%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 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 12:42:22 PM UTC 2026
% Result : Theorem 9.17s 2.16s
% Output : Refutation 9.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 107 ( 30 unt; 7 def)
% Number of atoms : 302 ( 60 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 312 ( 117 ~; 150 |; 34 &)
% ( 7 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 145 ( 0 sgn 136 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f9,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X0,X2) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f12,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f13,conjecture,
! [X0,X1] : powerset(set_intersection2(X0,X1)) = set_intersection2(powerset(X0),powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_zfmisc_1) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] : powerset(set_intersection2(X0,X1)) = set_intersection2(powerset(X0),powerset(X1)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f18,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f23,plain,
? [X0,X1] : powerset(set_intersection2(X0,X1)) != set_intersection2(powerset(X0),powerset(X1)),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK0(X0,X1),X0)
| ~ in(sK0(X0,X1),X1) )
& ( subset(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| ~ in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK4(X0,X1),X1)
| ~ in(sK4(X0,X1),X0) )
& ( in(sK4(X0,X1),X1)
| in(sK4(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f33]) ).
fof(f35,plain,
powerset(set_intersection2(sK5,sK6)) != set_intersection2(powerset(sK5),powerset(sK6)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f23]) ).
fof(f37,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
! [X2,X0,X1] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f55,plain,
! [X0,X1] :
( in(sK4(X0,X1),X1)
| in(sK4(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f56,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| X0 = X1
| ~ in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
powerset(set_intersection2(sK5,sK6)) != set_intersection2(powerset(sK5),powerset(sK6)),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f39]) ).
fof(f59,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f44]) ).
fof(f61,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f43]) ).
fof(f62,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f42]) ).
fof(f63,definition,
sF7 = set_intersection2(sK5,sK6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f64,plain,
set_intersection2(sK5,sK6) = sF7,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF8 = powerset(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f66,plain,
powerset(sF7) = sF8,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF9 = powerset(sK5),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f68,plain,
powerset(sK5) = sF9,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF10 = powerset(sK6),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f70,plain,
powerset(sK6) = sF10,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF11 = set_intersection2(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f72,plain,
set_intersection2(sF9,sF10) = sF11,
inference(reorient_equations,[],[f71]) ).
fof(f73,plain,
sF8 != sF11,
inference(definition_folding,[],[f57,f72,f70,f68,f66,f64]) ).
fof(f75,plain,
! [X0] :
( ~ in(X0,sF9)
| subset(X0,sK5) ),
inference(superposition,[],[f59,f68]) ).
fof(f76,plain,
! [X0] :
( ~ subset(X0,sK5)
| in(X0,sF9) ),
inference(superposition,[],[f58,f68]) ).
fof(f77,plain,
! [X0] :
( ~ in(X0,sF10)
| subset(X0,sK6) ),
inference(superposition,[],[f59,f70]) ).
fof(f78,plain,
! [X0] :
( ~ subset(X0,sK6)
| in(X0,sF10) ),
inference(superposition,[],[f58,f70]) ).
fof(f79,plain,
! [X0] :
( ~ in(X0,sF11)
| in(X0,sF9) ),
inference(superposition,[],[f61,f72]) ).
fof(f81,plain,
! [X0] :
( ~ in(X0,sF11)
| in(X0,sF10) ),
inference(superposition,[],[f62,f72]) ).
fof(f83,plain,
! [X0] :
( ~ in(X0,sF8)
| subset(X0,sF7) ),
inference(superposition,[],[f59,f66]) ).
fof(f84,plain,
! [X0] :
( ~ subset(X0,sF7)
| in(X0,sF8) ),
inference(superposition,[],[f58,f66]) ).
fof(f87,plain,
! [X0] :
( ~ in(X0,sF10)
| ~ in(X0,sF9)
| in(X0,sF11) ),
inference(superposition,[],[f60,f72]) ).
fof(f93,plain,
subset(sF7,sK5),
inference(superposition,[],[f52,f64]) ).
