TSTP Solution File: LAT166-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT166-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 07:15:28 EDT 2022
% Result : Unsatisfiable 81.25s 81.64s
% Output : CNFRefutation 81.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT166-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : woody %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 04:01:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) meet(a,join(b,meet(c,join(b,d)))) ?=? meet(a,join(b,meet(c,join(d,meet(b,join(a,d))))))
% 0.57/0.97
% 0.57/0.97 Detected structure: Verband
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 81.25/81.64 joined goal: 1 meet(a,join(b,meet(c,join(b,d)))) ?= meet(a,join(b,meet(c,join(d,meet(b,join(a,d)))))) to meet(a,join(b,meet(c,join(d,b))))
% 81.25/81.64 goal joined
% 81.25/81.64 % SZS status Unsatisfiable
% 81.25/81.64 #START OF PROOF
% 81.25/81.64 % SZS output start CNFRefutation
% 81.25/81.64 cnf('0.1.0.0',axiom,
% 81.25/81.64 ( X1 = meet(X1,X1) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.1.1.0',plain,
% 81.25/81.64 ( X1 = meet(X1,X1) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.1.0.0']),
% 81.25/81.64 [weight('<0,0,0,[0,0,0,1]>')]).
% 81.25/81.64 cnf('0.1.2.0',plain,
% 81.25/81.64 ( meet(X1,X1) = X1 ),
% 81.25/81.64 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_1]).
% 81.25/81.64 cnf('0.2.0.0',axiom,
% 81.25/81.64 ( X1 = meet(X1,join(X1,X2)) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.2.1.0',plain,
% 81.25/81.64 ( X1 = meet(X1,join(X1,X2)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.2.0.0']),
% 81.25/81.64 [weight('<1,0,0,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.2.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X1,X2)) = X1 ),
% 81.25/81.64 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_2]).
% 81.25/81.64 cnf('0.4.0.0',axiom,
% 81.25/81.64 ( X1 = join(X1,meet(X1,X2)) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.4.1.0',plain,
% 81.25/81.64 ( X1 = join(X1,meet(X1,X2)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.4.0.0']),
% 81.25/81.64 [weight('<3,0,0,[0,0,0,4]>')]).
% 81.25/81.64 cnf('0.4.2.0',plain,
% 81.25/81.64 ( join(X1,meet(X1,X2)) = X1 ),
% 81.25/81.64 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_4]).
% 81.25/81.64 cnf('0.5.0.0',axiom,
% 81.25/81.64 ( meet(X1,X2) = meet(X2,X1) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.5.1.0',plain,
% 81.25/81.64 ( meet(X1,X2) = meet(X2,X1) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.5.0.0']),
% 81.25/81.64 [weight('<4,0,0,[0,0,0,5]>')]).
% 81.25/81.64 cnf('0.5.2.0',plain,
% 81.25/81.64 ( meet(X1,X2) = meet(X2,X1) ),
% 81.25/81.64 inference(activate,[status(thm)],['0.5.1.0']),
% 81.25/81.64 [equation_1]).
% 81.25/81.64 cnf('0.6.0.0',axiom,
% 81.25/81.64 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.6.1.0',plain,
% 81.25/81.64 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.6.0.0']),
% 81.25/81.64 [weight('<5,0,0,[0,0,0,6]>')]).
% 81.25/81.64 cnf('0.6.2.0',plain,
% 81.25/81.64 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_5]).
% 81.25/81.64 cnf('0.7.0.0',axiom,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,meet(X2,X3)))))) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.7.1.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,meet(X2,X3)))))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.7.0.0']),
% 81.25/81.64 [weight('<6,0,0,[0,0,0,7]>')]).
% 81.25/81.64 cnf('0.7.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,meet(X2,X3)))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_6]).
% 81.25/81.64 cnf('0.8.0.0',axiom,
% 81.25/81.64 ( join(X1,X2) = join(X2,X1) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.8.1.0',plain,
% 81.25/81.64 ( join(X1,X2) = join(X2,X1) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.8.0.0']),
% 81.25/81.64 [weight('<7,0,0,[0,0,0,8]>')]).
