%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP012+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 11:34:57 AM UTC 2026
% Result : Theorem 14.66s 6.69s
% Output : Refutation 14.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 25 unt; 6 def)
% Number of atoms : 253 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 304 ( 125 ~; 118 |; 32 &)
% ( 9 <=>; 18 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 76 ( 64 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(f16,axiom,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__neg) ).
fof(f44,axiom,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__sub,X0),X1) = ap(ap(c_2Einteger_2Eint__add,X0),ap(c_2Einteger_2Eint__neg,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
fof(f45,axiom,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
fof(f46,axiom,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X0)),X1))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(f57,conjecture,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(f58,negated_conjecture,
~ ! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
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(f108,plain,
! [X0] :
( ! [X1] :
( ap(ap(c_2Einteger_2Eint__sub,X0),X1) = ap(ap(c_2Einteger_2Eint__add,X0),ap(c_2Einteger_2Eint__neg,X1))
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f44]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f45]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X0)),X1))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) ) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f46]) ).
fof(f124,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<~> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f58]) ).
fof(f125,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<~> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f124]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1))) ) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(nnf_transformation,[],[f110]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X0)),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X0)),X1)) ) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(nnf_transformation,[],[f111]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X0)),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X0)),X1)) ) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f189]) ).
fof(f236,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(nnf_transformation,[],[f125]) ).
fof(f237,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK26),sK28))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,sK26),ap(ap(c_2Einteger_2Eint__sub,sK28),sK27))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,sK26),sK28))
| p(ap(ap(c_2Einteger_2Eint__divides,sK26),ap(ap(c_2Einteger_2Eint__sub,sK28),sK27))) )
& p(ap(ap(c_2Einteger_2Eint__divides,sK26),sK27))
& mem(sK28,ty_2Einteger_2Eint)
& mem(sK27,ty_2Einteger_2Eint)
& mem(sK26,ty_2Einteger_2Eint) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28]),skolemize(X0,sK26),skolemize(X1,sK27),skolemize(X2,sK28)],[f237]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f258,plain,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
inference(cnf_transformation,[],[f16]) ).
fof(f342,plain,
! [X0,X1] :
( ~ mem(X1,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,X0),X1) = ap(ap(c_2Einteger_2Eint__add,X0),ap(c_2Einteger_2Eint__neg,X1))
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f108]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1)))
| p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f188]) ).
fof(f344,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X2),X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f188]) ).
fof(f348,plain,
! [X0,X1] :
( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(c_2Einteger_2Eint__neg,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f190]) ).
fof(f454,plain,
mem(sK26,ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f238]) ).
fof(f455,plain,
mem(sK27,ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f238]) ).
fof(f456,plain,
mem(sK28,ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f238]) ).
fof(f457,plain,
p(ap(ap(c_2Einteger_2Eint__divides,sK26),sK27)),
inference(cnf_transformation,[],[f238]) ).
fof(f458,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,sK26),sK28))
| p(ap(ap(c_2Einteger_2Eint__divides,sK26),ap(ap(c_2Einteger_2Eint__sub,sK28),sK27))) ),
inference(cnf_transformation,[],[f238]) ).
fof(f459,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK26),sK28))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,sK26),ap(ap(c_2Einteger_2Eint__sub,sK28),sK27))) ),
inference(cnf_transformation,[],[f238]) ).
fof(f461,definition,
sF29 = ap(c_2Einteger_2Eint__divides,sK26),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f462,plain,
ap(c_2Einteger_2Eint__divides,sK26) = sF29,
inference(reorient_equations,[],[f461]) ).
fof(f463,definition,
sF30 = ap(sF29,sK28),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f464,plain,
ap(sF29,sK28) = sF30,
inference(reorient_equations,[],[f463]) ).
fof(f465,definition,
sF31 = ap(c_2Einteger_2Eint__sub,sK28),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f466,plain,
ap(c_2Einteger_2Eint__sub,sK28) = sF31,
inference(reorient_equations,[],[f465]) ).
fof(f467,definition,
sF32 = ap(sF31,sK27),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f468,plain,
ap(sF31,sK27) = sF32,
inference(reorient_equations,[],[f467]) ).
fof(f469,definition,
sF33 = ap(sF29,sF32),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f470,plain,
ap(sF29,sF32) = sF33,
inference(reorient_equations,[],[f469]) ).
