%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU205+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 : n004.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 12:47:43 PM UTC 2026
% Result : Theorem 8.66s 2.06s
% Output : Refutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 122 ( 25 unt; 5 def)
% Number of atoms : 444 ( 57 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 544 ( 222 ~; 237 |; 67 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 283 ( 264 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f11,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f23,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f28,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(f31,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(f124,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f126,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_image(X1,X0) = relation_image(X1,set_intersection2(relation_dom(X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t145_relat_1) ).
fof(f127,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_image(X1,X0) = relation_image(X1,set_intersection2(relation_dom(X1),X0)) ),
inference(negated_conjecture,[status(cth)],[f126]) ).
fof(f134,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/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f168,axiom,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f182,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f219,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f225,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f124]) ).
fof(f296,plain,
? [X0,X1] :
( relation_image(X1,X0) != relation_image(X1,set_intersection2(relation_dom(X1),X0))
& relation(X1) ),
inference(ennf_transformation,[],[f127]) ).
fof(f302,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,[],[f134]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f302]) ).
fof(f371,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f372,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f371]) ).
fof(f381,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f219]) ).
fof(f382,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f381]) ).
fof(f383,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK6(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),X1) )
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK8(X0,X1,X6),X6),X0)
& in(sK8(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2)),skolemize(X8,sK8(X0,X1,X6))],[f382]) ).
fof(f417,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,[],[f225]) ).
fof(f418,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,[],[f417]) ).
fof(f419,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK29(X0,X1),X1)
& in(sK29(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X2,sK29(X0,X1))],[f418]) ).
fof(f430,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,[],[f28]) ).
fof(f431,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,[],[f430]) ).
fof(f432,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,[],[f431]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK37(X0,X1,X2),X0)
| in(sK37(X0,X1,X2),X1)
| ~ in(sK37(X0,X1,X2),X2) )
& ( ( in(sK37(X0,X1,X2),X0)
& ~ in(sK37(X0,X1,X2),X1) )
| in(sK37(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,[sK37]),skolemize(X3,sK37(X0,X1,X2))],[f432]) ).
fof(f467,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) ) )
& ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f294]) ).
fof(f468,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) ) )
& ( ? [X4] :
( in(X4,relation_dom(X2))
& in(ordered_pair(X4,X0),X2)
& in(X4,X1) )
| ~ in(X0,relation_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(rectify,[],[f467]) ).
fof(f469,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) ) )
& ( ( in(sK57(X0,X1,X2),relation_dom(X2))
& in(ordered_pair(sK57(X0,X1,X2),X0),X2)
& in(sK57(X0,X1,X2),X1) )
| ~ in(X0,relation_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X4,sK57(X0,X1,X2))],[f468]) ).
fof(f470,plain,
( relation_image(sK59,sK58) != relation_image(sK59,set_intersection2(relation_dom(sK59),sK58))
& relation(sK59) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59]),skolemize(X0,sK58),skolemize(X1,sK59)],[f296]) ).
fof(f506,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f372]) ).
fof(f519,plain,
! [X2,X0,X1,X6] :
( in(sK8(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f520,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK8(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f521,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f578,plain,
! [X0,X1] :
( in(sK29(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f419]) ).
fof(f579,plain,
! [X0,X1] :
( ~ in(sK29(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f419]) ).
fof(f597,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f433]) ).
fof(f598,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f433]) ).
fof(f599,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f433]) ).
fof(f608,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f721,plain,
! [X2,X0,X1] :
( in(sK57(X0,X1,X2),X1)
| ~ in(X0,relation_image(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f469]) ).
fof(f722,plain,
! [X2,X0,X1] :
( in(ordered_pair(sK57(X0,X1,X2),X0),X2)
| ~ in(X0,relation_image(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f469]) ).
fof(f723,plain,
! [X2,X0,X1] :
( in(sK57(X0,X1,X2),relation_dom(X2))
| ~ in(X0,relation_image(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f469]) ).
fof(f726,plain,
relation(sK59),
inference(cnf_transformation,[],[f470]) ).
fof(f727,plain,
relation_image(sK59,sK58) != relation_image(sK59,set_intersection2(relation_dom(sK59),sK58)),
inference(cnf_transformation,[],[f470]) ).
fof(f735,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f303]) ).
fof(f784,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f168]) ).
fof(f803,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f182]) ).
fof(f832,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f608,f803]) ).