fof(f104,plain,
! [X0] :
( in(sK4(X0,sF11),sF10)
| in(sK4(X0,sF11),X0)
| sF11 = X0 ),
inference(resolution,[],[f55,f81]) ).
fof(f105,plain,
! [X0] :
( in(sK4(X0,sF11),sF9)
| in(sK4(X0,sF11),X0)
| sF11 = X0 ),
inference(resolution,[],[f55,f79]) ).
fof(f112,plain,
! [X0] :
( subset(sK4(sF8,X0),sF7)
| in(sK4(sF8,X0),X0)
| sF8 = X0 ),
inference(resolution,[],[f55,f83]) ).
fof(f120,plain,
! [X0] :
( ~ subset(X0,sK6)
| ~ subset(X0,sK5)
| subset(X0,sF7) ),
inference(superposition,[],[f53,f64]) ).
fof(f271,plain,
! [X0] :
( subset(sK4(X0,sF11),sK6)
| in(sK4(X0,sF11),X0)
| sF11 = X0 ),
inference(resolution,[],[f104,f77]) ).
fof(f277,plain,
( in(sK4(sF8,sF11),sF10)
| sF8 = sF11
| subset(sK4(sF8,sF11),sF7) ),
inference(resolution,[],[f104,f83]) ).
fof(f283,plain,
( in(sK4(sF8,sF11),sF10)
| subset(sK4(sF8,sF11),sF7) ),
inference(forward_subsumption_resolution,[],[f277,f73]) ).
fof(f378,definition,
( spl12_26
<=> subset(sK4(sF8,sF11),sF7) ),
introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition]) ).
fof(f380,plain,
( subset(sK4(sF8,sF11),sF7)
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,definition,
( spl12_27
<=> in(sK4(sF8,sF11),sF10) ),
introduced(definition,[new_symbols(definition,[spl12_27])],[avatar_definition]) ).
fof(f383,plain,
( ~ in(sK4(sF8,sF11),sF10)
| spl12_27 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( in(sK4(sF8,sF11),sF10)
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,plain,
( spl12_26
| spl12_27 ),
inference(avatar_split_clause,[],[f283,f382,f378]) ).
fof(f392,plain,
! [X0] :
( subset(sK4(X0,sF11),sK5)
| in(sK4(X0,sF11),X0)
| sF11 = X0 ),
inference(resolution,[],[f105,f75]) ).
fof(f422,plain,
! [X0] :
( ~ subset(X0,sF7)
| subset(X0,sK5) ),
inference(resolution,[],[f54,f93]) ).
fof(f438,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X1),
inference(superposition,[],[f52,f37]) ).
fof(f451,plain,
subset(sF7,sK6),
inference(superposition,[],[f438,f64]) ).
fof(f458,plain,
! [X0] :
( ~ subset(X0,sF7)
| subset(X0,sK6) ),
inference(resolution,[],[f451,f54]) ).
fof(f480,plain,
! [X0] :
( in(sK4(X0,sF11),X0)
| sF11 = X0
| ~ subset(sK4(X0,sF11),sK5)
| subset(sK4(X0,sF11),sF7) ),
inference(resolution,[],[f271,f120]) ).
fof(f490,plain,
! [X0] :
( subset(sK4(X0,sF11),sF7)
| in(sK4(X0,sF11),X0)
| sF11 = X0 ),
inference(forward_subsumption_resolution,[],[f480,f392]) ).
fof(f502,plain,
! [X0] :
( subset(sK4(sF8,X0),sK5)
| in(sK4(sF8,X0),X0)
| sF8 = X0 ),
inference(resolution,[],[f112,f422]) ).
fof(f567,plain,
! [X0] :
( in(sK4(sF8,X0),sF9)
| in(sK4(sF8,X0),X0)
| sF8 = X0 ),
inference(resolution,[],[f502,f76]) ).
fof(f589,plain,
( in(sK4(sF8,sF11),sF9)
| sF8 = sF11
| in(sK4(sF8,sF11),sF9) ),
inference(resolution,[],[f567,f79]) ).
