%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET768+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:41:52 PM UTC 2026
% Result : Theorem 5.49s 1.77s
% Output : Refutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 166 ( 17 unt; 22 def)
% Number of atoms : 530 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 615 ( 251 ~; 253 |; 60 &)
% ( 30 <=>; 19 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 23 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 152 ( 0 sgn 134 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f14,axiom,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X2,X3,X4] :
( ( member(X2,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X2,X3)
& apply(X1,X3,X4) )
=> apply(X1,X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( member(X3,equivalence_class(X2,X1,X0))
<=> ( member(X3,X1)
& apply(X0,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_class) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( equivalence(X1,X0)
& member(X2,X0)
& member(X3,X0) )
=> ( equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
<=> apply(X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII04) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( equivalence(X1,X0)
& member(X2,X0)
& member(X3,X0) )
=> ( equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
<=> apply(X1,X2,X3) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( equivalence(X1,X0)
=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f23,plain,
? [X0,X1,X2,X3] :
( ( equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
<~> apply(X1,X2,X3) )
& equivalence(X1,X0)
& member(X2,X0)
& member(X3,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ( equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
<~> apply(X1,X2,X3) )
& equivalence(X1,X0)
& member(X2,X0)
& member(X3,X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0) ) )
| ~ equivalence(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0) ) )
| ~ equivalence(X1,X0) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( ( ~ apply(X1,X2,X3)
| ~ equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) )
& ( apply(X1,X2,X3)
| equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) )
& equivalence(X1,X0)
& member(X2,X0)
& member(X3,X0) ),
inference(nnf_transformation,[],[f24]) ).
fof(f29,plain,
? [X0,X1,X2,X3] :
( ( ~ apply(X1,X2,X3)
| ~ equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) )
& ( apply(X1,X2,X3)
| equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) )
& equivalence(X1,X0)
& member(X2,X0)
& member(X3,X0) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
( ( ~ apply(sK1,sK2,sK3)
| ~ equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) )
& ( apply(sK1,sK2,sK3)
| equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) )
& equivalence(sK1,sK0)
& member(sK2,sK0)
& member(sK3,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| ~ equal_set(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| ~ equal_set(X0,X1) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X2,X1,X0))
| ~ member(X3,X1)
| ~ apply(X0,X2,X3) )
& ( ( member(X3,X1)
& apply(X0,X2,X3) )
| ~ member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X2,X1,X0))
| ~ member(X3,X1)
| ~ apply(X0,X2,X3) )
& ( ( member(X3,X1)
& apply(X0,X2,X3) )
| ~ member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(flattening,[],[f33]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f37]) ).
fof(f42,plain,
member(sK3,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
member(sK2,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
equivalence(sK1,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
( apply(sK1,sK2,sK3)
| equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
( ~ apply(sK1,sK2,sK3)
| ~ equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ equal_set(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f49,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f50,plain,
! [X0,X1,X6,X7,X5] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0)
| ~ equivalence(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
! [X3,X0,X1,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0)
| ~ equivalence(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X2,X0,X1] :
( apply(X1,X2,X2)
| ~ member(X2,X0)
| ~ equivalence(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( apply(X0,X2,X3)
| ~ member(X3,equivalence_class(X2,X1,X0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,equivalence_class(X2,X1,X0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( member(X3,equivalence_class(X2,X1,X0))
| ~ member(X3,X1)
| ~ apply(X0,X2,X3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f67,definition,
( spl5_1
<=> member(sK3,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f69,plain,
( member(sK3,sK0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
spl5_1,
inference(avatar_split_clause,[],[f42,f67]) ).
fof(f72,definition,
( spl5_2
<=> member(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f75,plain,
spl5_2,
inference(avatar_split_clause,[],[f43,f72]) ).
fof(f77,definition,
( spl5_3
<=> equivalence(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f79,plain,
( equivalence(sK1,sK0)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
spl5_3,
inference(avatar_split_clause,[],[f44,f77]) ).
