%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU068+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:47:10 PM UTC 2026
% Result : Theorem 6.68s 1.97s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 140 ( 26 unt; 12 def)
% Number of atoms : 527 ( 71 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 648 ( 261 ~; 272 |; 87 &)
% ( 23 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 200 ( 0 sgn 177 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f30,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t149_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1)) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f55,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
? [X0,X1,X2] :
( ~ subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f64,plain,
? [X0,X1,X2] :
( ~ subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f63]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 ) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,relation_dom(X0))
& in(X5,X1)
& apply(X0,X5) = X3 )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ? [X8] :
( in(X8,relation_dom(X0))
& in(X8,X1)
& apply(X0,X8) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != sK0(X0,X1,X2) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),relation_dom(X0))
& in(sK1(X0,X1,X2),X1)
& sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2)) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ( in(sK2(X0,X1,X6),relation_dom(X0))
& in(sK2(X0,X1,X6),X1)
& apply(X0,sK2(X0,X1,X6)) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f75]) ).
fof(f77,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f78,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK3(X0,X1,X2)),X1) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f82,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK5(X0,X1,X2),X0)
& in(sK5(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f86]) ).
fof(f99,plain,
( ~ subset(relation_image(sK19,set_intersection2(sK17,relation_inverse_image(sK19,sK18))),set_intersection2(relation_image(sK19,sK17),sK18))
& relation(sK19)
& function(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19)],[f64]) ).
fof(f107,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK2(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f108,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f109,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),relation_dom(X0))
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f110,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f115,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f122,plain,
! [X0,X1] :
( in(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f161,plain,
function(sK19),
inference(cnf_transformation,[],[f99]) ).
fof(f162,plain,
relation(sK19),
inference(cnf_transformation,[],[f99]) ).
fof(f163,plain,
~ subset(relation_image(sK19,set_intersection2(sK17,relation_inverse_image(sK19,sK18))),set_intersection2(relation_image(sK19,sK17),sK18)),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
! [X2,X0,X1,X7] :
( in(apply(X0,X7),X2)
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f175,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),relation_image(X0,X1))
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),relation_dom(X0))
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f177,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f108]) ).
fof(f178,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| apply(X0,sK2(X0,X1,X6)) = X6
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f181,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f115]) ).
fof(f182,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f126]) ).
fof(f183,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f125]) ).
fof(f184,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f185,definition,
sF20 = relation_inverse_image(sK19,sK18),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f186,plain,
relation_inverse_image(sK19,sK18) = sF20,
inference(reorient_equations,[],[f185]) ).
fof(f187,definition,
sF21 = set_intersection2(sK17,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f188,plain,
set_intersection2(sK17,sF20) = sF21,
inference(reorient_equations,[],[f187]) ).
fof(f189,definition,
sF22 = relation_image(sK19,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f190,plain,
relation_image(sK19,sF21) = sF22,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF23 = relation_image(sK19,sK17),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f192,plain,
relation_image(sK19,sK17) = sF23,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF24 = set_intersection2(sF23,sK18),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f194,plain,
set_intersection2(sF23,sK18) = sF24,
inference(reorient_equations,[],[f193]) ).
fof(f195,plain,
~ subset(sF22,sF24),
inference(definition_folding,[],[f163,f194,f192,f190,f188,f186]) ).
fof(f199,plain,
! [X0] :
( ~ in(X0,sF22)
| apply(sK19,sK2(sK19,sF21,X0)) = X0
| ~ relation(sK19)
| ~ function(sK19) ),
inference(superposition,[],[f178,f190]) ).
fof(f202,plain,
! [X0] :
( ~ in(X0,sF22)
| apply(sK19,sK2(sK19,sF21,X0)) = X0
| ~ function(sK19) ),
inference(forward_subsumption_resolution,[],[f199,f162]) ).
fof(f204,plain,
! [X0] :
( ~ in(X0,sF22)
| apply(sK19,sK2(sK19,sF21,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f202,f161]) ).
fof(f205,plain,
! [X0] :
( subset(sF22,X0)
| sK4(sF22,X0) = apply(sK19,sK2(sK19,sF21,sK4(sF22,X0))) ),
inference(resolution,[],[f204,f122]) ).
fof(f208,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sK17) ),
inference(superposition,[],[f183,f188]) ).
fof(f215,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF20) ),
inference(superposition,[],[f184,f188]) ).
fof(f221,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK19,X0),sK18)
| ~ relation(sK19)
| ~ function(sK19) ),
inference(superposition,[],[f181,f186]) ).
