%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU215+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:52:25 PM UTC 2026
% Result : Theorem 1.86s 0.74s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 107 ( 29 unt; 8 def)
% Number of atoms : 360 ( 57 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 426 ( 173 ~; 181 |; 44 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 81 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) )
& ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f13,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f18,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f34,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f36,conjecture,
! [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(f37,negated_conjecture,
~ ! [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)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f54,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f61]) ).
fof(f63,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,[],[f35]) ).
fof(f64,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,[],[f63]) ).
fof(f65,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,[],[f37]) ).
fof(f66,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,[],[f65]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( X2 = apply(X0,X1)
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) )
& ( ( ( X2 = apply(X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f62]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7))
& in(sK7,relation_dom(sK8))
& relation(sK9)
& function(sK9)
& relation(sK8)
& function(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f66]) ).
fof(f87,plain,
! [X2,X0,X1] :
( empty_set = X2
| apply(X0,X1) != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f92,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f98,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| ~ function(X0)
| function(relation_composition(X0,X1))
| ~ function(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f124,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,[],[f64]) ).
fof(f125,plain,
function(sK8),
inference(cnf_transformation,[],[f82]) ).
fof(f126,plain,
relation(sK8),
inference(cnf_transformation,[],[f82]) ).
fof(f127,plain,
function(sK9),
inference(cnf_transformation,[],[f82]) ).
fof(f128,plain,
relation(sK9),
inference(cnf_transformation,[],[f82]) ).
fof(f129,plain,
in(sK7,relation_dom(sK8)),
inference(cnf_transformation,[],[f82]) ).
fof(f130,plain,
apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)),
inference(cnf_transformation,[],[f82]) ).
fof(f140,plain,
! [X0,X1] :
( in(X1,relation_dom(X0))
| apply(X0,X1) = empty_set
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f141,definition,
sF10 = relation_composition(sK8,sK9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f142,plain,
relation_composition(sK8,sK9) = sF10,
inference(reorient_equations,[],[f141]) ).
fof(f143,definition,
sF11 = apply(sF10,sK7),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f144,plain,
apply(sF10,sK7) = sF11,
inference(reorient_equations,[],[f143]) ).
fof(f145,definition,
sF12 = apply(sK8,sK7),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f146,plain,
apply(sK8,sK7) = sF12,
inference(reorient_equations,[],[f145]) ).
fof(f147,definition,
sF13 = apply(sK9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f148,plain,
apply(sK9,sF12) = sF13,
inference(reorient_equations,[],[f147]) ).
fof(f149,plain,
sF11 != sF13,
inference(definition_folding,[],[f130,f148,f146,f144,f142]) ).
fof(f150,definition,
sF14 = relation_dom(sK8),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f151,plain,
relation_dom(sK8) = sF14,
inference(reorient_equations,[],[f150]) ).
fof(f152,plain,
in(sK7,sF14),
inference(definition_folding,[],[f129,f151]) ).
fof(f206,plain,
( relation(sF10)
| ~ relation(sK8)
| ~ relation(sK9) ),
inference(superposition,[],[f92,f142]) ).
fof(f207,plain,
( relation(sF10)
| ~ relation(sK9) ),
inference(forward_subsumption_resolution,[],[f206,f126]) ).
fof(f208,plain,
relation(sF10),
inference(forward_subsumption_resolution,[],[f207,f128]) ).
fof(f291,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| function(relation_composition(X0,sK9))
| ~ function(sK9) ),
inference(resolution,[],[f98,f128]) ).
fof(f294,definition,
( spl15_5
<=> function(sF10) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f295,plain,
( function(sF10)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( ~ function(sF10)
| spl15_5 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f301,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| function(relation_composition(X0,sK9)) ),
inference(forward_subsumption_resolution,[],[f291,f127]) ).
fof(f388,definition,
( spl15_11
<=> in(sF12,relation_dom(sK9)) ),
introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).
fof(f389,plain,
( in(sF12,relation_dom(sK9))
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( ~ in(sF12,relation_dom(sK9))
| spl15_11 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f399,plain,
( empty_set = apply(sK9,sF12)
| ~ relation(sK9)
| ~ function(sK9)
| spl15_11 ),
inference(resolution,[],[f390,f140]) ).
