%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU265+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:48:04 PM UTC 2026
% Result : Theorem 5.68s 1.42s
% Output : Refutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 126 ( 31 unt; 11 def)
% Number of atoms : 344 ( 65 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 375 ( 157 ~; 152 |; 41 &)
% ( 14 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-3 aty)
% Number of variables : 209 ( 0 sgn 180 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f15,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f44,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f49,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f58,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f110,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f182,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f186,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f201,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f229,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f236,conjecture,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X1,X0)
=> ( ! [X3] :
~ ( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X2) )
<=> relation_dom_as_subset(X1,X0,X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_relset_1) ).
fof(f237,negated_conjecture,
~ ! [X0,X1,X2] :
( relation_of2_as_subset(X2,X1,X0)
=> ( ! [X3] :
~ ( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X2) )
<=> relation_dom_as_subset(X1,X0,X2) = X1 ) ),
inference(negated_conjecture,[status(cth)],[f236]) ).
fof(f311,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f353,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f384,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f388,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f429,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f484,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f182]) ).
fof(f503,plain,
! [X0,X1,X2] :
( ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f201]) ).
fof(f539,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f229]) ).
fof(f540,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f539]) ).
fof(f550,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ? [X4] : in(ordered_pair(X3,X4),X2) )
<~> relation_dom_as_subset(X1,X0,X2) = X1 )
& relation_of2_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f237]) ).
fof(f678,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f679,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f678]) ).
fof(f758,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,[],[f384]) ).
fof(f759,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,[],[f758]) ).
fof(f760,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK47(X0,X1),X1)
& in(sK47(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X0,X1))],[f759]) ).
fof(f771,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f388]) ).
fof(f772,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f771]) ).
fof(f773,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK51(X0,X1),X3),X0)
| ~ in(sK51(X0,X1),X1) )
& ( in(ordered_pair(sK51(X0,X1),sK52(X0,X1)),X0)
| in(sK51(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK53(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52,sK53]),skolemize(X2,sK51(X0,X1)),skolemize(X4,sK52(X0,X1)),skolemize(X7,sK53(X0,X5))],[f772]) ).
fof(f860,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f186]) ).
fof(f877,plain,
? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X2) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X3] :
( ~ in(X3,X1)
| ? [X4] : in(ordered_pair(X3,X4),X2) ) )
& relation_of2_as_subset(X2,X1,X0) ),
inference(nnf_transformation,[],[f550]) ).
fof(f878,plain,
? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X2) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X3] :
( ~ in(X3,X1)
| ? [X4] : in(ordered_pair(X3,X4),X2) ) )
& relation_of2_as_subset(X2,X1,X0) ),
inference(flattening,[],[f877]) ).
fof(f879,plain,
? [X0,X1,X2] :
( ( relation_dom_as_subset(X1,X0,X2) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X2) ) )
& ( relation_dom_as_subset(X1,X0,X2) = X1
| ! [X5] :
( ~ in(X5,X1)
| ? [X6] : in(ordered_pair(X5,X6),X2) ) )
& relation_of2_as_subset(X2,X1,X0) ),
inference(rectify,[],[f878]) ).
fof(f880,plain,
( ( sK112 != relation_dom_as_subset(sK112,sK111,sK113)
| ( in(sK114,sK112)
& ! [X4] : ~ in(ordered_pair(sK114,X4),sK113) ) )
& ( sK112 = relation_dom_as_subset(sK112,sK111,sK113)
| ! [X5] :
( ~ in(X5,sK112)
| in(ordered_pair(X5,sK115(X5)),sK113) ) )
& relation_of2_as_subset(sK113,sK112,sK111) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111,sK112,sK113,sK114,sK115]),skolemize(X0,sK111),skolemize(X1,sK112),skolemize(X2,sK113),skolemize(X3,sK114),skolemize(X6,sK115(X5))],[f879]) ).
fof(f935,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f353]) ).
fof(f955,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f679]) ).
fof(f1087,plain,
! [X0,X1] :
( in(sK47(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f760]) ).
fof(f1088,plain,
! [X0,X1] :
( ~ in(sK47(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f760]) ).
fof(f1107,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK53(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f773]) ).
fof(f1147,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f429]) ).
fof(f1369,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom(X2) = relation_dom_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f484]) ).
fof(f1373,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f860]) ).
fof(f1396,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_dom(X2),X0) ),
inference(cnf_transformation,[],[f503]) ).