fof(f471,plain,
( ~ p(sF33)
| ~ p(sF30) ),
inference(definition_folding,[],[f459,f470,f468,f466,f462,f464,f462]) ).
fof(f472,plain,
( p(sF33)
| p(sF30) ),
inference(definition_folding,[],[f458,f470,f468,f466,f462,f464,f462]) ).
fof(f473,definition,
sF34 = ap(sF29,sK27),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f474,plain,
ap(sF29,sK27) = sF34,
inference(reorient_equations,[],[f473]) ).
fof(f475,plain,
p(sF34),
inference(definition_folding,[],[f457,f474,f462]) ).
fof(f661,plain,
! [X0] :
( mem(ap(c_2Einteger_2Eint__neg,X0),ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(resolution,[],[f242,f258]) ).
fof(f921,plain,
! [X0] :
( ~ mem(X0,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,X0),sK27) = ap(ap(c_2Einteger_2Eint__add,X0),ap(c_2Einteger_2Eint__neg,sK27)) ),
inference(resolution,[],[f342,f455]) ).
fof(f966,plain,
! [X0] :
( p(ap(sF29,ap(c_2Einteger_2Eint__neg,X0)))
| ~ p(ap(sF29,X0))
| ~ mem(X0,ty_2Einteger_2Eint)
| ~ mem(sK26,ty_2Einteger_2Eint) ),
inference(superposition,[],[f348,f462]) ).
fof(f968,plain,
! [X0] :
( p(ap(sF29,ap(c_2Einteger_2Eint__neg,X0)))
| ~ p(ap(sF29,X0))
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f966,f454]) ).
fof(f987,plain,
ap(ap(c_2Einteger_2Eint__sub,sK28),sK27) = ap(ap(c_2Einteger_2Eint__add,sK28),ap(c_2Einteger_2Eint__neg,sK27)),
inference(resolution,[],[f921,f456]) ).
fof(f992,plain,
ap(sF31,sK27) = ap(ap(c_2Einteger_2Eint__add,sK28),ap(c_2Einteger_2Eint__neg,sK27)),
inference(forward_demodulation,[],[f987,f466]) ).
fof(f993,plain,
sF32 = ap(ap(c_2Einteger_2Eint__add,sK28),ap(c_2Einteger_2Eint__neg,sK27)),
inference(forward_demodulation,[],[f992,f468]) ).
fof(f995,plain,
! [X0,X1] :
( ~ p(ap(sF29,ap(ap(c_2Einteger_2Eint__add,X0),X1)))
| p(ap(sF29,X0))
| ~ p(ap(sF29,X1))
| ~ mem(X0,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(sK26,ty_2Einteger_2Eint) ),
inference(superposition,[],[f343,f462]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ p(ap(sF29,ap(ap(c_2Einteger_2Eint__add,X0),X1)))
| p(ap(sF29,X0))
| ~ p(ap(sF29,X1))
| ~ mem(X0,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f995,f454]) ).
fof(f1009,plain,
! [X0,X1] :
( p(ap(sF29,ap(ap(c_2Einteger_2Eint__add,X0),X1)))
| ~ p(ap(sF29,X0))
| ~ p(ap(sF29,X1))
| ~ mem(X0,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(sK26,ty_2Einteger_2Eint) ),
inference(superposition,[],[f344,f462]) ).
fof(f1021,plain,
! [X0,X1] :
( p(ap(sF29,ap(ap(c_2Einteger_2Eint__add,X0),X1)))
| ~ p(ap(sF29,X0))
| ~ p(ap(sF29,X1))
| ~ mem(X0,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1009,f454]) ).
fof(f1049,plain,
( ~ p(ap(sF29,sF32))
| p(ap(sF29,sK28))
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(sK28,ty_2Einteger_2Eint)
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(superposition,[],[f1003,f993]) ).
fof(f1053,plain,
( ~ p(ap(sF29,sF32))
| p(ap(sF29,sK28))
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1049,f456]) ).
fof(f1057,plain,
( ~ p(sF33)
| p(ap(sF29,sK28))
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_demodulation,[],[f1053,f470]) ).
