%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU011+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:51:47 PM UTC 2026
% Result : Theorem 15.25s 5.31s
% Output : Refutation 15.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 116 ( 39 unt; 5 def)
% Number of atoms : 379 ( 131 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 455 ( 192 ~; 202 |; 48 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 136 ( 128 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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(f6,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f11,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(f15,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f31,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f34,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/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f35,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_funct_1) ).
fof(f37,conjecture,
! [X0,X1] : relation_composition(identity_relation(X1),identity_relation(X0)) = identity_relation(set_intersection2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_funct_1) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] : relation_composition(identity_relation(X1),identity_relation(X0)) = identity_relation(set_intersection2(X0,X1)),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f53,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f53]) ).
fof(f57,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f57]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f68]) ).
fof(f72,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,[],[f34]) ).
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(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f75,plain,
! [X0,X1] :
( relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f74]) ).
fof(f77,plain,
? [X0,X1] : relation_composition(identity_relation(X1),identity_relation(X0)) != identity_relation(set_intersection2(X0,X1)),
inference(ennf_transformation,[],[f38]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [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,[],[f5]) ).
fof(f87,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,[],[f86]) ).
fof(f88,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,[],[f87]) ).
fof(f89,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))],[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,[],[f73]) ).
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
| ( sK10(X0,X1) != apply(X1,sK10(X0,X1))
& in(sK10(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,[sK10]),skolemize(X2,sK10(X0,X1))],[f101]) ).
fof(f103,plain,
relation_composition(identity_relation(sK12),identity_relation(sK11)) != identity_relation(set_intersection2(sK11,sK12)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f77]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f110,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f115,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f122,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f127,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f128,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f155,plain,
! [X3,X0,X1] :
( apply(X1,X3) = X3
| ~ in(X3,X0)
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f156,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f157,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| relation_dom(X1) != X0
| in(sK10(X0,X1),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| relation_dom(X1) != X0
| sK10(X0,X1) != apply(X1,sK10(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f159,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0)
| ~ function(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f161,plain,
relation_composition(identity_relation(sK12),identity_relation(sK11)) != identity_relation(set_intersection2(sK11,sK12)),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f171,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f109]) ).
fof(f172,plain,
! [X1] :
( sK10(relation_dom(X1),X1) != apply(X1,sK10(relation_dom(X1),X1))
| identity_relation(relation_dom(X1)) = X1
| ~ relation(X1)
| ~ function(X1) ),
inference(equality_resolution,[],[f158]) ).
fof(f173,plain,
! [X1] :
( in(sK10(relation_dom(X1),X1),relation_dom(X1))
| identity_relation(relation_dom(X1)) = X1
| ~ relation(X1)
| ~ function(X1) ),
inference(equality_resolution,[],[f157]) ).
fof(f174,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f156]) ).
fof(f175,plain,
! [X3,X0] :
( ~ relation(identity_relation(X0))
| ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f155]) ).
fof(f176,definition,
sF14 = identity_relation(sK12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f177,plain,
identity_relation(sK12) = sF14,
inference(reorient_equations,[],[f176]) ).
fof(f178,definition,
sF15 = identity_relation(sK11),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f179,plain,
identity_relation(sK11) = sF15,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF16 = relation_composition(sF14,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f181,plain,
relation_composition(sF14,sF15) = sF16,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF17 = set_intersection2(sK11,sK12),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f183,plain,
set_intersection2(sK11,sK12) = sF17,
inference(reorient_equations,[],[f182]) ).
fof(f184,definition,
sF18 = identity_relation(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f185,plain,
identity_relation(sF17) = sF18,
inference(reorient_equations,[],[f184]) ).
fof(f186,plain,
sF16 != sF18,
inference(definition_folding,[],[f161,f185,f183,f181,f179,f177]) ).
fof(f195,plain,
relation(sF14),
inference(superposition,[],[f128,f177]) ).
fof(f196,plain,
function(sF14),
inference(superposition,[],[f127,f177]) ).
fof(f197,plain,
relation(sF15),
inference(superposition,[],[f128,f179]) ).
fof(f198,plain,
function(sF15),
inference(superposition,[],[f127,f179]) ).
fof(f259,plain,
( relation(sF16)
| ~ relation(sF14)
| ~ relation(sF15) ),
inference(superposition,[],[f115,f181]) ).
