%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU042+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 : n001.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 12:47:07 PM UTC 2026
% Result : Theorem 3.67s 1.91s
% Output : Refutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 108 ( 22 unt; 3 def)
% Number of atoms : 453 ( 111 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 598 ( 253 ~; 257 |; 68 &)
% ( 10 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 132 ( 0 sgn 118 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f15,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f37,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f40,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f51,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f58,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f59,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f58]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f76,plain,
? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f75]) ).
fof(f78,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,[],[f6]) ).
fof(f79,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,[],[f78]) ).
fof(f80,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,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),X0)
& in(sK0(X0,X1,X2),X1) )
| in(sK0(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,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK1(X0) != sK2(X0)
& in(sK1(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0))
& apply(X0,sK1(X0)) = apply(X0,sK2(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f83]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ( apply(X1,sK14(X1,X2)) != apply(X2,sK14(X1,X2))
& in(sK14(X1,X2),relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X1,X2))],[f98]) ).
fof(f100,plain,
( ~ one_to_one(relation_dom_restriction(sK16,sK15))
& one_to_one(sK16)
& relation(sK16)
& function(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f76]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f81]) ).
fof(f114,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| X3 = X4
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f115,plain,
! [X0] :
( ~ relation(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0))
| one_to_one(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f116,plain,
! [X0] :
( in(sK2(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f117,plain,
! [X0] :
( in(sK1(X0),relation_dom(X0))
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f118,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f129,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f130,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f164,plain,
! [X2,X0,X1,X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1))
| relation_dom_restriction(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f165,plain,
! [X2,X0,X1] :
( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f170,plain,
function(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f171,plain,
relation(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f172,plain,
one_to_one(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f173,plain,
~ one_to_one(relation_dom_restriction(sK16,sK15)),
inference(cnf_transformation,[],[f100]) ).
fof(f176,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f178,plain,
! [X2,X0] :
( ~ relation(relation_dom_restriction(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ function(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f165]) ).
fof(f179,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(relation_dom_restriction(X2,X0))
| ~ function(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f164]) ).
fof(f180,definition,
sF17 = relation_dom_restriction(sK16,sK15),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f181,plain,
relation_dom_restriction(sK16,sK15) = sF17,
inference(reorient_equations,[],[f180]) ).
fof(f182,plain,
~ one_to_one(sF17),
inference(definition_folding,[],[f173,f181]) ).
fof(f184,plain,
( function(sF17)
| ~ relation(sK16)
| ~ function(sK16) ),
inference(superposition,[],[f129,f181]) ).
fof(f185,plain,
( function(sF17)
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f184,f171]) ).
fof(f186,plain,
function(sF17),
inference(forward_subsumption_resolution,[],[f185,f170]) ).
fof(f190,plain,
( relation(sF17)
| ~ relation(sK16)
| ~ function(sK16) ),
inference(superposition,[],[f130,f181]) ).
fof(f191,plain,
( relation(sF17)
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f190,f171]) ).
fof(f193,plain,
relation(sF17),
inference(forward_subsumption_resolution,[],[f191,f170]) ).
fof(f194,plain,
( apply(sF17,sK1(sF17)) = apply(sF17,sK2(sF17))
| one_to_one(sF17)
| ~ function(sF17) ),
inference(resolution,[],[f193,f115]) ).
fof(f195,plain,
( apply(sF17,sK1(sF17)) = apply(sF17,sK2(sF17))
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f194,f182]) ).
fof(f196,plain,
apply(sF17,sK1(sF17)) = apply(sF17,sK2(sF17)),
inference(forward_subsumption_resolution,[],[f195,f186]) ).
fof(f203,plain,
( ~ relation(sF17)
| ~ relation(sK16)
| ~ function(sK16)
| relation_dom(sF17) = set_intersection2(relation_dom(sK16),sK15)
| ~ function(sF17) ),
inference(superposition,[],[f178,f181]) ).
fof(f206,plain,
( ~ relation(sK16)
| ~ function(sK16)
| relation_dom(sF17) = set_intersection2(relation_dom(sK16),sK15)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f203,f193]) ).
