%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU296+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:48:13 PM UTC 2026
% Result : Theorem 6.82s 2.03s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 133 ( 26 unt; 13 def)
% Number of atoms : 416 ( 33 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 512 ( 229 ~; 223 |; 33 &)
% ( 14 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 14 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 104 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] :
( finite(X0)
<=> ? [X1] :
( relation(X1)
& function(X1)
& relation_rng(X1) = X0
& in(relation_dom(X1),omega) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_finset_1) ).
fof(f21,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f25,axiom,
! [X0,X1] :
( finite(X1)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_finset_1) ).
fof(f29,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation_image(X1,X0) = relation_image(X1,set_intersection2(relation_dom(X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t145_relat_1) ).
fof(f63,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f64,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f65,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f66,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f71,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f107,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f108,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( finite(set_intersection2(X0,X1))
| ~ finite(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f113,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f114,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f113]) ).
fof(f127,plain,
! [X0,X1] :
( relation_image(X1,X0) = relation_image(X1,set_intersection2(relation_dom(X1),X0))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f130,plain,
? [X0,X1] :
( ~ finite(relation_image(X1,X0))
& finite(X0)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f131,plain,
? [X0,X1] :
( ~ finite(relation_image(X1,X0))
& finite(X0)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f130]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( relation_dom(relation_composition(X0,X1)) = relation_dom(X0)
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( relation_dom(relation_composition(X0,X1)) = relation_dom(X0)
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f135]) ).
fof(f143,plain,
! [X0] :
( ( finite(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| relation_rng(X1) != X0
| ~ in(relation_dom(X1),omega) ) )
& ( ? [X1] :
( relation(X1)
& function(X1)
& relation_rng(X1) = X0
& in(relation_dom(X1),omega) )
| ~ finite(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f144,plain,
! [X0] :
( ( finite(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| relation_rng(X1) != X0
| ~ in(relation_dom(X1),omega) ) )
& ( ? [X2] :
( relation(X2)
& function(X2)
& relation_rng(X2) = X0
& in(relation_dom(X2),omega) )
| ~ finite(X0) ) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ( finite(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| relation_rng(X1) != X0
| ~ in(relation_dom(X1),omega) ) )
& ( ( relation(sK0(X0))
& function(sK0(X0))
& relation_rng(sK0(X0)) = X0
& in(relation_dom(sK0(X0)),omega) )
| ~ finite(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f144]) ).
fof(f165,plain,
( ~ finite(relation_image(sK21,sK20))
& finite(sK20)
& relation(sK21)
& function(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X1,sK21)],[f131]) ).
fof(f190,plain,
! [X0] :
( in(relation_dom(sK0(X0)),omega)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f191,plain,
! [X0] :
( relation_rng(sK0(X0)) = X0
| ~ finite(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f192,plain,
! [X0] :
( function(sK0(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f193,plain,
! [X0] :
( relation(sK0(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f194,plain,
! [X0,X1] :
( finite(X0)
| ~ relation(X1)
| ~ function(X1)
| relation_rng(X1) != X0
| ~ in(relation_dom(X1),omega) ),
inference(cnf_transformation,[],[f145]) ).
fof(f195,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f197,plain,
! [X0,X1] :
( finite(set_intersection2(X0,X1))
| ~ finite(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f203,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f280,plain,
! [X0,X1] :
( relation_image(X1,X0) = relation_image(X1,set_intersection2(relation_dom(X1),X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f282,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f283,plain,
function(sK21),
inference(cnf_transformation,[],[f165]) ).
fof(f284,plain,
relation(sK21),
inference(cnf_transformation,[],[f165]) ).
fof(f285,plain,
finite(sK20),
inference(cnf_transformation,[],[f165]) ).
fof(f286,plain,
~ finite(relation_image(sK21,sK20)),
inference(cnf_transformation,[],[f165]) ).
fof(f287,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f66]) ).
fof(f293,plain,
! [X0,X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f299,plain,
! [X1] :
( finite(relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(relation_dom(X1),omega) ),
inference(equality_resolution,[],[f194]) ).
