TSTP Solution File: LAT175-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT175-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:15:32 EDT 2022
% Result : Unsatisfiable 51.34s 51.72s
% Output : CNFRefutation 51.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT175-1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n016.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 12:10:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))) ?=? meet(a,join(b,meet(a,meet(c,d))))
% 0.58/0.98
% 0.58/0.98 Detected structure: Verband
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 51.34/51.72 joined goal: 1 meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))) ?= meet(a,join(b,meet(a,meet(c,d)))) to meet(a,join(b,meet(d,meet(a,c))))
% 51.34/51.72 goal joined
% 51.34/51.72 % SZS status Unsatisfiable
% 51.34/51.72 #START OF PROOF
% 51.34/51.72 % SZS output start CNFRefutation
% 51.34/51.72 cnf('0.1.0.0',axiom,
% 51.34/51.72 ( X1 = join(X1,X1) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.1.1.0',plain,
% 51.34/51.72 ( X1 = join(X1,X1) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.1.0.0']),
% 51.34/51.72 [weight('<0,0,0,[0,0,0,1]>')]).
% 51.34/51.72 cnf('0.1.2.0',plain,
% 51.34/51.72 ( join(X1,X1) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_1]).
% 51.34/51.72 cnf('0.2.0.0',axiom,
% 51.34/51.72 ( X1 = join(X1,meet(X1,X2)) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.2.1.0',plain,
% 51.34/51.72 ( X1 = join(X1,meet(X1,X2)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.2.0.0']),
% 51.34/51.72 [weight('<1,0,0,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.2.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X1,X2)) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_2]).
% 51.34/51.72 cnf('0.3.0.0',axiom,
% 51.34/51.72 ( X1 = meet(X1,X1) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.3.1.0',plain,
% 51.34/51.72 ( X1 = meet(X1,X1) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.3.0.0']),
% 51.34/51.72 [weight('<2,0,0,[0,0,0,3]>')]).
% 51.34/51.72 cnf('0.3.2.0',plain,
% 51.34/51.72 ( meet(X1,X1) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_3]).
% 51.34/51.72 cnf('0.4.0.0',axiom,
% 51.34/51.72 ( X1 = meet(X1,join(X1,X2)) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.4.1.0',plain,
% 51.34/51.72 ( X1 = meet(X1,join(X1,X2)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.4.0.0']),
% 51.34/51.72 [weight('<3,0,0,[0,0,0,4]>')]).
% 51.34/51.72 cnf('0.4.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X1,X2)) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_4]).
% 51.34/51.72 cnf('0.5.0.0',axiom,
% 51.34/51.72 ( join(X1,X2) = join(X2,X1) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.5.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X2,X1) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.5.0.0']),
% 51.34/51.72 [weight('<4,0,0,[0,0,0,5]>')]).
% 51.34/51.72 cnf('0.5.2.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X2,X1) ),
% 51.34/51.72 inference(activate,[status(thm)],['0.5.1.0']),
% 51.34/51.72 [equation_1]).
% 51.34/51.72 cnf('0.6.0.0',axiom,
% 51.34/51.72 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.6.1.0',plain,
% 51.34/51.72 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.6.0.0']),
% 51.34/51.72 [weight('<5,0,0,[0,0,0,6]>')]).
% 51.34/51.72 cnf('0.6.2.0',plain,
% 51.34/51.72 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_5]).
% 51.34/51.72 cnf('0.7.0.0',axiom,
% 51.34/51.72 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.7.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X3,meet(X1,X4)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.7.0.0']),
% 51.34/51.72 [weight('<6,0,0,[0,0,0,7]>')]).
% 51.34/51.72 cnf('0.7.2.0',plain,
% 51.34/51.72 ( join(X1,meet(join(X1,meet(X2,join(X1,X3))),join(X3,X4))) = join(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_6]).
% 51.34/51.72 cnf('0.8.0.0',axiom,
% 51.34/51.72 ( meet(X1,X2) = meet(X2,X1) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.8.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X2,X1) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.8.0.0']),
% 51.34/51.72 [weight('<7,0,0,[0,0,0,8]>')]).
