%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU017+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:47:04 PM UTC 2026
% Result : Theorem 6.65s 1.97s
% Output : Refutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 128 ( 38 unt; 7 def)
% Number of atoms : 493 ( 170 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 603 ( 238 ~; 240 |; 93 &)
% ( 15 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 181 ( 0 sgn 159 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f31,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f32,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f33,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = X0
& relation_dom(X2) = X0
& subset(relation_rng(X2),X0)
& one_to_one(X1)
& relation_composition(X2,X1) = X1 )
=> X2 = identity_relation(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = X0
& relation_dom(X2) = X0
& subset(relation_rng(X2),X0)
& one_to_one(X1)
& relation_composition(X2,X1) = X1 )
=> X2 = identity_relation(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f49]) ).
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,[],[f5]) ).
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(f69,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f72,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f76,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
? [X0,X1] :
( ? [X2] :
( identity_relation(X0) != X2
& relation_dom(X1) = X0
& relation_dom(X2) = X0
& subset(relation_rng(X2),X0)
& one_to_one(X1)
& relation_composition(X2,X1) = X1
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f79,plain,
? [X0,X1] :
( ? [X2] :
( identity_relation(X0) != X2
& relation_dom(X1) = X0
& relation_dom(X2) = X0
& subset(relation_rng(X2),X0)
& one_to_one(X1)
& relation_composition(X2,X1) = X1
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK0(X0,X1) )
| ~ in(sK0(X0,X1),X1) )
& ( ( in(sK1(X0,X1),relation_dom(X0))
& sK0(X0,X1) = apply(X0,sK1(X0,X1)) )
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK2(X0,X5),relation_dom(X0))
& apply(X0,sK2(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f85]) ).
fof(f87,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(f88,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,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK3(X0) != sK4(X0)
& in(sK3(X0),relation_dom(X0))
& in(sK4(X0),relation_dom(X0))
& apply(X0,sK3(X0)) = apply(X0,sK4(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,[sK3,sK4]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0))],[f88]) ).
fof(f99,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f74]) ).
fof(f100,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ( sK14(X0,X1) != apply(X1,sK14(X0,X1))
& in(sK14(X0,X1),X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f101]) ).
fof(f103,plain,
( sK17 != identity_relation(sK15)
& sK15 = relation_dom(sK16)
& sK15 = relation_dom(sK17)
& subset(relation_rng(sK17),sK15)
& one_to_one(sK16)
& sK16 = relation_composition(sK17,sK16)
& relation(sK17)
& function(sK17)
& relation(sK16)
& function(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X2,sK17)],[f79]) ).
fof(f109,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f113,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,[],[f89]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f157,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f160,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| relation_dom(X1) != X0
| in(sK14(X0,X1),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f161,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| relation_dom(X1) != X0
| sK14(X0,X1) != apply(X1,sK14(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f164,plain,
function(sK16),
inference(cnf_transformation,[],[f103]) ).
fof(f165,plain,
relation(sK16),
inference(cnf_transformation,[],[f103]) ).
fof(f166,plain,
function(sK17),
inference(cnf_transformation,[],[f103]) ).
fof(f167,plain,
relation(sK17),
inference(cnf_transformation,[],[f103]) ).
fof(f168,plain,
sK16 = relation_composition(sK17,sK16),
inference(cnf_transformation,[],[f103]) ).
fof(f169,plain,
one_to_one(sK16),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
subset(relation_rng(sK17),sK15),
inference(cnf_transformation,[],[f103]) ).
fof(f171,plain,
sK15 = relation_dom(sK17),
inference(cnf_transformation,[],[f103]) ).
fof(f172,plain,
sK15 = relation_dom(sK16),
inference(cnf_transformation,[],[f103]) ).
fof(f173,plain,
sK17 != identity_relation(sK15),
inference(cnf_transformation,[],[f103]) ).
fof(f176,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f178,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f179,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ in(X6,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f178]) ).