fof(f260,plain,
( relation(sF16)
| ~ relation(sF15) ),
inference(forward_subsumption_resolution,[],[f259,f195]) ).
fof(f261,plain,
relation(sF16),
inference(forward_subsumption_resolution,[],[f260,f197]) ).
fof(f304,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sK11) ),
inference(superposition,[],[f170,f183]) ).
fof(f310,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sK12) ),
inference(superposition,[],[f171,f183]) ).
fof(f346,plain,
( ~ relation(sF15)
| sK11 = relation_dom(sF15)
| ~ function(sF15) ),
inference(superposition,[],[f174,f179]) ).
fof(f349,plain,
( sK11 = relation_dom(sF15)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f346,f197]) ).
fof(f353,plain,
sK11 = relation_dom(sF15),
inference(forward_subsumption_resolution,[],[f349,f198]) ).
fof(f360,plain,
( function(sF16)
| ~ relation(sF14)
| ~ function(sF14)
| ~ relation(sF15)
| ~ function(sF15) ),
inference(superposition,[],[f122,f181]) ).
fof(f361,plain,
( function(sF16)
| ~ function(sF14)
| ~ relation(sF15)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f360,f195]) ).
fof(f362,plain,
( function(sF16)
| ~ relation(sF15)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f361,f196]) ).
fof(f363,plain,
( function(sF16)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f362,f197]) ).
fof(f364,plain,
function(sF16),
inference(forward_subsumption_resolution,[],[f363,f198]) ).
fof(f386,plain,
! [X0] :
( relation_dom(relation_composition(identity_relation(X0),sF15)) = set_intersection2(relation_dom(sF15),X0)
| ~ function(sF15) ),
inference(resolution,[],[f159,f197]) ).
fof(f391,plain,
! [X0] : relation_dom(relation_composition(identity_relation(X0),sF15)) = set_intersection2(relation_dom(sF15),X0),
inference(forward_subsumption_resolution,[],[f386,f198]) ).
fof(f403,plain,
! [X0] : relation_dom(relation_composition(identity_relation(X0),sF15)) = set_intersection2(sK11,X0),
inference(forward_demodulation,[],[f391,f353]) ).
fof(f423,plain,
! [X0] :
( ~ relation(sF14)
| ~ in(X0,sK12)
| apply(sF14,X0) = X0
| ~ function(sF14) ),
inference(superposition,[],[f175,f177]) ).
fof(f424,plain,
! [X0] :
( ~ relation(sF15)
| ~ in(X0,sK11)
| apply(sF15,X0) = X0
| ~ function(sF15) ),
inference(superposition,[],[f175,f179]) ).
fof(f427,plain,
! [X0] :
( ~ in(X0,sK11)
| apply(sF15,X0) = X0
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f424,f197]) ).
fof(f428,plain,
! [X0] :
( ~ in(X0,sK12)
| apply(sF14,X0) = X0
| ~ function(sF14) ),
inference(forward_subsumption_resolution,[],[f423,f195]) ).
fof(f431,plain,
! [X0] :
( ~ in(X0,sK11)
| apply(sF15,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f427,f198]) ).
fof(f432,plain,
! [X0] :
( ~ in(X0,sK12)
| apply(sF14,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f428,f196]) ).
fof(f523,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sF15,apply(sF14,X0)) = apply(sF16,X0)
| ~ relation(sF14)
| ~ function(sF14)
| ~ relation(sF15)
| ~ function(sF15) ),
inference(superposition,[],[f152,f181]) ).
fof(f524,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sF15,apply(sF14,X0)) = apply(sF16,X0)
| ~ function(sF14)
| ~ relation(sF15)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f523,f195]) ).
fof(f526,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sF15,apply(sF14,X0)) = apply(sF16,X0)
| ~ relation(sF15)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f524,f196]) ).
fof(f528,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sF15,apply(sF14,X0)) = apply(sF16,X0)
| ~ function(sF15) ),
inference(forward_subsumption_resolution,[],[f526,f197]) ).
fof(f529,plain,
! [X0] :
( ~ in(X0,relation_dom(sF16))
| apply(sF15,apply(sF14,X0)) = apply(sF16,X0) ),
inference(forward_subsumption_resolution,[],[f528,f198]) ).
