%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN036+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:49:02 PM UTC 2026
% Result : Theorem 2.98s 1.11s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 209 ( 14 unt; 30 def)
% Number of atoms : 807 ( 0 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 963 ( 365 ~; 473 |; 67 &)
% ( 56 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 31 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-1 aty)
% Number of variables : 220 ( 0 sgn 156 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) )
<~> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,definition,
( sP0
<=> ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f5,definition,
( sP1
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f6,plain,
( sP0
<~> sP1 ),
inference(definition_folding,[],[f3,f5,f4]) ).
fof(f7,plain,
( ( sP1
| ( ( ( ( ? [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_q(X7)
| ? [X6] : big_p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X7] : big_q(X7)
| ! [X6] : ~ big_p(X6) ) )
| ? [X4] :
! [X5] :
( ( big_q(X4)
| ~ big_q(X5) )
& ( big_q(X5)
| ~ big_q(X4) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( big_q(X4)
| ~ big_q(X5) )
& ( big_q(X5)
| ~ big_q(X4) ) )
| ( ( ? [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_q(X7)
| ? [X6] : big_p(X6) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X7] : big_q(X7)
| ! [X6] : ~ big_p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f8,plain,
( ( sP1
| ( ( ( ( ? [X0] : ~ big_q(X0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_q(X2)
| ? [X3] : big_p(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X8] : big_q(X8)
| ! [X9] : ~ big_p(X9) ) )
| ? [X10] :
! [X11] :
( ( big_q(X10)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( big_q(X12)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(X12) ) )
| ( ( ? [X14] : ~ big_q(X14)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_q(X16)
| ? [X17] : big_p(X17) ) ) )
& ( ( ( ? [X18] : big_p(X18)
| ? [X19] : ~ big_q(X19) )
& ( ! [X20] : big_q(X20)
| ! [X21] : ~ big_p(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ big_q(X23)
| ~ big_q(X22) )
& ( big_q(X23)
| big_q(X22) ) ) ) )
| ~ sP1 ) ),
inference(rectify,[],[f7]) ).
fof(f9,plain,
( ( sP1
| ( ( ( ( ~ big_q(sK2)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_q(X2)
| big_p(sK3) ) )
| ! [X4] :
( ( ~ big_q(sK4(X4))
| ~ big_q(X4) )
& ( big_q(sK4(X4))
| big_q(X4) ) ) )
& ( ( ( big_p(sK5)
| ~ big_q(sK6) )
& ( ! [X8] : big_q(X8)
| ! [X9] : ~ big_p(X9) ) )
| ! [X11] :
( ( big_q(sK7)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(sK7) ) ) ) ) )
& ( ( ( ! [X13] :
( ( big_q(sK8)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(sK8) ) )
| ( ( ~ big_q(sK9)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_q(X16)
| big_p(sK10) ) ) )
& ( ( ( big_p(sK11)
| ~ big_q(sK12) )
& ( ! [X20] : big_q(X20)
| ! [X21] : ~ big_p(X21) ) )
| ! [X22] :
( ( ~ big_q(sK13(X22))
| ~ big_q(X22) )
& ( big_q(sK13(X22))
| big_q(X22) ) ) ) )
| ~ sP1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK2),skolemize(X3,sK3),skolemize(X5,sK4(X4)),skolemize(X6,sK5),skolemize(X7,sK6),skolemize(X10,sK7),skolemize(X12,sK8),skolemize(X14,sK9),skolemize(X17,sK10),skolemize(X18,sK11),skolemize(X19,sK12),skolemize(X23,sK13(X22))],[f8]) ).
