%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU215+3 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:52:25 PM UTC 2026
% Result : Theorem 1.17s 0.69s
% Output : Refutation 1.17s
% 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/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f7,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(f31,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/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f32,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(f33,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/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f34,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)],[f33]) ).
fof(f49,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(f50,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,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f51]) ).
fof(f55,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(f56,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f55]) ).
fof(f64,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,[],[f31]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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,[],[f32]) ).
fof(f67,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,[],[f66]) ).
fof(f68,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,[],[f34]) ).
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(flattening,[],[f68]) ).
fof(f79,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,[],[f50]) ).
fof(f89,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,[],[f65]) ).
fof(f90,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,[],[f89]) ).
fof(f91,plain,
( apply(relation_composition(sK10,sK11),sK9) != apply(sK11,apply(sK10,sK9))
& in(sK9,relation_dom(sK10))
& relation(sK11)
& function(sK11)
& relation(sK10)
& function(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f69]) ).
fof(f96,plain,
! [X2,X0,X1] :
( empty_set = X2
| apply(X0,X1) != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f101,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f107,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| ~ function(X0)
| function(relation_composition(X0,X1))
| ~ function(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f138,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,[],[f90]) ).
fof(f139,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,[],[f67]) ).
fof(f140,plain,
function(sK10),
inference(cnf_transformation,[],[f91]) ).
fof(f141,plain,
relation(sK10),
inference(cnf_transformation,[],[f91]) ).
fof(f142,plain,
function(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f143,plain,
relation(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f144,plain,
in(sK9,relation_dom(sK10)),
inference(cnf_transformation,[],[f91]) ).
fof(f145,plain,
apply(relation_composition(sK10,sK11),sK9) != apply(sK11,apply(sK10,sK9)),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
! [X0,X1] :
( in(X1,relation_dom(X0))
| apply(X0,X1) = empty_set
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f96]) ).
fof(f159,definition,
sF12 = relation_composition(sK10,sK11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f160,plain,
relation_composition(sK10,sK11) = sF12,
inference(reorient_equations,[],[f159]) ).
fof(f161,definition,
sF13 = apply(sF12,sK9),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f162,plain,
apply(sF12,sK9) = sF13,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF14 = apply(sK10,sK9),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f164,plain,
apply(sK10,sK9) = sF14,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF15 = apply(sK11,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f166,plain,
apply(sK11,sF14) = sF15,
inference(reorient_equations,[],[f165]) ).
fof(f167,plain,
sF13 != sF15,
inference(definition_folding,[],[f145,f166,f164,f162,f160]) ).
fof(f168,definition,
sF16 = relation_dom(sK10),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f169,plain,
relation_dom(sK10) = sF16,
inference(reorient_equations,[],[f168]) ).
fof(f170,plain,
in(sK9,sF16),
inference(definition_folding,[],[f144,f169]) ).
fof(f236,plain,
( relation(sF12)
| ~ relation(sK10)
| ~ relation(sK11) ),
inference(superposition,[],[f101,f160]) ).
fof(f237,plain,
( relation(sF12)
| ~ relation(sK11) ),
inference(forward_subsumption_resolution,[],[f236,f141]) ).
fof(f238,plain,
relation(sF12),
inference(forward_subsumption_resolution,[],[f237,f143]) ).
fof(f372,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| function(relation_composition(X0,sK11))
| ~ function(sK11) ),
inference(resolution,[],[f107,f143]) ).
fof(f375,definition,
( spl17_7
<=> function(sF12) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f376,plain,
( function(sF12)
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( ~ function(sF12)
| spl17_7 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f382,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| function(relation_composition(X0,sK11)) ),
inference(forward_subsumption_resolution,[],[f372,f142]) ).
fof(f461,definition,
( spl17_13
<=> in(sF14,relation_dom(sK11)) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f462,plain,
( in(sF14,relation_dom(sK11))
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( ~ in(sF14,relation_dom(sK11))
| spl17_13 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f472,plain,
( empty_set = apply(sK11,sF14)
| ~ relation(sK11)
| ~ function(sK11)
| spl17_13 ),
inference(resolution,[],[f463,f158]) ).
fof(f473,plain,
( empty_set = apply(sK11,sF14)
| ~ function(sK11)
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f472,f143]) ).
fof(f474,plain,
( empty_set = apply(sK11,sF14)
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f473,f142]) ).
