%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP013+2 : 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 : n014.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 11:28:09 AM UTC 2026
% Result : Theorem 14.75s 2.83s
% Output : Refutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 131 ( 31 unt; 8 def)
% Number of atoms : 461 ( 39 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 610 ( 280 ~; 271 |; 17 &)
% ( 9 <=>; 31 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 142 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
ne(bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_ne) ).
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f5,axiom,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X0)
<=> p(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).
fof(f15,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
fof(f16,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
fof(f17,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ne(ty_2Efcp_2Ecart(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Efcp_2Ecart) ).
fof(f20,axiom,
mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Earithmetic_2E_2D) ).
fof(f21,axiom,
mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Earithmetic_2E_3C_3D) ).
fof(f24,axiom,
! [X0] :
( ne(X0)
=> mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ewords_2En2w) ).
fof(f25,axiom,
! [X0] :
( ne(X0)
=> mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ewords_2Eword__2comp) ).
fof(f41,axiom,
! [X0] :
( ne(X0)
=> ( ! [X1] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 ) )
& ! [X3] :
( mem(X3,X0)
=> ! [X4] :
( mem(X4,X0)
=> ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X3),X4) = X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2Ebool__case__thm) ).
fof(f42,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,ty_2Efcp_2Ecart(bool,X0))
=> ! [X2] :
( mem(X2,ty_2Efcp_2Ecart(bool,X0))
=> ap(ap(c_2Ewords_2Eword__sub(X0),X1),X2) = ap(ap(c_2Ewords_2Eword__add(X0),X1),ap(c_2Ewords_2Eword__2comp(X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ewords_2Eword__sub__def) ).
fof(f43,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ( ! [X2] :
( mem(X2,ty_2Enum_2Enum)
=> ! [X3] :
( mem(X3,ty_2Enum_2Enum)
=> ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X3))) = ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2B,X2),X3))) ) )
& ! [X4] :
( mem(X4,ty_2Enum_2Enum)
=> ! [X5] :
( mem(X5,ty_2Enum_2Enum)
=> ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X4)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X5))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X5),X4)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X4),X5))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X5),X4)))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ewords_2EWORD__LITERAL__ADD) ).
fof(f44,conjecture,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,ty_2Enum_2Enum)
=> ! [X2] :
( mem(X2,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
=> ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ewords_2En2w__sub) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,ty_2Enum_2Enum)
=> ! [X2] :
( mem(X2,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
=> ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f51,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) != ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2))
& p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
& mem(X2,ty_2Enum_2Enum) )
& mem(X1,ty_2Enum_2Enum) )
& ne(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f52,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) != ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2))
& p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
& mem(X2,ty_2Enum_2Enum) )
& mem(X1,ty_2Enum_2Enum) )
& ne(X0) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2))),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X3))) = ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2B,X2),X3)))
| ~ mem(X3,ty_2Enum_2Enum) )
| ~ mem(X2,ty_2Enum_2Enum) )
& ! [X4] :
( ! [X5] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X4)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X5))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X5),X4)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X4),X5))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X5),X4))))
| ~ mem(X5,ty_2Enum_2Enum) )
| ~ mem(X4,ty_2Enum_2Enum) ) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ap(ap(c_2Ewords_2Eword__sub(X0),X1),X2) = ap(ap(c_2Ewords_2Eword__add(X0),X1),ap(c_2Ewords_2Eword__2comp(X0),X2))
| ~ mem(X2,ty_2Efcp_2Ecart(bool,X0)) )
| ~ mem(X1,ty_2Efcp_2Ecart(bool,X0)) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
| ~ mem(X2,X0) )
| ~ mem(X1,X0) )
& ! [X3] :
( ! [X4] :
( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X3),X4) = X4
| ~ mem(X4,X0) )
| ~ mem(X3,X0) ) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f5]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f79,plain,
! [X0] :
( mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f81,plain,
! [X0] :
( mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ne(ty_2Efcp_2Ecart(X0,X1))
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f89,plain,
( ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)) != ap(ap(c_2Ewords_2Eword__sub(sK1),ap(c_2Ewords_2En2w(sK1),sK2)),ap(c_2Ewords_2En2w(sK1),sK3))
& p(ap(ap(c_2Earithmetic_2E_3C_3D,sK3),sK2))
& mem(sK3,ty_2Enum_2Enum)
& mem(sK2,ty_2Enum_2Enum)
& ne(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f52]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f66]) ).