fof(f1436,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f540]) ).
fof(f1446,plain,
relation_of2_as_subset(sK113,sK112,sK111),
inference(cnf_transformation,[],[f880]) ).
fof(f1447,plain,
! [X5] :
( sK112 = relation_dom_as_subset(sK112,sK111,sK113)
| ~ in(X5,sK112)
| in(ordered_pair(X5,sK115(X5)),sK113) ),
inference(cnf_transformation,[],[f880]) ).
fof(f1448,plain,
! [X4] :
( sK112 != relation_dom_as_subset(sK112,sK111,sK113)
| ~ in(ordered_pair(sK114,X4),sK113) ),
inference(cnf_transformation,[],[f880]) ).
fof(f1449,plain,
( sK112 != relation_dom_as_subset(sK112,sK111,sK113)
| in(sK114,sK112) ),
inference(cnf_transformation,[],[f880]) ).
fof(f1576,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f311]) ).
fof(f1615,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1147,f1576]) ).
fof(f1677,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK53(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f1107,f1615]) ).
fof(f1760,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f1436,f1615]) ).
fof(f1762,plain,
! [X4] :
( sK112 != relation_dom_as_subset(sK112,sK111,sK113)
| ~ in(unordered_pair(unordered_pair(sK114,X4),unordered_pair(sK114,sK114)),sK113) ),
inference(definition_unfolding,[],[f1448,f1615]) ).
fof(f1763,plain,
! [X5] :
( sK112 = relation_dom_as_subset(sK112,sK111,sK113)
| ~ in(X5,sK112)
| in(unordered_pair(unordered_pair(X5,sK115(X5)),unordered_pair(X5,X5)),sK113) ),
inference(definition_unfolding,[],[f1447,f1615]) ).
fof(f1873,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK53(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f1677]) ).
fof(f1914,definition,
sF132 = relation_dom_as_subset(sK112,sK111,sK113),
introduced(definition,[new_symbols(definition,[sF132])],[function_definition]) ).
fof(f1915,plain,
relation_dom_as_subset(sK112,sK111,sK113) = sF132,
inference(reorient_equations,[],[f1914]) ).
fof(f1916,plain,
( sK112 != sF132
| in(sK114,sK112) ),
inference(definition_folding,[],[f1449,f1915]) ).
fof(f1917,definition,
! [X4] : sF133(X4) = unordered_pair(sK114,X4),
introduced(definition,[new_symbols(definition,[sF133])],[function_definition]) ).
fof(f1918,plain,
! [X4] : unordered_pair(sK114,X4) = sF133(X4),
inference(reorient_equations,[],[f1917]) ).
fof(f1919,definition,
sF134 = unordered_pair(sK114,sK114),
introduced(definition,[new_symbols(definition,[sF134])],[function_definition]) ).
fof(f1920,plain,
unordered_pair(sK114,sK114) = sF134,
inference(reorient_equations,[],[f1919]) ).
fof(f1921,definition,
! [X4] : sF135(X4) = unordered_pair(sF133(X4),sF134),
introduced(definition,[new_symbols(definition,[sF135])],[function_definition]) ).
fof(f1922,plain,
! [X4] : unordered_pair(sF133(X4),sF134) = sF135(X4),
inference(reorient_equations,[],[f1921]) ).
fof(f1923,plain,
! [X4] :
( sK112 != sF132
| ~ in(sF135(X4),sK113) ),
inference(definition_folding,[],[f1762,f1922,f1920,f1918,f1915]) ).
fof(f1924,definition,
! [X5] : sF136(X5) = unordered_pair(X5,sK115(X5)),
introduced(definition,[new_symbols(definition,[sF136])],[function_definition]) ).
fof(f1925,plain,
! [X5] : unordered_pair(X5,sK115(X5)) = sF136(X5),
inference(reorient_equations,[],[f1924]) ).
fof(f1926,definition,
! [X5] : sF137(X5) = unordered_pair(X5,X5),
introduced(definition,[new_symbols(definition,[sF137])],[function_definition]) ).
fof(f1927,plain,
! [X5] : unordered_pair(X5,X5) = sF137(X5),
inference(reorient_equations,[],[f1926]) ).
fof(f1928,definition,
! [X5] : sF138(X5) = unordered_pair(sF136(X5),sF137(X5)),
introduced(definition,[new_symbols(definition,[sF138])],[function_definition]) ).