% 51.34/51.72 cnf('0.8.2.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X2,X1) ),
% 51.34/51.72 inference(activate,[status(thm)],['0.8.1.0']),
% 51.34/51.72 [equation_2]).
% 51.34/51.72 cnf('0.9.0.0',axiom,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016')).
% 51.34/51.72 cnf('0.9.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.9.0.0']),
% 51.34/51.72 [weight('<8,0,0,[0,0,0,9]>')]).
% 51.34/51.72 cnf('0.9.2.0',plain,
% 51.34/51.72 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_7]).
% 51.34/51.72 cnf('0.10.0.0',plain,
% 51.34/51.72 ( X1 = meet(X1,join(X2,X1)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.10.1.0',plain,
% 51.34/51.72 ( X1 = meet(X1,join(X2,X1)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.10.0.0']),
% 51.34/51.72 [weight('<5,5,4,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.10.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,X1)) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_8]).
% 51.34/51.72 cnf('0.11.0.0',plain,
% 51.34/51.72 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.11.1.0',plain,
% 51.34/51.72 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.11.0.0']),
% 51.34/51.72 [weight('<5,6,1,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.11.2.0',plain,
% 51.34/51.72 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_9]).
% 51.34/51.72 cnf('0.12.0.0',plain,
% 51.34/51.72 ( X1 = join(X1,meet(X2,X1)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.12.1.0',plain,
% 51.34/51.72 ( X1 = join(X1,meet(X2,X1)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.12.0.0']),
% 51.34/51.72 [weight('<5,8,2,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.12.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,X1)) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_10]).
% 51.34/51.72 cnf('0.13.0.0',plain,
% 51.34/51.72 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.13.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.13.0.0']),
% 51.34/51.72 [weight('<5,9,3,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.13.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_11]).
% 51.34/51.72 cnf('0.14.0.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.10.2.0','0.2.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.14.0.1',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.14.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.14.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.14.0.1']),
% 51.34/51.72 [weight('<5,10,2,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.14.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_12]).
% 51.34/51.72 cnf('0.15.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.15.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.15.0.0']),
% 51.34/51.72 [weight('<5,11,5,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.15.2.0',plain,
% 51.34/51.72 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_13]).
% 51.34/51.72 cnf('0.16.0.0',plain,
% 51.34/51.72 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.16.1.0',plain,
% 51.34/51.72 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.16.0.0']),
% 51.34/51.72 [weight('<7,6,2,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.16.2.0',plain,
% 51.34/51.72 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_14]).
% 51.34/51.72 cnf('0.17.0.0',plain,
% 51.34/51.72 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.17.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.17.0.0']),
% 51.34/51.72 [weight('<7,9,4,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.17.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_15]).
% 51.34/51.72 cnf('0.18.0.0',plain,
% 51.34/51.72 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.18.1.0',plain,
% 51.34/51.72 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.18.0.0']),
% 51.34/51.72 [weight('<7,10,6,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.18.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_16]).
% 51.34/51.72 cnf('0.20.0.0',plain,
% 51.34/51.72 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.20.1.0',plain,
% 51.34/51.72 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.20.0.0']),
% 51.34/51.72 [weight('<7,12,6,[0,0,0,1]>')]).
% 51.34/51.72 cnf('0.20.2.0',plain,
% 51.34/51.72 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_18]).
% 51.34/51.72 cnf('0.21.0.0',plain,
% 51.34/51.72 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.21.1.0',plain,
% 51.34/51.72 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.21.0.0']),
% 51.34/51.72 [weight('<7,12,9,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.21.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_19]).
% 51.34/51.72 cnf('0.22.0.0',plain,
% 51.34/51.72 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.9.2.0','0.14.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.22.0.1',plain,
% 51.34/51.72 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.22.0.2',plain,
% 51.34/51.72 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.22.0.1','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.22.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.22.0.2']),
% 51.34/51.72 [weight('<7,14,9,[0,0,0,1]>')]).
% 51.34/51.72 cnf('0.22.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_20]).