fof(f1061,plain,
( p(sF30)
| ~ p(sF33)
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_demodulation,[],[f1057,f464]) ).
fof(f1062,plain,
( p(sF30)
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1061,f472]) ).
fof(f1074,plain,
( p(ap(sF29,sF32))
| ~ p(ap(sF29,sK28))
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(sK28,ty_2Einteger_2Eint)
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(superposition,[],[f1021,f993]) ).
fof(f1082,plain,
( p(ap(sF29,sF32))
| ~ p(ap(sF29,sK28))
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1074,f456]) ).
fof(f1089,plain,
( p(sF33)
| ~ p(ap(sF29,sK28))
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_demodulation,[],[f1082,f470]) ).
fof(f1096,plain,
( ~ p(sF30)
| p(sF33)
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_demodulation,[],[f1089,f464]) ).
fof(f1099,plain,
( ~ p(sF30)
| ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1096,f471]) ).
fof(f1100,plain,
( ~ p(ap(sF29,ap(c_2Einteger_2Eint__neg,sK27)))
| ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1099,f1062]) ).
fof(f1101,plain,
( ~ mem(ap(c_2Einteger_2Eint__neg,sK27),ty_2Einteger_2Eint)
| ~ p(ap(sF29,sK27))
| ~ mem(sK27,ty_2Einteger_2Eint) ),
inference(resolution,[],[f1100,f968]) ).
fof(f1102,plain,
( ~ p(ap(sF29,sK27))
| ~ mem(sK27,ty_2Einteger_2Eint) ),
inference(forward_subsumption_resolution,[],[f1101,f661]) ).
fof(f1103,plain,
~ p(ap(sF29,sK27)),
inference(forward_subsumption_resolution,[],[f1102,f455]) ).
fof(f1104,plain,
~ p(sF34),
inference(forward_demodulation,[],[f1103,f474]) ).
fof(f1105,plain,
$false,
inference(forward_subsumption_resolution,[],[f1104,f475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP012+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44 % Computer : n006.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.45 % DateTime : Sun Sep 27 11:57:55 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.51 Running first-order model finding
% 0.19/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.64/3.15 % (2849165)Will run a generic schedule for satisfiability detection.
% 18.64/3.15 % (2849173)dis+10_1_sil=32000:sp=arity:random_seed=1944026519:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.64/3.15 % (2849176)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=771910050:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.64/3.15 % (2849170)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2735340854_2999 on theBenchmark for (2999ds/0Mi)
% 18.64/3.15 % (2849175)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3613296035:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.64/3.15 % (2849172)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2880737333:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.64/3.15 % (2849174)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1568394751:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.64/3.15 % (2849171)% WARNING: option uhcvi not known.
% 18.64/3.15 % (2849173)Instruction limit reached!
% 18.64/3.15 % (2849173)------------------------------
% 18.64/3.15 % (2849173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.15 % (2849173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.15 % (2849173)CaDiCaL version: 2.1.3
% 18.64/3.15 % (2849173)Termination reason: Instruction limit
% 18.64/3.15 % (2849173)Termination phase: Saturation
% 18.64/3.15 % (2849173)Time elapsed: 0.036 s
% 18.64/3.15 % (2849173)Peak memory usage: 13 MB
% 18.64/3.15 % (2849173)Instructions burned: 104 (million)
% 18.64/3.15 % (2849171)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2867936656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.64/3.15 % (2849184)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2064384790:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 18.64/3.15 % TRYING [1]
% 18.64/3.15 % TRYING [2]
% 18.64/3.15 % TRYING [1]
% 18.64/3.15 % TRYING [2]
% 18.64/3.15 % TRYING [3]
% 18.64/3.15 % TRYING [3]
% 18.64/3.15 % TRYING [4]
% 18.64/3.15 % TRYING [4]
% 18.64/3.15 % (2849175)Instruction limit reached!
% 18.64/3.15 % (2849175)------------------------------
% 18.64/3.15 % (2849175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.15 % (2849175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.15 % (2849175)CaDiCaL version: 2.1.3
% 18.64/3.15 % (2849175)Termination reason: Instruction limit
% 18.64/3.15 % (2849175)Termination phase: Saturation
% 18.64/3.15 % (2849175)Time elapsed: 0.118 s
% 18.64/3.15 % (2849175)Peak memory usage: 13 MB
% 18.64/3.15 % (2849175)Instructions burned: 131 (million)
% 18.64/3.15 % (2849174)Instruction limit reached!
