TSTP Solution File: LAT153-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT153-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n014.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 92.88s 93.26s
% Output : CNFRefutation 92.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT153-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n014.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 22:10:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) ?=? meet(a,join(b,meet(a,c)))
% 0.58/0.99
% 0.58/0.99 Detected structure: Verband
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 92.88/93.26 joined goal: 1 meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) ?= meet(a,join(b,meet(a,c))) to meet(a,join(b,meet(a,c)))
% 92.88/93.26 goal joined
% 92.88/93.26 % SZS status Unsatisfiable
% 92.88/93.26 #START OF PROOF
% 92.88/93.26 % SZS output start CNFRefutation
% 92.88/93.26 cnf('0.1.0.0',axiom,
% 92.88/93.26 ( X1 = meet(X1,X1) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.1.1.0',plain,
% 92.88/93.26 ( X1 = meet(X1,X1) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.1.0.0']),
% 92.88/93.26 [weight('<0,0,0,[0,0,0,1]>')]).
% 92.88/93.26 cnf('0.1.2.0',plain,
% 92.88/93.26 ( meet(X1,X1) = X1 ),
% 92.88/93.26 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_1]).
% 92.88/93.26 cnf('0.2.0.0',axiom,
% 92.88/93.26 ( X1 = meet(X1,join(X1,X2)) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.2.1.0',plain,
% 92.88/93.26 ( X1 = meet(X1,join(X1,X2)) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.2.0.0']),
% 92.88/93.26 [weight('<1,0,0,[0,0,0,2]>')]).
% 92.88/93.26 cnf('0.2.2.0',plain,
% 92.88/93.26 ( meet(X1,join(X1,X2)) = X1 ),
% 92.88/93.26 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_2]).
% 92.88/93.26 cnf('0.4.0.0',axiom,
% 92.88/93.26 ( X1 = join(X1,meet(X1,X2)) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.4.1.0',plain,
% 92.88/93.26 ( X1 = join(X1,meet(X1,X2)) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.4.0.0']),
% 92.88/93.26 [weight('<3,0,0,[0,0,0,4]>')]).
% 92.88/93.26 cnf('0.4.2.0',plain,
% 92.88/93.26 ( join(X1,meet(X1,X2)) = X1 ),
% 92.88/93.26 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_4]).
% 92.88/93.26 cnf('0.5.0.0',axiom,
% 92.88/93.26 ( meet(X1,X2) = meet(X2,X1) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.5.1.0',plain,
% 92.88/93.26 ( meet(X1,X2) = meet(X2,X1) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.5.0.0']),
% 92.88/93.26 [weight('<4,0,0,[0,0,0,5]>')]).
% 92.88/93.26 cnf('0.5.2.0',plain,
% 92.88/93.26 ( meet(X1,X2) = meet(X2,X1) ),
% 92.88/93.26 inference(activate,[status(thm)],['0.5.1.0']),
% 92.88/93.26 [equation_1]).
% 92.88/93.26 cnf('0.6.0.0',axiom,
% 92.88/93.26 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.6.1.0',plain,
% 92.88/93.26 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.6.0.0']),
% 92.88/93.26 [weight('<5,0,0,[0,0,0,6]>')]).
% 92.88/93.26 cnf('0.6.2.0',plain,
% 92.88/93.26 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 92.88/93.26 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_5]).
% 92.88/93.26 cnf('0.7.0.0',axiom,
% 92.88/93.26 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.7.1.0',plain,
% 92.88/93.26 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.7.0.0']),
% 92.88/93.26 [weight('<6,0,0,[0,0,0,7]>')]).
% 92.88/93.26 cnf('0.7.2.0',plain,
% 92.88/93.26 ( meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 92.88/93.26 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_6]).
% 92.88/93.26 cnf('0.8.0.0',axiom,
% 92.88/93.26 ( join(X1,X2) = join(X2,X1) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.8.1.0',plain,
% 92.88/93.26 ( join(X1,X2) = join(X2,X1) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.8.0.0']),
% 92.88/93.26 [weight('<7,0,0,[0,0,0,8]>')]).