% 81.25/81.64 cnf('0.8.2.0',plain,
% 81.25/81.64 ( join(X1,X2) = join(X2,X1) ),
% 81.25/81.64 inference(activate,[status(thm)],['0.8.1.0']),
% 81.25/81.64 [equation_2]).
% 81.25/81.64 cnf('0.9.0.0',axiom,
% 81.25/81.64 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007')).
% 81.25/81.64 cnf('0.9.1.0',plain,
% 81.25/81.64 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.9.0.0']),
% 81.25/81.64 [weight('<8,0,0,[0,0,0,9]>')]).
% 81.25/81.64 cnf('0.9.2.0',plain,
% 81.25/81.64 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_7]).
% 81.25/81.64 cnf('0.10.0.0',plain,
% 81.25/81.64 ( X1 = join(X1,meet(X2,X1)) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.10.1.0',plain,
% 81.25/81.64 ( X1 = join(X1,meet(X2,X1)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.10.0.0']),
% 81.25/81.64 [weight('<5,5,4,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.10.2.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,X1)) = X1 ),
% 81.25/81.64 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_8]).
% 81.25/81.64 cnf('0.11.0.0',plain,
% 81.25/81.64 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.1','L')]).
% 81.25/81.64 cnf('0.11.1.0',plain,
% 81.25/81.64 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.11.0.0']),
% 81.25/81.64 [weight('<5,6,1,[1,0,0,1]>')]).
% 81.25/81.64 cnf('0.11.2.0',plain,
% 81.25/81.64 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_9]).
% 81.25/81.64 cnf('0.12.0.0',plain,
% 81.25/81.64 ( X1 = meet(X1,join(X2,X1)) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.12.1.0',plain,
% 81.25/81.64 ( X1 = meet(X1,join(X2,X1)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.12.0.0']),
% 81.25/81.64 [weight('<5,8,2,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.12.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,X1)) = X1 ),
% 81.25/81.64 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_10]).
% 81.25/81.64 cnf('0.16.0.0',plain,
% 81.25/81.64 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.1','L')]).
% 81.25/81.64 cnf('0.16.1.0',plain,
% 81.25/81.64 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.16.0.0']),
% 81.25/81.64 [weight('<7,6,2,[1,0,0,1]>')]).
% 81.25/81.64 cnf('0.16.2.0',plain,
% 81.25/81.64 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_14]).
% 81.25/81.64 cnf('0.17.0.0',plain,
% 81.25/81.64 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.1','L')]).
% 81.25/81.64 cnf('0.17.1.0',plain,
% 81.25/81.64 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.17.0.0']),
% 81.25/81.64 [weight('<7,9,4,[1,0,0,1]>')]).
% 81.25/81.64 cnf('0.17.2.0',plain,
% 81.25/81.64 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_15]).
% 81.25/81.64 cnf('0.19.0.0',plain,
% 81.25/81.64 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.1','L')]).
% 81.25/81.64 cnf('0.19.1.0',plain,
% 81.25/81.64 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.19.0.0']),
% 81.25/81.64 [weight('<7,10,9,[0,0,0,1]>')]).
% 81.25/81.64 cnf('0.19.2.0',plain,
% 81.25/81.64 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_17]).
% 81.25/81.64 cnf('0.30.0.0',plain,
% 81.25/81.64 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.30.1.0',plain,
% 81.25/81.64 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.30.0.0']),
% 81.25/81.64 [weight('<7,17,8,[1,0,0,2]>')]).
% 81.25/81.64 cnf('0.30.2.0',plain,
% 81.25/81.64 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_28]).
% 81.25/81.64 cnf('0.41.0.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.41.1.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.41.0.0']),
% 81.25/81.64 [weight('<9,16,10,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.41.1.1',plain,
% 81.25/81.64 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.41.1.0','0.8.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('0.41.2.0',plain,
% 81.25/81.64 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 81.25/81.64 [x,rule_39]).