fof(f182,plain,
! [X1] :
( sK14(relation_dom(X1),X1) != apply(X1,sK14(relation_dom(X1),X1))
| identity_relation(relation_dom(X1)) = X1
| ~ relation(X1)
| ~ function(X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f183,plain,
! [X1] :
( in(sK14(relation_dom(X1),X1),relation_dom(X1))
| identity_relation(relation_dom(X1)) = X1
| ~ relation(X1)
| ~ function(X1) ),
inference(equality_resolution,[],[f160]) ).
fof(f186,definition,
sF18 = identity_relation(sK15),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f187,plain,
identity_relation(sK15) = sF18,
inference(reorient_equations,[],[f186]) ).
fof(f188,plain,
sK17 != sF18,
inference(definition_folding,[],[f173,f187]) ).
fof(f189,definition,
sF19 = relation_dom(sK16),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f190,plain,
relation_dom(sK16) = sF19,
inference(reorient_equations,[],[f189]) ).
fof(f191,plain,
sK15 = sF19,
inference(definition_folding,[],[f172,f190]) ).
fof(f192,definition,
sF20 = relation_dom(sK17),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f193,plain,
relation_dom(sK17) = sF20,
inference(reorient_equations,[],[f192]) ).
fof(f194,plain,
sK15 = sF20,
inference(definition_folding,[],[f171,f193]) ).
fof(f195,definition,
sF21 = relation_rng(sK17),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f196,plain,
relation_rng(sK17) = sF21,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
subset(sF21,sK15),
inference(definition_folding,[],[f170,f196]) ).
fof(f198,definition,
sF22 = relation_composition(sK17,sK16),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f199,plain,
relation_composition(sK17,sK16) = sF22,
inference(reorient_equations,[],[f198]) ).
fof(f200,plain,
sK16 = sF22,
inference(definition_folding,[],[f168,f199]) ).
fof(f201,plain,
sK15 = relation_dom(sK16),
inference(forward_demodulation,[],[f190,f191]) ).
fof(f202,plain,
sK15 = relation_dom(sK17),
inference(forward_demodulation,[],[f193,f194]) ).
fof(f203,plain,
sK16 = relation_composition(sK17,sK16),
inference(forward_demodulation,[],[f199,f200]) ).
fof(f220,plain,
! [X0,X1] :
( ~ in(X0,sK15)
| apply(relation_composition(sK17,X1),X0) = apply(X1,apply(sK17,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(sK17)
| ~ function(sK17) ),
inference(superposition,[],[f156,f202]) ).
fof(f221,plain,
! [X0,X1] :
( ~ in(X0,sK15)
| apply(relation_composition(sK17,X1),X0) = apply(X1,apply(sK17,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ function(sK17) ),
inference(forward_subsumption_resolution,[],[f220,f167]) ).
fof(f223,plain,
! [X0,X1] :
( ~ in(X0,sK15)
| apply(relation_composition(sK17,X1),X0) = apply(X1,apply(sK17,X0))
| ~ relation(X1)
| ~ function(X1) ),
inference(forward_subsumption_resolution,[],[f221,f166]) ).
fof(f242,plain,
! [X0] :
( in(apply(sK17,X0),sF21)
| ~ in(X0,relation_dom(sK17))
| ~ relation(sK17)
| ~ function(sK17) ),
inference(superposition,[],[f179,f196]) ).
fof(f244,plain,
! [X0] :
( in(apply(sK17,X0),sF21)
| ~ in(X0,relation_dom(sK17))
| ~ function(sK17) ),
inference(forward_subsumption_resolution,[],[f242,f167]) ).
fof(f245,plain,
! [X0] :
( in(apply(sK17,X0),sF21)
| ~ in(X0,relation_dom(sK17)) ),
inference(forward_subsumption_resolution,[],[f244,f166]) ).
fof(f246,plain,
! [X0] :
( in(apply(sK17,X0),sF21)
| ~ in(X0,sK15) ),
inference(forward_demodulation,[],[f245,f202]) ).
fof(f250,plain,
( in(sK14(sK15,sK17),sK15)
| sK17 = identity_relation(sK15)
| ~ relation(sK17)
| ~ function(sK17) ),
inference(superposition,[],[f183,f202]) ).