% 18.64/3.15 % (2849174)------------------------------
% 18.64/3.15 % (2849174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.15 % (2849174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.15 % (2849174)CaDiCaL version: 2.1.3
% 18.64/3.15 % (2849174)Termination reason: Instruction limit
% 18.64/3.15 % (2849174)Termination phase: Saturation
% 18.64/3.15 % (2849174)Time elapsed: 0.122 s
% 18.64/3.15 % (2849174)Peak memory usage: 13 MB
% 18.64/3.15 % (2849174)Instructions burned: 119 (million)
% 18.64/3.15 % (2849188)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3091127705:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.64/3.15 % (2849176)Instruction limit reached!
% 18.64/3.15 % (2849176)------------------------------
% 18.64/3.15 % (2849176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.15 % (2849176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.15 % (2849176)CaDiCaL version: 2.1.3
% 18.64/3.15 % (2849176)Termination reason: Instruction limit
% 18.64/3.15 % (2849176)Termination phase: Saturation
% 18.64/3.15 % (2849176)Time elapsed: 0.143 s
% 18.64/3.15 % (2849176)Peak memory usage: 13 MB
% 18.64/3.15 % (2849176)Instructions burned: 159 (million)
% 18.64/3.15 % TRYING [5]
% 18.64/3.15 % (2849189)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3895123822:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.64/3.15 % (2849191)ott-21_1_sil=16000:fs=off:random_seed=1849518924:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 18.64/3.15 % (2849188)Instruction limit reached!
% 18.64/3.15 % (2849188)------------------------------
% 18.64/3.15 % (2849188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849188)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849188)Termination reason: Instruction limit
% 14.66/6.69 % (2849188)Termination phase: Saturation
% 14.66/6.69 % (2849188)Time elapsed: 0.045 s
% 14.66/6.69 % (2849188)Peak memory usage: 13 MB
% 14.66/6.69 % (2849188)Instructions burned: 133 (million)
% 14.66/6.69 % (2849194)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2103170409:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.66/6.69 % TRYING [5]
% 14.66/6.69 % (2849191)Instruction limit reached!
% 14.66/6.69 % (2849191)------------------------------
% 14.66/6.69 % (2849191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849191)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849191)Termination reason: Instruction limit
% 14.66/6.69 % (2849191)Termination phase: Saturation
% 14.66/6.69 % (2849191)Time elapsed: 0.158 s
% 14.66/6.69 % (2849191)Peak memory usage: 12 MB
% 14.66/6.69 % (2849191)Instructions burned: 180 (million)
% 14.66/6.69 % (2849197)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1451463708:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 14.66/6.69 % TRYING [1]
% 14.66/6.69 % TRYING [2]
% 14.66/6.69 % (2849194)Instruction limit reached!
% 14.66/6.69 % (2849194)------------------------------
% 14.66/6.69 % (2849194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849194)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849194)Termination reason: Instruction limit
% 14.66/6.69 % (2849194)Termination phase: Saturation
% 14.66/6.69 % (2849194)Time elapsed: 0.214 s
% 14.66/6.69 % (2849194)Peak memory usage: 14 MB
% 14.66/6.69 % (2849194)Instructions burned: 478 (million)
% 14.66/6.69 % (2849199)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1303621101:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 14.66/6.69 % TRYING [3]
% 14.66/6.69 % (2849184)Instruction limit reached!
% 14.66/6.69 % (2849184)------------------------------
% 14.66/6.69 % (2849184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849184)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849184)Termination reason: Instruction limit
% 14.66/6.69 % (2849184)Termination phase: Finite model building SAT solving
% 14.66/6.69 % (2849184)Time elapsed: 0.413 s
% 14.66/6.69 % (2849184)Peak memory usage: 26 MB
% 14.66/6.69 % (2849184)Instructions burned: 714 (million)
% 14.66/6.69 % (2849201)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=209483537:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.66/6.69 % TRYING [4]
% 14.66/6.69 % TRYING [6]
% 14.66/6.69 % TRYING [5]
% 14.66/6.69 % TRYING [14]
% 14.66/6.69 % (2849189)Instruction limit reached!
