%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN036+1 : 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 : n003.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 0.66s 0.98s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 213 ( 12 unt; 28 def)
% Number of atoms : 881 ( 0 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 1042 ( 374 ~; 545 |; 67 &)
% ( 54 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 29 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-1 aty)
% Number of variables : 240 ( 0 sgn 176 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(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_q(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<~> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,definition,
( sP0
<=> ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(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_p(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_p(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_p(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_p(X7) )
& ( ! [X7] : big_p(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_p(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_p(X7)
| ? [X6] : big_p(X6) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X7] : big_p(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_p(X0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_p(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_p(X7) )
& ( ! [X8] : big_p(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_p(X14)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_p(X16)
| ? [X17] : big_p(X17) ) ) )
& ( ( ( ? [X18] : big_p(X18)
| ? [X19] : ~ big_p(X19) )
& ( ! [X20] : big_p(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_p(sK2)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_p(X2)
| big_p(sK3) ) )
| ! [X4] :
( ( ~ big_q(sK4(X4))
| ~ big_q(X4) )
& ( big_q(sK4(X4))
| big_q(X4) ) ) )
& ( ( ( big_p(sK5)
| ~ big_p(sK6) )
& ( ! [X8] : big_p(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_p(sK9)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_p(X16)
| big_p(sK10) ) ) )
& ( ( ( big_p(sK11)
| ~ big_p(sK12) )
& ( ! [X20] : big_p(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_q(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_q(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_q(X3) )
& ( ! [X3] : big_q(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_q(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_q(X3)
| ? [X2] : big_q(X2) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_q(X3) )
& ( ! [X3] : big_q(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_q(X0)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_q(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_q(X7) )
& ( ! [X8] : big_q(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_q(X14)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_q(X16)
| ? [X17] : big_q(X17) ) ) )
& ( ( ( ? [X18] : big_q(X18)
| ? [X19] : ~ big_q(X19) )
& ( ! [X20] : big_q(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_q(sK14)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_q(X2)
| big_q(sK15) ) )
| ! [X4] :
( ( ~ big_p(sK16(X4))
| ~ big_p(X4) )
& ( big_p(sK16(X4))
| big_p(X4) ) ) )
& ( ( ( big_q(sK17)
| ~ big_q(sK18) )
& ( ! [X8] : big_q(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_q(sK21)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_q(X16)
| big_q(sK22) ) ) )
& ( ( ( big_q(sK23)
| ~ big_q(sK24) )
& ( ! [X20] : big_q(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_p(X20)
| ~ big_p(X21)
| big_q(sK13(X22))
| big_q(X22)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X21,X22,X20] :
( big_p(X20)
| ~ big_p(X21)
| ~ big_q(sK13(X22))
| ~ big_q(X22)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X16,X13] :
( big_q(X13)
| ~ big_q(sK8)
| big_p(X16)
| big_p(sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X15,X13] :
( big_q(X13)
| ~ big_q(sK8)
| ~ big_p(sK9)
| ~ big_p(X15)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X16,X13] :
( big_q(sK8)
| ~ big_q(X13)
| big_p(X16)
| big_p(sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
! [X15,X13] :
( big_q(sK8)
| ~ big_q(X13)
| ~ big_p(sK9)
| ~ big_p(X15)
| ~ sP1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X11,X8,X9] :
( sP1
| big_p(X8)
| ~ big_p(X9)
| big_q(X11)
| ~ big_q(sK7) ),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X11,X8,X9] :
( sP1
| big_p(X8)
| ~ big_p(X9)
| big_q(sK7)
| ~ big_q(X11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
! [X2,X4] :
( sP1
| big_p(X2)
| big_p(sK3)
| big_q(sK4(X4))
| big_q(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X2,X4] :
( sP1
| big_p(X2)
| big_p(sK3)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X1,X4] :
( sP1
| ~ big_p(sK2)
| ~ big_p(X1)
| big_q(sK4(X4))
| big_q(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X1,X4] :
( sP1
| ~ big_p(sK2)
| ~ big_p(X1)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X21,X22,X20] :
( big_q(X20)
| ~ big_q(X21)
| big_p(sK25(X22))
| big_p(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X21,X22,X20] :
( big_q(X20)
| ~ big_q(X21)
| ~ big_p(sK25(X22))
| ~ big_p(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X16,X13] :
( big_p(X13)
| ~ big_p(sK20)
| big_q(X16)
| big_q(sK22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f35,plain,
! [X15,X13] :
( big_p(X13)
| ~ big_p(sK20)
| ~ big_q(sK21)
| ~ big_q(X15)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f36,plain,
! [X16,X13] :
( big_p(sK20)
| ~ big_p(X13)
| big_q(X16)
| big_q(sK22)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f37,plain,
! [X15,X13] :
( big_p(sK20)
| ~ big_p(X13)
| ~ big_q(sK21)
| ~ big_q(X15)
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X11,X8,X9] :
( sP0
| big_q(X8)
| ~ big_q(X9)
| big_p(X11)
| ~ big_p(sK19) ),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X11,X8,X9] :
( sP0
| big_q(X8)
| ~ big_q(X9)
| big_p(sK19)
| ~ big_p(X11) ),
inference(cnf_transformation,[],[f12]) ).
