TSTP Solution File: LAT167-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT167-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:15:29 EDT 2022
% Result : Unsatisfiable 106.60s 106.96s
% Output : CNFRefutation 106.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT167-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n004.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 22:27:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.96 ********************************************************************************
% 0.58/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.96 * |/ | \/ | *
% 0.58/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.96 * A. Jaeger and B. Loechner | | *
% 0.58/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.96 ********************************************************************************
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 Goals:
% 0.58/0.96 ------
% 0.58/0.96
% 0.58/0.96 ( 1) meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) ?=? meet(a,join(b,meet(c,join(b,d))))
% 0.58/0.96
% 0.58/0.96 Detected structure: Verband
% 0.58/0.96 ********************************************************************************
% 0.58/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.96 ********************************************************************************
% 0.58/0.96
% 106.60/106.96 joined goal: 1 meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) ?= meet(a,join(b,meet(c,join(b,d)))) to meet(a,join(b,meet(c,join(b,d))))
% 106.60/106.96 goal joined
% 106.60/106.96 % SZS status Unsatisfiable
% 106.60/106.96 #START OF PROOF
% 106.60/106.96 % SZS output start CNFRefutation
% 106.60/106.96 cnf('0.1.0.0',axiom,
% 106.60/106.96 ( X1 = meet(X1,X1) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.1.1.0',plain,
% 106.60/106.96 ( X1 = meet(X1,X1) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 106.60/106.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 106.60/106.96 cnf('0.1.2.0',plain,
% 106.60/106.96 ( meet(X1,X1) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_1]).
% 106.60/106.96 cnf('0.2.0.0',axiom,
% 106.60/106.96 ( X1 = meet(X1,join(X1,X2)) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.2.1.0',plain,
% 106.60/106.96 ( X1 = meet(X1,join(X1,X2)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 106.60/106.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.2.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X1,X2)) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_2]).
% 106.60/106.96 cnf('0.3.0.0',axiom,
% 106.60/106.96 ( X1 = join(X1,X1) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.3.1.0',plain,
% 106.60/106.96 ( X1 = join(X1,X1) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 106.60/106.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 106.60/106.96 cnf('0.3.2.0',plain,
% 106.60/106.96 ( join(X1,X1) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_3]).
% 106.60/106.96 cnf('0.4.0.0',axiom,
% 106.60/106.96 ( X1 = join(X1,meet(X1,X2)) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.4.1.0',plain,
% 106.60/106.96 ( X1 = join(X1,meet(X1,X2)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 106.60/106.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 106.60/106.96 cnf('0.4.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X1,X2)) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_4]).
% 106.60/106.96 cnf('0.5.0.0',axiom,
% 106.60/106.96 ( meet(X1,X2) = meet(X2,X1) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.5.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X2,X1) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 106.60/106.96 [weight('<4,0,0,[0,0,0,5]>')]).
% 106.60/106.96 cnf('0.5.2.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X2,X1) ),
% 106.60/106.96 inference(activate,[status(thm)],['0.5.1.0']),
% 106.60/106.96 [equation_1]).
% 106.60/106.96 cnf('0.6.0.0',axiom,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.6.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 106.60/106.96 [weight('<5,0,0,[0,0,0,6]>')]).
% 106.60/106.96 cnf('0.6.2.0',plain,
% 106.60/106.96 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_5]).
% 106.60/106.96 cnf('0.7.0.0',axiom,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X4)))))) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.7.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X4)))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 106.60/106.96 [weight('<6,0,0,[0,0,0,7]>')]).
% 106.60/106.96 cnf('0.7.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X4)))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_6]).
% 106.60/106.96 cnf('0.8.0.0',axiom,
% 106.60/106.96 ( join(X1,X2) = join(X2,X1) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.8.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X2,X1) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.8.0.0']),
% 106.60/106.96 [weight('<7,0,0,[0,0,0,8]>')]).
% 106.60/106.96 cnf('0.8.2.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X2,X1) ),
% 106.60/106.96 inference(activate,[status(thm)],['0.8.1.0']),
% 106.60/106.96 [equation_2]).
% 106.60/106.96 cnf('0.9.0.0',axiom,
% 106.60/106.96 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004')).
% 106.60/106.96 cnf('0.9.1.0',plain,
% 106.60/106.96 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.9.0.0']),
% 106.60/106.96 [weight('<8,0,0,[0,0,0,9]>')]).
% 106.60/106.96 cnf('0.9.2.0',plain,
% 106.60/106.96 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_7]).