% 14.66/6.69 % (2849189)------------------------------
% 14.66/6.69 % (2849189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849189)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849189)Termination reason: Instruction limit
% 14.66/6.69 % (2849189)Termination phase: Saturation
% 14.66/6.69 % (2849189)Time elapsed: 0.666 s
% 14.66/6.69 % (2849189)Peak memory usage: 19 MB
% 14.66/6.69 % (2849189)Instructions burned: 685 (million)
% 14.66/6.69 % (2849205)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1929610626:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 14.66/6.69 % TRYING [6]
% 14.66/6.69 % (2849197)Instruction limit reached!
% 14.66/6.69 % (2849197)------------------------------
% 14.66/6.69 % (2849197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849197)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849197)Termination reason: Instruction limit
% 14.66/6.69 % (2849197)Termination phase: Finite model building constraint generation
% 14.66/6.69 % (2849197)Time elapsed: 0.632 s
% 14.66/6.69 % (2849197)Peak memory usage: 24 MB
% 14.66/6.69 % (2849197)Instructions burned: 865 (million)
% 14.66/6.69 % (2849199)Instruction limit reached!
% 14.66/6.69 % (2849199)------------------------------
% 14.66/6.69 % (2849199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849199)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849199)Termination reason: Instruction limit
% 14.66/6.69 % (2849199)Termination phase: Saturation
% 14.66/6.69 % (2849199)Time elapsed: 0.585 s
% 14.66/6.69 % (2849199)Peak memory usage: 21 MB
% 14.66/6.69 % (2849199)Instructions burned: 1179 (million)
% 14.66/6.69 % (2849207)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2256431096:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 14.66/6.69 % (2849208)fmb+10_1_sil=64000:random_seed=1639947979:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 14.66/6.69 % TRYING [1]
% 14.66/6.69 % TRYING [2]
% 14.66/6.69 % TRYING [3]
% 14.66/6.69 % (2849201)Instruction limit reached!
% 14.66/6.69 % (2849201)------------------------------
% 14.66/6.69 % (2849201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849201)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849201)Termination reason: Instruction limit
% 14.66/6.69 % (2849201)Termination phase: Finite model building constraint generation
% 14.66/6.69 % (2849201)Time elapsed: 0.650 s
% 14.66/6.69 % (2849201)Peak memory usage: 77 MB
% 14.66/6.69 % (2849201)Instructions burned: 889 (million)
% 14.66/6.69 % (2849211)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3131175746:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 14.66/6.69 % TRYING [20]
% 14.66/6.69 % TRYING [4]
% 14.66/6.69 % TRYING [5]
% 14.66/6.69 % (2849207)Instruction limit reached!
% 14.66/6.69 % (2849207)------------------------------
% 14.66/6.69 % (2849207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849207)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849207)Termination reason: Instruction limit
% 14.66/6.69 % (2849207)Termination phase: Saturation
% 14.66/6.69 % (2849207)Time elapsed: 0.410 s
% 14.66/6.69 % (2849207)Peak memory usage: 20 MB
% 14.66/6.69 % (2849207)Instructions burned: 880 (million)
% 14.66/6.69 % (2849215)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1322712117:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 14.66/6.69 % TRYING [8]
% 14.66/6.69 % (2849205)Instruction limit reached!
% 14.66/6.69 % (2849205)------------------------------
% 14.66/6.69 % (2849205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849205)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849205)Termination reason: Instruction limit
% 14.66/6.69 % (2849205)Termination phase: Saturation
% 14.66/6.69 % (2849205)Time elapsed: 0.645 s
% 14.66/6.69 % (2849205)Peak memory usage: 23 MB
% 14.66/6.69 % (2849205)Instructions burned: 693 (million)
% 14.66/6.69 % (2849217)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1456002227:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 14.66/6.69 % TRYING [7]
% 14.66/6.69 % TRYING [6]
% 14.66/6.69 % (2849215)Instruction limit reached!