fof(f42,plain,
! [X2,X4] :
( sP0
| big_q(X2)
| big_q(sK15)
| big_p(sK16(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f12]) ).
fof(f43,plain,
! [X2,X4] :
( sP0
| big_q(X2)
| big_q(sK15)
| ~ big_p(sK16(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f12]) ).
fof(f44,plain,
! [X1,X4] :
( sP0
| ~ big_q(sK14)
| ~ big_q(X1)
| big_p(sK16(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
! [X1,X4] :
( sP0
| ~ big_q(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(f52,definition,
( spl26_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f54,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f46,f52,f49]) ).
fof(f57,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f47,f52,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_q(X20) ),
introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).
fof(f66,plain,
( ! [X20] : big_q(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(f71,plain,
( ~ spl26_1
| spl26_6
| spl26_4
| spl26_5 ),
inference(avatar_split_clause,[],[f31,f65,f62,f69,f49]) ).
fof(f81,definition,
( spl26_9
<=> big_q(sK22) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f82,plain,
( big_q(sK22)
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl26_10
<=> big_p(sK20) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f87,definition,
( spl26_11
<=> ! [X13] : big_p(X13) ),
introduced(definition,[new_symbols(definition,[spl26_11])],[avatar_definition]) ).
fof(f88,plain,
( ! [X13] : big_p(X13)
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( ~ spl26_1
| spl26_9
| spl26_5
| ~ spl26_10
| spl26_11 ),
inference(avatar_split_clause,[],[f34,f87,f84,f65,f81,f49]) ).
fof(f91,definition,
( spl26_12
<=> big_q(sK21) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
fof(f92,plain,
( ~ big_q(sK21)
| spl26_12 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ spl26_1
| spl26_4
| ~ spl26_12
| ~ spl26_10
| spl26_11 ),
inference(avatar_split_clause,[],[f35,f87,f84,f91,f62,f49]) ).
fof(f95,definition,
( spl26_13
<=> ! [X13] : ~ big_p(X13) ),
introduced(definition,[new_symbols(definition,[spl26_13])],[avatar_definition]) ).
fof(f96,plain,
( ! [X13] : ~ big_p(X13)
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( ~ spl26_1
| spl26_9
| spl26_5
| spl26_13
| spl26_10 ),
inference(avatar_split_clause,[],[f36,f84,f95,f65,f81,f49]) ).
fof(f99,plain,
( ~ spl26_1
| spl26_4
| ~ spl26_12
| spl26_13
| spl26_10 ),
inference(avatar_split_clause,[],[f37,f84,f95,f91,f62,f49]) ).
fof(f101,definition,
( spl26_14
<=> big_p(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
fof(f103,plain,
( ~ spl26_14
| spl26_11
| spl26_4
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f38,f49,f65,f62,f87,f101]) ).
fof(f105,plain,
( spl26_13
| spl26_14
| spl26_4
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f39,f49,f65,f62,f101,f95]) ).
fof(f115,definition,
( spl26_17
<=> ! [X4] :
( big_p(sK16(X4))
| big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_17])],[avatar_definition]) ).
fof(f116,plain,
( ! [X4] :
( big_p(sK16(X4))
| big_p(X4) )
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl26_18
<=> big_q(sK15) ),
introduced(definition,[new_symbols(definition,[spl26_18])],[avatar_definition]) ).