fof(f591,plain,
( in(sK4(sF8,sF11),sF9)
| sF8 = sF11 ),
inference(duplicate_literal_removal,[],[f589]) ).
fof(f598,plain,
in(sK4(sF8,sF11),sF9),
inference(forward_subsumption_resolution,[],[f591,f73]) ).
fof(f647,plain,
! [X0] :
( in(sK4(X0,sF11),sF8)
| in(sK4(X0,sF11),X0)
| sF11 = X0 ),
inference(resolution,[],[f490,f84]) ).
fof(f659,plain,
( in(sK4(sF8,sF11),sF8)
| sF8 = sF11 ),
inference(factoring,[],[f647]) ).
fof(f1059,plain,
in(sK4(sF8,sF11),sF8),
inference(forward_subsumption_resolution,[],[f659,f73]) ).
fof(f2162,plain,
( subset(sK4(sF8,sF11),sK6)
| ~ spl12_26 ),
inference(resolution,[],[f380,f458]) ).
fof(f2170,plain,
( in(sK4(sF8,sF11),sF10)
| ~ spl12_26 ),
inference(resolution,[],[f2162,f78]) ).
fof(f2173,plain,
( $false
| ~ spl12_26
| spl12_27 ),
inference(forward_subsumption_resolution,[],[f2170,f383]) ).
fof(f2174,plain,
( ~ spl12_26
| spl12_27 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2175,plain,
( ~ in(sK4(sF8,sF11),sF9)
| in(sK4(sF8,sF11),sF11)
| ~ spl12_27 ),
inference(resolution,[],[f384,f87]) ).
fof(f2178,plain,
( in(sK4(sF8,sF11),sF11)
| ~ spl12_27 ),
inference(forward_subsumption_resolution,[],[f2175,f598]) ).
fof(f2179,plain,
( sF8 = sF11
| ~ in(sK4(sF8,sF11),sF8)
| ~ spl12_27 ),
inference(resolution,[],[f2178,f56]) ).
fof(f2183,plain,
( ~ in(sK4(sF8,sF11),sF8)
| ~ spl12_27 ),
inference(forward_subsumption_resolution,[],[f2179,f73]) ).
fof(f2184,plain,
( $false
| ~ spl12_27 ),
inference(forward_subsumption_resolution,[],[f2183,f1059]) ).
fof(f2185,plain,
~ spl12_27,
inference(avatar_contradiction_clause,[],[f2184]) ).
cnf(s13,plain,
( spl12_26
| spl12_27 ),
inference(sat_conversion,[],[f385]) ).
cnf(s73,plain,
( ~ spl12_26
| spl12_27 ),
inference(sat_conversion,[],[f2174]) ).
cnf(s74,plain,
~ spl12_27,
inference(sat_conversion,[],[f2185]) ).
cnf(s75,plain,
~ spl12_26,
inference(rat,[],[s73,s74]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s13,s74,s75]) ).
fof(f2186,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n019.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 03:15:43 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 9.17/2.16 % (3626343)Detected formulas, will run a generic FOF schedule.
% 9.17/2.16 % (3626354)dis-21_1_sil=8000:lcm=predicate:random_seed=1562549752: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)
% 9.17/2.16 % (3626348)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=2996911458:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.17/2.16 % (3626352)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1224054979:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.17/2.16 % (3626349)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=4029047805:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.17/2.16 % (3626350)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=346000588:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.17/2.16 % (3626351)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2330493945:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.17/2.16 % (3626351)Refutation not found, incomplete strategy
% 9.17/2.16 % (3626351)------------------------------
% 9.17/2.16 % (3626351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626351)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626351)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.16 % (3626351)Time elapsed: 0.001 s
% 9.17/2.16 % (3626351)Peak memory usage: 88 MB
% 9.17/2.16 % (3626354)Instruction limit reached!