fof(f854,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(unordered_pair(unordered_pair(X7,X6),unordered_pair(X7,X7)),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f521,f832]) ).
fof(f855,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK8(X0,X1,X6),X6),unordered_pair(sK8(X0,X1,X6),sK8(X0,X1,X6))),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f520,f832]) ).
fof(f921,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(sK57(X0,X1,X2),X0),unordered_pair(sK57(X0,X1,X2),sK57(X0,X1,X2))),X2)
| ~ in(X0,relation_image(X2,X1))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f722,f832]) ).
fof(f922,plain,
relation_image(sK59,sK58) != relation_image(sK59,set_difference(relation_dom(sK59),set_difference(relation_dom(sK59),sK58))),
inference(definition_unfolding,[],[f727,f784]) ).
fof(f926,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,[],[f735,f832]) ).
fof(f965,plain,
! [X0,X1,X6,X7] :
( ~ in(unordered_pair(unordered_pair(X7,X6),unordered_pair(X7,X7)),X0)
| in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f854]) ).
fof(f966,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK8(X0,X1,X6),X6),unordered_pair(sK8(X0,X1,X6),sK8(X0,X1,X6))),X0)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f855]) ).
fof(f967,plain,
! [X0,X1,X6] :
( in(sK8(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f519]) ).
fof(f1004,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f599]) ).
fof(f1005,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f598]) ).
fof(f1006,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f597]) ).
fof(f1020,definition,
sF67 = relation_image(sK59,sK58),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f1021,plain,
relation_image(sK59,sK58) = sF67,
inference(reorient_equations,[],[f1020]) ).
fof(f1022,definition,
sF68 = relation_dom(sK59),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
fof(f1023,plain,
relation_dom(sK59) = sF68,
inference(reorient_equations,[],[f1022]) ).
fof(f1024,definition,
sF69 = set_difference(sF68,sK58),
introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).
fof(f1025,plain,
set_difference(sF68,sK58) = sF69,
inference(reorient_equations,[],[f1024]) ).
fof(f1026,definition,
sF70 = set_difference(sF68,sF69),
introduced(definition,[new_symbols(definition,[sF70])],[function_definition]) ).
fof(f1027,plain,
set_difference(sF68,sF69) = sF70,
inference(reorient_equations,[],[f1026]) ).
fof(f1028,definition,
sF71 = relation_image(sK59,sF70),
introduced(definition,[new_symbols(definition,[sF71])],[function_definition]) ).
fof(f1029,plain,
relation_image(sK59,sF70) = sF71,
inference(reorient_equations,[],[f1028]) ).
fof(f1030,plain,
sF67 != sF71,
inference(definition_folding,[],[f922,f1029,f1027,f1025,f1023,f1023,f1021]) ).
fof(f1052,plain,
! [X2,X3,X0,X1] :
( in(X0,relation_image(X1,X2))
| ~ in(sK8(X1,X3,X0),X2)
| ~ relation(X1)
| ~ in(X0,relation_image(X1,X3))
| ~ relation(X1) ),
inference(resolution,[],[f965,f966]) ).
fof(f1053,plain,
! [X2,X3,X0,X1] :
( in(X0,relation_image(X1,X2))
| ~ in(sK57(X0,X3,X1),X2)
| ~ relation(X1)
| ~ in(X0,relation_image(X1,X3))
| ~ relation(X1) ),
inference(resolution,[],[f965,f921]) ).
fof(f1054,plain,
! [X2,X3,X0,X1] :
( ~ in(sK57(X0,X3,X1),X2)
| in(X0,relation_image(X1,X2))
| ~ relation(X1)
| ~ in(X0,relation_image(X1,X3)) ),
inference(duplicate_literal_removal,[],[f1053]) ).
fof(f1055,plain,
! [X2,X3,X0,X1] :
( ~ in(sK8(X1,X3,X0),X2)
| in(X0,relation_image(X1,X2))
| ~ relation(X1)
| ~ in(X0,relation_image(X1,X3)) ),
inference(duplicate_literal_removal,[],[f1052]) ).
fof(f1066,plain,
! [X0] :
( ~ in(X0,sF69)
| ~ in(X0,sK58) ),
inference(superposition,[],[f1006,f1025]) ).
fof(f1067,plain,
! [X0] :
( ~ in(X0,sF70)
| ~ in(X0,sF69) ),
inference(superposition,[],[f1006,f1027]) ).