fof(f119,plain,
( big_q(sK15)
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( spl26_17
| spl26_18
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f42,f49,f65,f118,f115]) ).
fof(f122,definition,
( spl26_19
<=> ! [X4] :
( ~ big_p(sK16(X4))
| ~ big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).
fof(f123,plain,
( ! [X4] :
( ~ big_p(sK16(X4))
| ~ big_p(X4) )
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( spl26_19
| spl26_18
| spl26_5
| spl26_1 ),
inference(avatar_split_clause,[],[f43,f49,f65,f118,f122]) ).
fof(f126,definition,
( spl26_20
<=> big_q(sK14) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f127,plain,
( ~ big_q(sK14)
| spl26_20 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( spl26_17
| spl26_4
| ~ spl26_20
| spl26_1 ),
inference(avatar_split_clause,[],[f44,f49,f126,f62,f115]) ).
fof(f129,plain,
( spl26_19
| spl26_4
| ~ spl26_20
| spl26_1 ),
inference(avatar_split_clause,[],[f45,f49,f126,f62,f122]) ).
fof(f131,definition,
( spl26_21
<=> ! [X22] :
( big_q(sK13(X22))
| big_q(X22) ) ),
introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).
fof(f132,plain,
( ! [X22] :
( big_q(sK13(X22))
| big_q(X22) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ spl26_2
| spl26_21
| spl26_13
| spl26_11 ),
inference(avatar_split_clause,[],[f14,f87,f95,f131,f52]) ).
fof(f135,definition,
( spl26_22
<=> ! [X22] :
( ~ big_q(sK13(X22))
| ~ big_q(X22) ) ),
introduced(definition,[new_symbols(definition,[spl26_22])],[avatar_definition]) ).
fof(f136,plain,
( ! [X22] :
( ~ big_q(sK13(X22))
| ~ big_q(X22) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( ~ spl26_2
| spl26_22
| spl26_13
| spl26_11 ),
inference(avatar_split_clause,[],[f15,f87,f95,f135,f52]) ).
fof(f147,definition,
( spl26_25
<=> big_p(sK10) ),
introduced(definition,[new_symbols(definition,[spl26_25])],[avatar_definition]) ).
fof(f148,plain,
( big_p(sK10)
| ~ spl26_25 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,definition,
( spl26_26
<=> big_q(sK8) ),
introduced(definition,[new_symbols(definition,[spl26_26])],[avatar_definition]) ).
fof(f152,plain,
( ~ spl26_2
| spl26_25
| spl26_11
| ~ spl26_26
| spl26_5 ),
inference(avatar_split_clause,[],[f18,f65,f150,f87,f147,f52]) ).
fof(f154,definition,
( spl26_27
<=> big_p(sK9) ),
introduced(definition,[new_symbols(definition,[spl26_27])],[avatar_definition]) ).
fof(f155,plain,
( ~ big_p(sK9)
| spl26_27 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( ~ spl26_2
| spl26_13
| ~ spl26_27
| ~ spl26_26
| spl26_5 ),
inference(avatar_split_clause,[],[f19,f65,f150,f154,f95,f52]) ).
fof(f158,plain,
( ~ spl26_2
| spl26_25
| spl26_11
| spl26_4
| spl26_26 ),
inference(avatar_split_clause,[],[f20,f150,f62,f87,f147,f52]) ).
fof(f159,plain,
( ~ spl26_2
| spl26_13
| ~ spl26_27
| spl26_4
| spl26_26 ),
inference(avatar_split_clause,[],[f21,f150,f62,f154,f95,f52]) ).
fof(f161,definition,
( spl26_28
<=> big_q(sK7) ),
introduced(definition,[new_symbols(definition,[spl26_28])],[avatar_definition]) ).
fof(f163,plain,
( ~ spl26_28
| spl26_5
| spl26_13
| spl26_11
| spl26_2 ),
inference(avatar_split_clause,[],[f22,f52,f87,f95,f65,f161]) ).
fof(f165,plain,
( spl26_4
| spl26_28
| spl26_13
| spl26_11
| spl26_2 ),
inference(avatar_split_clause,[],[f23,f52,f87,f95,f161,f62]) ).
