↑ Up

lazyCoP---0.1.THM-Ass.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : ITP023+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n024.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 : Sat Jul 16 23:38:22 EDT 2022

% Result   : Theorem 1.77s 0.58s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP023+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.14  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Thu Jun  2 13:07:35 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 1.77/0.58  % SZS status Theorem
% 1.77/0.58  % SZS output begin IncompleteProof
% 1.77/0.58  cnf(c0, axiom,
% 1.77/0.58  	~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,sK33),s(tyop_2Erealax_2Ereal,sK34))))))))).
% 1.77/0.58  cnf(c1, plain,
% 1.77/0.58  	~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,sK33),s(tyop_2Erealax_2Ereal,sK34)))))))),
% 1.77/0.58  	inference(start, [], [c0])).
% 1.77/0.58  
% 1.77/0.58  cnf(c2, axiom,
% 1.77/0.58  	p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0)))) | ~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1)))) | ~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1))))).
% 1.77/0.58  cnf(a0, assumption,
% 1.77/0.58  	s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,sK33),s(tyop_2Erealax_2Ereal,sK34))))))) = s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0)))).
% 1.77/0.58  cnf(c3, plain,
% 1.77/0.58  	$false,
% 1.77/0.58  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 1.77/0.58  cnf(c4, plain,
% 1.77/0.58  	~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1)))) | ~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1)))),
% 1.77/0.58  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 1.77/0.58  
% 1.77/0.58  cnf(c5, axiom,
% 1.77/0.58  	p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X2),s(tyop_2Erealax_2Ereal,X3))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X2),s(tyop_2Erealax_2Ereal,X3))))))))).
% 1.77/0.58  cnf(a1, assumption,
% 1.77/0.58  	s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X2),s(tyop_2Erealax_2Ereal,X3))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X2),s(tyop_2Erealax_2Ereal,X3)))))))).
% 1.77/0.58  cnf(c6, plain,
% 1.77/0.58  	~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1)))),
% 1.77/0.58  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 1.77/0.58  cnf(c7, plain,
% 1.77/0.58  	$false,
% 1.77/0.58  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 1.77/0.58  
% 1.77/0.58  cnf(c8, axiom,
% 1.77/0.58  	p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X4),s(tyop_2Erealax_2Ereal,X5))))))))).
% 1.77/0.58  cnf(a2, assumption,
% 1.77/0.58  	s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X4),s(tyop_2Erealax_2Ereal,X5)))))))).
% 1.77/0.58  cnf(c9, plain,
% 1.77/0.58  	$false,
% 1.77/0.58  	inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 1.77/0.58  cnf(c10, plain,
% 1.77/0.58  	$false,
% 1.77/0.58  	inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 1.77/0.58  
% 1.77/0.58  cnf(c11, plain,
% 1.77/0.58  	$false,
% 1.77/0.58  	inference(constraint_solving, [
% 1.77/0.58  		bind(X0, c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,sK33),s(tyop_2Erealax_2Ereal,sK34))))),
% 1.77/0.58  		bind(X1, c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X2),s(tyop_2Erealax_2Ereal,X3))))),
% 1.77/0.58  		bind(X2, sK33),
% 1.77/0.58  		bind(X3, sK34),
% 1.77/0.58  		bind(X4, sK33),
% 1.77/0.58  		bind(X5, sK34)
% 1.77/0.58  	],
% 1.77/0.58  	[a0, a1, a2])).
% 1.77/0.58  
% 1.77/0.58  % SZS output end IncompleteProof
%------------------------------------------------------------------------------