf('0.14.0.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.14.0.1',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.14.1.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.14.0.1']),
% 115.95/116.35 [weight('<5,10,2,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.14.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_12]).
% 115.95/116.35 cnf('0.16.0.0',plain,
% 115.95/116.35 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.16.1.0',plain,
% 115.95/116.35 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.16.0.0']),
% 115.95/116.35 [weight('<7,6,2,[1,0,0,1]>')]).
% 115.95/116.35 cnf('0.16.2.0',plain,
% 115.95/116.35 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_14]).
% 115.95/116.35 cnf('0.17.0.0',plain,
% 115.95/116.35 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.17.1.0',plain,
% 115.95/116.35 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.17.0.0']),
% 115.95/116.35 [weight('<7,9,4,[1,0,0,1]>')]).
% 115.95/116.35 cnf('0.17.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_15]).
% 115.95/116.35 cnf('0.19.0.0',plain,
% 115.95/116.35 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.19.1.0',plain,
% 115.95/116.35 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.19.0.0']),
% 115.95/116.35 [weight('<7,10,9,[0,0,0,1]>')]).
% 115.95/116.35 cnf('0.19.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_17]).
% 115.95/116.35 cnf('0.20.0.0',plain,
% 115.95/116.35 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.20.1.0',plain,
% 115.95/116.35 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.20.0.0']),
% 115.95/116.35 [weight('<7,12,6,[0,0,0,1]>')]).
% 115.95/116.35 cnf('0.20.2.0',plain,
% 115.95/116.35 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_18]).
% 115.95/116.35 cnf('0.21.0.0',plain,
% 115.95/116.35 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.21.1.0',plain,
% 115.95/116.35 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.21.0.0']),
% 115.95/116.35 [weight('<7,12,9,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.21.2.0',plain,
% 115.95/116.35 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 115.95/116.35 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_19]).
% 115.95/116.35 cnf('0.22.0.0',plain,
% 115.95/116.35 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.22.0.1',plain,
% 115.95/116.35 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.22.0.2',plain,
% 115.95/116.35 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.22.1.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.22.0.2']),
% 115.95/116.35 [weight('<7,14,9,[0,0,0,1]>')]).
% 115.95/116.35 cnf('0.22.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_20]).
% 115.95/116.35 cnf('0.37.0.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 115.95/116.35 [pos('L','L')]).
% 115.95/116.35 cnf('0.37.1.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.37.0.0']),
% 115.95/116.35 [weight('<9,9,4,[1,0,0,0]>')]).
% 115.95/116.35 cnf('0.37.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_35]).
% 115.95/116.35 cnf('0.38.0.0',plain,
% 115.95/116.35 ( join(X1,meet(X2,join(X2,meet(X1,X3)))) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.1.2','L')]).
% 115.95/116.35 cnf('0.38.0.1',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.38.0.0','0.4.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.38.1.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.38.0.1']),
% 115.95/116.35 [weight('<9,10,7,[0,0,0,5]>')]).
% 115.95/116.35 cnf('0.38.2.0',plain,
% 115.95/116.35 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_36]).
% 115.95/116.35 cnf('0.39.0.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 115.95/116.35 [pos('L','L')]).
% 115.95/116.35 cnf('0.39.1.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.39.0.0']),
% 115.95/116.35 [weight('<9,10,9,[1,0,0,0]>')]).
% 115.95/116.35 cnf('0.39.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_37]).
% 115.95/116.35 cnf('0.41.0.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.41.1.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.41.0.0']),
% 115.95/116.35 [weight('<9,16,10,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.41.1.1',plain,
% 115.95/116.35 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.41.2.0',plain,
% 115.95/116.35 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 115.95/116.35 [x,rule_39]).
% 115.95/116.35 cnf('0.59.0.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.59.1.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.59.0.0']),
% 115.95/116.35 [weight('<9,20,10,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.59.1.1',plain,
% 115.95/116.35 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.59.1.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.59.2.0',plain,
% 115.95/116.35 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.59.1.1',theory(equality)]),
% 115.95/116.35 [x,rule_57]).
