%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT171-1 : 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 07:15:30 EDT 2022
% Result : Unsatisfiable 10.65s 11.02s
% Output : CNFRefutation 10.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n007.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 06:32:07 EDT 2022
% 0.12/0.34 % 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(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?=? meet(a,join(b,meet(a,c)))
% 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
% 10.65/11.02 joined goal: 1 meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) to meet(a,join(b,meet(c,a)))
% 10.65/11.02 goal joined
% 10.65/11.02 % SZS status Unsatisfiable
% 10.65/11.02 #START OF PROOF
% 10.65/11.02 % SZS output start CNFRefutation
% 10.65/11.02 cnf('0.1.0.0',axiom,
% 10.65/11.02 ( X1 = meet(X1,X1) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.1.1.0',plain,
% 10.65/11.02 ( X1 = meet(X1,X1) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 10.65/11.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 10.65/11.02 cnf('0.1.2.0',plain,
% 10.65/11.02 ( meet(X1,X1) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_1]).
% 10.65/11.02 cnf('0.2.0.0',axiom,
% 10.65/11.02 ( X1 = meet(X1,join(X1,X2)) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.2.1.0',plain,
% 10.65/11.02 ( X1 = meet(X1,join(X1,X2)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 10.65/11.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.2.2.0',plain,
% 10.65/11.02 ( meet(X1,join(X1,X2)) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_2]).
% 10.65/11.02 cnf('0.4.0.0',axiom,
% 10.65/11.02 ( X1 = join(X1,meet(X1,X2)) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.4.1.0',plain,
% 10.65/11.02 ( X1 = join(X1,meet(X1,X2)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.4.0.0']),
% 10.65/11.02 [weight('<3,0,0,[0,0,0,4]>')]).
% 10.65/11.02 cnf('0.4.2.0',plain,
% 10.65/11.02 ( join(X1,meet(X1,X2)) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_4]).
% 10.65/11.02 cnf('0.5.0.0',axiom,
% 10.65/11.02 ( meet(X1,X2) = meet(X2,X1) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.5.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X2,X1) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 10.65/11.02 [weight('<4,0,0,[0,0,0,5]>')]).
% 10.65/11.02 cnf('0.5.2.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X2,X1) ),
% 10.65/11.02 inference(activate,[status(thm)],['0.5.1.0']),
% 10.65/11.02 [equation_1]).
% 10.65/11.02 cnf('0.6.0.0',axiom,
% 10.65/11.02 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.6.1.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 10.65/11.02 [weight('<5,0,0,[0,0,0,6]>')]).
% 10.65/11.02 cnf('0.6.2.0',plain,
% 10.65/11.02 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_5]).
% 10.65/11.02 cnf('0.7.0.0',axiom,
% 10.65/11.02 ( meet(X1,join(meet(X1,X2),meet(join(X1,X2),X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.7.1.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X1,X2),meet(join(X1,X2),X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 10.65/11.02 [weight('<6,0,0,[0,0,0,7]>')]).
% 10.65/11.02 cnf('0.7.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X1,X2),meet(join(X1,X2),X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_6]).
% 10.65/11.02 cnf('0.8.0.0',axiom,
% 10.65/11.02 ( join(X1,X2) = join(X2,X1) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.8.1.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X2,X1) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 10.65/11.02 [weight('<7,0,0,[0,0,0,8]>')]).
% 10.65/11.02 cnf('0.8.2.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X2,X1) ),
% 10.65/11.02 inference(activate,[status(thm)],['0.8.1.0']),
% 10.65/11.02 [equation_2]).
% 10.65/11.02 cnf('0.9.0.0',axiom,
% 10.65/11.02 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007')).
% 10.65/11.02 cnf('0.9.1.0',plain,
% 10.65/11.02 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 10.65/11.02 [weight('<8,0,0,[0,0,0,9]>')]).
% 10.65/11.02 cnf('0.9.2.0',plain,
% 10.65/11.02 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_7]).
