%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU061+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:47:10 PM UTC 2026
% Result : Theorem 3.23s 1.34s
% Output : Refutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 82 ( 7 unt; 2 def)
% Number of atoms : 310 ( 76 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 375 ( 147 ~; 163 |; 45 &)
% ( 15 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 154 ( 0 sgn 128 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f7,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f32,conjecture,
! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> relation_inverse_image(X1,singleton(X0)) != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> relation_inverse_image(X1,singleton(X0)) != empty_set ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f59,plain,
? [X0,X1] :
( ( in(X0,relation_rng(X1))
<~> relation_inverse_image(X1,singleton(X0)) != empty_set )
& relation(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X6,X8),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0)
| ~ in(X4,X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
& in(sK2(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f74,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f74]) ).
fof(f76,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f77,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( X0 = empty_set
| in(sK4(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f77]) ).
fof(f79,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,[],[f54]) ).
fof(f80,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,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ in(sK5(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X7,sK7(X0,X5))],[f80]) ).
fof(f93,plain,
? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( relation_inverse_image(X1,singleton(X0)) != empty_set
| in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(nnf_transformation,[],[f59]) ).
fof(f94,plain,
? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( relation_inverse_image(X1,singleton(X0)) != empty_set
| in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
( ( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) )
& ( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) )
& relation(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f94]) ).
fof(f102,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f103,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f104,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f108,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f109,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f112,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f113,plain,
! [X0] :
( in(sK4(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f114,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f115,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f151,plain,
relation(sK20),
inference(cnf_transformation,[],[f95]) ).
fof(f152,plain,
( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f153,plain,
( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f162,plain,
! [X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),X0)
| in(X6,relation_inverse_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f104]) ).
fof(f163,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_inverse_image(X0,X1))
| in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f103]) ).
fof(f164,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_inverse_image(X0,X1))
| in(sK2(X0,X1,X6),X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f102]) ).
fof(f165,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f109]) ).
fof(f166,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f165]) ).
fof(f167,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f108]) ).
fof(f168,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f112]) ).
fof(f169,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f115]) ).
fof(f170,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f114]) ).
fof(f172,definition,
( spl21_1
<=> in(sK19,relation_rng(sK20)) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f173,plain,
( ~ in(sK19,relation_rng(sK20))
| spl21_1 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f174,plain,
( in(sK19,relation_rng(sK20))
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl21_2
<=> empty_set = relation_inverse_image(sK20,singleton(sK19)) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f177,plain,
( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( empty_set != relation_inverse_image(sK20,singleton(sK19))
| spl21_2 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f152,f176,f172]) ).
fof(f180,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f153,f176,f172]) ).
fof(f241,plain,
! [X0,X1] :
( relation_inverse_image(X0,X1) = empty_set
| ~ relation(X0)
| in(sK2(X0,X1,sK4(relation_inverse_image(X0,X1))),X1) ),
inference(resolution,[],[f164,f113]) ).
fof(f262,plain,
! [X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK4(relation_inverse_image(X0,X1)),sK2(X0,X1,sK4(relation_inverse_image(X0,X1)))),X0)
| relation_inverse_image(X0,X1) = empty_set ),
inference(resolution,[],[f163,f113]) ).
fof(f632,plain,
! [X0] :
( in(ordered_pair(sK4(relation_inverse_image(sK20,X0)),sK2(sK20,X0,sK4(relation_inverse_image(sK20,X0)))),sK20)
| empty_set = relation_inverse_image(sK20,X0) ),
inference(resolution,[],[f262,f151]) ).
fof(f881,plain,
( empty_set != empty_set
| ~ relation(sK20)
| in(sK2(sK20,singleton(sK19),sK4(relation_inverse_image(sK20,singleton(sK19)))),singleton(sK19))
| spl21_2 ),
inference(superposition,[],[f178,f241]) ).
fof(f882,plain,
( ~ relation(sK20)
| in(sK2(sK20,singleton(sK19),sK4(relation_inverse_image(sK20,singleton(sK19)))),singleton(sK19))
| spl21_2 ),
inference(trivial_inequality_removal,[],[f881]) ).
fof(f884,plain,
( in(sK2(sK20,singleton(sK19),sK4(relation_inverse_image(sK20,singleton(sK19)))),singleton(sK19))
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f882,f151]) ).
fof(f1071,plain,
( sK19 = sK2(sK20,singleton(sK19),sK4(relation_inverse_image(sK20,singleton(sK19))))
| spl21_2 ),
inference(resolution,[],[f884,f167]) ).
fof(f2726,plain,
( in(ordered_pair(sK4(relation_inverse_image(sK20,singleton(sK19))),sK19),sK20)
| empty_set = relation_inverse_image(sK20,singleton(sK19))
| spl21_2 ),
inference(superposition,[],[f632,f1071]) ).
fof(f2727,plain,
( in(ordered_pair(sK4(relation_inverse_image(sK20,singleton(sK19))),sK19),sK20)
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f2726,f178]) ).
fof(f2753,plain,
( in(sK19,relation_rng(sK20))
| ~ relation(sK20)
| spl21_2 ),
inference(resolution,[],[f2727,f169]) ).
fof(f2769,plain,
( ~ relation(sK20)
| spl21_1
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f2753,f173]) ).
fof(f2776,plain,
( $false
| spl21_1
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f2769,f151]) ).