fof(f303,definition,
( spl23_1
<=> finite(relation_image(sK21,sK20)) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f305,plain,
( ~ finite(relation_image(sK21,sK20))
| spl23_1 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f306,plain,
~ spl23_1,
inference(avatar_split_clause,[],[f286,f303]) ).
fof(f310,definition,
( spl23_2
<=> finite(sK20) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f312,plain,
( finite(sK20)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,plain,
spl23_2,
inference(avatar_split_clause,[],[f285,f310]) ).
fof(f319,plain,
( ! [X0] : finite(set_intersection2(X0,sK20))
| ~ spl23_2 ),
inference(resolution,[],[f312,f197]) ).
fof(f323,definition,
( spl23_3
<=> function(sK21) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f325,plain,
( function(sK21)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f326,plain,
spl23_3,
inference(avatar_split_clause,[],[f283,f323]) ).
fof(f336,definition,
( spl23_4
<=> relation(sK21) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f338,plain,
( relation(sK21)
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
spl23_4,
inference(avatar_split_clause,[],[f284,f336]) ).
fof(f341,plain,
( ! [X0] :
( relation(relation_composition(X0,sK21))
| ~ relation(X0) )
| ~ spl23_4 ),
inference(resolution,[],[f338,f195]) ).
fof(f354,plain,
( ! [X0] : relation_image(sK21,X0) = relation_image(sK21,set_intersection2(relation_dom(sK21),X0))
| ~ spl23_4 ),
inference(resolution,[],[f338,f280]) ).
fof(f356,plain,
( ! [X0] :
( relation_rng(relation_composition(X0,sK21)) = relation_image(sK21,relation_rng(X0))
| ~ relation(X0) )
| ~ spl23_4 ),
inference(resolution,[],[f338,f282]) ).
fof(f358,plain,
( ! [X0] :
( relation_dom(X0) = relation_dom(relation_composition(X0,sK21))
| ~ subset(relation_rng(X0),relation_dom(sK21))
| ~ relation(X0) )
| ~ spl23_4 ),
inference(resolution,[],[f338,f293]) ).
fof(f403,definition,
( spl23_9
<=> ! [X0] : relation_image(sK21,X0) = relation_image(sK21,set_intersection2(relation_dom(sK21),X0)) ),
introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).
fof(f404,plain,
( ! [X0] : relation_image(sK21,X0) = relation_image(sK21,set_intersection2(relation_dom(sK21),X0))
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( spl23_9
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f354,f336,f403]) ).
fof(f487,definition,
( spl23_15
<=> ! [X0] : finite(set_intersection2(X0,sK20)) ),
introduced(definition,[new_symbols(definition,[spl23_15])],[avatar_definition]) ).
fof(f488,plain,
( ! [X0] : finite(set_intersection2(X0,sK20))
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( spl23_15
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f319,f310,f487]) ).
fof(f491,plain,
( ! [X0] : in(relation_dom(sK0(set_intersection2(X0,sK20))),omega)
| ~ spl23_15 ),
inference(resolution,[],[f488,f190]) ).
fof(f492,plain,
( ! [X0] : set_intersection2(X0,sK20) = relation_rng(sK0(set_intersection2(X0,sK20)))
| ~ spl23_15 ),
inference(resolution,[],[f488,f191]) ).
fof(f493,plain,
( ! [X0] : function(sK0(set_intersection2(X0,sK20)))
| ~ spl23_15 ),
inference(resolution,[],[f488,f192]) ).
fof(f494,plain,
( ! [X0] : relation(sK0(set_intersection2(X0,sK20)))
| ~ spl23_15 ),
inference(resolution,[],[f488,f193]) ).
fof(f502,definition,
( spl23_16
<=> ! [X0] :
( relation_rng(relation_composition(X0,sK21)) = relation_image(sK21,relation_rng(X0))
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_16])],[avatar_definition]) ).
fof(f503,plain,
( ! [X0] :
( relation_rng(relation_composition(X0,sK21)) = relation_image(sK21,relation_rng(X0))
| ~ relation(X0) )
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( spl23_16
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f356,f336,f502]) ).