fof(f1929,plain,
! [X5] : unordered_pair(sF136(X5),sF137(X5)) = sF138(X5),
inference(reorient_equations,[],[f1928]) ).
fof(f1930,plain,
! [X5] :
( sK112 = sF132
| ~ in(X5,sK112)
| in(sF138(X5),sK113) ),
inference(definition_folding,[],[f1763,f1929,f1927,f1925,f1915]) ).
fof(f1935,definition,
( spl139_1
<=> ! [X5] :
( ~ in(X5,sK112)
| in(sF138(X5),sK113) ) ),
introduced(definition,[new_symbols(definition,[spl139_1])],[avatar_definition]) ).
fof(f1936,plain,
( ! [X5] :
( in(sF138(X5),sK113)
| ~ in(X5,sK112) )
| ~ spl139_1 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1938,definition,
( spl139_2
<=> sK112 = sF132 ),
introduced(definition,[new_symbols(definition,[spl139_2])],[avatar_definition]) ).
fof(f1939,plain,
( sK112 != sF132
| spl139_2 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1940,plain,
( sK112 = sF132
| ~ spl139_2 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1941,plain,
( spl139_1
| spl139_2 ),
inference(avatar_split_clause,[],[f1930,f1938,f1935]) ).
fof(f1943,definition,
( spl139_3
<=> ! [X4] : ~ in(sF135(X4),sK113) ),
introduced(definition,[new_symbols(definition,[spl139_3])],[avatar_definition]) ).
fof(f1944,plain,
( ! [X4] : ~ in(sF135(X4),sK113)
| ~ spl139_3 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1945,plain,
( spl139_3
| ~ spl139_2 ),
inference(avatar_split_clause,[],[f1923,f1938,f1943]) ).
fof(f1947,definition,
( spl139_4
<=> in(sK114,sK112) ),
introduced(definition,[new_symbols(definition,[spl139_4])],[avatar_definition]) ).
fof(f1949,plain,
( in(sK114,sK112)
| ~ spl139_4 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f1950,plain,
( spl139_4
| ~ spl139_2 ),
inference(avatar_split_clause,[],[f1916,f1938,f1947]) ).
fof(f1976,plain,
sF134 = sF133(sK114),
inference(forward_demodulation,[],[f1920,f1918]) ).
fof(f2006,plain,
relation_of2(sK113,sK112,sK111),
inference(resolution,[],[f1373,f1446]) ).
fof(f2019,plain,
relation_dom_as_subset(sK112,sK111,sK113) = relation_dom(sK113),
inference(resolution,[],[f1369,f2006]) ).
fof(f2020,plain,
sF132 = relation_dom(sK113),
inference(forward_demodulation,[],[f2019,f1915]) ).
fof(f2021,plain,
( sK112 = relation_dom(sK113)
| ~ spl139_2 ),
inference(forward_demodulation,[],[f2020,f1940]) ).
fof(f2069,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f935,f1226]) ).
fof(f2071,plain,
relation(sK113),
inference(resolution,[],[f2069,f1446]) ).
fof(f2355,plain,
subset(relation_dom(sK113),sK112),
inference(resolution,[],[f1396,f1446]) ).
fof(f2701,plain,
! [X0,X1] :
( ~ in(unordered_pair(sF136(X0),unordered_pair(X0,X0)),X1)
| in(X0,relation_dom(X1))
| ~ relation(X1) ),
inference(superposition,[],[f1760,f1925]) ).
fof(f2725,plain,
! [X0,X1] :
( ~ in(unordered_pair(sF136(X0),sF137(X0)),X1)
| in(X0,relation_dom(X1))
| ~ relation(X1) ),
inference(forward_demodulation,[],[f2701,f1927]) ).
fof(f2740,plain,
! [X0,X1] :
( ~ in(sF138(X0),X1)
| in(X0,relation_dom(X1))
| ~ relation(X1) ),
inference(forward_demodulation,[],[f2725,f1929]) ).
fof(f3834,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK114,sK53(X0,sK114)),sF133(sK114)),X0)
| ~ in(sK114,relation_dom(X0))
| ~ relation(X0) ),
inference(superposition,[],[f1873,f1918]) ).
fof(f3844,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK114,sK53(X0,sK114)),sF134),X0)
| ~ in(sK114,relation_dom(X0))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f3834,f1976]) ).
