TSTP Solution File: LAT165-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT165-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n003.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 1.68s 2.06s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT165-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 16:15:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) ?=? meet(a,join(b,meet(c,join(b,d))))
% 0.57/0.98
% 0.57/0.98 Detected structure: Verband
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 1.68/2.06 joined goal: 1 meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) ?= meet(a,join(b,meet(c,join(b,d)))) to meet(a,join(b,meet(c,join(b,d))))
% 1.68/2.06 goal joined
% 1.68/2.06 % SZS status Unsatisfiable
% 1.68/2.06 #START OF PROOF
% 1.68/2.06 % SZS output start CNFRefutation
% 1.68/2.06 cnf('0.2.0.0',axiom,
% 1.68/2.06 ( X1 = meet(X1,join(X1,X2)) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.2.1.0',plain,
% 1.68/2.06 ( X1 = meet(X1,join(X1,X2)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.68/2.06 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.2.2.0',plain,
% 1.68/2.06 ( meet(X1,join(X1,X2)) = X1 ),
% 1.68/2.06 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_2]).
% 1.68/2.06 cnf('0.4.0.0',axiom,
% 1.68/2.06 ( X1 = join(X1,meet(X1,X2)) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.4.1.0',plain,
% 1.68/2.06 ( X1 = join(X1,meet(X1,X2)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.68/2.06 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.68/2.06 cnf('0.4.2.0',plain,
% 1.68/2.06 ( join(X1,meet(X1,X2)) = X1 ),
% 1.68/2.06 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_4]).
% 1.68/2.06 cnf('0.5.0.0',axiom,
% 1.68/2.06 ( meet(X1,X2) = meet(X2,X1) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.5.1.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X2,X1) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.68/2.06 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.68/2.06 cnf('0.5.2.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X2,X1) ),
% 1.68/2.06 inference(activate,[status(thm)],['0.5.1.0']),
% 1.68/2.06 [equation_1]).
% 1.68/2.06 cnf('0.6.0.0',axiom,
% 1.68/2.06 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.6.1.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.68/2.06 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.68/2.06 cnf('0.6.2.0',plain,
% 1.68/2.06 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_5]).
% 1.68/2.06 cnf('0.7.0.0',axiom,
% 1.68/2.06 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.7.1.0',plain,
% 1.68/2.06 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.68/2.06 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.68/2.06 cnf('0.7.2.0',plain,
% 1.68/2.06 ( meet(X1,join(X2,meet(X3,join(X4,meet(X1,X2))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_6]).
% 1.68/2.06 cnf('0.8.0.0',axiom,
% 1.68/2.06 ( join(X1,X2) = join(X2,X1) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.8.1.0',plain,
% 1.68/2.06 ( join(X1,X2) = join(X2,X1) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.68/2.06 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.68/2.06 cnf('0.8.2.0',plain,
% 1.68/2.06 ( join(X1,X2) = join(X2,X1) ),
% 1.68/2.06 inference(activate,[status(thm)],['0.8.1.0']),
% 1.68/2.06 [equation_2]).
% 1.68/2.06 cnf('0.9.0.0',axiom,
% 1.68/2.06 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003')).
% 1.68/2.06 cnf('0.9.1.0',plain,
% 1.68/2.06 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.68/2.06 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.68/2.06 cnf('0.9.2.0',plain,
% 1.68/2.06 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_7]).
% 1.68/2.06 cnf('0.10.0.0',plain,
% 1.68/2.06 ( X1 = join(X1,meet(X2,X1)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.10.1.0',plain,
% 1.68/2.06 ( X1 = join(X1,meet(X2,X1)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.68/2.06 [weight('<5,5,4,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.10.2.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,X1)) = X1 ),
% 1.68/2.06 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_8]).
% 1.68/2.06 cnf('0.12.0.0',plain,
% 1.68/2.06 ( X1 = meet(X1,join(X2,X1)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.2.2.0','0.8.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.12.1.0',plain,
% 1.68/2.06 ( X1 = meet(X1,join(X2,X1)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.68/2.06 [weight('<5,8,2,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.12.2.0',plain,
% 1.68/2.06 ( meet(X1,join(X2,X1)) = X1 ),
% 1.68/2.06 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_10]).
