TSTP Solution File: LAT147-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT147-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n015.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 07:15:22 EDT 2022
% Result : Unsatisfiable 2.03s 2.52s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT147-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n015.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 00:56:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.98 ********************************************************************************
% 0.56/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.98 * |/ | \/ | *
% 0.56/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.98 * A. Jaeger and B. Loechner | | *
% 0.56/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.98 ********************************************************************************
% 0.56/0.98
% 0.56/0.98
% 0.56/0.98 Goals:
% 0.56/0.98 ------
% 0.56/0.98
% 0.56/0.98 ( 1) meet(a,meet(b,join(c,meet(d,join(a,meet(b,c)))))) ?=? meet(a,meet(b,join(c,meet(a,d))))
% 0.56/0.98
% 0.56/0.98 Detected structure: Verband
% 0.56/0.98 ********************************************************************************
% 0.56/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.98 ********************************************************************************
% 0.56/0.98
% 2.03/2.52 joined goal: 1 meet(a,meet(b,join(c,meet(d,join(a,meet(b,c)))))) ?= meet(a,meet(b,join(c,meet(a,d)))) to meet(b,meet(a,join(c,meet(a,d))))
% 2.03/2.52 goal joined
% 2.03/2.52 % SZS status Unsatisfiable
% 2.03/2.52 #START OF PROOF
% 2.03/2.52 % SZS output start CNFRefutation
% 2.03/2.52 cnf('0.1.0.0',axiom,
% 2.03/2.52 ( X1 = meet(X1,X1) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.1.1.0',plain,
% 2.03/2.52 ( X1 = meet(X1,X1) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.03/2.52 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.03/2.52 cnf('0.1.2.0',plain,
% 2.03/2.52 ( meet(X1,X1) = X1 ),
% 2.03/2.52 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_1]).
% 2.03/2.52 cnf('0.2.0.0',axiom,
% 2.03/2.52 ( X1 = meet(X1,join(X1,X2)) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.2.1.0',plain,
% 2.03/2.52 ( X1 = meet(X1,join(X1,X2)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.2.0.0']),
% 2.03/2.52 [weight('<1,0,0,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.2.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X1,X2)) = X1 ),
% 2.03/2.52 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_2]).
% 2.03/2.52 cnf('0.4.0.0',axiom,
% 2.03/2.52 ( X1 = join(X1,meet(X1,X2)) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.4.1.0',plain,
% 2.03/2.52 ( X1 = join(X1,meet(X1,X2)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.4.0.0']),
% 2.03/2.52 [weight('<3,0,0,[0,0,0,4]>')]).
% 2.03/2.52 cnf('0.4.2.0',plain,
% 2.03/2.52 ( join(X1,meet(X1,X2)) = X1 ),
% 2.03/2.52 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_4]).
% 2.03/2.52 cnf('0.5.0.0',axiom,
% 2.03/2.52 ( meet(X1,X2) = meet(X2,X1) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.5.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(X2,X1) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.5.0.0']),
% 2.03/2.52 [weight('<4,0,0,[0,0,0,5]>')]).
% 2.03/2.52 cnf('0.5.2.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(X2,X1) ),
% 2.03/2.52 inference(activate,[status(thm)],['0.5.1.0']),
% 2.03/2.52 [equation_1]).
% 2.03/2.52 cnf('0.6.0.0',axiom,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.6.1.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.03/2.52 [weight('<5,0,0,[0,0,0,6]>')]).
% 2.03/2.52 cnf('0.6.2.0',plain,
% 2.03/2.52 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_5]).
% 2.03/2.52 cnf('0.7.0.0',axiom,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(X3,join(X2,meet(X4,join(X2,X3)))))) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.7.1.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(X3,join(X2,meet(X4,join(X2,X3)))))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.03/2.52 [weight('<6,0,0,[0,0,0,7]>')]).
% 2.03/2.52 cnf('0.7.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,join(X2,meet(X4,join(X2,X3)))))) = meet(X1,join(X2,meet(X3,X4))) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_6]).
% 2.03/2.52 cnf('0.8.0.0',axiom,
% 2.03/2.52 ( join(X1,X2) = join(X2,X1) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.8.1.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X2,X1) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.03/2.52 [weight('<7,0,0,[0,0,0,8]>')]).