fof(f82,definition,
( spl5_4
<=> equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f86,definition,
( spl5_5
<=> apply(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f87,plain,
( ~ apply(sK1,sK2,sK3)
| spl5_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( apply(sK1,sK2,sK3)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl5_4
| spl5_5 ),
inference(avatar_split_clause,[],[f45,f86,f82]) ).
fof(f90,plain,
( ~ spl5_4
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f46,f86,f82]) ).
fof(f92,plain,
( ! [X2,X0,X1] :
( ~ equivalence(X0,sK0)
| ~ apply(X0,X1,sK3)
| ~ apply(X0,sK3,X2)
| ~ member(X1,sK0)
| ~ member(X2,sK0)
| apply(X0,X1,X2) )
| ~ spl5_1 ),
inference(resolution,[],[f69,f50]) ).
fof(f97,plain,
( ! [X0,X1] :
( ~ apply(X1,X0,sK3)
| member(sK3,equivalence_class(X0,sK0,X1)) )
| ~ spl5_1 ),
inference(resolution,[],[f69,f55]) ).
fof(f109,plain,
( ! [X0] :
( apply(sK1,X0,X0)
| ~ member(X0,sK0) )
| ~ spl5_3 ),
inference(resolution,[],[f79,f52]) ).
fof(f115,definition,
( spl5_6
<=> ! [X0] :
( ~ member(sK2,X0)
| ~ equivalence(sK1,X0)
| ~ member(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] :
( ~ equivalence(sK1,X0)
| ~ member(sK2,X0)
| ~ member(sK3,X0) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl5_7
<=> apply(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f120,plain,
( apply(sK1,sK3,sK2)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f124,definition,
( spl5_8
<=> subset(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f125,plain,
( subset(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1))
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( ~ subset(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1))
| spl5_8 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl5_9
<=> subset(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f130,plain,
( ~ subset(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))
| spl5_9 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f172,definition,
( spl5_12
<=> member(sK3,equivalence_class(sK2,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f174,plain,
( member(sK3,equivalence_class(sK2,sK0,sK1))
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,plain,
( ~ member(sK2,sK0)
| ~ member(sK3,sK0)
| ~ spl5_3
| ~ spl5_6 ),
inference(resolution,[],[f116,f79]) ).
fof(f177,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f176,f115,f77,f72,f67]) ).
fof(f182,plain,
( member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),equivalence_class(sK3,sK0,sK1))
| spl5_8 ),
inference(resolution,[],[f126,f59]) ).
fof(f183,plain,
( ~ member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),equivalence_class(sK2,sK0,sK1))
| spl5_8 ),
inference(resolution,[],[f126,f60]) ).
fof(f185,plain,
( ~ equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))
| spl5_8 ),
inference(resolution,[],[f126,f47]) ).
fof(f194,definition,
( spl5_14
<=> member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),equivalence_class(sK2,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f196,plain,
( ~ member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),equivalence_class(sK2,sK0,sK1))
| spl5_14 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f197,plain,
( ~ spl5_14
| spl5_8 ),
inference(avatar_split_clause,[],[f183,f124,f194]) ).
fof(f199,definition,
( spl5_15
<=> member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),equivalence_class(sK3,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
fof(f201,plain,
( member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),equivalence_class(sK3,sK0,sK1))
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( spl5_15
| spl5_8 ),
inference(avatar_split_clause,[],[f182,f124,f199]) ).
fof(f210,plain,
( member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK2,sK0,sK1))
| spl5_9 ),
inference(resolution,[],[f130,f59]) ).
fof(f211,plain,
( ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK3,sK0,sK1))
| spl5_9 ),
inference(resolution,[],[f130,f60]) ).
