%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU181+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:47:36 PM UTC 2026
% Result : Theorem 6.21s 1.98s
% Output : Refutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 131 ( 31 unt; 7 def)
% Number of atoms : 396 ( 75 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 445 ( 180 ~; 192 |; 45 &)
% ( 17 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-2 aty)
% Number of variables : 215 ( 0 sgn 192 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,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(f22,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f24,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(f26,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( X1 = relation_inverse(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> in(ordered_pair(X3,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_relat_1) ).
fof(f44,axiom,
! [X0] :
( relation(X0)
=> relation(relation_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f65,axiom,
! [X0] :
( relation(X0)
=> relation_inverse(relation_inverse(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f102,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(f115,conjecture,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f116,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f143,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f172,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_inverse(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f182,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f195,plain,
! [X0] :
( relation_inverse(relation_inverse(X0)) = X0
| ~ relation(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f223,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,[],[f102]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f223]) ).
fof(f237,plain,
? [X0] :
( ( relation_rng(X0) != relation_dom(relation_inverse(X0))
| relation_dom(X0) != relation_rng(relation_inverse(X0)) )
& relation(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f271,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f272,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f271]) ).
fof(f300,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,[],[f172]) ).
fof(f301,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,[],[f300]) ).
fof(f302,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK16(X0,X1),X1)
& in(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f301]) ).
fof(f307,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,[],[f173]) ).
fof(f308,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,[],[f307]) ).
fof(f309,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK18(X0,X1),X3),X0)
| ~ in(sK18(X0,X1),X1) )
& ( in(ordered_pair(sK18(X0,X1),sK19(X0,X1)),X0)
| in(sK18(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK20(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X2,sK18(X0,X1)),skolemize(X4,sK19(X0,X1)),skolemize(X7,sK20(X0,X5))],[f308]) ).
fof(f317,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f174]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f317]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK25(X0,X1)),X0)
| ~ in(sK25(X0,X1),X1) )
& ( in(ordered_pair(sK26(X0,X1),sK25(X0,X1)),X0)
| in(sK25(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X2,sK25(X0,X1)),skolemize(X4,sK26(X0,X1)),skolemize(X7,sK27(X0,X5))],[f318]) ).
fof(f320,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = relation_inverse(X0)
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X3,X2),X0) )
& ( in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) ) )
| relation_inverse(X0) != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f321,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = relation_inverse(X0)
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1) ) )
| relation_inverse(X0) != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f320]) ).
fof(f322,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = relation_inverse(X0)
| ( ( ~ in(ordered_pair(sK29(X0,X1),sK28(X0,X1)),X0)
| ~ in(ordered_pair(sK28(X0,X1),sK29(X0,X1)),X1) )
& ( in(ordered_pair(sK29(X0,X1),sK28(X0,X1)),X0)
| in(ordered_pair(sK28(X0,X1),sK29(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1) ) )
| relation_inverse(X0) != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29]),skolemize(X2,sK28(X0,X1)),skolemize(X3,sK29(X0,X1))],[f321]) ).
fof(f346,plain,
( ( relation_rng(sK40) != relation_dom(relation_inverse(sK40))
| relation_dom(sK40) != relation_rng(relation_inverse(sK40)) )
& relation(sK40) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X0,sK40)],[f237]) ).
fof(f367,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f272]) ).
fof(f414,plain,
! [X0,X1] :
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f415,plain,
! [X0,X1] :
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f422,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK20(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f439,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f444,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f446,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1)
| relation_inverse(X0) != X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f460,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f478,plain,
! [X0] :
( ~ relation(X0)
| relation_inverse(relation_inverse(X0)) = X0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f530,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f224]) ).
fof(f531,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f224]) ).
fof(f548,plain,
relation(sK40),
inference(cnf_transformation,[],[f346]) ).
fof(f549,plain,
( relation_rng(sK40) != relation_dom(relation_inverse(sK40))
| relation_dom(sK40) != relation_rng(relation_inverse(sK40)) ),
inference(cnf_transformation,[],[f346]) ).
fof(f588,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f143]) ).
fof(f605,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f444,f588]) ).
