TSTP Solution File: LAT152-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT152-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 07:15:24 EDT 2022
% Result : Unsatisfiable 207.74s 208.13s
% Output : CNFRefutation 207.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT152-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 08:30:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/1.00 * |/ | \/ | *
% 0.60/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/1.00 * A. Jaeger and B. Loechner | | *
% 0.60/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 0.60/1.00
% 0.60/1.00 Goals:
% 0.60/1.00 ------
% 0.60/1.00
% 0.60/1.00 ( 1) meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ?=? meet(a,join(b,meet(a,c)))
% 0.60/1.00
% 0.60/1.00 Detected structure: Verband
% 0.60/1.00 ********************************************************************************
% 0.60/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.60/1.00 ********************************************************************************
% 0.60/1.00
% 207.74/208.13 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)))
% 207.74/208.13 goal joined
% 207.74/208.13 % SZS status Unsatisfiable
% 207.74/208.13 #START OF PROOF
% 207.74/208.13 % SZS output start CNFRefutation
% 207.74/208.13 cnf('0.1.0.0',axiom,
% 207.74/208.13 ( X1 = meet(X1,X1) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.1.1.0',plain,
% 207.74/208.13 ( X1 = meet(X1,X1) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.1.0.0']),
% 207.74/208.13 [weight('<0,0,0,[0,0,0,1]>')]).
% 207.74/208.13 cnf('0.1.2.0',plain,
% 207.74/208.13 ( meet(X1,X1) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_1]).
% 207.74/208.13 cnf('0.2.0.0',axiom,
% 207.74/208.13 ( X1 = meet(X1,join(X1,X2)) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.2.1.0',plain,
% 207.74/208.13 ( X1 = meet(X1,join(X1,X2)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.2.0.0']),
% 207.74/208.13 [weight('<1,0,0,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.2.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X1,X2)) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_2]).
% 207.74/208.13 cnf('0.3.0.0',axiom,
% 207.74/208.13 ( X1 = join(X1,X1) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.3.1.0',plain,
% 207.74/208.13 ( X1 = join(X1,X1) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.3.0.0']),
% 207.74/208.13 [weight('<2,0,0,[0,0,0,3]>')]).
% 207.74/208.13 cnf('0.3.2.0',plain,
% 207.74/208.13 ( join(X1,X1) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_3]).
% 207.74/208.13 cnf('0.4.0.0',axiom,
% 207.74/208.13 ( X1 = join(X1,meet(X1,X2)) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.4.1.0',plain,
% 207.74/208.13 ( X1 = join(X1,meet(X1,X2)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.4.0.0']),
% 207.74/208.13 [weight('<3,0,0,[0,0,0,4]>')]).
% 207.74/208.13 cnf('0.4.2.0',plain,
% 207.74/208.13 ( join(X1,meet(X1,X2)) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_4]).
% 207.74/208.13 cnf('0.5.0.0',axiom,
% 207.74/208.13 ( meet(X1,X2) = meet(X2,X1) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.5.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X2,X1) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.5.0.0']),
% 207.74/208.13 [weight('<4,0,0,[0,0,0,5]>')]).
% 207.74/208.13 cnf('0.5.2.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X2,X1) ),
% 207.74/208.13 inference(activate,[status(thm)],['0.5.1.0']),
% 207.74/208.13 [equation_1]).
% 207.74/208.13 cnf('0.6.0.0',axiom,
% 207.74/208.13 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.6.1.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.6.0.0']),
% 207.74/208.13 [weight('<5,0,0,[0,0,0,6]>')]).
% 207.74/208.13 cnf('0.6.2.0',plain,
% 207.74/208.13 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_5]).
% 207.74/208.13 cnf('0.7.0.0',axiom,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.7.1.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.7.0.0']),
% 207.74/208.13 [weight('<6,0,0,[0,0,0,7]>')]).
% 207.74/208.13 cnf('0.7.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_6]).
