%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU214+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 : 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 12:47:46 PM UTC 2026
% Result : Theorem 4.42s 1.26s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 122 ( 30 unt; 6 def)
% Number of atoms : 463 ( 78 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 598 ( 257 ~; 256 |; 60 &)
% ( 12 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-4 aty)
% Number of variables : 207 ( 0 sgn 183 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f34,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f38,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f60,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f73,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f151,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f152,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f151]) ).
fof(f199,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f210,axiom,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f261,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f262,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f261]) ).
fof(f272,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f273,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f272]) ).
fof(f341,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
& in(X0,relation_dom(relation_composition(X2,X1)))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f152]) ).
fof(f342,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
& in(X0,relation_dom(relation_composition(X2,X1)))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f341]) ).
fof(f395,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f210]) ).
fof(f396,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f395]) ).
fof(f468,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,[],[f250]) ).
fof(f469,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,[],[f468]) ).
fof(f470,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK34(X0,X1),X3),X0)
| ~ in(sK34(X0,X1),X1) )
& ( in(ordered_pair(sK34(X0,X1),sK35(X0,X1)),X0)
| in(sK34(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK36(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X2,sK34(X0,X1)),skolemize(X4,sK35(X0,X1)),skolemize(X7,sK36(X0,X5))],[f469]) ).
fof(f485,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) ) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f255]) ).
fof(f486,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X3,X6),X0)
& in(ordered_pair(X6,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ? [X10] :
( in(ordered_pair(X7,X10),X0)
& in(ordered_pair(X10,X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f485]) ).
fof(f487,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK46(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK47(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK46(X0,X1,X2),sK47(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK46(X0,X1,X2),sK48(X0,X1,X2)),X0)
& in(ordered_pair(sK48(X0,X1,X2),sK47(X0,X1,X2)),X1) )
| in(ordered_pair(sK46(X0,X1,X2),sK47(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ( in(ordered_pair(X7,sK49(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK49(X0,X1,X7,X8),X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49]),skolemize(X3,sK46(X0,X1,X2)),skolemize(X4,sK47(X0,X1,X2)),skolemize(X6,sK48(X0,X1,X2)),skolemize(X10,sK49(X0,X1,X7,X8))],[f486]) ).
fof(f521,plain,
( apply(relation_composition(sK66,sK65),sK64) != apply(sK65,apply(sK66,sK64))
& in(sK64,relation_dom(relation_composition(sK66,sK65)))
& relation(sK66)
& function(sK66)
& relation(sK65)
& function(sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64,sK65,sK66]),skolemize(X0,sK64),skolemize(X1,sK65),skolemize(X2,sK66)],[f342]) ).
fof(f542,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1 )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(nnf_transformation,[],[f396]) ).
fof(f543,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1 )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f542]) ).
fof(f650,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK36(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f470]) ).
fof(f672,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f680,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK49(X0,X1,X7,X8),X8),X1)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f487]) ).
fof(f681,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK49(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f487]) ).
fof(f695,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f708,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f709,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f819,plain,
function(sK65),
inference(cnf_transformation,[],[f521]) ).
fof(f820,plain,
relation(sK65),
inference(cnf_transformation,[],[f521]) ).
fof(f821,plain,
function(sK66),
inference(cnf_transformation,[],[f521]) ).
fof(f822,plain,
relation(sK66),
inference(cnf_transformation,[],[f521]) ).
fof(f823,plain,
in(sK64,relation_dom(relation_composition(sK66,sK65))),
inference(cnf_transformation,[],[f521]) ).
fof(f824,plain,
apply(relation_composition(sK66,sK65),sK64) != apply(sK65,apply(sK66,sK64)),
inference(cnf_transformation,[],[f521]) ).
fof(f891,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f199]) ).
fof(f908,plain,
! [X2,X0,X1] :
( apply(X2,X0) = X1
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f543]) ).
fof(f910,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f543]) ).
fof(f923,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f672,f891]) ).
fof(f979,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK36(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f650,f923]) ).
fof(f994,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK49(X0,X1,X7,X8)),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f681,f923,f923]) ).