fof(f506,definition,
( spl23_17
<=> ! [X0] :
( relation_dom(X0) = relation_dom(relation_composition(X0,sK21))
| ~ subset(relation_rng(X0),relation_dom(sK21))
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_17])],[avatar_definition]) ).
fof(f507,plain,
( ! [X0] :
( relation_dom(X0) = relation_dom(relation_composition(X0,sK21))
| ~ subset(relation_rng(X0),relation_dom(sK21))
| ~ relation(X0) )
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f508,plain,
( spl23_17
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f358,f336,f506]) ).
fof(f518,plain,
( ! [X0] :
( ~ in(relation_dom(X0),omega)
| finite(relation_rng(relation_composition(X0,sK21)))
| ~ relation(relation_composition(X0,sK21))
| ~ function(relation_composition(X0,sK21))
| ~ subset(relation_rng(X0),relation_dom(sK21))
| ~ relation(X0) )
| ~ spl23_17 ),
inference(superposition,[],[f299,f507]) ).
fof(f519,plain,
( ! [X0] :
( ~ in(relation_dom(X0),omega)
| finite(relation_rng(relation_composition(X0,sK21)))
| ~ function(relation_composition(X0,sK21))
| ~ subset(relation_rng(X0),relation_dom(sK21))
| ~ relation(X0) )
| ~ spl23_4
| ~ spl23_17 ),
inference(forward_subsumption_resolution,[],[f518,f341]) ).
fof(f759,definition,
( spl23_36
<=> ! [X0] :
( ~ in(relation_dom(X0),omega)
| finite(relation_rng(relation_composition(X0,sK21)))
| ~ function(relation_composition(X0,sK21))
| ~ subset(relation_rng(X0),relation_dom(sK21))
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_36])],[avatar_definition]) ).
fof(f760,plain,
( ! [X0] :
( ~ subset(relation_rng(X0),relation_dom(sK21))
| finite(relation_rng(relation_composition(X0,sK21)))
| ~ function(relation_composition(X0,sK21))
| ~ in(relation_dom(X0),omega)
| ~ relation(X0) )
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f761,plain,
( spl23_36
| ~ spl23_4
| ~ spl23_17 ),
inference(avatar_split_clause,[],[f519,f506,f336,f759]) ).
fof(f788,definition,
( spl23_38
<=> ! [X0] : in(relation_dom(sK0(set_intersection2(X0,sK20))),omega) ),
introduced(definition,[new_symbols(definition,[spl23_38])],[avatar_definition]) ).
fof(f789,plain,
( ! [X0] : in(relation_dom(sK0(set_intersection2(X0,sK20))),omega)
| ~ spl23_38 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( spl23_38
| ~ spl23_15 ),
inference(avatar_split_clause,[],[f491,f487,f788]) ).
fof(f960,definition,
( spl23_48
<=> ! [X0] : set_intersection2(X0,sK20) = relation_rng(sK0(set_intersection2(X0,sK20))) ),
introduced(definition,[new_symbols(definition,[spl23_48])],[avatar_definition]) ).
fof(f961,plain,
( ! [X0] : set_intersection2(X0,sK20) = relation_rng(sK0(set_intersection2(X0,sK20)))
| ~ spl23_48 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f962,plain,
( spl23_48
| ~ spl23_15 ),
inference(avatar_split_clause,[],[f492,f487,f960]) ).
fof(f972,plain,
( ! [X0] :
( relation_rng(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)) = relation_image(sK21,set_intersection2(X0,sK20))
| ~ relation(sK0(set_intersection2(X0,sK20))) )
| ~ spl23_16
| ~ spl23_48 ),
inference(superposition,[],[f503,f961]) ).
fof(f974,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_rng(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)))
| ~ function(relation_composition(sK0(set_intersection2(X0,sK20)),sK21))
| ~ in(relation_dom(sK0(set_intersection2(X0,sK20))),omega)
| ~ relation(sK0(set_intersection2(X0,sK20))) )
| ~ spl23_36
| ~ spl23_48 ),
inference(superposition,[],[f760,f961]) ).