% 92.88/93.26 cnf('0.8.2.0',plain,
% 92.88/93.26 ( join(X1,X2) = join(X2,X1) ),
% 92.88/93.26 inference(activate,[status(thm)],['0.8.1.0']),
% 92.88/93.26 [equation_2]).
% 92.88/93.26 cnf('0.9.0.0',axiom,
% 92.88/93.26 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 92.88/93.26 file('/tmp/WALDMEISTER_18820_n014')).
% 92.88/93.26 cnf('0.9.1.0',plain,
% 92.88/93.26 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.9.0.0']),
% 92.88/93.26 [weight('<8,0,0,[0,0,0,9]>')]).
% 92.88/93.26 cnf('0.9.2.0',plain,
% 92.88/93.26 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 92.88/93.26 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_7]).
% 92.88/93.26 cnf('0.10.0.0',plain,
% 92.88/93.26 ( X1 = join(X1,meet(X2,X1)) ),
% 92.88/93.26 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 92.88/93.26 [pos('L.2','L')]).
% 92.88/93.26 cnf('0.10.1.0',plain,
% 92.88/93.26 ( X1 = join(X1,meet(X2,X1)) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.10.0.0']),
% 92.88/93.26 [weight('<5,5,4,[0,0,0,2]>')]).
% 92.88/93.26 cnf('0.10.2.0',plain,
% 92.88/93.26 ( join(X1,meet(X2,X1)) = X1 ),
% 92.88/93.26 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_8]).
% 92.88/93.26 cnf('0.11.0.0',plain,
% 92.88/93.26 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 92.88/93.26 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 92.88/93.26 [pos('L.1','L')]).
% 92.88/93.26 cnf('0.11.1.0',plain,
% 92.88/93.26 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.11.0.0']),
% 92.88/93.26 [weight('<5,6,1,[1,0,0,1]>')]).
% 92.88/93.26 cnf('0.11.2.0',plain,
% 92.88/93.26 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 92.88/93.26 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 92.88/93.26 [u,rule_9]).
% 92.88/93.26 cnf('0.12.0.0',plain,
% 92.88/93.26 ( X1 = meet(X1,join(X2,X1)) ),
% 92.88/93.26 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 92.88/93.26 [pos('L.2','L')]).
% 92.88/93.26 cnf('0.12.1.0',plain,
% 92.88/93.26 ( X1 = meet(X1,join(X2,X1)) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.12.0.0']),
% 92.88/93.26 [weight('<5,8,2,[0,0,0,2]>')]).
% 92.88/93.26 cnf('0.12.2.0',plain,
% 92.88/93.26 ( meet(X1,join(X2,X1)) = X1 ),
% 92.88/93.26 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_10]).
% 92.88/93.26 cnf('0.15.0.0',plain,
% 92.88/93.26 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 92.88/93.26 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 92.88/93.26 [pos('L.2','L')]).
% 92.88/93.26 cnf('0.15.1.0',plain,
% 92.88/93.26 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.15.0.0']),
% 92.88/93.26 [weight('<5,11,5,[1,0,0,2]>')]).
% 92.88/93.26 cnf('0.15.2.0',plain,
% 92.88/93.26 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 92.88/93.26 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 92.88/93.26 [x,rule_13]).
% 92.88/93.26 cnf('0.16.0.0',plain,
% 92.88/93.26 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 92.88/93.26 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 92.88/93.26 [pos('L.1','L')]).
% 92.88/93.26 cnf('0.16.1.0',plain,
% 92.88/93.26 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 92.88/93.26 inference(weigh,[status(thm)],['0.16.0.0']),
% 92.88/93.26 [weight('<7,6,2,[1,0,0,1]>')]).
% 92.88/93.26 cnf('0.16.2.0',plain,
% 92.88/93.26 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 92.88/93.26 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 92.88/93.26 [u,rule_14]).