fof(f3865,plain,
! [X0] :
( in(unordered_pair(sF133(sK53(X0,sK114)),sF134),X0)
| ~ in(sK114,relation_dom(X0))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f3844,f1918]) ).
fof(f3880,plain,
! [X0] :
( in(sF135(sK53(X0,sK114)),X0)
| ~ in(sK114,relation_dom(X0))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f3865,f1922]) ).
fof(f3907,plain,
( ~ in(sK114,relation_dom(sK113))
| ~ relation(sK113)
| ~ spl139_3 ),
inference(resolution,[],[f3880,f1944]) ).
fof(f3921,plain,
( ~ in(sK114,relation_dom(sK113))
| ~ spl139_3 ),
inference(forward_subsumption_resolution,[],[f3907,f2071]) ).
fof(f3924,plain,
( ~ in(sK114,sK112)
| ~ spl139_2
| ~ spl139_3 ),
inference(forward_demodulation,[],[f3921,f2021]) ).
fof(f3926,plain,
( $false
| ~ spl139_2
| ~ spl139_3
| ~ spl139_4 ),
inference(forward_subsumption_resolution,[],[f3924,f1949]) ).
fof(f3927,plain,
( ~ spl139_2
| ~ spl139_3
| ~ spl139_4 ),
inference(avatar_contradiction_clause,[],[f3926]) ).
fof(f3929,plain,
subset(sF132,sK112),
inference(forward_demodulation,[],[f2355,f2020]) ).
fof(f3934,plain,
( ! [X0] :
( ~ in(X0,sK112)
| in(X0,relation_dom(sK113))
| ~ relation(sK113) )
| ~ spl139_1 ),
inference(resolution,[],[f1936,f2740]) ).
fof(f3956,plain,
( ! [X0] :
( ~ in(X0,sK112)
| in(X0,relation_dom(sK113)) )
| ~ spl139_1 ),
inference(forward_subsumption_resolution,[],[f3934,f2071]) ).
fof(f3959,plain,
( ! [X0] :
( ~ in(X0,sK112)
| in(X0,sF132) )
| ~ spl139_1 ),
inference(forward_demodulation,[],[f3956,f2020]) ).
fof(f3963,plain,
( ! [X0] :
( in(sK47(sK112,X0),sF132)
| subset(sK112,X0) )
| ~ spl139_1 ),
inference(resolution,[],[f3959,f1087]) ).
fof(f4160,plain,
( ~ subset(sK112,sF132)
| sK112 = sF132 ),
inference(resolution,[],[f3929,f955]) ).
fof(f4162,plain,
( ~ subset(sK112,sF132)
| spl139_2 ),
inference(forward_subsumption_resolution,[],[f4160,f1939]) ).
fof(f4202,plain,
( subset(sK112,sF132)
| subset(sK112,sF132)
| ~ spl139_1 ),
inference(resolution,[],[f3963,f1088]) ).
fof(f4206,plain,
( subset(sK112,sF132)
| ~ spl139_1 ),
inference(duplicate_literal_removal,[],[f4202]) ).
fof(f4207,plain,
( $false
| ~ spl139_1
| spl139_2 ),
inference(forward_subsumption_resolution,[],[f4206,f4162]) ).
fof(f4208,plain,
( ~ spl139_1
| spl139_2 ),
inference(avatar_contradiction_clause,[],[f4207]) ).
cnf(s1,plain,
( spl139_1
| spl139_2 ),
inference(sat_conversion,[],[f1941]) ).
cnf(s2,plain,
( ~ spl139_2
| spl139_3 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s3,plain,
( ~ spl139_2
| spl139_4 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s19,plain,
( ~ spl139_2
| ~ spl139_3
| ~ spl139_4 ),
inference(sat_conversion,[],[f3927]) ).
cnf(s60,plain,
( ~ spl139_1
| spl139_2 ),
inference(sat_conversion,[],[f4208]) ).
cnf(s61,plain,
~ spl139_2,
inference(rat,[],[s19,s2,s3]) ).
cnf(s62,plain,
~ spl139_1,
inference(rat,[],[s60,s61]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s1,s61,s62]) ).
fof(f4209,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU265+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 04:23:20 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.07/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/1.42 % (3011920)Detected formulas, will run a generic FOF schedule.