fof(f209,plain,
( ~ function(sK16)
| relation_dom(sF17) = set_intersection2(relation_dom(sK16),sK15)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f206,f171]) ).
fof(f210,plain,
( relation_dom(sF17) = set_intersection2(relation_dom(sK16),sK15)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f209,f170]) ).
fof(f211,plain,
relation_dom(sF17) = set_intersection2(relation_dom(sK16),sK15),
inference(forward_subsumption_resolution,[],[f210,f186]) ).
fof(f229,plain,
! [X0] :
( ~ in(X0,relation_dom(sF17))
| apply(sF17,X0) = apply(sK16,X0)
| ~ relation(sK16)
| ~ function(sK16)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(superposition,[],[f179,f181]) ).
fof(f232,plain,
! [X0] :
( ~ in(X0,relation_dom(sF17))
| apply(sF17,X0) = apply(sK16,X0)
| ~ function(sK16)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f229,f171]) ).
fof(f236,plain,
! [X0] :
( ~ in(X0,relation_dom(sF17))
| apply(sF17,X0) = apply(sK16,X0)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f232,f170]) ).
fof(f240,plain,
! [X0] :
( ~ in(X0,relation_dom(sF17))
| apply(sF17,X0) = apply(sK16,X0)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f236,f193]) ).
fof(f241,plain,
! [X0] :
( ~ in(X0,relation_dom(sF17))
| apply(sF17,X0) = apply(sK16,X0) ),
inference(forward_subsumption_resolution,[],[f240,f186]) ).
fof(f242,plain,
( apply(sF17,sK1(sF17)) = apply(sK16,sK1(sF17))
| one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(resolution,[],[f241,f117]) ).
fof(f243,plain,
( apply(sF17,sK2(sF17)) = apply(sK16,sK2(sF17))
| one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(resolution,[],[f241,f116]) ).
fof(f244,plain,
( apply(sF17,sK2(sF17)) = apply(sK16,sK2(sF17))
| ~ relation(sF17)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f243,f182]) ).
fof(f245,plain,
( apply(sF17,sK1(sF17)) = apply(sK16,sK1(sF17))
| ~ relation(sF17)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f242,f182]) ).
fof(f246,plain,
( apply(sF17,sK2(sF17)) = apply(sK16,sK2(sF17))
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f244,f193]) ).
fof(f247,plain,
( apply(sF17,sK1(sF17)) = apply(sK16,sK1(sF17))
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f245,f193]) ).
fof(f248,plain,
apply(sF17,sK2(sF17)) = apply(sK16,sK2(sF17)),
inference(forward_subsumption_resolution,[],[f246,f186]) ).
fof(f249,plain,
apply(sF17,sK1(sF17)) = apply(sK16,sK1(sF17)),
inference(forward_subsumption_resolution,[],[f247,f186]) ).
fof(f250,plain,
apply(sF17,sK1(sF17)) = apply(sK16,sK2(sF17)),
inference(forward_demodulation,[],[f248,f196]) ).
fof(f251,plain,
apply(sK16,sK1(sF17)) = apply(sK16,sK2(sF17)),
inference(forward_demodulation,[],[f250,f249]) ).
fof(f252,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(sF17))
| ~ in(X0,relation_dom(sK16))
| ~ in(sK2(sF17),relation_dom(sK16))
| sK2(sF17) = X0
| ~ one_to_one(sK16)
| ~ relation(sK16)
| ~ function(sK16) ),
inference(superposition,[],[f114,f251]) ).
fof(f255,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(sF17))
| ~ in(X0,relation_dom(sK16))
| ~ in(sK2(sF17),relation_dom(sK16))
| sK2(sF17) = X0
| ~ relation(sK16)
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f252,f172]) ).
fof(f257,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(sF17))
| ~ in(X0,relation_dom(sK16))
| ~ in(sK2(sF17),relation_dom(sK16))
| sK2(sF17) = X0
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f255,f171]) ).