% 2.03/2.52 cnf('0.8.2.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X2,X1) ),
% 2.03/2.52 inference(activate,[status(thm)],['0.8.1.0']),
% 2.03/2.52 [equation_2]).
% 2.03/2.52 cnf('0.9.0.0',axiom,
% 2.03/2.52 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015')).
% 2.03/2.52 cnf('0.9.1.0',plain,
% 2.03/2.52 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.03/2.52 [weight('<8,0,0,[0,0,0,9]>')]).
% 2.03/2.52 cnf('0.9.2.0',plain,
% 2.03/2.52 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_7]).
% 2.03/2.52 cnf('0.10.0.0',plain,
% 2.03/2.52 ( X1 = join(X1,meet(X2,X1)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.10.1.0',plain,
% 2.03/2.52 ( X1 = join(X1,meet(X2,X1)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.10.0.0']),
% 2.03/2.52 [weight('<5,5,4,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.10.2.0',plain,
% 2.03/2.52 ( join(X1,meet(X2,X1)) = X1 ),
% 2.03/2.52 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_8]).
% 2.03/2.52 cnf('0.11.0.0',plain,
% 2.03/2.52 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.11.1.0',plain,
% 2.03/2.52 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.11.0.0']),
% 2.03/2.52 [weight('<5,6,1,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.11.2.0',plain,
% 2.03/2.52 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_9]).
% 2.03/2.52 cnf('0.12.0.0',plain,
% 2.03/2.52 ( X1 = meet(X1,join(X2,X1)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.12.1.0',plain,
% 2.03/2.52 ( X1 = meet(X1,join(X2,X1)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.12.0.0']),
% 2.03/2.52 [weight('<5,8,2,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.12.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,X1)) = X1 ),
% 2.03/2.52 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_10]).
% 2.03/2.52 cnf('0.16.0.0',plain,
% 2.03/2.52 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.16.1.0',plain,
% 2.03/2.52 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.16.0.0']),
% 2.03/2.52 [weight('<7,6,2,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.16.2.0',plain,
% 2.03/2.52 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_14]).
% 2.03/2.52 cnf('0.17.0.0',plain,
% 2.03/2.52 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.17.1.0',plain,
% 2.03/2.52 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.17.0.0']),
% 2.03/2.52 [weight('<7,9,4,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.17.2.0',plain,
% 2.03/2.52 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_15]).
% 2.03/2.52 cnf('0.19.0.0',plain,
% 2.03/2.52 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.19.1.0',plain,
% 2.03/2.52 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.19.0.0']),
% 2.03/2.52 [weight('<7,10,9,[0,0,0,1]>')]).
% 2.03/2.52 cnf('0.19.2.0',plain,
% 2.03/2.52 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_17]).
% 2.03/2.52 cnf('0.28.0.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.28.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.28.0.0']),
% 2.03/2.52 [weight('<7,16,5,[1,0,0,2]>')]).
% 2.03/2.52 cnf('0.28.2.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_26]).
% 2.03/2.52 cnf('0.30.0.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.30.1.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.30.0.0']),
% 2.03/2.52 [weight('<7,17,8,[1,0,0,2]>')]).
% 2.03/2.52 cnf('0.30.2.0',plain,
% 2.03/2.52 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_28]).
% 2.03/2.52 cnf('0.34.0.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 2.03/2.52 [pos('L','L')]).
% 2.03/2.52 cnf('0.34.1.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.34.0.0']),
% 2.03/2.52 [weight('<9,6,2,[1,0,0,0]>')]).
% 2.03/2.52 cnf('0.34.2.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_32]).
% 2.03/2.52 cnf('0.38.0.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.10.2.0','0.9.2.0',theory(equality)]),
% 2.03/2.52 [pos('L','L')]).
% 2.03/2.52 cnf('0.38.1.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.38.0.0']),
% 2.03/2.52 [weight('<9,10,9,[1,0,0,0]>')]).
% 2.03/2.52 cnf('0.38.2.0',plain,
% 2.03/2.52 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_36]).
% 2.03/2.52 cnf('0.40.0.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.40.1.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.40.0.0']),
% 2.03/2.52 [weight('<9,16,10,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.40.1.1',plain,
% 2.03/2.52 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.40.1.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','L')]).