fof(f1099,plain,
! [X0] :
( ~ in(X0,sF70)
| in(X0,sF68) ),
inference(superposition,[],[f1005,f1027]) ).
fof(f1121,plain,
! [X0,X1] :
( in(sK57(X0,sF70,X1),sF68)
| ~ relation(X1)
| ~ in(X0,relation_image(X1,sF70)) ),
inference(resolution,[],[f721,f1099]) ).
fof(f1122,plain,
! [X0,X1] :
( ~ in(X0,relation_image(X1,sF70))
| ~ relation(X1)
| ~ in(sK57(X0,sF70,X1),sF69) ),
inference(resolution,[],[f721,f1067]) ).
fof(f1124,plain,
! [X2,X0,X1] :
( in(sK8(X0,X1,X2),relation_dom(X0))
| ~ relation(X0)
| ~ in(X2,relation_image(X0,X1))
| ~ relation(X0) ),
inference(resolution,[],[f926,f966]) ).
fof(f1133,plain,
! [X2,X0,X1] :
( in(sK8(X0,X1,X2),relation_dom(X0))
| ~ relation(X0)
| ~ in(X2,relation_image(X0,X1)) ),
inference(duplicate_literal_removal,[],[f1124]) ).
fof(f1135,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF68)
| ~ relation(sK59)
| ~ in(X1,relation_image(sK59,X0)) ),
inference(superposition,[],[f1133,f1023]) ).
fof(f1137,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF68)
| ~ in(X1,relation_image(sK59,X0)) ),
inference(forward_subsumption_resolution,[],[f1135,f726]) ).
fof(f1147,plain,
! [X0] :
( ~ in(X0,sF68)
| in(X0,sF69)
| in(X0,sK58) ),
inference(superposition,[],[f1004,f1025]) ).
fof(f1148,plain,
! [X0] :
( ~ in(X0,sF68)
| in(X0,sF70)
| in(X0,sF69) ),
inference(superposition,[],[f1004,f1027]) ).
fof(f1153,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF70)
| in(sK8(sK59,X0,X1),sF69)
| ~ in(X1,relation_image(sK59,X0)) ),
inference(resolution,[],[f1148,f1137]) ).
fof(f1183,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF69)
| ~ in(X1,relation_image(sK59,X0))
| in(X1,relation_image(sK59,sF70))
| ~ relation(sK59)
| ~ in(X1,relation_image(sK59,X0)) ),
inference(resolution,[],[f1153,f1055]) ).
fof(f1186,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF69)
| ~ in(X1,relation_image(sK59,X0))
| in(X1,relation_image(sK59,sF70))
| ~ relation(sK59) ),
inference(duplicate_literal_removal,[],[f1183]) ).
fof(f1187,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF69)
| ~ in(X1,relation_image(sK59,X0))
| in(X1,relation_image(sK59,sF70)) ),
inference(forward_subsumption_resolution,[],[f1186,f726]) ).
fof(f1188,plain,
! [X0,X1] :
( in(sK8(sK59,X0,X1),sF69)
| in(X1,sF71)
| ~ in(X1,relation_image(sK59,X0)) ),
inference(forward_demodulation,[],[f1187,f1029]) ).
fof(f1191,plain,
! [X0,X1] :
( ~ in(sK8(sK59,X1,X0),sK58)
| ~ in(X0,relation_image(sK59,X1))
| in(X0,sF71) ),
inference(resolution,[],[f1188,f1066]) ).
fof(f1229,plain,
! [X0] :
( ~ in(X0,relation_image(sK59,sK58))
| ~ relation(sK59)
| ~ in(X0,relation_image(sK59,sK58))
| in(X0,sF71) ),
inference(resolution,[],[f967,f1191]) ).
fof(f1238,plain,
! [X0] :
( ~ in(X0,relation_image(sK59,sK58))
| ~ relation(sK59)
| in(X0,sF71) ),
inference(duplicate_literal_removal,[],[f1229]) ).
fof(f1241,plain,
! [X0] :
( ~ in(X0,relation_image(sK59,sK58))
| in(X0,sF71) ),
inference(forward_subsumption_resolution,[],[f1238,f726]) ).
fof(f1243,plain,
! [X0] :
( ~ in(X0,sF67)
| in(X0,sF71) ),
inference(forward_demodulation,[],[f1241,f1021]) ).
fof(f1332,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sF68)
| ~ in(X0,relation_image(sK59,X1))
| ~ relation(sK59) ),
inference(superposition,[],[f723,f1023]) ).