% 10.65/11.02 cnf('0.10.0.0',plain,
% 10.65/11.02 ( X1 = join(X1,meet(X2,X1)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.10.1.0',plain,
% 10.65/11.02 ( X1 = join(X1,meet(X2,X1)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.10.0.0']),
% 10.65/11.02 [weight('<5,5,4,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.10.2.0',plain,
% 10.65/11.02 ( join(X1,meet(X2,X1)) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_8]).
% 10.65/11.02 cnf('0.11.0.0',plain,
% 10.65/11.02 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.11.1.0',plain,
% 10.65/11.02 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.11.0.0']),
% 10.65/11.02 [weight('<5,6,1,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.11.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_9]).
% 10.65/11.02 cnf('0.12.0.0',plain,
% 10.65/11.02 ( X1 = meet(X1,join(X2,X1)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.12.1.0',plain,
% 10.65/11.02 ( X1 = meet(X1,join(X2,X1)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.12.0.0']),
% 10.65/11.02 [weight('<5,8,2,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.12.2.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,X1)) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_10]).
% 10.65/11.02 cnf('0.14.0.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.14.0.1',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.14.1.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.14.0.1']),
% 10.65/11.02 [weight('<5,10,2,[1,0,0,2]>')]).
% 10.65/11.02 cnf('0.14.2.0',plain,
% 10.65/11.02 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_12]).
% 10.65/11.02 cnf('0.15.0.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.15.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.15.0.0']),
% 10.65/11.02 [weight('<5,11,5,[1,0,0,2]>')]).
% 10.65/11.02 cnf('0.15.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_13]).
% 10.65/11.02 cnf('0.16.0.0',plain,
% 10.65/11.02 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.16.1.0',plain,
% 10.65/11.02 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.16.0.0']),
% 10.65/11.02 [weight('<7,6,2,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.16.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_14]).
% 10.65/11.02 cnf('0.17.0.0',plain,
% 10.65/11.02 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.17.1.0',plain,
% 10.65/11.02 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.17.0.0']),
% 10.65/11.02 [weight('<7,9,4,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.17.2.0',plain,
% 10.65/11.02 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_15]).
% 10.65/11.02 cnf('0.18.0.0',plain,
% 10.65/11.02 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.18.1.0',plain,
% 10.65/11.02 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.18.0.0']),
% 10.65/11.02 [weight('<7,10,6,[1,0,0,2]>')]).
% 10.65/11.02 cnf('0.18.2.0',plain,
% 10.65/11.02 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_16]).
% 10.65/11.02 cnf('0.19.0.0',plain,
% 10.65/11.02 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.19.1.0',plain,
% 10.65/11.02 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.19.0.0']),
% 10.65/11.02 [weight('<7,10,9,[0,0,0,1]>')]).
% 10.65/11.02 cnf('0.19.2.0',plain,
% 10.65/11.02 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_17]).
% 10.65/11.02 cnf('0.20.0.0',plain,
% 10.65/11.02 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.20.1.0',plain,
% 10.65/11.02 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.20.0.0']),
% 10.65/11.02 [weight('<7,12,6,[0,0,0,1]>')]).
% 10.65/11.02 cnf('0.20.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_18]).
% 10.65/11.02 cnf('0.21.0.0',plain,
% 10.65/11.02 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.21.1.0',plain,
% 10.65/11.02 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.21.0.0']),
% 10.65/11.02 [weight('<7,12,9,[1,0,0,2]>')]).
% 10.65/11.02 cnf('0.21.2.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 10.65/11.02 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_19]).
% 10.65/11.02 cnf('0.22.0.0',plain,
% 10.65/11.02 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.22.0.1',plain,
% 10.65/11.02 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.22.0.2',plain,
% 10.65/11.02 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.22.1.0',plain,
% 10.65/11.02 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.22.0.2']),
% 10.65/11.02 [weight('<7,14,9,[0,0,0,1]>')]).
% 10.65/11.02 cnf('0.22.2.0',plain,
% 10.65/11.02 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_20]).