fof(f1227,plain,
( apply(sF15,apply(sF14,sK10(relation_dom(sF16),sF16))) = apply(sF16,sK10(relation_dom(sF16),sF16))
| sF16 = identity_relation(relation_dom(sF16))
| ~ relation(sF16)
| ~ function(sF16) ),
inference(resolution,[],[f529,f173]) ).
fof(f1228,plain,
( apply(sF15,apply(sF14,sK10(relation_dom(sF16),sF16))) = apply(sF16,sK10(relation_dom(sF16),sF16))
| sF16 = identity_relation(relation_dom(sF16))
| ~ function(sF16) ),
inference(forward_subsumption_resolution,[],[f1227,f261]) ).
fof(f1229,plain,
( apply(sF15,apply(sF14,sK10(relation_dom(sF16),sF16))) = apply(sF16,sK10(relation_dom(sF16),sF16))
| sF16 = identity_relation(relation_dom(sF16)) ),
inference(forward_subsumption_resolution,[],[f1228,f364]) ).
fof(f3440,plain,
set_intersection2(sK11,sK12) = relation_dom(relation_composition(sF14,sF15)),
inference(superposition,[],[f403,f177]) ).
fof(f3463,plain,
set_intersection2(sK11,sK12) = relation_dom(sF16),
inference(forward_demodulation,[],[f3440,f181]) ).
fof(f3471,plain,
sF17 = relation_dom(sF16),
inference(forward_demodulation,[],[f3463,f183]) ).
fof(f3489,plain,
( sK10(sF17,sF16) != apply(sF16,sK10(sF17,sF16))
| sF16 = identity_relation(sF17)
| ~ relation(sF16)
| ~ function(sF16) ),
inference(superposition,[],[f172,f3471]) ).
fof(f3490,plain,
( in(sK10(sF17,sF16),sF17)
| sF16 = identity_relation(sF17)
| ~ relation(sF16)
| ~ function(sF16) ),
inference(superposition,[],[f173,f3471]) ).
fof(f3498,plain,
( in(sK10(sF17,sF16),sF17)
| sF16 = identity_relation(sF17)
| ~ function(sF16) ),
inference(forward_subsumption_resolution,[],[f3490,f261]) ).
fof(f3499,plain,
( sK10(sF17,sF16) != apply(sF16,sK10(sF17,sF16))
| sF16 = identity_relation(sF17)
| ~ function(sF16) ),
inference(forward_subsumption_resolution,[],[f3489,f261]) ).
fof(f3506,plain,
( in(sK10(sF17,sF16),sF17)
| sF16 = identity_relation(sF17) ),
inference(forward_subsumption_resolution,[],[f3498,f364]) ).
fof(f3507,plain,
( sK10(sF17,sF16) != apply(sF16,sK10(sF17,sF16))
| sF16 = identity_relation(sF17) ),
inference(forward_subsumption_resolution,[],[f3499,f364]) ).
fof(f3513,plain,
( sF16 = sF18
| in(sK10(sF17,sF16),sF17) ),
inference(forward_demodulation,[],[f3506,f185]) ).
fof(f3514,plain,
( sF16 = sF18
| sK10(sF17,sF16) != apply(sF16,sK10(sF17,sF16)) ),
inference(forward_demodulation,[],[f3507,f185]) ).
fof(f3518,plain,
in(sK10(sF17,sF16),sF17),
inference(forward_subsumption_resolution,[],[f3513,f186]) ).
fof(f3519,plain,
sK10(sF17,sF16) != apply(sF16,sK10(sF17,sF16)),
inference(forward_subsumption_resolution,[],[f3514,f186]) ).
fof(f3659,plain,
in(sK10(sF17,sF16),sK12),
inference(resolution,[],[f3518,f310]) ).
fof(f3660,plain,
in(sK10(sF17,sF16),sK11),
inference(resolution,[],[f3518,f304]) ).
fof(f3704,plain,
sK10(sF17,sF16) = apply(sF14,sK10(sF17,sF16)),
inference(resolution,[],[f3659,f432]) ).
fof(f3761,plain,
sK10(sF17,sF16) = apply(sF15,sK10(sF17,sF16)),
inference(resolution,[],[f3660,f431]) ).