% 1.68/2.06 cnf('0.16.0.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.1','L')]).
% 1.68/2.06 cnf('0.16.1.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.68/2.06 [weight('<7,6,2,[1,0,0,1]>')]).
% 1.68/2.06 cnf('0.16.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.68/2.06 [u,rule_14]).
% 1.68/2.06 cnf('0.17.0.0',plain,
% 1.68/2.06 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.1','L')]).
% 1.68/2.06 cnf('0.17.1.0',plain,
% 1.68/2.06 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.68/2.06 [weight('<7,9,4,[1,0,0,1]>')]).
% 1.68/2.06 cnf('0.17.2.0',plain,
% 1.68/2.06 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.68/2.06 [u,rule_15]).
% 1.68/2.06 cnf('0.20.0.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.1','L')]).
% 1.68/2.06 cnf('0.20.1.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.68/2.06 [weight('<7,12,6,[0,0,0,1]>')]).
% 1.68/2.06 cnf('0.20.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 1.68/2.06 [u,rule_18]).
% 1.68/2.06 cnf('0.28.0.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.28.1.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.68/2.06 [weight('<7,16,5,[1,0,0,2]>')]).
% 1.68/2.06 cnf('0.28.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_26]).
% 1.68/2.06 cnf('0.38.0.0',plain,
% 1.68/2.06 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 1.68/2.06 [pos('L','L')]).
% 1.68/2.06 cnf('0.38.1.0',plain,
% 1.68/2.06 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.38.0.0']),
% 1.68/2.06 [weight('<9,9,4,[1,0,0,0]>')]).
% 1.68/2.06 cnf('0.38.2.0',plain,
% 1.68/2.06 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.68/2.06 [u,rule_36]).
% 1.68/2.06 cnf('0.40.0.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.12.2.0','0.6.2.0',theory(equality)]),
% 1.68/2.06 [pos('L','L')]).
% 1.68/2.06 cnf('0.40.1.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.68/2.06 [weight('<9,12,6,[1,0,0,0]>')]).
% 1.68/2.06 cnf('0.40.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_38]).
% 1.68/2.06 cnf('0.46.0.0',plain,
% 1.68/2.06 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.12.2.0','0.17.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.46.1.0',plain,
% 1.68/2.06 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.46.0.0']),
% 1.68/2.06 [weight('<9,17,12,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.46.1.1',plain,
% 1.68/2.06 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.46.1.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('R','L')]).
% 1.68/2.06 cnf('0.46.2.0',plain,
% 1.68/2.06 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 1.68/2.06 [x,rule_44]).
% 1.68/2.06 cnf('0.59.0.0',plain,
% 1.68/2.06 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.10.2.0','0.20.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.59.1.0',plain,
% 1.68/2.06 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.59.0.0']),
% 1.68/2.06 [weight('<9,20,10,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.59.1.1',plain,
% 1.68/2.06 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.59.1.0','0.8.2.0',theory(equality)]),
% 1.68/2.06 [pos('R','L')]).
% 1.68/2.06 cnf('0.59.2.0',plain,
% 1.68/2.06 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.59.1.1',theory(equality)]),
% 1.68/2.06 [x,rule_57]).
% 1.68/2.06 cnf('0.98.0.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.40.2.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2.2.2','L')]).
% 1.68/2.06 cnf('0.98.1.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X2,X1)))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.98.0.0']),
% 1.68/2.06 [weight('<9,40,5,[1,0,0,6]>')]).
% 1.68/2.06 cnf('0.98.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_96]).
% 1.68/2.06 cnf('0.109.0.0',plain,
% 1.68/2.06 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.46.2.0','0.4.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.1','L')]).
% 1.68/2.06 cnf('0.109.1.0',plain,
% 1.68/2.06 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.109.0.0']),
% 1.68/2.06 [weight('<9,46,4,[1,0,0,1]>')]).
% 1.68/2.06 cnf('0.109.2.0',plain,
% 1.68/2.06 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_107]).
% 1.68/2.06 cnf('0.119.0.0',plain,
% 1.68/2.06 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.59.2.0','0.2.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.1','L')]).
% 1.68/2.06 cnf('0.119.1.0',plain,
% 1.68/2.06 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.119.0.0']),
% 1.68/2.06 [weight('<9,59,2,[1,0,0,1]>')]).