% 207.74/208.13 cnf('0.8.0.0',axiom,
% 207.74/208.13 ( join(X1,X2) = join(X2,X1) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.8.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X2,X1) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.8.0.0']),
% 207.74/208.13 [weight('<7,0,0,[0,0,0,8]>')]).
% 207.74/208.13 cnf('0.8.2.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X2,X1) ),
% 207.74/208.13 inference(activate,[status(thm)],['0.8.1.0']),
% 207.74/208.13 [equation_2]).
% 207.74/208.13 cnf('0.9.0.0',axiom,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 207.74/208.13 file('/tmp/WALDMEISTER_26140_n029')).
% 207.74/208.13 cnf('0.9.1.0',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.9.0.0']),
% 207.74/208.13 [weight('<8,0,0,[0,0,0,9]>')]).
% 207.74/208.13 cnf('0.9.2.0',plain,
% 207.74/208.13 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_7]).
% 207.74/208.13 cnf('0.10.0.0',plain,
% 207.74/208.13 ( X1 = join(X1,meet(X2,X1)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.10.1.0',plain,
% 207.74/208.13 ( X1 = join(X1,meet(X2,X1)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.10.0.0']),
% 207.74/208.13 [weight('<5,5,4,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.10.2.0',plain,
% 207.74/208.13 ( join(X1,meet(X2,X1)) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_8]).
% 207.74/208.13 cnf('0.11.0.0',plain,
% 207.74/208.13 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.11.1.0',plain,
% 207.74/208.13 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.11.0.0']),
% 207.74/208.13 [weight('<5,6,1,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.11.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_9]).
% 207.74/208.13 cnf('0.12.0.0',plain,
% 207.74/208.13 ( X1 = meet(X1,join(X2,X1)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.12.1.0',plain,
% 207.74/208.13 ( X1 = meet(X1,join(X2,X1)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.12.0.0']),
% 207.74/208.13 [weight('<5,8,2,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.12.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,X1)) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_10]).
% 207.74/208.13 cnf('0.13.0.0',plain,
% 207.74/208.13 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.13.1.0',plain,
% 207.74/208.13 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.13.0.0']),
% 207.74/208.13 [weight('<5,9,3,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.13.2.0',plain,
% 207.74/208.13 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_11]).
% 207.74/208.13 cnf('0.14.0.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.14.0.1',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.14.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.14.0.1']),
% 207.74/208.13 [weight('<5,10,2,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.14.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_12]).
% 207.74/208.13 cnf('0.15.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.15.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.15.0.0']),
% 207.74/208.13 [weight('<5,11,5,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.15.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_13]).
% 207.74/208.13 cnf('0.16.0.0',plain,
% 207.74/208.13 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.16.1.0',plain,
% 207.74/208.13 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.16.0.0']),
% 207.74/208.13 [weight('<7,6,2,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.16.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_14]).
% 207.74/208.13 cnf('0.17.0.0',plain,
% 207.74/208.13 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.17.1.0',plain,
% 207.74/208.13 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.17.0.0']),
% 207.74/208.13 [weight('<7,9,4,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.17.2.0',plain,
% 207.74/208.13 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_15]).
% 207.74/208.13 cnf('0.18.0.0',plain,
% 207.74/208.13 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.18.1.0',plain,
% 207.74/208.13 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.18.0.0']),
% 207.74/208.13 [weight('<7,10,6,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.18.2.0',plain,
% 207.74/208.13 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_16]).
% 207.74/208.13 cnf('0.19.0.0',plain,
% 207.74/208.13 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.19.1.0',plain,
% 207.74/208.13 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.19.0.0']),
% 207.74/208.13 [weight('<7,10,9,[0,0,0,1]>')]).
% 207.74/208.13 cnf('0.19.2.0',plain,
% 207.74/208.13 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_17]).