fof(f10,plain,
( ( sP0
| ( ( ( ( ? [X3] : ~ big_p(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_p(X3)
| ? [X2] : big_q(X2) ) )
| ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_p(X3) )
& ( ! [X3] : big_p(X3)
| ! [X2] : ~ big_q(X2) ) )
| ? [X0] :
! [X1] :
( ( big_p(X0)
| ~ big_p(X1) )
& ( big_p(X1)
| ~ big_p(X0) ) ) ) ) )
& ( ( ( ? [X0] :
! [X1] :
( ( big_p(X0)
| ~ big_p(X1) )
& ( big_p(X1)
| ~ big_p(X0) ) )
| ( ( ? [X3] : ~ big_p(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_p(X3)
| ? [X2] : big_q(X2) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_p(X3) )
& ( ! [X3] : big_p(X3)
| ! [X2] : ~ big_q(X2) ) )
| ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f11,plain,
( ( sP0
| ( ( ( ( ? [X0] : ~ big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_p(X2)
| ? [X3] : big_q(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_p(X5)
| ~ big_p(X4) )
& ( big_p(X5)
| big_p(X4) ) ) )
& ( ( ( ? [X6] : big_q(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_q(X9) ) )
| ? [X10] :
! [X11] :
( ( big_p(X10)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( big_p(X12)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(X12) ) )
| ( ( ? [X14] : ~ big_p(X14)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_p(X16)
| ? [X17] : big_q(X17) ) ) )
& ( ( ( ? [X18] : big_q(X18)
| ? [X19] : ~ big_p(X19) )
& ( ! [X20] : big_p(X20)
| ! [X21] : ~ big_q(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ big_p(X23)
| ~ big_p(X22) )
& ( big_p(X23)
| big_p(X22) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f10]) ).
fof(f12,plain,
( ( sP0
| ( ( ( ( ~ big_p(sK14)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_p(X2)
| big_q(sK15) ) )
| ! [X4] :
( ( ~ big_p(sK16(X4))
| ~ big_p(X4) )
& ( big_p(sK16(X4))
| big_p(X4) ) ) )
& ( ( ( big_q(sK17)
| ~ big_p(sK18) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_q(X9) ) )
| ! [X11] :
( ( big_p(sK19)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(sK19) ) ) ) ) )
& ( ( ( ! [X13] :
( ( big_p(sK20)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(sK20) ) )
| ( ( ~ big_p(sK21)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_p(X16)
| big_q(sK22) ) ) )
& ( ( ( big_q(sK23)
| ~ big_p(sK24) )
& ( ! [X20] : big_p(X20)
| ! [X21] : ~ big_q(X21) ) )
| ! [X22] :
( ( ~ big_p(sK25(X22))
| ~ big_p(X22) )
& ( big_p(sK25(X22))
| big_p(X22) ) ) ) )
| ~ sP0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK14),skolemize(X3,sK15),skolemize(X5,sK16(X4)),skolemize(X6,sK17),skolemize(X7,sK18),skolemize(X10,sK19),skolemize(X12,sK20),skolemize(X14,sK21),skolemize(X17,sK22),skolemize(X18,sK23),skolemize(X19,sK24),skolemize(X23,sK25(X22))],[f11]) ).
fof(f13,plain,
( ( ~ sP1
| ~ sP0 )
& ( sP1
| sP0 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X21,X22,X20] :
( big_q(X20)
| ~ big_p(X21)
| big_q(sK13(X22))
| big_q(X22)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X22] :
( big_p(sK11)
| ~ big_q(sK12)
| ~ big_q(sK13(X22))
| ~ big_q(X22)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X16,X13] :
( big_q(X13)
| ~ big_q(sK8)
| big_q(X16)
| big_p(sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X16,X13] :
( big_q(sK8)
| ~ big_q(X13)
| big_q(X16)
| big_p(sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X11,X8,X9] :
( sP1
| big_q(X8)
| ~ big_p(X9)
| big_q(X11)
| ~ big_q(sK7) ),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X11,X8,X9] :
( sP1
| big_q(X8)
| ~ big_p(X9)
| big_q(sK7)
| ~ big_q(X11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
! [X2,X4] :
( sP1
| big_q(X2)
| big_p(sK3)
| big_q(sK4(X4))
| big_q(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X1,X4] :
( sP1
| ~ big_q(sK2)
| ~ big_p(X1)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X21,X22,X20] :
( big_p(X20)
| ~ big_q(X21)
| big_p(sK25(X22))
| big_p(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X22] :
( big_q(sK23)
| ~ big_p(sK24)
| ~ big_p(sK25(X22))
| ~ big_p(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X16,X13] :
( big_p(X13)
| ~ big_p(sK20)
| big_p(X16)
| big_q(sK22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f36,plain,
! [X16,X13] :
( big_p(sK20)
| ~ big_p(X13)
| big_p(X16)
| big_q(sK22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X11,X8,X9] :
( sP0
| big_p(X8)
| ~ big_q(X9)
| big_p(X11)
| ~ big_p(sK19) ),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X11,X8,X9] :
( sP0
| big_p(X8)
| ~ big_q(X9)
| big_p(sK19)
| ~ big_p(X11) ),
inference(cnf_transformation,[],[f12]) ).