% 1.68/2.06 cnf('0.119.2.0',plain,
% 1.68/2.06 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_115]).
% 1.68/2.06 cnf('0.133.0.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.98.2.0','0.109.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.133.1.0',plain,
% 1.68/2.06 ( meet(X1,X2) = meet(X1,join(meet(X2,X3),meet(X2,X1))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.133.0.0']),
% 1.68/2.06 [weight('<9,109,98,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.133.2.0',plain,
% 1.68/2.06 ( meet(X1,join(meet(X2,X3),meet(X2,X1))) = meet(X1,X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_128]).
% 1.68/2.06 cnf('0.142.0.0',plain,
% 1.68/2.06 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.38.2.0','0.119.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.142.1.0',plain,
% 1.68/2.06 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.142.0.0']),
% 1.68/2.06 [weight('<9,119,38,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.142.2.0',plain,
% 1.68/2.06 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.142.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_136]).
% 1.68/2.06 cnf('0.154.0.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X2)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.142.2.0','0.133.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.154.1.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),X2)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.154.0.0']),
% 1.68/2.06 [weight('<9,142,133,[1,0,0,2]>')]).
% 1.68/2.06 cnf('0.154.1.1',plain,
% 1.68/2.06 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,meet(X2,X3)))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.154.1.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('R.2','L')]).
% 1.68/2.06 cnf('0.154.2.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.154.1.1',theory(equality)]),
% 1.68/2.06 [x,rule_148]).
% 1.68/2.06 cnf('0.156.0.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,meet(X2,join(X1,X3))))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.154.2.0','0.7.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.156.0.1',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.156.0.0','0.154.2.0',theory(equality)]),
% 1.68/2.06 [pos('R','L')]).
% 1.68/2.06 cnf('0.156.1.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.156.0.1']),
% 1.68/2.06 [weight('<9,154,7,[1,0,0,2]>')]).
% 1.68/2.06 cnf('0.156.2.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,X1)))) = join(X1,meet(X2,join(X1,X3))) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 1.68/2.06 [u,rule_150]).
% 1.68/2.06 cnf('0.160.0.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('L','L')]).
% 1.68/2.06 cnf('0.160.1.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.160.0.0']),
% 1.68/2.06 [weight('<10,6,5,[1,0,0,0]>')]).
% 1.68/2.06 cnf('0.160.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 1.68/2.06 inference(activate,[status(thm)],['0.160.1.0']),
% 1.68/2.06 [equation_7]).
% 1.68/2.06 cnf('0.161.0.0',plain,
% 1.68/2.06 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(X4,meet(X2,X1)) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.160.2.0','0.28.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.161.0.1',plain,
% 1.68/2.06 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.161.0.0','0.6.2.0',theory(equality)]),
% 1.68/2.06 [pos('L','L')]).
% 1.68/2.06 cnf('0.161.1.0',plain,
% 1.68/2.06 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.161.0.1']),
% 1.68/2.06 [weight('<9,160,28,[1,0,0,2]>')]).
% 1.68/2.06 cnf('0.161.1.1',plain,
% 1.68/2.06 ( meet(X1,meet(X2,meet(join(X2,X3),X4))) = meet(X4,meet(X2,X1)) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.161.1.0','0.160.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.161.1.2',plain,
% 1.68/2.06 ( meet(X1,meet(X2,X4)) = meet(X4,meet(X2,X1)) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.161.1.1','0.16.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.161.2.0',plain,
% 1.68/2.06 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 1.68/2.06 inference(activate,[status(thm)],['0.161.1.2']),
% 1.68/2.06 [equation_8]).
% 1.68/2.06 cnf('0.163.0.0',plain,
% 1.68/2.06 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2.2.2.2','L')]).
% 1.68/2.06 cnf('0.163.1.0',plain,
% 1.68/2.06 ( meet(X1,join(X2,meet(X3,join(X2,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.163.0.0']),
% 1.68/2.06 [weight('<11,7,5,[1,0,0,8]>')]).
