%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP013+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:28:10 AM UTC 2026
% Result : Theorem 26.11s 11.50s
% Output : Refutation 52.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 66 ( 39 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 68 ( 24 ~; 17 |; 21 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 37 ( 34 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,axiom,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(f141,axiom,
! [X0,X1,X2] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2))) = s(X0,X1)
& s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))) = s(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES) ).
fof(f15236,axiom,
! [X0,X1,X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
fof(f15554,axiom,
! [X0,X1] :
( ! [X2,X3] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3)))))))
& ! [X4,X5] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X5))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X5),s(tyop_2Enum_2Enum,X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X4),s(tyop_2Enum_2Enum,X5))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X5),s(tyop_2Enum_2Enum,X4))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
fof(f15557,conjecture,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
fof(f15558,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))) ),
inference(negated_conjecture,[status(cth)],[f15557]) ).
fof(f15719,plain,
? [X0,X1,X2] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1)))) ),
inference(ennf_transformation,[],[f15558]) ).
fof(f17608,plain,
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK90))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK91)))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK91),s(tyop_2Enum_2Enum,sK90)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91]),skolemize(X0,sK89),skolemize(X1,sK90),skolemize(X2,sK91)],[f15719]) ).
fof(f19032,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f19033,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ),
inference(flattening,[],[f19032]) ).
fof(f20713,plain,
p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK91),s(tyop_2Enum_2Enum,sK90)))),
inference(cnf_transformation,[],[f17608]) ).
fof(f20714,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK90))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK91))))),
inference(cnf_transformation,[],[f17608]) ).
fof(f22062,plain,
! [X2,X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))),
inference(cnf_transformation,[],[f15236]) ).
fof(f22525,plain,
! [X2,X0,X1] : s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2))),
inference(cnf_transformation,[],[f141]) ).
fof(f23803,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(cnf_transformation,[],[f19033]) ).
fof(f24261,plain,
! [X1,X4,X5] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X5))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X5),s(tyop_2Enum_2Enum,X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X4),s(tyop_2Enum_2Enum,X5))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X5),s(tyop_2Enum_2Enum,X4))))))))),
inference(cnf_transformation,[],[f15554]) ).
fof(f29900,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK91),s(tyop_2Enum_2Enum,sK90))),
inference(resolution,[],[f23803,f20713]) ).
fof(f29904,plain,
! [X0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK90))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK91))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK91),s(tyop_2Enum_2Enum,sK90))))))))),
inference(superposition,[],[f24261,f29900]) ).
fof(f29905,plain,
! [X0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK90))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK91))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))),
inference(forward_demodulation,[],[f29904,f22525]) ).
fof(f29906,plain,
! [X0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK90))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK91))))),
inference(forward_demodulation,[],[f29905,f22062]) ).
fof(f29945,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK89),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK90),s(tyop_2Enum_2Enum,sK91))))),
inference(superposition,[],[f20714,f29906]) ).
fof(f29949,plain,
$false,
inference(trivial_inequality_removal,[],[f29945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n015.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 12:03:19 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.49/6.51 % (1545030)Detected formulas, will run a generic FOF schedule.
% 17.49/6.51 % (1545045)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2059005212:i=141193_2963 on theBenchmark for (2963ds/141193Mi)
% 17.49/6.51 % (1545050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2283233631:s2a=on:i=139:gtg=position_2963 on theBenchmark for (2963ds/139Mi)
% 17.49/6.51 % (1545046)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2709372152:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2963 on theBenchmark for (2963ds/134677Mi)
% 17.49/6.51 % (1545051)dis-21_1_sil=8000:lcm=predicate:random_seed=1511348767:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2963 on theBenchmark for (2963ds/129Mi)
% 17.49/6.51 % (1545048)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2466188817:i=109:sd=1:ins=1:gsp=on:ss=axioms_2963 on theBenchmark for (2963ds/109Mi)
% 17.49/6.51 % (1545047)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=504602086:i=141695:sd=1:nm=32:gsp=on:ss=included_2963 on theBenchmark for (2963ds/141695Mi)
% 17.49/6.51 % (1545049)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4179032925:i=119:av=off:ss=axioms_2963 on theBenchmark for (2963ds/119Mi)
% 17.49/6.51 % (1545050)Instruction limit reached!