fof(f626,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f422,f605]) ).
fof(f630,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f439,f605]) ).
fof(f634,plain,
! [X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)
| relation_inverse(X0) != X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f446,f605,f605]) ).
fof(f659,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,[],[f531,f605]) ).
fof(f660,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f530,f605]) ).
fof(f713,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f626]) ).
fof(f721,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f630]) ).
fof(f723,plain,
! [X0,X4,X5] :
( in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),relation_inverse(X0))
| ~ relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f634]) ).
fof(f730,definition,
sF45 = relation_rng(sK40),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f731,plain,
relation_rng(sK40) = sF45,
inference(reorient_equations,[],[f730]) ).
fof(f732,definition,
sF46 = relation_inverse(sK40),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
fof(f733,plain,
relation_inverse(sK40) = sF46,
inference(reorient_equations,[],[f732]) ).
fof(f734,definition,
sF47 = relation_dom(sF46),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
fof(f735,plain,
relation_dom(sF46) = sF47,
inference(reorient_equations,[],[f734]) ).
fof(f736,definition,
sF48 = relation_dom(sK40),
introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).
fof(f737,plain,
relation_dom(sK40) = sF48,
inference(reorient_equations,[],[f736]) ).
fof(f738,definition,
sF49 = relation_rng(sF46),
introduced(definition,[new_symbols(definition,[sF49])],[function_definition]) ).
fof(f739,plain,
relation_rng(sF46) = sF49,
inference(reorient_equations,[],[f738]) ).
fof(f740,plain,
( sF45 != sF47
| sF48 != sF49 ),
inference(definition_folding,[],[f549,f739,f733,f737,f735,f733,f731]) ).
fof(f742,definition,
( spl50_1
<=> sF48 = sF49 ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
fof(f744,plain,
( sF48 != sF49
| spl50_1 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f746,definition,
( spl50_2
<=> sF45 = sF47 ),
introduced(definition,[new_symbols(definition,[spl50_2])],[avatar_definition]) ).
fof(f749,plain,
( ~ spl50_1
| ~ spl50_2 ),
inference(avatar_split_clause,[],[f740,f746,f742]) ).
fof(f753,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),relation_inverse(X0))
| in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f723,f460]) ).
fof(f756,plain,
sK40 = relation_inverse(relation_inverse(sK40)),
inference(resolution,[],[f548,f478]) ).
fof(f757,plain,
sK40 = relation_inverse(sF46),
inference(forward_demodulation,[],[f756,f733]) ).
fof(f759,plain,
( relation(sF46)
| ~ relation(sK40) ),
inference(superposition,[],[f460,f733]) ).
fof(f761,plain,
relation(sF46),
inference(forward_subsumption_resolution,[],[f759,f548]) ).
fof(f872,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF46)
| in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK40)
| ~ relation(sK40) ),
inference(superposition,[],[f753,f733]) ).
fof(f873,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK40)
| in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sF46)
| ~ relation(sF46) ),
inference(superposition,[],[f753,f757]) ).
fof(f874,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK40)
| in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sF46) ),
inference(forward_subsumption_resolution,[],[f873,f761]) ).
fof(f875,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF46)
| in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK40) ),
inference(forward_subsumption_resolution,[],[f872,f548]) ).
fof(f878,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sF46,X0)),unordered_pair(X0,X0)),sK40)
| ~ in(X0,relation_rng(sF46))
| ~ relation(sF46) ),
inference(resolution,[],[f875,f721]) ).
fof(f879,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK20(sF46,X0),X0),unordered_pair(sK20(sF46,X0),sK20(sF46,X0))),sK40)
| ~ in(X0,relation_dom(sF46))
| ~ relation(sF46) ),
inference(resolution,[],[f875,f713]) ).
fof(f884,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK20(sF46,X0),X0),unordered_pair(sK20(sF46,X0),sK20(sF46,X0))),sK40)
| ~ in(X0,relation_dom(sF46)) ),
inference(forward_subsumption_resolution,[],[f879,f761]) ).
