TSTP Solution File: LAT158-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT158-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n013.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 07:15:26 EDT 2022
% Result : Unsatisfiable 72.23s 72.68s
% Output : CNFRefutation 72.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT158-1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 02:11:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/1.03 ********************************************************************************
% 0.61/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.03 * |/ | \/ | *
% 0.61/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.03 * A. Jaeger and B. Loechner | | *
% 0.61/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.03 ********************************************************************************
% 0.61/1.03
% 0.61/1.03
% 0.61/1.03 Goals:
% 0.61/1.03 ------
% 0.61/1.03
% 0.61/1.03 ( 1) meet(a,join(b,meet(c,join(a,d)))) ?=? meet(a,join(b,join(meet(a,c),meet(c,join(b,d)))))
% 0.61/1.03
% 0.61/1.03 Detected structure: Verband
% 0.61/1.03 ********************************************************************************
% 0.61/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.03 ********************************************************************************
% 0.61/1.03
% 72.23/72.68 joined goal: 1 meet(a,join(b,meet(c,join(a,d)))) ?= meet(a,join(b,join(meet(a,c),meet(c,join(b,d))))) to meet(a,join(b,meet(c,join(d,a))))
% 72.23/72.68 goal joined
% 72.23/72.68 % SZS status Unsatisfiable
% 72.23/72.68 #START OF PROOF
% 72.23/72.68 % SZS output start CNFRefutation
% 72.23/72.68 cnf('0.1.0.0',axiom,
% 72.23/72.68 ( X1 = meet(X1,X1) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.1.1.0',plain,
% 72.23/72.68 ( X1 = meet(X1,X1) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.1.0.0']),
% 72.23/72.68 [weight('<0,0,0,[0,0,0,1]>')]).
% 72.23/72.68 cnf('0.1.2.0',plain,
% 72.23/72.68 ( meet(X1,X1) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_1]).
% 72.23/72.68 cnf('0.2.0.0',axiom,
% 72.23/72.68 ( X1 = meet(X1,join(X1,X2)) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.2.1.0',plain,
% 72.23/72.68 ( X1 = meet(X1,join(X1,X2)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.2.0.0']),
% 72.23/72.68 [weight('<1,0,0,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.2.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X1,X2)) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_2]).
% 72.23/72.68 cnf('0.3.0.0',axiom,
% 72.23/72.68 ( X1 = join(X1,X1) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.3.1.0',plain,
% 72.23/72.68 ( X1 = join(X1,X1) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.3.0.0']),
% 72.23/72.68 [weight('<2,0,0,[0,0,0,3]>')]).
% 72.23/72.68 cnf('0.3.2.0',plain,
% 72.23/72.68 ( join(X1,X1) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_3]).
% 72.23/72.68 cnf('0.4.0.0',axiom,
% 72.23/72.68 ( X1 = join(X1,meet(X1,X2)) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.4.1.0',plain,
% 72.23/72.68 ( X1 = join(X1,meet(X1,X2)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.4.0.0']),
% 72.23/72.68 [weight('<3,0,0,[0,0,0,4]>')]).
% 72.23/72.68 cnf('0.4.2.0',plain,
% 72.23/72.68 ( join(X1,meet(X1,X2)) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_4]).
% 72.23/72.68 cnf('0.5.0.0',axiom,
% 72.23/72.68 ( meet(X1,X2) = meet(X2,X1) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.5.1.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X2,X1) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.5.0.0']),
% 72.23/72.68 [weight('<4,0,0,[0,0,0,5]>')]).
% 72.23/72.68 cnf('0.5.2.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X2,X1) ),
% 72.23/72.68 inference(activate,[status(thm)],['0.5.1.0']),
% 72.23/72.68 [equation_1]).
% 72.23/72.68 cnf('0.6.0.0',axiom,
% 72.23/72.68 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.6.1.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.6.0.0']),
% 72.23/72.68 [weight('<5,0,0,[0,0,0,6]>')]).
% 72.23/72.68 cnf('0.6.2.0',plain,
% 72.23/72.68 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_5]).
% 72.23/72.68 cnf('0.7.0.0',axiom,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.7.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.7.0.0']),
% 72.23/72.68 [weight('<6,0,0,[0,0,0,7]>')]).