% 17.49/6.51 % (1545050)------------------------------
% 17.49/6.51 % (1545050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/6.51 % (1545050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/6.51 % (1545050)CaDiCaL version: 2.1.3
% 17.49/6.51 % (1545050)Termination reason: Instruction limit
% 17.49/6.51 % (1545050)Termination phase: Property scanning
% 17.49/6.51 % (1545050)Time elapsed: 0.052 s
% 17.49/6.51 % (1545050)Peak memory usage: 111 MB
% 17.49/6.51 % (1545050)Instructions burned: 141 (million)
% 17.49/6.51 % (1545048)Instruction limit reached!
% 17.49/6.51 % (1545048)------------------------------
% 17.49/6.51 % (1545048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/6.51 % (1545048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/6.51 % (1545048)CaDiCaL version: 2.1.3
% 17.49/6.51 % (1545048)Termination reason: Instruction limit
% 17.49/6.51 % (1545048)Termination phase: SInE selection
% 17.49/6.51 % (1545048)Time elapsed: 0.062 s
% 17.49/6.51 % (1545048)Peak memory usage: 110 MB
% 17.49/6.51 % (1545048)Instructions burned: 110 (million)
% 17.49/6.51 % (1545051)Instruction limit reached!
% 17.49/6.51 % (1545051)------------------------------
% 17.49/6.51 % (1545051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/6.51 % (1545051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/6.51 % (1545051)CaDiCaL version: 2.1.3
% 17.49/6.51 % (1545051)Termination reason: Instruction limit
% 17.49/6.51 % (1545051)Termination phase: SInE selection
% 17.49/6.51 % (1545051)Time elapsed: 0.070 s
% 17.49/6.51 % (1545051)Peak memory usage: 110 MB
% 17.49/6.51 % (1545051)Instructions burned: 129 (million)
% 17.49/6.51 % (1545049)Instruction limit reached!
% 17.49/6.51 % (1545049)------------------------------
% 17.49/6.51 % (1545049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/6.51 % (1545049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/6.51 % (1545049)CaDiCaL version: 2.1.3
% 17.49/6.51 % (1545049)Termination reason: Instruction limit
% 17.49/6.51 % (1545049)Termination phase: SInE selection
% 17.49/6.51 % (1545049)Time elapsed: 0.103 s
% 17.49/6.51 % (1545049)Peak memory usage: 110 MB
% 17.49/6.51 % (1545049)Instructions burned: 120 (million)
% 17.49/6.51 % (1545059)lrs+10_1_sil=8000:sp=occurrence:random_seed=2913140949:i=285:sd=3:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/285Mi)
% 17.49/6.51 % (1545060)lrs+10_1_sil=32000:urr=on:br=off:random_seed=646432397:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/157Mi)
% 17.49/6.51 % (1545061)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2586435867:i=325:sd=1:ss=axioms:sgt=32_2961 on theBenchmark for (2961ds/325Mi)
% 17.49/6.51 % (1545060)Instruction limit reached!
% 17.49/6.51 % (1545060)------------------------------
% 17.49/6.51 % (1545060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/6.51 % (1545060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545060)CaDiCaL version: 2.1.3
% 24.02/7.42 % (1545060)Termination reason: Instruction limit
% 24.02/7.42 % (1545060)Termination phase: Property scanning
% 24.02/7.42 % (1545060)Time elapsed: 0.058 s
% 24.02/7.42 % (1545060)Peak memory usage: 111 MB
% 24.02/7.42 % (1545060)Instructions burned: 158 (million)
% 24.02/7.42 % (1545062)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=63651204:s2a=on:i=248:s2at=1.23:gtg=position_2960 on theBenchmark for (2960ds/248Mi)
% 24.02/7.42 % (1545059)Instruction limit reached!