% 81.25/81.64 cnf('0.42.0.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.41.2.0','0.11.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.1','L')]).
% 81.25/81.64 cnf('0.42.0.1',plain,
% 81.25/81.64 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.42.0.0','0.10.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('0.42.1.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.42.0.1']),
% 81.25/81.64 [weight('<7,41,11,[1,0,0,1]>')]).
% 81.25/81.64 cnf('0.42.2.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_40]).
% 81.25/81.64 cnf('0.43.0.0',plain,
% 81.25/81.64 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.42.2.0','0.5.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.43.1.0',plain,
% 81.25/81.64 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.43.0.0']),
% 81.25/81.64 [weight('<7,42,5,[1,0,0,4]>')]).
% 81.25/81.64 cnf('0.43.2.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_41]).
% 81.25/81.64 cnf('0.85.0.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.12.2.0','0.30.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.85.1.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.85.0.0']),
% 81.25/81.64 [weight('<9,30,12,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.85.1.1',plain,
% 81.25/81.64 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.85.1.0','0.5.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('0.85.2.0',plain,
% 81.25/81.64 ( meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.85.1.1',theory(equality)]),
% 81.25/81.64 [x,rule_83]).
% 81.25/81.64 cnf('0.127.0.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(join(X2,X1),meet(X1,X2))))) = meet(join(X2,X1),join(X1,meet(X2,join(X1,X3)))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.85.2.0','0.7.2.0',theory(equality)]),
% 81.25/81.64 [pos('L','L')]).
% 81.25/81.64 cnf('0.127.0.1',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(join(X2,X1),join(X1,meet(X2,join(X1,X3)))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.127.0.0','0.43.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2.2.2','L')]).
% 81.25/81.64 cnf('0.127.0.2',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.127.0.1','0.85.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('0.127.1.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.127.0.2']),
% 81.25/81.64 [weight('<9,85,7,[1,0,0,0]>')]).
% 81.25/81.64 cnf('0.127.2.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_123]).
% 81.25/81.64 cnf('0.147.0.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.127.2.0','0.5.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2.2.2','L')]).
% 81.25/81.64 cnf('0.147.1.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.147.0.0']),
% 81.25/81.64 [weight('<9,127,5,[1,0,0,6]>')]).
% 81.25/81.64 cnf('0.147.2.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X1,X2)))) = join(X1,meet(X2,join(X1,X3))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_141]).
% 81.25/81.64 cnf('0.595.0.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(meet(X4,X1),X2)))) = join(X1,join(meet(X4,X1),meet(X2,join(meet(X4,X1),X3)))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.19.2.0','0.147.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.595.0.1',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,join(meet(X4,X1),meet(X2,join(meet(X4,X1),X3)))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.595.0.0','0.6.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2.2.2','L')]).
% 81.25/81.64 cnf('0.595.0.2',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.595.0.1','0.19.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('0.595.1.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.595.0.2']),
% 81.25/81.64 [weight('<11,147,19,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.595.2.0',plain,
% 81.25/81.64 ( join(X1,meet(X2,join(X3,meet(X4,meet(X1,X2))))) = join(X1,meet(X2,join(meet(X4,X1),X3))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.595.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_587]).
% 81.25/81.64 cnf('0.596.0.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,meet(X2,X3)))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 81.25/81.64 cnf('0.596.0.1',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(meet(X1,X2),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.596.0.0','0.595.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.596.1.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(meet(X1,X2),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.596.0.1']),
% 81.25/81.64 [weight('<11,7,595,[0,0,0,0]>')]).
% 81.25/81.64 cnf('0.596.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(meet(X1,X2),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.596.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_588]).
% 81.25/81.64 cnf('0.802.0.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.596.2.0','0.5.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2.2.2.1','L')]).
% 81.25/81.64 cnf('0.802.1.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.802.0.0']),
% 81.25/81.64 [weight('<11,596,5,[1,0,0,7]>')]).
% 81.25/81.64 cnf('0.802.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(meet(X2,X1),X4)))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.802.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_794]).