% 1.68/2.06 cnf('0.163.2.0',plain,
% 1.68/2.06 ( meet(X1,join(X2,meet(X3,join(X4,meet(X2,X1))))) = meet(X1,join(X2,meet(X3,join(X2,X4)))) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.163.1.0',theory(equality)]),
% 1.68/2.06 [x,rule_155]).
% 1.68/2.06 cnf('0.618.0.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,meet(X1,X4))))) = join(X1,join(meet(X1,X4),meet(X2,join(meet(X1,X4),X3)))) ),
% 1.68/2.06 inference(cp,[status(thm)],['0.17.2.0','0.156.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('0.618.0.1',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,meet(X1,X4))))) = join(X1,meet(X2,join(meet(X1,X4),X3))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['0.618.0.0','0.17.2.0',theory(equality)]),
% 1.68/2.06 [pos('R','L')]).
% 1.68/2.06 cnf('0.618.1.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,meet(X1,X4))))) = join(X1,meet(X2,join(meet(X1,X4),X3))) ),
% 1.68/2.06 inference(weigh,[status(thm)],['0.618.0.1']),
% 1.68/2.06 [weight('<11,156,17,[0,0,0,2]>')]).
% 1.68/2.06 cnf('0.618.2.0',plain,
% 1.68/2.06 ( join(X1,meet(X2,join(X3,meet(X2,meet(X1,X4))))) = join(X1,meet(X2,join(meet(X1,X4),X3))) ),
% 1.68/2.06 inference(orient,[status(thm)],['0.618.1.0',theory(equality)]),
% 1.68/2.06 [u,rule_610]).
% 1.68/2.06 cnf('1.0.0.0',conjecture,
% 1.68/2.06 ( meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 1.68/2.06 file('/tmp/WALDMEISTER_2172_n003',conjecture_1)).
% 1.68/2.06 cnf('1.0.0.1',plain,
% 1.68/2.06 ( meet(a,join(b,meet(c,join(d,meet(c,meet(b,a)))))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['1.0.0.0','0.161.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2.2.2.2','L')]).
% 1.68/2.06 cnf('1.0.0.2',plain,
% 1.68/2.06 ( meet(a,join(b,meet(c,join(meet(b,a),d)))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['1.0.0.1','0.618.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2','L')]).
% 1.68/2.06 cnf('1.0.0.3',plain,
% 1.68/2.06 ( meet(a,join(b,meet(c,join(d,meet(b,a))))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['1.0.0.2','0.8.2.0',theory(equality)]),
% 1.68/2.06 [pos('L.2.2.2','L')]).
% 1.68/2.06 cnf('1.0.0.4',plain,
% 1.68/2.06 ( meet(a,join(b,meet(c,join(b,d)))) = meet(a,join(b,meet(c,join(b,d)))) ),
% 1.68/2.06 inference(reduction,[status(thm)],['1.0.0.3','0.163.2.0',theory(equality)]),
% 1.68/2.06 [pos('L','L')]).
% 1.68/2.06 cnf('1.0.0.5',plain,
% 1.68/2.06 ( $true ),
% 1.68/2.06 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 1.68/2.06 [conjecture_1]).
% 1.68/2.06
% 1.68/2.06 Proved Goals:
% 1.68/2.06 No. 1: meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))) ?= meet(a,join(b,meet(c,join(b,d)))) joined, current: meet(a,join(b,meet(c,join(b,d)))) = meet(a,join(b,meet(c,join(b,d))))
% 1.68/2.06 1 goal was specified, which was proved.
% 1.68/2.06 % SZS output end CNFRefutation
% 1.68/2.06 #END OF PROOF
% 1.68/2.06
% 1.68/2.06 Problem WALDMEISTER_2172_n003
% 1.68/2.06 CPs.gen 331262
% 1.68/2.06 CPs.reexp 0
% 1.68/2.06 Select 10667
% 1.68/2.06 R 610
% 1.68/2.06 E 8
% 1.68/2.06 vsize 8.5M
% 1.68/2.06 rss 4.1M
% 1.68/2.06 process.time 1.087s
% 1.68/2.06 wallclock.time 1.088s
% 1.68/2.06 status S
% 1.68/2.06
% 1.68/2.06
% 1.68/2.06 Waldmeister states: Goal proved.
% 1.68/2.06 % SZS status Unsatisfiable
%------------------------------------------------------------------------------