% 92.88/93.26 cnf('0.17.0.0',plain,
% 92.88/93.26 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.17.1.0',plain,
% 92.88/93.27 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.17.0.0']),
% 92.88/93.27 [weight('<7,9,4,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.17.2.0',plain,
% 92.88/93.27 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_15]).
% 92.88/93.27 cnf('0.18.0.0',plain,
% 92.88/93.27 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.18.1.0',plain,
% 92.88/93.27 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.18.0.0']),
% 92.88/93.27 [weight('<7,10,6,[1,0,0,2]>')]).
% 92.88/93.27 cnf('0.18.2.0',plain,
% 92.88/93.27 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 92.88/93.27 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_16]).
% 92.88/93.27 cnf('0.19.0.0',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.19.1.0',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.19.0.0']),
% 92.88/93.27 [weight('<7,10,9,[0,0,0,1]>')]).
% 92.88/93.27 cnf('0.19.2.0',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_17]).
% 92.88/93.27 cnf('0.25.0.0',plain,
% 92.88/93.27 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.25.0.1',plain,
% 92.88/93.27 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.25.0.2',plain,
% 92.88/93.27 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.25.1.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.25.0.2']),
% 92.88/93.27 [weight('<7,15,6,[0,0,0,1]>')]).
% 92.88/93.27 cnf('0.25.2.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_23]).
% 92.88/93.27 cnf('0.29.0.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X1,X3)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.16.2.0','0.12.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.29.0.1',plain,
% 92.88/93.27 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.29.0.0','0.2.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.29.1.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.29.0.1']),
% 92.88/93.27 [weight('<7,16,12,[1,0,0,2]>')]).
% 92.88/93.27 cnf('0.29.2.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 92.88/93.27 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_27]).
% 92.88/93.27 cnf('0.32.0.0',plain,
% 92.88/93.27 ( join(X1,X2) = join(join(X1,X2),meet(X3,X1)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2','L')]).
% 92.88/93.27 cnf('0.32.0.1',plain,
% 92.88/93.27 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.32.0.0','0.9.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.32.1.0',plain,
% 92.88/93.27 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.32.0.1']),
% 92.88/93.27 [weight('<7,18,2,[1,0,0,4]>')]).
% 92.88/93.27 cnf('0.32.2.0',plain,
% 92.88/93.27 ( join(X1,join(X2,meet(X3,X1))) = join(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_30]).
% 92.88/93.27 cnf('0.37.0.0',plain,
% 92.88/93.27 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 92.88/93.27 [pos('L','L')]).
% 92.88/93.27 cnf('0.37.1.0',plain,
% 92.88/93.27 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.37.0.0']),
% 92.88/93.27 [weight('<9,9,4,[1,0,0,0]>')]).
% 92.88/93.27 cnf('0.37.2.0',plain,
% 92.88/93.27 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_35]).
% 92.88/93.27 cnf('0.39.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('L','L')]).
% 92.88/93.27 cnf('0.39.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.39.0.0']),
% 92.88/93.27 [weight('<9,12,6,[1,0,0,0]>')]).
% 92.88/93.27 cnf('0.39.2.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_37]).
% 92.88/93.27 cnf('0.40.0.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.40.1.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.40.0.0']),
% 92.88/93.27 [weight('<9,16,10,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.40.1.1',plain,
% 92.88/93.27 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.40.1.0','0.8.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.40.2.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 92.88/93.27 [x,rule_38]).
% 92.88/93.27 cnf('0.41.0.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.40.2.0','0.11.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.41.0.1',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.41.0.0','0.10.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.41.1.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.41.0.1']),
% 92.88/93.27 [weight('<7,40,11,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.41.2.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_39]).
% 92.88/93.27 cnf('0.42.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.41.2.0','0.5.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.42.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.42.0.0']),
% 92.88/93.27 [weight('<7,41,5,[1,0,0,4]>')]).