fof(f218,definition,
( spl5_16
<=> member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK3,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
fof(f220,plain,
( ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK3,sK0,sK1))
| spl5_16 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,plain,
( ~ spl5_16
| spl5_9 ),
inference(avatar_split_clause,[],[f211,f128,f218]) ).
fof(f223,definition,
( spl5_17
<=> member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK2,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_17])],[avatar_definition]) ).
fof(f225,plain,
( member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK2,sK0,sK1))
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,plain,
( spl5_17
| spl5_9 ),
inference(avatar_split_clause,[],[f210,f128,f223]) ).
fof(f243,plain,
( member(sK3,equivalence_class(sK3,sK0,sK1))
| ~ member(sK3,sK0)
| ~ spl5_1
| ~ spl5_3 ),
inference(resolution,[],[f97,f109]) ).
fof(f245,definition,
( spl5_18
<=> member(sK3,equivalence_class(sK3,sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
fof(f247,plain,
( member(sK3,equivalence_class(sK3,sK0,sK1))
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl5_1
| spl5_18
| ~ spl5_1
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f243,f77,f67,f245,f67]) ).
fof(f265,plain,
( ~ spl5_4
| spl5_8 ),
inference(avatar_split_clause,[],[f185,f124,f82]) ).
fof(f344,plain,
( ! [X0] : ~ member(sK3,equivalence_class(sK2,X0,sK1))
| spl5_5 ),
inference(resolution,[],[f87,f53]) ).
fof(f365,plain,
( ! [X0,X1] :
( apply(sK1,X0,X1)
| ~ apply(sK1,sK3,X1)
| ~ member(X0,sK0)
| ~ member(X1,sK0)
| ~ apply(sK1,X0,sK3) )
| ~ spl5_1
| ~ spl5_3 ),
inference(resolution,[],[f92,f79]) ).
fof(f390,plain,
( $false
| spl5_5
| ~ spl5_12 ),
inference(resolution,[],[f174,f344]) ).
fof(f401,plain,
( spl5_5
| ~ spl5_12 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f407,plain,
( ! [X0] :
( apply(sK1,sK3,sK2)
| ~ member(sK2,X0)
| ~ member(sK3,X0)
| ~ equivalence(sK1,X0) )
| ~ spl5_5 ),
inference(resolution,[],[f88,f51]) ).
fof(f408,plain,
( spl5_6
| spl5_7
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f407,f86,f118,f115]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ equivalence(sK1,X1)
| ~ apply(sK1,sK2,X0)
| ~ member(sK3,X1)
| ~ member(sK2,X1)
| ~ member(X0,X1)
| apply(sK1,sK3,X0) )
| ~ spl5_7 ),
inference(resolution,[],[f120,f50]) ).
fof(f459,plain,
( ! [X0] :
( ~ subset(equivalence_class(sK3,sK0,sK1),X0)
| member(sK3,X0) )
| ~ spl5_18 ),
inference(resolution,[],[f247,f58]) ).
fof(f631,plain,
( ~ member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),sK0)
| ~ apply(sK1,sK2,sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)))
| spl5_14 ),
inference(resolution,[],[f196,f55]) ).
fof(f635,definition,
( spl5_27
<=> apply(sK1,sK2,sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition]) ).
fof(f637,plain,
( ~ apply(sK1,sK2,sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)))
| spl5_27 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f639,definition,
( spl5_28
<=> member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),sK0) ),
introduced(definition,[new_symbols(definition,[spl5_28])],[avatar_definition]) ).
fof(f642,plain,
( ~ spl5_27
| ~ spl5_28
| spl5_14 ),
inference(avatar_split_clause,[],[f631,f194,f639,f635]) ).
fof(f643,plain,
( apply(sK1,sK3,sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)))
| ~ spl5_15 ),
inference(resolution,[],[f201,f53]) ).
fof(f644,plain,
( member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),sK0)
| ~ spl5_15 ),
inference(resolution,[],[f201,f54]) ).
fof(f653,plain,
( spl5_28
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f644,f199,f639]) ).