fof(f175,definition,
( spl26_31
<=> ! [X4] :
( big_q(sK4(X4))
| big_q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_31])],[avatar_definition]) ).
fof(f176,plain,
( ! [X4] :
( big_q(sK4(X4))
| big_q(X4) )
| ~ spl26_31 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,definition,
( spl26_32
<=> big_p(sK3) ),
introduced(definition,[new_symbols(definition,[spl26_32])],[avatar_definition]) ).
fof(f179,plain,
( big_p(sK3)
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
( spl26_31
| spl26_32
| spl26_11
| spl26_2 ),
inference(avatar_split_clause,[],[f26,f52,f87,f178,f175]) ).
fof(f182,definition,
( spl26_33
<=> ! [X4] :
( ~ big_q(sK4(X4))
| ~ big_q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl26_33])],[avatar_definition]) ).
fof(f183,plain,
( ! [X4] :
( ~ big_q(sK4(X4))
| ~ big_q(X4) )
| ~ spl26_33 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( spl26_33
| spl26_32
| spl26_11
| spl26_2 ),
inference(avatar_split_clause,[],[f27,f52,f87,f178,f182]) ).
fof(f186,definition,
( spl26_34
<=> big_p(sK2) ),
introduced(definition,[new_symbols(definition,[spl26_34])],[avatar_definition]) ).
fof(f187,plain,
( ~ big_p(sK2)
| spl26_34 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( spl26_31
| spl26_13
| ~ spl26_34
| spl26_2 ),
inference(avatar_split_clause,[],[f28,f52,f186,f95,f175]) ).
fof(f189,plain,
( spl26_33
| spl26_13
| ~ spl26_34
| spl26_2 ),
inference(avatar_split_clause,[],[f29,f52,f186,f95,f182]) ).
fof(f192,plain,
( $false
| ~ spl26_11
| ~ spl26_13 ),
inference(resolution,[],[f96,f88]) ).
fof(f193,plain,
( ~ spl26_11
| ~ spl26_13 ),
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f194,plain,
( $false
| ~ spl26_5
| spl26_20 ),
inference(resolution,[],[f127,f66]) ).
fof(f195,plain,
( ~ spl26_5
| spl26_20 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f198,plain,
( $false
| ~ spl26_11
| spl26_27 ),
inference(resolution,[],[f155,f88]) ).
fof(f199,plain,
( ~ spl26_11
| spl26_27 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f201,plain,
( ! [X0] : ~ big_q(X0)
| ~ spl26_5
| ~ spl26_22 ),
inference(resolution,[],[f136,f66]) ).
fof(f202,plain,
( spl26_4
| ~ spl26_5
| ~ spl26_22 ),
inference(avatar_split_clause,[],[f201,f135,f65,f62]) ).
fof(f203,plain,
( $false
| ~ spl26_4
| ~ spl26_18 ),
inference(resolution,[],[f63,f119]) ).
fof(f204,plain,
( $false
| ~ spl26_4
| ~ spl26_5 ),
inference(resolution,[],[f63,f66]) ).
fof(f205,plain,
( ~ spl26_4
| ~ spl26_5 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f206,plain,
( ~ spl26_4
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f210,plain,
( ! [X0] : big_q(X0)
| ~ spl26_4
| ~ spl26_21 ),
inference(resolution,[],[f132,f63]) ).
fof(f211,plain,
( spl26_5
| ~ spl26_4
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f210,f131,f62,f65]) ).
fof(f212,plain,
( $false
| ~ spl26_13
| ~ spl26_25 ),
inference(resolution,[],[f96,f148]) ).
fof(f213,plain,
( ! [X0] : big_p(X0)
| ~ spl26_13
| ~ spl26_17 ),
inference(resolution,[],[f96,f116]) ).
fof(f214,plain,
( ~ spl26_13
| ~ spl26_25 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f215,plain,
( spl26_11
| ~ spl26_13
| ~ spl26_17 ),
inference(avatar_split_clause,[],[f213,f115,f95,f87]) ).
fof(f216,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl26_11
| ~ spl26_19 ),
inference(resolution,[],[f88,f123]) ).
fof(f217,plain,
( spl26_13
| ~ spl26_11
| ~ spl26_19 ),
inference(avatar_split_clause,[],[f216,f122,f87,f95]) ).