fof(f995,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK49(X0,X1,X7,X8),X8),unordered_pair(sK49(X0,X1,X7,X8),sK49(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f680,f923,f923]) ).
fof(f1049,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2) ),
inference(definition_unfolding,[],[f910,f923]) ).
fof(f1051,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| apply(X2,X0) = X1
| ~ relation(X2)
| ~ function(X2) ),
inference(definition_unfolding,[],[f908,f923]) ).
fof(f1108,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK36(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f979]) ).
fof(f1120,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK49(X0,X1,X7,X8)),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f994]) ).
fof(f1121,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK49(X0,X1,X7,X8),X8),unordered_pair(sK49(X0,X1,X7,X8),sK49(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f995]) ).
fof(f1128,plain,
! [X2,X0] :
( in(unordered_pair(unordered_pair(X0,apply(X2,X0)),unordered_pair(X0,X0)),X2)
| ~ in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(equality_resolution,[],[f1049]) ).
fof(f1129,definition,
sF74 = relation_composition(sK66,sK65),
introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).
fof(f1130,plain,
relation_composition(sK66,sK65) = sF74,
inference(reorient_equations,[],[f1129]) ).
fof(f1131,definition,
sF75 = apply(sF74,sK64),
introduced(definition,[new_symbols(definition,[sF75])],[function_definition]) ).
fof(f1132,plain,
apply(sF74,sK64) = sF75,
inference(reorient_equations,[],[f1131]) ).
fof(f1133,definition,
sF76 = apply(sK66,sK64),
introduced(definition,[new_symbols(definition,[sF76])],[function_definition]) ).
fof(f1134,plain,
apply(sK66,sK64) = sF76,
inference(reorient_equations,[],[f1133]) ).
fof(f1135,definition,
sF77 = apply(sK65,sF76),
introduced(definition,[new_symbols(definition,[sF77])],[function_definition]) ).
fof(f1136,plain,
apply(sK65,sF76) = sF77,
inference(reorient_equations,[],[f1135]) ).
fof(f1137,plain,
sF75 != sF77,
inference(definition_folding,[],[f824,f1136,f1134,f1132,f1130]) ).
fof(f1138,definition,
sF78 = relation_dom(sF74),
introduced(definition,[new_symbols(definition,[sF78])],[function_definition]) ).
fof(f1139,plain,
relation_dom(sF74) = sF78,
inference(reorient_equations,[],[f1138]) ).
fof(f1140,plain,
in(sK64,sF78),
inference(definition_folding,[],[f823,f1139,f1130]) ).
fof(f1148,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK49(X0,X1,X7,X8),X8),unordered_pair(sK49(X0,X1,X7,X8),sK49(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f1121,f695]) ).
fof(f1149,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK49(X0,X1,X7,X8)),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f1120,f695]) ).
fof(f1169,plain,
( function(sF74)
| ~ relation(sK66)
| ~ function(sK66)
| ~ relation(sK65)
| ~ function(sK65) ),
inference(superposition,[],[f708,f1130]) ).
fof(f1170,plain,
( function(sF74)
| ~ function(sK66)
| ~ relation(sK65)
| ~ function(sK65) ),
inference(forward_subsumption_resolution,[],[f1169,f822]) ).
fof(f1171,plain,
( function(sF74)
| ~ relation(sK65)
| ~ function(sK65) ),
inference(forward_subsumption_resolution,[],[f1170,f821]) ).
fof(f1172,plain,
( function(sF74)
| ~ function(sK65) ),
inference(forward_subsumption_resolution,[],[f1171,f820]) ).
fof(f1173,plain,
function(sF74),
inference(forward_subsumption_resolution,[],[f1172,f819]) ).
fof(f1183,definition,
( spl79_1
<=> relation(sF74) ),
introduced(definition,[new_symbols(definition,[spl79_1])],[avatar_definition]) ).
fof(f1184,plain,
( relation(sF74)
| ~ spl79_1 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1185,plain,
( ~ relation(sF74)
| spl79_1 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1237,plain,
( relation(sF74)
| ~ relation(sK66)
| ~ function(sK66)
| ~ relation(sK65)
| ~ function(sK65) ),
inference(superposition,[],[f709,f1130]) ).