fof(f400,plain,
( empty_set = apply(sK9,sF12)
| ~ function(sK9)
| spl15_11 ),
inference(forward_subsumption_resolution,[],[f399,f128]) ).
fof(f401,plain,
( empty_set = apply(sK9,sF12)
| spl15_11 ),
inference(forward_subsumption_resolution,[],[f400,f127]) ).
fof(f413,plain,
( empty_set = sF13
| spl15_11 ),
inference(superposition,[],[f148,f401]) ).
fof(f425,plain,
( empty_set != sF11
| spl15_11 ),
inference(superposition,[],[f149,f413]) ).
fof(f428,plain,
! [X0] :
( ~ in(sF12,relation_dom(X0))
| ~ in(sK7,relation_dom(sK8))
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[],[f123,f146]) ).
fof(f436,plain,
! [X0] :
( ~ in(sF12,relation_dom(X0))
| ~ in(sK7,relation_dom(sK8))
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ function(sK8)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f428,f126]) ).
fof(f439,plain,
! [X0] :
( ~ in(sF12,relation_dom(X0))
| ~ in(sK7,relation_dom(sK8))
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f436,f125]) ).
fof(f440,plain,
! [X0] :
( ~ in(sK7,sF14)
| ~ in(sF12,relation_dom(X0))
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_demodulation,[],[f439,f151]) ).
fof(f441,plain,
! [X0] :
( in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ in(sF12,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f440,f152]) ).
fof(f444,plain,
! [X0] :
( ~ in(X0,relation_dom(sF10))
| apply(sK9,apply(sK8,X0)) = apply(sF10,X0)
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9) ),
inference(superposition,[],[f124,f142]) ).
fof(f445,plain,
! [X0] :
( ~ in(X0,relation_dom(sF10))
| apply(sK9,apply(sK8,X0)) = apply(sF10,X0)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9) ),
inference(forward_subsumption_resolution,[],[f444,f126]) ).
fof(f448,plain,
! [X0] :
( ~ in(X0,relation_dom(sF10))
| apply(sK9,apply(sK8,X0)) = apply(sF10,X0)
| ~ relation(sK9)
| ~ function(sK9) ),
inference(forward_subsumption_resolution,[],[f445,f125]) ).
fof(f450,plain,
! [X0] :
( ~ in(X0,relation_dom(sF10))
| apply(sK9,apply(sK8,X0)) = apply(sF10,X0)
| ~ function(sK9) ),
inference(forward_subsumption_resolution,[],[f448,f128]) ).
fof(f451,plain,
! [X0] :
( ~ in(X0,relation_dom(sF10))
| apply(sK9,apply(sK8,X0)) = apply(sF10,X0) ),
inference(forward_subsumption_resolution,[],[f450,f127]) ).
fof(f482,plain,
( ~ function(sK8)
| function(relation_composition(sK8,sK9)) ),
inference(resolution,[],[f301,f126]) ).
fof(f486,plain,
function(relation_composition(sK8,sK9)),
inference(forward_subsumption_resolution,[],[f482,f125]) ).
fof(f494,plain,
function(sF10),
inference(forward_demodulation,[],[f486,f142]) ).
fof(f497,plain,
( $false
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f494,f296]) ).
fof(f498,plain,
spl15_5,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f508,definition,
( spl15_16
<=> in(sK7,relation_dom(sF10)) ),
introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).
fof(f509,plain,
( in(sK7,relation_dom(sF10))
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ in(sK7,relation_dom(sF10))
| spl15_16 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f520,plain,
( empty_set = apply(sF10,sK7)
| ~ relation(sF10)
| ~ function(sF10)
| spl15_16 ),
inference(resolution,[],[f510,f140]) ).
fof(f521,plain,
( empty_set = apply(sF10,sK7)
| ~ function(sF10)
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f520,f208]) ).
fof(f522,plain,
( empty_set = apply(sF10,sK7)
| ~ spl15_5
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f521,f295]) ).
fof(f597,plain,
( in(sK7,relation_dom(sF10))
| ~ in(sF12,relation_dom(sK9))
| ~ relation(sK9)
| ~ function(sK9) ),
inference(superposition,[],[f441,f142]) ).
fof(f641,plain,
( empty_set = sF11
| ~ spl15_5
| spl15_16 ),
inference(superposition,[],[f522,f144]) ).