fof(f114,plain,
ne(sK1),
inference(cnf_transformation,[],[f89]) ).
fof(f115,plain,
mem(sK2,ty_2Enum_2Enum),
inference(cnf_transformation,[],[f89]) ).
fof(f116,plain,
mem(sK3,ty_2Enum_2Enum),
inference(cnf_transformation,[],[f89]) ).
fof(f117,plain,
p(ap(ap(c_2Earithmetic_2E_3C_3D,sK3),sK2)),
inference(cnf_transformation,[],[f89]) ).
fof(f118,plain,
ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)) != ap(ap(c_2Ewords_2Eword__sub(sK1),ap(c_2Ewords_2En2w(sK1),sK2)),ap(c_2Ewords_2En2w(sK1),sK3)),
inference(cnf_transformation,[],[f89]) ).
fof(f119,plain,
! [X0,X1,X4,X5] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X4)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X5))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X5),X4)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X4),X5))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X5),X4))))
| ~ mem(X5,ty_2Enum_2Enum)
| ~ mem(X4,ty_2Enum_2Enum)
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ap(ap(c_2Ewords_2Eword__sub(X0),X1),X2) = ap(ap(c_2Ewords_2Eword__add(X0),X1),ap(c_2Ewords_2Eword__2comp(X0),X2))
| ~ mem(X2,ty_2Efcp_2Ecart(bool,X0))
| ~ mem(X1,ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
| ~ mem(X2,X0)
| ~ mem(X1,X0)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f142,plain,
! [X0,X1] :
( ~ mem(X1,bool)
| ~ p(X1)
| ~ p(X0)
| X0 = X1
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f94]) ).
fof(f143,plain,
ne(bool),
inference(cnf_transformation,[],[f1]) ).
fof(f179,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f16]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f188,plain,
! [X0] :
( mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f190,plain,
mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),
inference(cnf_transformation,[],[f21]) ).
fof(f191,plain,
mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))),
inference(cnf_transformation,[],[f20]) ).
fof(f194,plain,
! [X0] :
( mem(c_2Ewords_2Eword__2comp(X0),arr(ty_2Efcp_2Ecart(bool,X0),ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f195,plain,
! [X0,X1] :
( ne(ty_2Efcp_2Ecart(X0,X1))
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f198,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f15]) ).
fof(f229,definition,
( spl6_1
<=> ! [X0] : ~ ne(X0) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f230,plain,
( ! [X0] : ~ ne(X0)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl6_2
<=> ! [X4,X5,X1] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X4)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X5))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X5),X4)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X4),X5))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X5),X4))))
| ~ ne(X1)
| ~ mem(X4,ty_2Enum_2Enum)
| ~ mem(X5,ty_2Enum_2Enum) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f233,plain,
( ! [X1,X4,X5] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X4)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X5))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Earithmetic_2E_3C_3D,X5),X4)),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X4),X5))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X5),X4))))
| ~ ne(X1)
| ~ mem(X4,ty_2Enum_2Enum)
| ~ mem(X5,ty_2Enum_2Enum) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f119,f232,f229]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ mem(X0,arr(X3,bool))
| ~ p(X2)
| ap(X0,X1) = X2
| ~ mem(X2,bool)
| ~ mem(X1,X3)
| ~ p(ap(X0,X1)) ),
inference(resolution,[],[f142,f186]) ).
fof(f532,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ mem(X1,arr(X5,arr(X4,bool)))
| ap(ap(X1,X2),X3) = X0
| ~ mem(X0,bool)
| ~ mem(X3,X4)
| ~ p(ap(ap(X1,X2),X3))
| ~ mem(X2,X5)
| ~ p(X0) ),
inference(resolution,[],[f405,f186]) ).
fof(f533,plain,
! [X2,X0,X1] :
( ap(ap(c_2Earithmetic_2E_3C_3D,X0),X1) = X2
| ~ mem(X2,bool)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X0),X1))
| ~ mem(X0,ty_2Enum_2Enum)
| ~ p(X2) ),
inference(resolution,[],[f532,f190]) ).
fof(f536,plain,
( ! [X2,X3,X0,X1] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),X0),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2))))
| ~ ne(X1)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X3,ty_2Enum_2Enum)
| ~ mem(X0,bool)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2))
| ~ mem(X3,ty_2Enum_2Enum)
| ~ p(X0) )
| ~ spl6_2 ),
inference(superposition,[],[f233,f533]) ).