% 115.95/116.35 cnf('0.69.0.0',plain,
% 115.95/116.35 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.69.1.0',plain,
% 115.95/116.35 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.69.0.0']),
% 115.95/116.35 [weight('<9,22,21,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.69.2.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_67]).
% 115.95/116.35 cnf('0.94.0.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,meet(X2,join(meet(X2,X1),X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.37.2.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.1','L')]).
% 115.95/116.35 cnf('0.94.1.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,meet(X2,join(meet(X2,X1),X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.94.0.0']),
% 115.95/116.35 [weight('<9,37,8,[1,0,0,5]>')]).
% 115.95/116.35 cnf('0.94.2.0',plain,
% 115.95/116.35 ( meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_92]).
% 115.95/116.35 cnf('0.95.0.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.38.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.1','L')]).
% 115.95/116.35 cnf('0.95.1.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.95.0.0']),
% 115.95/116.35 [weight('<9,38,5,[1,0,0,3]>')]).
% 115.95/116.35 cnf('0.95.2.0',plain,
% 115.95/116.35 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_93]).
% 115.95/116.35 cnf('0.96.0.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,X2))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.38.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.96.1.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,X2))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.96.0.0']),
% 115.95/116.35 [weight('<9,38,5,[1,0,0,6]>')]).
% 115.95/116.35 cnf('0.96.2.0',plain,
% 115.95/116.35 ( join(X1,meet(join(X1,X2),join(X3,X2))) = join(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_94]).
% 115.95/116.35 cnf('0.100.0.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.41.2.0','0.2.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.100.1.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.100.0.0']),
% 115.95/116.35 [weight('<9,41,2,[1,0,0,1]>')]).
% 115.95/116.35 cnf('0.100.2.0',plain,
% 115.95/116.35 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_98]).
% 115.95/116.35 cnf('0.120.0.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.59.2.0','0.2.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.1','L')]).
% 115.95/116.35 cnf('0.120.1.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.120.0.0']),
% 115.95/116.35 [weight('<9,59,2,[1,0,0,1]>')]).
% 115.95/116.35 cnf('0.120.2.0',plain,
% 115.95/116.35 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_116]).
% 115.95/116.35 cnf('0.129.0.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.95.2.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.129.1.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.129.0.0']),
% 115.95/116.35 [weight('<9,95,8,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.129.2.0',plain,
% 115.95/116.35 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_125]).
% 115.95/116.35 cnf('0.132.0.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X1,X2))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.96.2.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.132.1.0',plain,
% 115.95/116.35 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X1,X2))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.132.0.0']),
% 115.95/116.35 [weight('<9,96,8,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.132.2.0',plain,
% 115.95/116.35 ( join(X1,meet(join(X2,X3),join(X1,X3))) = join(X1,X3) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_128]).
% 115.95/116.35 cnf('0.134.0.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,join(meet(X2,X1),meet(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.94.2.0','0.100.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.134.1.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,join(meet(X2,X1),meet(X2,X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.134.0.0']),
% 115.95/116.35 [weight('<9,100,94,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.134.2.0',plain,
% 115.95/116.35 ( meet(X1,join(meet(X2,X1),meet(X2,X3))) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_130]).
% 115.95/116.35 cnf('0.141.0.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.37.2.0','0.120.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.141.1.0',plain,
% 115.95/116.35 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.141.0.0']),
% 115.95/116.35 [weight('<9,120,37,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.141.2.0',plain,
% 115.95/116.35 ( meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_135]).
% 115.95/116.35 cnf('0.150.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(join(X2,X3),X1),X2)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.134.2.0','0.129.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.150.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(join(X2,X3),X1),X2)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.150.0.0']),
% 115.95/116.35 [weight('<9,134,129,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.150.1.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X2,X3),X1))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.150.1.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('R.2','L')]).
% 115.95/116.35 cnf('0.150.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),X1))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.150.1.1',theory(equality)]),
% 115.95/116.35 [x,rule_144]).