fof(f885,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sF46,X0)),unordered_pair(X0,X0)),sK40)
| ~ in(X0,relation_rng(sF46)) ),
inference(forward_subsumption_resolution,[],[f878,f761]) ).
fof(f886,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK20(sF46,X0),X0),unordered_pair(sK20(sF46,X0),sK20(sF46,X0))),sK40)
| ~ in(X0,sF47) ),
inference(forward_demodulation,[],[f884,f735]) ).
fof(f887,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sF46,X0)),unordered_pair(X0,X0)),sK40)
| ~ in(X0,sF49) ),
inference(forward_demodulation,[],[f885,f739]) ).
fof(f888,plain,
! [X0] :
( ~ in(X0,sF49)
| in(X0,relation_dom(sK40))
| ~ relation(sK40) ),
inference(resolution,[],[f887,f659]) ).
fof(f895,plain,
! [X0] :
( ~ in(X0,sF49)
| in(X0,relation_dom(sK40)) ),
inference(forward_subsumption_resolution,[],[f888,f548]) ).
fof(f897,plain,
! [X0] :
( ~ in(X0,sF49)
| in(X0,sF48) ),
inference(forward_demodulation,[],[f895,f737]) ).
fof(f905,plain,
! [X0] :
( ~ in(X0,sF47)
| in(X0,relation_rng(sK40))
| ~ relation(sK40) ),
inference(resolution,[],[f886,f660]) ).
fof(f910,plain,
! [X0] :
( ~ in(X0,sF47)
| in(X0,relation_rng(sK40)) ),
inference(forward_subsumption_resolution,[],[f905,f548]) ).
fof(f912,plain,
! [X0] :
( ~ in(X0,sF47)
| in(X0,sF45) ),
inference(forward_demodulation,[],[f910,f731]) ).
fof(f922,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sK40,X0)),unordered_pair(X0,X0)),sF46)
| ~ in(X0,relation_rng(sK40))
| ~ relation(sK40) ),
inference(resolution,[],[f874,f721]) ).
fof(f923,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK20(sK40,X0),X0),unordered_pair(sK20(sK40,X0),sK20(sK40,X0))),sF46)
| ~ in(X0,relation_dom(sK40))
| ~ relation(sK40) ),
inference(resolution,[],[f874,f713]) ).
fof(f928,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK20(sK40,X0),X0),unordered_pair(sK20(sK40,X0),sK20(sK40,X0))),sF46)
| ~ in(X0,relation_dom(sK40)) ),
inference(forward_subsumption_resolution,[],[f923,f548]) ).
fof(f929,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sK40,X0)),unordered_pair(X0,X0)),sF46)
| ~ in(X0,relation_rng(sK40)) ),
inference(forward_subsumption_resolution,[],[f922,f548]) ).
fof(f930,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK20(sK40,X0),X0),unordered_pair(sK20(sK40,X0),sK20(sK40,X0))),sF46)
| ~ in(X0,sF48) ),
inference(forward_demodulation,[],[f928,f737]) ).
fof(f931,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sK40,X0)),unordered_pair(X0,X0)),sF46)
| ~ in(X0,sF45) ),
inference(forward_demodulation,[],[f929,f731]) ).
fof(f933,plain,
! [X0] :
( ~ in(X0,sF45)
| in(X0,relation_dom(sF46))
| ~ relation(sF46) ),
inference(resolution,[],[f931,f659]) ).
fof(f940,plain,
! [X0] :
( ~ in(X0,sF45)
| in(X0,relation_dom(sF46)) ),
inference(forward_subsumption_resolution,[],[f933,f761]) ).
fof(f942,plain,
! [X0] :
( ~ in(X0,sF45)
| in(X0,sF47) ),
inference(forward_demodulation,[],[f940,f735]) ).
fof(f964,plain,
! [X0] :
( ~ in(X0,sF48)
| in(X0,relation_rng(sF46))
| ~ relation(sF46) ),
inference(resolution,[],[f930,f660]) ).
fof(f969,plain,
! [X0] :
( ~ in(X0,sF48)
| in(X0,relation_rng(sF46)) ),
inference(forward_subsumption_resolution,[],[f964,f761]) ).