% 10.65/11.02 cnf('0.25.0.0',plain,
% 10.65/11.02 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.25.0.1',plain,
% 10.65/11.02 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.25.0.2',plain,
% 10.65/11.02 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.25.1.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.25.0.2']),
% 10.65/11.02 [weight('<7,15,6,[0,0,0,1]>')]).
% 10.65/11.02 cnf('0.25.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_23]).
% 10.65/11.02 cnf('0.28.0.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.28.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.28.0.0']),
% 10.65/11.02 [weight('<7,16,5,[1,0,0,2]>')]).
% 10.65/11.02 cnf('0.28.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_26]).
% 10.65/11.02 cnf('0.32.0.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(join(X1,X2),meet(X3,X1)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.2','L')]).
% 10.65/11.02 cnf('0.32.0.1',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.32.1.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.32.0.1']),
% 10.65/11.02 [weight('<7,18,2,[1,0,0,4]>')]).
% 10.65/11.02 cnf('0.32.2.0',plain,
% 10.65/11.02 ( join(X1,join(X2,meet(X3,X1))) = join(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_30]).
% 10.65/11.02 cnf('0.37.0.0',plain,
% 10.65/11.02 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('0.37.1.0',plain,
% 10.65/11.02 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.37.0.0']),
% 10.65/11.02 [weight('<9,9,4,[1,0,0,0]>')]).
% 10.65/11.02 cnf('0.37.2.0',plain,
% 10.65/11.02 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_35]).
% 10.65/11.02 cnf('0.39.0.0',plain,
% 10.65/11.02 ( join(meet(X1,meet(X1,X2)),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(join(X1,meet(X1,X2)),X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.7.2.0','0.11.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.1','L')]).
% 10.65/11.02 cnf('0.39.0.1',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(join(X1,meet(X1,X2)),X3))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.39.0.0','0.11.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.39.0.2',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.39.0.1','0.4.2.0',theory(equality)]),
% 10.65/11.02 [pos('R.2.2.1','L')]).
% 10.65/11.02 cnf('0.39.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.39.0.2']),
% 10.65/11.02 [weight('<9,11,7,[0,0,0,3]>')]).
% 10.65/11.02 cnf('0.39.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_37]).
% 10.65/11.02 cnf('0.40.0.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('0.40.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.40.0.0']),
% 10.65/11.02 [weight('<9,12,6,[1,0,0,0]>')]).
% 10.65/11.02 cnf('0.40.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_38]).
% 10.65/11.02 cnf('0.41.0.0',plain,
% 10.65/11.02 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.41.1.0',plain,
% 10.65/11.02 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.41.0.0']),
% 10.65/11.02 [weight('<9,16,10,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.41.1.1',plain,
% 10.65/11.02 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.41.2.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 10.65/11.02 [x,rule_39]).
% 10.65/11.02 cnf('0.55.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.55.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.55.0.0']),
% 10.65/11.02 [weight('<9,19,12,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.55.1.1',plain,
% 10.65/11.02 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.55.1.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.55.2.0',plain,
% 10.65/11.02 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.55.1.1',theory(equality)]),
% 10.65/11.02 [x,rule_53]).
% 10.65/11.02 cnf('0.66.0.0',plain,
% 10.65/11.02 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(meet(X1,X3),join(X2,X4))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.17.2.0','0.22.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.66.0.1',plain,
% 10.65/11.02 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.66.0.0','0.17.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.66.1.0',plain,
% 10.65/11.02 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.66.0.1']),
% 10.65/11.02 [weight('<9,22,17,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.66.2.0',plain,
% 10.65/11.02 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_64]).
% 10.65/11.02 cnf('0.76.0.0',plain,
% 10.65/11.02 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.76.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.76.0.0']),
% 10.65/11.02 [weight('<9,25,18,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.76.2.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_74]).
% 10.65/11.02 cnf('0.83.0.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.10.2.0','0.28.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.83.1.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.83.0.0']),
% 10.65/11.02 [weight('<9,28,10,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.83.1.1',plain,
% 10.65/11.02 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.83.1.0','0.8.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.83.2.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.83.1.1',theory(equality)]),
% 10.65/11.02 [x,rule_81]).
