%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU138+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:47:22 PM UTC 2026
% Result : Theorem 2.99s 6.08s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 88 ( 12 unt; 7 def)
% Number of atoms : 311 ( 36 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 361 ( 138 ~; 155 |; 53 &)
% ( 14 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 127 ( 0 sgn 117 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f8,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,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f44,conjecture,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f75,plain,
? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1)),
inference(ennf_transformation,[],[f45]) ).
fof(f82,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f83,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f82]) ).
fof(f91,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f92,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f92]) ).
fof(f94,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,[],[f8]) ).
fof(f95,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,[],[f94]) ).
fof(f96,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,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X0)
& in(sK3(X0,X1,X2),X1) )
| in(sK3(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,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X0)
& ~ in(sK4(X0,X1,X2),X1) )
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f100]) ).
fof(f110,plain,
set_intersection2(sK9,sK10) != set_difference(sK9,set_difference(sK9,sK10)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f75]) ).
fof(f117,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f128,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f130,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f135,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f136,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f137,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f177,plain,
set_intersection2(sK9,sK10) != set_difference(sK9,set_difference(sK9,sK10)),
inference(cnf_transformation,[],[f110]) ).
fof(f192,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f131]) ).
fof(f193,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f130]) ).
fof(f194,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f129]) ).
fof(f195,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f137]) ).
fof(f196,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f136]) ).
fof(f197,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f135]) ).
fof(f198,definition,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ12_eqProxy])],[equality_proxy_definition]) ).
fof(f201,plain,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f117,f198]) ).
fof(f231,plain,
~ sQ12_eqProxy(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),
inference(equality_proxy_replacement,[],[f177,f198]) ).
fof(f332,plain,
( ~ subset(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10)))
| ~ subset(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)) ),
inference(resolution,[],[f201,f231]) ).
fof(f338,definition,
( spl13_6
<=> subset(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f339,plain,
( ~ subset(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10)))
| spl13_6 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f341,definition,
( spl13_7
<=> subset(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f342,plain,
( ~ subset(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10))
| spl13_7 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( ~ spl13_7
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f332,f338,f341]) ).
fof(f1210,plain,
( ~ in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10))
| spl13_7 ),
inference(resolution,[],[f342,f128]) ).
fof(f1211,plain,
( in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| spl13_7 ),
inference(resolution,[],[f342,f127]) ).
fof(f1244,plain,
( ~ in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,sK10))
| spl13_7 ),
inference(resolution,[],[f1211,f197]) ).
fof(f1245,plain,
( in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| spl13_7 ),
inference(resolution,[],[f1211,f196]) ).
fof(f1575,plain,
( ~ in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| ~ in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10)
| spl13_7 ),
inference(resolution,[],[f192,f1210]) ).
fof(f1586,definition,
( spl13_21
<=> in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f1589,definition,
( spl13_22
<=> in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9) ),
introduced(definition,[new_symbols(definition,[spl13_22])],[avatar_definition]) ).
fof(f1590,plain,
( ~ in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| spl13_22 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1591,plain,
( ~ spl13_21
| ~ spl13_22
| spl13_7 ),
inference(avatar_split_clause,[],[f1575,f341,f1589,f1586]) ).
fof(f1592,plain,
( $false
| spl13_7
| spl13_22 ),
inference(resolution,[],[f1590,f1245]) ).
fof(f1593,plain,
( spl13_7
| spl13_22 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1754,plain,
( ~ in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| in(sK2(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10)
| spl13_7 ),
inference(resolution,[],[f195,f1244]) ).
fof(f1765,plain,
( spl13_21
| ~ spl13_22
| spl13_7 ),
inference(avatar_split_clause,[],[f1754,f341,f1589,f1586]) ).
fof(f1767,plain,
( ~ in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),set_difference(sK9,set_difference(sK9,sK10)))
| spl13_6 ),
inference(resolution,[],[f339,f128]) ).
fof(f1768,plain,
( in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),set_intersection2(sK9,sK10))
| spl13_6 ),
inference(resolution,[],[f339,f127]) ).
fof(f1784,plain,
( in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),sK10)
| spl13_6 ),
inference(resolution,[],[f1768,f194]) ).
fof(f1785,plain,
( in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),sK9)
| spl13_6 ),
inference(resolution,[],[f1768,f193]) ).
fof(f1788,plain,
( ~ in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),sK9)
| in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),set_difference(sK9,sK10))
| spl13_6 ),
inference(resolution,[],[f1767,f195]) ).
fof(f1790,definition,
( spl13_25
<=> in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),set_difference(sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_25])],[avatar_definition]) ).
fof(f1791,plain,
( in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),set_difference(sK9,sK10))
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1793,definition,
( spl13_26
<=> in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),sK9) ),
introduced(definition,[new_symbols(definition,[spl13_26])],[avatar_definition]) ).
fof(f1794,plain,
( ~ in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),sK9)
| spl13_26 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f1795,plain,
( spl13_25
| ~ spl13_26
| spl13_6 ),
inference(avatar_split_clause,[],[f1788,f338,f1793,f1790]) ).
fof(f1816,plain,
( $false
| spl13_6
| spl13_26 ),
inference(resolution,[],[f1794,f1785]) ).
fof(f1817,plain,
( spl13_6
| spl13_26 ),
inference(avatar_contradiction_clause,[],[f1816]) ).