% 207.74/208.13 cnf('0.21.0.0',plain,
% 207.74/208.13 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.21.1.0',plain,
% 207.74/208.13 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.21.0.0']),
% 207.74/208.13 [weight('<7,12,9,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.21.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 207.74/208.13 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_19]).
% 207.74/208.13 cnf('0.22.0.0',plain,
% 207.74/208.13 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.22.0.1',plain,
% 207.74/208.13 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.22.0.2',plain,
% 207.74/208.13 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.22.1.0',plain,
% 207.74/208.13 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.22.0.2']),
% 207.74/208.13 [weight('<7,14,9,[0,0,0,1]>')]).
% 207.74/208.13 cnf('0.22.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_20]).
% 207.74/208.13 cnf('0.25.0.0',plain,
% 207.74/208.13 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.25.0.1',plain,
% 207.74/208.13 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.25.0.2',plain,
% 207.74/208.13 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.25.1.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.25.0.2']),
% 207.74/208.13 [weight('<7,15,6,[0,0,0,1]>')]).
% 207.74/208.13 cnf('0.25.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_23]).
% 207.74/208.13 cnf('0.28.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.28.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.28.0.0']),
% 207.74/208.13 [weight('<7,16,5,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.28.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_26]).
% 207.74/208.13 cnf('0.30.0.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.30.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.30.0.0']),
% 207.74/208.13 [weight('<7,17,8,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.30.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_28]).
% 207.74/208.13 cnf('0.34.0.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 207.74/208.13 [pos('L','L')]).
% 207.74/208.13 cnf('0.34.1.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.34.0.0']),
% 207.74/208.13 [weight('<9,6,2,[1,0,0,0]>')]).
% 207.74/208.13 cnf('0.34.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_32]).
% 207.74/208.13 cnf('0.38.0.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('L','L')]).
% 207.74/208.13 cnf('0.38.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.38.0.0']),
% 207.74/208.13 [weight('<9,10,9,[1,0,0,0]>')]).
% 207.74/208.13 cnf('0.38.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_36]).
% 207.74/208.13 cnf('0.39.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 207.74/208.13 [pos('L','L')]).
% 207.74/208.13 cnf('0.39.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.39.0.0']),
% 207.74/208.13 [weight('<9,12,6,[1,0,0,0]>')]).
% 207.74/208.13 cnf('0.39.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_37]).
% 207.74/208.13 cnf('0.40.0.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.40.1.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.40.0.0']),
% 207.74/208.13 [weight('<9,16,10,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.40.1.1',plain,
% 207.74/208.13 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.40.1.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.40.2.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_38]).
% 207.74/208.13 cnf('0.41.0.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.40.2.0','0.11.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.41.0.1',plain,
% 207.74/208.13 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.41.0.0','0.10.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.41.1.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.41.0.1']),
% 207.74/208.13 [weight('<7,40,11,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.41.2.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_39]).
% 207.74/208.13 cnf('0.43.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.43.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.43.0.0']),
% 207.74/208.13 [weight('<7,41,8,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.43.2.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_41]).
% 207.74/208.13 cnf('0.45.0.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.45.1.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.45.0.0']),
% 207.74/208.13 [weight('<9,17,12,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.45.1.1',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.45.1.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.45.2.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_43]).
% 207.74/208.13 cnf('0.46.0.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.45.2.0','0.13.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.46.0.1',plain,
% 207.74/208.13 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.46.0.0','0.12.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.46.1.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.46.0.1']),
% 207.74/208.13 [weight('<7,45,13,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.46.2.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_44]).
% 207.74/208.13 cnf('0.54.0.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.54.1.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.54.0.0']),
% 207.74/208.13 [weight('<9,19,12,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.54.1.1',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.54.2.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_52]).
% 207.74/208.13 cnf('0.65.0.0',plain,
% 207.74/208.13 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(meet(X1,X3),join(X2,X4))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.17.2.0','0.22.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.65.0.1',plain,
% 207.74/208.13 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.65.0.0','0.17.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.65.1.0',plain,
% 207.74/208.13 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.65.0.1']),
% 207.74/208.13 [weight('<9,22,17,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.65.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 207.74/208.13 [u,rule_63]).