% 51.34/51.72 cnf('0.25.0.0',plain,
% 51.34/51.72 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.25.0.1',plain,
% 51.34/51.72 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.25.0.2',plain,
% 51.34/51.72 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.25.1.0',plain,
% 51.34/51.72 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.25.0.2']),
% 51.34/51.72 [weight('<7,15,6,[0,0,0,1]>')]).
% 51.34/51.72 cnf('0.25.2.0',plain,
% 51.34/51.72 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_23]).
% 51.34/51.72 cnf('0.28.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.28.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.28.0.0']),
% 51.34/51.72 [weight('<7,16,5,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.28.2.0',plain,
% 51.34/51.72 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_26]).
% 51.34/51.72 cnf('0.29.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.16.2.0','0.12.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.29.0.1',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.29.0.0','0.2.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.29.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.29.0.1']),
% 51.34/51.72 [weight('<7,16,12,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.29.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 51.34/51.72 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_27]).
% 51.34/51.72 cnf('0.30.0.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.30.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.30.0.0']),
% 51.34/51.72 [weight('<7,17,8,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.30.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_28]).
% 51.34/51.72 cnf('0.32.0.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,X1)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.32.0.1',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.32.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.32.0.1']),
% 51.34/51.72 [weight('<7,18,2,[1,0,0,4]>')]).
% 51.34/51.72 cnf('0.32.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_30]).
% 51.34/51.72 cnf('0.37.0.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('0.37.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.37.0.0']),
% 51.34/51.72 [weight('<9,9,4,[1,0,0,0]>')]).
% 51.34/51.72 cnf('0.37.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_35]).
% 51.34/51.72 cnf('0.38.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X2,meet(X1,X3)))) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.1.2','L')]).
% 51.34/51.72 cnf('0.38.0.1',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.38.0.0','0.4.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.38.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.38.0.1']),
% 51.34/51.72 [weight('<9,10,7,[0,0,0,5]>')]).
% 51.34/51.72 cnf('0.38.2.0',plain,
% 51.34/51.72 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_36]).
% 51.34/51.72 cnf('0.41.0.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.41.1.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.41.0.0']),
% 51.34/51.72 [weight('<9,16,10,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.41.1.1',plain,
% 51.34/51.72 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.41.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 51.34/51.72 [x,rule_39]).
% 51.34/51.72 cnf('0.42.0.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.41.2.0','0.11.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.42.0.1',plain,
% 51.34/51.72 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.42.0.0','0.10.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.42.1.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.42.0.1']),
% 51.34/51.72 [weight('<7,41,11,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.42.2.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_40]).
% 51.34/51.72 cnf('0.44.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.42.2.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.44.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(meet(X3,X1),join(X1,X2)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.44.0.0']),
% 51.34/51.72 [weight('<7,42,8,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.44.2.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),join(X2,X3)) = join(X2,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_42]).
% 51.34/51.72 cnf('0.46.0.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.46.1.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.46.0.0']),
% 51.34/51.72 [weight('<9,17,12,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.46.1.1',plain,
% 51.34/51.72 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.46.1.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.46.2.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 51.34/51.72 [x,rule_44]).
% 51.34/51.72 cnf('0.47.0.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.46.2.0','0.13.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.47.0.1',plain,
% 51.34/51.72 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.47.0.0','0.12.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.47.1.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.47.0.1']),
% 51.34/51.72 [weight('<7,46,13,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.47.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_45]).
% 51.34/51.72 cnf('0.49.0.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.47.2.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.49.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.49.0.0']),
% 51.34/51.72 [weight('<7,47,8,[1,0,0,4]>')]).
% 51.34/51.72 cnf('0.49.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_47]).
% 51.34/51.72 cnf('0.59.0.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.59.1.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.59.0.0']),
% 51.34/51.72 [weight('<9,20,10,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.59.1.1',plain,
% 51.34/51.72 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.59.1.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.59.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.59.1.1',theory(equality)]),
% 51.34/51.72 [x,rule_57]).