% 92.88/93.27 cnf('0.42.2.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_40]).
% 92.88/93.27 cnf('0.43.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.43.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.43.0.0']),
% 92.88/93.27 [weight('<7,41,8,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.43.2.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_41]).
% 92.88/93.27 cnf('0.44.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.42.2.0','0.8.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.44.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.44.0.0']),
% 92.88/93.27 [weight('<7,42,8,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.44.2.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X3,X2)) = meet(X2,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_42]).
% 92.88/93.27 cnf('0.45.0.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.45.1.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.45.0.0']),
% 92.88/93.27 [weight('<9,17,12,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.45.1.1',plain,
% 92.88/93.27 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.45.1.0','0.5.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.45.2.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 92.88/93.27 [x,rule_43]).
% 92.88/93.27 cnf('0.75.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.75.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.75.0.0']),
% 92.88/93.27 [weight('<9,25,18,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.75.2.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_73]).
% 92.88/93.27 cnf('0.93.0.0',plain,
% 92.88/93.27 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.37.2.0','0.8.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2.1','L')]).
% 92.88/93.27 cnf('0.93.1.0',plain,
% 92.88/93.27 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.93.0.0']),
% 92.88/93.27 [weight('<9,37,8,[1,0,0,5]>')]).
% 92.88/93.27 cnf('0.93.2.0',plain,
% 92.88/93.27 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_91]).
% 92.88/93.27 cnf('0.95.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2.2','L')]).
% 92.88/93.27 cnf('0.95.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.95.0.0']),
% 92.88/93.27 [weight('<9,39,5,[1,0,0,6]>')]).
% 92.88/93.27 cnf('0.95.2.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_93]).
% 92.88/93.27 cnf('0.96.0.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.40.2.0','0.2.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.96.1.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.96.0.0']),
% 92.88/93.27 [weight('<9,40,2,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.96.2.0',plain,
% 92.88/93.27 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_94]).
% 92.88/93.27 cnf('0.101.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.43.2.0','0.9.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.101.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.101.0.0']),
% 92.88/93.27 [weight('<9,43,9,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.101.2.0',plain,
% 92.88/93.27 ( meet(join(X1,join(X2,X3)),meet(X3,X4)) = meet(X3,X4) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_99]).
% 92.88/93.27 cnf('0.103.0.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(meet(X3,X2),X4)) = meet(meet(X2,X3),X4) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.6.2.0','0.44.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.103.0.1',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(meet(X2,X3),X4) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.103.0.0','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.103.0.2',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.103.0.1','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.103.1.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.103.0.2']),
% 92.88/93.27 [weight('<9,44,6,[0,0,0,1]>')]).
% 92.88/93.27 cnf('0.103.2.0',plain,
% 92.88/93.27 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_101]).
% 92.88/93.27 cnf('0.106.0.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.45.2.0','0.4.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1','L')]).
% 92.88/93.27 cnf('0.106.1.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.106.0.0']),
% 92.88/93.27 [weight('<9,45,4,[1,0,0,1]>')]).
% 92.88/93.27 cnf('0.106.2.0',plain,
% 92.88/93.27 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_104]).
% 92.88/93.27 cnf('0.122.0.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.75.2.0','0.2.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2','L')]).
% 92.88/93.27 cnf('0.122.1.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X1,X2)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.122.0.0']),
% 92.88/93.27 [weight('<9,75,2,[1,0,0,6]>')]).
% 92.88/93.27 cnf('0.122.1.1',plain,
% 92.88/93.27 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,join(X2,X3))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.122.1.0','0.8.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.122.2.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.122.1.1',theory(equality)]),
% 92.88/93.27 [x,rule_118]).
% 92.88/93.27 cnf('0.125.0.0',plain,
% 92.88/93.27 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.93.2.0','0.96.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.125.1.0',plain,
% 92.88/93.27 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.125.0.0']),
% 92.88/93.27 [weight('<9,96,93,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.125.2.0',plain,
% 92.88/93.27 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_121]).
