%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET615+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:41:23 PM UTC 2026
% Result : Theorem 2.64s 1.29s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 14 unt; 10 def)
% Number of atoms : 259 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 260 ( 105 ~; 119 |; 20 &)
% ( 15 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 73 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f8,conjecture,
! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_distributes_over_union) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f11,plain,
? [X0,X1,X2] : difference(union(X0,X1),X2) != union(difference(X0,X2),difference(X1,X2)),
inference(ennf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f19]) ).
fof(f24,plain,
difference(union(sK2,sK3),sK4) != union(difference(sK2,sK4),difference(sK3,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f11]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
difference(union(sK2,sK3),sK4) != union(difference(sK2,sK4),difference(sK3,sK4)),
inference(cnf_transformation,[],[f24]) ).
fof(f48,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f49,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f33,f48]) ).
fof(f53,plain,
~ sQ5_eqProxy(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),
inference(equality_proxy_replacement,[],[f43,f48]) ).
fof(f61,plain,
( ~ subset(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4)))
| ~ subset(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)) ),
inference(resolution,[],[f49,f53]) ).
fof(f64,definition,
( spl6_1
<=> subset(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f65,plain,
( ~ subset(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4)))
| spl6_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl6_2
<=> subset(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f68,plain,
( ~ subset(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4))
| spl6_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f61,f64,f67]) ).
fof(f72,plain,
( member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(union(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f65,f36]) ).
fof(f75,plain,
( member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(sK2,sK3))
| spl6_1 ),
inference(resolution,[],[f72,f29]) ).
fof(f79,plain,
( member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK3)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK2)
| spl6_1 ),
inference(resolution,[],[f75,f25]) ).
fof(f81,definition,
( spl6_3
<=> member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f84,definition,
( spl6_4
<=> member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f86,plain,
( spl6_3
| spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f79,f64,f84,f81]) ).
fof(f87,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(union(sK2,sK3),sK4))
| spl6_2 ),
inference(resolution,[],[f68,f37]) ).
fof(f91,definition,
( spl6_5
<=> member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f92,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,definition,
( spl6_6
<=> member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f95,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4))
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK2)
| ~ spl6_5 ),
inference(resolution,[],[f92,f29]) ).
fof(f98,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| ~ spl6_5 ),
inference(resolution,[],[f92,f28]) ).
fof(f101,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(sK2,sK3))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| spl6_2 ),
inference(resolution,[],[f30,f87]) ).
fof(f103,definition,
( spl6_7
<=> member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f104,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,definition,
( spl6_8
<=> member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f107,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(sK2,sK3))
| spl6_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( spl6_7
| ~ spl6_8
| spl6_2 ),
inference(avatar_split_clause,[],[f101,f67,f106,f103]) ).
fof(f109,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK2)
| spl6_8 ),
inference(resolution,[],[f107,f27]) ).
fof(f110,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK3)
| spl6_8 ),
inference(resolution,[],[f107,f26]) ).
fof(f111,plain,
( $false
| ~ spl6_5
| spl6_8 ),
inference(resolution,[],[f109,f97]) ).
fof(f112,plain,
( ~ spl6_5
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f113,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK3)
| ~ spl6_6 ),
inference(resolution,[],[f95,f29]) ).
fof(f114,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| ~ spl6_6 ),
inference(resolution,[],[f95,f28]) ).
fof(f115,plain,
( $false
| ~ spl6_6
| spl6_8 ),
inference(resolution,[],[f113,f110]) ).
fof(f116,plain,
( ~ spl6_6
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f123,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(difference(sK2,sK4),difference(sK3,sK4)))
| spl6_1 ),
inference(resolution,[],[f65,f37]) ).
fof(f124,plain,
( member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(union(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f65,f36]) ).
fof(f126,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| spl6_1 ),
inference(resolution,[],[f124,f28]) ).
fof(f128,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(sK2,sK4))
| spl6_1 ),
inference(resolution,[],[f123,f27]) ).
fof(f129,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(sK3,sK4))
| spl6_1 ),
inference(resolution,[],[f123,f26]) ).
fof(f132,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK2)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| spl6_1 ),
inference(resolution,[],[f128,f30]) ).
fof(f135,definition,
( spl6_9
<=> member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f136,plain,
( member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl6_9
| ~ spl6_3
| spl6_1 ),
inference(avatar_split_clause,[],[f132,f64,f81,f135]) ).
fof(f139,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK3)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| spl6_1 ),
inference(resolution,[],[f129,f30]) ).
fof(f142,plain,
( spl6_9
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f139,f64,f84,f135]) ).
fof(f143,plain,
( $false
| spl6_1
| ~ spl6_9 ),
inference(resolution,[],[f136,f126]) ).
fof(f144,plain,
( spl6_1
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f146,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(difference(sK2,sK4),difference(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f68,f36]) ).
fof(f149,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4))
| spl6_2 ),
inference(resolution,[],[f146,f25]) ).
fof(f150,plain,
( spl6_5
| spl6_6
| spl6_2 ),
inference(avatar_split_clause,[],[f149,f67,f94,f91]) ).
fof(f151,plain,
( $false
| ~ spl6_5
| ~ spl6_7 ),
inference(resolution,[],[f98,f104]) ).
fof(f153,plain,
( ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f175,plain,
( $false
| ~ spl6_6
| ~ spl6_7 ),
inference(resolution,[],[f114,f104]) ).
fof(f177,plain,
( ~ spl6_6
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f175]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f70]) ).
cnf(s3,plain,
( spl6_1
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f86]) ).
cnf(s5,plain,
( spl6_2
| spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f108]) ).