fof(f252,plain,
( in(sK14(sK15,sK17),sK15)
| sK17 = identity_relation(sK15)
| ~ function(sK17) ),
inference(forward_subsumption_resolution,[],[f250,f167]) ).
fof(f254,plain,
( in(sK14(sK15,sK17),sK15)
| sK17 = identity_relation(sK15) ),
inference(forward_subsumption_resolution,[],[f252,f166]) ).
fof(f256,plain,
( sK17 = sF18
| in(sK14(sK15,sK17),sK15) ),
inference(forward_demodulation,[],[f254,f187]) ).
fof(f258,plain,
in(sK14(sK15,sK17),sK15),
inference(forward_subsumption_resolution,[],[f256,f188]) ).
fof(f268,plain,
! [X0] :
( ~ relation(X0)
| apply(relation_composition(sK17,X0),sK14(sK15,sK17)) = apply(X0,apply(sK17,sK14(sK15,sK17)))
| ~ function(X0) ),
inference(resolution,[],[f258,f223]) ).
fof(f273,plain,
( sK14(sK15,sK17) != apply(sK17,sK14(sK15,sK17))
| sK17 = identity_relation(sK15)
| ~ relation(sK17)
| ~ function(sK17) ),
inference(superposition,[],[f182,f202]) ).
fof(f274,plain,
( sK14(sK15,sK17) != apply(sK17,sK14(sK15,sK17))
| sK17 = identity_relation(sK15)
| ~ function(sK17) ),
inference(forward_subsumption_resolution,[],[f273,f167]) ).
fof(f276,plain,
( sK14(sK15,sK17) != apply(sK17,sK14(sK15,sK17))
| sK17 = identity_relation(sK15) ),
inference(forward_subsumption_resolution,[],[f274,f166]) ).
fof(f278,plain,
( sK17 = sF18
| sK14(sK15,sK17) != apply(sK17,sK14(sK15,sK17)) ),
inference(forward_demodulation,[],[f276,f187]) ).
fof(f280,plain,
sK14(sK15,sK17) != apply(sK17,sK14(sK15,sK17)),
inference(forward_subsumption_resolution,[],[f278,f188]) ).
fof(f459,plain,
( apply(relation_composition(sK17,sK16),sK14(sK15,sK17)) = apply(sK16,apply(sK17,sK14(sK15,sK17)))
| ~ function(sK16) ),
inference(resolution,[],[f268,f165]) ).
fof(f464,plain,
apply(relation_composition(sK17,sK16),sK14(sK15,sK17)) = apply(sK16,apply(sK17,sK14(sK15,sK17))),
inference(forward_subsumption_resolution,[],[f459,f164]) ).
fof(f466,plain,
apply(sK16,sK14(sK15,sK17)) = apply(sK16,apply(sK17,sK14(sK15,sK17))),
inference(forward_demodulation,[],[f464,f203]) ).
fof(f468,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| ~ in(X0,relation_dom(sK16))
| ~ in(apply(sK17,sK14(sK15,sK17)),relation_dom(sK16))
| apply(sK17,sK14(sK15,sK17)) = X0
| ~ one_to_one(sK16)
| ~ relation(sK16)
| ~ function(sK16) ),
inference(superposition,[],[f113,f466]) ).
fof(f471,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| ~ in(X0,relation_dom(sK16))
| ~ in(apply(sK17,sK14(sK15,sK17)),relation_dom(sK16))
| apply(sK17,sK14(sK15,sK17)) = X0
| ~ relation(sK16)
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f468,f169]) ).
fof(f474,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| ~ in(X0,relation_dom(sK16))
| ~ in(apply(sK17,sK14(sK15,sK17)),relation_dom(sK16))
| apply(sK17,sK14(sK15,sK17)) = X0
| ~ function(sK16) ),
inference(forward_subsumption_resolution,[],[f471,f165]) ).
fof(f477,plain,
! [X0] :
( apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| ~ in(X0,relation_dom(sK16))
| ~ in(apply(sK17,sK14(sK15,sK17)),relation_dom(sK16))
| apply(sK17,sK14(sK15,sK17)) = X0 ),
inference(forward_subsumption_resolution,[],[f474,f164]) ).