fof(f12788,plain,
( apply(sF16,sK10(sF17,sF16)) = apply(sF15,apply(sF14,sK10(sF17,sF16)))
| sF16 = identity_relation(sF17) ),
inference(superposition,[],[f1229,f3471]) ).
fof(f12789,plain,
( apply(sF16,sK10(sF17,sF16)) = apply(sF15,sK10(sF17,sF16))
| sF16 = identity_relation(sF17) ),
inference(forward_demodulation,[],[f12788,f3704]) ).
fof(f12790,plain,
( sK10(sF17,sF16) = apply(sF16,sK10(sF17,sF16))
| sF16 = identity_relation(sF17) ),
inference(forward_demodulation,[],[f12789,f3761]) ).
fof(f12791,plain,
sF16 = identity_relation(sF17),
inference(forward_subsumption_resolution,[],[f12790,f3519]) ).
fof(f12793,plain,
sF16 = sF18,
inference(superposition,[],[f185,f12791]) ).
fof(f12847,plain,
$false,
inference(forward_subsumption_resolution,[],[f12793,f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU011+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n008.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 03:22:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.56/2.66 % (1836183)Will run a generic schedule for satisfiability detection.
% 15.56/2.66 % (1836190)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2561239557:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.56/2.66 % (1836189)% WARNING: option uhcvi not known.
% 15.56/2.66 % (1836188)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=855518593_2999 on theBenchmark for (2999ds/0Mi)
% 15.56/2.66 % (1836191)dis+10_1_sil=32000:sp=arity:random_seed=3598988835:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.56/2.66 % (1836193)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3248640917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.56/2.66 % (1836189)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2374684955:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.56/2.66 % (1836192)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2515277367:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.56/2.66 % (1836194)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2085376880:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.56/2.66 % TRYING [1]
% 15.56/2.66 % TRYING [2]
% 15.56/2.66 % TRYING [3]
% 15.56/2.66 % TRYING [4]
% 15.56/2.66 % TRYING [5]
% 15.56/2.66 % TRYING [6]
% 15.56/2.66 % (1836191)Instruction limit reached!
% 15.56/2.66 % (1836191)------------------------------
% 15.56/2.66 % (1836191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (1836191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (1836191)CaDiCaL version: 2.1.3
% 15.56/2.66 % (1836191)Termination reason: Instruction limit
% 15.56/2.66 % (1836191)Termination phase: Saturation
% 15.56/2.66 % (1836191)Time elapsed: 0.060 s
% 15.56/2.66 % (1836191)Peak memory usage: 12 MB
% 15.56/2.66 % (1836191)Instructions burned: 104 (million)
% 15.56/2.66 % (1836192)Instruction limit reached!
% 15.56/2.66 % (1836192)------------------------------
% 15.56/2.66 % (1836192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (1836192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (1836192)CaDiCaL version: 2.1.3
% 15.56/2.66 % (1836192)Termination reason: Instruction limit
% 15.56/2.66 % (1836192)Termination phase: Saturation
% 15.56/2.66 % (1836192)Time elapsed: 0.068 s
% 15.56/2.66 % (1836192)Peak memory usage: 13 MB
% 15.56/2.66 % (1836192)Instructions burned: 116 (million)
% 15.56/2.66 % (1836193)Instruction limit reached!
% 15.56/2.66 % (1836193)------------------------------
% 15.56/2.66 % (1836193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (1836193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (1836193)CaDiCaL version: 2.1.3
% 15.56/2.66 % (1836193)Termination reason: Instruction limit
% 15.56/2.66 % (1836193)Termination phase: Saturation
% 15.56/2.66 % (1836193)Time elapsed: 0.077 s
% 15.56/2.66 % (1836193)Peak memory usage: 13 MB
% 15.56/2.66 % (1836193)Instructions burned: 132 (million)
% 15.56/2.66 % (1836202)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=802255575:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.56/2.66 % TRYING [1]
% 15.56/2.66 % TRYING [2]
% 15.56/2.66 % TRYING [3]
% 15.56/2.66 % (1836203)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=487135767:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.56/2.66 % TRYING [4]
% 15.56/2.66 % (1836194)Instruction limit reached!
