%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU293+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 : n010.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 12:52:45 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 88 ( 16 unt; 4 def)
% Number of atoms : 355 ( 59 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 429 ( 162 ~; 166 |; 68 &)
% ( 19 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 136 ( 0 sgn 113 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
& ( X1 = empty_set
=> ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f17,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f42,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f43,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f48,conjecture,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( X1 != empty_set
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funct_2) ).
fof(f49,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( X1 != empty_set
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f66,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f4]) ).
fof(f69,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f74,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f81,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( in(X4,relation_inverse_image(X3,X2))
<~> ( in(X4,X0)
& in(apply(X3,X4),X2) ) )
& X1 != empty_set
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f87,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( in(X4,relation_inverse_image(X3,X2))
<~> ( in(X4,X0)
& in(apply(X3,X4),X2) ) )
& X1 != empty_set
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f94,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f95,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK0(X0,X1,X2)),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK0(X0,X1,X2)),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( X0 = relation_dom_as_subset(X0,X1,X2)
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| ~ quasi_total(X2,X0,X1) ) )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f117,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ in(X4,X0)
| ~ in(apply(X3,X4),X2)
| ~ in(X4,relation_inverse_image(X3,X2)) )
& ( ( in(X4,X0)
& in(apply(X3,X4),X2) )
| in(X4,relation_inverse_image(X3,X2)) ) )
& X1 != empty_set
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(nnf_transformation,[],[f87]) ).
fof(f118,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ in(X4,X0)
| ~ in(apply(X3,X4),X2)
| ~ in(X4,relation_inverse_image(X3,X2)) )
& ( ( in(X4,X0)
& in(apply(X3,X4),X2) )
| in(X4,relation_inverse_image(X3,X2)) ) )
& X1 != empty_set
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
( ( ~ in(sK22,sK18)
| ~ in(apply(sK21,sK22),sK20)
| ~ in(sK22,relation_inverse_image(sK21,sK20)) )
& ( ( in(sK22,sK18)
& in(apply(sK21,sK22),sK20) )
| in(sK22,relation_inverse_image(sK21,sK20)) )
& empty_set != sK19
& function(sK21)
& quasi_total(sK21,sK18,sK19)
& relation_of2_as_subset(sK21,sK18,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21),skolemize(X4,sK22)],[f118]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X0))
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f128,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f139,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f190,plain,
relation_of2_as_subset(sK21,sK18,sK19),
inference(cnf_transformation,[],[f119]) ).
fof(f191,plain,
quasi_total(sK21,sK18,sK19),
inference(cnf_transformation,[],[f119]) ).
fof(f192,plain,
function(sK21),
inference(cnf_transformation,[],[f119]) ).
fof(f193,plain,
empty_set != sK19,
inference(cnf_transformation,[],[f119]) ).
fof(f194,plain,
( in(apply(sK21,sK22),sK20)
| in(sK22,relation_inverse_image(sK21,sK20)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f195,plain,
( in(sK22,sK18)
| in(sK22,relation_inverse_image(sK21,sK20)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f196,plain,
( ~ in(sK22,sK18)
| ~ in(apply(sK21,sK22),sK20)
| ~ in(sK22,relation_inverse_image(sK21,sK20)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f202,plain,
! [X0,X1,X4] :
( ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,relation_inverse_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f128]) ).
fof(f203,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f127]) ).
fof(f204,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f211,definition,
( spl23_1
<=> in(sK22,relation_inverse_image(sK21,sK20)) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f213,plain,
( in(sK22,relation_inverse_image(sK21,sK20))
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f215,definition,
( spl23_2
<=> in(apply(sK21,sK22),sK20) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f217,plain,
( in(apply(sK21,sK22),sK20)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f194,f215,f211]) ).
fof(f220,definition,
( spl23_3
<=> in(sK22,sK18) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f223,plain,
( spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f195,f220,f211]) ).
fof(f224,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3 ),
inference(avatar_split_clause,[],[f196,f220,f215,f211]) ).
fof(f302,plain,
relation_of2(sK21,sK18,sK19),
inference(resolution,[],[f184,f190]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f139,f123]) ).
fof(f369,plain,
relation_dom_as_subset(sK18,sK19,sK21) = relation_dom(sK21),
inference(resolution,[],[f183,f302]) ).
fof(f381,plain,
( sK18 = relation_dom_as_subset(sK18,sK19,sK21)
| empty_set = sK19
| ~ relation_of2_as_subset(sK21,sK18,sK19) ),
inference(resolution,[],[f134,f191]) ).
fof(f383,plain,
( sK18 = relation_dom_as_subset(sK18,sK19,sK21)
| ~ relation_of2_as_subset(sK21,sK18,sK19) ),
inference(forward_subsumption_resolution,[],[f381,f193]) ).
fof(f384,plain,
sK18 = relation_dom_as_subset(sK18,sK19,sK21),
inference(forward_subsumption_resolution,[],[f383,f190]) ).
fof(f385,plain,
sK18 = relation_dom(sK21),
inference(superposition,[],[f384,f369]) ).