% 92.88/93.27 cnf('0.127.0.0',plain,
% 92.88/93.27 ( meet(meet(X1,X2),X3) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.101.2.0','0.10.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.1.2','L')]).
% 92.88/93.27 cnf('0.127.0.1',plain,
% 92.88/93.27 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.127.0.0','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('L','L')]).
% 92.88/93.27 cnf('0.127.0.2',plain,
% 92.88/93.27 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.127.0.1','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('R.2','L')]).
% 92.88/93.27 cnf('0.127.1.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.127.0.2']),
% 92.88/93.27 [weight('<9,101,10,[1,0,0,3]>')]).
% 92.88/93.27 cnf('0.127.1.1',plain,
% 92.88/93.27 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.127.1.0','0.103.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.127.2.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 92.88/93.27 inference(activate,[status(thm)],['0.127.1.1']),
% 92.88/93.27 [equation_5]).
% 92.88/93.27 cnf('0.129.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.95.2.0','0.106.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.129.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.129.0.0']),
% 92.88/93.27 [weight('<9,106,95,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.129.2.0',plain,
% 92.88/93.27 ( meet(X1,join(meet(X2,X3),meet(X2,X1))) = meet(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_124]).
% 92.88/93.27 cnf('0.472.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(meet(X1,X2),join(X3,meet(X1,join(X2,X4)))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.29.2.0','0.122.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2','L')]).
% 92.88/93.27 cnf('0.472.0.1',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,join(X2,X4))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.472.0.0','0.6.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.472.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,join(X2,X4))))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.472.0.1']),
% 92.88/93.27 [weight('<11,122,29,[0,0,0,4]>')]).
% 92.88/93.27 cnf('0.472.2.0',plain,
% 92.88/93.27 ( meet(X1,meet(X2,join(X3,meet(X1,join(X2,X4))))) = meet(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.472.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_464]).
% 92.88/93.27 cnf('0.493.0.0',plain,
% 92.88/93.27 ( join(X1,meet(join(X2,meet(X3,X1)),join(X2,X4))) = join(X1,join(meet(X3,X1),X2)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.19.2.0','0.125.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.493.0.1',plain,
% 92.88/93.27 ( join(X1,meet(join(X2,meet(X3,X1)),join(X2,X4))) = join(X1,X2) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.493.0.0','0.19.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.493.1.0',plain,
% 92.88/93.27 ( join(X1,meet(join(X2,meet(X3,X1)),join(X2,X4))) = join(X1,X2) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.493.0.1']),
% 92.88/93.27 [weight('<11,125,19,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.493.2.0',plain,
% 92.88/93.27 ( join(X1,meet(join(X2,meet(X3,X1)),join(X2,X4))) = join(X1,X2) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.493.1.0',theory(equality)]),
% 92.88/93.27 [u,rule_485]).
% 92.88/93.27 cnf('0.513.0.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,join(meet(X3,meet(X2,X4)),meet(X2,X1))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.129.2.0','0.127.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.1','L')]).
% 92.88/93.27 cnf('0.513.1.0',plain,
% 92.88/93.27 ( meet(X1,X2) = meet(X1,join(meet(X3,meet(X2,X4)),meet(X2,X1))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.513.0.0']),
% 92.88/93.27 [weight('<11,129,127,[1,0,0,3]>')]).
% 92.88/93.27 cnf('0.513.2.0',plain,
% 92.88/93.27 ( meet(X1,join(meet(X2,meet(X3,X4)),meet(X3,X1))) = meet(X1,X3) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.513.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_505]).
% 92.88/93.27 cnf('0.808.0.0',plain,
% 92.88/93.27 ( meet(X1,join(meet(X1,X2),meet(X3,join(X1,X4)))) = meet(X1,join(meet(X1,X2),meet(X3,join(X4,meet(X3,X1))))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.7.2.0','0.4.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2.2.2.2','L')]).