% 72.23/72.68 cnf('0.7.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_6]).
% 72.23/72.68 cnf('0.8.0.0',axiom,
% 72.23/72.68 ( join(X1,X2) = join(X2,X1) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.8.1.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X2,X1) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.8.0.0']),
% 72.23/72.68 [weight('<7,0,0,[0,0,0,8]>')]).
% 72.23/72.68 cnf('0.8.2.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X2,X1) ),
% 72.23/72.68 inference(activate,[status(thm)],['0.8.1.0']),
% 72.23/72.68 [equation_2]).
% 72.23/72.68 cnf('0.9.0.0',axiom,
% 72.23/72.68 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013')).
% 72.23/72.68 cnf('0.9.1.0',plain,
% 72.23/72.68 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.9.0.0']),
% 72.23/72.68 [weight('<8,0,0,[0,0,0,9]>')]).
% 72.23/72.68 cnf('0.9.2.0',plain,
% 72.23/72.68 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_7]).
% 72.23/72.68 cnf('0.10.0.0',plain,
% 72.23/72.68 ( X1 = join(X1,meet(X2,X1)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.10.1.0',plain,
% 72.23/72.68 ( X1 = join(X1,meet(X2,X1)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.10.0.0']),
% 72.23/72.68 [weight('<5,5,4,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.10.2.0',plain,
% 72.23/72.68 ( join(X1,meet(X2,X1)) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_8]).
% 72.23/72.68 cnf('0.11.0.0',plain,
% 72.23/72.68 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.11.1.0',plain,
% 72.23/72.68 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.11.0.0']),
% 72.23/72.68 [weight('<5,6,1,[1,0,0,1]>')]).
% 72.23/72.68 cnf('0.11.2.0',plain,
% 72.23/72.68 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_9]).
% 72.23/72.68 cnf('0.12.0.0',plain,
% 72.23/72.68 ( X1 = meet(X1,join(X2,X1)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.12.1.0',plain,
% 72.23/72.68 ( X1 = meet(X1,join(X2,X1)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.12.0.0']),
% 72.23/72.68 [weight('<5,8,2,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.12.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,X1)) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_10]).
% 72.23/72.68 cnf('0.13.0.0',plain,
% 72.23/72.68 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.13.1.0',plain,
% 72.23/72.68 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.13.0.0']),
% 72.23/72.68 [weight('<5,9,3,[1,0,0,1]>')]).
% 72.23/72.68 cnf('0.13.2.0',plain,
% 72.23/72.68 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_11]).
% 72.23/72.68 cnf('0.15.0.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.15.1.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.15.0.0']),
% 72.23/72.68 [weight('<5,11,5,[1,0,0,2]>')]).
% 72.23/72.68 cnf('0.15.2.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_13]).
% 72.23/72.68 cnf('0.18.0.0',plain,
% 72.23/72.68 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.18.1.0',plain,
% 72.23/72.68 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.18.0.0']),
% 72.23/72.68 [weight('<7,10,6,[1,0,0,2]>')]).
% 72.23/72.68 cnf('0.18.2.0',plain,
% 72.23/72.68 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 72.23/72.68 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_16]).
% 72.23/72.68 cnf('0.19.0.0',plain,
% 72.23/72.68 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.19.1.0',plain,
% 72.23/72.68 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.19.0.0']),
% 72.23/72.68 [weight('<7,10,9,[0,0,0,1]>')]).
% 72.23/72.68 cnf('0.19.2.0',plain,
% 72.23/72.68 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_17]).
% 72.23/72.68 cnf('0.20.0.0',plain,
% 72.23/72.68 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.20.1.0',plain,
% 72.23/72.68 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.20.0.0']),
% 72.23/72.68 [weight('<7,12,6,[0,0,0,1]>')]).
% 72.23/72.68 cnf('0.20.2.0',plain,
% 72.23/72.68 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_18]).
% 72.23/72.68 cnf('0.25.0.0',plain,
% 72.23/72.68 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.6.2.0','0.15.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.25.0.1',plain,
% 72.23/72.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.25.0.0','0.6.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.25.0.2',plain,
% 72.23/72.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.25.0.1','0.6.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('0.25.1.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.25.0.2']),
% 72.23/72.68 [weight('<7,15,6,[0,0,0,1]>')]).