fof(f648,plain,
( $false
| ~ spl15_5
| spl15_11
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f641,f425]) ).
fof(f649,plain,
( ~ spl15_5
| spl15_11
| spl15_16 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f651,plain,
( ~ in(sF12,relation_dom(sK9))
| ~ relation(sK9)
| ~ function(sK9)
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f597,f510]) ).
fof(f654,plain,
( ~ relation(sK9)
| ~ function(sK9)
| ~ spl15_11
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f651,f389]) ).
fof(f657,plain,
( ~ function(sK9)
| ~ spl15_11
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f654,f128]) ).
fof(f659,plain,
( $false
| ~ spl15_11
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f657,f127]) ).
fof(f660,plain,
( ~ spl15_11
| spl15_16 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f686,plain,
( apply(sK9,apply(sK8,sK7)) = apply(sF10,sK7)
| ~ spl15_16 ),
inference(resolution,[],[f509,f451]) ).
fof(f691,plain,
( apply(sK9,apply(sK8,sK7)) = sF11
| ~ spl15_16 ),
inference(forward_demodulation,[],[f686,f144]) ).
fof(f692,plain,
( sF11 = apply(sK9,sF12)
| ~ spl15_16 ),
inference(forward_demodulation,[],[f691,f146]) ).
fof(f757,plain,
( sF11 = sF13
| ~ spl15_16 ),
inference(superposition,[],[f692,f148]) ).
fof(f766,plain,
( $false
| ~ spl15_16 ),
inference(forward_subsumption_resolution,[],[f757,f149]) ).
fof(f767,plain,
~ spl15_16,
inference(avatar_contradiction_clause,[],[f766]) ).
cnf(s9,plain,
spl15_5,
inference(sat_conversion,[],[f498]) ).
cnf(s16,plain,
( ~ spl15_5
| spl15_11
| spl15_16 ),
inference(sat_conversion,[],[f649]) ).
cnf(s17,plain,
( ~ spl15_11
| spl15_16 ),
inference(sat_conversion,[],[f660]) ).
cnf(s23,plain,
~ spl15_16,
inference(sat_conversion,[],[f767]) ).
cnf(s24,plain,
~ spl15_11,
inference(rat,[],[s17,s23]) ).
cnf(s25,plain,
~ spl15_5,
inference(rat,[],[s16,s23,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s9,s25]) ).
fof(f773,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU215+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:06:57 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.86/0.74 % (1177602)Will run a generic schedule for satisfiability detection.
% 1.86/0.74 % (1177611)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1887427581:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.86/0.74 % (1177608)% WARNING: option uhcvi not known.
% 1.86/0.74 % (1177607)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=125765699_2999 on theBenchmark for (2999ds/0Mi)
% 1.86/0.74 % (1177608)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4161188862:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.86/0.74 % (1177609)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3693857857:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.86/0.74 % (1177610)dis+10_1_sil=32000:sp=arity:random_seed=1240171300:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.86/0.74 % (1177612)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=406570927:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.86/0.74 % (1177613)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2582911753:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.86/0.74 % TRYING [1]
% 1.86/0.74 % TRYING [2]
% 1.86/0.74 % TRYING [3]
% 1.86/0.74 % TRYING [4]
% 1.86/0.74 % (1177611)Instruction limit reached!
% 1.86/0.74 % (1177611)------------------------------
% 1.86/0.74 % (1177611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177611)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177611)Termination reason: Instruction limit
% 1.86/0.74 % (1177611)Termination phase: Saturation
% 1.86/0.74 % (1177611)Time elapsed: 0.038 s
% 1.86/0.74 % (1177611)Peak memory usage: 13 MB
% 1.86/0.74 % (1177611)Instructions burned: 116 (million)
% 1.86/0.74 % (1177621)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3146648224:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.86/0.74 % TRYING [1]
% 1.86/0.74 % TRYING [2]
% 1.86/0.74 % TRYING [3]
% 1.86/0.74 % (1177610)Instruction limit reached!
% 1.86/0.74 % (1177610)------------------------------
% 1.86/0.74 % (1177610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177610)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177610)Termination reason: Instruction limit
% 1.86/0.74 % (1177610)Termination phase: Saturation
% 1.86/0.74 % (1177610)Time elapsed: 0.059 s
% 1.86/0.74 % (1177610)Peak memory usage: 12 MB
% 1.86/0.74 % (1177610)Instructions burned: 103 (million)
% 1.86/0.74 % (1177612)Instruction limit reached!