% 92.88/93.27 cnf('0.808.1.0',plain,
% 92.88/93.27 ( meet(X1,join(meet(X1,X2),meet(X3,join(X1,X4)))) = meet(X1,join(meet(X1,X2),meet(X3,join(X4,meet(X3,X1))))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.808.0.0']),
% 92.88/93.27 [weight('<13,7,4,[1,0,0,10]>')]).
% 92.88/93.27 cnf('0.808.2.0',plain,
% 92.88/93.27 ( meet(X1,join(meet(X1,X2),meet(X3,join(X4,meet(X3,X1))))) = meet(X1,join(meet(X1,X2),meet(X3,join(X1,X4)))) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.808.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_800]).
% 92.88/93.27 cnf('0.2945.0.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = join(meet(X1,join(X2,meet(X3,join(X1,X4)))),meet(X3,X1)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.10.2.0','0.472.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.2945.1.0',plain,
% 92.88/93.27 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = join(meet(X1,join(X2,meet(X3,join(X1,X4)))),meet(X3,X1)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.2945.0.0']),
% 92.88/93.27 [weight('<13,472,10,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.2945.1.1',plain,
% 92.88/93.27 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = join(meet(X3,X1),meet(X1,join(X2,meet(X3,join(X1,X4))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.2945.1.0','0.8.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.2945.2.0',plain,
% 92.88/93.27 ( join(meet(X1,X2),meet(X2,join(X3,meet(X1,join(X2,X4))))) = meet(X2,join(X3,meet(X1,join(X2,X4)))) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.2945.1.1',theory(equality)]),
% 92.88/93.27 [x,rule_2937]).
% 92.88/93.27 cnf('0.3074.0.0',plain,
% 92.88/93.27 ( join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(join(meet(X2,meet(X3,X4)),meet(X5,X1)),X3)) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.493.2.0','0.513.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.3074.1.0',plain,
% 92.88/93.27 ( join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(join(meet(X2,meet(X3,X4)),meet(X5,X1)),X3)) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.3074.0.0']),
% 92.88/93.27 [weight('<13,513,493,[0,0,0,2]>')]).
% 92.88/93.27 cnf('0.3074.1.1',plain,
% 92.88/93.27 ( join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(X3,join(meet(X2,meet(X3,X4)),meet(X5,X1)))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.3074.1.0','0.5.2.0',theory(equality)]),
% 92.88/93.27 [pos('R.2','L')]).
% 92.88/93.27 cnf('0.3074.2.0',plain,
% 92.88/93.27 ( join(X1,meet(X2,join(meet(X3,meet(X2,X4)),meet(X5,X1)))) = join(X1,meet(X3,meet(X2,X4))) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.3074.1.1',theory(equality)]),
% 92.88/93.27 [x,rule_3066]).
% 92.88/93.27 cnf('0.4536.0.0',plain,
% 92.88/93.27 ( join(join(X1,meet(X2,X3)),meet(X3,meet(X3,X4))) = join(join(X1,meet(X2,X3)),meet(X3,join(meet(X3,meet(X3,X4)),meet(X2,join(X3,X1))))) ),
% 92.88/93.27 inference(cp,[status(thm)],['0.3074.2.0','0.808.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('0.4536.0.1',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X3),meet(X3,meet(X3,X4)))) = join(join(X1,meet(X2,X3)),meet(X3,join(meet(X3,meet(X3,X4)),meet(X2,join(X3,X1))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.4536.0.0','0.9.2.0',theory(equality)]),
% 92.88/93.27 [pos('L','L')]).
% 92.88/93.27 cnf('0.4536.0.2',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X3),meet(X3,X4))) = join(join(X1,meet(X2,X3)),meet(X3,join(meet(X3,meet(X3,X4)),meet(X2,join(X3,X1))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.4536.0.1','0.11.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2','L')]).
% 92.88/93.27 cnf('0.4536.0.3',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X3),meet(X3,X4))) = join(X1,join(meet(X2,X3),meet(X3,join(meet(X3,meet(X3,X4)),meet(X2,join(X3,X1)))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.4536.0.2','0.9.2.0',theory(equality)]),
% 92.88/93.27 [pos('R','L')]).