% 2.03/2.52 cnf('0.40.2.0',plain,
% 2.03/2.52 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 2.03/2.52 [x,rule_38]).
% 2.03/2.52 cnf('0.41.0.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.40.2.0','0.11.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.41.0.1',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.41.0.0','0.10.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','L')]).
% 2.03/2.52 cnf('0.41.1.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.41.0.1']),
% 2.03/2.52 [weight('<7,40,11,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.41.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_39]).
% 2.03/2.52 cnf('0.42.0.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.41.2.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.42.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.42.0.0']),
% 2.03/2.52 [weight('<7,41,5,[1,0,0,4]>')]).
% 2.03/2.52 cnf('0.42.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_40]).
% 2.03/2.52 cnf('0.43.0.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.43.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.43.0.0']),
% 2.03/2.52 [weight('<7,41,8,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.43.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_41]).
% 2.03/2.52 cnf('0.44.0.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.42.2.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.44.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.44.0.0']),
% 2.03/2.52 [weight('<7,42,8,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.44.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X3,X2)) = meet(X2,X3) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_42]).
% 2.03/2.52 cnf('0.54.0.0',plain,
% 2.03/2.52 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.54.1.0',plain,
% 2.03/2.52 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.54.0.0']),
% 2.03/2.52 [weight('<9,19,12,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.54.1.1',plain,
% 2.03/2.52 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.54.1.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','L')]).
% 2.03/2.52 cnf('0.54.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 2.03/2.52 [x,rule_52]).
% 2.03/2.52 cnf('0.84.0.0',plain,
% 2.03/2.52 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.12.2.0','0.30.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.84.1.0',plain,
% 2.03/2.52 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.84.0.0']),
% 2.03/2.52 [weight('<9,30,12,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.84.1.1',plain,
% 2.03/2.52 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.84.1.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','L')]).
% 2.03/2.52 cnf('0.84.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 2.03/2.52 [x,rule_82]).
% 2.03/2.52 cnf('0.94.0.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.38.2.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2.2.2','L')]).
% 2.03/2.52 cnf('0.94.1.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.94.0.0']),
% 2.03/2.52 [weight('<9,38,8,[1,0,0,6]>')]).
% 2.03/2.52 cnf('0.94.2.0',plain,
% 2.03/2.52 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_92]).
% 2.03/2.52 cnf('0.96.0.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.40.2.0','0.2.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.96.1.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.96.0.0']),
% 2.03/2.52 [weight('<9,40,2,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.96.2.0',plain,
% 2.03/2.52 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_94]).
% 2.03/2.52 cnf('0.101.0.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.43.2.0','0.9.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.101.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.101.0.0']),
% 2.03/2.52 [weight('<9,43,9,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.101.2.0',plain,
% 2.03/2.52 ( meet(join(X1,join(X2,X3)),meet(X3,X4)) = meet(X3,X4) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_99]).
% 2.03/2.52 cnf('0.103.0.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(meet(X3,X2),X4)) = meet(meet(X2,X3),X4) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.6.2.0','0.44.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.103.0.1',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(meet(X2,X3),X4) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.103.0.0','0.6.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.103.0.2',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.103.0.1','0.6.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','L')]).
% 2.03/2.52 cnf('0.103.1.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.103.0.2']),
% 2.03/2.52 [weight('<9,44,6,[0,0,0,1]>')]).
% 2.03/2.52 cnf('0.103.2.0',plain,
% 2.03/2.52 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_101]).
% 2.03/2.52 cnf('0.113.0.0',plain,
% 2.03/2.52 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.54.2.0','0.4.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1','L')]).
% 2.03/2.52 cnf('0.113.1.0',plain,
% 2.03/2.52 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),meet(X2,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.113.0.0']),
% 2.03/2.52 [weight('<9,54,4,[1,0,0,1]>')]).
% 2.03/2.52 cnf('0.113.2.0',plain,
% 2.03/2.52 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_109]).
% 2.03/2.52 cnf('0.125.0.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.94.2.0','0.96.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.125.1.0',plain,
% 2.03/2.52 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.125.0.0']),
% 2.03/2.52 [weight('<9,96,94,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.125.2.0',plain,
% 2.03/2.52 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_121]).
% 2.03/2.52 cnf('0.126.0.0',plain,
% 2.03/2.52 ( meet(meet(X1,X2),X3) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.101.2.0','0.10.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.1.2','L')]).