fof(f486,plain,
( empty_set = sF15
| spl17_13 ),
inference(superposition,[],[f166,f474]) ).
fof(f498,plain,
( empty_set != sF13
| spl17_13 ),
inference(superposition,[],[f167,f486]) ).
fof(f501,plain,
! [X0] :
( ~ in(sF14,relation_dom(X0))
| ~ in(sK9,relation_dom(sK10))
| in(sK9,relation_dom(relation_composition(sK10,X0)))
| ~ relation(sK10)
| ~ function(sK10)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[],[f138,f164]) ).
fof(f509,plain,
! [X0] :
( ~ in(sF14,relation_dom(X0))
| ~ in(sK9,relation_dom(sK10))
| in(sK9,relation_dom(relation_composition(sK10,X0)))
| ~ function(sK10)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f501,f141]) ).
fof(f512,plain,
! [X0] :
( ~ in(sF14,relation_dom(X0))
| ~ in(sK9,relation_dom(sK10))
| in(sK9,relation_dom(relation_composition(sK10,X0)))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f509,f140]) ).
fof(f513,plain,
! [X0] :
( ~ in(sK9,sF16)
| ~ in(sF14,relation_dom(X0))
| in(sK9,relation_dom(relation_composition(sK10,X0)))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_demodulation,[],[f512,f169]) ).
fof(f514,plain,
! [X0] :
( in(sK9,relation_dom(relation_composition(sK10,X0)))
| ~ in(sF14,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f513,f170]) ).
fof(f517,plain,
! [X0] :
( ~ in(X0,relation_dom(sF12))
| apply(sK11,apply(sK10,X0)) = apply(sF12,X0)
| ~ relation(sK10)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(superposition,[],[f139,f160]) ).
fof(f518,plain,
! [X0] :
( ~ in(X0,relation_dom(sF12))
| apply(sK11,apply(sK10,X0)) = apply(sF12,X0)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(forward_subsumption_resolution,[],[f517,f141]) ).
fof(f521,plain,
! [X0] :
( ~ in(X0,relation_dom(sF12))
| apply(sK11,apply(sK10,X0)) = apply(sF12,X0)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(forward_subsumption_resolution,[],[f518,f140]) ).
fof(f523,plain,
! [X0] :
( ~ in(X0,relation_dom(sF12))
| apply(sK11,apply(sK10,X0)) = apply(sF12,X0)
| ~ function(sK11) ),
inference(forward_subsumption_resolution,[],[f521,f143]) ).
fof(f524,plain,
! [X0] :
( ~ in(X0,relation_dom(sF12))
| apply(sK11,apply(sK10,X0)) = apply(sF12,X0) ),
inference(forward_subsumption_resolution,[],[f523,f142]) ).
fof(f558,plain,
( ~ function(sK10)
| function(relation_composition(sK10,sK11)) ),
inference(resolution,[],[f382,f141]) ).
fof(f562,plain,
function(relation_composition(sK10,sK11)),
inference(forward_subsumption_resolution,[],[f558,f140]) ).
fof(f569,plain,
function(sF12),
inference(forward_demodulation,[],[f562,f160]) ).
fof(f573,plain,
( $false
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f569,f377]) ).
fof(f574,plain,
spl17_7,
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f584,definition,
( spl17_18
<=> in(sK9,relation_dom(sF12)) ),
introduced(definition,[new_symbols(definition,[spl17_18])],[avatar_definition]) ).
fof(f585,plain,
( in(sK9,relation_dom(sF12))
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f586,plain,
( ~ in(sK9,relation_dom(sF12))
| spl17_18 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f596,plain,
( empty_set = apply(sF12,sK9)
| ~ relation(sF12)
| ~ function(sF12)
| spl17_18 ),
inference(resolution,[],[f586,f158]) ).
fof(f597,plain,
( empty_set = apply(sF12,sK9)
| ~ function(sF12)
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f596,f238]) ).
fof(f598,plain,
( empty_set = apply(sF12,sK9)
| ~ spl17_7
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f597,f376]) ).
fof(f666,plain,
( in(sK9,relation_dom(sF12))
| ~ in(sF14,relation_dom(sK11))
| ~ relation(sK11)
| ~ function(sK11) ),
inference(superposition,[],[f514,f160]) ).