fof(f42,plain,
! [X2,X4] :
( sP0
| big_p(X2)
| big_q(sK15)
| big_p(sK16(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
! [X1,X4] :
( sP0
| ~ big_p(sK14)
| ~ big_q(X1)
| ~ big_p(sK16(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f12]) ).
fof(f46,plain,
( sP1
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f47,plain,
( ~ sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f49,definition,
( spl26_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f53,definition,
( spl26_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f56,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f46,f53,f49]) ).
fof(f57,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f47,f53,f49]) ).
fof(f59,definition,
( spl26_3
<=> ! [X22] :
( big_p(sK25(X22))
| big_p(X22) ) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
fof(f60,plain,
( ! [X22] :
( big_p(sK25(X22))
| big_p(X22) )
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl26_4
<=> ! [X21] : ~ big_q(X21) ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f63,plain,
( ! [X21] : ~ big_q(X21)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,definition,
( spl26_5
<=> ! [X20] : big_p(X20) ),
introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).
fof(f66,plain,
( ! [X20] : big_p(X20)
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ spl26_1
| spl26_3
| spl26_4
| spl26_5 ),
inference(avatar_split_clause,[],[f30,f65,f62,f59,f49]) ).
fof(f69,definition,
( spl26_6
<=> ! [X22] :
( ~ big_p(sK25(X22))
| ~ big_p(X22) ) ),
introduced(definition,[new_symbols(definition,[spl26_6])],[avatar_definition]) ).
fof(f70,plain,
( ! [X22] :
( ~ big_p(sK25(X22))
| ~ big_p(X22) )
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl26_7
<=> big_p(sK24) ),
introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).
fof(f75,plain,
( ~ big_p(sK24)
| spl26_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl26_8
<=> big_q(sK23) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f79,plain,
( big_q(sK23)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,plain,
( ~ spl26_1
| spl26_6
| ~ spl26_7
| spl26_8 ),
inference(avatar_split_clause,[],[f33,f77,f73,f69,f49]) ).
fof(f83,definition,
( spl26_9
<=> big_q(sK22) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f85,plain,
( big_q(sK22)
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl26_10
<=> big_p(sK20) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f90,plain,
( ~ spl26_1
| spl26_9
| spl26_5
| ~ spl26_10
| spl26_5 ),
inference(avatar_split_clause,[],[f34,f65,f87,f65,f83,f49]) ).
fof(f97,definition,
( spl26_12
<=> ! [X13] : ~ big_p(X13) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
fof(f98,plain,
( ! [X13] : ~ big_p(X13)
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f99,plain,
( ~ spl26_1
| spl26_9
| spl26_5
| spl26_12
| spl26_10 ),
inference(avatar_split_clause,[],[f36,f87,f97,f65,f83,f49]) ).
fof(f102,definition,
( spl26_13
<=> big_p(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_13])],[avatar_definition]) ).
fof(f105,plain,
( ~ spl26_13
| spl26_5
| spl26_4
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f38,f49,f65,f62,f65,f102]) ).
fof(f106,plain,
( spl26_12
| spl26_13
| spl26_4
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f39,f49,f65,f62,f102,f97]) ).
fof(f118,definition,
( spl26_16
<=> ! [X4] :
( big_p(sK16(X4))
| big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).
fof(f119,plain,
( ! [X4] :
( big_p(sK16(X4))
| big_p(X4) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl26_17
<=> big_q(sK15) ),
introduced(definition,[new_symbols(definition,[spl26_17])],[avatar_definition]) ).
fof(f123,plain,
( big_q(sK15)
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl26_16
| spl26_17
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f42,f49,f65,f121,f118]) ).
fof(f126,definition,
( spl26_18
<=> ! [X4] :
( ~ big_p(sK16(X4))
| ~ big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_18])],[avatar_definition]) ).
fof(f127,plain,
( ! [X4] :
( ~ big_p(sK16(X4))
| ~ big_p(X4) )
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,definition,
( spl26_19
<=> big_p(sK14) ),
introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).