% 51.34/51.72 cnf('0.69.0.0',plain,
% 51.34/51.72 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.69.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.69.0.0']),
% 51.34/51.72 [weight('<9,22,21,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.69.2.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_67]).
% 51.34/51.72 cnf('0.76.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.76.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.76.0.0']),
% 51.34/51.72 [weight('<9,25,18,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.76.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_74]).
% 51.34/51.72 cnf('0.95.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.38.2.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.1','L')]).
% 51.34/51.72 cnf('0.95.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.95.0.0']),
% 51.34/51.72 [weight('<9,38,5,[1,0,0,3]>')]).
% 51.34/51.72 cnf('0.95.2.0',plain,
% 51.34/51.72 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_93]).
% 51.34/51.72 cnf('0.96.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,X2))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.38.2.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.96.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,X2))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.96.0.0']),
% 51.34/51.72 [weight('<9,38,5,[1,0,0,6]>')]).
% 51.34/51.72 cnf('0.96.2.0',plain,
% 51.34/51.72 ( join(X1,meet(join(X1,X2),join(X3,X2))) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_94]).
% 51.34/51.72 cnf('0.113.0.0',plain,
% 51.34/51.72 ( meet(meet(X1,X2),X3) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.47.2.0','0.44.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.113.0.1',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(meet(X1,X2),X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.113.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('0.113.0.2',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.113.0.1','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2','L')]).
% 51.34/51.72 cnf('0.113.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(join(X2,X4),meet(X1,meet(X2,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.113.0.2']),
% 51.34/51.72 [weight('<9,47,44,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.113.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),meet(X3,meet(X1,X4))) = meet(X3,meet(X1,X4)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_111]).
% 51.34/51.72 cnf('0.116.0.0',plain,
% 51.34/51.72 ( meet(meet(X1,X2),X3) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.49.2.0','0.42.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.116.0.1',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.116.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('0.116.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X3,meet(X1,X2))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.116.0.1']),
% 51.34/51.72 [weight('<9,49,42,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.116.1.1',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.116.1.0','0.113.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.116.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 51.34/51.72 inference(activate,[status(thm)],['0.116.1.1']),
% 51.34/51.72 [equation_4]).
% 51.34/51.72 cnf('0.120.0.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.59.2.0','0.2.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.120.1.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.120.0.0']),
% 51.34/51.72 [weight('<9,59,2,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.120.2.0',plain,
% 51.34/51.72 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_116]).
% 51.34/51.72 cnf('0.122.0.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.59.2.0','0.12.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.1','L')]).
% 51.34/51.72 cnf('0.122.1.0',plain,
% 51.34/51.72 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.122.0.0']),
% 51.34/51.72 [weight('<9,59,12,[1,0,0,1]>')]).
% 51.34/51.72 cnf('0.122.2.0',plain,
% 51.34/51.72 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_118]).
% 51.34/51.72 cnf('0.129.0.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.95.2.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.129.1.0',plain,
% 51.34/51.72 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.129.0.0']),
% 51.34/51.72 [weight('<9,95,8,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.129.2.0',plain,
% 51.34/51.72 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_125]).
% 51.34/51.72 cnf('0.131.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,meet(X2,join(X1,X3)))))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.96.2.0','0.7.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('0.131.0.1',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.131.0.0','0.30.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2.2.2','L')]).
% 51.34/51.72 cnf('0.131.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.131.0.1']),
% 51.34/51.72 [weight('<9,96,7,[1,0,0,0]>')]).
% 51.34/51.72 cnf('0.131.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X3,meet(X1,X2)))) = join(X1,meet(X2,join(X1,X3))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_127]).
% 51.34/51.72 cnf('0.139.0.0',plain,
% 51.34/51.72 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(X4,meet(X2,X1)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.116.2.0','0.30.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.139.0.1',plain,
% 51.34/51.72 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.139.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('0.139.1.0',plain,
% 51.34/51.72 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.139.0.1']),
% 51.34/51.72 [weight('<9,116,30,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.139.1.1',plain,
% 51.34/51.72 ( meet(X1,meet(X2,meet(join(X2,X3),X4))) = meet(X4,meet(X2,X1)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.139.1.0','0.116.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.139.1.2',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X4)) = meet(X4,meet(X2,X1)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.139.1.1','0.17.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.139.2.0',plain,
% 51.34/51.72 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 51.34/51.72 inference(activate,[status(thm)],['0.139.1.2']),
% 51.34/51.72 [equation_6]).