fof(f539,plain,
( ! [X2,X3,X0,X1] :
( ap(ap(c_2Ewords_2Eword__add(X1),ap(c_2Ewords_2En2w(X1),X2)),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),X3))) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),X0),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X2),X3))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(ap(c_2Earithmetic_2E_2D,X3),X2))))
| ~ ne(X1)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X3,ty_2Enum_2Enum)
| ~ mem(X0,bool)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X3),X2))
| ~ p(X0) )
| ~ spl6_2 ),
inference(duplicate_literal_removal,[],[f536]) ).
fof(f605,plain,
( ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2)))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(c_2Ebool_2ET,bool)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
| ~ p(c_2Ebool_2ET) )
| ~ spl6_2 ),
inference(superposition,[],[f123,f539]) ).
fof(f642,definition,
( spl6_5
<=> ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2)))
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ ne(X0)
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f643,plain,
( ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2)))
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ ne(X0)
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0)) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f650,plain,
( ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2)))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
| ~ p(c_2Ebool_2ET) )
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f605,f198]) ).
fof(f655,plain,
( ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__add(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),X2)))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1)) )
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f650,f179]) ).
fof(f657,plain,
( spl6_5
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f655,f232,f642]) ).
fof(f658,plain,
( $false
| ~ spl6_1 ),
inference(resolution,[],[f230,f143]) ).
fof(f665,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f1188,plain,
( ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2))
| ~ mem(ap(c_2Ewords_2En2w(X0),X2),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),X1),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ ne(X0)
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0)) )
| ~ spl6_5 ),
inference(superposition,[],[f121,f643]) ).
fof(f1190,plain,
( ! [X2,X0,X1] :
( ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)) = ap(ap(c_2Ewords_2Eword__sub(X0),ap(c_2Ewords_2En2w(X0),X1)),ap(c_2Ewords_2En2w(X0),X2))
| ~ mem(ap(c_2Ewords_2En2w(X0),X2),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),X1),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X2),X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Enum_2Enum)
| ~ ne(ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X1),X2)),ty_2Efcp_2Ecart(bool,X0))
| ~ mem(ap(c_2Ewords_2Eword__2comp(X0),ap(c_2Ewords_2En2w(X0),ap(ap(c_2Earithmetic_2E_2D,X2),X1))),ty_2Efcp_2Ecart(bool,X0)) )
| ~ spl6_5 ),
inference(duplicate_literal_removal,[],[f1188]) ).
fof(f1238,plain,
( ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)) != ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| ~ ne(sK1)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,sK3),sK2))
| ~ mem(sK3,ty_2Enum_2Enum)
| ~ mem(sK2,ty_2Enum_2Enum)
| ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| ~ spl6_5 ),
inference(superposition,[],[f118,f1190]) ).
fof(f1242,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| ~ ne(sK1)
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,sK3),sK2))
| ~ mem(sK3,ty_2Enum_2Enum)
| ~ mem(sK2,ty_2Enum_2Enum)
| ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f1238]) ).
fof(f1243,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,sK3),sK2))
| ~ mem(sK3,ty_2Enum_2Enum)
| ~ mem(sK2,ty_2Enum_2Enum)
| ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f1242,f114]) ).
fof(f1244,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(sK3,ty_2Enum_2Enum)
| ~ mem(sK2,ty_2Enum_2Enum)
| ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f1243,f117]) ).
fof(f1245,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(sK2,ty_2Enum_2Enum)
| ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f1244,f116]) ).
fof(f1246,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f1245,f115]) ).
fof(f1248,definition,
( spl6_11
<=> mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1)) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f1250,plain,
( ~ mem(ap(c_2Ewords_2Eword__2comp(sK1),ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2))),ty_2Efcp_2Ecart(bool,sK1))
| spl6_11 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1252,definition,
( spl6_12
<=> mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1)) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f1254,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK2),sK3)),ty_2Efcp_2Ecart(bool,sK1))
| spl6_12 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1256,definition,
( spl6_13
<=> ne(ty_2Efcp_2Ecart(bool,sK1)) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f1258,plain,
( ~ ne(ty_2Efcp_2Ecart(bool,sK1))
| spl6_13 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1260,definition,
( spl6_14
<=> mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1)) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f1262,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK2),ty_2Efcp_2Ecart(bool,sK1))
| spl6_14 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1264,definition,
( spl6_15
<=> mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1)) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f1266,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK1),sK3),ty_2Efcp_2Ecart(bool,sK1))
| spl6_15 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1267,plain,
( ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14
| ~ spl6_15
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f1246,f642,f1264,f1260,f1256,f1252,f1248]) ).