fof(f396,plain,
( ~ in(sK22,relation_dom(sK21))
| in(sK22,relation_inverse_image(sK21,sK20))
| ~ relation(sK21)
| ~ function(sK21)
| ~ spl23_2 ),
inference(resolution,[],[f202,f217]) ).
fof(f400,definition,
( spl23_6
<=> relation(sK21) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f401,plain,
( relation(sK21)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f498,plain,
relation(sK21),
inference(resolution,[],[f350,f190]) ).
fof(f504,plain,
spl23_6,
inference(avatar_split_clause,[],[f498,f400]) ).
fof(f527,plain,
( ~ in(sK22,relation_dom(sK21))
| in(sK22,relation_inverse_image(sK21,sK20))
| ~ relation(sK21)
| ~ spl23_2 ),
inference(forward_subsumption_resolution,[],[f396,f192]) ).
fof(f529,plain,
( ~ in(sK22,sK18)
| in(sK22,relation_inverse_image(sK21,sK20))
| ~ relation(sK21)
| ~ spl23_2 ),
inference(forward_demodulation,[],[f527,f385]) ).
fof(f530,plain,
( ~ spl23_6
| spl23_1
| ~ spl23_3
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f529,f215,f220,f211,f400]) ).
fof(f531,plain,
( in(apply(sK21,sK22),sK20)
| ~ relation(sK21)
| ~ function(sK21)
| ~ spl23_1 ),
inference(resolution,[],[f213,f204]) ).
fof(f532,plain,
( in(sK22,relation_dom(sK21))
| ~ relation(sK21)
| ~ function(sK21)
| ~ spl23_1 ),
inference(resolution,[],[f213,f203]) ).
fof(f536,plain,
( in(sK22,relation_dom(sK21))
| ~ function(sK21)
| ~ spl23_1
| ~ spl23_6 ),
inference(forward_subsumption_resolution,[],[f532,f401]) ).
fof(f537,plain,
( in(sK22,relation_dom(sK21))
| ~ spl23_1
| ~ spl23_6 ),
inference(forward_subsumption_resolution,[],[f536,f192]) ).
fof(f538,plain,
( in(sK22,sK18)
| ~ spl23_1
| ~ spl23_6 ),
inference(forward_demodulation,[],[f537,f385]) ).
fof(f542,plain,
( spl23_3
| ~ spl23_1
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f538,f400,f211,f220]) ).
fof(f543,plain,
( in(apply(sK21,sK22),sK20)
| ~ function(sK21)
| ~ spl23_1
| ~ spl23_6 ),
inference(forward_subsumption_resolution,[],[f531,f401]) ).
fof(f545,plain,
( in(apply(sK21,sK22),sK20)
| ~ spl23_1
| ~ spl23_6 ),
inference(forward_subsumption_resolution,[],[f543,f192]) ).
fof(f546,plain,
( spl23_2
| ~ spl23_1
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f545,f400,f211,f215]) ).
cnf(s1,plain,
( spl23_1
| spl23_2 ),
inference(sat_conversion,[],[f218]) ).
cnf(s2,plain,
( spl23_1
| spl23_3 ),
inference(sat_conversion,[],[f223]) ).
cnf(s3,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3 ),
inference(sat_conversion,[],[f224]) ).
cnf(s17,plain,
spl23_6,
inference(sat_conversion,[],[f504]) ).
cnf(s24,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_6 ),
inference(sat_conversion,[],[f530]) ).
cnf(s26,plain,
( ~ spl23_1
| spl23_3
| ~ spl23_6 ),
inference(sat_conversion,[],[f542]) ).
cnf(s28,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_6 ),
inference(sat_conversion,[],[f546]) ).
cnf(s33,plain,
spl23_1,
inference(rat,[],[s24,s1,s2,s17]) ).
cnf(s34,plain,
spl23_2,
inference(rat,[],[s28,s17,s33]) ).
cnf(s35,plain,
spl23_3,
inference(rat,[],[s26,s17,s33]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s3,s34,s35,s33]) ).
fof(f547,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU293+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:32:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (1555970)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (1555979)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2522945254:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (1555976)% WARNING: option uhcvi not known.
% 0.10/0.45 % (1555977)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2288206833:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (1555975)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2147303901_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (1555978)dis+10_1_sil=32000:sp=arity:random_seed=1227593279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (1555981)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4265976086:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (1555980)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3317313936:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (1555976)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3707312504:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (1555978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1555970-1555978"...
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (1555978)...printing done.
% 0.10/0.45 % (1555979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1555970-1555979"...
% 0.10/0.45 % (1555978)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (1555978)------------------------------
% 0.10/0.46 % (1555978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (1555978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (1555978)CaDiCaL version: 2.1.3
% 0.10/0.46 % (1555978)Termination reason: Refutation
% 0.10/0.46 % (1555978)Time elapsed: 0.012 s
% 0.10/0.46 % (1555978)Peak memory usage: 12 MB
% 0.10/0.46 % (1555978)Instructions burned: 15 (million)
% 0.10/0.46 % (1555970)Success in time 0.048 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------