% 51.34/51.72 cnf('0.141.0.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.37.2.0','0.120.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.141.1.0',plain,
% 51.34/51.72 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.141.0.0']),
% 51.34/51.72 [weight('<9,120,37,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.141.2.0',plain,
% 51.34/51.72 ( meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_135]).
% 51.34/51.72 cnf('0.153.0.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.141.2.0','0.129.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.153.1.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.153.0.0']),
% 51.34/51.72 [weight('<9,141,129,[1,0,0,2]>')]).
% 51.34/51.72 cnf('0.153.1.1',plain,
% 51.34/51.72 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,join(X2,X3)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.153.1.0','0.5.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2','L')]).
% 51.34/51.72 cnf('0.153.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.153.1.1',theory(equality)]),
% 51.34/51.72 [x,rule_147]).
% 51.34/51.72 cnf('0.158.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X3,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.158.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X3,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.158.0.0']),
% 51.34/51.72 [weight('<11,7,1,[1,0,0,10]>')]).
% 51.34/51.72 cnf('0.158.1.1',plain,
% 51.34/51.72 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,join(X1,X3))),X3)) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.158.1.0','0.12.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.158.1.2',plain,
% 51.34/51.72 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,join(X1,X3))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.158.1.1','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2','L')]).
% 51.34/51.72 cnf('0.158.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))) = join(X1,meet(X3,X2)) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.158.1.2',theory(equality)]),
% 51.34/51.72 [x,rule_150]).
% 51.34/51.72 cnf('0.159.0.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.153.2.0','0.158.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.159.1.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.159.0.0']),
% 51.34/51.72 [weight('<9,158,153,[0,0,0,2]>')]).
% 51.34/51.72 cnf('0.159.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 51.34/51.72 [u,rule_151]).
% 51.34/51.72 cnf('0.331.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,X4))) = meet(join(X1,meet(X2,meet(X3,X4))),join(X1,X3)) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.76.2.0','0.29.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.331.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,X4))) = meet(join(X1,meet(X2,meet(X3,X4))),join(X1,X3)) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.331.0.0']),
% 51.34/51.72 [weight('<11,76,29,[1,0,0,6]>')]).
% 51.34/51.72 cnf('0.331.1.1',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,X4))) = meet(join(X1,X3),join(X1,meet(X2,meet(X3,X4)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.331.1.0','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.331.2.0',plain,
% 51.34/51.72 ( meet(join(X1,X2),join(X1,meet(X3,meet(X2,X4)))) = join(X1,meet(X3,meet(X2,X4))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.331.1.1',theory(equality)]),
% 51.34/51.72 [x,rule_323]).
% 51.34/51.72 cnf('0.517.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X1,join(X3,X4)))) = join(X1,meet(X2,join(X3,join(X4,meet(X1,X2))))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.131.2.0','0.6.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.517.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X1,join(X3,X4)))) = join(X1,meet(X2,join(X3,join(X4,meet(X1,X2))))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.517.0.0']),
% 51.34/51.72 [weight('<11,131,6,[1,0,0,4]>')]).
% 51.34/51.72 cnf('0.517.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(X3,join(X4,meet(X1,X2))))) = join(X1,meet(X2,join(X1,join(X3,X4)))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.517.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_509]).
% 51.34/51.72 cnf('0.618.0.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(meet(X3,X4),X1))) = meet(X1,join(X2,meet(X3,meet(X4,join(X2,X1))))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.159.2.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.618.0.1',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,meet(X4,X1)))) = meet(X1,join(X2,meet(X3,meet(X4,join(X2,X1))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.618.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.618.1.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,meet(X4,X1)))) = meet(X1,join(X2,meet(X3,meet(X4,join(X2,X1))))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.618.0.1']),
% 51.34/51.72 [weight('<11,159,9,[1,0,0,4]>')]).
