%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET646+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:44:18 PM UTC 2026
% Result : Theorem 0.43s 0.48s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 87 ( 16 unt; 2 def)
% Number of atoms : 319 ( 15 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 365 ( 133 ~; 163 |; 19 &)
% ( 18 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 160 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X0,X2)
& member(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( X2 = singleton(X1)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X2)
<=> X3 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(f25,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f26,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( member(X2,X0)
& member(X3,X1) )
=> ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_8) ).
fof(f27,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( member(X2,X0)
& member(X3,X1) )
=> ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X0,X2)
& member(X1,X3) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = singleton(X1)
<=> ! [X3] :
( ( member(X3,X2)
<=> X3 = X1 )
| ~ ilf_type(X3,set_type) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f45]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f48]) ).
fof(f52,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1))
& member(X2,X0)
& member(X3,X1)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(singleton(ordered_pair(X2,X3)),relation_type(X0,X1))
& member(X2,X0)
& member(X3,X1)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f58]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| X1 = X3
| ~ member(X3,X2)
| singleton(X1) != X2 ),
inference(cnf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f95,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f96,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f99,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f102,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f113,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f25]) ).
fof(f115,plain,
member(sK14,sK12),
inference(cnf_transformation,[],[f59]) ).
fof(f116,plain,
member(sK13,sK11),
inference(cnf_transformation,[],[f59]) ).
fof(f117,plain,
~ ilf_type(singleton(ordered_pair(sK13,sK14)),relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(singleton(X1),set_type)
| ~ ilf_type(X3,set_type)
| X1 = X3
| ~ member(X3,singleton(X1)) ),
inference(equality_resolution,[],[f71]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| ilf_type(X3,set_type)
| ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f137,plain,
! [X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(singleton(X1),set_type)
| ilf_type(X3,set_type)
| X1 = X3
| ~ member(X3,singleton(X1)) ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f149,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f161,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f162,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f168,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f172,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ empty(X0) ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f181,plain,
! [X0] : ~ ilf_type(X0,set_type),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f185,plain,
ilf_type(singleton(ordered_pair(sK13,sK14)),relation_type(sK11,sK12)),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f194,definition,
( spl15_2
<=> ! [X1] : ilf_type(X1,set_type) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f195,plain,
( ! [X1] : ilf_type(X1,set_type)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f214,definition,
( spl15_7
<=> ! [X1,X3] :
( ilf_type(X1,set_type)
| ~ member(X3,singleton(X1))
| X1 = X3
| ilf_type(X3,set_type)
| ilf_type(singleton(X1),set_type) ) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f215,plain,
( ! [X3,X1] :
( ilf_type(X1,set_type)
| ~ member(X3,singleton(X1))
| X1 = X3
| ilf_type(X3,set_type)
| ilf_type(singleton(X1),set_type) )
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( spl15_7
| spl15_2 ),
inference(avatar_split_clause,[],[f137,f194,f214]) ).
fof(f221,plain,
( $false
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f195,f181]) ).
fof(f222,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f228,plain,
( ! [X3,X1] :
( ~ member(X3,singleton(X1))
| X1 = X3
| ilf_type(X3,set_type)
| ilf_type(singleton(X1),set_type) )
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f215,f181]) ).
fof(f234,plain,
( ! [X3,X1] :
( ~ member(X3,singleton(X1))
| X1 = X3
| ilf_type(singleton(X1),set_type) )
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f228,f181]) ).
fof(f237,plain,
( ! [X3,X1] :
( ~ member(X3,singleton(X1))
| X1 = X3 )
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f234,f181]) ).
fof(f249,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f172,f181]) ).
fof(f250,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ member(X1,X0) ),
inference(forward_subsumption_resolution,[],[f249,f181]) ).
fof(f315,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f149,f181]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(forward_subsumption_resolution,[],[f315,f181]) ).
fof(f317,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f161,f181]) ).
fof(f318,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f317,f181]) ).
fof(f320,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f162,f181]) ).
fof(f321,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f320,f181]) ).
fof(f324,plain,
( ! [X0,X1] :
( member(singleton(X0),power_set(X1))
| sK5(singleton(X0),X1) = X0 )
| ~ spl15_7 ),
inference(resolution,[],[f321,f237]) ).