fof(f971,plain,
! [X0] :
( ~ in(X0,sF48)
| in(X0,sF49) ),
inference(forward_demodulation,[],[f969,f739]) ).
fof(f1069,plain,
! [X0] :
( in(sK16(sF45,X0),sF47)
| subset(sF45,X0) ),
inference(resolution,[],[f414,f942]) ).
fof(f1070,plain,
! [X0] :
( in(sK16(sF47,X0),sF45)
| subset(sF47,X0) ),
inference(resolution,[],[f414,f912]) ).
fof(f1071,plain,
! [X0] :
( in(sK16(sF48,X0),sF49)
| subset(sF48,X0) ),
inference(resolution,[],[f414,f971]) ).
fof(f1072,plain,
! [X0] :
( in(sK16(sF49,X0),sF48)
| subset(sF49,X0) ),
inference(resolution,[],[f414,f897]) ).
fof(f1086,plain,
( subset(sF47,sF45)
| subset(sF47,sF45) ),
inference(resolution,[],[f415,f1070]) ).
fof(f1087,plain,
( subset(sF45,sF47)
| subset(sF45,sF47) ),
inference(resolution,[],[f415,f1069]) ).
fof(f1088,plain,
( subset(sF49,sF48)
| subset(sF49,sF48) ),
inference(resolution,[],[f415,f1072]) ).
fof(f1089,plain,
( subset(sF48,sF49)
| subset(sF48,sF49) ),
inference(resolution,[],[f415,f1071]) ).
fof(f1090,plain,
subset(sF48,sF49),
inference(duplicate_literal_removal,[],[f1089]) ).
fof(f1091,plain,
subset(sF49,sF48),
inference(duplicate_literal_removal,[],[f1088]) ).
fof(f1092,plain,
subset(sF45,sF47),
inference(duplicate_literal_removal,[],[f1087]) ).
fof(f1093,plain,
subset(sF47,sF45),
inference(duplicate_literal_removal,[],[f1086]) ).
fof(f1095,plain,
( ~ subset(sF45,sF47)
| sF45 = sF47 ),
inference(resolution,[],[f1093,f367]) ).
fof(f1096,plain,
sF45 = sF47,
inference(forward_subsumption_resolution,[],[f1095,f1092]) ).
fof(f1097,plain,
spl50_2,
inference(avatar_split_clause,[],[f1096,f746]) ).
fof(f1098,plain,
( ~ subset(sF48,sF49)
| sF48 = sF49 ),
inference(resolution,[],[f1091,f367]) ).
fof(f1099,plain,
sF48 = sF49,
inference(forward_subsumption_resolution,[],[f1098,f1090]) ).
fof(f1100,plain,
( $false
| spl50_1 ),
inference(forward_subsumption_resolution,[],[f1099,f744]) ).
fof(f1101,plain,
spl50_1,
inference(avatar_contradiction_clause,[],[f1100]) ).
cnf(s1,plain,
( ~ spl50_1
| ~ spl50_2 ),
inference(sat_conversion,[],[f749]) ).
cnf(s6,plain,
spl50_2,
inference(sat_conversion,[],[f1097]) ).
cnf(s7,plain,
spl50_1,
inference(sat_conversion,[],[f1101]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s6,s7]) ).
fof(f1102,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU181+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 03:57:10 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 6.21/1.98 % (2980923)Detected formulas, will run a generic FOF schedule.
% 6.21/1.98 % (2980931)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1056489529:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.21/1.98 % (2980931)Instruction limit reached!
% 6.21/1.98 % (2980931)------------------------------
% 6.21/1.98 % (2980931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980931)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980931)Termination reason: Instruction limit
% 6.21/1.98 % (2980931)Termination phase: Saturation
% 6.21/1.98 % (2980931)Time elapsed: 0.040 s
% 6.21/1.98 % (2980931)Peak memory usage: 90 MB
% 6.21/1.98 % (2980931)Instructions burned: 110 (million)
% 6.21/1.98 % (2980928)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=3057930388:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.21/1.98 % (2980930)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=1281524331:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.21/1.98 % (2980932)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=545158093:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.21/1.98 % (2980929)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=2299586942:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.21/1.98 % (2980934)dis-21_1_sil=8000:lcm=predicate:random_seed=2112576865: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)
% 6.21/1.98 % (2980933)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=981468852:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.21/1.98 % (2980932)Instruction limit reached!