% 106.60/106.96 cnf('0.10.0.0',plain,
% 106.60/106.96 ( X1 = join(X1,meet(X2,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.10.1.0',plain,
% 106.60/106.96 ( X1 = join(X1,meet(X2,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.10.0.0']),
% 106.60/106.96 [weight('<5,5,4,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.10.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X1)) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_8]).
% 106.60/106.96 cnf('0.11.0.0',plain,
% 106.60/106.96 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.11.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.11.0.0']),
% 106.60/106.96 [weight('<5,6,1,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.11.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_9]).
% 106.60/106.96 cnf('0.12.0.0',plain,
% 106.60/106.96 ( X1 = meet(X1,join(X2,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.12.1.0',plain,
% 106.60/106.96 ( X1 = meet(X1,join(X2,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.12.0.0']),
% 106.60/106.96 [weight('<5,8,2,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.12.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,X1)) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_10]).
% 106.60/106.96 cnf('0.14.0.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.14.0.1',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.14.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.14.0.1']),
% 106.60/106.96 [weight('<5,10,2,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.14.2.0',plain,
% 106.60/106.96 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_12]).
% 106.60/106.96 cnf('0.15.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.15.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.15.0.0']),
% 106.60/106.96 [weight('<5,11,5,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.15.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_13]).
% 106.60/106.96 cnf('0.16.0.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.16.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.16.0.0']),
% 106.60/106.96 [weight('<7,6,2,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.16.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_14]).
% 106.60/106.96 cnf('0.17.0.0',plain,
% 106.60/106.96 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.17.1.0',plain,
% 106.60/106.96 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.17.0.0']),
% 106.60/106.96 [weight('<7,9,4,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.17.2.0',plain,
% 106.60/106.96 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_15]).
% 106.60/106.96 cnf('0.18.0.0',plain,
% 106.60/106.96 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.18.1.0',plain,
% 106.60/106.96 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.18.0.0']),
% 106.60/106.96 [weight('<7,10,6,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.18.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_16]).
% 106.60/106.96 cnf('0.19.0.0',plain,
% 106.60/106.96 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.19.1.0',plain,
% 106.60/106.96 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.19.0.0']),
% 106.60/106.96 [weight('<7,10,9,[0,0,0,1]>')]).
% 106.60/106.96 cnf('0.19.2.0',plain,
% 106.60/106.96 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_17]).
% 106.60/106.96 cnf('0.20.0.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.20.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.20.0.0']),
% 106.60/106.96 [weight('<7,12,6,[0,0,0,1]>')]).
% 106.60/106.96 cnf('0.20.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_18]).
% 106.60/106.96 cnf('0.21.0.0',plain,
% 106.60/106.96 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.21.1.0',plain,
% 106.60/106.96 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.21.0.0']),
% 106.60/106.96 [weight('<7,12,9,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.21.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 106.60/106.96 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_19]).
% 106.60/106.96 cnf('0.22.0.0',plain,
% 106.60/106.96 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.22.0.1',plain,
% 106.60/106.96 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.22.0.2',plain,
% 106.60/106.96 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.22.1.0',plain,
% 106.60/106.96 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.22.0.2']),
% 106.60/106.96 [weight('<7,14,9,[0,0,0,1]>')]).
% 106.60/106.96 cnf('0.22.2.0',plain,
% 106.60/106.96 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_20]).
% 106.60/106.96 cnf('0.25.0.0',plain,
% 106.60/106.96 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.25.0.1',plain,
% 106.60/106.96 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.25.0.2',plain,
% 106.60/106.96 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.25.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.25.0.2']),
% 106.60/106.96 [weight('<7,15,6,[0,0,0,1]>')]).
% 106.60/106.96 cnf('0.25.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_23]).
% 106.60/106.96 cnf('0.26.0.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.15.2.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.26.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.26.0.0']),
% 106.60/106.96 [weight('<7,15,6,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.26.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_24]).
% 106.60/106.96 cnf('0.28.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.28.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.28.0.0']),
% 106.60/106.96 [weight('<7,16,5,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.28.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_26]).
% 106.60/106.96 cnf('0.30.0.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.30.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.30.0.0']),
% 106.60/106.96 [weight('<7,17,8,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.30.2.0',plain,
% 106.60/106.96 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_28]).
% 106.60/106.96 cnf('0.32.0.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(join(X1,X2),meet(X3,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.32.0.1',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.32.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.32.0.1']),
% 106.60/106.96 [weight('<7,18,2,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.32.2.0',plain,
% 106.60/106.96 ( join(X1,join(X2,meet(X3,X1))) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_30]).
% 106.60/106.96 cnf('0.35.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.4.2.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.35.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.35.0.0']),
% 106.60/106.96 [weight('<9,6,4,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.35.2.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_33]).