fof(f1268,plain,
( ! [X0] :
( ~ mem(ap(c_2Ewords_2En2w(sK1),ap(ap(c_2Earithmetic_2E_2D,sK3),sK2)),X0)
| ~ mem(c_2Ewords_2Eword__2comp(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1))) )
| spl6_11 ),
inference(resolution,[],[f1250,f186]) ).
fof(f1269,plain,
( ! [X0,X1] :
( ~ mem(c_2Ewords_2Eword__2comp(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1)))
| ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK3),sK2),X1)
| ~ mem(c_2Ewords_2En2w(sK1),arr(X1,X0)) )
| spl6_11 ),
inference(resolution,[],[f1268,f186]) ).
fof(f1270,plain,
( ! [X0] :
( ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK3),sK2),X0)
| ~ mem(c_2Ewords_2En2w(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1)))
| ~ ne(sK1) )
| spl6_11 ),
inference(resolution,[],[f1269,f194]) ).
fof(f1271,plain,
( ! [X0] :
( ~ mem(c_2Ewords_2En2w(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1)))
| ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK3),sK2),X0) )
| spl6_11 ),
inference(forward_subsumption_resolution,[],[f1270,f114]) ).
fof(f1272,plain,
( ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK3),sK2),ty_2Enum_2Enum)
| ~ ne(sK1)
| spl6_11 ),
inference(resolution,[],[f1271,f188]) ).
fof(f1273,plain,
( ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK3),sK2),ty_2Enum_2Enum)
| spl6_11 ),
inference(forward_subsumption_resolution,[],[f1272,f114]) ).
fof(f1274,plain,
( ! [X0] :
( ~ mem(ap(c_2Earithmetic_2E_2D,sK3),arr(X0,ty_2Enum_2Enum))
| ~ mem(sK2,X0) )
| spl6_11 ),
inference(resolution,[],[f1273,f186]) ).
fof(f1275,plain,
( ! [X0,X1] :
( ~ mem(c_2Earithmetic_2E_2D,arr(X1,arr(X0,ty_2Enum_2Enum)))
| ~ mem(sK3,X1)
| ~ mem(sK2,X0) )
| spl6_11 ),
inference(resolution,[],[f1274,f186]) ).
fof(f1276,plain,
( ~ mem(sK3,ty_2Enum_2Enum)
| ~ mem(sK2,ty_2Enum_2Enum)
| spl6_11 ),
inference(resolution,[],[f1275,f191]) ).
fof(f1277,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| spl6_11 ),
inference(forward_subsumption_resolution,[],[f1276,f116]) ).
fof(f1278,plain,
( $false
| spl6_11 ),
inference(forward_subsumption_resolution,[],[f1277,f115]) ).
fof(f1279,plain,
spl6_11,
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1280,plain,
( ! [X0] :
( ~ mem(c_2Ewords_2En2w(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1)))
| ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK2),sK3),X0) )
| spl6_12 ),
inference(resolution,[],[f1254,f186]) ).
fof(f1281,plain,
( ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK2),sK3),ty_2Enum_2Enum)
| ~ ne(sK1)
| spl6_12 ),
inference(resolution,[],[f1280,f188]) ).
fof(f1282,plain,
( ~ mem(ap(ap(c_2Earithmetic_2E_2D,sK2),sK3),ty_2Enum_2Enum)
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f1281,f114]) ).
fof(f1283,plain,
( ! [X0] :
( ~ mem(ap(c_2Earithmetic_2E_2D,sK2),arr(X0,ty_2Enum_2Enum))
| ~ mem(sK3,X0) )
| spl6_12 ),
inference(resolution,[],[f1282,f186]) ).
fof(f1284,plain,
( ! [X0,X1] :
( ~ mem(c_2Earithmetic_2E_2D,arr(X1,arr(X0,ty_2Enum_2Enum)))
| ~ mem(sK2,X1)
| ~ mem(sK3,X0) )
| spl6_12 ),
inference(resolution,[],[f1283,f186]) ).