% 6.21/1.98 % (2980932)------------------------------
% 6.21/1.98 % (2980932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980932)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980932)Termination reason: Instruction limit
% 6.21/1.98 % (2980932)Termination phase: Saturation
% 6.21/1.98 % (2980932)Time elapsed: 0.079 s
% 6.21/1.98 % (2980932)Peak memory usage: 89 MB
% 6.21/1.98 % (2980932)Instructions burned: 120 (million)
% 6.21/1.98 % (2980942)lrs+10_1_sil=8000:sp=occurrence:random_seed=1031619088:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.21/1.98 % (2980934)Instruction limit reached!
% 6.21/1.98 % (2980934)------------------------------
% 6.21/1.98 % (2980934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980934)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980934)Termination reason: Instruction limit
% 6.21/1.98 % (2980934)Termination phase: Saturation
% 6.21/1.98 % (2980934)Time elapsed: 0.087 s
% 6.21/1.98 % (2980934)Peak memory usage: 90 MB
% 6.21/1.98 % (2980934)Instructions burned: 130 (million)
% 6.21/1.98 % (2980933)Instruction limit reached!
% 6.21/1.98 % (2980933)------------------------------
% 6.21/1.98 % (2980933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980933)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980933)Termination reason: Instruction limit
% 6.21/1.98 % (2980933)Termination phase: Saturation
% 6.21/1.98 % (2980933)Time elapsed: 0.099 s
% 6.21/1.98 % (2980933)Peak memory usage: 90 MB
% 6.21/1.98 % (2980933)Instructions burned: 140 (million)
% 6.21/1.98 % (2980942)Instruction limit reached!
% 6.21/1.98 % (2980942)------------------------------
% 6.21/1.98 % (2980942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980942)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980942)Termination reason: Instruction limit
% 6.21/1.98 % (2980942)Termination phase: Saturation
% 6.21/1.98 % (2980942)Time elapsed: 0.100 s
% 6.21/1.98 % (2980942)Peak memory usage: 92 MB
% 6.21/1.98 % (2980942)Instructions burned: 288 (million)
% 6.21/1.98 % (2980945)lrs+1011_1_sil=32000:sp=occurrence:random_seed=916857847:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.21/1.98 % (2980944)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2689711202:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.21/1.98 % (2980946)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=3256118284:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.21/1.98 % (2980947)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2149747609:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.21/1.98 % (2980944)Instruction limit reached!
% 6.21/1.98 % (2980944)------------------------------
% 6.21/1.98 % (2980944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980944)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980944)Termination reason: Instruction limit
% 6.21/1.98 % (2980944)Termination phase: Saturation
% 6.21/1.98 % (2980944)Time elapsed: 0.080 s
% 6.21/1.98 % (2980944)Peak memory usage: 91 MB
% 6.21/1.98 % (2980944)Instructions burned: 158 (million)
% 6.21/1.98 % (2980947)Instruction limit reached!
% 6.21/1.98 % (2980947)------------------------------
% 6.21/1.98 % (2980947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980947)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980947)Termination reason: Instruction limit
% 6.21/1.98 % (2980947)Termination phase: Saturation
% 6.21/1.98 % (2980947)Time elapsed: 0.099 s
% 6.21/1.98 % (2980947)Peak memory usage: 90 MB
% 6.21/1.98 % (2980947)Instructions burned: 296 (million)
% 6.21/1.98 % (2980946)Instruction limit reached!
% 6.21/1.98 % (2980946)------------------------------
% 6.21/1.98 % (2980946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980946)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980946)Termination reason: Instruction limit
% 6.21/1.98 % (2980946)Termination phase: Saturation
% 6.21/1.98 % (2980946)Time elapsed: 0.150 s
% 6.21/1.98 % (2980946)Peak memory usage: 93 MB
% 6.21/1.98 % (2980946)Instructions burned: 249 (million)
% 6.21/1.98 % (2980952)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1198949290:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.21/1.98 % (2980945)Instruction limit reached!