% 106.60/106.96 cnf('0.37.0.0',plain,
% 106.60/106.96 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.37.1.0',plain,
% 106.60/106.96 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.37.0.0']),
% 106.60/106.96 [weight('<9,9,4,[1,0,0,0]>')]).
% 106.60/106.96 cnf('0.37.2.0',plain,
% 106.60/106.96 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_35]).
% 106.60/106.96 cnf('0.38.0.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.38.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.38.0.0']),
% 106.60/106.96 [weight('<9,10,9,[1,0,0,0]>')]).
% 106.60/106.96 cnf('0.38.2.0',plain,
% 106.60/106.96 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_36]).
% 106.60/106.96 cnf('0.39.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.39.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.39.0.0']),
% 106.60/106.96 [weight('<9,12,6,[1,0,0,0]>')]).
% 106.60/106.96 cnf('0.39.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_37]).
% 106.60/106.96 cnf('0.45.0.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.45.1.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.45.0.0']),
% 106.60/106.96 [weight('<9,17,12,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.45.1.1',plain,
% 106.60/106.96 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.45.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.45.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_43]).
% 106.60/106.96 cnf('0.54.0.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.54.1.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.54.0.0']),
% 106.60/106.96 [weight('<9,19,12,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.54.1.1',plain,
% 106.60/106.96 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.54.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_52]).
% 106.60/106.96 cnf('0.58.0.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.58.1.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.58.0.0']),
% 106.60/106.96 [weight('<9,20,10,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.58.1.1',plain,
% 106.60/106.96 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.58.1.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.58.2.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_56]).
% 106.60/106.96 cnf('0.68.0.0',plain,
% 106.60/106.96 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.68.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.68.0.0']),
% 106.60/106.96 [weight('<9,22,21,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.68.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_66]).
% 106.60/106.96 cnf('0.75.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.75.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.75.0.0']),
% 106.60/106.96 [weight('<9,25,18,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.75.2.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_73]).
% 106.60/106.96 cnf('0.95.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.95.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.95.0.0']),
% 106.60/106.96 [weight('<9,39,5,[1,0,0,6]>')]).
% 106.60/106.96 cnf('0.95.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_93]).
% 106.60/106.96 cnf('0.106.0.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.45.2.0','0.4.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.106.1.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.106.0.0']),
% 106.60/106.96 [weight('<9,45,4,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.106.2.0',plain,
% 106.60/106.96 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_104]).
% 106.60/106.96 cnf('0.113.0.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.54.2.0','0.4.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.113.1.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.113.0.0']),
% 106.60/106.96 [weight('<9,54,4,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.113.2.0',plain,
% 106.60/106.96 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_109]).
% 106.60/106.96 cnf('0.115.0.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.54.2.0','0.10.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.115.1.0',plain,
% 106.60/106.96 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.115.0.0']),
% 106.60/106.96 [weight('<9,54,10,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.115.2.0',plain,
% 106.60/106.96 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_111]).
% 106.60/106.96 cnf('0.116.0.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.58.2.0','0.2.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.116.1.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.116.0.0']),
% 106.60/106.96 [weight('<9,58,2,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.116.2.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_112]).
% 106.60/106.96 cnf('0.121.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.68.2.0','0.10.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.121.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.121.0.0']),
% 106.60/106.96 [weight('<9,68,10,[1,0,0,6]>')]).
% 106.60/106.96 cnf('0.121.1.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = meet(join(X1,X3),join(X1,meet(X2,X3))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.121.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.121.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X3,X2)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.121.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_117]).
% 106.60/106.96 cnf('0.128.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.95.2.0','0.106.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.128.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.128.0.0']),
% 106.60/106.96 [weight('<9,106,95,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.128.2.0',plain,
% 106.60/106.96 ( meet(X1,join(meet(X2,X3),meet(X2,X1))) = meet(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_123]).
% 106.60/106.96 cnf('0.133.0.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X2,X1))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.95.2.0','0.113.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.133.1.0',plain,
% 106.60/106.96 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X2,X1))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.133.0.0']),
% 106.60/106.96 [weight('<9,113,95,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.133.2.0',plain,
% 106.60/106.96 ( meet(X1,join(meet(X2,X3),meet(X3,X1))) = meet(X1,X3) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_127]).
% 106.60/106.96 cnf('0.136.0.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.37.2.0','0.116.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.136.1.0',plain,
% 106.60/106.96 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.136.0.0']),
% 106.60/106.96 [weight('<9,116,37,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.136.2.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.136.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_130]).