% 5.68/1.42 % (3011930)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3242461223:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.68/1.42 % (3011927)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=3538302939:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.68/1.42 % (3011929)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1380171175:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.68/1.42 % (3011926)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=2898661361:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.68/1.42 % (3011925)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=564358268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.68/1.42 % (3011931)dis-21_1_sil=8000:lcm=predicate:random_seed=3278407840: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)
% 5.68/1.42 % (3011928)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2953856386:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.68/1.42 % (3011928)Instruction limit reached!
% 5.68/1.42 % (3011928)------------------------------
% 5.68/1.42 % (3011928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011928)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011928)Termination reason: Instruction limit
% 5.68/1.42 % (3011928)Termination phase: Saturation
% 5.68/1.42 % (3011928)Time elapsed: 0.038 s
% 5.68/1.42 % (3011928)Peak memory usage: 90 MB
% 5.68/1.42 % (3011928)Instructions burned: 112 (million)
% 5.68/1.42 % (3011929)Instruction limit reached!
% 5.68/1.42 % (3011929)------------------------------
% 5.68/1.42 % (3011929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011929)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011929)Termination reason: Instruction limit
% 5.68/1.42 % (3011929)Termination phase: Saturation
% 5.68/1.42 % (3011929)Time elapsed: 0.040 s
% 5.68/1.42 % (3011929)Peak memory usage: 89 MB
% 5.68/1.42 % (3011929)Instructions burned: 121 (million)
% 5.68/1.42 % (3011931)Instruction limit reached!
% 5.68/1.42 % (3011931)------------------------------
% 5.68/1.42 % (3011931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011931)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011931)Termination reason: Instruction limit
% 5.68/1.42 % (3011931)Termination phase: Saturation
% 5.68/1.42 % (3011931)Time elapsed: 0.041 s
% 5.68/1.42 % (3011931)Peak memory usage: 90 MB
% 5.68/1.42 % (3011931)Instructions burned: 130 (million)
% 5.68/1.42 % (3011930)Instruction limit reached!
% 5.68/1.42 % (3011930)------------------------------
% 5.68/1.42 % (3011930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011930)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011930)Termination reason: Instruction limit
% 5.68/1.42 % (3011930)Termination phase: Saturation
% 5.68/1.42 % (3011930)Time elapsed: 0.066 s
% 5.68/1.42 % (3011930)Peak memory usage: 90 MB
% 5.68/1.42 % (3011930)Instructions burned: 139 (million)
% 5.68/1.42 % (3011940)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1037960215:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.68/1.42 % (3011939)lrs+10_1_sil=8000:sp=occurrence:random_seed=2522666835:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.68/1.42 % (3011941)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3363411135:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 5.68/1.42 % (3011942)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=687063025:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.68/1.42 % (3011940)Instruction limit reached!
% 5.68/1.42 % (3011940)------------------------------
% 5.68/1.42 % (3011940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011940)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011940)Termination reason: Instruction limit
% 5.68/1.42 % (3011940)Termination phase: Saturation
% 5.68/1.42 % (3011940)Time elapsed: 0.049 s
% 5.68/1.42 % (3011940)Peak memory usage: 90 MB
% 5.68/1.42 % (3011940)Instructions burned: 158 (million)
% 5.68/1.42 % (3011939)Instruction limit reached!
% 5.68/1.42 % (3011939)------------------------------
% 5.68/1.42 % (3011939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011939)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011939)Termination reason: Instruction limit
% 5.68/1.42 % (3011939)Termination phase: Saturation
% 5.68/1.42 % (3011939)Time elapsed: 0.105 s
% 5.68/1.42 % (3011939)Peak memory usage: 93 MB
% 5.68/1.42 % (3011939)Instructions burned: 285 (million)
% 5.68/1.42 % (3011942)Instruction limit reached!
% 5.68/1.42 % (3011942)------------------------------
% 5.68/1.42 % (3011942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011942)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011942)Termination reason: Instruction limit
% 5.68/1.42 % (3011942)Termination phase: Saturation
% 5.68/1.42 % (3011942)Time elapsed: 0.083 s
% 5.68/1.42 % (3011942)Peak memory usage: 93 MB
% 5.68/1.42 % (3011942)Instructions burned: 248 (million)
% 5.68/1.42 % (3011941)Instruction limit reached!