fof(f1285,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| ~ mem(sK3,ty_2Enum_2Enum)
| spl6_12 ),
inference(resolution,[],[f1284,f191]) ).
fof(f1286,plain,
( ~ mem(sK3,ty_2Enum_2Enum)
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f1285,f115]) ).
fof(f1287,plain,
( $false
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f1286,f116]) ).
fof(f1288,plain,
spl6_12,
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1289,plain,
( ~ ne(sK1)
| ~ ne(bool)
| spl6_13 ),
inference(resolution,[],[f1258,f195]) ).
fof(f1290,plain,
( ~ ne(bool)
| spl6_13 ),
inference(forward_subsumption_resolution,[],[f1289,f114]) ).
fof(f1291,plain,
( $false
| spl6_13 ),
inference(forward_subsumption_resolution,[],[f1290,f143]) ).
fof(f1292,plain,
spl6_13,
inference(avatar_contradiction_clause,[],[f1291]) ).
fof(f1293,plain,
( ! [X0] :
( ~ mem(c_2Ewords_2En2w(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1)))
| ~ mem(sK2,X0) )
| spl6_14 ),
inference(resolution,[],[f1262,f186]) ).
fof(f1294,plain,
( ~ mem(sK2,ty_2Enum_2Enum)
| ~ ne(sK1)
| spl6_14 ),
inference(resolution,[],[f1293,f188]) ).
fof(f1295,plain,
( ~ ne(sK1)
| spl6_14 ),
inference(forward_subsumption_resolution,[],[f1294,f115]) ).
fof(f1296,plain,
( $false
| spl6_14 ),
inference(forward_subsumption_resolution,[],[f1295,f114]) ).
fof(f1297,plain,
spl6_14,
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1298,plain,
( ! [X0] :
( ~ mem(c_2Ewords_2En2w(sK1),arr(X0,ty_2Efcp_2Ecart(bool,sK1)))
| ~ mem(sK3,X0) )
| spl6_15 ),
inference(resolution,[],[f1266,f186]) ).
fof(f1299,plain,
( ~ mem(sK3,ty_2Enum_2Enum)
| ~ ne(sK1)
| spl6_15 ),
inference(resolution,[],[f1298,f188]) ).
fof(f1300,plain,
( ~ ne(sK1)
| spl6_15 ),
inference(forward_subsumption_resolution,[],[f1299,f116]) ).
fof(f1301,plain,
( $false
| spl6_15 ),
inference(forward_subsumption_resolution,[],[f1300,f114]) ).
fof(f1302,plain,
spl6_15,
inference(avatar_contradiction_clause,[],[f1301]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s9,plain,
( ~ spl6_2
| spl6_5 ),
inference(sat_conversion,[],[f657]) ).
cnf(s13,plain,
~ spl6_1,
inference(sat_conversion,[],[f665]) ).
cnf(s25,plain,
( ~ spl6_5
| ~ spl6_11
| ~ spl6_12
| ~ spl6_13
| ~ spl6_14
| ~ spl6_15 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s26,plain,
spl6_11,
inference(sat_conversion,[],[f1279]) ).
cnf(s27,plain,
spl6_12,
inference(sat_conversion,[],[f1288]) ).
cnf(s28,plain,
spl6_13,
inference(sat_conversion,[],[f1292]) ).
cnf(s29,plain,
spl6_14,
inference(sat_conversion,[],[f1297]) ).
cnf(s30,plain,
spl6_15,
inference(sat_conversion,[],[f1302]) ).
cnf(s31,plain,
~ spl6_5,
inference(rat,[],[s25,s30,s29,s28,s27,s26]) ).
cnf(s39,plain,
~ spl6_2,
inference(rat,[],[s9,s31]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s39,s13]) ).
fof(f1303,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n014.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 11:59:16 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 11.56/2.34 % (680690)Detected formulas, will run a generic FOF schedule.
% 11.56/2.34 % (680699)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2679636588:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.56/2.34 % (680700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4161491453:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.56/2.34 % (680698)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3429141840:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.56/2.34 % (680696)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=1283577909:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.56/2.34 % (680695)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=1129653114:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.56/2.34 % (680697)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=3109352090:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.56/2.34 % (680701)dis-21_1_sil=8000:lcm=predicate:random_seed=2567011407:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.56/2.34 % (680698)Refutation not found, incomplete strategy
% 11.56/2.34 % (680698)------------------------------
% 11.56/2.34 % (680698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.34 % (680698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.34 % (680698)CaDiCaL version: 2.1.3
% 11.56/2.34 % (680698)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.34 % (680698)Time elapsed: 0.003 s
% 11.56/2.34 % (680698)Peak memory usage: 88 MB
% 11.56/2.34 % (680698)Instructions burned: 3 (million)
% 11.56/2.34 % (680699)Instruction limit reached!