% 106.60/106.96 cnf('0.150.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X2)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.136.2.0','0.128.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.150.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X2)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.150.0.0']),
% 106.60/106.96 [weight('<9,136,128,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.150.1.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,meet(X2,X3)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.150.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.150.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.150.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_144]).
% 106.60/106.96 cnf('0.151.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.136.2.0','0.133.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.151.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.151.0.0']),
% 106.60/106.96 [weight('<9,136,133,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.151.1.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,X3)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.151.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.151.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.151.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_145]).
% 106.60/106.96 cnf('0.152.0.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.152.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.152.0.0']),
% 106.60/106.96 [weight('<10,6,5,[1,0,0,0]>')]).
% 106.60/106.96 cnf('0.152.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 106.60/106.96 inference(activate,[status(thm)],['0.152.1.0']),
% 106.60/106.96 [equation_7]).
% 106.60/106.96 cnf('0.153.0.0',plain,
% 106.60/106.96 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(X4,meet(X2,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.152.2.0','0.28.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.153.0.1',plain,
% 106.60/106.96 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.153.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.153.1.0',plain,
% 106.60/106.96 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.153.0.1']),
% 106.60/106.96 [weight('<9,152,28,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.153.1.1',plain,
% 106.60/106.96 ( meet(X1,meet(X2,meet(join(X2,X3),X4))) = meet(X4,meet(X2,X1)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.153.1.0','0.152.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.153.1.2',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X4)) = meet(X4,meet(X2,X1)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.153.1.1','0.16.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.153.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 106.60/106.96 inference(activate,[status(thm)],['0.153.1.2']),
% 106.60/106.96 [equation_8]).
% 106.60/106.96 cnf('0.154.0.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X1))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2.2.2','L')]).
% 106.60/106.96 cnf('0.154.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X1))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.154.0.0']),
% 106.60/106.96 [weight('<11,7,3,[1,0,0,10]>')]).
% 106.60/106.96 cnf('0.154.1.1',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.154.1.0','0.10.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2.2.2','L')]).
% 106.60/106.96 cnf('0.154.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.154.1.1',theory(equality)]),
% 106.60/106.96 [u,rule_146]).
% 106.60/106.96 cnf('0.155.0.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.154.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.155.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.155.0.0']),
% 106.60/106.96 [weight('<9,154,5,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.155.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(join(X2,X1),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_147]).
% 106.60/106.96 cnf('0.156.0.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.154.2.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.156.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.156.0.0']),
% 106.60/106.96 [weight('<9,154,8,[1,0,0,6]>')]).
% 106.60/106.96 cnf('0.156.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_148]).
% 106.60/106.96 cnf('0.157.0.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.155.2.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.1','L')]).
% 106.60/106.96 cnf('0.157.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.157.0.0']),
% 106.60/106.96 [weight('<9,155,8,[1,0,0,5]>')]).
% 106.60/106.96 cnf('0.157.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(join(X1,X2),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_149]).
% 106.60/106.96 cnf('0.200.0.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.12.2.0','0.37.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.200.1.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.200.0.0']),
% 106.60/106.96 [weight('<11,37,12,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.200.1.1',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X2,X1),join(X1,meet(join(X2,X1),X3))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.200.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.200.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X2,meet(join(X1,X2),X3))) = join(X2,meet(join(X1,X2),X3)) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.200.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_192]).
% 106.60/106.96 cnf('0.204.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,X1))) = meet(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.12.2.0','0.38.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.204.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,X1))) = meet(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.204.0.0']),
% 106.60/106.96 [weight('<11,38,12,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.204.1.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,X1))) = meet(join(X3,X1),join(X1,meet(X2,join(X3,X1)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.204.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.204.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X2,meet(X3,join(X1,X2)))) = join(X2,meet(X3,join(X1,X2))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.204.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_196]).
% 106.60/106.96 cnf('0.295.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,meet(X2,join(X1,X3))),join(X1,X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.68.2.0','0.38.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.295.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,meet(X2,join(X1,X3))),join(X1,X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.295.0.0']),
% 106.60/106.96 [weight('<11,68,38,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.295.1.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X3),join(X1,meet(X2,join(X1,X3)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.295.1.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.295.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) = join(X1,meet(X3,join(X1,X2))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.295.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_287]).