fof(f977,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_rng(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)))
| ~ function(relation_composition(sK0(set_intersection2(X0,sK20)),sK21))
| ~ relation(sK0(set_intersection2(X0,sK20))) )
| ~ spl23_36
| ~ spl23_38
| ~ spl23_48 ),
inference(forward_subsumption_resolution,[],[f974,f789]) ).
fof(f979,plain,
( ! [X0] : relation_rng(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)) = relation_image(sK21,set_intersection2(X0,sK20))
| ~ spl23_15
| ~ spl23_16
| ~ spl23_48 ),
inference(forward_subsumption_resolution,[],[f972,f494]) ).
fof(f983,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_rng(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)))
| ~ function(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)) )
| ~ spl23_15
| ~ spl23_36
| ~ spl23_38
| ~ spl23_48 ),
inference(forward_subsumption_resolution,[],[f977,f494]) ).
fof(f985,plain,
( ! [X0] :
( finite(relation_image(sK21,set_intersection2(X0,sK20)))
| ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| ~ function(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)) )
| ~ spl23_15
| ~ spl23_16
| ~ spl23_36
| ~ spl23_38
| ~ spl23_48 ),
inference(forward_demodulation,[],[f983,f979]) ).
fof(f988,definition,
( spl23_49
<=> ! [X0] :
( finite(relation_image(sK21,set_intersection2(X0,sK20)))
| ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| ~ function(relation_composition(sK0(set_intersection2(X0,sK20)),sK21)) ) ),
introduced(definition,[new_symbols(definition,[spl23_49])],[avatar_definition]) ).
fof(f989,plain,
( ! [X0] :
( ~ function(relation_composition(sK0(set_intersection2(X0,sK20)),sK21))
| ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20))) )
| ~ spl23_49 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f990,plain,
( spl23_49
| ~ spl23_15
| ~ spl23_16
| ~ spl23_36
| ~ spl23_38
| ~ spl23_48 ),
inference(avatar_split_clause,[],[f985,f960,f788,f759,f502,f487,f988]) ).
fof(f991,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20)))
| ~ relation(sK0(set_intersection2(X0,sK20)))
| ~ function(sK0(set_intersection2(X0,sK20)))
| ~ relation(sK21)
| ~ function(sK21) )
| ~ spl23_49 ),
inference(resolution,[],[f989,f203]) ).
fof(f996,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20)))
| ~ relation(sK0(set_intersection2(X0,sK20)))
| ~ function(sK0(set_intersection2(X0,sK20)))
| ~ function(sK21) )
| ~ spl23_4
| ~ spl23_49 ),
inference(forward_subsumption_resolution,[],[f991,f338]) ).
fof(f997,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20)))
| ~ relation(sK0(set_intersection2(X0,sK20)))
| ~ function(sK0(set_intersection2(X0,sK20))) )
| ~ spl23_3
| ~ spl23_4
| ~ spl23_49 ),
inference(forward_subsumption_resolution,[],[f996,f325]) ).
fof(f998,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20)))
| ~ function(sK0(set_intersection2(X0,sK20))) )
| ~ spl23_3
| ~ spl23_4
| ~ spl23_15
| ~ spl23_49 ),
inference(forward_subsumption_resolution,[],[f997,f494]) ).
fof(f999,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20))) )
| ~ spl23_3
| ~ spl23_4
| ~ spl23_15
| ~ spl23_49 ),
inference(forward_subsumption_resolution,[],[f998,f493]) ).
fof(f1051,definition,
( spl23_53
<=> ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20))) ) ),
introduced(definition,[new_symbols(definition,[spl23_53])],[avatar_definition]) ).
fof(f1052,plain,
( ! [X0] :
( ~ subset(set_intersection2(X0,sK20),relation_dom(sK21))
| finite(relation_image(sK21,set_intersection2(X0,sK20))) )
| ~ spl23_53 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1053,plain,
( spl23_53
| ~ spl23_3
| ~ spl23_4
| ~ spl23_15
| ~ spl23_49 ),
inference(avatar_split_clause,[],[f999,f988,f487,f336,f323,f1051]) ).