fof(f132,plain,
( ~ big_p(sK14)
| spl26_19 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f134,plain,
( spl26_18
| spl26_4
| ~ spl26_19
| spl26_1 ),
inference(avatar_split_clause,[],[f45,f49,f130,f62,f126]) ).
fof(f136,definition,
( spl26_20
<=> ! [X22] :
( big_q(sK13(X22))
| big_q(X22) ) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f137,plain,
( ! [X22] :
( big_q(sK13(X22))
| big_q(X22) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,definition,
( spl26_21
<=> ! [X20] : big_q(X20) ),
introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).
fof(f140,plain,
( ! [X20] : big_q(X20)
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( ~ spl26_2
| spl26_20
| spl26_12
| spl26_21 ),
inference(avatar_split_clause,[],[f14,f139,f97,f136,f53]) ).
fof(f143,definition,
( spl26_22
<=> ! [X22] :
( ~ big_q(sK13(X22))
| ~ big_q(X22) ) ),
introduced(definition,[new_symbols(definition,[spl26_22])],[avatar_definition]) ).
fof(f144,plain,
( ! [X22] :
( ~ big_q(sK13(X22))
| ~ big_q(X22) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f147,definition,
( spl26_23
<=> big_q(sK12) ),
introduced(definition,[new_symbols(definition,[spl26_23])],[avatar_definition]) ).
fof(f149,plain,
( ~ big_q(sK12)
| spl26_23 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,definition,
( spl26_24
<=> big_p(sK11) ),
introduced(definition,[new_symbols(definition,[spl26_24])],[avatar_definition]) ).
fof(f153,plain,
( big_p(sK11)
| ~ spl26_24 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f155,plain,
( ~ spl26_2
| spl26_22
| ~ spl26_23
| spl26_24 ),
inference(avatar_split_clause,[],[f17,f151,f147,f143,f53]) ).
fof(f157,definition,
( spl26_25
<=> big_p(sK10) ),
introduced(definition,[new_symbols(definition,[spl26_25])],[avatar_definition]) ).
fof(f159,plain,
( big_p(sK10)
| ~ spl26_25 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f161,definition,
( spl26_26
<=> big_q(sK8) ),
introduced(definition,[new_symbols(definition,[spl26_26])],[avatar_definition]) ).
fof(f164,plain,
( ~ spl26_2
| spl26_25
| spl26_21
| ~ spl26_26
| spl26_21 ),
inference(avatar_split_clause,[],[f18,f139,f161,f139,f157,f53]) ).
fof(f170,plain,
( ~ spl26_2
| spl26_25
| spl26_21
| spl26_4
| spl26_26 ),
inference(avatar_split_clause,[],[f20,f161,f62,f139,f157,f53]) ).
fof(f173,definition,
( spl26_28
<=> big_q(sK7) ),
introduced(definition,[new_symbols(definition,[spl26_28])],[avatar_definition]) ).
fof(f176,plain,
( ~ spl26_28
| spl26_21
| spl26_12
| spl26_21
| spl26_2 ),
inference(avatar_split_clause,[],[f22,f53,f139,f97,f139,f173]) ).
fof(f177,plain,
( spl26_4
| spl26_28
| spl26_12
| spl26_21
| spl26_2 ),
inference(avatar_split_clause,[],[f23,f53,f139,f97,f173,f62]) ).
fof(f189,definition,
( spl26_31
<=> ! [X4] :
( big_q(sK4(X4))
| big_q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_31])],[avatar_definition]) ).
fof(f190,plain,
( ! [X4] :
( big_q(sK4(X4))
| big_q(X4) )
| ~ spl26_31 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,definition,
( spl26_32
<=> big_p(sK3) ),
introduced(definition,[new_symbols(definition,[spl26_32])],[avatar_definition]) ).
fof(f194,plain,
( big_p(sK3)
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl26_31
| spl26_32
| spl26_21
| spl26_2 ),
inference(avatar_split_clause,[],[f26,f53,f139,f192,f189]) ).
fof(f197,definition,
( spl26_33
<=> ! [X4] :
( ~ big_q(sK4(X4))
| ~ big_q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_33])],[avatar_definition]) ).
fof(f198,plain,
( ! [X4] :
( ~ big_q(sK4(X4))
| ~ big_q(X4) )
| ~ spl26_33 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl26_34
<=> big_q(sK2) ),
introduced(definition,[new_symbols(definition,[spl26_34])],[avatar_definition]) ).