% 106.60/106.96 cnf('0.433.0.0',plain,
% 106.60/106.96 ( meet(join(meet(X1,X2),meet(X3,X2)),meet(X4,X2)) = meet(join(meet(X1,X2),meet(X3,X2)),meet(X4,join(meet(X1,X2),meet(X3,X2)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.26.2.0','0.115.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.433.0.1',plain,
% 106.60/106.96 ( meet(join(meet(X1,X2),meet(X3,X2)),meet(X4,X2)) = meet(join(meet(X1,X2),meet(X3,X2)),X4) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.433.0.0','0.15.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.433.1.0',plain,
% 106.60/106.96 ( meet(join(meet(X1,X2),meet(X3,X2)),meet(X4,X2)) = meet(join(meet(X1,X2),meet(X3,X2)),X4) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.433.0.1']),
% 106.60/106.96 [weight('<11,115,26,[0,0,0,4]>')]).
% 106.60/106.96 cnf('0.433.1.1',plain,
% 106.60/106.96 ( meet(X2,meet(X4,join(meet(X1,X2),meet(X3,X2)))) = meet(join(meet(X1,X2),meet(X3,X2)),X4) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.433.1.0','0.153.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.433.2.0',plain,
% 106.60/106.96 ( meet(X1,meet(X2,join(meet(X3,X1),meet(X4,X1)))) = meet(join(meet(X3,X1),meet(X4,X1)),X2) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.433.1.1',theory(equality)]),
% 106.60/106.96 [u,rule_425]).
% 106.60/106.96 cnf('0.580.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X2,X3))))) = join(X1,meet(X2,join(X1,meet(X2,join(X1,X3))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.150.2.0','0.7.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.580.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X2,X3))))) = join(X1,meet(X2,join(X1,X3))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.580.0.0','0.150.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.580.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X2,X3))))) = join(X1,meet(X2,join(X1,X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.580.0.1']),
% 106.60/106.96 [weight('<11,150,7,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.580.1.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,X2)))) = join(X1,meet(X2,join(X1,X3))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.580.1.0','0.156.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.580.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,X2)))) = join(X1,meet(X2,join(X1,X3))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.580.1.1',theory(equality)]),
% 106.60/106.96 [u,rule_572]).
% 106.60/106.96 cnf('0.762.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,join(X3,X4)))) = join(X1,meet(X2,join(X3,join(X4,meet(X1,X2))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.580.2.0','0.9.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.762.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X1,join(X3,X4)))) = join(X1,meet(X2,join(X3,join(X4,meet(X1,X2))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.762.0.0']),
% 106.60/106.96 [weight('<11,580,9,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.762.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,join(X4,meet(X1,X2))))) = join(X1,meet(X2,join(X1,join(X3,X4)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.762.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_754]).
% 106.60/106.96 cnf('0.764.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(meet(X4,X1),X2)))) = join(X1,join(meet(X4,X1),meet(X2,join(meet(X4,X1),X3)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.19.2.0','0.580.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.764.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,join(meet(X4,X1),meet(X2,join(meet(X4,X1),X3)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.764.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.764.0.2',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.764.0.1','0.19.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.764.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.764.0.2']),
% 106.60/106.96 [weight('<11,580,19,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.764.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.764.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_756]).
% 106.60/106.96 cnf('0.796.0.0',plain,
% 106.60/106.96 ( join(X1,meet(meet(X2,X3),join(X1,join(X4,meet(X1,X2))))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X2)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.762.2.0','0.35.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.796.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,join(X4,meet(X1,X2)))))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X2)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.796.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.796.0.2',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X2)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.796.0.1','0.30.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.796.0.3',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(X2,meet(X3,join(X4,meet(X1,X2))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.796.0.2','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.796.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(X2,meet(X3,join(X4,meet(X1,X2))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.796.0.3']),
% 106.60/106.96 [weight('<11,762,35,[1,0,0,6]>')]).
% 106.60/106.96 cnf('0.796.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X4,meet(X1,X2))))) = join(X1,meet(X2,meet(X3,join(X1,X4)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.796.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_788]).
% 106.60/106.96 cnf('0.797.0.0',plain,
% 106.60/106.96 ( join(X1,meet(meet(X2,X3),join(X1,join(X4,meet(X1,X3))))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X3)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.762.2.0','0.75.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.797.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,join(X4,meet(X1,X3)))))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X3)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.797.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.797.0.2',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X3)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.797.0.1','0.30.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.797.0.3',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.797.0.2','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.797.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.797.0.3']),
% 106.60/106.96 [weight('<11,762,75,[1,0,0,6]>')]).
% 106.60/106.96 cnf('0.797.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = join(X1,meet(X2,meet(X3,join(X1,X4)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.797.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_789]).