% 9.17/2.16 % (3626354)------------------------------
% 9.17/2.16 % (3626354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626354)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626354)Termination reason: Instruction limit
% 9.17/2.16 % (3626354)Termination phase: Saturation
% 9.17/2.16 % (3626354)Time elapsed: 0.045 s
% 9.17/2.16 % (3626354)Peak memory usage: 89 MB
% 9.17/2.16 % (3626354)Instructions burned: 129 (million)
% 9.17/2.16 % (3626353)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4218903494:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.17/2.16 % (3626352)Instruction limit reached!
% 9.17/2.16 % (3626352)------------------------------
% 9.17/2.16 % (3626352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626352)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626352)Termination reason: Instruction limit
% 9.17/2.16 % (3626352)Termination phase: Saturation
% 9.17/2.16 % (3626352)Time elapsed: 0.074 s
% 9.17/2.16 % (3626352)Peak memory usage: 88 MB
% 9.17/2.16 % (3626352)Instructions burned: 120 (million)
% 9.17/2.16 % (3626353)Instruction limit reached!
% 9.17/2.16 % (3626353)------------------------------
% 9.17/2.16 % (3626353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626353)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626353)Termination reason: Instruction limit
% 9.17/2.16 % (3626353)Termination phase: Saturation
% 9.17/2.16 % (3626353)Time elapsed: 0.092 s
% 9.17/2.16 % (3626353)Peak memory usage: 89 MB
% 9.17/2.16 % (3626353)Instructions burned: 140 (million)
% 9.17/2.16 % (3626361)lrs+10_1_sil=8000:sp=occurrence:random_seed=1353886686:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.17/2.16 % (3626361)Instruction limit reached!
% 9.17/2.16 % (3626361)------------------------------
% 9.17/2.16 % (3626361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626361)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626361)Termination reason: Instruction limit
% 9.17/2.16 % (3626361)Termination phase: Saturation
% 9.17/2.16 % (3626361)Time elapsed: 0.090 s
% 9.17/2.16 % (3626361)Peak memory usage: 90 MB
% 9.17/2.16 % (3626361)Instructions burned: 288 (million)
% 9.17/2.16 % (3626363)lrs+10_1_sil=32000:urr=on:br=off:random_seed=928573146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.17/2.16 % (3626351)------------------------------
% 9.17/2.16 % (3626351)------------------------------
% 9.17/2.16 % (3626364)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1005492496:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.17/2.16 % (3626363)Instruction limit reached!
% 9.17/2.16 % (3626363)------------------------------
% 9.17/2.16 % (3626363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626363)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626363)Termination reason: Instruction limit
% 9.17/2.16 % (3626363)Termination phase: Saturation
% 9.17/2.16 % (3626363)Time elapsed: 0.083 s
% 9.17/2.16 % (3626363)Peak memory usage: 90 MB
% 9.17/2.16 % (3626363)Instructions burned: 158 (million)
% 9.17/2.16 % (3626366)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2240106556:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.17/2.16 % (3626366)Instruction limit reached!
% 9.17/2.16 % (3626366)------------------------------
% 9.17/2.16 % (3626366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626366)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626366)Termination reason: Instruction limit
% 9.17/2.16 % (3626366)Termination phase: Saturation
% 9.17/2.16 % (3626366)Time elapsed: 0.072 s
% 9.17/2.16 % (3626366)Peak memory usage: 91 MB
% 9.17/2.16 % (3626366)Instructions burned: 249 (million)
% 9.17/2.16 % (3626368)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3146183926:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.17/2.16 % (3626368)Refutation not found, incomplete strategy
% 9.17/2.16 % (3626368)------------------------------
% 9.17/2.16 % (3626368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626368)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626368)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.16 % (3626368)Time elapsed: 0.002 s
% 9.17/2.16 % (3626368)Peak memory usage: 88 MB
% 9.17/2.16 % (3626368)Instructions burned: 1 (million)
% 9.17/2.16 % (3626364)Instruction limit reached!