fof(f203,plain,
( ~ big_q(sK2)
| spl26_34 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,plain,
( spl26_33
| spl26_12
| ~ spl26_34
| spl26_2 ),
inference(avatar_split_clause,[],[f29,f53,f201,f97,f197]) ).
fof(f206,plain,
( $false
| ~ spl26_5
| ~ spl26_12 ),
inference(forward_subsumption_resolution,[],[f98,f66]) ).
fof(f207,plain,
( ~ spl26_5
| ~ spl26_12 ),
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f208,plain,
( $false
| ~ spl26_4
| ~ spl26_17 ),
inference(forward_subsumption_resolution,[],[f123,f63]) ).
fof(f209,plain,
( ~ spl26_4
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f210,plain,
( ! [X4] : big_p(X4)
| ~ spl26_12
| ~ spl26_16 ),
inference(forward_subsumption_resolution,[],[f119,f98]) ).
fof(f211,plain,
( $false
| ~ spl26_12
| ~ spl26_16 ),
inference(forward_subsumption_resolution,[],[f210,f98]) ).
fof(f212,plain,
( ~ spl26_12
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f213,plain,
( $false
| ~ spl26_4
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f140,f63]) ).
fof(f214,plain,
( ~ spl26_4
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f215,plain,
( ! [X4] : big_q(X4)
| ~ spl26_4
| ~ spl26_31 ),
inference(forward_subsumption_resolution,[],[f190,f63]) ).
fof(f216,plain,
( $false
| ~ spl26_4
| ~ spl26_31 ),
inference(forward_subsumption_resolution,[],[f215,f63]) ).
fof(f217,plain,
( ~ spl26_4
| ~ spl26_31 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f218,plain,
( $false
| ~ spl26_5
| spl26_7 ),
inference(forward_subsumption_resolution,[],[f75,f66]) ).
fof(f219,plain,
( ~ spl26_5
| spl26_7 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f220,plain,
( ! [X22] : ~ big_p(X22)
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_subsumption_resolution,[],[f70,f66]) ).
fof(f221,plain,
( $false
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_subsumption_resolution,[],[f220,f66]) ).
fof(f222,plain,
( ~ spl26_5
| ~ spl26_6 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f223,plain,
( $false
| ~ spl26_4
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f79,f63]) ).
fof(f224,plain,
( ~ spl26_4
| ~ spl26_8 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f225,plain,
( $false
| ~ spl26_4
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f85,f63]) ).
fof(f226,plain,
( ~ spl26_4
| ~ spl26_9 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f231,plain,
( $false
| ~ spl26_21
| spl26_23 ),
inference(forward_subsumption_resolution,[],[f149,f140]) ).
fof(f232,plain,
( ~ spl26_21
| spl26_23 ),
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f237,plain,
( $false
| ~ spl26_21
| spl26_34 ),
inference(forward_subsumption_resolution,[],[f203,f140]) ).
fof(f238,plain,
( ~ spl26_21
| spl26_34 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f240,plain,
( ! [X4] : ~ big_q(X4)
| ~ spl26_21
| ~ spl26_33 ),
inference(forward_subsumption_resolution,[],[f198,f140]) ).
fof(f241,plain,
( $false
| ~ spl26_21
| ~ spl26_33 ),
inference(forward_subsumption_resolution,[],[f240,f140]) ).
fof(f242,plain,
( ~ spl26_21
| ~ spl26_33 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f250,plain,
( ! [X22] : big_q(X22)
| ~ spl26_4
| ~ spl26_20 ),
inference(forward_subsumption_resolution,[],[f137,f63]) ).
fof(f251,plain,
( $false
| ~ spl26_4
| ~ spl26_20 ),
inference(forward_subsumption_resolution,[],[f250,f63]) ).
fof(f252,plain,
( ~ spl26_4
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f253,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl26_5
| ~ spl26_18 ),
inference(resolution,[],[f66,f127]) ).
fof(f260,plain,
( $false
| ~ spl26_5
| ~ spl26_18 ),
inference(forward_subsumption_resolution,[],[f253,f66]) ).