% 92.88/93.27 cnf('0.4536.0.4',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X3),meet(X3,X4))) = join(X1,meet(X3,join(meet(X3,meet(X3,X4)),meet(X2,join(X3,X1))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.4536.0.3','0.2945.2.0',theory(equality)]),
% 92.88/93.27 [pos('R.2','L')]).
% 92.88/93.27 cnf('0.4536.0.5',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X3),meet(X3,X4))) = join(X1,meet(X3,join(meet(X3,X4),meet(X2,join(X3,X1))))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['0.4536.0.4','0.11.2.0',theory(equality)]),
% 92.88/93.27 [pos('R.2.2.1','L')]).
% 92.88/93.27 cnf('0.4536.1.0',plain,
% 92.88/93.27 ( join(X1,join(meet(X2,X3),meet(X3,X4))) = join(X1,meet(X3,join(meet(X3,X4),meet(X2,join(X3,X1))))) ),
% 92.88/93.27 inference(weigh,[status(thm)],['0.4536.0.5']),
% 92.88/93.27 [weight('<13,3074,808,[1,0,0,2]>')]).
% 92.88/93.27 cnf('0.4536.2.0',plain,
% 92.88/93.27 ( join(X1,meet(X2,join(meet(X2,X3),meet(X4,join(X2,X1))))) = join(X1,join(meet(X4,X2),meet(X2,X3))) ),
% 92.88/93.27 inference(orient,[status(thm)],['0.4536.1.0',theory(equality)]),
% 92.88/93.27 [x,rule_4515]).
% 92.88/93.27 cnf('1.0.0.0',conjecture,
% 92.88/93.27 ( meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) = meet(a,join(b,meet(a,c))) ),
% 92.88/93.27 file('/tmp/WALDMEISTER_18820_n014',conjecture_1)).
% 92.88/93.27 cnf('1.0.0.1',plain,
% 92.88/93.27 ( meet(a,join(b,join(meet(c,a),meet(a,b)))) = meet(a,join(b,meet(a,c))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['1.0.0.0','0.4536.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('1.0.0.2',plain,
% 92.88/93.27 ( meet(a,join(b,meet(c,a))) = meet(a,join(b,meet(a,c))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['1.0.0.1','0.32.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2','L')]).
% 92.88/93.27 cnf('1.0.0.3',plain,
% 92.88/93.27 ( meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(a,c))) ),
% 92.88/93.27 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 92.88/93.27 [pos('L.2.2','L')]).
% 92.88/93.27 cnf('1.0.0.4',plain,
% 92.88/93.27 ( $true ),
% 92.88/93.27 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 92.88/93.27 [conjecture_1]).
% 92.88/93.27
% 92.88/93.27 Proved Goals:
% 92.88/93.27 No. 1: meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) ?= meet(a,join(b,meet(a,c))) joined, current: meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(a,c)))
% 92.88/93.27 1 goal was specified, which was proved.
% 92.88/93.27 % SZS output end CNFRefutation
% 92.88/93.27 #END OF PROOF
% 92.88/93.27
% 92.88/93.27 Problem WALDMEISTER_18820_n014
% 92.88/93.27 CPs.gen 22199011
% 92.88/93.27 CPs.reexp 0
% 92.88/93.27 Select 435599
% 92.88/93.27 R 4515
% 92.88/93.27 E 21
% 92.88/93.27 vsize 12.2M
% 92.88/93.27 rss 7.8M
% 92.88/93.27 process.time 92.277s
% 92.88/93.27 wallclock.time 92.279s
% 92.88/93.27 status S
% 92.88/93.27
% 92.88/93.27
% 92.88/93.27 Waldmeister states: Goal proved.
% 92.88/93.27 % SZS status Unsatisfiable
%------------------------------------------------------------------------------