%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET662+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 : n015.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 12:44:21 PM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 102 ( 22 unt; 11 def)
% Number of atoms : 300 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 345 ( 147 ~; 141 |; 20 &)
% ( 19 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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',p2) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ~ member(X0,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f8,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',p7) ).
fof(f13,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',p12) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f15,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',p14) ).
fof(f21,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f22,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(empty_set,relation_type(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_25) ).
fof(f23,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(empty_set,relation_type(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f26,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,[],[f2]) ).
fof(f28,plain,
! [X0] :
( ~ member(X0,empty_set)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f30,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,[],[f8]) ).
fof(f36,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,[],[f13]) ).
fof(f37,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,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f39,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,[],[f15]) ).
fof(f40,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,[],[f39]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ~ ilf_type(empty_set,relation_type(X0,X1))
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0)
& ilf_type(sK4(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f60]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f40]) ).
fof(f67,plain,
( ~ ilf_type(empty_set,relation_type(sK9,sK10))
& ilf_type(sK10,set_type)
& ilf_type(sK9,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f49]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0] :
( ~ member(X0,empty_set)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f28]) ).
fof(f76,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(cnf_transformation,[],[f51]) ).
fof(f88,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f91,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f93,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(cnf_transformation,[],[f62]) ).
fof(f104,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f21]) ).
fof(f107,plain,
~ ilf_type(empty_set,relation_type(sK9,sK10)),
inference(cnf_transformation,[],[f67]) ).
fof(f112,plain,
! [X0] :
( empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f113,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(consistent_polarity_flipping,[],[f93]) ).
fof(f121,definition,
( spl11_1
<=> ilf_type(empty_set,set_type) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f123,plain,
( ~ ilf_type(empty_set,set_type)
| spl11_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f128,plain,
( $false
| spl11_1 ),
inference(resolution,[],[f123,f104]) ).
fof(f129,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f132,plain,
! [X0] :
( member(empty_set,power_set(X0))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(empty_set,set_type)
| ~ ilf_type(sK4(empty_set,X0),set_type) ),
inference(resolution,[],[f88,f72]) ).
fof(f134,definition,
( spl11_3
<=> ! [X0] :
( member(empty_set,power_set(X0))
| ~ ilf_type(sK4(empty_set,X0),set_type)
| ~ ilf_type(X0,set_type) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f135,plain,
( ! [X0] :
( member(empty_set,power_set(X0))
| ~ ilf_type(sK4(empty_set,X0),set_type)
| ~ ilf_type(X0,set_type) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( ~ spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f132,f134,f121]) ).
fof(f142,plain,
( ~ ilf_type(empty_set,subset_type(cross_product(sK9,sK10)))
| ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK9,set_type) ),
inference(resolution,[],[f70,f107]) ).
fof(f144,definition,
( spl11_4
<=> ilf_type(sK9,set_type) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f146,plain,
( ~ ilf_type(sK9,set_type)
| spl11_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl11_5
<=> ilf_type(sK10,set_type) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f150,plain,
( ~ ilf_type(sK10,set_type)
| spl11_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl11_6
<=> ilf_type(empty_set,subset_type(cross_product(sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f154,plain,
( ~ ilf_type(empty_set,subset_type(cross_product(sK9,sK10)))
| spl11_6 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f142,f152,f148,f144]) ).
fof(f156,plain,
( $false
| spl11_4 ),
inference(resolution,[],[f146,f104]) ).
fof(f157,plain,
spl11_4,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f158,plain,
( $false
| spl11_5 ),
inference(resolution,[],[f150,f104]) ).
fof(f159,plain,
spl11_5,
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f161,plain,
( ~ ilf_type(empty_set,member_type(power_set(cross_product(sK9,sK10))))
| ~ ilf_type(empty_set,set_type)
| ~ ilf_type(cross_product(sK9,sK10),set_type)
| spl11_6 ),
inference(resolution,[],[f154,f76]) ).
fof(f163,definition,
( spl11_7
<=> ilf_type(cross_product(sK9,sK10),set_type) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f165,plain,
( ~ ilf_type(cross_product(sK9,sK10),set_type)
| spl11_7 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f167,definition,
( spl11_8
<=> ilf_type(empty_set,member_type(power_set(cross_product(sK9,sK10)))) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f169,plain,
( ~ ilf_type(empty_set,member_type(power_set(cross_product(sK9,sK10))))
| spl11_8 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( ~ spl11_7
| ~ spl11_1
| ~ spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f161,f152,f167,f121,f163]) ).
fof(f171,plain,
( $false
| spl11_7 ),
inference(resolution,[],[f165,f104]) ).
fof(f172,plain,
spl11_7,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f174,plain,
( ~ member(empty_set,power_set(cross_product(sK9,sK10)))
| ~ empty(power_set(cross_product(sK9,sK10)))
| ~ ilf_type(power_set(cross_product(sK9,sK10)),set_type)
| ~ ilf_type(empty_set,set_type)
| spl11_8 ),
inference(resolution,[],[f169,f113]) ).