% 11.56/2.34 % (680699)------------------------------
% 11.56/2.34 % (680699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.34 % (680699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.34 % (680699)CaDiCaL version: 2.1.3
% 11.56/2.34 % (680699)Termination reason: Instruction limit
% 11.56/2.34 % (680699)Termination phase: Saturation
% 11.56/2.34 % (680699)Time elapsed: 0.067 s
% 11.56/2.34 % (680699)Peak memory usage: 88 MB
% 11.56/2.34 % (680699)Instructions burned: 121 (million)
% 11.56/2.34 % (680701)Instruction limit reached!
% 11.56/2.34 % (680701)------------------------------
% 11.56/2.34 % (680701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.34 % (680701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.34 % (680701)CaDiCaL version: 2.1.3
% 11.56/2.34 % (680701)Termination reason: Instruction limit
% 11.56/2.34 % (680701)Termination phase: Saturation
% 11.56/2.34 % (680701)Time elapsed: 0.078 s
% 11.56/2.34 % (680701)Peak memory usage: 89 MB
% 11.56/2.34 % (680701)Instructions burned: 130 (million)
% 11.56/2.34 % (680700)Instruction limit reached!
% 11.56/2.34 % (680700)------------------------------
% 11.56/2.34 % (680700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.34 % (680700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.34 % (680700)CaDiCaL version: 2.1.3
% 11.56/2.34 % (680700)Termination reason: Instruction limit
% 11.56/2.34 % (680700)Termination phase: Saturation
% 11.56/2.34 % (680700)Time elapsed: 0.092 s
% 11.56/2.34 % (680700)Peak memory usage: 89 MB
% 11.56/2.34 % (680700)Instructions burned: 139 (million)
% 11.56/2.34 % (680709)lrs+10_1_sil=8000:sp=occurrence:random_seed=2908595282:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.56/2.34 % (680710)lrs+10_1_sil=32000:urr=on:br=off:random_seed=773977946:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.56/2.34 % (680711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3120972720:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.56/2.34 % (680698)------------------------------
% 11.56/2.34 % (680698)------------------------------
% 11.56/2.34 % (680710)Instruction limit reached!
% 11.56/2.34 % (680710)------------------------------
% 11.56/2.34 % (680710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.34 % (680710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680710)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680710)Termination reason: Instruction limit
% 14.75/2.83 % (680710)Termination phase: Saturation
% 14.75/2.83 % (680710)Time elapsed: 0.075 s
% 14.75/2.83 % (680710)Peak memory usage: 91 MB
% 14.75/2.83 % (680710)Instructions burned: 157 (million)
% 14.75/2.83 % (680711)Instruction limit reached!
% 14.75/2.83 % (680711)------------------------------
% 14.75/2.83 % (680711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680711)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680711)Termination reason: Instruction limit
% 14.75/2.83 % (680711)Termination phase: Saturation
% 14.75/2.83 % (680711)Time elapsed: 0.108 s
% 14.75/2.83 % (680711)Peak memory usage: 91 MB
% 14.75/2.83 % (680711)Instructions burned: 327 (million)
% 14.75/2.83 % (680709)Instruction limit reached!
% 14.75/2.83 % (680709)------------------------------
% 14.75/2.83 % (680709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680709)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680709)Termination reason: Instruction limit
% 14.75/2.83 % (680709)Termination phase: Saturation
% 14.75/2.83 % (680709)Time elapsed: 0.151 s
% 14.75/2.83 % (680709)Peak memory usage: 90 MB
% 14.75/2.83 % (680709)Instructions burned: 287 (million)
% 14.75/2.83 % (680715)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=2786705353:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.75/2.83 % (680716)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1334832629:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.75/2.83 % (680716)Refutation not found, incomplete strategy
% 14.75/2.83 % (680716)------------------------------
% 14.75/2.83 % (680716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680716)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680716)Termination reason: Refutation not found, incomplete strategy
% 14.75/2.83 % (680716)Time elapsed: 0.004 s
% 14.75/2.83 % (680716)Peak memory usage: 88 MB
% 14.75/2.83 % (680716)Instructions burned: 5 (million)
% 14.75/2.83 % (680717)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=906368395:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.75/2.83 % (680715)Instruction limit reached!