% 10.65/11.02 cnf('0.94.0.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.37.2.0','0.8.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.2.1','L')]).
% 10.65/11.02 cnf('0.94.1.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.94.0.0']),
% 10.65/11.02 [weight('<9,37,8,[1,0,0,5]>')]).
% 10.65/11.02 cnf('0.94.2.0',plain,
% 10.65/11.02 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_92]).
% 10.65/11.02 cnf('0.96.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),meet(X1,X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.1','L')]).
% 10.65/11.02 cnf('0.96.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),meet(X1,X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.96.0.0']),
% 10.65/11.02 [weight('<9,39,5,[1,0,0,3]>')]).
% 10.65/11.02 cnf('0.96.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_94]).
% 10.65/11.02 cnf('0.98.0.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.40.2.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.2.2','L')]).
% 10.65/11.02 cnf('0.98.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.98.0.0']),
% 10.65/11.02 [weight('<9,40,5,[1,0,0,6]>')]).
% 10.65/11.02 cnf('0.98.2.0',plain,
% 10.65/11.02 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_96]).
% 10.65/11.02 cnf('0.99.0.0',plain,
% 10.65/11.02 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.41.2.0','0.2.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.99.1.0',plain,
% 10.65/11.02 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.99.0.0']),
% 10.65/11.02 [weight('<9,41,2,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.99.2.0',plain,
% 10.65/11.02 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_97]).
% 10.65/11.02 cnf('0.116.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.55.2.0','0.10.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.116.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.116.0.0']),
% 10.65/11.02 [weight('<9,55,10,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.116.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_112]).
% 10.65/11.02 cnf('0.127.0.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.94.2.0','0.99.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.127.1.0',plain,
% 10.65/11.02 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.127.0.0']),
% 10.65/11.02 [weight('<9,99,94,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.127.2.0',plain,
% 10.65/11.02 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X1,X2) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_123]).
% 10.65/11.02 cnf('0.135.0.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X1,X2))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.40.2.0','0.116.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.135.1.0',plain,
% 10.65/11.02 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X1,X2))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.135.0.0']),
% 10.65/11.02 [weight('<9,116,40,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.135.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X2,X3),meet(X1,X3))) = meet(X1,X3) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_129]).
% 10.65/11.02 cnf('0.148.0.0',plain,
% 10.65/11.02 ( join(X1,meet(X2,X3)) = join(X1,meet(join(meet(X2,X3),X1),X3)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.127.2.0','0.135.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.148.1.0',plain,
% 10.65/11.02 ( join(X1,meet(X2,X3)) = join(X1,meet(join(meet(X2,X3),X1),X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.148.0.0']),
% 10.65/11.02 [weight('<9,135,127,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.148.1.1',plain,
% 10.65/11.02 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(meet(X2,X3),X1))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.148.1.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('R.2','L')]).
% 10.65/11.02 cnf('0.148.2.0',plain,
% 10.65/11.02 ( join(X1,meet(X2,join(meet(X3,X2),X1))) = join(X1,meet(X3,X2)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.148.1.1',theory(equality)]),
% 10.65/11.02 [x,rule_142]).
% 10.65/11.02 cnf('0.155.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.2','L')]).
% 10.65/11.02 cnf('0.155.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.155.0.0']),
% 10.65/11.02 [weight('<11,7,5,[1,0,0,6]>')]).
% 10.65/11.02 cnf('0.155.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_147]).
% 10.65/11.02 cnf('0.283.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.21.2.0','0.66.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.283.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.283.0.0']),
% 10.65/11.02 [weight('<11,66,21,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.283.2.0',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) = join(meet(X1,X2),X3) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.283.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_275]).
% 10.65/11.02 cnf('0.324.0.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.76.2.0','0.40.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.324.1.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.324.0.0']),
% 10.65/11.02 [weight('<11,76,40,[1,0,0,4]>')]).