% 24.02/7.42 % (1545059)------------------------------
% 24.02/7.42 % (1545059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/7.42 % (1545059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545059)CaDiCaL version: 2.1.3
% 24.02/7.42 % (1545059)Termination reason: Instruction limit
% 24.02/7.42 % (1545059)Termination phase: Property scanning
% 24.02/7.42 % (1545059)Time elapsed: 0.173 s
% 24.02/7.42 % (1545059)Peak memory usage: 114 MB
% 24.02/7.42 % (1545059)Instructions burned: 286 (million)
% 24.02/7.42 % (1545062)Instruction limit reached!
% 24.02/7.42 % (1545062)------------------------------
% 24.02/7.42 % (1545062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/7.42 % (1545062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545062)CaDiCaL version: 2.1.3
% 24.02/7.42 % (1545062)Termination reason: Instruction limit
% 24.02/7.42 % (1545062)Termination phase: Property scanning
% 24.02/7.42 % (1545062)Time elapsed: 0.110 s
% 24.02/7.42 % (1545062)Peak memory usage: 111 MB
% 24.02/7.42 % (1545062)Instructions burned: 249 (million)
% 24.02/7.42 % (1545061)Instruction limit reached!
% 24.02/7.42 % (1545061)------------------------------
% 24.02/7.42 % (1545061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/7.42 % (1545061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545061)CaDiCaL version: 2.1.3
% 24.02/7.42 % (1545061)Termination reason: Instruction limit
% 24.02/7.42 % (1545061)Termination phase: Saturation
% 24.02/7.42 % (1545061)Time elapsed: 0.190 s
% 24.02/7.42 % (1545061)Peak memory usage: 116 MB
% 24.02/7.42 % (1545061)Instructions burned: 325 (million)
% 24.02/7.42 % (1545066)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=474688665:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2959 on theBenchmark for (2959ds/294Mi)
% 24.02/7.42 % (1545069)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2432025799:cts=off:i=113:fsr=off:ss=included:sgt=4_2958 on theBenchmark for (2958ds/113Mi)
% 24.02/7.42 % (1545068)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2462848964:i=2350_2958 on theBenchmark for (2958ds/2350Mi)
% 24.02/7.42 % (1545071)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3025550057:i=127:av=off:fsr=off:sup=off_2957 on theBenchmark for (2957ds/127Mi)
% 24.02/7.42 % (1545066)Instruction limit reached!
% 24.02/7.42 % (1545066)------------------------------
% 24.02/7.42 % (1545066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/7.42 % (1545066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545066)CaDiCaL version: 2.1.3
% 24.02/7.42 % (1545066)Termination reason: Instruction limit
% 24.02/7.42 % (1545066)Termination phase: SInE selection
% 24.02/7.42 % (1545066)Time elapsed: 0.148 s
% 24.02/7.42 % (1545066)Peak memory usage: 110 MB
% 24.02/7.42 % (1545066)Instructions burned: 295 (million)
% 24.02/7.42 % (1545069)Instruction limit reached!
% 24.02/7.42 % (1545069)------------------------------
% 24.02/7.42 % (1545069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/7.42 % (1545069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545069)CaDiCaL version: 2.1.3
% 24.02/7.42 % (1545069)Termination reason: Instruction limit
% 24.02/7.42 % (1545069)Termination phase: SInE selection
% 24.02/7.42 % (1545069)Time elapsed: 0.065 s
% 24.02/7.42 % (1545069)Peak memory usage: 110 MB
% 24.02/7.42 % (1545069)Instructions burned: 113 (million)
% 24.02/7.42 % (1545071)Instruction limit reached!
% 24.02/7.42 % (1545071)------------------------------
% 24.02/7.42 % (1545071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/7.42 % (1545071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/7.42 % (1545071)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545071)Termination reason: Instruction limit
% 26.11/11.50 % (1545071)Termination phase: Preprocessing 1
% 26.11/11.50 % (1545071)Time elapsed: 0.084 s
% 26.11/11.50 % (1545071)Peak memory usage: 111 MB
% 26.11/11.50 % (1545071)Instructions burned: 128 (million)
% 26.11/11.50 % (1545075)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3677437810:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2956 on theBenchmark for (2956ds/114Mi)
% 26.11/11.50 % (1545076)lrs+10_1_sil=8000:sp=occurrence:random_seed=2463248400:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2956 on theBenchmark for (2956ds/907Mi)
% 26.11/11.50 % (1545075)Instruction limit reached!