fof(f698,plain,
( empty_set = sF13
| ~ spl17_7
| spl17_18 ),
inference(superposition,[],[f598,f162]) ).
fof(f705,plain,
( $false
| ~ spl17_7
| spl17_13
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f698,f498]) ).
fof(f706,plain,
( ~ spl17_7
| spl17_13
| spl17_18 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f708,plain,
( ~ in(sF14,relation_dom(sK11))
| ~ relation(sK11)
| ~ function(sK11)
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f666,f586]) ).
fof(f711,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ spl17_13
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f708,f462]) ).
fof(f714,plain,
( ~ function(sK11)
| ~ spl17_13
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f711,f143]) ).
fof(f716,plain,
( $false
| ~ spl17_13
| spl17_18 ),
inference(forward_subsumption_resolution,[],[f714,f142]) ).
fof(f717,plain,
( ~ spl17_13
| spl17_18 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f743,plain,
( apply(sK11,apply(sK10,sK9)) = apply(sF12,sK9)
| ~ spl17_18 ),
inference(resolution,[],[f585,f524]) ).
fof(f748,plain,
( apply(sK11,apply(sK10,sK9)) = sF13
| ~ spl17_18 ),
inference(forward_demodulation,[],[f743,f162]) ).
fof(f749,plain,
( sF13 = apply(sK11,sF14)
| ~ spl17_18 ),
inference(forward_demodulation,[],[f748,f164]) ).
fof(f807,plain,
( sF13 = sF15
| ~ spl17_18 ),
inference(superposition,[],[f749,f166]) ).
fof(f816,plain,
( $false
| ~ spl17_18 ),
inference(forward_subsumption_resolution,[],[f807,f167]) ).
fof(f817,plain,
~ spl17_18,
inference(avatar_contradiction_clause,[],[f816]) ).
cnf(s10,plain,
spl17_7,
inference(sat_conversion,[],[f574]) ).
cnf(s16,plain,
( ~ spl17_7
| spl17_13
| spl17_18 ),
inference(sat_conversion,[],[f706]) ).
cnf(s17,plain,
( ~ spl17_13
| spl17_18 ),
inference(sat_conversion,[],[f717]) ).
cnf(s23,plain,
~ spl17_18,
inference(sat_conversion,[],[f817]) ).
cnf(s24,plain,
~ spl17_13,
inference(rat,[],[s17,s23]) ).
cnf(s25,plain,
~ spl17_7,
inference(rat,[],[s16,s23,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s10,s25]) ).
fof(f823,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU215+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:11:18 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 1.17/0.69 % (7855)Will run a generic schedule for satisfiability detection.
% 1.17/0.69 % (7863)dis+10_1_sil=32000:sp=arity:random_seed=569663014:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.17/0.69 % (7861)% WARNING: option uhcvi not known.
% 1.17/0.69 % (7860)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2200241509_2999 on theBenchmark for (2999ds/0Mi)
% 1.17/0.69 % (7861)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=76957408:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.17/0.69 % (7862)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3071864559:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.17/0.69 % (7865)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2160031756:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.17/0.69 % (7864)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=151842053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.17/0.69 % (7866)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2381096004:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.17/0.69 % TRYING [1]
% 1.17/0.69 % TRYING [2]
% 1.17/0.69 % TRYING [3]
% 1.17/0.69 % TRYING [4]
% 1.17/0.69 % TRYING [5]
% 1.17/0.69 % (7863)Instruction limit reached!
% 1.17/0.69 % (7863)------------------------------
% 1.17/0.69 % (7863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7863)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7863)Termination reason: Instruction limit
% 1.17/0.69 % (7863)Termination phase: Saturation
% 1.17/0.69 % (7863)Time elapsed: 0.031 s
% 1.17/0.69 % (7863)Peak memory usage: 12 MB
% 1.17/0.69 % (7863)Instructions burned: 104 (million)
% 1.17/0.69 % (7874)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=645633742:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.17/0.69 % TRYING [1]
% 1.17/0.69 % TRYING [2]
% 1.17/0.69 % TRYING [3]
% 1.17/0.69 % TRYING [4]
% 1.17/0.69 % TRYING [5]
% 1.17/0.69 % TRYING [6]
% 1.17/0.69 % TRYING [6]
% 1.17/0.69 % (7864)Instruction limit reached!