% 207.74/208.13 cnf('0.75.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.75.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.75.0.0']),
% 207.74/208.13 [weight('<9,25,18,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.75.2.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_73]).
% 207.74/208.13 cnf('0.82.0.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.10.2.0','0.28.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.82.1.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.82.0.0']),
% 207.74/208.13 [weight('<9,28,10,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.82.1.1',plain,
% 207.74/208.13 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.82.1.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.82.2.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.82.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_80]).
% 207.74/208.13 cnf('0.94.0.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.38.2.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.2.2','L')]).
% 207.74/208.13 cnf('0.94.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.94.0.0']),
% 207.74/208.13 [weight('<9,38,8,[1,0,0,6]>')]).
% 207.74/208.13 cnf('0.94.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_92]).
% 207.74/208.13 cnf('0.95.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.2.2','L')]).
% 207.74/208.13 cnf('0.95.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.95.0.0']),
% 207.74/208.13 [weight('<9,39,5,[1,0,0,6]>')]).
% 207.74/208.13 cnf('0.95.2.0',plain,
% 207.74/208.13 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_93]).
% 207.74/208.13 cnf('0.96.0.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.40.2.0','0.2.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.96.1.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.96.0.0']),
% 207.74/208.13 [weight('<9,40,2,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.96.2.0',plain,
% 207.74/208.13 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_94]).
% 207.74/208.13 cnf('0.109.0.0',plain,
% 207.74/208.13 ( join(join(X1,X2),X3) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.46.2.0','0.43.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.109.0.1',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.109.0.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('L','L')]).
% 207.74/208.13 cnf('0.109.0.2',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.109.0.1','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.2','L')]).
% 207.74/208.13 cnf('0.109.1.0',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.109.0.2']),
% 207.74/208.13 [weight('<9,46,43,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.109.2.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),join(X3,join(X1,X4))) = join(X3,join(X1,X4)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_107]).
% 207.74/208.13 cnf('0.110.0.0',plain,
% 207.74/208.13 ( join(join(X1,X2),X3) = join(join(meet(X1,X4),X2),join(join(X1,X2),X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.46.2.0','0.45.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.110.0.1',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(join(meet(X1,X4),X2),join(join(X1,X2),X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.110.0.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('L','L')]).
% 207.74/208.13 cnf('0.110.0.2',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(join(X1,X2),X3))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.110.0.1','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.110.0.3',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,join(X2,X3)))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.110.0.2','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.2.2','L')]).
% 207.74/208.13 cnf('0.110.0.4',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,X3))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.110.0.3','0.22.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.2','L')]).
% 207.74/208.13 cnf('0.110.1.0',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.110.0.4']),
% 207.74/208.13 [weight('<9,46,45,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.110.1.1',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.110.1.0','0.109.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.110.2.0',plain,
% 207.74/208.13 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 207.74/208.13 inference(activate,[status(thm)],['0.110.1.1']),
% 207.74/208.13 [equation_3]).
% 207.74/208.13 cnf('0.115.0.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.54.2.0','0.10.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1','L')]).
% 207.74/208.13 cnf('0.115.1.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.115.0.0']),
% 207.74/208.13 [weight('<9,54,10,[1,0,0,1]>')]).
% 207.74/208.13 cnf('0.115.2.0',plain,
% 207.74/208.13 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_111]).
% 207.74/208.13 cnf('0.124.0.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,join(X1,meet(X1,X3))))) = meet(X1,join(X2,meet(X3,meet(X3,join(X1,X2))))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.7.2.0','0.82.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.2.2','L')]).
% 207.74/208.13 cnf('0.124.0.1',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,meet(X3,join(X1,X2))))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.124.0.0','0.4.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.2.2','L')]).