% 26.11/11.50 % (1545075)------------------------------
% 26.11/11.50 % (1545075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545075)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545075)Termination reason: Instruction limit
% 26.11/11.50 % (1545075)Termination phase: Property scanning
% 26.11/11.50 % (1545075)Time elapsed: 0.043 s
% 26.11/11.50 % (1545075)Peak memory usage: 111 MB
% 26.11/11.50 % (1545075)Instructions burned: 115 (million)
% 26.11/11.50 % (1545077)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3396243636:i=437:sd=1:aac=none:ss=included_2955 on theBenchmark for (2955ds/437Mi)
% 26.11/11.50 % (1545080)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=322351234:i=5202:ss=axioms:sgt=16_2954 on theBenchmark for (2954ds/5202Mi)
% 26.11/11.50 % (1545077)Instruction limit reached!
% 26.11/11.50 % (1545077)------------------------------
% 26.11/11.50 % (1545077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545077)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545077)Termination reason: Instruction limit
% 26.11/11.50 % (1545077)Termination phase: Property scanning
% 26.11/11.50 % (1545077)Time elapsed: 0.253 s
% 26.11/11.50 % (1545077)Peak memory usage: 118 MB
% 26.11/11.50 % (1545077)Instructions burned: 438 (million)
% 26.11/11.50 % (1545076)Instruction limit reached!
% 26.11/11.50 % (1545076)------------------------------
% 26.11/11.50 % (1545076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545076)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545076)Termination reason: Instruction limit
% 26.11/11.50 % (1545076)Termination phase: Saturation
% 26.11/11.50 % (1545076)Time elapsed: 0.454 s
% 26.11/11.50 % (1545076)Peak memory usage: 121 MB
% 26.11/11.50 % (1545076)Instructions burned: 908 (million)
% 26.11/11.50 % (1545088)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=718594999:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2951 on theBenchmark for (2951ds/134Mi)
% 26.11/11.50 % (1545088)Instruction limit reached!
% 26.11/11.50 % (1545088)------------------------------
% 26.11/11.50 % (1545088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545088)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545088)Termination reason: Instruction limit
% 26.11/11.50 % (1545088)Termination phase: SInE selection
% 26.11/11.50 % (1545088)Time elapsed: 0.077 s
% 26.11/11.50 % (1545088)Peak memory usage: 110 MB
% 26.11/11.50 % (1545088)Instructions burned: 135 (million)
% 26.11/11.50 % (1545089)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2031536613:st=8:i=592:sd=3:ep=RST:ss=axioms_2949 on theBenchmark for (2949ds/592Mi)
% 26.11/11.50 % (1545091)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=306750120:st=3:i=13193:sd=3:ss=axioms_2948 on theBenchmark for (2948ds/13193Mi)
% 26.11/11.50 % (1545089)Instruction limit reached!
% 26.11/11.50 % (1545089)------------------------------
% 26.11/11.50 % (1545089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545089)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545089)Termination reason: Instruction limit
% 26.11/11.50 % (1545089)Termination phase: Naming
% 26.11/11.50 % (1545089)Time elapsed: 0.357 s
% 26.11/11.50 % (1545089)Peak memory usage: 116 MB
% 26.11/11.50 % (1545089)Instructions burned: 594 (million)
% 26.11/11.50 % (1545068)Instruction limit reached!