% 5.68/1.42 % (3011941)------------------------------
% 5.68/1.42 % (3011941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011941)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011941)Termination reason: Instruction limit
% 5.68/1.42 % (3011941)Termination phase: Saturation
% 5.68/1.42 % (3011941)Time elapsed: 0.123 s
% 5.68/1.42 % (3011941)Peak memory usage: 93 MB
% 5.68/1.42 % (3011941)Instructions burned: 326 (million)
% 5.68/1.42 % (3011947)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=361481121:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.68/1.42 % (3011948)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2084700715:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 5.68/1.42 % (3011949)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1758119747:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.68/1.42 % (3011950)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2324386653:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 5.68/1.42 % (3011949)Instruction limit reached!
% 5.68/1.42 % (3011949)------------------------------
% 5.68/1.42 % (3011949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011949)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011949)Termination reason: Instruction limit
% 5.68/1.42 % (3011949)Termination phase: Saturation
% 5.68/1.42 % (3011949)Time elapsed: 0.038 s
% 5.68/1.42 % (3011949)Peak memory usage: 90 MB
% 5.68/1.42 % (3011949)Instructions burned: 115 (million)
% 5.68/1.42 % (3011950)Instruction limit reached!
% 5.68/1.42 % (3011950)------------------------------
% 5.68/1.42 % (3011950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011950)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011950)Termination reason: Instruction limit
% 5.68/1.42 % (3011950)Termination phase: Saturation
% 5.68/1.42 % (3011950)Time elapsed: 0.038 s
% 5.68/1.42 % (3011950)Peak memory usage: 90 MB
% 5.68/1.42 % (3011950)Instructions burned: 130 (million)
% 5.68/1.42 % (3011947)Instruction limit reached!
% 5.68/1.42 % (3011947)------------------------------
% 5.68/1.42 % (3011947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011947)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011947)Termination reason: Instruction limit
% 5.68/1.42 % (3011947)Termination phase: Saturation
% 5.68/1.42 % (3011947)Time elapsed: 0.104 s
% 5.68/1.42 % (3011947)Peak memory usage: 91 MB
% 5.68/1.42 % (3011947)Instructions burned: 294 (million)
% 5.68/1.42 % (3011955)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1272201034:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.68/1.42 % (3011957)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1524511485:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 5.68/1.42 % (3011956)lrs+10_1_sil=8000:sp=occurrence:random_seed=3605770478:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 5.68/1.42 % (3011925)First to succeed.
% 5.68/1.42 % (3011925)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3011920"
% 5.68/1.42 % (3011926)Also succeeded, but the first one will report.
% 5.68/1.42 % (3011955)Instruction limit reached!
% 5.68/1.42 % (3011955)------------------------------
% 5.68/1.42 % (3011955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011955)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011955)Termination reason: Instruction limit
% 5.68/1.42 % (3011955)Termination phase: Saturation
% 5.68/1.42 % (3011955)Time elapsed: 0.039 s
% 5.68/1.42 % (3011955)Peak memory usage: 89 MB
% 5.68/1.42 % (3011955)Instructions burned: 115 (million)
% 5.68/1.42 % (3011957)Instruction limit reached!
% 5.68/1.42 % (3011957)------------------------------
% 5.68/1.42 % (3011957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.42 % (3011957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.42 % (3011957)CaDiCaL version: 2.1.3
% 5.68/1.42 % (3011957)Termination reason: Instruction limit
% 5.68/1.42 % (3011957)Termination phase: Saturation
% 5.68/1.42 % (3011957)Time elapsed: 0.147 s
% 5.68/1.42 % (3011957)Peak memory usage: 93 MB
% 5.68/1.42 % (3011957)Instructions burned: 437 (million)
% 5.68/1.42 % (3011961)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=601745313:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.68/1.42 % (3011925)Refutation found. Thanks to Tanya!
% 5.68/1.42 % SZS status Theorem for theBenchmark
% 5.68/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 6.33/1.52 % (3011925)------------------------------
% 6.33/1.52 % (3011925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.52 % (3011925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.52 % (3011925)CaDiCaL version: 2.1.3
% 6.33/1.52 % (3011925)Termination reason: Refutation
% 6.33/1.52 % (3011925)Time elapsed: 0.564 s
% 6.33/1.52 % (3011925)Peak memory usage: 138 MB
% 6.33/1.52 % (3011925)Instructions burned: 1557 (million)
% 6.33/1.52 % (3011925)------------------------------
% 6.33/1.52 % (3011925)------------------------------
% 6.33/1.52 % (3011920)Success in time 0.875 s
% 6.33/1.52 % Vampire exiting
%------------------------------------------------------------------------------