% 207.74/208.13 cnf('0.124.0.2',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.124.0.1','0.11.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.2.2','L')]).
% 207.74/208.13 cnf('0.124.1.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.124.0.2']),
% 207.74/208.13 [weight('<9,82,7,[0,0,0,6]>')]).
% 207.74/208.13 cnf('0.124.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.124.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_120]).
% 207.74/208.13 cnf('0.126.0.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.94.2.0','0.96.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.126.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.126.0.0']),
% 207.74/208.13 [weight('<9,96,94,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.126.2.0',plain,
% 207.74/208.13 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_122]).
% 207.74/208.13 cnf('0.135.0.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.34.2.0','0.115.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.135.1.0',plain,
% 207.74/208.13 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.135.0.0']),
% 207.74/208.13 [weight('<9,115,34,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.135.2.0',plain,
% 207.74/208.13 ( meet(X1,join(meet(X1,X2),meet(X3,X2))) = meet(X1,X2) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.135.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_129]).
% 207.74/208.13 cnf('0.141.0.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.124.2.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.2','L')]).
% 207.74/208.13 cnf('0.141.1.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(join(X1,X2),X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.141.0.0']),
% 207.74/208.13 [weight('<9,124,5,[1,0,0,4]>')]).
% 207.74/208.13 cnf('0.141.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(join(X1,X2),X3))) = meet(X1,join(X2,meet(X3,X1))) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_135]).
% 207.74/208.13 cnf('0.152.0.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.135.2.0','0.12.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.2','L')]).
% 207.74/208.13 cnf('0.152.1.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.152.0.0']),
% 207.74/208.13 [weight('<9,135,12,[1,0,0,6]>')]).
% 207.74/208.13 cnf('0.152.1.1',plain,
% 207.74/208.13 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,join(X2,X3)))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.152.1.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.2','L')]).
% 207.74/208.13 cnf('0.152.2.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X1,join(X3,X2)))) = meet(X1,join(X3,X2)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.152.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_146]).
% 207.74/208.13 cnf('0.279.0.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.21.2.0','0.65.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.279.1.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.279.0.0']),
% 207.74/208.13 [weight('<11,65,21,[0,0,0,2]>')]).
% 207.74/208.13 cnf('0.279.2.0',plain,
% 207.74/208.13 ( meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) = join(meet(X1,X2),X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.279.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_271]).
% 207.74/208.13 cnf('0.390.0.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X1,X3)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.75.2.0','0.95.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.390.1.0',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X1,X3)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.390.0.0']),
% 207.74/208.13 [weight('<11,95,75,[0,0,0,4]>')]).
% 207.74/208.13 cnf('0.390.1.1',plain,
% 207.74/208.13 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X3),meet(X1,join(X2,meet(X3,X1)))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.390.1.0','0.8.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.390.2.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X1,join(X3,meet(X2,X1)))) = meet(X1,join(X3,meet(X2,X1))) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.390.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_382]).
% 207.74/208.13 cnf('0.501.0.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,meet(join(X3,join(X2,X4)),join(X2,X1))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.126.2.0','0.110.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.1','L')]).
% 207.74/208.13 cnf('0.501.1.0',plain,
% 207.74/208.13 ( join(X1,X2) = join(X1,meet(join(X3,join(X2,X4)),join(X2,X1))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.501.0.0']),
% 207.74/208.13 [weight('<11,126,110,[1,0,0,3]>')]).
% 207.74/208.13 cnf('0.501.2.0',plain,
% 207.74/208.13 ( join(X1,meet(join(X2,join(X3,X4)),join(X3,X1))) = join(X1,X3) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.501.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_493]).
% 207.74/208.13 cnf('0.727.0.0',plain,
% 207.74/208.13 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(meet(X2,X3),X1))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.501.2.0','0.17.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2.1','L')]).