% 115.95/116.35 cnf('0.153.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.141.2.0','0.129.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.153.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.153.0.0']),
% 115.95/116.35 [weight('<9,141,129,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.153.1.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,join(X2,X3)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.153.1.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('R.2','L')]).
% 115.95/116.35 cnf('0.153.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.153.1.1',theory(equality)]),
% 115.95/116.35 [x,rule_147]).
% 115.95/116.35 cnf('0.156.0.0',plain,
% 115.95/116.35 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L','L')]).
% 115.95/116.35 cnf('0.156.1.0',plain,
% 115.95/116.35 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.156.0.0']),
% 115.95/116.35 [weight('<10,6,5,[1,0,0,0]>')]).
% 115.95/116.35 cnf('0.156.2.0',plain,
% 115.95/116.35 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 115.95/116.35 inference(activate,[status(thm)],['0.156.1.0']),
% 115.95/116.35 [equation_7]).
% 115.95/116.35 cnf('0.158.0.0',plain,
% 115.95/116.35 ( join(X1,meet(X2,join(X3,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.158.1.0',plain,
% 115.95/116.35 ( join(X1,meet(X2,join(X3,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.158.0.0']),
% 115.95/116.35 [weight('<11,7,1,[1,0,0,10]>')]).
% 115.95/116.35 cnf('0.158.1.1',plain,
% 115.95/116.35 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.158.1.0','0.12.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.158.1.2',plain,
% 115.95/116.35 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,join(X1,X3))))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.158.1.1','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('R.2','L')]).
% 115.95/116.35 cnf('0.158.2.0',plain,
% 115.95/116.35 ( join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))) = join(X1,meet(X3,X2)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.158.1.2',theory(equality)]),
% 115.95/116.35 [x,rule_150]).
% 115.95/116.35 cnf('0.159.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.153.2.0','0.158.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.159.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.159.0.0']),
% 115.95/116.35 [weight('<9,158,153,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.159.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_151]).
% 115.95/116.35 cnf('0.160.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.159.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2','L')]).
% 115.95/116.35 cnf('0.160.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.160.0.0']),
% 115.95/116.35 [weight('<9,159,5,[1,0,0,6]>')]).
% 115.95/116.35 cnf('0.160.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_152]).
% 115.95/116.35 cnf('0.307.0.0',plain,
% 115.95/116.35 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,join(meet(X1,X2),X3)),meet(X1,X2)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.69.2.0','0.37.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.307.1.0',plain,
% 115.95/116.35 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,join(meet(X1,X2),X3)),meet(X1,X2)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.307.0.0']),
% 115.95/116.35 [weight('<11,69,37,[1,0,0,4]>')]).
% 115.95/116.35 cnf('0.307.1.1',plain,
% 115.95/116.35 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.307.1.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.307.2.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))) = meet(X1,join(meet(X1,X2),X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.307.1.1',theory(equality)]),
% 115.95/116.35 [x,rule_299]).
% 115.95/116.35 cnf('0.308.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.69.2.0','0.39.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.308.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.308.0.0']),
% 115.95/116.35 [weight('<11,69,39,[1,0,0,4]>')]).
% 115.95/116.35 cnf('0.308.1.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X3),meet(X1,join(X2,meet(X1,X3)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.308.1.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.308.2.0',plain,
% 115.95/116.35 ( join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.308.1.1',theory(equality)]),
% 115.95/116.35 [x,rule_300]).
% 115.95/116.35 cnf('0.595.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,meet(join(X1,X4),join(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.17.2.0','0.150.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.595.0.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.595.0.0','0.17.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.595.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.595.0.1']),
% 115.95/116.35 [weight('<11,150,17,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.595.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X1,X4)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.595.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_587]).
% 115.95/116.35 cnf('0.596.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,meet(join(X4,X1),join(X2,X3))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.19.2.0','0.150.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.596.0.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.596.0.0','0.19.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.596.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.596.0.1']),
% 115.95/116.35 [weight('<11,150,19,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.596.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(join(X2,X3),join(X4,X1)))) = meet(X1,join(X2,X3)) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.596.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_588]).