% 6.21/1.98 % (2980945)------------------------------
% 6.21/1.98 % (2980945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980945)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980945)Termination reason: Instruction limit
% 6.21/1.98 % (2980945)Termination phase: Saturation
% 6.21/1.98 % (2980945)Time elapsed: 0.231 s
% 6.21/1.98 % (2980945)Peak memory usage: 92 MB
% 6.21/1.98 % (2980945)Instructions burned: 326 (million)
% 6.21/1.98 % (2980953)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3507927093:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.21/1.98 % (2980953)Instruction limit reached!
% 6.21/1.98 % (2980953)------------------------------
% 6.21/1.98 % (2980953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980953)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980953)Termination reason: Instruction limit
% 6.21/1.98 % (2980953)Termination phase: Saturation
% 6.21/1.98 % (2980953)Time elapsed: 0.036 s
% 6.21/1.98 % (2980953)Peak memory usage: 89 MB
% 6.21/1.98 % (2980953)Instructions burned: 115 (million)
% 6.21/1.98 % (2980954)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1423080878:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.21/1.98 % (2980954)Instruction limit reached!
% 6.21/1.98 % (2980954)------------------------------
% 6.21/1.98 % (2980954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980954)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980954)Termination reason: Instruction limit
% 6.21/1.98 % (2980954)Termination phase: Saturation
% 6.21/1.98 % (2980954)Time elapsed: 0.065 s
% 6.21/1.98 % (2980954)Peak memory usage: 89 MB
% 6.21/1.98 % (2980954)Instructions burned: 129 (million)
% 6.21/1.98 % (2980956)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2355465094:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.21/1.98 % (2980958)lrs+10_1_sil=8000:sp=occurrence:random_seed=3175630329:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.21/1.98 % (2980956)Instruction limit reached!
% 6.21/1.98 % (2980956)------------------------------
% 6.21/1.98 % (2980956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980956)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980956)Termination reason: Instruction limit
% 6.21/1.98 % (2980956)Termination phase: Saturation
% 6.21/1.98 % (2980956)Time elapsed: 0.065 s
% 6.21/1.98 % (2980956)Peak memory usage: 90 MB
% 6.21/1.98 % (2980956)Instructions burned: 115 (million)
% 6.21/1.98 % (2980962)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2783145169:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.21/1.98 % (2980928)First to succeed.
% 6.21/1.98 % (2980928)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2980923"
% 6.21/1.98 % (2980963)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2913702311:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.21/1.98 % (2980958)Instruction limit reached!
% 6.21/1.98 % (2980958)------------------------------
% 6.21/1.98 % (2980958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.98 % (2980958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.98 % (2980958)CaDiCaL version: 2.1.3
% 6.21/1.98 % (2980958)Termination reason: Instruction limit
% 6.21/1.98 % (2980958)Termination phase: Saturation
% 6.21/1.98 % (2980958)Time elapsed: 0.321 s
% 6.21/1.98 % (2980958)Peak memory usage: 99 MB
% 6.21/1.98 % (2980958)Instructions burned: 907 (million)
% 6.21/1.98 % (2980928)Refutation found. Thanks to Tanya!
% 6.21/1.98 % SZS status Theorem for theBenchmark
% 6.21/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.52/2.17 % (2980928)------------------------------
% 8.52/2.17 % (2980928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/2.17 % (2980928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/2.17 % (2980928)CaDiCaL version: 2.1.3
% 8.52/2.17 % (2980928)Termination reason: Refutation
% 8.52/2.17 % (2980928)Time elapsed: 0.707 s
% 8.52/2.17 % (2980928)Peak memory usage: 132 MB
% 8.52/2.17 % (2980928)Instructions burned: 1061 (million)
% 8.52/2.17 % (2980928)------------------------------
% 8.52/2.17 % (2980928)------------------------------
% 8.52/2.17 % (2980923)Success in time 1.119 s
% 8.52/2.17 % Vampire exiting
%------------------------------------------------------------------------------