fof(f1054,plain,
( finite(relation_image(sK21,set_intersection2(relation_dom(sK21),sK20)))
| ~ spl23_53 ),
inference(resolution,[],[f1052,f287]) ).
fof(f1059,plain,
( finite(relation_image(sK21,sK20))
| ~ spl23_9
| ~ spl23_53 ),
inference(forward_demodulation,[],[f1054,f404]) ).
fof(f1060,plain,
( $false
| spl23_1
| ~ spl23_9
| ~ spl23_53 ),
inference(forward_subsumption_resolution,[],[f1059,f305]) ).
fof(f1061,plain,
( spl23_1
| ~ spl23_9
| ~ spl23_53 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
cnf(s1,plain,
~ spl23_1,
inference(sat_conversion,[],[f306]) ).
cnf(s2,plain,
spl23_2,
inference(sat_conversion,[],[f313]) ).
cnf(s3,plain,
spl23_3,
inference(sat_conversion,[],[f326]) ).
cnf(s4,plain,
spl23_4,
inference(sat_conversion,[],[f339]) ).
cnf(s8,plain,
( ~ spl23_4
| spl23_9 ),
inference(sat_conversion,[],[f405]) ).
cnf(s14,plain,
( ~ spl23_2
| spl23_15 ),
inference(sat_conversion,[],[f489]) ).
cnf(s15,plain,
( ~ spl23_4
| spl23_16 ),
inference(sat_conversion,[],[f504]) ).
cnf(s16,plain,
( ~ spl23_4
| spl23_17 ),
inference(sat_conversion,[],[f508]) ).
cnf(s34,plain,
( ~ spl23_4
| ~ spl23_17
| spl23_36 ),
inference(sat_conversion,[],[f761]) ).
cnf(s36,plain,
( ~ spl23_15
| spl23_38 ),
inference(sat_conversion,[],[f790]) ).
cnf(s48,plain,
( ~ spl23_15
| spl23_48 ),
inference(sat_conversion,[],[f962]) ).
cnf(s49,plain,
( ~ spl23_15
| ~ spl23_16
| ~ spl23_36
| ~ spl23_38
| ~ spl23_48
| spl23_49 ),
inference(sat_conversion,[],[f990]) ).
cnf(s53,plain,
( ~ spl23_3
| ~ spl23_4
| ~ spl23_15
| ~ spl23_49
| spl23_53 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s54,plain,
( spl23_1
| ~ spl23_9
| ~ spl23_53 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s58,plain,
spl23_17,
inference(rat,[],[s16,s4]) ).
cnf(s59,plain,
spl23_16,
inference(rat,[],[s15,s4]) ).
cnf(s61,plain,
spl23_9,
inference(rat,[],[s8,s4]) ).
cnf(s63,plain,
spl23_36,
inference(rat,[],[s34,s4,s58]) ).
cnf(s69,plain,
spl23_15,
inference(rat,[],[s14,s2]) ).
cnf(s76,plain,
spl23_48,
inference(rat,[],[s48,s69]) ).
cnf(s77,plain,
spl23_38,
inference(rat,[],[s36,s69]) ).
cnf(s87,plain,
spl23_49,
inference(rat,[],[s49,s76,s69,s59,s63,s77]) ).
cnf(s92,plain,
spl23_53,
inference(rat,[],[s53,s69,s3,s4,s87]) ).
cnf(s96,plain,
spl23_1,
inference(rat,[],[s54,s61,s92]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s1,s96]) ).
fof(f1062,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU296+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:32:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.82/2.03 % (433979)Detected formulas, will run a generic FOF schedule.
% 6.82/2.03 % (433988)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3542218595:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.82/2.03 % (433987)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=969598785:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.82/2.03 % (433986)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=376841203:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.82/2.03 % (433985)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=1388178635:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.82/2.03 % (433989)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1045293851:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.82/2.03 % (433990)dis-21_1_sil=8000:lcm=predicate:random_seed=1962029110: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)
% 6.82/2.03 % (433984)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=3455591601:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.82/2.03 % (433987)Refutation not found, incomplete strategy
% 6.82/2.03 % (433987)------------------------------
% 6.82/2.03 % (433987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (433987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (433987)CaDiCaL version: 2.1.3
% 6.82/2.03 % (433987)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.03 % (433987)Time elapsed: 0.001 s
% 6.82/2.03 % (433987)Peak memory usage: 88 MB
% 6.82/2.03 % (433988)Instruction limit reached!