% 207.74/208.13 cnf('0.727.1.0',plain,
% 207.74/208.13 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(meet(X2,X3),X1))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.727.0.0']),
% 207.74/208.13 [weight('<11,501,17,[1,0,0,3]>')]).
% 207.74/208.13 cnf('0.727.2.0',plain,
% 207.74/208.13 ( join(X1,meet(join(X2,X3),join(meet(X2,X4),X1))) = join(X1,meet(X2,X4)) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.727.1.0',theory(equality)]),
% 207.74/208.13 [x,rule_719]).
% 207.74/208.13 cnf('0.2463.0.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(meet(X1,X2),meet(X3,join(X1,X4))),join(X1,X4)) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.279.2.0','0.38.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.2463.1.0',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(meet(X1,X2),meet(X3,join(X1,X4))),join(X1,X4)) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.2463.0.0']),
% 207.74/208.13 [weight('<13,279,38,[1,0,0,6]>')]).
% 207.74/208.13 cnf('0.2463.1.1',plain,
% 207.74/208.13 ( join(meet(X1,X2),meet(X3,join(X1,X4))) = meet(join(X1,X4),join(meet(X1,X2),meet(X3,join(X1,X4)))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.2463.1.0','0.5.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.2463.2.0',plain,
% 207.74/208.13 ( meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) = join(meet(X1,X3),meet(X4,join(X1,X2))) ),
% 207.74/208.13 inference(orient,[status(thm)],['0.2463.1.1',theory(equality)]),
% 207.74/208.13 [x,rule_2455]).
% 207.74/208.13 cnf('0.3576.0.0',plain,
% 207.74/208.13 ( join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 207.74/208.13 inference(cp,[status(thm)],['0.727.2.0','0.141.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.2','L')]).
% 207.74/208.13 cnf('0.3576.0.1',plain,
% 207.74/208.13 ( join(meet(join(X1,join(X2,meet(X1,X3))),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.3576.0.0','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1.1','L')]).
% 207.74/208.13 cnf('0.3576.0.2',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(join(X1,X2),meet(X1,X3)),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.3576.0.1','0.30.2.0',theory(equality)]),
% 207.74/208.13 [pos('L.1.1','L')]).
% 207.74/208.13 cnf('0.3576.0.3',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(X1,join(X2,meet(X1,X3))),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.3576.0.2','0.9.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.1.1','L')]).
% 207.74/208.13 cnf('0.3576.0.4',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(join(X1,X2),X4),meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2))))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.3576.0.3','0.30.2.0',theory(equality)]),
% 207.74/208.13 [pos('R.1.1','L')]).
% 207.74/208.13 cnf('0.3576.0.5',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.3576.0.4','0.390.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.3576.1.0',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = meet(join(X1,X2),join(meet(X1,X3),meet(X4,join(X1,X2)))) ),
% 207.74/208.13 inference(weigh,[status(thm)],['0.3576.0.5']),
% 207.74/208.13 [weight('<13,727,141,[1,0,0,2]>')]).
% 207.74/208.13 cnf('0.3576.1.1',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X4),meet(X1,X3)) = join(meet(X1,X3),meet(X4,join(X1,X2))) ),
% 207.74/208.13 inference(reduction,[status(thm)],['0.3576.1.0','0.2463.2.0',theory(equality)]),
% 207.74/208.13 [pos('R','L')]).
% 207.74/208.13 cnf('0.3576.2.0',plain,
% 207.74/208.13 ( join(meet(join(X1,X2),X3),meet(X1,X4)) = join(meet(X1,X4),meet(X3,join(X1,X2))) ),
% 207.74/208.13 inference(activate,[status(thm)],['0.3576.1.1']),
% 207.74/208.14 [equation_9]).
% 207.74/208.14 cnf('0.5315.0.0',plain,
% 207.74/208.14 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 207.74/208.14 inference(cp,[status(thm)],['0.152.2.0','0.124.2.0',theory(equality)]),
% 207.74/208.14 [pos('L.2.2','L')]).