% 1.17/0.69 % (7864)------------------------------
% 1.17/0.69 % (7864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7864)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7864)Termination reason: Instruction limit
% 1.17/0.69 % (7864)Termination phase: Saturation
% 1.17/0.69 % (7864)Time elapsed: 0.069 s
% 1.17/0.69 % (7864)Peak memory usage: 13 MB
% 1.17/0.69 % (7864)Instructions burned: 117 (million)
% 1.17/0.69 % (7865)Instruction limit reached!
% 1.17/0.69 % (7865)------------------------------
% 1.17/0.69 % (7865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7865)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7865)Termination reason: Instruction limit
% 1.17/0.69 % (7865)Termination phase: Saturation
% 1.17/0.69 % (7865)Time elapsed: 0.074 s
% 1.17/0.69 % (7865)Peak memory usage: 13 MB
% 1.17/0.69 % (7865)Instructions burned: 132 (million)
% 1.17/0.69 % (7876)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3764149551:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.17/0.69 % (7866)Instruction limit reached!
% 1.17/0.69 % (7866)------------------------------
% 1.17/0.69 % (7866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7866)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7866)Termination reason: Instruction limit
% 1.17/0.69 % (7866)Termination phase: Saturation
% 1.17/0.69 % (7866)Time elapsed: 0.092 s
% 1.17/0.69 % (7866)Peak memory usage: 14 MB
% 1.17/0.69 % (7866)Instructions burned: 159 (million)
% 1.17/0.69 % (7877)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=3131315377:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.17/0.69 % (7880)ott-21_1_sil=16000:fs=off:random_seed=1892910734:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.17/0.69 % TRYING [7]
% 1.17/0.69 % TRYING [7]
% 1.17/0.69 % (7876)Instruction limit reached!
% 1.17/0.69 % (7876)------------------------------
% 1.17/0.69 % (7876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7876)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7876)Termination reason: Instruction limit
% 1.17/0.69 % (7876)Termination phase: Saturation
% 1.17/0.69 % (7876)Time elapsed: 0.083 s
% 1.17/0.69 % (7876)Peak memory usage: 14 MB
% 1.17/0.69 % (7876)Instructions burned: 132 (million)
% 1.17/0.69 % (7874)Instruction limit reached!
% 1.17/0.69 % (7874)------------------------------
% 1.17/0.69 % (7874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7874)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7874)Termination reason: Instruction limit
% 1.17/0.69 % (7874)Termination phase: Finite model building constraint generation
% 1.17/0.69 % (7874)Time elapsed: 0.155 s
% 1.17/0.69 % (7874)Peak memory usage: 26 MB
% 1.17/0.69 % (7874)Instructions burned: 718 (million)
% 1.17/0.69 % (7880)Instruction limit reached!
% 1.17/0.69 % (7880)------------------------------
% 1.17/0.69 % (7880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7880)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7880)Termination reason: Instruction limit
% 1.17/0.69 % (7880)Termination phase: Saturation
% 1.17/0.69 % (7880)Time elapsed: 0.075 s
% 1.17/0.69 % (7880)Peak memory usage: 12 MB
% 1.17/0.69 % (7880)Instructions burned: 181 (million)
% 1.17/0.69 % (7882)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1280054613:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.17/0.69 % (7883)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1644762328:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.17/0.69 % TRYING [1]
% 1.17/0.69 % TRYING [2]
% 1.17/0.69 % TRYING [3]
% 1.17/0.69 % (7884)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1288464032:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.17/0.69 % TRYING [4]
% 1.17/0.69 % TRYING [5]
% 1.17/0.69 % (7884) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-7855-7884"...
% 1.17/0.69 % (7884)...printing done.
% 1.17/0.69 % (7884)Refutation found. Thanks to Tanya!
% 1.17/0.69 % SZS status Theorem for theBenchmark
% 1.17/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.17/0.69 % (7884)------------------------------
% 1.17/0.69 % (7884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.69 % (7884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.69 % (7884)CaDiCaL version: 2.1.3
% 1.17/0.69 % (7884)Termination reason: Refutation
% 1.17/0.69 % (7884)Time elapsed: 0.016 s
% 1.17/0.69 % (7884)Peak memory usage: 13 MB
% 1.17/0.69 % (7884)Instructions burned: 22 (million)
% 1.17/0.69 % (7855)Success in time 0.262 s
% 1.17/0.69 % Vampire exiting
%------------------------------------------------------------------------------