% 10.65/11.02 cnf('0.324.1.1',plain,
% 10.65/11.02 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X3),meet(X1,join(X2,meet(X1,X3)))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.324.1.0','0.8.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.324.2.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.324.1.1',theory(equality)]),
% 10.65/11.02 [x,rule_316]).
% 10.65/11.02 cnf('0.342.0.0',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(join(meet(X1,X2),meet(X1,X3)),meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.83.2.0','0.39.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.342.0.1',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),join(meet(X1,X3),meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.342.0.0','0.9.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.342.0.2',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.342.0.1','0.37.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.342.1.0',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.342.0.2']),
% 10.65/11.02 [weight('<11,83,39,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.342.2.0',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),meet(X1,X3)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.342.1.0',theory(equality)]),
% 10.65/11.02 [u,rule_334]).
% 10.65/11.02 cnf('0.396.0.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X3,X1)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.10.2.0','0.98.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.396.1.0',plain,
% 10.65/11.02 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X3,X1)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.396.0.0']),
% 10.65/11.02 [weight('<11,98,10,[0,0,0,2]>')]).
% 10.65/11.02 cnf('0.396.1.1',plain,
% 10.65/11.02 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X3,X1),meet(X1,join(X2,meet(X1,X3)))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.396.1.0','0.8.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.396.2.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X2,join(X3,meet(X2,X1)))) = meet(X2,join(X3,meet(X2,X1))) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.396.1.1',theory(equality)]),
% 10.65/11.02 [x,rule_388]).
% 10.65/11.02 cnf('0.682.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X3,X1)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.283.2.0','0.32.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('0.682.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X3,X1)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.682.0.0']),
% 10.65/11.02 [weight('<11,283,32,[1,0,0,6]>')]).
% 10.65/11.02 cnf('0.682.2.0',plain,
% 10.65/11.02 ( meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) = join(meet(X1,X2),meet(X3,X1)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.682.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_670]).
% 10.65/11.02 cnf('0.693.0.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,join(meet(X3,X1),meet(X1,X2)))) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.342.2.0','0.148.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.693.0.1',plain,
% 10.65/11.02 ( meet(X1,join(meet(X3,X1),meet(X1,X2))) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.693.0.0','0.324.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('0.693.0.2',plain,
% 10.65/11.02 ( join(meet(X1,X3),meet(X1,X2)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.693.0.1','0.96.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('0.693.1.0',plain,
% 10.65/11.02 ( join(meet(X1,X3),meet(X1,X2)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.693.0.2']),
% 10.65/11.02 [weight('<11,342,148,[1,0,0,1]>')]).
% 10.65/11.02 cnf('0.693.1.1',plain,
% 10.65/11.02 ( join(meet(X1,X3),meet(X1,X2)) = join(meet(X1,X2),meet(X3,X1)) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.693.1.0','0.682.2.0',theory(equality)]),
% 10.65/11.02 [pos('R','L')]).
% 10.65/11.02 cnf('0.693.2.0',plain,
% 10.65/11.02 ( join(meet(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 10.65/11.02 inference(activate,[status(thm)],['0.693.1.1']),
% 10.65/11.02 [equation_13]).
% 10.65/11.02 cnf('0.1761.0.0',plain,
% 10.65/11.02 ( join(meet(X1,meet(join(X2,X1),join(X2,X3))),meet(X1,X4)) = meet(X1,join(meet(X1,meet(join(X2,X1),join(X2,X3))),meet(X4,join(X1,X2)))) ),
% 10.65/11.02 inference(cp,[status(thm)],['0.155.2.0','0.127.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.2.2','L')]).
% 10.65/11.02 cnf('0.1761.0.1',plain,
% 10.65/11.02 ( join(meet(X1,join(X2,X3)),meet(X1,X4)) = meet(X1,join(meet(X1,meet(join(X2,X1),join(X2,X3))),meet(X4,join(X1,X2)))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.1761.0.0','0.20.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('0.1761.0.2',plain,
% 10.65/11.02 ( join(meet(X1,join(X2,X3)),meet(X1,X4)) = meet(X1,join(meet(X1,join(X2,X3)),meet(X4,join(X1,X2)))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['0.1761.0.1','0.20.2.0',theory(equality)]),
% 10.65/11.02 [pos('R.2.1','L')]).