fof(f261,plain,
( ~ spl26_5
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f262,plain,
( $false
| ~ spl26_5
| spl26_19 ),
inference(forward_subsumption_resolution,[],[f132,f66]) ).
fof(f263,plain,
( ~ spl26_5
| spl26_19 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f264,plain,
( $false
| ~ spl26_12
| ~ spl26_32 ),
inference(resolution,[],[f98,f194]) ).
fof(f265,plain,
( $false
| ~ spl26_12
| ~ spl26_25 ),
inference(resolution,[],[f98,f159]) ).
fof(f267,plain,
( ! [X0] : big_p(X0)
| ~ spl26_3
| ~ spl26_12 ),
inference(resolution,[],[f98,f60]) ).
fof(f269,plain,
( ~ spl26_12
| ~ spl26_25 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f270,plain,
( ~ spl26_12
| ~ spl26_32 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f271,plain,
( $false
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_subsumption_resolution,[],[f267,f98]) ).
fof(f272,plain,
( ~ spl26_3
| ~ spl26_12 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f273,plain,
( $false
| ~ spl26_12
| ~ spl26_24 ),
inference(forward_subsumption_resolution,[],[f153,f98]) ).
fof(f274,plain,
( ~ spl26_12
| ~ spl26_24 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f281,plain,
( ! [X22] : ~ big_q(X22)
| ~ spl26_21
| ~ spl26_22 ),
inference(forward_subsumption_resolution,[],[f144,f140]) ).
fof(f282,plain,
( $false
| ~ spl26_21
| ~ spl26_22 ),
inference(forward_subsumption_resolution,[],[f281,f140]) ).
fof(f283,plain,
( ~ spl26_21
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f282]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
( ~ spl26_1
| spl26_3
| spl26_4
| spl26_5 ),
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
( ~ spl26_1
| spl26_6
| ~ spl26_7
| spl26_8 ),
inference(sat_conversion,[],[f81]) ).
cnf(s7,plain,
( spl26_5
| ~ spl26_1
| spl26_5
| spl26_9
| ~ spl26_10 ),
inference(sat_conversion,[],[f90]) ).
cnf(s8,plain,
( ~ spl26_1
| spl26_5
| spl26_9
| ~ spl26_10 ),
inference(rat,[],[s7]) ).
cnf(s10,plain,
( ~ spl26_1
| spl26_5
| spl26_9
| spl26_10
| spl26_12 ),
inference(sat_conversion,[],[f99]) ).
cnf(s12,plain,
( spl26_5
| spl26_4
| spl26_1
| spl26_5
| ~ spl26_13 ),
inference(sat_conversion,[],[f105]) ).
cnf(s13,plain,
( spl26_1
| spl26_4
| spl26_5
| ~ spl26_13 ),
inference(rat,[],[s12]) ).
cnf(s14,plain,
( spl26_1
| spl26_4
| spl26_5
| spl26_12
| spl26_13 ),
inference(sat_conversion,[],[f106]) ).
cnf(s17,plain,
( spl26_1
| spl26_5
| spl26_16
| spl26_17 ),
inference(sat_conversion,[],[f124]) ).
cnf(s20,plain,
( spl26_1
| spl26_4
| spl26_18
| ~ spl26_19 ),
inference(sat_conversion,[],[f134]) ).
cnf(s21,plain,
( ~ spl26_2
| spl26_12
| spl26_20
| spl26_21 ),
inference(sat_conversion,[],[f141]) ).
cnf(s24,plain,
( ~ spl26_2
| spl26_22
| ~ spl26_23
| spl26_24 ),
inference(sat_conversion,[],[f155]) ).
cnf(s25,plain,
( spl26_21
| ~ spl26_2
| spl26_21
| spl26_25
| ~ spl26_26 ),
inference(sat_conversion,[],[f164]) ).
cnf(s26,plain,
( ~ spl26_2
| spl26_21
| spl26_25
| ~ spl26_26 ),
inference(rat,[],[s25]) ).
cnf(s28,plain,
( ~ spl26_2
| spl26_4
| spl26_21
| spl26_25
| spl26_26 ),
inference(sat_conversion,[],[f170]) ).
cnf(s30,plain,
( spl26_21
| spl26_12
| spl26_2
| spl26_21
| ~ spl26_28 ),
inference(sat_conversion,[],[f176]) ).