% 6.82/2.03 % (433988)------------------------------
% 6.82/2.03 % (433988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (433988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (433988)CaDiCaL version: 2.1.3
% 6.82/2.03 % (433988)Termination reason: Instruction limit
% 6.82/2.03 % (433988)Termination phase: Saturation
% 6.82/2.03 % (433988)Time elapsed: 0.033 s
% 6.82/2.03 % (433988)Peak memory usage: 88 MB
% 6.82/2.03 % (433988)Instructions burned: 121 (million)
% 6.82/2.03 % (433990)Instruction limit reached!
% 6.82/2.03 % (433990)------------------------------
% 6.82/2.03 % (433990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (433990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (433990)CaDiCaL version: 2.1.3
% 6.82/2.03 % (433990)Termination reason: Instruction limit
% 6.82/2.03 % (433990)Termination phase: Saturation
% 6.82/2.03 % (433990)Time elapsed: 0.072 s
% 6.82/2.03 % (433990)Peak memory usage: 90 MB
% 6.82/2.03 % (433990)Instructions burned: 130 (million)
% 6.82/2.03 % (433989)Instruction limit reached!
% 6.82/2.03 % (433989)------------------------------
% 6.82/2.03 % (433989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (433989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (433989)CaDiCaL version: 2.1.3
% 6.82/2.03 % (433989)Termination reason: Instruction limit
% 6.82/2.03 % (433989)Termination phase: Saturation
% 6.82/2.03 % (433989)Time elapsed: 0.090 s
% 6.82/2.03 % (433989)Peak memory usage: 90 MB
% 6.82/2.03 % (433989)Instructions burned: 140 (million)
% 6.82/2.03 % (433998)lrs+10_1_sil=8000:sp=occurrence:random_seed=177724813:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.82/2.03 % (433998)Instruction limit reached!
% 6.82/2.03 % (433998)------------------------------
% 6.82/2.03 % (433998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (433998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (433998)CaDiCaL version: 2.1.3
% 6.82/2.03 % (433998)Termination reason: Instruction limit
% 6.82/2.03 % (433998)Termination phase: Saturation
% 6.82/2.03 % (433998)Time elapsed: 0.084 s
% 6.82/2.03 % (433998)Peak memory usage: 92 MB
% 6.82/2.03 % (433998)Instructions burned: 285 (million)
% 6.82/2.03 % (433999)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3520032138:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.82/2.03 % (433999)Refutation not found, incomplete strategy
% 6.82/2.03 % (433999)------------------------------
% 6.82/2.03 % (433999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (433999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (433999)CaDiCaL version: 2.1.3
% 6.82/2.03 % (433999)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.03 % (433999)Time elapsed: 0.004 s
% 6.82/2.03 % (433999)Peak memory usage: 88 MB
% 6.82/2.03 % (433999)Instructions burned: 4 (million)
% 6.82/2.03 % (433987)------------------------------
% 6.82/2.03 % (433987)------------------------------
% 6.82/2.03 % (434000)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1053922767:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.82/2.03 % (434003)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=1116764072:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.82/2.03 % (434003)Instruction limit reached!
% 6.82/2.03 % (434003)------------------------------
% 6.82/2.03 % (434003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434003)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434003)Termination reason: Instruction limit
% 6.82/2.03 % (434003)Termination phase: Saturation
% 6.82/2.03 % (434003)Time elapsed: 0.073 s
% 6.82/2.03 % (434003)Peak memory usage: 94 MB
% 6.82/2.03 % (434003)Instructions burned: 251 (million)
% 6.82/2.03 % (434004)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3730915460:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.82/2.03 % (434004)Refutation not found, incomplete strategy
% 6.82/2.03 % (434004)------------------------------
% 6.82/2.03 % (434004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434004)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434004)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.03 % (434004)Time elapsed: 0.003 s
% 6.82/2.03 % (434004)Peak memory usage: 88 MB
% 6.82/2.03 % (434004)Instructions burned: 3 (million)
% 6.82/2.03 % (434000)Instruction limit reached!