fof(f655,definition,
( spl5_29
<=> apply(sK1,sK3,sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl5_29])],[avatar_definition]) ).
fof(f658,plain,
( spl5_29
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f643,f199,f655]) ).
fof(f659,plain,
( ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0)
| ~ apply(sK1,sK3,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| spl5_16 ),
inference(resolution,[],[f220,f55]) ).
fof(f663,definition,
( spl5_30
<=> apply(sK1,sK3,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl5_30])],[avatar_definition]) ).
fof(f665,plain,
( ~ apply(sK1,sK3,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| spl5_30 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f667,definition,
( spl5_31
<=> member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
introduced(definition,[new_symbols(definition,[spl5_31])],[avatar_definition]) ).
fof(f670,plain,
( ~ spl5_30
| ~ spl5_31
| spl5_16 ),
inference(avatar_split_clause,[],[f659,f218,f667,f663]) ).
fof(f671,plain,
( apply(sK1,sK2,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| ~ spl5_17 ),
inference(resolution,[],[f225,f53]) ).
fof(f672,plain,
( member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0)
| ~ spl5_17 ),
inference(resolution,[],[f225,f54]) ).
fof(f681,plain,
( spl5_31
| ~ spl5_17 ),
inference(avatar_split_clause,[],[f672,f223,f667]) ).
fof(f683,definition,
( spl5_32
<=> apply(sK1,sK2,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl5_32])],[avatar_definition]) ).
fof(f686,plain,
( spl5_32
| ~ spl5_17 ),
inference(avatar_split_clause,[],[f671,f223,f683]) ).
fof(f816,plain,
( ! [X0] :
( ~ apply(sK1,sK2,X0)
| ~ member(sK3,sK0)
| ~ member(sK2,sK0)
| ~ member(X0,sK0)
| apply(sK1,sK3,X0) )
| ~ spl5_3
| ~ spl5_7 ),
inference(resolution,[],[f414,f79]) ).
fof(f818,definition,
( spl5_41
<=> ! [X0] :
( ~ apply(sK1,sK2,X0)
| apply(sK1,sK3,X0)
| ~ member(X0,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl5_41])],[avatar_definition]) ).
fof(f819,plain,
( ! [X0] :
( apply(sK1,sK3,X0)
| ~ apply(sK1,sK2,X0)
| ~ member(X0,sK0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f820,plain,
( ~ spl5_2
| ~ spl5_1
| spl5_41
| ~ spl5_3
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f816,f118,f77,f818,f67,f72]) ).
fof(f1187,plain,
( ~ apply(sK1,sK3,sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)))
| ~ member(sK2,sK0)
| ~ member(sK4(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1)),sK0)
| ~ apply(sK1,sK2,sK3)
| ~ spl5_1
| ~ spl5_3
| spl5_27 ),
inference(resolution,[],[f637,f365]) ).
fof(f1204,plain,
( ~ spl5_5
| ~ spl5_28
| ~ spl5_2
| ~ spl5_29
| ~ spl5_1
| ~ spl5_3
| spl5_27 ),
inference(avatar_split_clause,[],[f1187,f635,f77,f67,f655,f72,f639,f86]) ).
fof(f1221,plain,
( member(sK3,equivalence_class(sK2,sK0,sK1))
| ~ spl5_8
| ~ spl5_18 ),
inference(resolution,[],[f125,f459]) ).
fof(f1223,plain,
( equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))
| ~ subset(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))
| ~ spl5_8 ),
inference(resolution,[],[f125,f49]) ).
fof(f1232,plain,
( ~ spl5_9
| spl5_4
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f1223,f124,f82,f128]) ).
fof(f1304,plain,
( ~ apply(sK1,sK2,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0)
| spl5_30
| ~ spl5_41 ),
inference(resolution,[],[f665,f819]) ).
fof(f1341,plain,
( ~ spl5_31
| ~ spl5_32
| spl5_30
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f1304,f818,f663,f683,f667]) ).