fof(f2777,plain,
( spl21_1
| spl21_2 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2780,plain,
( in(ordered_pair(sK7(sK20,sK19),sK19),sK20)
| ~ relation(sK20)
| ~ spl21_1 ),
inference(resolution,[],[f174,f170]) ).
fof(f2787,plain,
( in(ordered_pair(sK7(sK20,sK19),sK19),sK20)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f2780,f151]) ).
fof(f2817,plain,
( ! [X0] :
( in(sK7(sK20,sK19),relation_inverse_image(sK20,X0))
| ~ in(sK19,X0)
| ~ relation(sK20) )
| ~ spl21_1 ),
inference(resolution,[],[f2787,f162]) ).
fof(f2831,plain,
( ! [X0] :
( ~ in(sK19,X0)
| in(sK7(sK20,sK19),relation_inverse_image(sK20,X0)) )
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f2817,f151]) ).
fof(f3047,plain,
( in(sK7(sK20,sK19),relation_inverse_image(sK20,singleton(sK19)))
| ~ spl21_1 ),
inference(resolution,[],[f2831,f166]) ).
fof(f3049,plain,
( in(sK7(sK20,sK19),empty_set)
| ~ spl21_1
| ~ spl21_2 ),
inference(forward_demodulation,[],[f3047,f177]) ).
fof(f3050,plain,
( $false
| ~ spl21_1
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f3049,f168]) ).
fof(f3051,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_contradiction_clause,[],[f3050]) ).
cnf(s1,plain,
( spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f179]) ).
cnf(s2,plain,
( ~ spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f180]) ).
cnf(s85,plain,
( spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f2777]) ).
cnf(s109,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f3051]) ).
cnf(s111,plain,
spl21_1,
inference(rat,[],[s1,s85]) ).
cnf(s112,plain,
~ spl21_2,
inference(rat,[],[s109,s111]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s2,s112,s111]) ).
fof(f3052,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU061+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:29:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.34 % (4122697)Detected formulas, will run a generic FOF schedule.
% 3.23/1.34 % (4122704)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=192474776:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.23/1.34 % (4122708)dis-21_1_sil=8000:lcm=predicate:random_seed=3280207022: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)
% 3.23/1.34 % (4122705)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3402174629:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.23/1.34 % (4122702)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=281143467:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.23/1.34 % (4122706)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3605100660:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.23/1.34 % (4122703)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=1669833447:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.23/1.34 % (4122707)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2184342173:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.23/1.34 % (4122705)Refutation not found, incomplete strategy
% 3.23/1.34 % (4122705)------------------------------
% 3.23/1.34 % (4122705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.34 % (4122705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.34 % (4122705)CaDiCaL version: 2.1.3
% 3.23/1.34 % (4122705)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.34 % (4122705)Time elapsed: 0.003 s
% 3.23/1.34 % (4122705)Peak memory usage: 88 MB
% 3.23/1.34 % (4122705)Instructions burned: 2 (million)
% 3.23/1.34 % (4122706)Instruction limit reached!
% 3.23/1.34 % (4122706)------------------------------
% 3.23/1.34 % (4122706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.34 % (4122706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.34 % (4122706)CaDiCaL version: 2.1.3
% 3.23/1.34 % (4122706)Termination reason: Instruction limit
% 3.23/1.34 % (4122706)Termination phase: Saturation
% 3.23/1.34 % (4122706)Time elapsed: 0.070 s
% 3.23/1.34 % (4122706)Peak memory usage: 88 MB
% 3.23/1.34 % (4122706)Instructions burned: 121 (million)
% 3.23/1.34 % (4122707)First to succeed.
% 3.23/1.34 % (4122707)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4122697"
% 3.23/1.34 % (4122708)Instruction limit reached!
% 3.23/1.34 % (4122708)------------------------------
% 3.23/1.34 % (4122708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.34 % (4122708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.34 % (4122708)CaDiCaL version: 2.1.3
% 3.23/1.34 % (4122708)Termination reason: Instruction limit
% 3.23/1.34 % (4122708)Termination phase: Saturation
% 3.23/1.34 % (4122708)Time elapsed: 0.076 s
% 3.23/1.34 % (4122708)Peak memory usage: 90 MB
% 3.23/1.34 % (4122708)Instructions burned: 131 (million)
% 3.23/1.34 % (4122716)lrs+10_1_sil=8000:sp=occurrence:random_seed=2887274912:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.23/1.34 % (4122705)------------------------------
% 3.23/1.34 % (4122705)------------------------------
% 3.23/1.34 % (4122717)lrs+10_1_sil=32000:urr=on:br=off:random_seed=809298085:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.23/1.34 % (4122717)Also succeeded, but the first one will report.
% 3.23/1.34 % (4122707)Refutation found. Thanks to Tanya!
% 3.23/1.34 % SZS status Theorem for theBenchmark
% 3.23/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 4.16/1.53 % (4122707)------------------------------
% 4.16/1.53 % (4122707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.53 % (4122707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.53 % (4122707)CaDiCaL version: 2.1.3
% 4.16/1.53 % (4122707)Termination reason: Refutation
% 4.16/1.53 % (4122707)Time elapsed: 0.075 s
% 4.16/1.53 % (4122707)Peak memory usage: 91 MB
% 4.16/1.53 % (4122707)Instructions burned: 108 (million)
% 4.16/1.53 % (4122707)------------------------------
% 4.16/1.53 % (4122707)------------------------------
% 4.16/1.53 % (4122697)Success in time 0.504 s
% 4.16/1.53 % Vampire exiting
%------------------------------------------------------------------------------