fof(f1238,plain,
( ~ relation(sK66)
| ~ function(sK66)
| ~ relation(sK65)
| ~ function(sK65)
| spl79_1 ),
inference(forward_subsumption_resolution,[],[f1237,f1185]) ).
fof(f1239,plain,
( ~ function(sK66)
| ~ relation(sK65)
| ~ function(sK65)
| spl79_1 ),
inference(forward_subsumption_resolution,[],[f1238,f822]) ).
fof(f1240,plain,
( ~ relation(sK65)
| ~ function(sK65)
| spl79_1 ),
inference(forward_subsumption_resolution,[],[f1239,f821]) ).
fof(f1241,plain,
( ~ function(sK65)
| spl79_1 ),
inference(forward_subsumption_resolution,[],[f1240,f820]) ).
fof(f1242,plain,
( $false
| spl79_1 ),
inference(forward_subsumption_resolution,[],[f1241,f819]) ).
fof(f1243,plain,
spl79_1,
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1251,plain,
( in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),sF74)
| ~ in(sK64,relation_dom(sF74))
| ~ relation(sF74)
| ~ function(sF74) ),
inference(superposition,[],[f1128,f1132]) ).
fof(f1258,plain,
( in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),sF74)
| ~ in(sK64,relation_dom(sF74))
| ~ function(sF74)
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1251,f1184]) ).
fof(f1261,plain,
( in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),sF74)
| ~ in(sK64,relation_dom(sF74))
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1258,f1173]) ).
fof(f1264,plain,
( ~ in(sK64,sF78)
| in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),sF74)
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1261,f1139]) ).
fof(f1265,plain,
( in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),sF74)
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1264,f1140]) ).
fof(f1296,plain,
! [X2,X3,X0,X1] :
( apply(X0,X1) = sK49(X0,X2,X1,X3)
| ~ relation(X0)
| ~ function(X0)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),relation_composition(X0,X2))
| ~ relation(X2)
| ~ relation(X0) ),
inference(resolution,[],[f1051,f1149]) ).
fof(f1307,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),relation_composition(X0,X2))
| ~ relation(X0)
| ~ function(X0)
| apply(X0,X1) = sK49(X0,X2,X1,X3)
| ~ relation(X2) ),
inference(duplicate_literal_removal,[],[f1296]) ).
fof(f1365,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| apply(X1,X0) = sK36(X1,X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(resolution,[],[f1108,f1051]) ).
fof(f1370,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| apply(X1,X0) = sK36(X1,X0)
| ~ function(X1) ),
inference(duplicate_literal_removal,[],[f1365]) ).
fof(f1384,plain,
! [X0] :
( ~ in(X0,sF78)
| ~ relation(sF74)
| apply(sF74,X0) = sK36(sF74,X0)
| ~ function(sF74) ),
inference(superposition,[],[f1370,f1139]) ).
fof(f1386,plain,
( ! [X0] :
( ~ in(X0,sF78)
| apply(sF74,X0) = sK36(sF74,X0)
| ~ function(sF74) )
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1384,f1184]) ).
fof(f1391,plain,
( ! [X0] :
( ~ in(X0,sF78)
| apply(sF74,X0) = sK36(sF74,X0) )
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1386,f1173]) ).
fof(f1444,plain,
( apply(sF74,sK64) = sK36(sF74,sK64)
| ~ spl79_1 ),
inference(resolution,[],[f1391,f1140]) ).
fof(f1445,plain,
( sF75 = sK36(sF74,sK64)
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1444,f1132]) ).
fof(f1532,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF74)
| ~ relation(sK66)
| ~ function(sK66)
| apply(sK66,X0) = sK49(sK66,sK65,X0,X1)
| ~ relation(sK65) ),
inference(superposition,[],[f1307,f1130]) ).
fof(f1533,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF74)
| ~ function(sK66)
| apply(sK66,X0) = sK49(sK66,sK65,X0,X1)
| ~ relation(sK65) ),
inference(forward_subsumption_resolution,[],[f1532,f822]) ).
fof(f1538,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF74)
| apply(sK66,X0) = sK49(sK66,sK65,X0,X1)
| ~ relation(sK65) ),
inference(forward_subsumption_resolution,[],[f1533,f821]) ).