fof(f1356,plain,
( spl5_12
| ~ spl5_8
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f1221,f245,f124,f172]) ).
cnf(s1,plain,
spl5_1,
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f75]) ).
cnf(s3,plain,
spl5_3,
inference(sat_conversion,[],[f80]) ).
cnf(s4,plain,
( spl5_4
| spl5_5 ),
inference(sat_conversion,[],[f89]) ).
cnf(s5,plain,
( ~ spl5_4
| ~ spl5_5 ),
inference(sat_conversion,[],[f90]) ).
cnf(s11,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_6 ),
inference(sat_conversion,[],[f177]) ).
cnf(s13,plain,
( spl5_8
| ~ spl5_14 ),
inference(sat_conversion,[],[f197]) ).
cnf(s14,plain,
( spl5_8
| spl5_15 ),
inference(sat_conversion,[],[f202]) ).
cnf(s18,plain,
( spl5_9
| ~ spl5_16 ),
inference(sat_conversion,[],[f221]) ).
cnf(s19,plain,
( spl5_9
| spl5_17 ),
inference(sat_conversion,[],[f226]) ).
cnf(s24,plain,
( ~ spl5_1
| ~ spl5_1
| ~ spl5_3
| spl5_18 ),
inference(sat_conversion,[],[f248]) ).
cnf(s25,plain,
( ~ spl5_1
| ~ spl5_3
| spl5_18 ),
inference(rat,[],[s24]) ).
cnf(s30,plain,
( ~ spl5_4
| spl5_8 ),
inference(sat_conversion,[],[f265]) ).
cnf(s57,plain,
( spl5_5
| ~ spl5_12 ),
inference(sat_conversion,[],[f401]) ).
cnf(s63,plain,
( ~ spl5_5
| spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f408]) ).
cnf(s81,plain,
( spl5_14
| ~ spl5_27
| ~ spl5_28 ),
inference(sat_conversion,[],[f642]) ).
cnf(s82,plain,
( ~ spl5_15
| spl5_28 ),
inference(sat_conversion,[],[f653]) ).
cnf(s83,plain,
( ~ spl5_15
| spl5_29 ),
inference(sat_conversion,[],[f658]) ).
cnf(s84,plain,
( spl5_16
| ~ spl5_30
| ~ spl5_31 ),
inference(sat_conversion,[],[f670]) ).
cnf(s85,plain,
( ~ spl5_17
| spl5_31 ),
inference(sat_conversion,[],[f681]) ).
cnf(s86,plain,
( ~ spl5_17
| spl5_32 ),
inference(sat_conversion,[],[f686]) ).
cnf(s101,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_7
| spl5_41 ),
inference(sat_conversion,[],[f820]) ).
cnf(s139,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_5
| spl5_27
| ~ spl5_28
| ~ spl5_29 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s149,plain,
( spl5_4
| ~ spl5_8
| ~ spl5_9 ),
inference(sat_conversion,[],[f1232]) ).
cnf(s165,plain,
( spl5_30
| ~ spl5_31
| ~ spl5_32
| ~ spl5_41 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s181,plain,
( ~ spl5_8
| spl5_12
| ~ spl5_18 ),
inference(sat_conversion,[],[f1356]) ).
cnf(s199,plain,
spl5_18,
inference(rat,[],[s25,s3,s1]) ).
cnf(s200,plain,
~ spl5_6,
inference(rat,[],[s11,s2,s3,s1]) ).
cnf(s203,plain,
( spl5_8
| ~ spl5_5 ),
inference(rat,[],[s81,s139,s82,s83,s13,s14,s3,s2,s1]) ).
cnf(s204,plain,
spl5_4,
inference(rat,[],[s84,s165,s85,s86,s18,s19,s149,s203,s101,s63,s4,s3,s2,s1,s200]) ).
cnf(s206,plain,
spl5_8,
inference(rat,[],[s30,s204]) ).
cnf(s207,plain,
~ spl5_5,
inference(rat,[],[s5,s204]) ).
cnf(s208,plain,
spl5_12,
inference(rat,[],[s181,s199,s206]) ).
cnf(s213,plain,
$false,
inference(rat,[],[s57,s208,s207]) ).
fof(f1361,plain,
$false,
inference(avatar_sat_refutation,[],[s213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET768+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 02:45:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.49/1.77 % (1390622)Detected formulas, will run a generic FOF schedule.