% 81.25/81.64 cnf('0.834.0.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.802.2.0','0.8.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2.2.2','L')]).
% 81.25/81.64 cnf('0.834.1.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.834.0.0']),
% 81.25/81.64 [weight('<11,802,8,[1,0,0,6]>')]).
% 81.25/81.64 cnf('0.834.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.834.1.0',theory(equality)]),
% 81.25/81.64 [x,rule_826]).
% 81.25/81.64 cnf('0.4234.0.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X5)))))) = meet(X1,meet(join(X1,X5),join(X2,meet(X3,join(X2,X4))))) ),
% 81.25/81.64 inference(cp,[status(thm)],['0.16.2.0','0.834.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2','L')]).
% 81.25/81.64 cnf('0.4234.0.1',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['0.4234.0.0','0.16.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('0.4234.1.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(weigh,[status(thm)],['0.4234.0.1']),
% 81.25/81.64 [weight('<13,834,16,[0,0,0,2]>')]).
% 81.25/81.64 cnf('0.4234.2.0',plain,
% 81.25/81.64 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,join(X1,X5)))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 81.25/81.64 inference(orient,[status(thm)],['0.4234.1.0',theory(equality)]),
% 81.25/81.64 [u,rule_4221]).
% 81.25/81.64 cnf('1.0.0.0',conjecture,
% 81.25/81.64 ( meet(a,join(b,meet(c,join(b,d)))) = meet(a,join(b,meet(c,join(d,meet(b,join(a,d)))))) ),
% 81.25/81.64 file('/tmp/WALDMEISTER_26897_n007',conjecture_1)).
% 81.25/81.64 cnf('1.0.0.1',plain,
% 81.25/81.64 ( meet(a,join(b,meet(c,join(d,b)))) = meet(a,join(b,meet(c,join(d,meet(b,join(a,d)))))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 81.25/81.64 [pos('L.2.2.2','L')]).
% 81.25/81.64 cnf('1.0.0.2',plain,
% 81.25/81.64 ( meet(a,join(b,meet(c,join(d,b)))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['1.0.0.1','0.4234.2.0',theory(equality)]),
% 81.25/81.64 [pos('R','L')]).
% 81.25/81.64 cnf('1.0.0.3',plain,
% 81.25/81.64 ( meet(a,join(b,meet(c,join(d,b)))) = meet(a,join(b,meet(c,join(d,b)))) ),
% 81.25/81.64 inference(reduction,[status(thm)],['1.0.0.2','0.8.2.0',theory(equality)]),
% 81.25/81.64 [pos('R.2.2.2','L')]).
% 81.25/81.64 cnf('1.0.0.4',plain,
% 81.25/81.64 ( $true ),
% 81.25/81.64 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 81.25/81.64 [conjecture_1]).
% 81.25/81.64
% 81.25/81.64 Proved Goals:
% 81.25/81.64 No. 1: meet(a,join(b,meet(c,join(b,d)))) ?= meet(a,join(b,meet(c,join(d,meet(b,join(a,d)))))) joined, current: meet(a,join(b,meet(c,join(d,b)))) = meet(a,join(b,meet(c,join(d,b))))
% 81.25/81.64 1 goal was specified, which was proved.
% 81.25/81.64 % SZS output end CNFRefutation
% 81.25/81.64 #END OF PROOF
% 81.25/81.64
% 81.25/81.64 Problem WALDMEISTER_26897_n007
% 81.25/81.64 CPs.gen 18895852
% 81.25/81.64 CPs.reexp 0
% 81.25/81.64 Select 290141
% 81.25/81.64 R 4221
% 81.25/81.64 E 13
% 81.25/81.64 vsize 12.3M
% 81.25/81.64 rss 7.5M
% 81.25/81.64 process.time 80.680s
% 81.25/81.64 wallclock.time 80.678s
% 81.25/81.64 status S
% 81.25/81.64
% 81.25/81.64
% 81.25/81.64 Waldmeister states: Goal proved.
% 81.25/81.64 % SZS status Unsatisfiable
%------------------------------------------------------------------------------