cnf(s6,plain,
( ~ spl6_5
| spl6_8 ),
inference(sat_conversion,[],[f112]) ).
cnf(s7,plain,
( ~ spl6_6
| spl6_8 ),
inference(sat_conversion,[],[f116]) ).
cnf(s8,plain,
( spl6_1
| ~ spl6_3
| spl6_9 ),
inference(sat_conversion,[],[f138]) ).
cnf(s9,plain,
( spl6_1
| ~ spl6_4
| spl6_9 ),
inference(sat_conversion,[],[f142]) ).
cnf(s10,plain,
( spl6_1
| ~ spl6_9 ),
inference(sat_conversion,[],[f144]) ).
cnf(s11,plain,
( spl6_2
| spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f150]) ).
cnf(s12,plain,
( ~ spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f153]) ).
cnf(s15,plain,
( ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f177]) ).
cnf(s16,plain,
( spl6_1
| spl6_9 ),
inference(rat,[],[s3,s8,s9]) ).
cnf(s17,plain,
spl6_1,
inference(rat,[],[s16,s10]) ).
cnf(s18,plain,
~ spl6_2,
inference(rat,[],[s2,s17]) ).
cnf(s19,plain,
~ spl6_6,
inference(rat,[],[s5,s7,s15,s18]) ).
cnf(s20,plain,
spl6_5,
inference(rat,[],[s11,s18,s19]) ).
cnf(s21,plain,
~ spl6_7,
inference(rat,[],[s12,s20]) ).
cnf(s22,plain,
spl6_8,
inference(rat,[],[s6,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s5,s18,s22,s21]) ).
fof(f178,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET615+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.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 02:19:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/1.29 % (3601568)Detected formulas, will run a generic FOF schedule.
% 2.64/1.29 % (3601573)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3123180215:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.64/1.29 % (3601579)dis-21_1_sil=8000:lcm=predicate:random_seed=3913573567:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.64/1.29 % (3601576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=832800985:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.64/1.29 % (3601575)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=767290427:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.64/1.29 % (3601577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=341052197:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.64/1.29 % (3601578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=926532205:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.64/1.29 % (3601574)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1555921165:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.64/1.29 % (3601576)Refutation not found, incomplete strategy
% 2.64/1.29 % (3601576)------------------------------
% 2.64/1.29 % (3601576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29 % (3601576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29 % (3601576)CaDiCaL version: 2.1.3
% 2.64/1.29 % (3601576)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.29 % (3601576)Time elapsed: 0.001 s
% 2.64/1.29 % (3601576)Peak memory usage: 88 MB
% 2.64/1.29 % (3601579)First to succeed.
% 2.64/1.29 % (3601579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3601568"
% 2.64/1.29 % (3601577)Instruction limit reached!
% 2.64/1.29 % (3601577)------------------------------
% 2.64/1.29 % (3601577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29 % (3601577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29 % (3601577)CaDiCaL version: 2.1.3
% 2.64/1.29 % (3601577)Termination reason: Instruction limit
% 2.64/1.29 % (3601577)Termination phase: Saturation
% 2.64/1.29 % (3601577)Time elapsed: 0.072 s
% 2.64/1.29 % (3601577)Peak memory usage: 88 MB
% 2.64/1.29 % (3601577)Instructions burned: 120 (million)
% 2.64/1.29 % (3601578)Instruction limit reached!
% 2.64/1.29 % (3601578)------------------------------
% 2.64/1.29 % (3601578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29 % (3601578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29 % (3601578)CaDiCaL version: 2.1.3
% 2.64/1.29 % (3601578)Termination reason: Instruction limit
% 2.64/1.29 % (3601578)Termination phase: Saturation
% 2.64/1.29 % (3601578)Time elapsed: 0.082 s
% 2.64/1.29 % (3601578)Peak memory usage: 89 MB
% 2.64/1.29 % (3601578)Instructions burned: 141 (million)
% 2.64/1.29 % (3601587)lrs+10_1_sil=8000:sp=occurrence:random_seed=3105431491:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.64/1.29 % (3601576)------------------------------
% 2.64/1.29 % (3601576)------------------------------
% 2.64/1.29 % (3601588)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3707369991:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.64/1.29 % (3601588)Refutation not found, incomplete strategy
% 2.64/1.29 % (3601588)------------------------------
% 2.64/1.29 % (3601588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29 % (3601588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29 % (3601588)CaDiCaL version: 2.1.3
% 2.64/1.29 % (3601588)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.29 % (3601588)Time elapsed: 0.002 s
% 2.64/1.29 % (3601588)Peak memory usage: 89 MB
% 2.64/1.29 % (3601588)Instructions burned: 1 (million)
% 2.64/1.29 % (3601579)Refutation found. Thanks to Tanya!
% 2.64/1.29 % SZS status Theorem for theBenchmark
% 2.64/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.49 % (3601579)------------------------------
% 3.59/1.49 % (3601579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.49 % (3601579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.49 % (3601579)CaDiCaL version: 2.1.3
% 3.59/1.49 % (3601579)Termination reason: Refutation
% 3.59/1.49 % (3601579)Time elapsed: 0.005 s
% 3.59/1.49 % (3601579)Peak memory usage: 89 MB
% 3.59/1.49 % (3601579)Instructions burned: 5 (million)
% 3.59/1.49 % (3601579)------------------------------
% 3.59/1.49 % (3601579)------------------------------
% 3.59/1.49 % (3601568)Success in time 0.427 s
% 3.59/1.49 % Vampire exiting
%------------------------------------------------------------------------------