fof(f259,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(sF17))
| ~ in(X0,relation_dom(sK16))
| ~ in(sK2(sF17),relation_dom(sK16))
| sK2(sF17) = X0 ),
inference(forward_subsumption_resolution,[],[f257,f170]) ).
fof(f261,definition,
( spl18_1
<=> in(sK2(sF17),relation_dom(sK16)) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f263,plain,
( ~ in(sK2(sF17),relation_dom(sK16))
| spl18_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl18_2
<=> ! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(sF17))
| sK2(sF17) = X0
| ~ in(X0,relation_dom(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f266,plain,
( ! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(sF17))
| sK2(sF17) = X0
| ~ in(X0,relation_dom(sK16)) )
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f259,f265,f261]) ).
fof(f280,plain,
! [X0] :
( ~ in(X0,relation_dom(sF17))
| in(X0,relation_dom(sK16)) ),
inference(superposition,[],[f176,f211]) ).
fof(f281,plain,
( in(sK1(sF17),relation_dom(sK16))
| one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(resolution,[],[f280,f117]) ).
fof(f282,plain,
( in(sK2(sF17),relation_dom(sK16))
| one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17) ),
inference(resolution,[],[f280,f116]) ).
fof(f283,plain,
( one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f282,f263]) ).
fof(f284,plain,
( in(sK1(sF17),relation_dom(sK16))
| ~ relation(sF17)
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f281,f182]) ).
fof(f285,plain,
( ~ relation(sF17)
| ~ function(sF17)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f283,f182]) ).
fof(f286,plain,
( in(sK1(sF17),relation_dom(sK16))
| ~ function(sF17) ),
inference(forward_subsumption_resolution,[],[f284,f193]) ).
fof(f287,plain,
( ~ function(sF17)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f285,f193]) ).
fof(f288,plain,
in(sK1(sF17),relation_dom(sK16)),
inference(forward_subsumption_resolution,[],[f286,f186]) ).
fof(f289,plain,
( $false
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f287,f186]) ).
fof(f290,plain,
spl18_1,
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f291,plain,
( sK1(sF17) = sK2(sF17)
| ~ in(sK1(sF17),relation_dom(sK16))
| ~ spl18_2 ),
inference(equality_resolution,[],[f266]) ).
fof(f292,plain,
( sK1(sF17) = sK2(sF17)
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f291,f288]) ).
fof(f294,plain,
( sK1(sF17) != sK1(sF17)
| one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17)
| ~ spl18_2 ),
inference(superposition,[],[f118,f292]) ).
fof(f295,plain,
( one_to_one(sF17)
| ~ relation(sF17)
| ~ function(sF17)
| ~ spl18_2 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f296,plain,
( ~ relation(sF17)
| ~ function(sF17)
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f295,f182]) ).
fof(f297,plain,
( ~ function(sF17)
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f296,f193]) ).
fof(f298,plain,
( $false
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f297,f186]) ).
fof(f299,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f298]) ).
cnf(s2,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f268]) ).
cnf(s3,plain,
spl18_1,
inference(sat_conversion,[],[f290]) ).
cnf(s4,plain,
~ spl18_2,
inference(sat_conversion,[],[f299]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU042+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 03:32:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.67/1.91 % (4179456)Detected formulas, will run a generic FOF schedule.
% 3.67/1.91 % (4179467)dis-21_1_sil=8000:lcm=predicate:random_seed=490632326: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)
% 3.67/1.91 % (4179465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=940234866:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.91 % (4179462)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=580130854:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.91 % (4179463)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=3488864447:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.91 % (4179461)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=58353295:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.91 % (4179464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1821797915:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.91 % (4179465)Refutation not found, incomplete strategy
% 3.67/1.91 % (4179465)------------------------------
% 3.67/1.91 % (4179465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179465)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179465)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.91 % (4179465)Time elapsed: 0.001 s
% 3.67/1.91 % (4179465)Peak memory usage: 88 MB
% 3.67/1.91 % (4179464)Refutation not found, incomplete strategy
% 3.67/1.91 % (4179464)------------------------------
% 3.67/1.91 % (4179464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179464)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179464)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.91 % (4179464)Time elapsed: 0.001 s
% 3.67/1.91 % (4179464)Peak memory usage: 88 MB
% 3.67/1.91 % (4179464)Instructions burned: 1 (million)
% 3.67/1.91 % (4179467)Instruction limit reached!