fof(f222,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK19,X0),sK18)
| ~ function(sK19) ),
inference(forward_subsumption_resolution,[],[f221,f162]) ).
fof(f223,plain,
! [X0] :
( in(apply(sK19,X0),sK18)
| ~ in(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f222,f161]) ).
fof(f227,plain,
! [X0] :
( ~ in(X0,sF23)
| in(X0,sF24)
| ~ in(X0,sK18) ),
inference(superposition,[],[f182,f194]) ).
fof(f239,plain,
sK4(sF22,sF24) = apply(sK19,sK2(sK19,sF21,sK4(sF22,sF24))),
inference(resolution,[],[f205,f195]) ).
fof(f240,plain,
( in(sK4(sF22,sF24),sK18)
| ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),sF20) ),
inference(superposition,[],[f223,f239]) ).
fof(f242,definition,
( spl25_1
<=> in(sK2(sK19,sF21,sK4(sF22,sF24)),sF20) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f244,plain,
( ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),sF20)
| spl25_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl25_2
<=> in(sK4(sF22,sF24),sK18) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f248,plain,
( in(sK4(sF22,sF24),sK18)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( ~ spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f240,f246,f242]) ).
fof(f253,plain,
! [X0] :
( in(apply(sK19,X0),sF23)
| ~ in(X0,relation_dom(sK19))
| ~ in(X0,sK17)
| ~ relation(sK19)
| ~ function(sK19) ),
inference(superposition,[],[f175,f192]) ).
fof(f255,plain,
! [X0] :
( in(apply(sK19,X0),sF23)
| ~ in(X0,relation_dom(sK19))
| ~ in(X0,sK17)
| ~ function(sK19) ),
inference(forward_subsumption_resolution,[],[f253,f162]) ).
fof(f258,plain,
! [X0] :
( in(apply(sK19,X0),sF23)
| ~ in(X0,relation_dom(sK19))
| ~ in(X0,sK17) ),
inference(forward_subsumption_resolution,[],[f255,f161]) ).
fof(f262,definition,
( spl25_3
<=> in(sK2(sK19,sF21,sK4(sF22,sF24)),relation_dom(sK19)) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f263,plain,
( in(sK2(sK19,sF21,sK4(sF22,sF24)),relation_dom(sK19))
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),relation_dom(sK19))
| spl25_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f272,plain,
( in(sK4(sF22,sF24),sF23)
| ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),relation_dom(sK19))
| ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),sK17) ),
inference(superposition,[],[f258,f239]) ).
fof(f306,plain,
( ~ in(sK4(sF22,sF24),relation_image(sK19,sF21))
| ~ relation(sK19)
| ~ function(sK19)
| spl25_3 ),
inference(resolution,[],[f176,f264]) ).
fof(f307,plain,
( ~ in(sK4(sF22,sF24),relation_image(sK19,sF21))
| ~ function(sK19)
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f306,f162]) ).
fof(f308,plain,
( ~ in(sK4(sF22,sF24),relation_image(sK19,sF21))
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f307,f161]) ).
fof(f309,plain,
( ~ in(sK4(sF22,sF24),sF22)
| spl25_3 ),
inference(forward_demodulation,[],[f308,f190]) ).
fof(f310,plain,
( subset(sF22,sF24)
| spl25_3 ),
inference(resolution,[],[f309,f122]) ).
fof(f311,plain,
( $false
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f310,f195]) ).
fof(f312,plain,
spl25_3,
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f313,plain,
( in(sK4(sF22,sF24),sF23)
| ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),sK17)
| ~ spl25_3 ),
inference(forward_subsumption_resolution,[],[f272,f263]) ).
fof(f317,definition,
( spl25_5
<=> in(sK2(sK19,sF21,sK4(sF22,sF24)),sK17) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f319,plain,
( ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),sK17)
| spl25_5 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,definition,
( spl25_6
<=> in(sK4(sF22,sF24),sF23) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f323,plain,
( in(sK4(sF22,sF24),sF23)
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f324,plain,
( ~ spl25_5
| spl25_6
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f313,f262,f321,f317]) ).
fof(f327,definition,
( spl25_7
<=> in(sK2(sK19,sF21,sK4(sF22,sF24)),sF21) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f328,plain,
( in(sK2(sK19,sF21,sK4(sF22,sF24)),sF21)
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( ~ in(sK2(sK19,sF21,sK4(sF22,sF24)),sF21)
| spl25_7 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl25_8
<=> in(sK4(sF22,sF24),sF22) ),
introduced(definition,[new_symbols(definition,[spl25_8])],[avatar_definition]) ).