fof(f1539,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF74)
| apply(sK66,X0) = sK49(sK66,sK65,X0,X1) ),
inference(forward_subsumption_resolution,[],[f1538,f820]) ).
fof(f1542,plain,
! [X0] :
( apply(sK66,X0) = sK49(sK66,sK65,X0,sK36(sF74,X0))
| ~ in(X0,relation_dom(sF74))
| ~ relation(sF74) ),
inference(resolution,[],[f1539,f1108]) ).
fof(f1549,plain,
( ! [X0] :
( apply(sK66,X0) = sK49(sK66,sK65,X0,sK36(sF74,X0))
| ~ in(X0,relation_dom(sF74)) )
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1542,f1184]) ).
fof(f1552,plain,
( ! [X0] :
( ~ in(X0,sF78)
| apply(sK66,X0) = sK49(sK66,sK65,X0,sK36(sF74,X0)) )
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1549,f1139]) ).
fof(f1569,plain,
( apply(sK66,sK64) = sK49(sK66,sK65,sK64,sK36(sF74,sK64))
| ~ spl79_1 ),
inference(resolution,[],[f1552,f1140]) ).
fof(f1570,plain,
( apply(sK66,sK64) = sK49(sK66,sK65,sK64,sF75)
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1569,f1445]) ).
fof(f1571,plain,
( sF76 = sK49(sK66,sK65,sK64,sF75)
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1570,f1134]) ).
fof(f1572,plain,
( in(unordered_pair(unordered_pair(sF76,sF75),unordered_pair(sF76,sF76)),sK65)
| ~ in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),relation_composition(sK66,sK65))
| ~ relation(sK65)
| ~ relation(sK66)
| ~ spl79_1 ),
inference(superposition,[],[f1148,f1571]) ).
fof(f1574,plain,
( in(unordered_pair(unordered_pair(sF76,sF75),unordered_pair(sF76,sF76)),sK65)
| ~ in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),relation_composition(sK66,sK65))
| ~ relation(sK66)
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1572,f820]) ).
fof(f1575,plain,
( in(unordered_pair(unordered_pair(sF76,sF75),unordered_pair(sF76,sF76)),sK65)
| ~ in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),relation_composition(sK66,sK65))
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1574,f822]) ).
fof(f1576,plain,
( ~ in(unordered_pair(unordered_pair(sK64,sF75),unordered_pair(sK64,sK64)),sF74)
| in(unordered_pair(unordered_pair(sF76,sF75),unordered_pair(sF76,sF76)),sK65)
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1575,f1130]) ).
fof(f1577,plain,
( in(unordered_pair(unordered_pair(sF76,sF75),unordered_pair(sF76,sF76)),sK65)
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1576,f1265]) ).
fof(f1593,plain,
( sF75 = apply(sK65,sF76)
| ~ relation(sK65)
| ~ function(sK65)
| ~ spl79_1 ),
inference(resolution,[],[f1577,f1051]) ).
fof(f1596,plain,
( sF75 = apply(sK65,sF76)
| ~ function(sK65)
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1593,f820]) ).
fof(f1597,plain,
( sF75 = apply(sK65,sF76)
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1596,f819]) ).
fof(f1598,plain,
( sF75 = sF77
| ~ spl79_1 ),
inference(forward_demodulation,[],[f1597,f1136]) ).
fof(f1599,plain,
( $false
| ~ spl79_1 ),
inference(forward_subsumption_resolution,[],[f1598,f1137]) ).
fof(f1600,plain,
~ spl79_1,
inference(avatar_contradiction_clause,[],[f1599]) ).
cnf(s7,plain,
spl79_1,
inference(sat_conversion,[],[f1243]) ).
cnf(s15,plain,
~ spl79_1,
inference(sat_conversion,[],[f1600]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s7,s15]) ).
fof(f1601,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU214+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 04:05:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 4.42/1.26 % (3006098)Detected formulas, will run a generic FOF schedule.