% 115.95/116.35 cnf('0.624.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(join(X1,X4),X2)))) = meet(X1,meet(join(X1,X4),join(X2,meet(X3,join(X1,X4))))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.17.2.0','0.160.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.624.0.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,meet(join(X1,X4),join(X2,meet(X3,join(X1,X4))))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.624.0.0','0.6.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2','L')]).
% 115.95/116.35 cnf('0.624.0.2',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.624.0.1','0.17.2.0',theory(equality)]),
% 115.95/116.35 [pos('R','L')]).
% 115.95/116.35 cnf('0.624.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.624.0.2']),
% 115.95/116.35 [weight('<11,160,17,[0,0,0,2]>')]).
% 115.95/116.35 cnf('0.624.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.624.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_616]).
% 115.95/116.35 cnf('0.803.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.595.2.0','0.7.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.803.0.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.803.0.0','0.159.2.0',theory(equality)]),
% 115.95/116.35 [pos('L','L')]).
% 115.95/116.35 cnf('0.803.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.803.0.1']),
% 115.95/116.35 [weight('<11,595,7,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.803.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.803.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_795]).
% 115.95/116.35 cnf('0.804.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.596.2.0','0.7.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.804.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.804.0.0']),
% 115.95/116.35 [weight('<11,596,7,[1,0,0,2]>')]).
% 115.95/116.35 cnf('0.804.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.804.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_796]).
% 115.95/116.35 cnf('0.834.0.0',plain,
% 115.95/116.35 ( meet(X1,join(join(X2,X3),meet(X4,X1))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.803.2.0','0.132.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2','L')]).
% 115.95/116.35 cnf('0.834.0.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.834.0.0','0.6.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2','L')]).
% 115.95/116.35 cnf('0.834.0.2',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.834.0.1','0.6.2.0',theory(equality)]),
% 115.95/116.35 [pos('R.2','L')]).
% 115.95/116.35 cnf('0.834.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.834.0.2']),
% 115.95/116.35 [weight('<11,803,132,[1,0,0,6]>')]).
% 115.95/116.35 cnf('0.834.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.834.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_826]).
% 115.95/116.35 cnf('0.835.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.804.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2','L')]).
% 115.95/116.35 cnf('0.835.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.835.0.0']),
% 115.95/116.35 [weight('<11,804,5,[1,0,0,6]>')]).
% 115.95/116.35 cnf('0.835.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.835.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_827]).
% 115.95/116.35 cnf('0.868.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.834.2.0','0.308.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.868.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.868.0.0']),
% 115.95/116.35 [weight('<11,834,308,[1,0,0,4]>')]).
% 115.95/116.35 cnf('0.868.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.868.1.0',theory(equality)]),
% 115.95/116.35 [u,rule_860]).
% 115.95/116.35 cnf('0.870.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X1,X2),X4)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.835.2.0','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2.1','L')]).
% 115.95/116.35 cnf('0.870.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X1,X2),X4)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.870.0.0']),
% 115.95/116.35 [weight('<11,835,8,[1,0,0,7]>')]).
% 115.95/116.35 cnf('0.870.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(meet(X1,X2),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.870.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_862]).
% 115.95/116.35 cnf('0.902.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X3,X1),meet(X3,X4)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.868.2.0','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.902.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X3,X1),meet(X3,X4)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.902.0.0']),
% 115.95/116.35 [weight('<11,868,5,[1,0,0,4]>')]).
% 115.95/116.35 cnf('0.902.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,join(meet(X3,X1),meet(X3,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.902.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_894]).
% 115.95/116.35 cnf('0.917.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(meet(X3,X1),X4)))))) = meet(X1,join(X2,meet(X3,join(meet(X3,X1),X4)))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.902.2.0','0.307.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.917.0.1',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X1,X4)))))) = meet(X1,join(X2,meet(X3,join(meet(X3,X1),X4)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.917.0.0','0.870.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.917.0.2',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X3,X1),X4)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['0.917.0.1','0.153.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2','L')]).
% 115.95/116.35 cnf('0.917.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X3,X1),X4)))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.917.0.2']),
% 115.95/116.35 [weight('<11,902,307,[1,0,0,4]>')]).