fof(f332,plain,
( ~ in(sK4(sF22,sF24),sF22)
| spl25_8 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( in(sK4(sF22,sF24),sF22)
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f348,plain,
( subset(sF22,sF24)
| spl25_8 ),
inference(resolution,[],[f332,f122]) ).
fof(f349,plain,
( $false
| spl25_8 ),
inference(forward_subsumption_resolution,[],[f348,f195]) ).
fof(f350,plain,
spl25_8,
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f362,plain,
( ~ in(sK4(sF22,sF24),relation_image(sK19,sF21))
| ~ relation(sK19)
| ~ function(sK19)
| spl25_7 ),
inference(resolution,[],[f329,f177]) ).
fof(f363,plain,
( ~ in(sK4(sF22,sF24),relation_image(sK19,sF21))
| ~ function(sK19)
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f362,f162]) ).
fof(f364,plain,
( ~ in(sK4(sF22,sF24),relation_image(sK19,sF21))
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f363,f161]) ).
fof(f365,plain,
( ~ in(sK4(sF22,sF24),sF22)
| spl25_7 ),
inference(forward_demodulation,[],[f364,f190]) ).
fof(f366,plain,
( $false
| spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f365,f333]) ).
fof(f367,plain,
( spl25_7
| ~ spl25_8 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f369,plain,
( in(sK2(sK19,sF21,sK4(sF22,sF24)),sF20)
| ~ spl25_7 ),
inference(resolution,[],[f328,f215]) ).
fof(f370,plain,
( in(sK2(sK19,sF21,sK4(sF22,sF24)),sK17)
| ~ spl25_7 ),
inference(resolution,[],[f328,f208]) ).
fof(f371,plain,
( $false
| spl25_5
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f370,f319]) ).
fof(f372,plain,
( spl25_5
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f373,plain,
( $false
| spl25_1
| ~ spl25_7 ),
inference(forward_subsumption_resolution,[],[f369,f244]) ).
fof(f374,plain,
( spl25_1
| ~ spl25_7 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f377,plain,
( in(sK4(sF22,sF24),sF24)
| ~ in(sK4(sF22,sF24),sK18)
| ~ spl25_6 ),
inference(resolution,[],[f323,f227]) ).
fof(f378,plain,
( in(sK4(sF22,sF24),sF24)
| ~ spl25_2
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f377,f248]) ).
fof(f379,plain,
( subset(sF22,sF24)
| ~ spl25_2
| ~ spl25_6 ),
inference(resolution,[],[f378,f123]) ).
fof(f382,plain,
( $false
| ~ spl25_2
| ~ spl25_6 ),
inference(forward_subsumption_resolution,[],[f379,f195]) ).
fof(f383,plain,
( ~ spl25_2
| ~ spl25_6 ),
inference(avatar_contradiction_clause,[],[f382]) ).
cnf(s1,plain,
( ~ spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f249]) ).
cnf(s3,plain,
spl25_3,
inference(sat_conversion,[],[f312]) ).
cnf(s4,plain,
( ~ spl25_3
| ~ spl25_5
| spl25_6 ),
inference(sat_conversion,[],[f324]) ).
cnf(s7,plain,
spl25_8,
inference(sat_conversion,[],[f350]) ).
cnf(s9,plain,
( spl25_7
| ~ spl25_8 ),
inference(sat_conversion,[],[f367]) ).
cnf(s10,plain,
( spl25_5
| ~ spl25_7 ),
inference(sat_conversion,[],[f372]) ).
cnf(s11,plain,
( spl25_1
| ~ spl25_7 ),
inference(sat_conversion,[],[f374]) ).
cnf(s12,plain,
( ~ spl25_2
| ~ spl25_6 ),
inference(sat_conversion,[],[f383]) ).
cnf(s13,plain,
spl25_7,
inference(rat,[],[s9,s7]) ).
cnf(s14,plain,
spl25_1,
inference(rat,[],[s11,s13]) ).
cnf(s15,plain,
spl25_5,
inference(rat,[],[s10,s13]) ).
cnf(s17,plain,
( ~ spl25_3
| spl25_6 ),
inference(rat,[],[s4,s15]) ).
cnf(s18,plain,
spl25_6,
inference(rat,[],[s17,s3]) ).
cnf(s19,plain,
~ spl25_2,
inference(rat,[],[s12,s18]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s19,s14]) ).
fof(f384,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU068+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 03:31:09 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 6.68/1.97 % (1841512)Detected formulas, will run a generic FOF schedule.