% 51.34/51.72 cnf('0.618.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,meet(X4,join(X2,X1))))) = meet(X1,join(X2,meet(X3,meet(X4,X1)))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.618.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_610]).
% 51.34/51.72 cnf('0.761.0.0',plain,
% 51.34/51.72 ( join(X1,meet(meet(X2,X3),join(X1,join(X4,meet(X1,X3))))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X3)))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.517.2.0','0.69.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2.2','L')]).
% 51.34/51.72 cnf('0.761.0.1',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X1,join(X4,meet(X1,X3)))))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X3)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.761.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.761.0.2',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(meet(X2,X3),join(X4,meet(X1,X3)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.761.0.1','0.28.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2.2','L')]).
% 51.34/51.72 cnf('0.761.0.3',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.761.0.2','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2','L')]).
% 51.34/51.72 cnf('0.761.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X1,X4)))) = join(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.761.0.3']),
% 51.34/51.72 [weight('<11,517,69,[1,0,0,6]>')]).
% 51.34/51.72 cnf('0.761.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = join(X1,meet(X2,meet(X3,join(X1,X4)))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.761.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_753]).
% 51.34/51.72 cnf('0.822.0.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X1,meet(X4,X3))))) = join(X1,meet(X2,join(meet(X4,X3),meet(X1,X3)))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.761.2.0','0.122.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('0.822.1.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,meet(X3,join(X1,meet(X4,X3))))) = join(X1,meet(X2,join(meet(X4,X3),meet(X1,X3)))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.822.0.0']),
% 51.34/51.72 [weight('<11,761,122,[1,0,0,4]>')]).
% 51.34/51.72 cnf('0.822.2.0',plain,
% 51.34/51.72 ( join(X1,meet(X2,join(meet(X3,X4),meet(X1,X4)))) = join(X1,meet(X2,meet(X4,join(X1,meet(X3,X4))))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.822.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_814]).
% 51.34/51.72 cnf('0.3558.0.0',plain,
% 51.34/51.72 ( meet(meet(X1,join(X2,X3)),join(X2,meet(X4,meet(X3,meet(X1,join(X2,X3)))))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3)))))) ),
% 51.34/51.72 inference(cp,[status(thm)],['0.618.2.0','0.159.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2.2','L')]).
% 51.34/51.72 cnf('0.3558.0.1',plain,
% 51.34/51.72 ( meet(X1,meet(join(X2,X3),join(X2,meet(X4,meet(X3,meet(X1,join(X2,X3))))))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3)))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.3558.0.0','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('0.3558.0.2',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X4,meet(X3,meet(X1,join(X2,X3)))))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3)))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.3558.0.1','0.331.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('0.3558.0.3',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X4,meet(X3,X1)))) = meet(meet(X1,join(X2,X3)),join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3)))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.3558.0.2','0.32.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2.2','L')]).
% 51.34/51.72 cnf('0.3558.0.4',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X4,meet(X3,X1)))) = meet(X1,meet(join(X2,X3),join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3))))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.3558.0.3','0.9.2.0',theory(equality)]),
% 51.34/51.72 [pos('R','L')]).
% 51.34/51.72 cnf('0.3558.0.5',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X4,meet(X3,X1)))) = meet(X1,join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3)))))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['0.3558.0.4','0.331.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2','L')]).
% 51.34/51.72 cnf('0.3558.1.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X4,meet(X3,X1)))) = meet(X1,join(X2,meet(X4,meet(X3,join(X2,meet(X1,X3)))))) ),
% 51.34/51.72 inference(weigh,[status(thm)],['0.3558.0.5']),
% 51.34/51.72 [weight('<13,618,159,[1,0,0,6]>')]).