% 15.56/2.66 % (1836194)------------------------------
% 15.56/2.66 % (1836194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (1836194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (1836194)CaDiCaL version: 2.1.3
% 15.56/2.66 % (1836194)Termination reason: Instruction limit
% 15.56/2.66 % (1836194)Termination phase: Saturation
% 15.56/2.66 % (1836194)Time elapsed: 0.095 s
% 15.56/2.66 % (1836194)Peak memory usage: 14 MB
% 15.56/2.66 % (1836194)Instructions burned: 161 (million)
% 15.56/2.66 % (1836204)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1110816852:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.56/2.66 % TRYING [5]
% 15.56/2.66 % (1836208)ott-21_1_sil=16000:fs=off:random_seed=1542578804:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.56/2.66 % TRYING [6]
% 15.56/2.66 % TRYING [7]
% 15.56/2.66 % (1836203)Instruction limit reached!
% 15.56/2.66 % (1836203)------------------------------
% 15.56/2.66 % (1836203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836203)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836203)Termination reason: Instruction limit
% 15.25/5.31 % (1836203)Termination phase: Saturation
% 15.25/5.31 % (1836203)Time elapsed: 0.089 s
% 15.25/5.31 % (1836203)Peak memory usage: 13 MB
% 15.25/5.31 % (1836203)Instructions burned: 131 (million)
% 15.25/5.31 % (1836210)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3991617942:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.25/5.31 % (1836208)Instruction limit reached!
% 15.25/5.31 % (1836208)------------------------------
% 15.25/5.31 % (1836208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836208)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836208)Termination reason: Instruction limit
% 15.25/5.31 % (1836208)Termination phase: Saturation
% 15.25/5.31 % (1836208)Time elapsed: 0.087 s
% 15.25/5.31 % (1836208)Peak memory usage: 12 MB
% 15.25/5.31 % (1836208)Instructions burned: 183 (million)
% 15.25/5.31 % (1836212)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4159974728:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.25/5.31 % TRYING [1]
% 15.25/5.31 % TRYING [2]
% 15.25/5.31 % TRYING [3]
% 15.25/5.31 % TRYING [7]
% 15.25/5.31 % TRYING [4]
% 15.25/5.31 % TRYING [5]
% 15.25/5.31 % TRYING [6]
% 15.25/5.31 % (1836202)Instruction limit reached!
% 15.25/5.31 % (1836202)------------------------------
% 15.25/5.31 % (1836202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836202)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836202)Termination reason: Instruction limit
% 15.25/5.31 % (1836202)Termination phase: Finite model building SAT solving
% 15.25/5.31 % (1836202)Time elapsed: 0.276 s
% 15.25/5.31 % (1836202)Peak memory usage: 29 MB
% 15.25/5.31 % (1836202)Instructions burned: 715 (million)
% 15.25/5.31 % (1836214)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=933300249:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 15.25/5.31 % (1836204)Instruction limit reached!
% 15.25/5.31 % (1836204)------------------------------
% 15.25/5.31 % (1836204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836204)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836204)Termination reason: Instruction limit
% 15.25/5.31 % (1836204)Termination phase: Saturation
% 15.25/5.31 % (1836204)Time elapsed: 0.335 s
% 15.25/5.31 % (1836204)Peak memory usage: 17 MB
% 15.25/5.31 % (1836204)Instructions burned: 684 (million)
% 15.25/5.31 % (1836216)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3092879780:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 15.25/5.31 % (1836210)Instruction limit reached!
% 15.25/5.31 % (1836210)------------------------------
% 15.25/5.31 % (1836210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836210)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836210)Termination reason: Instruction limit
% 15.25/5.31 % (1836210)Termination phase: Saturation
% 15.25/5.31 % (1836210)Time elapsed: 0.316 s
% 15.25/5.31 % (1836210)Peak memory usage: 14 MB
% 15.25/5.31 % (1836210)Instructions burned: 478 (million)
% 15.25/5.31 % TRYING [14]
% 15.25/5.31 % (1836218)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3722008761:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 15.25/5.31 % TRYING [7]
% 15.25/5.31 % (1836212)Instruction limit reached!
% 15.25/5.31 % (1836212)------------------------------
% 15.25/5.31 % (1836212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836212)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836212)Termination reason: Instruction limit
% 15.25/5.31 % (1836212)Termination phase: Finite model building constraint generation
% 15.25/5.31 % (1836212)Time elapsed: 0.325 s
% 15.25/5.31 % (1836212)Peak memory usage: 20 MB
% 15.25/5.31 % (1836212)Instructions burned: 869 (million)
% 15.25/5.31 % (1836220)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1419182268:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.25/5.31 % (1836216)Instruction limit reached!