% 6.68/1.97 % (1841523)dis-21_1_sil=8000:lcm=predicate:random_seed=818346039: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)
% 6.68/1.97 % (1841523)Instruction limit reached!
% 6.68/1.97 % (1841523)------------------------------
% 6.68/1.97 % (1841523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841523)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841523)Termination reason: Instruction limit
% 6.68/1.97 % (1841523)Termination phase: Saturation
% 6.68/1.97 % (1841523)Time elapsed: 0.040 s
% 6.68/1.97 % (1841523)Peak memory usage: 90 MB
% 6.68/1.97 % (1841523)Instructions burned: 131 (million)
% 6.68/1.97 % (1841517)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=1970263431:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.68/1.97 % (1841518)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=2834278396:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.68/1.97 % (1841521)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3350431659:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.68/1.97 % (1841519)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=2041290438:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.68/1.97 % (1841522)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1835126743:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.68/1.97 % (1841520)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3350727095:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.68/1.97 % (1841520)Refutation not found, incomplete strategy
% 6.68/1.97 % (1841520)------------------------------
% 6.68/1.97 % (1841520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841520)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841520)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.97 % (1841520)Time elapsed: 0.003 s
% 6.68/1.97 % (1841520)Peak memory usage: 88 MB
% 6.68/1.97 % (1841520)Instructions burned: 3 (million)
% 6.68/1.97 % (1841521)Instruction limit reached!
% 6.68/1.97 % (1841521)------------------------------
% 6.68/1.97 % (1841521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841521)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841521)Termination reason: Instruction limit
% 6.68/1.97 % (1841521)Termination phase: Saturation
% 6.68/1.97 % (1841521)Time elapsed: 0.074 s
% 6.68/1.97 % (1841521)Peak memory usage: 88 MB
% 6.68/1.97 % (1841521)Instructions burned: 120 (million)
% 6.68/1.97 % (1841522)Instruction limit reached!
% 6.68/1.97 % (1841522)------------------------------
% 6.68/1.97 % (1841522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841522)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841522)Termination reason: Instruction limit
% 6.68/1.97 % (1841522)Termination phase: Saturation
% 6.68/1.97 % (1841522)Time elapsed: 0.093 s
% 6.68/1.97 % (1841522)Peak memory usage: 89 MB
% 6.68/1.97 % (1841522)Instructions burned: 139 (million)
% 6.68/1.97 % (1841531)lrs+10_1_sil=8000:sp=occurrence:random_seed=1984217619:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.68/1.97 % (1841531)Instruction limit reached!
% 6.68/1.97 % (1841531)------------------------------
% 6.68/1.97 % (1841531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841531)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841531)Termination reason: Instruction limit
% 6.68/1.97 % (1841531)Termination phase: Saturation
% 6.68/1.97 % (1841531)Time elapsed: 0.089 s
% 6.68/1.97 % (1841531)Peak memory usage: 91 MB
% 6.68/1.97 % (1841531)Instructions burned: 287 (million)
% 6.68/1.97 % (1841532)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2624797307:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.68/1.97 % (1841520)------------------------------
% 6.68/1.97 % (1841520)------------------------------
% 6.68/1.97 % (1841533)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2214793041:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.68/1.97 % (1841532)Instruction limit reached!
% 6.68/1.97 % (1841532)------------------------------
% 6.68/1.97 % (1841532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841532)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841532)Termination reason: Instruction limit
% 6.68/1.97 % (1841532)Termination phase: Saturation
% 6.68/1.97 % (1841532)Time elapsed: 0.080 s
% 6.68/1.97 % (1841532)Peak memory usage: 90 MB
% 6.68/1.97 % (1841532)Instructions burned: 158 (million)
% 6.68/1.97 % (1841535)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=2837680029:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.68/1.97 % (1841538)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=246393584:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.68/1.97 % (1841538)Refutation not found, incomplete strategy
% 6.68/1.97 % (1841538)------------------------------
% 6.68/1.97 % (1841538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841538)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841538)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.97 % (1841538)Time elapsed: 0.003 s
% 6.68/1.97 % (1841538)Peak memory usage: 88 MB
% 6.68/1.97 % (1841538)Instructions burned: 3 (million)
% 6.68/1.97 % (1841535)Instruction limit reached!