fof(f1334,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sF68)
| ~ in(X0,relation_image(sK59,X1)) ),
inference(forward_subsumption_resolution,[],[f1332,f726]) ).
fof(f1336,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sK58)
| in(sK57(X0,X1,sK59),sF69)
| ~ in(X0,relation_image(sK59,X1)) ),
inference(resolution,[],[f1334,f1147]) ).
fof(f1339,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sF69)
| ~ in(X0,relation_image(sK59,X1))
| in(X0,relation_image(sK59,sK58))
| ~ relation(sK59)
| ~ in(X0,relation_image(sK59,X1)) ),
inference(resolution,[],[f1336,f1054]) ).
fof(f1340,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sF69)
| ~ in(X0,relation_image(sK59,X1))
| in(X0,relation_image(sK59,sK58))
| ~ relation(sK59) ),
inference(duplicate_literal_removal,[],[f1339]) ).
fof(f1341,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sF69)
| ~ in(X0,relation_image(sK59,X1))
| in(X0,relation_image(sK59,sK58)) ),
inference(forward_subsumption_resolution,[],[f1340,f726]) ).
fof(f1342,plain,
! [X0,X1] :
( in(sK57(X0,X1,sK59),sF69)
| in(X0,sF67)
| ~ in(X0,relation_image(sK59,X1)) ),
inference(forward_demodulation,[],[f1341,f1021]) ).
fof(f1345,plain,
! [X0,X1] :
( ~ in(sK57(X0,X1,sK59),sK58)
| ~ in(X0,relation_image(sK59,X1))
| in(X0,sF67) ),
inference(resolution,[],[f1342,f1066]) ).
fof(f1464,plain,
! [X0] :
( in(sK29(sF67,X0),sF71)
| subset(sF67,X0) ),
inference(resolution,[],[f578,f1243]) ).
fof(f1495,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ in(X1,relation_image(X0,sF70))
| in(sK57(X1,sF70,X0),sF69)
| in(sK57(X1,sF70,X0),sK58) ),
inference(resolution,[],[f1121,f1147]) ).
fof(f1498,plain,
! [X0,X1] :
( in(sK57(X1,sF70,X0),sK58)
| ~ in(X1,relation_image(X0,sF70))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f1495,f1122]) ).
fof(f1500,plain,
! [X0] :
( ~ in(X0,relation_image(sK59,sF70))
| ~ relation(sK59)
| ~ in(X0,relation_image(sK59,sF70))
| in(X0,sF67) ),
inference(resolution,[],[f1498,f1345]) ).
fof(f1503,plain,
! [X0] :
( ~ in(X0,relation_image(sK59,sF70))
| ~ relation(sK59)
| in(X0,sF67) ),
inference(duplicate_literal_removal,[],[f1500]) ).
fof(f1505,plain,
! [X0] :
( ~ in(X0,relation_image(sK59,sF70))
| in(X0,sF67) ),
inference(forward_subsumption_resolution,[],[f1503,f726]) ).
fof(f1507,plain,
! [X0] :
( ~ in(X0,sF71)
| in(X0,sF67) ),
inference(forward_demodulation,[],[f1505,f1029]) ).
fof(f1517,plain,
! [X0] :
( in(sK29(sF71,X0),sF67)
| subset(sF71,X0) ),
inference(resolution,[],[f1507,f578]) ).
fof(f1589,plain,
( subset(sF67,sF71)
| subset(sF67,sF71) ),
inference(resolution,[],[f579,f1464]) ).
fof(f1590,plain,
( subset(sF71,sF67)
| subset(sF71,sF67) ),
inference(resolution,[],[f579,f1517]) ).
fof(f1593,plain,
subset(sF71,sF67),
inference(duplicate_literal_removal,[],[f1590]) ).
fof(f1594,plain,
subset(sF67,sF71),
inference(duplicate_literal_removal,[],[f1589]) ).
fof(f1596,plain,
( ~ subset(sF67,sF71)
| sF67 = sF71 ),
inference(resolution,[],[f1593,f506]) ).
fof(f1597,plain,
sF67 = sF71,
inference(forward_subsumption_resolution,[],[f1596,f1594]) ).
fof(f1598,plain,
$false,
inference(forward_subsumption_resolution,[],[f1597,f1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU205+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:02:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.66/2.06 % (4137554)Detected formulas, will run a generic FOF schedule.