% 15.25/5.31 % (1836216)------------------------------
% 15.25/5.31 % (1836216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836216)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836216)Termination reason: Instruction limit
% 15.25/5.31 % (1836216)Termination phase: Finite model building constraint generation
% 15.25/5.31 % (1836216)Time elapsed: 0.300 s
% 15.25/5.31 % (1836216)Peak memory usage: 62 MB
% 15.25/5.31 % (1836216)Instructions burned: 892 (million)
% 15.25/5.31 % TRYING [8]
% 15.25/5.31 % (1836222)fmb+10_1_sil=64000:random_seed=1884316119:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 15.25/5.31 % TRYING [1]
% 15.25/5.31 % TRYING [2]
% 15.25/5.31 % TRYING [3]
% 15.25/5.31 % TRYING [4]
% 15.25/5.31 % TRYING [5]
% 15.25/5.31 % (1836218)Instruction limit reached!
% 15.25/5.31 % (1836218)------------------------------
% 15.25/5.31 % (1836218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % TRYING [6]
% 15.25/5.31 % (1836218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836218)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836218)Termination reason: Instruction limit
% 15.25/5.31 % (1836218)Termination phase: Saturation
% 15.25/5.31 % (1836218)Time elapsed: 0.381 s
% 15.25/5.31 % (1836218)Peak memory usage: 21 MB
% 15.25/5.31 % (1836218)Instructions burned: 692 (million)
% 15.25/5.31 % (1836224)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3007784059:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 15.25/5.31 % TRYING [20]
% 15.25/5.31 % (1836214)Instruction limit reached!
% 15.25/5.31 % (1836214)------------------------------
% 15.25/5.31 % (1836214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836214)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836214)Termination reason: Instruction limit
% 15.25/5.31 % (1836214)Termination phase: Saturation
% 15.25/5.31 % (1836214)Time elapsed: 0.643 s
% 15.25/5.31 % (1836214)Peak memory usage: 27 MB
% 15.25/5.31 % (1836214)Instructions burned: 1180 (million)
% 15.25/5.31 % (1836226)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=902559136:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 15.25/5.31 % TRYING [8]
% 15.25/5.31 % (1836220)Instruction limit reached!
% 15.25/5.31 % (1836220)------------------------------
% 15.25/5.31 % (1836220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836220)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836220)Termination reason: Instruction limit
% 15.25/5.31 % (1836220)Termination phase: Saturation
% 15.25/5.31 % (1836220)Time elapsed: 0.500 s
% 15.25/5.31 % (1836220)Peak memory usage: 19 MB
% 15.25/5.31 % (1836220)Instructions burned: 879 (million)
% 15.25/5.31 % (1836228)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2309701442:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 15.25/5.31 % TRYING [7]
% 15.25/5.31 % (1836226)Instruction limit reached!
% 15.25/5.31 % (1836226)------------------------------
% 15.25/5.31 % (1836226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836226)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836226)Termination reason: Instruction limit
% 15.25/5.31 % (1836226)Termination phase: Finite model building SAT solving
% 15.25/5.31 % (1836226)Time elapsed: 0.437 s
% 15.25/5.31 % (1836226)Peak memory usage: 54 MB
% 15.25/5.31 % (1836226)Instructions burned: 921 (million)
% 15.25/5.31 % (1836230)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1799633389:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 15.25/5.31 % TRYING [8]
% 15.25/5.31 % (1836230)Instruction limit reached!
% 15.25/5.31 % (1836230)------------------------------
% 15.25/5.31 % (1836230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836230)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836230)Termination reason: Instruction limit
% 15.25/5.31 % (1836230)Termination phase: Saturation
% 15.25/5.31 % (1836230)Time elapsed: 0.696 s
% 15.25/5.31 % (1836230)Peak memory usage: 27 MB
% 15.25/5.31 % (1836230)Instructions burned: 1473 (million)
% 15.25/5.31 % (1836232)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1064781084:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 15.25/5.31 % TRYING [77]
% 15.25/5.31 % (1836228)Instruction limit reached!