% 6.68/1.97 % (1841535)------------------------------
% 6.68/1.97 % (1841535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841535)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841535)Termination reason: Instruction limit
% 6.68/1.97 % (1841535)Termination phase: Saturation
% 6.68/1.97 % (1841535)Time elapsed: 0.073 s
% 6.68/1.97 % (1841535)Peak memory usage: 95 MB
% 6.68/1.97 % (1841535)Instructions burned: 252 (million)
% 6.68/1.97 % (1841533)Instruction limit reached!
% 6.68/1.97 % (1841533)------------------------------
% 6.68/1.97 % (1841533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841533)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841533)Termination reason: Instruction limit
% 6.68/1.97 % (1841533)Termination phase: Saturation
% 6.68/1.97 % (1841533)Time elapsed: 0.208 s
% 6.68/1.97 % (1841533)Peak memory usage: 92 MB
% 6.68/1.97 % (1841533)Instructions burned: 326 (million)
% 6.68/1.97 % (1841539)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2687231166:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.68/1.97 % (1841542)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2567660058:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.68/1.97 % (1841542)Instruction limit reached!
% 6.68/1.97 % (1841542)------------------------------
% 6.68/1.97 % (1841542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841542)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841542)Termination reason: Instruction limit
% 6.68/1.97 % (1841542)Termination phase: Saturation
% 6.68/1.97 % (1841542)Time elapsed: 0.042 s
% 6.68/1.97 % (1841542)Peak memory usage: 91 MB
% 6.68/1.97 % (1841542)Instructions burned: 116 (million)
% 6.68/1.97 % (1841543)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2830347614:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.68/1.97 % (1841538)------------------------------
% 6.68/1.97 % (1841538)------------------------------
% 6.68/1.97 % (1841517)First to succeed.
% 6.68/1.97 % (1841517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1841512"
% 6.68/1.97 % (1841518)Also succeeded, but the first one will report.
% 6.68/1.97 % (1841546)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1026444889:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.68/1.97 % (1841543)Instruction limit reached!
% 6.68/1.97 % (1841543)------------------------------
% 6.68/1.97 % (1841543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841543)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841543)Termination reason: Instruction limit
% 6.68/1.97 % (1841543)Termination phase: Saturation
% 6.68/1.97 % (1841543)Time elapsed: 0.067 s
% 6.68/1.97 % (1841543)Peak memory usage: 88 MB
% 6.68/1.97 % (1841543)Instructions burned: 127 (million)
% 6.68/1.97 % (1841546)Instruction limit reached!
% 6.68/1.97 % (1841546)------------------------------
% 6.68/1.97 % (1841546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841546)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841546)Termination reason: Instruction limit
% 6.68/1.97 % (1841546)Termination phase: Saturation
% 6.68/1.97 % (1841546)Time elapsed: 0.037 s
% 6.68/1.97 % (1841546)Peak memory usage: 89 MB
% 6.68/1.97 % (1841546)Instructions burned: 116 (million)
% 6.68/1.97 % (1841548)lrs+10_1_sil=8000:sp=occurrence:random_seed=3283360980:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.68/1.97 % (1841519)Also succeeded, but the first one will report.
% 6.68/1.97 % (1841550)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=82423860:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.68/1.97 % (1841550)Refutation not found, incomplete strategy
% 6.68/1.97 % (1841550)------------------------------
% 6.68/1.97 % (1841550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.97 % (1841550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.97 % (1841550)CaDiCaL version: 2.1.3
% 6.68/1.97 % (1841550)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.97 % (1841550)Time elapsed: 0.003 s
% 6.68/1.97 % (1841550)Peak memory usage: 88 MB
% 6.68/1.97 % (1841550)Instructions burned: 3 (million)
% 6.68/1.97 % (1841551)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2368619858:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.68/1.97 % (1841517)Refutation found. Thanks to Tanya!
% 6.68/1.97 % SZS status Theorem for theBenchmark
% 6.68/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/2.16 % (1841517)------------------------------
% 8.38/2.16 % (1841517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/2.16 % (1841517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/2.16 % (1841517)CaDiCaL version: 2.1.3
% 8.38/2.16 % (1841517)Termination reason: Refutation
% 8.38/2.16 % (1841517)Time elapsed: 0.662 s
% 8.38/2.16 % (1841517)Peak memory usage: 128 MB
% 8.38/2.16 % (1841517)Instructions burned: 978 (million)
% 8.38/2.16 % (1841517)------------------------------
% 8.38/2.16 % (1841517)------------------------------
% 8.38/2.16 % (1841512)Success in time 1.105 s
% 8.38/2.16 % Vampire exiting
%------------------------------------------------------------------------------