% 72.23/72.68 cnf('0.25.2.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_23]).
% 72.23/72.68 cnf('0.34.0.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 72.23/72.68 [pos('L','L')]).
% 72.23/72.68 cnf('0.34.1.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.34.0.0']),
% 72.23/72.68 [weight('<9,6,2,[1,0,0,0]>')]).
% 72.23/72.68 cnf('0.34.2.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_32]).
% 72.23/72.68 cnf('0.38.0.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 72.23/72.68 [pos('L','L')]).
% 72.23/72.68 cnf('0.38.1.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.38.0.0']),
% 72.23/72.68 [weight('<9,10,9,[1,0,0,0]>')]).
% 72.23/72.68 cnf('0.38.2.0',plain,
% 72.23/72.68 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_36]).
% 72.23/72.68 cnf('0.39.0.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 72.23/72.68 [pos('L','L')]).
% 72.23/72.68 cnf('0.39.1.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.39.0.0']),
% 72.23/72.68 [weight('<9,12,6,[1,0,0,0]>')]).
% 72.23/72.68 cnf('0.39.2.0',plain,
% 72.23/72.68 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_37]).
% 72.23/72.68 cnf('0.54.0.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.54.1.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.54.0.0']),
% 72.23/72.68 [weight('<9,19,12,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.54.1.1',plain,
% 72.23/72.68 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('0.54.2.0',plain,
% 72.23/72.68 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 72.23/72.68 [x,rule_52]).
% 72.23/72.68 cnf('0.58.0.0',plain,
% 72.23/72.68 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.58.1.0',plain,
% 72.23/72.68 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.58.0.0']),
% 72.23/72.68 [weight('<9,20,10,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.58.1.1',plain,
% 72.23/72.68 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.58.1.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('0.58.2.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.58.1.1',theory(equality)]),
% 72.23/72.68 [x,rule_56]).
% 72.23/72.68 cnf('0.75.0.0',plain,
% 72.23/72.68 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.18.2.0','0.25.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.75.1.0',plain,
% 72.23/72.68 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.75.0.0']),
% 72.23/72.68 [weight('<9,25,18,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.75.2.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_73]).
% 72.23/72.68 cnf('0.94.0.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.38.2.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2','L')]).
% 72.23/72.68 cnf('0.94.1.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.94.0.0']),
% 72.23/72.68 [weight('<9,38,8,[1,0,0,6]>')]).
% 72.23/72.68 cnf('0.94.2.0',plain,
% 72.23/72.68 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_92]).
% 72.23/72.68 cnf('0.115.0.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.54.2.0','0.10.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.115.1.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.115.0.0']),
% 72.23/72.68 [weight('<9,54,10,[1,0,0,1]>')]).
% 72.23/72.68 cnf('0.115.2.0',plain,
% 72.23/72.68 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_111]).
% 72.23/72.68 cnf('0.116.0.0',plain,
% 72.23/72.68 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.58.2.0','0.2.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.1','L')]).
% 72.23/72.68 cnf('0.116.1.0',plain,
% 72.23/72.68 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.116.0.0']),
% 72.23/72.68 [weight('<9,58,2,[1,0,0,1]>')]).
% 72.23/72.68 cnf('0.116.2.0',plain,
% 72.23/72.68 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_112]).
% 72.23/72.68 cnf('0.134.0.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.34.2.0','0.115.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.134.1.0',plain,
% 72.23/72.68 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.134.0.0']),
% 72.23/72.68 [weight('<9,115,34,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.134.2.0',plain,
% 72.23/72.68 ( meet(X1,join(meet(X1,X2),meet(X3,X2))) = meet(X1,X2) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.134.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_128]).
% 72.23/72.68 cnf('0.137.0.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X2,X1))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.94.2.0','0.116.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.137.1.0',plain,
% 72.23/72.68 ( join(X1,X2) = join(X1,meet(join(X3,X2),join(X2,X1))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.137.0.0']),
% 72.23/72.68 [weight('<9,116,94,[0,0,0,2]>')]).