% 6.82/2.03 % (434000)------------------------------
% 6.82/2.03 % (434000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434000)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434000)Termination reason: Instruction limit
% 6.82/2.03 % (434000)Termination phase: Saturation
% 6.82/2.03 % (434000)Time elapsed: 0.204 s
% 6.82/2.03 % (434000)Peak memory usage: 92 MB
% 6.82/2.03 % (434000)Instructions burned: 326 (million)
% 6.82/2.03 % (433999)------------------------------
% 6.82/2.03 % (433999)------------------------------
% 6.82/2.03 % (434007)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3321906976:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.82/2.03 % (434009)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2979349971:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.82/2.03 % (434010)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=240737267:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.82/2.03 % (434004)------------------------------
% 6.82/2.03 % (434004)------------------------------
% 6.82/2.03 % (434009)Instruction limit reached!
% 6.82/2.03 % (434009)------------------------------
% 6.82/2.03 % (434009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434009)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434009)Termination reason: Instruction limit
% 6.82/2.03 % (434009)Termination phase: Saturation
% 6.82/2.03 % (434009)Time elapsed: 0.074 s
% 6.82/2.03 % (434009)Peak memory usage: 90 MB
% 6.82/2.03 % (434009)Instructions burned: 114 (million)
% 6.82/2.03 % (434010)Instruction limit reached!
% 6.82/2.03 % (434010)------------------------------
% 6.82/2.03 % (434010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434010)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434010)Termination reason: Instruction limit
% 6.82/2.03 % (434010)Termination phase: Saturation
% 6.82/2.03 % (434010)Time elapsed: 0.065 s
% 6.82/2.03 % (434010)Peak memory usage: 89 MB
% 6.82/2.03 % (434010)Instructions burned: 128 (million)
% 6.82/2.03 % (433986)First to succeed.
% 6.82/2.03 % (433986)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-433979"
% 6.82/2.03 % (433984)Also succeeded, but the first one will report.
% 6.82/2.03 % (434014)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=261234311:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.82/2.03 % (434015)lrs+10_1_sil=8000:sp=occurrence:random_seed=1333110762:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.82/2.03 % (434014)Refutation not found, incomplete strategy
% 6.82/2.03 % (434014)------------------------------
% 6.82/2.03 % (434014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434014)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434014)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.03 % (434014)Time elapsed: 0.003 s
% 6.82/2.03 % (434014)Peak memory usage: 88 MB
% 6.82/2.03 % (434014)Instructions burned: 2 (million)
% 6.82/2.03 % (434016)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1528006081:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.82/2.03 % (434016)Refutation not found, incomplete strategy
% 6.82/2.03 % (434016)------------------------------
% 6.82/2.03 % (434016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.03 % (434016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.03 % (434016)CaDiCaL version: 2.1.3
% 6.82/2.03 % (434016)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.03 % (434016)Time elapsed: 0.003 s
% 6.82/2.03 % (434016)Peak memory usage: 88 MB
% 6.82/2.03 % (434016)Instructions burned: 4 (million)
% 6.82/2.03 % (433986)Refutation found. Thanks to Tanya!
% 6.82/2.03 % SZS status Theorem for theBenchmark
% 6.82/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.14 % (433986)------------------------------
% 0.17/2.14 % (433986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.14 % (433986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.14 % (433986)CaDiCaL version: 2.1.3
% 0.17/2.14 % (433986)Termination reason: Refutation
% 0.17/2.14 % (433986)Time elapsed: 0.729 s
% 0.17/2.14 % (433986)Peak memory usage: 129 MB
% 0.17/2.14 % (433986)Instructions burned: 1065 (million)
% 0.17/2.14 % (433986)------------------------------
% 0.17/2.14 % (433986)------------------------------
% 0.17/2.14 % (433979)Success in time 1.167 s
% 0.17/2.14 % Vampire exiting
%------------------------------------------------------------------------------