% 14.75/2.83 % (680715)------------------------------
% 14.75/2.83 % (680715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680715)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680715)Termination reason: Instruction limit
% 14.75/2.83 % (680715)Termination phase: Saturation
% 14.75/2.83 % (680715)Time elapsed: 0.129 s
% 14.75/2.83 % (680715)Peak memory usage: 93 MB
% 14.75/2.83 % (680715)Instructions burned: 250 (million)
% 14.75/2.83 % (680718)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3913372409:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.75/2.83 % (680718)Instruction limit reached!
% 14.75/2.83 % (680718)------------------------------
% 14.75/2.83 % (680718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680718)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680718)Termination reason: Instruction limit
% 14.75/2.83 % (680718)Termination phase: Saturation
% 14.75/2.83 % (680718)Time elapsed: 0.072 s
% 14.75/2.83 % (680718)Peak memory usage: 91 MB
% 14.75/2.83 % (680718)Instructions burned: 114 (million)
% 14.75/2.83 % (680716)------------------------------
% 14.75/2.83 % (680716)------------------------------
% 14.75/2.83 % (680722)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=907052623:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.75/2.83 % (680722)Instruction limit reached!
% 14.75/2.83 % (680722)------------------------------
% 14.75/2.83 % (680722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680722)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680722)Termination reason: Instruction limit
% 14.75/2.83 % (680722)Termination phase: Saturation
% 14.75/2.83 % (680722)Time elapsed: 0.064 s
% 14.75/2.83 % (680722)Peak memory usage: 89 MB
% 14.75/2.83 % (680722)Instructions burned: 129 (million)
% 14.75/2.83 % (680724)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4028729056:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.75/2.83 % (680726)lrs+10_1_sil=8000:sp=occurrence:random_seed=4143358432:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 14.75/2.83 % (680724)Instruction limit reached!
% 14.75/2.83 % (680724)------------------------------
% 14.75/2.83 % (680724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680724)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680724)Termination reason: Instruction limit
% 14.75/2.83 % (680724)Termination phase: Saturation
% 14.75/2.83 % (680724)Time elapsed: 0.063 s
% 14.75/2.83 % (680724)Peak memory usage: 89 MB
% 14.75/2.83 % (680724)Instructions burned: 114 (million)
% 14.75/2.83 % (680727)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1484325455:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 14.75/2.83 % (680727)Refutation not found, incomplete strategy
% 14.75/2.83 % (680727)------------------------------
% 14.75/2.83 % (680727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680727)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680727)Termination reason: Refutation not found, incomplete strategy
% 14.75/2.83 % (680727)Time elapsed: 0.004 s
% 14.75/2.83 % (680727)Peak memory usage: 88 MB
% 14.75/2.83 % (680727)Instructions burned: 5 (million)
% 14.75/2.83 % (680730)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3220969223:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 14.75/2.83 % (680727)------------------------------
% 14.75/2.83 % (680727)------------------------------
% 14.75/2.83 % (680717)Instruction limit reached!
% 14.75/2.83 % (680717)------------------------------
% 14.75/2.83 % (680717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680717)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680717)Termination reason: Instruction limit
% 14.75/2.83 % (680717)Termination phase: Saturation
% 14.75/2.83 % (680717)Time elapsed: 0.828 s
% 14.75/2.83 % (680717)Peak memory usage: 142 MB
% 14.75/2.83 % (680717)Instructions burned: 2352 (million)
% 14.75/2.83 % (680733)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=762522135:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 14.75/2.83 % (680726)Instruction limit reached!
% 14.75/2.83 % (680726)------------------------------
% 14.75/2.83 % (680726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680726)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680726)Termination reason: Instruction limit
% 14.75/2.83 % (680726)Termination phase: Saturation
% 14.75/2.83 % (680726)Time elapsed: 0.487 s
% 14.75/2.83 % (680726)Peak memory usage: 98 MB
% 14.75/2.83 % (680726)Instructions burned: 907 (million)
% 14.75/2.83 % (680733)Instruction limit reached!