% 1.86/0.74 % (1177612)------------------------------
% 1.86/0.74 % (1177612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177612)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177612)Termination reason: Instruction limit
% 1.86/0.74 % (1177612)Termination phase: Saturation
% 1.86/0.74 % (1177612)Time elapsed: 0.073 s
% 1.86/0.74 % (1177612)Peak memory usage: 13 MB
% 1.86/0.74 % (1177612)Instructions burned: 131 (million)
% 1.86/0.74 % (1177623)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=992503063:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.86/0.74 % TRYING [4]
% 1.86/0.74 % (1177624)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=2790964537:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.86/0.74 % (1177613)Instruction limit reached!
% 1.86/0.74 % (1177613)------------------------------
% 1.86/0.74 % (1177613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177613)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177613)Termination reason: Instruction limit
% 1.86/0.74 % (1177613)Termination phase: Saturation
% 1.86/0.74 % (1177613)Time elapsed: 0.100 s
% 1.86/0.74 % (1177613)Peak memory usage: 15 MB
% 1.86/0.74 % (1177613)Instructions burned: 159 (million)
% 1.86/0.74 % (1177627)ott-21_1_sil=16000:fs=off:random_seed=2968345802:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.86/0.74 % (1177623)Instruction limit reached!
% 1.86/0.74 % (1177623)------------------------------
% 1.86/0.74 % (1177623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177623)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177623)Termination reason: Instruction limit
% 1.86/0.74 % (1177623)Termination phase: Saturation
% 1.86/0.74 % (1177623)Time elapsed: 0.082 s
% 1.86/0.74 % (1177623)Peak memory usage: 13 MB
% 1.86/0.74 % (1177623)Instructions burned: 132 (million)
% 1.86/0.74 % (1177629)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2019324253:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.86/0.74 % (1177627)Instruction limit reached!
% 1.86/0.74 % (1177627)------------------------------
% 1.86/0.74 % (1177627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177627)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177627)Termination reason: Instruction limit
% 1.86/0.74 % (1177627)Termination phase: Saturation
% 1.86/0.74 % (1177627)Time elapsed: 0.071 s
% 1.86/0.74 % (1177627)Peak memory usage: 12 MB
% 1.86/0.74 % (1177627)Instructions burned: 181 (million)
% 1.86/0.74 % (1177631)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1515757724:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.86/0.74 % TRYING [1]
% 1.86/0.74 % TRYING [2]
% 1.86/0.74 % TRYING [3]
% 1.86/0.74 % TRYING [4]
% 1.86/0.74 % TRYING [5]
% 1.86/0.74 % (1177621)Instruction limit reached!
% 1.86/0.74 % (1177621)------------------------------
% 1.86/0.74 % (1177621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.74 % (1177621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.74 % (1177621)CaDiCaL version: 2.1.3
% 1.86/0.74 % (1177621)Termination reason: Instruction limit
% 1.86/0.74 % (1177621)Termination phase: Finite model building constraint generation
% 1.86/0.74 % (1177621)Time elapsed: 0.222 s
% 1.86/0.74 % (1177621)Peak memory usage: 15 MB
% 1.86/0.74 % (1177621)Instructions burned: 715 (million)
% 1.86/0.74 % (1177633)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2372910344:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.86/0.74 % (1177633) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1177602-1177633"...
% 1.86/0.74 % (1177633)...printing done.
% 1.86/0.74 % (1177633)Refutation found. Thanks to Tanya!
% 1.86/0.74 % SZS status Theorem for theBenchmark
% 1.86/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.75 % (1177633)------------------------------
% 1.86/0.75 % (1177633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.75 % (1177633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.75 % (1177633)CaDiCaL version: 2.1.3
% 1.86/0.75 % (1177633)Termination reason: Refutation
% 1.86/0.75 % (1177633)Time elapsed: 0.009 s
% 1.86/0.75 % (1177633)Peak memory usage: 13 MB
% 1.86/0.75 % (1177633)Instructions burned: 23 (million)
% 1.86/0.75 % (1177602)Success in time 0.33 s
% 1.86/0.75 % Vampire exiting
%------------------------------------------------------------------------------