cnf(s31,plain,
( spl26_2
| spl26_12
| spl26_21
| ~ spl26_28 ),
inference(rat,[],[s30]) ).
cnf(s32,plain,
( spl26_2
| spl26_4
| spl26_12
| spl26_21
| spl26_28 ),
inference(sat_conversion,[],[f177]) ).
cnf(s35,plain,
( spl26_2
| spl26_21
| spl26_31
| spl26_32 ),
inference(sat_conversion,[],[f195]) ).
cnf(s38,plain,
( spl26_2
| spl26_12
| spl26_33
| ~ spl26_34 ),
inference(sat_conversion,[],[f205]) ).
cnf(s39,plain,
( ~ spl26_5
| ~ spl26_12 ),
inference(sat_conversion,[],[f207]) ).
cnf(s40,plain,
( ~ spl26_4
| ~ spl26_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s41,plain,
( ~ spl26_12
| ~ spl26_16 ),
inference(sat_conversion,[],[f212]) ).
cnf(s42,plain,
( ~ spl26_4
| ~ spl26_21 ),
inference(sat_conversion,[],[f214]) ).
cnf(s43,plain,
( ~ spl26_4
| ~ spl26_31 ),
inference(sat_conversion,[],[f217]) ).
cnf(s44,plain,
( ~ spl26_5
| spl26_7 ),
inference(sat_conversion,[],[f219]) ).
cnf(s45,plain,
( ~ spl26_5
| ~ spl26_6 ),
inference(sat_conversion,[],[f222]) ).
cnf(s46,plain,
( ~ spl26_4
| ~ spl26_8 ),
inference(sat_conversion,[],[f224]) ).
cnf(s47,plain,
( ~ spl26_4
| ~ spl26_9 ),
inference(sat_conversion,[],[f226]) ).
cnf(s50,plain,
( ~ spl26_21
| spl26_23 ),
inference(sat_conversion,[],[f232]) ).
cnf(s53,plain,
( ~ spl26_21
| spl26_34 ),
inference(sat_conversion,[],[f238]) ).
cnf(s54,plain,
( ~ spl26_21
| ~ spl26_33 ),
inference(sat_conversion,[],[f242]) ).
cnf(s58,plain,
( ~ spl26_4
| ~ spl26_20 ),
inference(sat_conversion,[],[f252]) ).
cnf(s62,plain,
( ~ spl26_5
| ~ spl26_18 ),
inference(sat_conversion,[],[f261]) ).
cnf(s63,plain,
( ~ spl26_5
| spl26_19 ),
inference(sat_conversion,[],[f263]) ).
cnf(s65,plain,
( ~ spl26_12
| ~ spl26_25 ),
inference(sat_conversion,[],[f269]) ).
cnf(s66,plain,
( ~ spl26_12
| ~ spl26_32 ),
inference(sat_conversion,[],[f270]) ).
cnf(s67,plain,
( ~ spl26_3
| ~ spl26_12 ),
inference(sat_conversion,[],[f272]) ).
cnf(s68,plain,
( ~ spl26_12
| ~ spl26_24 ),
inference(sat_conversion,[],[f274]) ).
cnf(s72,plain,
( ~ spl26_21
| ~ spl26_22 ),
inference(sat_conversion,[],[f283]) ).
cnf(s73,plain,
( spl26_21
| spl26_25
| spl26_4
| ~ spl26_2 ),
inference(rat,[],[s28,s26]) ).
cnf(s74,plain,
( ~ spl26_12
| spl26_4
| ~ spl26_2 ),
inference(rat,[],[s24,s50,s72,s73,s65,s68]) ).
cnf(s75,plain,
( spl26_5
| spl26_4
| spl26_1 ),
inference(rat,[],[s14,s13,s74,s1]) ).
cnf(s76,plain,
( spl26_4
| spl26_1 ),
inference(rat,[],[s20,s62,s63,s75]) ).
cnf(s77,plain,
spl26_1,
inference(rat,[],[s17,s39,s41,s21,s40,s42,s58,s76,s1]) ).
cnf(s78,plain,
~ spl26_2,
inference(rat,[],[s2,s77]) ).
cnf(s79,plain,
( spl26_21
| spl26_12
| spl26_4 ),
inference(rat,[],[s32,s31,s78]) ).