fof(f480,plain,
! [X0] :
( ~ in(X0,sK15)
| apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| ~ in(apply(sK17,sK14(sK15,sK17)),relation_dom(sK16))
| apply(sK17,sK14(sK15,sK17)) = X0 ),
inference(forward_demodulation,[],[f477,f201]) ).
fof(f486,definition,
( spl23_18
<=> in(apply(sK17,sK14(sK15,sK17)),sK15) ),
introduced(definition,[new_symbols(definition,[spl23_18])],[avatar_definition]) ).
fof(f488,plain,
( ~ in(apply(sK17,sK14(sK15,sK17)),sK15)
| spl23_18 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f491,plain,
! [X0] :
( ~ in(apply(sK17,sK14(sK15,sK17)),sK15)
| ~ in(X0,sK15)
| apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| apply(sK17,sK14(sK15,sK17)) = X0 ),
inference(forward_demodulation,[],[f480,f201]) ).
fof(f493,definition,
( spl23_19
<=> ! [X0] :
( ~ in(X0,sK15)
| apply(sK17,sK14(sK15,sK17)) = X0
| apply(sK16,X0) != apply(sK16,sK14(sK15,sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl23_19])],[avatar_definition]) ).
fof(f494,plain,
( ! [X0] :
( apply(sK16,X0) != apply(sK16,sK14(sK15,sK17))
| apply(sK17,sK14(sK15,sK17)) = X0
| ~ in(X0,sK15) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f496,plain,
( spl23_19
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f491,f486,f493]) ).
fof(f697,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f163,f162]) ).
fof(f698,plain,
! [X0] :
( ~ in(X0,sF21)
| element(X0,sK15) ),
inference(resolution,[],[f697,f197]) ).
fof(f699,plain,
! [X0] :
( element(apply(sK17,X0),sK15)
| ~ in(X0,sK15) ),
inference(resolution,[],[f698,f246]) ).
fof(f700,plain,
! [X0] :
( ~ in(X0,sK15)
| in(apply(sK17,X0),sK15)
| empty(sK15) ),
inference(resolution,[],[f699,f157]) ).
fof(f701,plain,
! [X0] :
( in(apply(sK17,X0),sK15)
| ~ in(X0,sK15) ),
inference(forward_subsumption_resolution,[],[f700,f176]) ).
fof(f702,plain,
( ~ in(sK14(sK15,sK17),sK15)
| spl23_18 ),
inference(resolution,[],[f701,f488]) ).
fof(f715,plain,
( $false
| spl23_18 ),
inference(forward_subsumption_resolution,[],[f702,f258]) ).
fof(f716,plain,
spl23_18,
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f718,plain,
( sK14(sK15,sK17) = apply(sK17,sK14(sK15,sK17))
| ~ in(sK14(sK15,sK17),sK15)
| ~ spl23_19 ),
inference(equality_resolution,[],[f494]) ).
fof(f719,plain,
( ~ in(sK14(sK15,sK17),sK15)
| ~ spl23_19 ),
inference(forward_subsumption_resolution,[],[f718,f280]) ).
fof(f721,plain,
( $false
| ~ spl23_19 ),
inference(forward_subsumption_resolution,[],[f719,f258]) ).
fof(f722,plain,
~ spl23_19,
inference(avatar_contradiction_clause,[],[f721]) ).
cnf(s14,plain,
( ~ spl23_18
| spl23_19 ),
inference(sat_conversion,[],[f496]) ).
cnf(s35,plain,
spl23_18,
inference(sat_conversion,[],[f716]) ).
cnf(s36,plain,
~ spl23_19,
inference(sat_conversion,[],[f722]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s14,s36,s35]) ).
fof(f732,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU017+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 03:22:45 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.65/1.97 % (2634331)Detected formulas, will run a generic FOF schedule.