% 72.23/72.68 cnf('0.137.2.0',plain,
% 72.23/72.68 ( join(X1,meet(join(X2,X3),join(X3,X1))) = join(X1,X3) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.137.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_131]).
% 72.23/72.68 cnf('0.149.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.134.2.0','0.12.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2','L')]).
% 72.23/72.68 cnf('0.149.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X3)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.149.0.0']),
% 72.23/72.68 [weight('<9,134,12,[1,0,0,6]>')]).
% 72.23/72.68 cnf('0.149.1.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,join(X2,X3)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.149.1.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('R.2','L')]).
% 72.23/72.68 cnf('0.149.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X1,join(X3,X2)))) = meet(X1,join(X3,X2)) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.149.1.1',theory(equality)]),
% 72.23/72.68 [x,rule_143]).
% 72.23/72.68 cnf('0.152.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,X1)))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.7.2.0','0.149.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2','L')]).
% 72.23/72.68 cnf('0.152.0.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.152.0.0','0.3.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2','L')]).
% 72.23/72.68 cnf('0.152.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.152.0.1']),
% 72.23/72.68 [weight('<9,149,7,[0,0,0,4]>')]).
% 72.23/72.68 cnf('0.152.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_146]).
% 72.23/72.68 cnf('0.154.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.152.2.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2','L')]).
% 72.23/72.68 cnf('0.154.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.154.0.0']),
% 72.23/72.68 [weight('<9,152,8,[1,0,0,6]>')]).
% 72.23/72.68 cnf('0.154.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_148]).
% 72.23/72.68 cnf('0.159.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2.2.2','L')]).
% 72.23/72.68 cnf('0.159.0.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.159.0.0','0.7.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('0.159.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.159.0.1']),
% 72.23/72.68 [weight('<11,13,7,[0,0,0,10]>')]).
% 72.23/72.68 cnf('0.159.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.159.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_151]).
% 72.23/72.68 cnf('0.323.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.75.2.0','0.39.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.323.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.323.0.0']),
% 72.23/72.68 [weight('<11,75,39,[1,0,0,4]>')]).
% 72.23/72.68 cnf('0.323.1.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X3),meet(X1,join(X2,meet(X1,X3)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.323.1.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('0.323.2.0',plain,
% 72.23/72.68 ( join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.323.1.1',theory(equality)]),
% 72.23/72.68 [x,rule_315]).
% 72.23/72.68 cnf('0.616.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.159.2.0','0.4.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2.2','L')]).
% 72.23/72.68 cnf('0.616.0.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.616.0.0','0.154.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('0.616.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.616.0.1']),
% 72.23/72.68 [weight('<11,159,4,[1,0,0,8]>')]).
% 72.23/72.68 cnf('0.616.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,X1))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.616.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_608]).
% 72.23/72.68 cnf('0.770.0.0',plain,
% 72.23/72.68 ( meet(X1,join(join(X2,X3),meet(X4,X1))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.616.2.0','0.137.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2','L')]).
% 72.23/72.68 cnf('0.770.0.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(join(X2,X3),meet(X4,join(X1,X3)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.770.0.0','0.9.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2','L')]).
% 72.23/72.68 cnf('0.770.0.2',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.770.0.1','0.9.2.0',theory(equality)]),
% 72.23/72.68 [pos('R.2','L')]).
% 72.23/72.68 cnf('0.770.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(X3,meet(X4,X1)))) = meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.770.0.2']),
% 72.23/72.68 [weight('<11,616,137,[1,0,0,6]>')]).
% 72.23/72.68 cnf('0.770.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) = meet(X1,join(X2,join(X3,meet(X4,X1)))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.770.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_762]).
% 72.23/72.68 cnf('0.782.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.770.2.0','0.323.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2','L')]).
% 72.23/72.68 cnf('0.782.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.782.0.0']),
% 72.23/72.68 [weight('<11,770,323,[1,0,0,4]>')]).
% 72.23/72.68 cnf('0.782.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = meet(X1,join(X2,join(meet(X3,X4),meet(X3,X1)))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.782.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_774]).
% 72.23/72.68 cnf('0.808.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,meet(X3,join(X2,X4)))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 72.23/72.68 cnf('0.808.0.1',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(meet(X3,join(X2,X4)),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['0.808.0.0','0.782.2.0',theory(equality)]),
% 72.23/72.68 [pos('L','L')]).