cnf(s80,plain,
( spl26_12
| spl26_4 ),
inference(rat,[],[s38,s53,s54,s79,s78]) ).
cnf(s81,plain,
spl26_4,
inference(rat,[],[s3,s39,s67,s80,s77]) ).
cnf(s86,plain,
~ spl26_9,
inference(rat,[],[s47,s81]) ).
cnf(s87,plain,
~ spl26_8,
inference(rat,[],[s46,s81]) ).
cnf(s88,plain,
~ spl26_31,
inference(rat,[],[s43,s81]) ).
cnf(s89,plain,
~ spl26_21,
inference(rat,[],[s42,s81]) ).
cnf(s91,plain,
spl26_32,
inference(rat,[],[s35,s89,s78,s88]) ).
cnf(s92,plain,
~ spl26_12,
inference(rat,[],[s66,s91]) ).
cnf(s94,plain,
spl26_5,
inference(rat,[],[s8,s10,s77,s86,s92]) ).
cnf(s100,plain,
~ spl26_6,
inference(rat,[],[s45,s94]) ).
cnf(s101,plain,
spl26_7,
inference(rat,[],[s44,s94]) ).
cnf(s102,plain,
$false,
inference(rat,[],[s6,s87,s77,s101,s100]) ).
fof(f284,plain,
$false,
inference(avatar_sat_refutation,[],[s102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:21:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.98/1.11 % (4049514)Detected formulas, will run a generic FOF schedule.
% 2.98/1.11 % (4049521)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=3007363839:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.98/1.11 % (4049524)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4161013601:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.98/1.11 % (4049523)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2436800013:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.98/1.11 % (4049525)dis-21_1_sil=8000:lcm=predicate:random_seed=4235739126: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)
% 2.98/1.11 % (4049519)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=3058357451:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.98/1.11 % (4049520)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=1224987566:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.98/1.11 % (4049522)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1492029064:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.98/1.11 % (4049522)Refutation not found, incomplete strategy
% 2.98/1.11 % (4049522)------------------------------
% 2.98/1.11 % (4049522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.11 % (4049522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.11 % (4049522)CaDiCaL version: 2.1.3
% 2.98/1.11 % (4049522)Termination reason: Refutation not found, incomplete strategy
% 2.98/1.11 % (4049522)Time elapsed: 0.003 s
% 2.98/1.11 % (4049522)Peak memory usage: 88 MB
% 2.98/1.11 % (4049522)Instructions burned: 3 (million)
% 2.98/1.11 % (4049525)Also succeeded, but the first one will report.
% 2.98/1.11 % (4049524)First to succeed.
% 2.98/1.11 % (4049524)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4049514"
% 2.98/1.11 % (4049523)Instruction limit reached!
% 2.98/1.11 % (4049523)------------------------------
% 2.98/1.11 % (4049523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.11 % (4049523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.11 % (4049523)CaDiCaL version: 2.1.3
% 2.98/1.11 % (4049523)Termination reason: Instruction limit
% 2.98/1.11 % (4049523)Termination phase: Saturation
% 2.98/1.11 % (4049523)Time elapsed: 0.054 s
% 2.98/1.11 % (4049523)Peak memory usage: 87 MB
% 2.98/1.11 % (4049523)Instructions burned: 121 (million)
% 2.98/1.11 % (4049533)lrs+10_1_sil=8000:sp=occurrence:random_seed=2158960218:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.98/1.11 % (4049533)Also succeeded, but the first one will report.
% 2.98/1.11 % (4049522)------------------------------
% 2.98/1.11 % (4049522)------------------------------
% 2.98/1.11 % (4049524)Refutation found. Thanks to Tanya!
% 2.98/1.11 % SZS status Theorem for theBenchmark
% 2.98/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (4049524)------------------------------
% 0.19/1.20 % (4049524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (4049524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (4049524)CaDiCaL version: 2.1.3
% 0.19/1.20 % (4049524)Termination reason: Refutation
% 0.19/1.20 % (4049524)Time elapsed: 0.006 s
% 0.19/1.20 % (4049524)Peak memory usage: 89 MB
% 0.19/1.20 % (4049524)Instructions burned: 7 (million)
% 0.19/1.20 % (4049524)------------------------------
% 0.19/1.20 % (4049524)------------------------------
% 0.19/1.20 % (4049514)Success in time 0.432 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------