% 106.60/106.96 cnf('0.821.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,meet(X4,X2))))) = join(X1,meet(join(meet(X4,X2),meet(X1,X2)),X3)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.796.2.0','0.433.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.821.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(X3,join(X1,meet(X4,X2))))) = join(X1,meet(join(meet(X4,X2),meet(X1,X2)),X3)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.821.0.0']),
% 106.60/106.96 [weight('<11,796,433,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.821.2.0',plain,
% 106.60/106.96 ( join(X1,meet(join(meet(X2,X3),meet(X1,X3)),X4)) = join(X1,meet(X3,meet(X4,join(X1,meet(X2,X3))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.821.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_813]).
% 106.60/106.96 cnf('0.823.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X1,X4)))) = join(X1,meet(X2,join(X4,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.797.2.0','0.204.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.823.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X1,X4)))) = join(X1,meet(X2,join(X4,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.823.0.0']),
% 106.60/106.96 [weight('<11,797,204,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.823.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X1,X4)))) = join(X1,meet(X2,join(X4,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.823.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_815]).
% 106.60/106.96 cnf('0.824.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X1,X3)))) = join(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.797.2.0','0.295.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.824.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X1,X3)))) = join(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.824.0.0']),
% 106.60/106.96 [weight('<11,797,295,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.824.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X1,X3)))) = join(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.824.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_816]).
% 106.60/106.96 cnf('0.855.0.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X3),meet(X4,join(X1,meet(X3,join(X2,X3)))))) = join(X1,meet(join(X3,meet(X1,join(X2,X3))),X4)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.821.2.0','0.12.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.1.1','L')]).
% 106.60/106.96 cnf('0.855.0.1',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X3),meet(X4,join(X1,X3)))) = join(X1,meet(join(X3,meet(X1,join(X2,X3))),X4)) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.855.0.0','0.12.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2.2','L')]).
% 106.60/106.96 cnf('0.855.1.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,X3),meet(X4,join(X1,X3)))) = join(X1,meet(join(X3,meet(X1,join(X2,X3))),X4)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.855.0.1']),
% 106.60/106.96 [weight('<11,821,12,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.855.2.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,meet(X1,join(X3,X2))),X4)) = join(X1,meet(join(X3,X2),meet(X4,join(X1,X2)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.855.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_847]).
% 106.60/106.96 cnf('0.858.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X4,X3))))) = join(X1,meet(X2,meet(join(X4,X3),join(X3,X1)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.823.2.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.858.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X4,X3))))) = join(X1,meet(X2,meet(join(X4,X3),join(X3,X1)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.858.0.0']),
% 106.60/106.96 [weight('<11,823,8,[1,0,0,8]>')]).
% 106.60/106.96 cnf('0.858.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X4,X1)))) = join(X1,meet(X2,join(X4,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.858.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_850]).
% 106.60/106.96 cnf('0.859.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = join(X1,meet(X2,meet(join(X1,X3),join(X3,X4)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.824.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.859.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = join(X1,meet(X2,meet(join(X1,X3),join(X3,X4)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.859.0.0']),
% 106.60/106.96 [weight('<11,824,5,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.859.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X1,X3),join(X3,X4)))) = join(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.859.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_851]).
% 106.60/106.96 cnf('0.877.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X3,meet(join(X1,X3),X4)))))) = join(X1,meet(X2,join(X3,meet(join(X1,X3),X4)))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.859.2.0','0.200.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.877.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X3,meet(X4,X1)))))) = join(X1,meet(X2,join(X3,meet(join(X1,X3),X4)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.877.0.0','0.157.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.877.0.2',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = join(X1,meet(X2,join(X3,meet(join(X1,X3),X4)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.877.0.1','0.151.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.877.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = join(X1,meet(X2,join(X3,meet(join(X1,X3),X4)))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.877.0.2']),
% 106.60/106.96 [weight('<11,859,200,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.877.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(join(X1,X3),X4)))) = join(X1,meet(X2,join(X3,meet(X4,X1)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.877.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_869]).
% 106.60/106.96 cnf('0.878.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X3,meet(X4,join(X1,X3))))))) = join(X1,meet(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.859.2.0','0.204.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.878.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X1,join(X3,meet(X4,X1)))))) = join(X1,meet(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.878.0.0','0.156.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.878.0.2',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = join(X1,meet(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.878.0.1','0.151.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.878.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = join(X1,meet(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.878.0.2']),
% 106.60/106.96 [weight('<11,859,204,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.878.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,join(X1,X3))))) = join(X1,meet(X2,join(X3,meet(X4,X1)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.878.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_870]).
% 106.60/106.96 cnf('0.882.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = join(X1,meet(join(X3,meet(X4,join(X1,X3))),X2)) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.878.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.882.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = join(X1,meet(join(X3,meet(X4,join(X1,X3))),X2)) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.882.0.0']),
% 106.60/106.96 [weight('<11,878,5,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.882.2.0',plain,
% 106.60/106.96 ( join(X1,meet(join(X2,meet(X3,join(X1,X2))),X4)) = join(X1,meet(X4,join(X2,meet(X3,X1)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.882.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_874]).