% 14.75/2.83 % (680733)------------------------------
% 14.75/2.83 % (680733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680733)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680733)Termination reason: Instruction limit
% 14.75/2.83 % (680733)Termination phase: Saturation
% 14.75/2.83 % (680733)Time elapsed: 0.070 s
% 14.75/2.83 % (680733)Peak memory usage: 90 MB
% 14.75/2.83 % (680733)Instructions burned: 136 (million)
% 14.75/2.83 % (680734)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3299296582:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 14.75/2.83 % (680736)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=591558940:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 14.75/2.83 % (680737)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=1941392587:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 14.75/2.83 % (680734)Instruction limit reached!
% 14.75/2.83 % (680734)------------------------------
% 14.75/2.83 % (680734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680734)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680734)Termination reason: Instruction limit
% 14.75/2.83 % (680734)Termination phase: Saturation
% 14.75/2.83 % (680734)Time elapsed: 0.150 s
% 14.75/2.83 % (680734)Peak memory usage: 90 MB
% 14.75/2.83 % (680734)Instructions burned: 596 (million)
% 14.75/2.83 % (680737)Instruction limit reached!
% 14.75/2.83 % (680737)------------------------------
% 14.75/2.83 % (680737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680737)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680737)Termination reason: Instruction limit
% 14.75/2.83 % (680737)Termination phase: Saturation
% 14.75/2.83 % (680737)Time elapsed: 0.073 s
% 14.75/2.83 % (680737)Peak memory usage: 91 MB
% 14.75/2.83 % (680737)Instructions burned: 127 (million)
% 14.75/2.83 % (680741)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3304838076:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 14.75/2.83 % (680741)Instruction limit reached!
% 14.75/2.83 % (680741)------------------------------
% 14.75/2.83 % (680741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680741)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680741)Termination reason: Instruction limit
% 14.75/2.83 % (680741)Termination phase: Saturation
% 14.75/2.83 % (680741)Time elapsed: 0.046 s
% 14.75/2.83 % (680741)Peak memory usage: 91 MB
% 14.75/2.83 % (680741)Instructions burned: 135 (million)
% 14.75/2.83 % (680730)First to succeed.
% 14.75/2.83 % (680730)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-680690"
% 14.75/2.83 % (680742)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2740363717:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 14.75/2.83 % (680742)Instruction limit reached!
% 14.75/2.83 % (680742)------------------------------
% 14.75/2.83 % (680742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680742)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680742)Termination reason: Instruction limit
% 14.75/2.83 % (680742)Termination phase: Saturation
% 14.75/2.83 % (680742)Time elapsed: 0.078 s
% 14.75/2.83 % (680742)Peak memory usage: 90 MB
% 14.75/2.83 % (680742)Instructions burned: 143 (million)
% 14.75/2.83 % (680744)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1149100964:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 14.75/2.83 % (680744)Instruction limit reached!
% 14.75/2.83 % (680744)------------------------------
% 14.75/2.83 % (680744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.75/2.83 % (680744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.83 % (680744)CaDiCaL version: 2.1.3
% 14.75/2.83 % (680744)Termination reason: Instruction limit
% 14.75/2.83 % (680744)Termination phase: Saturation
% 14.75/2.83 % (680744)Time elapsed: 0.124 s
% 14.75/2.83 % (680744)Peak memory usage: 95 MB
% 14.75/2.83 % (680744)Instructions burned: 433 (million)
% 14.75/2.83 % (680746)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=2885283144:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 14.75/2.83 % (680730)Refutation found. Thanks to Tanya!
% 14.75/2.83 % SZS status Theorem for theBenchmark
% 14.75/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 15.90/3.03 % (680730)------------------------------
% 15.90/3.03 % (680730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.90/3.03 % (680730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/3.03 % (680730)CaDiCaL version: 2.1.3
% 15.90/3.03 % (680730)Termination reason: Refutation
% 15.90/3.03 % (680730)Time elapsed: 0.769 s
% 15.90/3.03 % (680730)Peak memory usage: 131 MB
% 15.90/3.03 % (680730)Instructions burned: 1162 (million)
% 15.90/3.03 % (680730)------------------------------
% 15.90/3.03 % (680730)------------------------------
% 15.90/3.03 % (680690)Success in time 2.206 s
% 15.90/3.03 % Vampire exiting
%------------------------------------------------------------------------------