% 4.42/1.26 % (3006107)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=611981203:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.42/1.26 % (3006103)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=4179355912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.42/1.26 % (3006104)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=1224691733:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.42/1.26 % (3006105)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=2176649495:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.42/1.26 % (3006108)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1577955885:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.42/1.26 % (3006109)dis-21_1_sil=8000:lcm=predicate:random_seed=697771624: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)
% 4.42/1.26 % (3006106)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=355301939:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.42/1.26 % (3006106)Instruction limit reached!
% 4.42/1.26 % (3006106)------------------------------
% 4.42/1.26 % (3006106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006106)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006106)Termination reason: Instruction limit
% 4.42/1.26 % (3006106)Termination phase: Saturation
% 4.42/1.26 % (3006106)Time elapsed: 0.038 s
% 4.42/1.26 % (3006106)Peak memory usage: 90 MB
% 4.42/1.26 % (3006106)Instructions burned: 109 (million)
% 4.42/1.26 % (3006109)Instruction limit reached!
% 4.42/1.26 % (3006109)------------------------------
% 4.42/1.26 % (3006109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006109)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006109)Termination reason: Instruction limit
% 4.42/1.26 % (3006109)Termination phase: Saturation
% 4.42/1.26 % (3006109)Time elapsed: 0.041 s
% 4.42/1.26 % (3006109)Peak memory usage: 90 MB
% 4.42/1.26 % (3006109)Instructions burned: 130 (million)
% 4.42/1.26 % (3006107)Instruction limit reached!
% 4.42/1.26 % (3006107)------------------------------
% 4.42/1.26 % (3006107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006107)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006107)Termination reason: Instruction limit
% 4.42/1.26 % (3006107)Termination phase: Saturation
% 4.42/1.26 % (3006107)Time elapsed: 0.043 s
% 4.42/1.26 % (3006107)Peak memory usage: 89 MB
% 4.42/1.26 % (3006107)Instructions burned: 121 (million)
% 4.42/1.26 % (3006108)Instruction limit reached!
% 4.42/1.26 % (3006108)------------------------------
% 4.42/1.26 % (3006108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006108)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006108)Termination reason: Instruction limit
% 4.42/1.26 % (3006108)Termination phase: Saturation
% 4.42/1.26 % (3006108)Time elapsed: 0.051 s
% 4.42/1.26 % (3006108)Peak memory usage: 90 MB
% 4.42/1.26 % (3006108)Instructions burned: 139 (million)
% 4.42/1.26 % (3006119)lrs+1011_1_sil=32000:sp=occurrence:random_seed=151678480:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.42/1.26 % (3006117)lrs+10_1_sil=8000:sp=occurrence:random_seed=3168695152:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.42/1.26 % (3006118)lrs+10_1_sil=32000:urr=on:br=off:random_seed=285113777:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.42/1.26 % (3006120)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=812740709:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.42/1.26 % (3006118)Instruction limit reached!
% 4.42/1.26 % (3006118)------------------------------
% 4.42/1.26 % (3006118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006118)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006118)Termination reason: Instruction limit
% 4.42/1.26 % (3006118)Termination phase: Saturation
% 4.42/1.26 % (3006118)Time elapsed: 0.041 s
% 4.42/1.26 % (3006118)Peak memory usage: 91 MB
% 4.42/1.26 % (3006118)Instructions burned: 158 (million)
% 4.42/1.26 % (3006120)Instruction limit reached!
% 4.42/1.26 % (3006120)------------------------------
% 4.42/1.26 % (3006120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006120)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006120)Termination reason: Instruction limit
% 4.42/1.26 % (3006120)Termination phase: Saturation
% 4.42/1.26 % (3006120)Time elapsed: 0.076 s
% 4.42/1.26 % (3006120)Peak memory usage: 93 MB
% 4.42/1.26 % (3006120)Instructions burned: 251 (million)
% 4.42/1.26 % (3006117)Instruction limit reached!
% 4.42/1.26 % (3006117)------------------------------
% 4.42/1.26 % (3006117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006117)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006117)Termination reason: Instruction limit
% 4.42/1.26 % (3006117)Termination phase: Saturation
% 4.42/1.26 % (3006117)Time elapsed: 0.100 s
% 4.42/1.26 % (3006117)Peak memory usage: 92 MB
% 4.42/1.26 % (3006117)Instructions burned: 285 (million)
% 4.42/1.26 % (3006119)Instruction limit reached!