% 3.67/1.91 % (4179467)------------------------------
% 3.67/1.91 % (4179467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179467)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179467)Termination reason: Instruction limit
% 3.67/1.91 % (4179467)Termination phase: Saturation
% 3.67/1.91 % (4179467)Time elapsed: 0.040 s
% 3.67/1.91 % (4179467)Peak memory usage: 90 MB
% 3.67/1.91 % (4179467)Instructions burned: 132 (million)
% 3.67/1.91 % (4179466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1235502343:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.91 % (4179474)lrs+10_1_sil=8000:sp=occurrence:random_seed=738978758:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.67/1.91 % (4179466)Instruction limit reached!
% 3.67/1.91 % (4179466)------------------------------
% 3.67/1.91 % (4179466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179466)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179466)Termination reason: Instruction limit
% 3.67/1.91 % (4179466)Termination phase: Saturation
% 3.67/1.91 % (4179466)Time elapsed: 0.096 s
% 3.67/1.91 % (4179466)Peak memory usage: 90 MB
% 3.67/1.91 % (4179466)Instructions burned: 140 (million)
% 3.67/1.91 % (4179474)Instruction limit reached!
% 3.67/1.91 % (4179474)------------------------------
% 3.67/1.91 % (4179474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179474)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179474)Termination reason: Instruction limit
% 3.67/1.91 % (4179474)Termination phase: Saturation
% 3.67/1.91 % (4179474)Time elapsed: 0.093 s
% 3.67/1.91 % (4179474)Peak memory usage: 91 MB
% 3.67/1.91 % (4179474)Instructions burned: 288 (million)
% 3.67/1.91 % (4179465)------------------------------
% 3.67/1.91 % (4179465)------------------------------
% 3.67/1.91 % (4179464)------------------------------
% 3.67/1.91 % (4179464)------------------------------
% 3.67/1.91 % (4179477)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2915314773:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.67/1.91 % (4179477)Instruction limit reached!
% 3.67/1.91 % (4179477)------------------------------
% 3.67/1.91 % (4179477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179477)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179477)Termination reason: Instruction limit
% 3.67/1.91 % (4179477)Termination phase: Saturation
% 3.67/1.91 % (4179477)Time elapsed: 0.047 s
% 3.67/1.91 % (4179477)Peak memory usage: 89 MB
% 3.67/1.91 % (4179477)Instructions burned: 158 (million)
% 3.67/1.91 % (4179478)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2424016218:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.67/1.91 % (4179480)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=1491952220:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.67/1.91 % (4179481)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3000403589:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.67/1.91 % (4179482)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=325851826:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.67/1.91 % (4179481)Refutation not found, incomplete strategy
% 3.67/1.91 % (4179481)------------------------------
% 3.67/1.91 % (4179481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179481)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179481)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.91 % (4179481)Time elapsed: 0.003 s
% 3.67/1.91 % (4179481)Peak memory usage: 88 MB
% 3.67/1.91 % (4179481)Instructions burned: 2 (million)
% 3.67/1.91 % (4179478)Instruction limit reached!
% 3.67/1.91 % (4179478)------------------------------
% 3.67/1.91 % (4179478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179478)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179478)Termination reason: Instruction limit
% 3.67/1.91 % (4179478)Termination phase: Saturation
% 3.67/1.91 % (4179478)Time elapsed: 0.176 s
% 3.67/1.91 % (4179478)Peak memory usage: 91 MB
% 3.67/1.91 % (4179478)Instructions burned: 325 (million)
% 3.67/1.91 % (4179480)Instruction limit reached!