% 10.65/11.02 cnf('0.1761.1.0',plain,
% 10.65/11.02 ( join(meet(X1,join(X2,X3)),meet(X1,X4)) = meet(X1,join(meet(X1,join(X2,X3)),meet(X4,join(X1,X2)))) ),
% 10.65/11.02 inference(weigh,[status(thm)],['0.1761.0.2']),
% 10.65/11.02 [weight('<13,155,127,[1,0,0,8]>')]).
% 10.65/11.02 cnf('0.1761.2.0',plain,
% 10.65/11.02 ( meet(X1,join(meet(X1,join(X2,X3)),meet(X4,join(X1,X2)))) = join(meet(X1,join(X2,X3)),meet(X1,X4)) ),
% 10.65/11.02 inference(orient,[status(thm)],['0.1761.1.0',theory(equality)]),
% 10.65/11.02 [x,rule_1746]).
% 10.65/11.02 cnf('1.0.0.0',conjecture,
% 10.65/11.02 ( meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 file('/tmp/WALDMEISTER_25052_n007',conjecture_1)).
% 10.65/11.02 cnf('1.0.0.1',plain,
% 10.65/11.02 ( join(meet(a,join(b,meet(a,c))),meet(a,c)) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.0','0.1761.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('1.0.0.2',plain,
% 10.65/11.02 ( join(meet(a,c),meet(join(b,meet(a,c)),a)) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.1','0.693.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('1.0.0.3',plain,
% 10.65/11.02 ( join(meet(c,a),meet(join(b,meet(a,c)),a)) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.1','L')]).
% 10.65/11.02 cnf('1.0.0.4',plain,
% 10.65/11.02 ( join(meet(c,a),meet(a,join(b,meet(a,c)))) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.3','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2','L')]).
% 10.65/11.02 cnf('1.0.0.5',plain,
% 10.65/11.02 ( meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.4','0.396.2.0',theory(equality)]),
% 10.65/11.02 [pos('L','L')]).
% 10.65/11.02 cnf('1.0.0.6',plain,
% 10.65/11.02 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.5','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('L.2.2','L')]).
% 10.65/11.02 cnf('1.0.0.7',plain,
% 10.65/11.02 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a))) ),
% 10.65/11.02 inference(reduction,[status(thm)],['1.0.0.6','0.5.2.0',theory(equality)]),
% 10.65/11.02 [pos('R.2.2','L')]).
% 10.65/11.02 cnf('1.0.0.8',plain,
% 10.65/11.02 ( $true ),
% 10.65/11.02 inference(trivial,[status(thm)],['1.0.0.7',theory(equality)]),
% 10.65/11.02 [conjecture_1]).
% 10.65/11.02
% 10.65/11.02 Proved Goals:
% 10.65/11.02 No. 1: meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?= meet(a,join(b,meet(a,c))) joined, current: meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a)))
% 10.65/11.02 1 goal was specified, which was proved.
% 10.65/11.02 % SZS output end CNFRefutation
% 10.65/11.02 #END OF PROOF
% 10.65/11.02
% 10.65/11.02 Problem WALDMEISTER_25052_n007
% 10.65/11.02 CPs.gen 2889943
% 10.65/11.02 CPs.reexp 0
% 10.65/11.02 Select 70666
% 10.65/11.02 R 1746
% 10.65/11.02 E 15
% 10.65/11.02 vsize 9.4M
% 10.65/11.02 rss 4.9M
% 10.65/11.02 process.time 10.051s
% 10.65/11.02 wallclock.time 10.050s
% 10.65/11.02 status S
% 10.65/11.02
% 10.65/11.02
% 10.65/11.02 Waldmeister states: Goal proved.
% 10.65/11.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------