% 4.42/1.26 % (3006119)------------------------------
% 4.42/1.26 % (3006119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006119)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006119)Termination reason: Instruction limit
% 4.42/1.26 % (3006119)Termination phase: Saturation
% 4.42/1.26 % (3006119)Time elapsed: 0.120 s
% 4.42/1.26 % (3006119)Peak memory usage: 92 MB
% 4.42/1.26 % (3006119)Instructions burned: 325 (million)
% 4.42/1.26 % (3006125)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2279556122:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.42/1.26 % (3006126)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3114772816:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.42/1.26 % (3006127)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4080955841:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.42/1.26 % (3006128)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2009600927:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.42/1.26 % (3006127)Instruction limit reached!
% 4.42/1.26 % (3006127)------------------------------
% 4.42/1.26 % (3006127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006127)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006127)Termination reason: Instruction limit
% 4.42/1.26 % (3006127)Termination phase: Saturation
% 4.42/1.26 % (3006127)Time elapsed: 0.038 s
% 4.42/1.26 % (3006127)Peak memory usage: 89 MB
% 4.42/1.26 % (3006127)Instructions burned: 116 (million)
% 4.42/1.26 % (3006125)Instruction limit reached!
% 4.42/1.26 % (3006125)------------------------------
% 4.42/1.26 % (3006125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006103)First to succeed.
% 4.42/1.26 % (3006125)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006125)Termination reason: Instruction limit
% 4.42/1.26 % (3006125)Termination phase: Saturation
% 4.42/1.26 % (3006125)Time elapsed: 0.100 s
% 4.42/1.26 % (3006125)Peak memory usage: 90 MB
% 4.42/1.26 % (3006125)Instructions burned: 295 (million)
% 4.42/1.26 % (3006103)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3006098"
% 4.42/1.26 % (3006128)Instruction limit reached!
% 4.42/1.26 % (3006128)------------------------------
% 4.42/1.26 % (3006128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006128)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006128)Termination reason: Instruction limit
% 4.42/1.26 % (3006128)Termination phase: Saturation
% 4.42/1.26 % (3006128)Time elapsed: 0.037 s
% 4.42/1.26 % (3006128)Peak memory usage: 90 MB
% 4.42/1.26 % (3006128)Instructions burned: 130 (million)
% 4.42/1.26 % (3006133)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=432777150:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.42/1.26 % (3006134)lrs+10_1_sil=8000:sp=occurrence:random_seed=385729870:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.42/1.26 % (3006135)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1265739990:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 4.42/1.26 % (3006133)Instruction limit reached!
% 4.42/1.26 % (3006133)------------------------------
% 4.42/1.26 % (3006133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.26 % (3006133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.26 % (3006133)CaDiCaL version: 2.1.3
% 4.42/1.26 % (3006133)Termination reason: Instruction limit
% 4.42/1.26 % (3006133)Termination phase: Saturation
% 4.42/1.26 % (3006133)Time elapsed: 0.037 s
% 4.42/1.26 % (3006133)Peak memory usage: 89 MB
% 4.42/1.26 % (3006133)Instructions burned: 117 (million)
% 4.42/1.26 % (3006103)Refutation found. Thanks to Tanya!
% 4.42/1.26 % SZS status Theorem for theBenchmark
% 4.42/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 5.21/1.35 % (3006103)------------------------------
% 5.21/1.35 % (3006103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.35 % (3006103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.35 % (3006103)CaDiCaL version: 2.1.3
% 5.21/1.35 % (3006103)Termination reason: Refutation
% 5.21/1.35 % (3006103)Time elapsed: 0.417 s
% 5.21/1.35 % (3006103)Peak memory usage: 131 MB
% 5.21/1.35 % (3006103)Instructions burned: 1147 (million)
% 5.21/1.35 % (3006103)------------------------------
% 5.21/1.35 % (3006103)------------------------------
% 5.21/1.35 % (3006098)Success in time 0.717 s
% 5.21/1.35 % Vampire exiting
%------------------------------------------------------------------------------