% 15.25/5.31 % (1836228)------------------------------
% 15.25/5.31 % (1836228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836228)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836228)Termination reason: Instruction limit
% 15.25/5.31 % (1836228)Termination phase: Saturation
% 15.25/5.31 % (1836228)Time elapsed: 2.617 s
% 15.25/5.31 % (1836228)Peak memory usage: 29 MB
% 15.25/5.31 % (1836228)Instructions burned: 5131 (million)
% 15.25/5.31 % (1836234)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2833160417:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 15.25/5.31 % TRYING [16]
% 15.25/5.31 % (1836224)Instruction limit reached!
% 15.25/5.31 % (1836224)------------------------------
% 15.25/5.31 % (1836224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836224)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836224)Termination reason: Instruction limit
% 15.25/5.31 % (1836224)Termination phase: Finite model building constraint generation
% 15.25/5.31 % (1836224)Time elapsed: 3.184 s
% 15.25/5.31 % (1836224)Peak memory usage: 523 MB
% 15.25/5.31 % (1836224)Instructions burned: 9516 (million)
% 15.25/5.31 % (1836236)ott-2_1_sil=16000:newcnf=on:random_seed=2789750989:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 15.25/5.31 % (1836234)Instruction limit reached!
% 15.25/5.31 % (1836234)------------------------------
% 15.25/5.31 % (1836234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836234)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836234)Termination reason: Instruction limit
% 15.25/5.31 % (1836234)Termination phase: Finite model building constraint generation
% 15.25/5.31 % (1836234)Time elapsed: 0.737 s
% 15.25/5.31 % (1836234)Peak memory usage: 133 MB
% 15.25/5.31 % (1836234)Instructions burned: 2177 (million)
% 15.25/5.31 % (1836232)Instruction limit reached!
% 15.25/5.31 % (1836232)------------------------------
% 15.25/5.31 % (1836232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836232)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836232)Termination reason: Instruction limit
% 15.25/5.31 % (1836232)Termination phase: Finite model building constraint generation
% 15.25/5.31 % (1836232)Time elapsed: 2.248 s
% 15.25/5.31 % (1836232)Peak memory usage: 453 MB
% 15.25/5.31 % (1836232)Instructions burned: 6326 (million)
% 15.25/5.31 % (1836238)ott+10_1_sil=32000:tgt=ground:random_seed=3756740751:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 15.25/5.31 % (1836240)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2623082549:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 15.25/5.31 % TRYING [1]
% 15.25/5.31 % TRYING [2]
% 15.25/5.31 % TRYING [3]
% 15.25/5.31 % TRYING [4]
% 15.25/5.31 % TRYING [5]
% 15.25/5.31 % TRYING [6]
% 15.25/5.31 % (1836236)Instruction limit reached!
% 15.25/5.31 % (1836236)------------------------------
% 15.25/5.31 % (1836236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836236)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836236)Termination reason: Instruction limit
% 15.25/5.31 % (1836236)Termination phase: Saturation
% 15.25/5.31 % (1836236)Time elapsed: 0.462 s
% 15.25/5.31 % (1836236)Peak memory usage: 18 MB
% 15.25/5.31 % (1836236)Instructions burned: 870 (million)
% 15.25/5.31 % (1836242)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1976599245:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 15.25/5.31 % TRYING [7]
% 15.25/5.31 % (1836238) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1836183-1836238"...
% 15.25/5.31 % (1836238)...printing done.
% 15.25/5.31 % (1836238)Refutation found. Thanks to Tanya!
% 15.25/5.31 % SZS status Theorem for theBenchmark
% 15.25/5.31 % SZS output start Proof for theBenchmark
% See solution above
% 15.25/5.31 % (1836238)------------------------------
% 15.25/5.31 % (1836238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.25/5.31 % (1836238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.25/5.31 % (1836238)CaDiCaL version: 2.1.3
% 15.25/5.31 % (1836238)Termination reason: Refutation
% 15.25/5.31 % (1836238)Time elapsed: 0.356 s
% 15.25/5.31 % (1836238)Peak memory usage: 18 MB
% 15.25/5.31 % (1836238)Instructions burned: 646 (million)
% 15.25/5.31 % (1836183)Success in time 4.917 s
% 15.25/5.31 % Vampire exiting
%------------------------------------------------------------------------------