% 26.11/11.50 % (1545068)------------------------------
% 26.11/11.50 % (1545068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545068)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545068)Termination reason: Instruction limit
% 26.11/11.50 % (1545068)Termination phase: Preprocessing 3
% 26.11/11.50 % (1545068)Time elapsed: 1.259 s
% 26.11/11.50 % (1545068)Peak memory usage: 153 MB
% 26.11/11.50 % (1545068)Instructions burned: 2350 (million)
% 26.11/11.50 % (1545094)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2407670508:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2944 on theBenchmark for (2944ds/125Mi)
% 26.11/11.50 % (1545094)Instruction limit reached!
% 26.11/11.50 % (1545094)------------------------------
% 26.11/11.50 % (1545094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545094)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545094)Termination reason: Instruction limit
% 26.11/11.50 % (1545094)Termination phase: Property scanning
% 26.11/11.50 % (1545094)Time elapsed: 0.049 s
% 26.11/11.50 % (1545094)Peak memory usage: 111 MB
% 26.11/11.50 % (1545094)Instructions burned: 126 (million)
% 26.11/11.50 % (1545095)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1809050539:i=134:gtgl=5:slsql=off:gtg=exists_sym_2943 on theBenchmark for (2943ds/134Mi)
% 26.11/11.50 % (1545095)Instruction limit reached!
% 26.11/11.50 % (1545095)------------------------------
% 26.11/11.50 % (1545095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545095)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545095)Termination reason: Instruction limit
% 26.11/11.50 % (1545095)Termination phase: Property scanning
% 26.11/11.50 % (1545095)Time elapsed: 0.051 s
% 26.11/11.50 % (1545095)Peak memory usage: 111 MB
% 26.11/11.50 % (1545095)Instructions burned: 134 (million)
% 26.11/11.50 % (1545098)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2456898076:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/141Mi)
% 26.11/11.50 % (1545099)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4013177636:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2941 on theBenchmark for (2941ds/431Mi)
% 26.11/11.50 % (1545098)Instruction limit reached!
% 26.11/11.50 % (1545098)------------------------------
% 26.11/11.50 % (1545098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545098)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545098)Termination reason: Instruction limit
% 26.11/11.50 % (1545098)Termination phase: SInE selection
% 26.11/11.50 % (1545098)Time elapsed: 0.082 s
% 26.11/11.50 % (1545098)Peak memory usage: 110 MB
% 26.11/11.50 % (1545098)Instructions burned: 142 (million)
% 26.11/11.50 % (1545099)Instruction limit reached!
% 26.11/11.50 % (1545099)------------------------------
% 26.11/11.50 % (1545099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545099)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545099)Termination reason: Instruction limit
% 26.11/11.50 % (1545099)Termination phase: Saturation
% 26.11/11.50 % (1545099)Time elapsed: 0.249 s
% 26.11/11.50 % (1545099)Peak memory usage: 116 MB
% 26.11/11.50 % (1545099)Instructions burned: 432 (million)
% 26.11/11.50 % (1545102)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2435046061:i=6060:aac=none:ins=25_2939 on theBenchmark for (2939ds/6060Mi)
% 26.11/11.50 % (1545103)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=556325081:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2937 on theBenchmark for (2937ds/150Mi)
% 26.11/11.50 % (1545103)Instruction limit reached!
% 26.11/11.50 % (1545103)------------------------------
% 26.11/11.50 % (1545103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545103)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545103)Termination reason: Instruction limit
% 26.11/11.50 % (1545103)Termination phase: SInE selection
% 26.11/11.50 % (1545103)Time elapsed: 0.086 s
% 26.11/11.50 % (1545103)Peak memory usage: 110 MB
% 26.11/11.50 % (1545103)Instructions burned: 152 (million)
% 26.11/11.50 % (1545106)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3245749428:i=14155:bd=all_2934 on theBenchmark for (2934ds/14155Mi)
% 26.11/11.50 % (1545080)Instruction limit reached!
% 26.11/11.50 % (1545080)------------------------------
% 26.11/11.50 % (1545080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545080)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545080)Termination reason: Instruction limit
% 26.11/11.50 % (1545080)Termination phase: Saturation
% 26.11/11.50 % (1545080)Time elapsed: 3.130 s
% 26.11/11.50 % (1545080)Peak memory usage: 201 MB
% 26.11/11.50 % (1545080)Instructions burned: 5202 (million)
% 26.11/11.50 % (1545108)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=524754267:i=667:av=off:fsr=off_2921 on theBenchmark for (2921ds/667Mi)
% 26.11/11.50 % (1545108)Instruction limit reached!