% 6.65/1.97 % (2634342)dis-21_1_sil=8000:lcm=predicate:random_seed=1660337305: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)
% 6.65/1.97 % (2634338)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=2914403522:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.65/1.97 % (2634337)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=2822147112:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.65/1.97 % (2634336)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=1770246352:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.65/1.97 % (2634339)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2786016210:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.65/1.97 % (2634340)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1194731562:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.65/1.97 % (2634341)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1175914551:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.65/1.97 % (2634342)Instruction limit reached!
% 6.65/1.97 % (2634342)------------------------------
% 6.65/1.97 % (2634342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634342)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634342)Termination reason: Instruction limit
% 6.65/1.97 % (2634342)Termination phase: Saturation
% 6.65/1.97 % (2634342)Time elapsed: 0.040 s
% 6.65/1.97 % (2634342)Peak memory usage: 90 MB
% 6.65/1.97 % (2634342)Instructions burned: 131 (million)
% 6.65/1.97 % (2634339)Refutation not found, incomplete strategy
% 6.65/1.97 % (2634339)------------------------------
% 6.65/1.97 % (2634339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634339)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634339)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.97 % (2634339)Time elapsed: 0.004 s
% 6.65/1.97 % (2634339)Peak memory usage: 88 MB
% 6.65/1.97 % (2634339)Instructions burned: 4 (million)
% 6.65/1.97 % (2634340)Instruction limit reached!
% 6.65/1.97 % (2634340)------------------------------
% 6.65/1.97 % (2634340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634340)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634340)Termination reason: Instruction limit
% 6.65/1.97 % (2634340)Termination phase: Saturation
% 6.65/1.97 % (2634340)Time elapsed: 0.068 s
% 6.65/1.97 % (2634340)Peak memory usage: 88 MB
% 6.65/1.97 % (2634340)Instructions burned: 119 (million)
% 6.65/1.97 % (2634341)Instruction limit reached!
% 6.65/1.97 % (2634341)------------------------------
% 6.65/1.97 % (2634341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634341)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634341)Termination reason: Instruction limit
% 6.65/1.97 % (2634341)Termination phase: Saturation
% 6.65/1.97 % (2634341)Time elapsed: 0.095 s
% 6.65/1.97 % (2634341)Peak memory usage: 90 MB
% 6.65/1.97 % (2634341)Instructions burned: 140 (million)
% 6.65/1.97 % (2634350)lrs+10_1_sil=8000:sp=occurrence:random_seed=2771180882:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.65/1.97 % (2634350)Instruction limit reached!
% 6.65/1.97 % (2634350)------------------------------
% 6.65/1.97 % (2634350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634350)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634350)Termination reason: Instruction limit
% 6.65/1.97 % (2634350)Termination phase: Saturation
% 6.65/1.97 % (2634350)Time elapsed: 0.088 s
% 6.65/1.97 % (2634350)Peak memory usage: 91 MB
% 6.65/1.97 % (2634350)Instructions burned: 288 (million)
% 6.65/1.97 % (2634351)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2665672822:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.65/1.97 % (2634339)------------------------------
% 6.65/1.97 % (2634339)------------------------------
% 6.65/1.97 % (2634352)lrs+1011_1_sil=32000:sp=occurrence:random_seed=768921047:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.65/1.97 % (2634351)Instruction limit reached!
% 6.65/1.97 % (2634351)------------------------------
% 6.65/1.97 % (2634351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634351)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634351)Termination reason: Instruction limit
% 6.65/1.97 % (2634351)Termination phase: Saturation
% 6.65/1.97 % (2634351)Time elapsed: 0.081 s
% 6.65/1.97 % (2634351)Peak memory usage: 90 MB
% 6.65/1.97 % (2634351)Instructions burned: 159 (million)
% 6.65/1.97 % (2634354)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=3474896764:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.65/1.97 % (2634354)Instruction limit reached!
% 6.65/1.97 % (2634354)------------------------------
% 6.65/1.97 % (2634354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634354)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634354)Termination reason: Instruction limit
% 6.65/1.97 % (2634354)Termination phase: Saturation
% 6.65/1.97 % (2634354)Time elapsed: 0.073 s
% 6.65/1.97 % (2634354)Peak memory usage: 93 MB
% 6.65/1.97 % (2634354)Instructions burned: 249 (million)
% 6.65/1.97 % (2634356)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2786599325:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.65/1.97 % (2634358)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2558795687:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.65/1.97 % (2634352)Instruction limit reached!