% 106.60/106.96 cnf('0.886.0.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(join(X4,meet(X2,join(X1,X4))),X3))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2','L')]).
% 106.60/106.96 cnf('0.886.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(join(X4,meet(X2,join(X1,X4))),X3))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.886.0.0']),
% 106.60/106.96 [weight('<13,7,5,[1,0,0,4]>')]).
% 106.60/106.96 cnf('0.886.1.1',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(join(X1,X4),meet(X3,join(X2,X4))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.886.1.0','0.855.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.886.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(join(X1,X3),meet(X4,join(X2,X3))))) = meet(X1,join(X2,meet(X4,join(X2,X3)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.886.1.1',theory(equality)]),
% 106.60/106.96 [x,rule_878]).
% 106.60/106.96 cnf('0.1473.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = meet(join(X1,X3),join(X1,meet(X2,join(X3,meet(X4,X1))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.121.2.0','0.32.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.1','L')]).
% 106.60/106.96 cnf('0.1473.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,X1)))) = meet(join(X1,X3),join(X1,meet(X2,join(X3,meet(X4,X1))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.1473.0.0']),
% 106.60/106.96 [weight('<13,121,32,[1,0,0,1]>')]).
% 106.60/106.96 cnf('0.1473.2.0',plain,
% 106.60/106.96 ( meet(join(X1,X2),join(X1,meet(X3,join(X2,meet(X4,X1))))) = join(X1,meet(X3,join(X2,meet(X4,X1)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.1473.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_1465]).
% 106.60/106.96 cnf('0.4385.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X4,meet(X5,X1))))) = join(X1,join(meet(X5,X1),meet(X2,join(X4,meet(meet(X5,X1),join(X3,X4)))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.19.2.0','0.858.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.4385.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X4,meet(X5,X1))))) = join(X1,meet(X2,join(X4,meet(meet(X5,X1),join(X3,X4))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4385.0.0','0.19.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.4385.0.2',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X4,meet(X5,X1))))) = join(X1,meet(X2,join(X4,meet(X5,meet(X1,join(X3,X4)))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4385.0.1','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2.2.2','L')]).
% 106.60/106.96 cnf('0.4385.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X4,meet(X5,X1))))) = join(X1,meet(X2,join(X4,meet(X5,meet(X1,join(X3,X4)))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.4385.0.2']),
% 106.60/106.96 [weight('<13,858,19,[0,0,0,2]>')]).
% 106.60/106.96 cnf('0.4385.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,meet(join(X3,X4),join(X4,meet(X5,X1))))) = join(X1,meet(X2,join(X4,meet(X5,meet(X1,join(X3,X4)))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.4385.1.0',theory(equality)]),
% 106.60/106.96 [u,rule_4363]).
% 106.60/106.96 cnf('0.4481.0.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(meet(X4,X5),X1)))) = join(X1,meet(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.877.2.0','0.152.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','R')]).
% 106.60/106.96 cnf('0.4481.0.1',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X5,X1))))) = join(X1,meet(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4481.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('0.4481.1.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X5,X1))))) = join(X1,meet(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.4481.0.1']),
% 106.60/106.96 [weight('<13,877,152,[1,0,1,6]>')]).
% 106.60/106.96 cnf('0.4481.2.0',plain,
% 106.60/106.96 ( join(X1,meet(X2,join(X3,meet(X4,meet(X5,join(X1,X3)))))) = join(X1,meet(X2,join(X3,meet(X4,meet(X5,X1))))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.4481.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_4457]).
% 106.60/106.96 cnf('0.4527.0.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(join(X4,X1),meet(X3,join(X2,X4))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.886.2.0','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.1','L')]).
% 106.60/106.96 cnf('0.4527.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(join(X4,X1),meet(X3,join(X2,X4))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.4527.0.0']),
% 106.60/106.96 [weight('<13,886,8,[1,0,0,5]>')]).
% 106.60/106.96 cnf('0.4527.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(join(X3,X1),meet(X4,join(X2,X3))))) = meet(X1,join(X2,meet(X4,join(X2,X3)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.4527.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_4503]).