fof(f332,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f168,f181]) ).
fof(f333,plain,
! [X0,X1] :
( empty(X1)
| ~ member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f332,f181]) ).
fof(f334,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f333,f250]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f134,f181]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f338,f181]) ).
fof(f340,plain,
ilf_type(singleton(ordered_pair(sK13,sK14)),subset_type(cross_product(sK11,sK12))),
inference(resolution,[],[f339,f185]) ).
fof(f342,plain,
ilf_type(singleton(ordered_pair(sK13,sK14)),member_type(power_set(cross_product(sK11,sK12)))),
inference(resolution,[],[f340,f316]) ).
fof(f350,plain,
~ member(singleton(ordered_pair(sK13,sK14)),power_set(cross_product(sK11,sK12))),
inference(resolution,[],[f342,f334]) ).
fof(f444,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f130,f181]) ).
fof(f445,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f444,f181]) ).
fof(f446,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f445,f181]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3) ),
inference(forward_subsumption_resolution,[],[f446,f181]) ).
fof(f481,plain,
( ordered_pair(sK13,sK14) = sK5(singleton(ordered_pair(sK13,sK14)),cross_product(sK11,sK12))
| ~ spl15_7 ),
inference(resolution,[],[f324,f350]) ).
fof(f660,plain,
( ~ member(ordered_pair(sK13,sK14),cross_product(sK11,sK12))
| member(singleton(ordered_pair(sK13,sK14)),power_set(cross_product(sK11,sK12)))
| ~ spl15_7 ),
inference(superposition,[],[f318,f481]) ).
fof(f661,plain,
( ~ member(ordered_pair(sK13,sK14),cross_product(sK11,sK12))
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f660,f350]) ).
fof(f1080,plain,
( ~ member(sK13,sK11)
| ~ member(sK14,sK12)
| ~ spl15_7 ),
inference(resolution,[],[f661,f447]) ).
fof(f1082,plain,
( ~ member(sK14,sK12)
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f1080,f116]) ).
fof(f1083,plain,
( $false
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f1082,f115]) ).
fof(f1084,plain,
~ spl15_7,
inference(avatar_contradiction_clause,[],[f1083]) ).
cnf(s8,plain,
( spl15_2
| spl15_7 ),
inference(sat_conversion,[],[f216]) ).
cnf(s10,plain,
~ spl15_2,
inference(sat_conversion,[],[f222]) ).
cnf(s22,plain,
~ spl15_7,
inference(sat_conversion,[],[f1084]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s8,s22,s10]) ).
fof(f1085,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET646+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n018.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 02:26:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 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
% 0.43/0.48 % (2935238)Will run a generic schedule for satisfiability detection.
% 0.43/0.48 % (2935243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3414646431_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.48 % TRYING [1]
% 0.43/0.48 % (2935244)% WARNING: option uhcvi not known.
% 0.43/0.48 % TRYING [2]
% 0.43/0.48 % TRYING [3]
% 0.43/0.48 % (2935246)dis+10_1_sil=32000:sp=arity:random_seed=1409963389:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.48 % (2935245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2415832259:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.48 % (2935247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2525973462:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.48 % (2935248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=730918693:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.48 % (2935249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=227004832:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.48 % (2935244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=126594823:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.48 % TRYING [4]
% 0.43/0.48 % TRYING [5]
% 0.43/0.48 % (2935244) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2935238-2935244"...
% 0.43/0.48 % (2935244)...printing done.
% 0.43/0.48 % (2935244)Refutation found. Thanks to Tanya!
% 0.43/0.48 % SZS status Theorem for theBenchmark
% 0.43/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.48 % (2935244)------------------------------
% 0.43/0.48 % (2935244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.48 % (2935244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.48 % (2935244)CaDiCaL version: 2.1.3
% 0.43/0.48 % (2935244)Termination reason: Refutation
% 0.43/0.48 % (2935244)Time elapsed: 0.036 s
% 0.43/0.48 % (2935244)Peak memory usage: 13 MB
% 0.43/0.48 % (2935244)Instructions burned: 50 (million)
% 0.43/0.48 % (2935238)Success in time 0.072 s
% 0.43/0.48 % Vampire exiting
%------------------------------------------------------------------------------