% 5.49/1.77 % (1390631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2598766157:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.49/1.77 % (1390632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=542488159:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.49/1.77 % (1390633)dis-21_1_sil=8000:lcm=predicate:random_seed=2757089588:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.49/1.77 % (1390630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=234392861:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.49/1.77 % (1390629)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=2107086975:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.49/1.77 % (1390628)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=2597826525:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.49/1.77 % (1390627)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=2770645350:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.49/1.77 % (1390630)Refutation not found, incomplete strategy
% 5.49/1.77 % (1390630)------------------------------
% 5.49/1.77 % (1390630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390630)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390630)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.77 % (1390630)Time elapsed: 0.002 s
% 5.49/1.77 % (1390630)Peak memory usage: 88 MB
% 5.49/1.77 % (1390630)Instructions burned: 1 (million)
% 5.49/1.77 % (1390631)Instruction limit reached!
% 5.49/1.77 % (1390631)------------------------------
% 5.49/1.77 % (1390631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390631)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390631)Termination reason: Instruction limit
% 5.49/1.77 % (1390631)Termination phase: Saturation
% 5.49/1.77 % (1390631)Time elapsed: 0.039 s
% 5.49/1.77 % (1390631)Peak memory usage: 88 MB
% 5.49/1.77 % (1390631)Instructions burned: 120 (million)
% 5.49/1.77 % (1390633)Instruction limit reached!
% 5.49/1.77 % (1390633)------------------------------
% 5.49/1.77 % (1390633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390633)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390633)Termination reason: Instruction limit
% 5.49/1.77 % (1390633)Termination phase: Saturation
% 5.49/1.77 % (1390633)Time elapsed: 0.083 s
% 5.49/1.77 % (1390633)Peak memory usage: 89 MB
% 5.49/1.77 % (1390633)Instructions burned: 129 (million)
% 5.49/1.77 % (1390632)Instruction limit reached!
% 5.49/1.77 % (1390632)------------------------------
% 5.49/1.77 % (1390632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390632)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390632)Termination reason: Instruction limit
% 5.49/1.77 % (1390632)Termination phase: Saturation
% 5.49/1.77 % (1390632)Time elapsed: 0.095 s
% 5.49/1.77 % (1390632)Peak memory usage: 89 MB
% 5.49/1.77 % (1390632)Instructions burned: 140 (million)
% 5.49/1.77 % (1390641)lrs+10_1_sil=8000:sp=occurrence:random_seed=4110436007:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.49/1.77 % (1390641)Instruction limit reached!
% 5.49/1.77 % (1390641)------------------------------
% 5.49/1.77 % (1390641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390641)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390641)Termination reason: Instruction limit
% 5.49/1.77 % (1390641)Termination phase: Saturation
% 5.49/1.77 % (1390641)Time elapsed: 0.096 s
% 5.49/1.77 % (1390641)Peak memory usage: 91 MB
% 5.49/1.77 % (1390641)Instructions burned: 287 (million)
% 5.49/1.77 % (1390642)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3764472013:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.49/1.77 % (1390630)------------------------------
% 5.49/1.77 % (1390630)------------------------------
% 5.49/1.77 % (1390643)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3476088809:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.49/1.77 % (1390642)Instruction limit reached!