% 2.03/2.52 cnf('0.126.0.1',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.126.0.0','0.6.2.0',theory(equality)]),
% 2.03/2.52 [pos('L','L')]).
% 2.03/2.52 cnf('0.126.0.2',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.126.0.1','0.6.2.0',theory(equality)]),
% 2.03/2.52 [pos('R.2','L')]).
% 2.03/2.52 cnf('0.126.1.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.126.0.2']),
% 2.03/2.52 [weight('<9,101,10,[1,0,0,3]>')]).
% 2.03/2.52 cnf('0.126.1.1',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.126.1.0','0.103.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','L')]).
% 2.03/2.52 cnf('0.126.2.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 2.03/2.52 inference(activate,[status(thm)],['0.126.1.1']),
% 2.03/2.52 [equation_5]).
% 2.03/2.52 cnf('0.132.0.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.34.2.0','0.113.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.132.1.0',plain,
% 2.03/2.52 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X2,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.132.0.0']),
% 2.03/2.52 [weight('<9,113,34,[0,0,0,2]>')]).
% 2.03/2.52 cnf('0.132.2.0',plain,
% 2.03/2.52 ( meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_126]).
% 2.03/2.52 cnf('0.146.0.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.132.2.0','0.125.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('0.146.1.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,X3)) = meet(X1,join(meet(X1,join(X2,X3)),X2)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.146.0.0']),
% 2.03/2.52 [weight('<9,132,125,[1,0,0,2]>')]).
% 2.03/2.52 cnf('0.146.1.1',plain,
% 2.03/2.52 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,join(X2,X3)))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.146.1.0','0.8.2.0',theory(equality)]),
% 2.03/2.52 [pos('R.2','L')]).
% 2.03/2.52 cnf('0.146.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.146.1.1',theory(equality)]),
% 2.03/2.52 [x,rule_140]).
% 2.03/2.52 cnf('0.152.0.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.146.2.0','0.7.2.0',theory(equality)]),
% 2.03/2.52 [pos('L','L')]).
% 2.03/2.52 cnf('0.152.1.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.152.0.0']),
% 2.03/2.52 [weight('<9,146,7,[1,0,0,0]>')]).
% 2.03/2.52 cnf('0.152.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 2.03/2.52 [u,rule_146]).
% 2.03/2.52 cnf('0.153.0.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.152.2.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2.2','L')]).
% 2.03/2.52 cnf('0.153.1.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(join(X2,X1),X3))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.153.0.0']),
% 2.03/2.52 [weight('<9,152,5,[1,0,0,4]>')]).
% 2.03/2.52 cnf('0.153.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(join(X2,X1),X3))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_147]).
% 2.03/2.52 cnf('0.156.0.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L','L')]).
% 2.03/2.52 cnf('0.156.1.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.156.0.0']),
% 2.03/2.52 [weight('<10,6,5,[1,0,0,0]>')]).
% 2.03/2.52 cnf('0.156.2.0',plain,
% 2.03/2.52 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 2.03/2.52 inference(activate,[status(thm)],['0.156.1.0']),
% 2.03/2.52 [equation_7]).
% 2.03/2.52 cnf('0.598.0.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,meet(X3,X4)))) = meet(X1,join(X2,meet(X3,meet(join(X2,X1),X4)))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.153.2.0','0.126.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2.2','L')]).
% 2.03/2.52 cnf('0.598.1.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,meet(X3,X4)))) = meet(X1,join(X2,meet(X3,meet(join(X2,X1),X4)))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.598.0.0']),
% 2.03/2.52 [weight('<11,153,126,[1,0,0,4]>')]).
% 2.03/2.52 cnf('0.598.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,meet(join(X2,X1),X4)))) = meet(X1,join(X2,meet(X1,meet(X3,X4)))) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.598.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_590]).
% 2.03/2.52 cnf('0.765.0.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,meet(X3,join(X1,meet(X2,X4)))))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 2.03/2.52 inference(cp,[status(thm)],['0.598.2.0','0.84.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2.2.2','L')]).
% 2.03/2.52 cnf('0.765.0.1',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['0.765.0.0','0.28.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2.2','L')]).