% 8.66/2.06 % (4137563)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1677190555:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.66/2.06 % (4137565)dis-21_1_sil=8000:lcm=predicate:random_seed=3642718049: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)
% 8.66/2.06 % (4137561)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=2105740411:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.66/2.06 % (4137562)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3182750051:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.66/2.06 % (4137560)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=1319455090:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.66/2.06 % (4137564)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3249020096:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.66/2.06 % (4137559)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=8784183:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.66/2.06 % (4137563)Instruction limit reached!
% 8.66/2.06 % (4137563)------------------------------
% 8.66/2.06 % (4137563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137563)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137563)Termination reason: Instruction limit
% 8.66/2.06 % (4137563)Termination phase: Saturation
% 8.66/2.06 % (4137563)Time elapsed: 0.043 s
% 8.66/2.06 % (4137563)Peak memory usage: 89 MB
% 8.66/2.06 % (4137563)Instructions burned: 119 (million)
% 8.66/2.06 % (4137562)Instruction limit reached!
% 8.66/2.06 % (4137562)------------------------------
% 8.66/2.06 % (4137562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137562)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137562)Termination reason: Instruction limit
% 8.66/2.06 % (4137562)Termination phase: Saturation
% 8.66/2.06 % (4137562)Time elapsed: 0.073 s
% 8.66/2.06 % (4137562)Peak memory usage: 90 MB
% 8.66/2.06 % (4137562)Instructions burned: 109 (million)
% 8.66/2.06 % (4137565)Instruction limit reached!
% 8.66/2.06 % (4137565)------------------------------
% 8.66/2.06 % (4137565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137565)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137565)Termination reason: Instruction limit
% 8.66/2.06 % (4137565)Termination phase: Saturation
% 8.66/2.06 % (4137565)Time elapsed: 0.076 s
% 8.66/2.06 % (4137565)Peak memory usage: 90 MB
% 8.66/2.06 % (4137565)Instructions burned: 130 (million)
% 8.66/2.06 % (4137564)Instruction limit reached!
% 8.66/2.06 % (4137564)------------------------------
% 8.66/2.06 % (4137564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137564)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137564)Termination reason: Instruction limit
% 8.66/2.06 % (4137564)Termination phase: Saturation
% 8.66/2.06 % (4137564)Time elapsed: 0.096 s
% 8.66/2.06 % (4137564)Peak memory usage: 90 MB
% 8.66/2.06 % (4137564)Instructions burned: 140 (million)
% 8.66/2.06 % (4137573)lrs+10_1_sil=8000:sp=occurrence:random_seed=2260521617:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.66/2.06 % (4137573)Instruction limit reached!
% 8.66/2.06 % (4137573)------------------------------
% 8.66/2.06 % (4137573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137573)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137573)Termination reason: Instruction limit
% 8.66/2.06 % (4137573)Termination phase: Saturation
% 8.66/2.06 % (4137573)Time elapsed: 0.101 s
% 8.66/2.06 % (4137573)Peak memory usage: 93 MB
% 8.66/2.06 % (4137573)Instructions burned: 285 (million)
% 8.66/2.06 % (4137575)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3930836157:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.66/2.06 % (4137574)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2637201077:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.66/2.06 % (4137576)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=1930587355:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.66/2.06 % (4137574)Instruction limit reached!
% 8.66/2.06 % (4137574)------------------------------
% 8.66/2.06 % (4137574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137574)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137574)Termination reason: Instruction limit
% 8.66/2.06 % (4137574)Termination phase: Saturation
% 8.66/2.06 % (4137574)Time elapsed: 0.099 s
% 8.66/2.06 % (4137574)Peak memory usage: 90 MB
% 8.66/2.06 % (4137574)Instructions burned: 158 (million)
% 8.66/2.06 % (4137580)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=615150830:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.66/2.06 % (4137576)Instruction limit reached!
% 8.66/2.06 % (4137576)------------------------------
% 8.66/2.06 % (4137576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137576)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137576)Termination reason: Instruction limit
% 8.66/2.06 % (4137576)Termination phase: Saturation
% 8.66/2.06 % (4137576)Time elapsed: 0.149 s
% 8.66/2.06 % (4137576)Peak memory usage: 93 MB
% 8.66/2.06 % (4137576)Instructions burned: 249 (million)
% 8.66/2.06 % (4137580)Instruction limit reached!