fof(f176,definition,
( spl11_9
<=> ilf_type(power_set(cross_product(sK9,sK10)),set_type) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f178,plain,
( ~ ilf_type(power_set(cross_product(sK9,sK10)),set_type)
| spl11_9 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl11_10
<=> empty(power_set(cross_product(sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f182,plain,
( ~ empty(power_set(cross_product(sK9,sK10)))
| spl11_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl11_11
<=> member(empty_set,power_set(cross_product(sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f186,plain,
( ~ member(empty_set,power_set(cross_product(sK9,sK10)))
| spl11_11 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
( ~ spl11_1
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f174,f167,f184,f180,f176,f121]) ).
fof(f188,plain,
( ~ ilf_type(cross_product(sK9,sK10),set_type)
| spl11_10 ),
inference(resolution,[],[f182,f112]) ).
fof(f190,plain,
( ~ spl11_7
| spl11_10 ),
inference(avatar_split_clause,[],[f188,f180,f163]) ).
fof(f191,plain,
( $false
| spl11_9 ),
inference(resolution,[],[f178,f104]) ).
fof(f192,plain,
spl11_9,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f193,plain,
( ~ ilf_type(sK4(empty_set,cross_product(sK9,sK10)),set_type)
| ~ ilf_type(cross_product(sK9,sK10),set_type)
| ~ spl11_3
| spl11_11 ),
inference(resolution,[],[f186,f135]) ).
fof(f202,definition,
( spl11_13
<=> ilf_type(sK4(empty_set,cross_product(sK9,sK10)),set_type) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f204,plain,
( ~ ilf_type(sK4(empty_set,cross_product(sK9,sK10)),set_type)
| spl11_13 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( ~ spl11_7
| ~ spl11_13
| ~ spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f193,f184,f134,f202,f163]) ).
fof(f206,plain,
( $false
| spl11_13 ),
inference(resolution,[],[f204,f104]) ).
fof(f207,plain,
spl11_13,
inference(avatar_contradiction_clause,[],[f206]) ).
cnf(s2,plain,
spl11_1,
inference(sat_conversion,[],[f129]) ).
cnf(s3,plain,
( ~ spl11_1
| spl11_3 ),
inference(sat_conversion,[],[f136]) ).
cnf(s4,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_6 ),
inference(sat_conversion,[],[f155]) ).
cnf(s5,plain,
spl11_4,
inference(sat_conversion,[],[f157]) ).
cnf(s6,plain,
spl11_5,
inference(sat_conversion,[],[f159]) ).
cnf(s7,plain,
( ~ spl11_1
| spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s8,plain,
spl11_7,
inference(sat_conversion,[],[f172]) ).
cnf(s9,plain,
( ~ spl11_1
| spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(sat_conversion,[],[f187]) ).
cnf(s10,plain,
( ~ spl11_7
| spl11_10 ),
inference(sat_conversion,[],[f190]) ).
cnf(s11,plain,
spl11_9,
inference(sat_conversion,[],[f192]) ).
cnf(s13,plain,
( ~ spl11_3
| ~ spl11_7
| spl11_11
| ~ spl11_13 ),
inference(sat_conversion,[],[f205]) ).
cnf(s14,plain,
spl11_13,
inference(sat_conversion,[],[f207]) ).
cnf(s15,plain,
( ~ spl11_3
| ~ spl11_7
| spl11_11 ),
inference(rat,[],[s13,s14]) ).
cnf(s16,plain,
( ~ spl11_1
| spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(rat,[],[s9,s11]) ).
cnf(s17,plain,
spl11_10,
inference(rat,[],[s10,s8]) ).
cnf(s18,plain,
( ~ spl11_1
| spl11_6
| ~ spl11_8 ),
inference(rat,[],[s7,s8]) ).
cnf(s19,plain,
~ spl11_6,
inference(rat,[],[s4,s6,s5]) ).
cnf(s20,plain,
~ spl11_8,
inference(rat,[],[s18,s19,s2]) ).
cnf(s21,plain,
spl11_3,
inference(rat,[],[s3,s2]) ).
cnf(s22,plain,
~ spl11_11,
inference(rat,[],[s16,s2,s17,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s15,s8,s22,s21]) ).
fof(f208,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET662+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 02:32:01 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.41 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
% 0.13/0.45 % (2206148)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (2206161)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2517544295:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45 % (2206161) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2206148-2206161"...
% 0.13/0.45 % (2206161)...printing done.
% 0.13/0.45 % (2206154)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2223601192_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % (2206161)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (2206161)------------------------------
% 0.13/0.45 % (2206161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (2206161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (2206161)CaDiCaL version: 2.1.3
% 0.13/0.45 % (2206161)Termination reason: Refutation
% 0.13/0.45 % (2206161)Time elapsed: 0.004 s
% 0.13/0.45 % (2206161)Peak memory usage: 12 MB
% 0.13/0.45 % (2206161)Instructions burned: 5 (million)
% 0.13/0.45 % (2206148)Success in time 0.029 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------