% 26.11/11.50 % (1545108)------------------------------
% 26.11/11.50 % (1545108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545108)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545108)Termination reason: Instruction limit
% 26.11/11.50 % (1545108)Termination phase: NewCNF
% 26.11/11.50 % (1545108)Time elapsed: 0.561 s
% 26.11/11.50 % (1545108)Peak memory usage: 127 MB
% 26.11/11.50 % (1545108)Instructions burned: 668 (million)
% 26.11/11.50 % (1545203)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1067606341:s2a=on:i=185:s2at=1.8:fdi=4_2913 on theBenchmark for (2913ds/185Mi)
% 26.11/11.50 % (1545203)Instruction limit reached!
% 26.11/11.50 % (1545203)------------------------------
% 26.11/11.50 % (1545203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545203)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545203)Termination reason: Instruction limit
% 26.11/11.50 % (1545203)Termination phase: SInE selection
% 26.11/11.50 % (1545203)Time elapsed: 0.149 s
% 26.11/11.50 % (1545203)Peak memory usage: 110 MB
% 26.11/11.50 % (1545203)Instructions burned: 185 (million)
% 26.11/11.50 % (1545102)Instruction limit reached!
% 26.11/11.50 % (1545102)------------------------------
% 26.11/11.50 % (1545102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545102)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545102)Termination reason: Instruction limit
% 26.11/11.50 % (1545102)Termination phase: Property scanning
% 26.11/11.50 % (1545102)Time elapsed: 3.480 s
% 26.11/11.50 % (1545102)Peak memory usage: 149 MB
% 26.11/11.50 % (1545102)Instructions burned: 6061 (million)
% 26.11/11.50 % (1545233)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=403952288:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2908 on theBenchmark for (2908ds/193Mi)
% 26.11/11.50 % (1545233)Instruction limit reached!
% 26.11/11.50 % (1545233)------------------------------
% 26.11/11.50 % (1545233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.11/11.50 % (1545233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.11/11.50 % (1545233)CaDiCaL version: 2.1.3
% 26.11/11.50 % (1545233)Termination reason: Instruction limit
% 26.11/11.50 % (1545233)Termination phase: SInE selection
% 26.11/11.50 % (1545233)Time elapsed: 0.093 s
% 26.11/11.50 % (1545233)Peak memory usage: 110 MB
% 26.11/11.50 % (1545233)Instructions burned: 193 (million)
% 26.11/11.50 % (1545271)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3493044834:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2902 on theBenchmark for (2902ds/4850Mi)
% 26.11/11.50 % (1545091)First to succeed.
% 26.11/11.50 % (1545091)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1545030"
% 26.11/11.50 % (1545278)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3202148846:i=12111:sd=1:ss=included_2900 on theBenchmark for (2900ds/12111Mi)
% 26.11/11.50 % (1545091)Refutation found. Thanks to Tanya!
% 26.11/11.50 % SZS status Theorem for theBenchmark
% 26.11/11.50 % SZS output start Proof for theBenchmark
% See solution above
% 52.45/11.85 % (1545091)------------------------------
% 52.45/11.85 % (1545091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.45/11.85 % (1545091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.45/11.85 % (1545091)CaDiCaL version: 2.1.3
% 52.45/11.85 % (1545091)Termination reason: Refutation
% 52.45/11.85 % (1545091)Time elapsed: 4.779 s
% 52.45/11.85 % (1545091)Peak memory usage: 327 MB
% 52.45/11.85 % (1545091)Instructions burned: 6889 (million)
% 52.45/11.85 % (1545091)------------------------------
% 52.45/11.85 % (1545091)------------------------------
% 52.45/11.85 % (1545030)Success in time 10.594 s
% 52.45/11.85 % Vampire exiting
%------------------------------------------------------------------------------