% 51.34/51.72 cnf('0.3558.2.0',plain,
% 51.34/51.72 ( meet(X1,join(X2,meet(X3,meet(X4,join(X2,meet(X1,X4)))))) = meet(X1,join(X2,meet(X3,meet(X4,X1)))) ),
% 51.34/51.72 inference(orient,[status(thm)],['0.3558.1.0',theory(equality)]),
% 51.34/51.72 [x,rule_3550]).
% 51.34/51.72 cnf('1.0.0.0',conjecture,
% 51.34/51.72 ( meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))) = meet(a,join(b,meet(a,meet(c,d)))) ),
% 51.34/51.72 file('/tmp/WALDMEISTER_11150_n016',conjecture_1)).
% 51.34/51.72 cnf('1.0.0.1',plain,
% 51.34/51.72 ( meet(a,join(b,meet(c,meet(d,join(b,meet(a,d)))))) = meet(a,join(b,meet(a,meet(c,d)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.0','0.822.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2','L')]).
% 51.34/51.72 cnf('1.0.0.2',plain,
% 51.34/51.72 ( meet(a,join(b,meet(c,meet(d,a)))) = meet(a,join(b,meet(a,meet(c,d)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.1','0.3558.2.0',theory(equality)]),
% 51.34/51.72 [pos('L','L')]).
% 51.34/51.72 cnf('1.0.0.3',plain,
% 51.34/51.72 ( meet(a,join(b,meet(a,meet(d,c)))) = meet(a,join(b,meet(a,meet(c,d)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.2','0.139.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','L')]).
% 51.34/51.72 cnf('1.0.0.4',plain,
% 51.34/51.72 ( meet(a,join(b,meet(d,meet(c,a)))) = meet(a,join(b,meet(a,meet(c,d)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.3','0.116.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2','R')]).
% 51.34/51.72 cnf('1.0.0.5',plain,
% 51.34/51.72 ( meet(a,join(b,meet(d,meet(a,c)))) = meet(a,join(b,meet(a,meet(c,d)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.4','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('L.2.2.2','L')]).
% 51.34/51.72 cnf('1.0.0.6',plain,
% 51.34/51.72 ( meet(a,join(b,meet(d,meet(a,c)))) = meet(a,join(b,meet(d,meet(c,a)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.5','0.139.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2.2','L')]).
% 51.34/51.72 cnf('1.0.0.7',plain,
% 51.34/51.72 ( meet(a,join(b,meet(d,meet(a,c)))) = meet(a,join(b,meet(d,meet(a,c)))) ),
% 51.34/51.72 inference(reduction,[status(thm)],['1.0.0.6','0.8.2.0',theory(equality)]),
% 51.34/51.72 [pos('R.2.2.2','L')]).
% 51.34/51.72 cnf('1.0.0.8',plain,
% 51.34/51.72 ( $true ),
% 51.34/51.72 inference(trivial,[status(thm)],['1.0.0.7',theory(equality)]),
% 51.34/51.72 [conjecture_1]).
% 51.34/51.72
% 51.34/51.72 Proved Goals:
% 51.34/51.72 No. 1: meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))) ?= meet(a,join(b,meet(a,meet(c,d)))) joined, current: meet(a,join(b,meet(d,meet(a,c)))) = meet(a,join(b,meet(d,meet(a,c))))
% 51.34/51.72 1 goal was specified, which was proved.
% 51.34/51.72 % SZS output end CNFRefutation
% 51.34/51.72 #END OF PROOF
% 51.34/51.72
% 51.34/51.72 Problem WALDMEISTER_11150_n016
% 51.34/51.72 CPs.gen 12917591
% 51.34/51.72 CPs.reexp 0
% 51.34/51.72 Select 232450
% 51.34/51.72 R 3550
% 51.34/51.72 E 8
% 51.34/51.72 vsize 11.2M
% 51.34/51.72 rss 6.7M
% 51.34/51.72 process.time 50.735s
% 51.34/51.72 wallclock.time 50.741s
% 51.34/51.72 status S
% 51.34/51.72
% 51.34/51.72
% 51.34/51.72 Waldmeister states: Goal proved.
% 51.34/51.72 % SZS status Unsatisfiable
%------------------------------------------------------------------------------