TSTP Solution File: LAT031-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n005.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 07:14:49 EDT 2022
% Result : Unsatisfiable 0.56s 0.96s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n005.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 01:03:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.96 * |/ | \/ | *
% 0.56/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.96 * A. Jaeger and B. Loechner | | *
% 0.56/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Goals:
% 0.56/0.96 ------
% 0.56/0.96
% 0.56/0.96 ( 1) meet(join(xx,yy),join(xx,zz)) ?=? join(xx,meet(yy,zz))
% 0.56/0.96
% 0.56/0.96 Detected structure: Verband
% 0.56/0.96 ********************************************************************************
% 0.56/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.96 ********************************************************************************
% 0.56/0.96
% 0.56/0.96 joined goal: 1 meet(join(xx,yy),join(xx,zz)) ?= join(xx,meet(yy,zz)) to join(xx,meet(zz,yy))
% 0.56/0.96 goal joined
% 0.56/0.96 % SZS status Unsatisfiable
% 0.56/0.96 #START OF PROOF
% 0.56/0.96 % SZS output start CNFRefutation
% 0.56/0.96 cnf('0.2.0.0',axiom,
% 0.56/0.96 ( X1 = meet(X1,join(X1,X2)) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_24697_n005')).
% 0.56/0.96 cnf('0.2.1.0',plain,
% 0.56/0.96 ( X1 = meet(X1,join(X1,X2)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.96 cnf('0.2.2.0',plain,
% 0.56/0.96 ( meet(X1,join(X1,X2)) = X1 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_2]).
% 0.56/0.96 cnf('0.4.0.0',axiom,
% 0.56/0.96 ( X1 = join(X1,meet(X1,X2)) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_24697_n005')).
% 0.56/0.96 cnf('0.4.1.0',plain,
% 0.56/0.96 ( X1 = join(X1,meet(X1,X2)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.56/0.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.56/0.96 cnf('0.4.2.0',plain,
% 0.56/0.96 ( join(X1,meet(X1,X2)) = X1 ),
% 0.56/0.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_4]).
% 0.56/0.96 cnf('0.5.0.0',axiom,
% 0.56/0.96 ( meet(X1,X2) = meet(X2,X1) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_24697_n005')).
% 0.56/0.96 cnf('0.5.1.0',plain,
% 0.56/0.96 ( meet(X1,X2) = meet(X2,X1) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.56/0.96 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.56/0.96 cnf('0.5.2.0',plain,
% 0.56/0.96 ( meet(X1,X2) = meet(X2,X1) ),
% 0.56/0.96 inference(activate,[status(thm)],['0.5.1.0']),
% 0.56/0.96 [equation_1]).
% 0.56/0.96 cnf('0.7.0.0',axiom,
% 0.56/0.96 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_24697_n005')).
% 0.56/0.96 cnf('0.7.1.0',plain,
% 0.56/0.96 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.96 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.56/0.96 cnf('0.7.2.0',plain,
% 0.56/0.96 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_6]).
% 0.56/0.96 cnf('0.9.0.0',axiom,
% 0.56/0.96 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_24697_n005')).
% 0.56/0.96 cnf('0.9.1.0',plain,
% 0.56/0.96 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.56/0.96 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.56/0.96 cnf('0.9.2.0',plain,
% 0.56/0.96 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_7]).
% 0.56/0.96 cnf('0.18.0.0',plain,
% 0.56/0.96 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.18.1.0',plain,
% 0.56/0.96 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.56/0.96 [weight('<7,7,5,[1,0,0,1]>')]).
% 0.56/0.96 cnf('0.18.2.0',plain,
% 0.56/0.96 ( join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_16]).
% 0.56/0.96 cnf('0.20.0.0',plain,
% 0.56/0.96 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.20.1.0',plain,
% 0.56/0.96 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.56/0.96 [weight('<7,9,4,[1,0,0,1]>')]).