% 5.49/1.77 % (1390642)------------------------------
% 5.49/1.77 % (1390642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390642)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390642)Termination reason: Instruction limit
% 5.49/1.77 % (1390642)Termination phase: Saturation
% 5.49/1.77 % (1390642)Time elapsed: 0.073 s
% 5.49/1.77 % (1390642)Peak memory usage: 88 MB
% 5.49/1.77 % (1390642)Instructions burned: 158 (million)
% 5.49/1.77 % (1390646)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=997264407:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.49/1.77 % (1390648)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4102868410:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.49/1.77 % (1390648)Refutation not found, incomplete strategy
% 5.49/1.77 % (1390648)------------------------------
% 5.49/1.77 % (1390648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390648)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390648)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.77 % (1390648)Time elapsed: 0.002 s
% 5.49/1.77 % (1390648)Peak memory usage: 88 MB
% 5.49/1.77 % (1390648)Instructions burned: 1 (million)
% 5.49/1.77 % (1390646)Instruction limit reached!
% 5.49/1.77 % (1390646)------------------------------
% 5.49/1.77 % (1390646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390646)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390646)Termination reason: Instruction limit
% 5.49/1.77 % (1390646)Termination phase: Saturation
% 5.49/1.77 % (1390646)Time elapsed: 0.065 s
% 5.49/1.77 % (1390646)Peak memory usage: 89 MB
% 5.49/1.77 % (1390646)Instructions burned: 250 (million)
% 5.49/1.77 % (1390649)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1112908520:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.49/1.77 % (1390643)Instruction limit reached!
% 5.49/1.77 % (1390643)------------------------------
% 5.49/1.77 % (1390643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390643)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390643)Termination reason: Instruction limit
% 5.49/1.77 % (1390643)Termination phase: Saturation
% 5.49/1.77 % (1390643)Time elapsed: 0.206 s
% 5.49/1.77 % (1390643)Peak memory usage: 91 MB
% 5.49/1.77 % (1390643)Instructions burned: 326 (million)
% 5.49/1.77 % (1390652)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2971975155:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.49/1.77 % (1390652)First to succeed.
% 5.49/1.77 % (1390652)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1390622"
% 5.49/1.77 % (1390654)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3689222716:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.49/1.77 % (1390648)------------------------------
% 5.49/1.77 % (1390648)------------------------------
% 5.49/1.77 % (1390627)Also succeeded, but the first one will report.
% 5.49/1.77 % (1390628)Also succeeded, but the first one will report.
% 5.49/1.77 % (1390654)Instruction limit reached!
% 5.49/1.77 % (1390654)------------------------------
% 5.49/1.77 % (1390654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.77 % (1390654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.77 % (1390654)CaDiCaL version: 2.1.3
% 5.49/1.77 % (1390654)Termination reason: Instruction limit
% 5.49/1.77 % (1390654)Termination phase: Saturation
% 5.49/1.77 % (1390654)Time elapsed: 0.071 s
% 5.49/1.77 % (1390654)Peak memory usage: 89 MB
% 5.49/1.77 % (1390654)Instructions burned: 129 (million)
% 5.49/1.77 % (1390652)Refutation found. Thanks to Tanya!
% 5.49/1.77 % SZS status Theorem for theBenchmark
% 5.49/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 6.91/1.97 % (1390652)------------------------------
% 6.91/1.97 % (1390652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.97 % (1390652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.97 % (1390652)CaDiCaL version: 2.1.3
% 6.91/1.97 % (1390652)Termination reason: Refutation
% 6.91/1.97 % (1390652)Time elapsed: 0.019 s
% 6.91/1.97 % (1390652)Peak memory usage: 90 MB
% 6.91/1.97 % (1390652)Instructions burned: 49 (million)
% 6.91/1.97 % (1390652)------------------------------
% 6.91/1.97 % (1390652)------------------------------
% 6.91/1.97 % (1390622)Success in time 0.898 s
% 6.91/1.97 % Vampire exiting
%------------------------------------------------------------------------------