fof(f1830,plain,
( ~ in(sK2(set_intersection2(sK9,sK10),set_difference(sK9,set_difference(sK9,sK10))),sK10)
| ~ spl13_25 ),
inference(resolution,[],[f1791,f197]) ).
fof(f1984,plain,
( $false
| spl13_6
| ~ spl13_25 ),
inference(resolution,[],[f1830,f1784]) ).
fof(f1985,plain,
( spl13_6
| ~ spl13_25 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
cnf(s8,plain,
( ~ spl13_6
| ~ spl13_7 ),
inference(sat_conversion,[],[f344]) ).
cnf(s20,plain,
( spl13_7
| ~ spl13_21
| ~ spl13_22 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s21,plain,
( spl13_7
| spl13_22 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s23,plain,
( spl13_7
| spl13_21
| ~ spl13_22 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s24,plain,
( spl13_6
| spl13_25
| ~ spl13_26 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s25,plain,
( spl13_6
| spl13_26 ),
inference(sat_conversion,[],[f1817]) ).
cnf(s30,plain,
( spl13_6
| ~ spl13_25 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s34,plain,
spl13_6,
inference(rat,[],[s24,s25,s30]) ).
cnf(s35,plain,
~ spl13_7,
inference(rat,[],[s8,s34]) ).
cnf(s36,plain,
spl13_22,
inference(rat,[],[s21,s35]) ).
cnf(s37,plain,
~ spl13_21,
inference(rat,[],[s20,s36,s35]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s23,s35,s36,s37]) ).
fof(f1986,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU138+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.40 % Computer : n018.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.16/5.40 % CPULimit : 300
% 0.16/5.40 % WCLimit : 300
% 0.16/5.40 % DateTime : Mon Sep 28 03:44:16 UTC 2026
% 0.16/5.40 % CPUTime :
% 0.16/5.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 2.99/6.08 % (2973884)Detected formulas, will run a generic FOF schedule.
% 2.99/6.08 % (2973894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2254964480:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/6.08 % (2973889)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=726248026:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/6.08 % (2973895)dis-21_1_sil=8000:lcm=predicate:random_seed=3445643231: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)
% 2.99/6.08 % (2973891)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=2482059928:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/6.08 % (2973893)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1643225499:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/6.08 % (2973892)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1124787336:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/6.08 % (2973890)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=3716901625:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/6.08 % (2973895)First to succeed.
% 2.99/6.08 % (2973895)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2973884"
% 2.99/6.08 % (2973892)Instruction limit reached!
% 2.99/6.08 % (2973892)------------------------------
% 2.99/6.08 % (2973892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/6.08 % (2973892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/6.08 % (2973892)CaDiCaL version: 2.1.3
% 2.99/6.08 % (2973892)Termination reason: Instruction limit
% 2.99/6.08 % (2973892)Termination phase: Saturation
% 2.99/6.08 % (2973892)Time elapsed: 0.071 s
% 2.99/6.08 % (2973892)Peak memory usage: 89 MB
% 2.99/6.08 % (2973892)Instructions burned: 110 (million)
% 2.99/6.08 % (2973893)Instruction limit reached!
% 2.99/6.08 % (2973893)------------------------------
% 2.99/6.08 % (2973893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/6.08 % (2973893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/6.08 % (2973893)CaDiCaL version: 2.1.3
% 2.99/6.08 % (2973893)Termination reason: Instruction limit
% 2.99/6.08 % (2973893)Termination phase: Saturation
% 2.99/6.08 % (2973893)Time elapsed: 0.076 s
% 2.99/6.08 % (2973893)Peak memory usage: 88 MB
% 2.99/6.08 % (2973893)Instructions burned: 119 (million)
% 2.99/6.08 % (2973894)Instruction limit reached!
% 2.99/6.08 % (2973894)------------------------------
% 2.99/6.08 % (2973894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/6.08 % (2973894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/6.08 % (2973894)CaDiCaL version: 2.1.3
% 2.99/6.08 % (2973894)Termination reason: Instruction limit
% 2.99/6.08 % (2973894)Termination phase: Saturation
% 2.99/6.08 % (2973894)Time elapsed: 0.088 s
% 2.99/6.08 % (2973894)Peak memory usage: 89 MB
% 2.99/6.08 % (2973894)Instructions burned: 139 (million)
% 2.99/6.08 % (2973904)lrs+10_1_sil=32000:urr=on:br=off:random_seed=627235904:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.99/6.08 % (2973903)lrs+10_1_sil=8000:sp=occurrence:random_seed=2889629600:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.99/6.08 % (2973905)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3060094784:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.99/6.08 % (2973895)Refutation found. Thanks to Tanya!
% 2.99/6.08 % SZS status Theorem for theBenchmark
% 2.99/6.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/6.28 % (2973895)------------------------------
% 3.54/6.28 % (2973895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/6.28 % (2973895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/6.28 % (2973895)CaDiCaL version: 2.1.3
% 3.54/6.28 % (2973895)Termination reason: Refutation
% 3.54/6.28 % (2973895)Time elapsed: 0.033 s
% 3.54/6.28 % (2973895)Peak memory usage: 89 MB
% 3.54/6.28 % (2973895)Instructions burned: 48 (million)
% 3.54/6.28 % (2973895)------------------------------
% 3.54/6.28 % (2973895)------------------------------
% 3.54/6.28 % (2973884)Success in time 0.448 s
% 3.54/6.28 % Vampire exiting
%------------------------------------------------------------------------------