% 6.65/1.97 % (2634352)------------------------------
% 6.65/1.97 % (2634352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634352)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634352)Termination reason: Instruction limit
% 6.65/1.97 % (2634352)Termination phase: Saturation
% 6.65/1.97 % (2634352)Time elapsed: 0.216 s
% 6.65/1.97 % (2634352)Peak memory usage: 92 MB
% 6.65/1.97 % (2634352)Instructions burned: 325 (million)
% 6.65/1.97 % (2634360)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1785174195:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.65/1.97 % (2634360)Instruction limit reached!
% 6.65/1.97 % (2634360)------------------------------
% 6.65/1.97 % (2634360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634360)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634360)Termination reason: Instruction limit
% 6.65/1.97 % (2634360)Termination phase: Saturation
% 6.65/1.97 % (2634360)Time elapsed: 0.044 s
% 6.65/1.97 % (2634360)Peak memory usage: 91 MB
% 6.65/1.97 % (2634360)Instructions burned: 116 (million)
% 6.65/1.97 % (2634356)Instruction limit reached!
% 6.65/1.97 % (2634356)------------------------------
% 6.65/1.97 % (2634356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634356)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634356)Termination reason: Instruction limit
% 6.65/1.97 % (2634356)Termination phase: Saturation
% 6.65/1.97 % (2634356)Time elapsed: 0.158 s
% 6.65/1.97 % (2634356)Peak memory usage: 88 MB
% 6.65/1.97 % (2634356)Instructions burned: 295 (million)
% 6.65/1.97 % (2634363)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2962879689:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.65/1.97 % (2634365)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4039868299:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.65/1.97 % (2634336)First to succeed.
% 6.65/1.97 % (2634336)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2634331"
% 6.65/1.97 % (2634363)Instruction limit reached!
% 6.65/1.97 % (2634363)------------------------------
% 6.65/1.97 % (2634363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634363)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634363)Termination reason: Instruction limit
% 6.65/1.97 % (2634363)Termination phase: Saturation
% 6.65/1.97 % (2634363)Time elapsed: 0.067 s
% 6.65/1.97 % (2634363)Peak memory usage: 88 MB
% 6.65/1.97 % (2634363)Instructions burned: 127 (million)
% 6.65/1.97 % (2634365)Instruction limit reached!
% 6.65/1.97 % (2634365)------------------------------
% 6.65/1.97 % (2634365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (2634365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (2634365)CaDiCaL version: 2.1.3
% 6.65/1.97 % (2634365)Termination reason: Instruction limit
% 6.65/1.97 % (2634365)Termination phase: Saturation
% 6.65/1.97 % (2634365)Time elapsed: 0.035 s
% 6.65/1.97 % (2634365)Peak memory usage: 89 MB
% 6.65/1.97 % (2634365)Instructions burned: 117 (million)
% 6.65/1.97 % (2634366)lrs+10_1_sil=8000:sp=occurrence:random_seed=354501102:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.65/1.97 % (2634370)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=606860538:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.65/1.97 % (2634369)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1118429864:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.65/1.97 % (2634336)Refutation found. Thanks to Tanya!
% 6.65/1.97 % SZS status Theorem for theBenchmark
% 6.65/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.48/2.07 % (2634336)------------------------------
% 8.48/2.07 % (2634336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.48/2.07 % (2634336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/2.07 % (2634336)CaDiCaL version: 2.1.3
% 8.48/2.07 % (2634336)Termination reason: Refutation
% 8.48/2.07 % (2634336)Time elapsed: 0.697 s
% 8.48/2.07 % (2634336)Peak memory usage: 129 MB
% 8.48/2.07 % (2634336)Instructions burned: 1024 (million)
% 8.48/2.07 % (2634336)------------------------------
% 8.48/2.07 % (2634336)------------------------------
% 8.48/2.07 % (2634331)Success in time 1.13 s
% 8.48/2.07 % Vampire exiting
%------------------------------------------------------------------------------