% 106.60/106.96 cnf('0.4528.0.0',plain,
% 106.60/106.96 ( meet(meet(X1,join(X2,X3)),join(X2,meet(X4,join(X2,X3)))) = meet(meet(X1,join(X2,X3)),join(X2,meet(meet(X4,join(X2,X3)),join(X3,meet(X1,X2))))) ),
% 106.60/106.96 inference(cp,[status(thm)],['0.4527.2.0','0.882.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.4528.0.1',plain,
% 106.60/106.96 ( meet(X1,meet(join(X2,X3),join(X2,meet(X4,join(X2,X3))))) = meet(meet(X1,join(X2,X3)),join(X2,meet(meet(X4,join(X2,X3)),join(X3,meet(X1,X2))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.0','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('0.4528.0.2',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(meet(X1,join(X2,X3)),join(X2,meet(meet(X4,join(X2,X3)),join(X3,meet(X1,X2))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.1','0.295.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('0.4528.0.3',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,meet(join(X2,X3),join(X2,meet(meet(X4,join(X2,X3)),join(X3,meet(X1,X2)))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.2','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('R','L')]).
% 106.60/106.96 cnf('0.4528.0.4',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(meet(X4,join(X2,X3)),join(X3,meet(X1,X2))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.3','0.1473.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.4528.0.5',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(X4,meet(join(X2,X3),join(X3,meet(X1,X2)))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.4','0.6.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2.2','L')]).
% 106.60/106.96 cnf('0.4528.0.6',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(X4,join(X3,meet(X1,meet(X2,join(X2,X3))))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.5','0.4385.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.4528.0.7',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(X4,join(X3,meet(X1,meet(X2,X2)))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.6','0.4481.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2','L')]).
% 106.60/106.96 cnf('0.4528.0.8',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(X4,join(X3,meet(X1,X2))))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['0.4528.0.7','0.1.2.0',theory(equality)]),
% 106.60/106.96 [pos('R.2.2.2.2.2','L')]).
% 106.60/106.96 cnf('0.4528.1.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(X4,join(X3,meet(X1,X2))))) ),
% 106.60/106.96 inference(weigh,[status(thm)],['0.4528.0.8']),
% 106.60/106.96 [weight('<11,4527,882,[1,0,0,2]>')]).
% 106.60/106.96 cnf('0.4528.2.0',plain,
% 106.60/106.96 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 106.60/106.96 inference(orient,[status(thm)],['0.4528.1.0',theory(equality)]),
% 106.60/106.96 [x,rule_4504]).
% 106.60/106.96 cnf('1.0.0.0',conjecture,
% 106.60/106.96 ( meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 106.60/106.96 file('/tmp/WALDMEISTER_22057_n004',conjecture_1)).
% 106.60/106.96 cnf('1.0.0.1',plain,
% 106.60/106.96 ( meet(a,join(b,meet(c,join(meet(a,b),d)))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['1.0.0.0','0.764.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2','L')]).
% 106.60/106.96 cnf('1.0.0.2',plain,
% 106.60/106.96 ( meet(a,join(b,meet(c,join(d,meet(a,b))))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['1.0.0.1','0.8.2.0',theory(equality)]),
% 106.60/106.96 [pos('L.2.2.2','L')]).
% 106.60/106.96 cnf('1.0.0.3',plain,
% 106.60/106.96 ( meet(a,join(b,meet(c,join(b,d)))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 106.60/106.96 inference(reduction,[status(thm)],['1.0.0.2','0.4528.2.0',theory(equality)]),
% 106.60/106.96 [pos('L','L')]).
% 106.60/106.96 cnf('1.0.0.4',plain,
% 106.60/106.96 ( $true ),
% 106.60/106.96 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 106.60/106.96 [conjecture_1]).
% 106.60/106.96
% 106.60/106.96 Proved Goals:
% 106.60/106.96 No. 1: meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) ?= meet(a,join(b,meet(c,join(b,d)))) joined, current: meet(a,join(b,meet(c,join(b,d)))) = meet(a,join(b,meet(c,join(b,d))))
% 106.60/106.96 1 goal was specified, which was proved.
% 106.60/106.96 % SZS output end CNFRefutation
% 106.60/106.96 #END OF PROOF
% 106.60/106.96
% 106.60/106.96 Problem WALDMEISTER_22057_n004
% 106.60/106.96 CPs.gen 22325988
% 106.60/106.96 CPs.reexp 0
% 106.60/106.96 Select 299965
% 106.60/106.96 R 4504
% 106.60/106.96 E 24
% 106.60/106.96 vsize 12.1M
% 106.60/106.96 rss 7.6M
% 106.60/106.96 process.time 106.002s
% 106.60/106.96 wallclock.time 105.998s
% 106.60/106.96 status S
% 106.60/106.96
% 106.60/106.96
% 106.60/106.96 Waldmeister states: Goal proved.
% 106.60/106.96 % SZS status Unsatisfiable
%------------------------------------------------------------------------------