% 2.03/2.52 cnf('0.765.1.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 2.03/2.52 inference(weigh,[status(thm)],['0.765.0.1']),
% 2.03/2.52 [weight('<11,598,84,[1,0,0,6]>')]).
% 2.03/2.52 cnf('0.765.2.0',plain,
% 2.03/2.52 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X1,X3))) ),
% 2.03/2.52 inference(orient,[status(thm)],['0.765.1.0',theory(equality)]),
% 2.03/2.52 [x,rule_757]).
% 2.03/2.52 cnf('1.0.0.0',conjecture,
% 2.03/2.52 ( meet(a,meet(b,join(c,meet(d,join(a,meet(b,c)))))) = meet(a,meet(b,join(c,meet(a,d)))) ),
% 2.03/2.52 file('/tmp/WALDMEISTER_29017_n015',conjecture_1)).
% 2.03/2.52 cnf('1.0.0.1',plain,
% 2.03/2.52 ( meet(b,meet(join(c,meet(d,join(a,meet(b,c)))),a)) = meet(a,meet(b,join(c,meet(a,d)))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['1.0.0.0','0.156.2.0',theory(equality)]),
% 2.03/2.52 [pos('L','R')]).
% 2.03/2.52 cnf('1.0.0.2',plain,
% 2.03/2.52 ( meet(b,meet(a,join(c,meet(d,join(a,meet(b,c)))))) = meet(a,meet(b,join(c,meet(a,d)))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('1.0.0.3',plain,
% 2.03/2.52 ( meet(b,meet(a,join(c,meet(d,join(a,meet(c,b)))))) = meet(a,meet(b,join(c,meet(a,d)))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['1.0.0.2','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2.2.2.2.2','L')]).
% 2.03/2.52 cnf('1.0.0.4',plain,
% 2.03/2.52 ( meet(b,meet(a,join(c,meet(a,d)))) = meet(a,meet(b,join(c,meet(a,d)))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['1.0.0.3','0.765.2.0',theory(equality)]),
% 2.03/2.52 [pos('L.2','L')]).
% 2.03/2.52 cnf('1.0.0.5',plain,
% 2.03/2.52 ( meet(b,meet(a,join(c,meet(a,d)))) = meet(b,meet(join(c,meet(a,d)),a)) ),
% 2.03/2.52 inference(reduction,[status(thm)],['1.0.0.4','0.156.2.0',theory(equality)]),
% 2.03/2.52 [pos('R','R')]).
% 2.03/2.52 cnf('1.0.0.6',plain,
% 2.03/2.52 ( meet(b,meet(a,join(c,meet(a,d)))) = meet(b,meet(a,join(c,meet(a,d)))) ),
% 2.03/2.52 inference(reduction,[status(thm)],['1.0.0.5','0.5.2.0',theory(equality)]),
% 2.03/2.52 [pos('R.2','L')]).
% 2.03/2.52 cnf('1.0.0.7',plain,
% 2.03/2.52 ( $true ),
% 2.03/2.52 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 2.03/2.52 [conjecture_1]).
% 2.03/2.52
% 2.03/2.52 Proved Goals:
% 2.03/2.52 No. 1: meet(a,meet(b,join(c,meet(d,join(a,meet(b,c)))))) ?= meet(a,meet(b,join(c,meet(a,d)))) joined, current: meet(b,meet(a,join(c,meet(a,d)))) = meet(b,meet(a,join(c,meet(a,d))))
% 2.03/2.52 1 goal was specified, which was proved.
% 2.03/2.52 % SZS output end CNFRefutation
% 2.03/2.52 #END OF PROOF
% 2.03/2.52
% 2.03/2.52 Problem WALDMEISTER_29017_n015
% 2.03/2.52 CPs.gen 490802
% 2.03/2.52 CPs.reexp 0
% 2.03/2.52 Select 21774
% 2.03/2.52 R 757
% 2.03/2.52 E 8
% 2.03/2.52 vsize 8.6M
% 2.03/2.52 rss 4.1M
% 2.03/2.52 process.time 1.540s
% 2.03/2.52 wallclock.time 1.540s
% 2.03/2.52 status S
% 2.03/2.52
% 2.03/2.52
% 2.03/2.52 Waldmeister states: Goal proved.
% 2.03/2.52 % SZS status Unsatisfiable
%------------------------------------------------------------------------------