% 0.56/0.96 cnf('0.20.2.0',plain,
% 0.56/0.96 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_18]).
% 0.56/0.96 cnf('0.35.0.0',plain,
% 0.56/0.96 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.1','L')]).
% 0.56/0.96 cnf('0.35.1.0',plain,
% 0.56/0.96 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.56/0.96 [weight('<7,18,2,[1,0,0,1]>')]).
% 0.56/0.96 cnf('0.35.2.0',plain,
% 0.56/0.96 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.56/0.96 [u,rule_33]).
% 0.56/0.96 cnf('0.43.0.0',plain,
% 0.56/0.96 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.56/0.96 inference(cp,[status(thm)],['0.20.2.0','0.18.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.2','L')]).
% 0.56/0.96 cnf('0.43.1.0',plain,
% 0.56/0.96 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 0.56/0.96 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.56/0.96 [weight('<7,20,18,[1,0,0,2]>')]).
% 0.56/0.96 cnf('0.43.2.0',plain,
% 0.56/0.96 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 0.56/0.96 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.56/0.96 [x,rule_41]).
% 0.56/0.96 cnf('1.0.0.0',conjecture,
% 0.56/0.96 ( meet(join(xx,yy),join(xx,zz)) = join(xx,meet(yy,zz)) ),
% 0.56/0.96 file('/tmp/WALDMEISTER_24697_n005',conjecture_1)).
% 0.56/0.96 cnf('1.0.0.1',plain,
% 0.56/0.96 ( join(xx,meet(join(xx,yy),zz)) = join(xx,meet(yy,zz)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('1.0.0.2',plain,
% 0.56/0.96 ( join(xx,meet(zz,join(xx,yy))) = join(xx,meet(yy,zz)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['1.0.0.1','0.5.2.0',theory(equality)]),
% 0.56/0.96 [pos('L.2','L')]).
% 0.56/0.96 cnf('1.0.0.3',plain,
% 0.56/0.96 ( join(xx,meet(zz,yy)) = join(xx,meet(yy,zz)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['1.0.0.2','0.43.2.0',theory(equality)]),
% 0.56/0.96 [pos('L','L')]).
% 0.56/0.96 cnf('1.0.0.4',plain,
% 0.56/0.96 ( join(xx,meet(zz,yy)) = join(xx,meet(zz,yy)) ),
% 0.56/0.96 inference(reduction,[status(thm)],['1.0.0.3','0.5.2.0',theory(equality)]),
% 0.56/0.96 [pos('R.2','L')]).
% 0.56/0.96 cnf('1.0.0.5',plain,
% 0.56/0.96 ( $true ),
% 0.56/0.96 inference(trivial,[status(thm)],['1.0.0.4',theory(equality)]),
% 0.56/0.96 [conjecture_1]).
% 0.56/0.96
% 0.56/0.96 Proved Goals:
% 0.56/0.96 No. 1: meet(join(xx,yy),join(xx,zz)) ?= join(xx,meet(yy,zz)) joined, current: join(xx,meet(zz,yy)) = join(xx,meet(zz,yy))
% 0.56/0.96 1 goal was specified, which was proved.
% 0.56/0.96 % SZS output end CNFRefutation
% 0.56/0.96 #END OF PROOF
% 0.56/0.96
% 0.56/0.96 Problem WALDMEISTER_24697_n005
% 0.56/0.96 CPs.gen 1330
% 0.56/0.96 CPs.reexp 0
% 0.56/0.96 Select 89
% 0.56/0.96 R 41
% 0.56/0.96 E 2
% 0.56/0.96 vsize 6.5M
% 0.56/0.96 rss 3.8M
% 0.56/0.96 process.time 0.007s
% 0.56/0.96 wallclock.time 0.007s
% 0.56/0.96 status S
% 0.56/0.96
% 0.56/0.96
% 0.56/0.96 Waldmeister states: Goal proved.
% 0.56/0.96 % SZS status Unsatisfiable
%------------------------------------------------------------------------------