% 14.66/6.69 % (2849215)------------------------------
% 14.66/6.69 % (2849215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849215)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849215)Termination reason: Instruction limit
% 14.66/6.69 % (2849215)Termination phase: Finite model building constraint generation
% 14.66/6.69 % (2849215)Time elapsed: 0.384 s
% 14.66/6.69 % (2849215)Peak memory usage: 67 MB
% 14.66/6.69 % (2849215)Instructions burned: 921 (million)
% 14.66/6.69 % (2849220)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1153875795:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 14.66/6.69 % TRYING [7]
% 14.66/6.69 % (2849220)Instruction limit reached!
% 14.66/6.69 % (2849220)------------------------------
% 14.66/6.69 % (2849220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849220)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849220)Termination reason: Instruction limit
% 14.66/6.69 % (2849220)Termination phase: Saturation
% 14.66/6.69 % (2849220)Time elapsed: 0.712 s
% 14.66/6.69 % (2849220)Peak memory usage: 24 MB
% 14.66/6.69 % (2849220)Instructions burned: 1473 (million)
% 14.66/6.69 % (2849223)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2479100619:i=6324_2973 on theBenchmark for (2973ds/6324Mi)
% 14.66/6.69 % TRYING [77]
% 14.66/6.69 % TRYING [8]
% 14.66/6.69 % (2849223)Instruction limit reached!
% 14.66/6.69 % (2849223)------------------------------
% 14.66/6.69 % (2849223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849223)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849223)Termination reason: Instruction limit
% 14.66/6.69 % (2849223)Termination phase: Finite model building constraint generation
% 14.66/6.69 % (2849223)Time elapsed: 2.439 s
% 14.66/6.69 % (2849223)Peak memory usage: 524 MB
% 14.66/6.69 % (2849223)Instructions burned: 6326 (million)
% 14.66/6.69 % (2849239)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1544933233:fmbsr=2.30978:i=2174_2948 on theBenchmark for (2948ds/2174Mi)
% 14.66/6.69 % TRYING [16]
% 14.66/6.69 % TRYING [8]
% 14.66/6.69 % (2849217)Instruction limit reached!
% 14.66/6.69 % (2849217)------------------------------
% 14.66/6.69 % (2849217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849217)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849217)Termination reason: Instruction limit
% 14.66/6.69 % (2849217)Termination phase: Saturation
% 14.66/6.69 % (2849217)Time elapsed: 4.324 s
% 14.66/6.69 % (2849217)Peak memory usage: 27 MB
% 14.66/6.69 % (2849217)Instructions burned: 5132 (million)
% 14.66/6.69 % (2849241)ott-2_1_sil=16000:newcnf=on:random_seed=383980467:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2940 on theBenchmark for (2940ds/869Mi)
% 14.66/6.69 % (2849239)Instruction limit reached!
% 14.66/6.69 % (2849239)------------------------------
% 14.66/6.69 % (2849239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849239)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849239)Termination reason: Instruction limit
% 14.66/6.69 % (2849239)Termination phase: Finite model building constraint generation
% 14.66/6.69 % (2849239)Time elapsed: 0.806 s
% 14.66/6.69 % (2849239)Peak memory usage: 135 MB
% 14.66/6.69 % (2849239)Instructions burned: 2176 (million)
% 14.66/6.69 % (2849243)ott+10_1_sil=32000:tgt=ground:random_seed=141235845:i=5114:av=off_2940 on theBenchmark for (2940ds/5114Mi)
% 14.66/6.69 % (2849243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2849165-2849243"...
% 14.66/6.69 % (2849243)...printing done.
% 14.66/6.69 % (2849243)Refutation found. Thanks to Tanya!
% 14.66/6.69 % SZS status Theorem for theBenchmark
% 14.66/6.69 % SZS output start Proof for theBenchmark
% See solution above
% 14.66/6.69 % (2849243)------------------------------
% 14.66/6.69 % (2849243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.66/6.69 % (2849243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.66/6.69 % (2849243)CaDiCaL version: 2.1.3
% 14.66/6.69 % (2849243)Termination reason: Refutation
% 14.66/6.69 % (2849243)Time elapsed: 0.063 s
% 14.66/6.69 % (2849243)Peak memory usage: 12 MB
% 14.66/6.69 % (2849243)Instructions burned: 53 (million)
% 14.66/6.69 % (2849165)Success in time 6.169 s
% 14.66/6.69 % Vampire exiting
%------------------------------------------------------------------------------