% 115.95/116.35 cnf('0.917.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(meet(X3,X1),X4)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.917.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_909]).
% 115.95/116.35 cnf('0.4741.0.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X5))))) = meet(X1,join(X2,meet(X3,join(X4,join(X5,meet(X3,X1)))))) ),
% 115.95/116.35 inference(cp,[status(thm)],['0.917.2.0','0.156.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2','R')]).
% 115.95/116.35 cnf('0.4741.1.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X1,join(X4,X5))))) = meet(X1,join(X2,meet(X3,join(X4,join(X5,meet(X3,X1)))))) ),
% 115.95/116.35 inference(weigh,[status(thm)],['0.4741.0.0']),
% 115.95/116.35 [weight('<13,917,156,[1,0,1,6]>')]).
% 115.95/116.35 cnf('0.4741.2.0',plain,
% 115.95/116.35 ( meet(X1,join(X2,meet(X3,join(X4,join(X5,meet(X3,X1)))))) = meet(X1,join(X2,meet(X3,join(X1,join(X4,X5))))) ),
% 115.95/116.35 inference(orient,[status(thm)],['0.4741.1.0',theory(equality)]),
% 115.95/116.35 [x,rule_4721]).
% 115.95/116.35 cnf('1.0.0.0',conjecture,
% 115.95/116.35 ( meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 115.95/116.35 file('/tmp/WALDMEISTER_26501_n012',conjecture_1)).
% 115.95/116.35 cnf('1.0.0.1',plain,
% 115.95/116.35 ( meet(a,join(b,meet(c,join(d,join(meet(a,c),b))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['1.0.0.0','0.156.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2','R')]).
% 115.95/116.35 cnf('1.0.0.2',plain,
% 115.95/116.35 ( meet(a,join(b,meet(c,join(d,join(b,meet(a,c)))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2.2','L')]).
% 115.95/116.35 cnf('1.0.0.3',plain,
% 115.95/116.35 ( meet(a,join(b,meet(c,join(d,join(b,meet(c,a)))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['1.0.0.2','0.8.2.0',theory(equality)]),
% 115.95/116.35 [pos('L.2.2.2.2.2','L')]).
% 115.95/116.35 cnf('1.0.0.4',plain,
% 115.95/116.35 ( meet(a,join(b,meet(c,join(a,join(d,b))))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['1.0.0.3','0.4741.2.0',theory(equality)]),
% 115.95/116.35 [pos('L','L')]).
% 115.95/116.35 cnf('1.0.0.5',plain,
% 115.95/116.35 ( meet(a,join(b,meet(c,join(a,d)))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 115.95/116.35 inference(reduction,[status(thm)],['1.0.0.4','0.624.2.0',theory(equality)]),
% 115.95/116.35 [pos('L','L')]).
% 115.95/116.35 cnf('1.0.0.6',plain,
% 115.95/116.35 ( $true ),
% 115.95/116.35 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 115.95/116.35 [conjecture_1]).
% 115.95/116.35
% 115.95/116.35 Proved Goals:
% 115.95/116.35 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))))
% 115.95/116.35 1 goal was specified, which was proved.
% 115.95/116.35 % SZS output end CNFRefutation
% 115.95/116.35 #END OF PROOF
% 115.95/116.35
% 115.95/116.35 Problem WALDMEISTER_26501_n012
% 115.95/116.35 CPs.gen 24955319
% 115.95/116.35 CPs.reexp 0
% 115.95/116.35 Select 310168
% 115.95/116.35 R 4721
% 115.95/116.35 E 20
% 115.95/116.35 vsize 12.8M
% 115.95/116.35 rss 8.2M
% 115.95/116.35 process.time 115.362s
% 115.95/116.35 wallclock.time 115.377s
% 115.95/116.35 status S
% 115.95/116.35
% 115.95/116.35
% 115.95/116.35 Waldmeister states: Goal proved.
% 115.95/116.35 % SZS status Unsatisfiable
%------------------------------------------------------------------------------