% 3.67/1.91 % (4179480)------------------------------
% 3.67/1.91 % (4179480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179480)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179480)Termination reason: Instruction limit
% 3.67/1.91 % (4179480)Termination phase: Saturation
% 3.67/1.91 % (4179480)Time elapsed: 0.140 s
% 3.67/1.91 % (4179480)Peak memory usage: 93 MB
% 3.67/1.91 % (4179480)Instructions burned: 249 (million)
% 3.67/1.91 % (4179481)------------------------------
% 3.67/1.91 % (4179481)------------------------------
% 3.67/1.91 % (4179461)First to succeed.
% 3.67/1.91 % (4179461)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4179456"
% 3.67/1.91 % (4179487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3257612046:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 3.67/1.91 % (4179462)Also succeeded, but the first one will report.
% 3.67/1.91 % (4179463)Also succeeded, but the first one will report.
% 3.67/1.91 % (4179488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1885745698:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 3.67/1.91 % (4179487)Instruction limit reached!
% 3.67/1.91 % (4179487)------------------------------
% 3.67/1.91 % (4179487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179487)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179487)Termination reason: Instruction limit
% 3.67/1.91 % (4179487)Termination phase: Saturation
% 3.67/1.91 % (4179487)Time elapsed: 0.076 s
% 3.67/1.91 % (4179487)Peak memory usage: 90 MB
% 3.67/1.91 % (4179487)Instructions burned: 113 (million)
% 3.67/1.91 % (4179488)Instruction limit reached!
% 3.67/1.91 % (4179488)------------------------------
% 3.67/1.91 % (4179488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179488)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179488)Termination reason: Instruction limit
% 3.67/1.91 % (4179488)Termination phase: Saturation
% 3.67/1.91 % (4179488)Time elapsed: 0.065 s
% 3.67/1.91 % (4179488)Peak memory usage: 88 MB
% 3.67/1.91 % (4179488)Instructions burned: 127 (million)
% 3.67/1.91 % (4179482)Also succeeded, but the first one will report.
% 3.67/1.91 % (4179489)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2958254820:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 3.67/1.91 % (4179489)Instruction limit reached!
% 3.67/1.91 % (4179489)------------------------------
% 3.67/1.91 % (4179489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179489)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179489)Termination reason: Instruction limit
% 3.67/1.91 % (4179489)Termination phase: Saturation
% 3.67/1.91 % (4179489)Time elapsed: 0.059 s
% 3.67/1.91 % (4179489)Peak memory usage: 88 MB
% 3.67/1.91 % (4179489)Instructions burned: 116 (million)
% 3.67/1.91 % (4179492)lrs+10_1_sil=8000:sp=occurrence:random_seed=855765184:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 3.67/1.91 % (4179493)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3423182234:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 3.67/1.91 % (4179493)Refutation not found, incomplete strategy
% 3.67/1.91 % (4179493)------------------------------
% 3.67/1.91 % (4179493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.91 % (4179493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.91 % (4179493)CaDiCaL version: 2.1.3
% 3.67/1.91 % (4179493)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.91 % (4179493)Time elapsed: 0.003 s
% 3.67/1.91 % (4179493)Peak memory usage: 88 MB
% 3.67/1.91 % (4179493)Instructions burned: 3 (million)
% 3.67/1.91 % (4179461)Refutation found. Thanks to Tanya!
% 3.67/1.91 % SZS status Theorem for theBenchmark
% 3.67/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 7.95/2.12 % (4179461)------------------------------
% 7.95/2.12 % (4179461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/2.12 % (4179461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/2.12 % (4179461)CaDiCaL version: 2.1.3
% 7.95/2.12 % (4179461)Termination reason: Refutation
% 7.95/2.12 % (4179461)Time elapsed: 0.636 s
% 7.95/2.12 % (4179461)Peak memory usage: 129 MB
% 7.95/2.12 % (4179461)Instructions burned: 943 (million)
% 7.95/2.12 % (4179461)------------------------------
% 7.95/2.12 % (4179461)------------------------------
% 7.95/2.12 % (4179456)Success in time 1.045 s
% 7.95/2.12 % Vampire exiting
%------------------------------------------------------------------------------