% 207.74/208.14 cnf('0.5315.0.1',plain,
% 207.74/208.14 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 207.74/208.14 inference(reduction,[status(thm)],['0.5315.0.0','0.124.2.0',theory(equality)]),
% 207.74/208.14 [pos('L','L')]).
% 207.74/208.14 cnf('0.5315.1.0',plain,
% 207.74/208.14 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(meet(X3,join(X1,X2)),meet(X1,join(X2,meet(X3,X1))))) ),
% 207.74/208.14 inference(weigh,[status(thm)],['0.5315.0.1']),
% 207.74/208.14 [weight('<15,152,124,[1,0,0,4]>')]).
% 207.74/208.14 cnf('0.5315.2.0',plain,
% 207.74/208.14 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,join(X3,meet(X2,X1))))) = meet(X1,join(X3,meet(X2,X1))) ),
% 207.74/208.14 inference(orient,[status(thm)],['0.5315.1.0',theory(equality)]),
% 207.74/208.14 [x,rule_5246]).
% 207.74/208.14 cnf('1.0.0.0',conjecture,
% 207.74/208.14 ( meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))) ),
% 207.74/208.14 file('/tmp/WALDMEISTER_26140_n029',conjecture_1)).
% 207.74/208.14 cnf('1.0.0.1',plain,
% 207.74/208.14 ( meet(a,join(meet(join(a,b),c),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 207.74/208.14 inference(reduction,[status(thm)],['1.0.0.0','0.3576.2.0',theory(equality)]),
% 207.74/208.14 [pos('L.2','R')]).
% 207.74/208.14 cnf('1.0.0.2',plain,
% 207.74/208.14 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) = meet(a,join(b,meet(a,c))) ),
% 207.74/208.14 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 207.74/208.14 [pos('L.2.1','L')]).
% 207.74/208.14 cnf('1.0.0.3',plain,
% 207.74/208.14 ( meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(c,a))))) = meet(a,join(b,meet(a,c))) ),
% 207.74/208.14 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 207.74/208.14 [pos('L.2.2.2.2','L')]).
% 207.74/208.14 cnf('1.0.0.4',plain,
% 207.74/208.14 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 207.74/208.14 inference(reduction,[status(thm)],['1.0.0.3','0.5315.2.0',theory(equality)]),
% 207.74/208.14 [pos('L','L')]).
% 207.74/208.14 cnf('1.0.0.5',plain,
% 207.74/208.14 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(c,a))) ),
% 207.74/208.14 inference(reduction,[status(thm)],['1.0.0.4','0.5.2.0',theory(equality)]),
% 207.74/208.14 [pos('R.2.2','L')]).
% 207.74/208.14 cnf('1.0.0.6',plain,
% 207.74/208.14 ( $true ),
% 207.74/208.14 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 207.74/208.14 [conjecture_1]).
% 207.74/208.14
% 207.74/208.14 Proved Goals:
% 207.74/208.14 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)))
% 207.74/208.14 1 goal was specified, which was proved.
% 207.74/208.14 % SZS output end CNFRefutation
% 207.74/208.14 #END OF PROOF
% 207.74/208.14
% 207.74/208.14 Problem WALDMEISTER_26140_n029
% 207.74/208.14 CPs.gen 41525651
% 207.74/208.14 CPs.reexp 0
% 207.74/208.14 Select 776448
% 207.74/208.14 R 5246
% 207.74/208.14 E 69
% 207.74/208.14 vsize 13.0M
% 207.74/208.14 rss 8.4M
% 207.74/208.14 process.time 207.143s
% 207.74/208.14 wallclock.time 207.136s
% 207.74/208.14 status S
% 207.74/208.14
% 207.74/208.14
% 207.74/208.14 Waldmeister states: Goal proved.
% 207.74/208.14 % SZS status Unsatisfiable
%------------------------------------------------------------------------------