% 9.17/2.16 % (3626364)------------------------------
% 9.17/2.16 % (3626364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626364)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626364)Termination reason: Instruction limit
% 9.17/2.16 % (3626364)Termination phase: Saturation
% 9.17/2.16 % (3626364)Time elapsed: 0.202 s
% 9.17/2.16 % (3626364)Peak memory usage: 91 MB
% 9.17/2.16 % (3626364)Instructions burned: 325 (million)
% 9.17/2.16 % (3626370)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=105360561:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.17/2.16 % (3626372)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1799066196:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.17/2.16 % (3626372)Instruction limit reached!
% 9.17/2.16 % (3626372)------------------------------
% 9.17/2.16 % (3626372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626372)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626372)Termination reason: Instruction limit
% 9.17/2.16 % (3626372)Termination phase: Saturation
% 9.17/2.16 % (3626372)Time elapsed: 0.039 s
% 9.17/2.16 % (3626372)Peak memory usage: 89 MB
% 9.17/2.16 % (3626372)Instructions burned: 115 (million)
% 9.17/2.16 % (3626374)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1184460032:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.17/2.16 % (3626374)Refutation not found, incomplete strategy
% 9.17/2.16 % (3626374)------------------------------
% 9.17/2.16 % (3626374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626374)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626374)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.16 % (3626374)Time elapsed: 0.001 s
% 9.17/2.16 % (3626374)Peak memory usage: 88 MB
% 9.17/2.16 % (3626368)------------------------------
% 9.17/2.16 % (3626368)------------------------------
% 9.17/2.16 % (3626378)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3640286145:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.17/2.16 % (3626378)Instruction limit reached!
% 9.17/2.16 % (3626378)------------------------------
% 9.17/2.16 % (3626378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626378)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626378)Termination reason: Instruction limit
% 9.17/2.16 % (3626378)Termination phase: Saturation
% 9.17/2.16 % (3626378)Time elapsed: 0.033 s
% 9.17/2.16 % (3626378)Peak memory usage: 88 MB
% 9.17/2.16 % (3626378)Instructions burned: 115 (million)
% 9.17/2.16 % (3626414)lrs+10_1_sil=8000:sp=occurrence:random_seed=2414681494:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.17/2.16 % (3626348)First to succeed.
% 9.17/2.16 % (3626434)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1571482358:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.17/2.16 % (3626348)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3626343"
% 9.17/2.16 % (3626434)Refutation not found, incomplete strategy
% 9.17/2.16 % (3626434)------------------------------
% 9.17/2.16 % (3626434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.16 % (3626434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.16 % (3626434)CaDiCaL version: 2.1.3
% 9.17/2.16 % (3626434)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.16 % (3626434)Time elapsed: 0.001 s
% 9.17/2.16 % (3626434)Peak memory usage: 88 MB
% 9.17/2.16 % (3626434)Instructions burned: 1 (million)
% 9.17/2.16 % (3626374)------------------------------
% 9.17/2.16 % (3626374)------------------------------
% 9.17/2.16 % (3626434)------------------------------
% 9.17/2.16 % (3626434)------------------------------
% 9.17/2.16 % (3626465)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=169003540:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.17/2.16 % (3626348)Refutation found. Thanks to Tanya!
% 9.17/2.16 % SZS status Theorem for theBenchmark
% 9.17/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.58/2.35 % (3626348)------------------------------
% 9.58/2.35 % (3626348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.35 % (3626348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.35 % (3626348)CaDiCaL version: 2.1.3
% 9.58/2.35 % (3626348)Termination reason: Refutation
% 9.58/2.35 % (3626348)Time elapsed: 0.844 s
% 9.58/2.35 % (3626348)Peak memory usage: 131 MB
% 9.58/2.35 % (3626348)Instructions burned: 1250 (million)
% 9.58/2.35 % (3626348)------------------------------
% 9.58/2.35 % (3626348)------------------------------
% 9.58/2.35 % (3626343)Success in time 1.271 s
% 9.58/2.35 % Vampire exiting
%------------------------------------------------------------------------------