% 8.66/2.06 % (4137580)------------------------------
% 8.66/2.06 % (4137580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137580)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137580)Termination reason: Instruction limit
% 8.66/2.06 % (4137580)Termination phase: Saturation
% 8.66/2.06 % (4137580)Time elapsed: 0.099 s
% 8.66/2.06 % (4137580)Peak memory usage: 90 MB
% 8.66/2.06 % (4137580)Instructions burned: 297 (million)
% 8.66/2.06 % (4137575)Instruction limit reached!
% 8.66/2.06 % (4137575)------------------------------
% 8.66/2.06 % (4137575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137575)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137575)Termination reason: Instruction limit
% 8.66/2.06 % (4137575)Termination phase: Saturation
% 8.66/2.06 % (4137575)Time elapsed: 0.222 s
% 8.66/2.06 % (4137575)Peak memory usage: 93 MB
% 8.66/2.06 % (4137575)Instructions burned: 326 (million)
% 8.66/2.06 % (4137582)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=203803859:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.66/2.06 % (4137584)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2532409433:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.66/2.06 % (4137585)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1064324769:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.66/2.06 % (4137585)Instruction limit reached!
% 8.66/2.06 % (4137585)------------------------------
% 8.66/2.06 % (4137585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137585)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137585)Termination reason: Instruction limit
% 8.66/2.06 % (4137585)Termination phase: Saturation
% 8.66/2.06 % (4137585)Time elapsed: 0.035 s
% 8.66/2.06 % (4137585)Peak memory usage: 89 MB
% 8.66/2.06 % (4137585)Instructions burned: 128 (million)
% 8.66/2.06 % (4137586)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=941404722:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.66/2.06 % (4137584)Instruction limit reached!
% 8.66/2.06 % (4137584)------------------------------
% 8.66/2.06 % (4137584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137584)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137584)Termination reason: Instruction limit
% 8.66/2.06 % (4137584)Termination phase: Saturation
% 8.66/2.06 % (4137584)Time elapsed: 0.069 s
% 8.66/2.06 % (4137584)Peak memory usage: 90 MB
% 8.66/2.06 % (4137584)Instructions burned: 113 (million)
% 8.66/2.06 % (4137586)Instruction limit reached!
% 8.66/2.06 % (4137586)------------------------------
% 8.66/2.06 % (4137586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137586)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137586)Termination reason: Instruction limit
% 8.66/2.06 % (4137586)Termination phase: Saturation
% 8.66/2.06 % (4137586)Time elapsed: 0.080 s
% 8.66/2.06 % (4137586)Peak memory usage: 90 MB
% 8.66/2.06 % (4137586)Instructions burned: 115 (million)
% 8.66/2.06 % (4137590)lrs+10_1_sil=8000:sp=occurrence:random_seed=1874581158:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.66/2.06 % (4137559)First to succeed.
% 8.66/2.06 % (4137559)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4137554"
% 8.66/2.06 % (4137592)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1206858071:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.66/2.06 % (4137593)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1715155318:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.66/2.06 % (4137590)Instruction limit reached!
% 8.66/2.06 % (4137590)------------------------------
% 8.66/2.06 % (4137590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.06 % (4137590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.06 % (4137590)CaDiCaL version: 2.1.3
% 8.66/2.06 % (4137590)Termination reason: Instruction limit
% 8.66/2.06 % (4137590)Termination phase: Saturation
% 8.66/2.06 % (4137590)Time elapsed: 0.306 s
% 8.66/2.06 % (4137590)Peak memory usage: 99 MB
% 8.66/2.06 % (4137590)Instructions burned: 909 (million)
% 8.66/2.06 % (4137559)Refutation found. Thanks to Tanya!
% 8.66/2.06 % SZS status Theorem for theBenchmark
% 8.66/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.02/2.26 % (4137559)------------------------------
% 9.02/2.26 % (4137559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/2.26 % (4137559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/2.26 % (4137559)CaDiCaL version: 2.1.3
% 9.02/2.26 % (4137559)Termination reason: Refutation
% 9.02/2.26 % (4137559)Time elapsed: 0.767 s
% 9.02/2.26 % (4137559)Peak memory usage: 131 MB
% 9.02/2.26 % (4137559)Instructions burned: 1157 (million)
% 9.02/2.26 % (4137559)------------------------------
% 9.02/2.26 % (4137559)------------------------------
% 9.02/2.26 % (4137554)Success in time 1.197 s
% 9.02/2.26 % Vampire exiting
%------------------------------------------------------------------------------