% 72.23/72.68 cnf('0.808.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(meet(X3,join(X2,X4)),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.808.0.1']),
% 72.23/72.68 [weight('<13,7,782,[0,0,0,0]>')]).
% 72.23/72.68 cnf('0.808.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(meet(X3,join(X2,X4)),meet(X3,X1)))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.808.1.0',theory(equality)]),
% 72.23/72.68 [u,rule_800]).
% 72.23/72.68 cnf('0.3968.0.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X3,X1),meet(X3,join(X2,X4))))) ),
% 72.23/72.68 inference(cp,[status(thm)],['0.808.2.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2','L')]).
% 72.23/72.68 cnf('0.3968.1.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,join(meet(X3,X1),meet(X3,join(X2,X4))))) ),
% 72.23/72.68 inference(weigh,[status(thm)],['0.3968.0.0']),
% 72.23/72.68 [weight('<13,808,8,[1,0,0,4]>')]).
% 72.23/72.68 cnf('0.3968.2.0',plain,
% 72.23/72.68 ( meet(X1,join(X2,join(meet(X3,X1),meet(X3,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))) ),
% 72.23/72.68 inference(orient,[status(thm)],['0.3968.1.0',theory(equality)]),
% 72.23/72.68 [x,rule_3957]).
% 72.23/72.68 cnf('1.0.0.0',conjecture,
% 72.23/72.68 ( meet(a,join(b,meet(c,join(a,d)))) = meet(a,join(b,join(meet(a,c),meet(c,join(b,d))))) ),
% 72.23/72.68 file('/tmp/WALDMEISTER_28590_n013',conjecture_1)).
% 72.23/72.68 cnf('1.0.0.1',plain,
% 72.23/72.68 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,join(meet(a,c),meet(c,join(b,d))))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('L.2.2.2','L')]).
% 72.23/72.68 cnf('1.0.0.2',plain,
% 72.23/72.68 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,join(meet(c,a),meet(c,join(b,d))))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 72.23/72.68 [pos('R.2.2.1','L')]).
% 72.23/72.68 cnf('1.0.0.3',plain,
% 72.23/72.68 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,meet(c,join(a,d)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['1.0.0.2','0.3968.2.0',theory(equality)]),
% 72.23/72.68 [pos('R','L')]).
% 72.23/72.68 cnf('1.0.0.4',plain,
% 72.23/72.68 ( meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,meet(c,join(d,a)))) ),
% 72.23/72.68 inference(reduction,[status(thm)],['1.0.0.3','0.8.2.0',theory(equality)]),
% 72.23/72.68 [pos('R.2.2.2','L')]).
% 72.23/72.68 cnf('1.0.0.5',plain,
% 72.23/72.68 ( $true ),
% 72.23/72.68 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 72.23/72.68 [conjecture_1]).
% 72.23/72.68
% 72.23/72.68 Proved Goals:
% 72.23/72.68 No. 1: meet(a,join(b,meet(c,join(a,d)))) ?= meet(a,join(b,join(meet(a,c),meet(c,join(b,d))))) joined, current: meet(a,join(b,meet(c,join(d,a)))) = meet(a,join(b,meet(c,join(d,a))))
% 72.23/72.68 1 goal was specified, which was proved.
% 72.23/72.68 % SZS output end CNFRefutation
% 72.23/72.68 #END OF PROOF
% 72.23/72.68
% 72.23/72.68 Problem WALDMEISTER_28590_n013
% 72.23/72.68 CPs.gen 16383676
% 72.23/72.68 CPs.reexp 0
% 72.23/72.68 Select 275201
% 72.23/72.68 R 3957
% 72.23/72.68 E 11
% 72.23/72.68 vsize 11.3M
% 72.23/72.68 rss 7.0M
% 72.23/72.68 process.time 71.653s
% 72.23/72.68 wallclock.time 71.648s
% 72.23/72.68 status S
% 72.23/72.68
% 72.23/72.68
% 72.23/72.68 Waldmeister states: Goal proved.
% 72.23/72.68 % SZS status Unsatisfiable
%------------------------------------------------------------------------------