fof(f220,plain,
( $false
| ~ spl26_5
| spl26_12 ),
inference(resolution,[],[f92,f66]) ).
fof(f221,plain,
( ~ spl26_5
| spl26_12 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f226,plain,
( $false
| ~ spl26_11
| spl26_34 ),
inference(resolution,[],[f187,f88]) ).
fof(f227,plain,
( ~ spl26_11
| spl26_34 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f228,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl26_6
| ~ spl26_11 ),
inference(resolution,[],[f70,f88]) ).
fof(f229,plain,
( spl26_13
| ~ spl26_6
| ~ spl26_11 ),
inference(avatar_split_clause,[],[f228,f87,f69,f95]) ).
fof(f230,plain,
( ! [X0] : ~ big_q(X0)
| ~ spl26_5
| ~ spl26_33 ),
inference(resolution,[],[f183,f66]) ).
fof(f231,plain,
( spl26_4
| ~ spl26_5
| ~ spl26_33 ),
inference(avatar_split_clause,[],[f230,f182,f65,f62]) ).
fof(f234,plain,
( $false
| ~ spl26_4
| ~ spl26_9 ),
inference(resolution,[],[f82,f63]) ).
fof(f235,plain,
( ~ spl26_4
| ~ spl26_9 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f238,plain,
( ! [X0] : big_q(X0)
| ~ spl26_4
| ~ spl26_31 ),
inference(resolution,[],[f176,f63]) ).
fof(f239,plain,
( spl26_5
| ~ spl26_4
| ~ spl26_31 ),
inference(avatar_split_clause,[],[f238,f175,f62,f65]) ).
fof(f244,plain,
( $false
| ~ spl26_13
| ~ spl26_32 ),
inference(resolution,[],[f179,f96]) ).
fof(f245,plain,
( ~ spl26_13
| ~ spl26_32 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f246,plain,
( ! [X0] : big_p(X0)
| ~ spl26_3
| ~ spl26_13 ),
inference(resolution,[],[f60,f96]) ).
fof(f247,plain,
( spl26_11
| ~ spl26_3
| ~ spl26_13 ),
inference(avatar_split_clause,[],[f246,f95,f59,f87]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f54]) ).
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(s4,plain,
( ~ spl26_1
| spl26_4
| spl26_5
| spl26_6 ),
inference(sat_conversion,[],[f71]) ).
cnf(s7,plain,
( ~ spl26_1
| spl26_5
| spl26_9
| ~ spl26_10
| spl26_11 ),
inference(sat_conversion,[],[f89]) ).
cnf(s8,plain,
( ~ spl26_1
| spl26_4
| ~ spl26_10
| spl26_11
| ~ spl26_12 ),
inference(sat_conversion,[],[f93]) ).
cnf(s9,plain,
( ~ spl26_1
| spl26_5
| spl26_9
| spl26_10
| spl26_13 ),
inference(sat_conversion,[],[f98]) ).
cnf(s10,plain,
( ~ spl26_1
| spl26_4
| spl26_10
| ~ spl26_12
| spl26_13 ),
inference(sat_conversion,[],[f99]) ).
cnf(s11,plain,
( spl26_1
| spl26_4
| spl26_5
| spl26_11
| ~ spl26_14 ),
inference(sat_conversion,[],[f103]) ).
cnf(s12,plain,
( spl26_1
| spl26_4
| spl26_5
| spl26_13
| spl26_14 ),
inference(sat_conversion,[],[f105]) ).
cnf(s15,plain,
( spl26_1
| spl26_5
| spl26_17
| spl26_18 ),
inference(sat_conversion,[],[f120]) ).
cnf(s16,plain,
( spl26_1
| spl26_5
| spl26_18
| spl26_19 ),
inference(sat_conversion,[],[f124]) ).
cnf(s17,plain,
( spl26_1
| spl26_4
| spl26_17
| ~ spl26_20 ),
inference(sat_conversion,[],[f128]) ).
cnf(s18,plain,
( spl26_1
| spl26_4
| spl26_19
| ~ spl26_20 ),
inference(sat_conversion,[],[f129]) ).
cnf(s19,plain,
( ~ spl26_2
| spl26_11
| spl26_13
| spl26_21 ),
inference(sat_conversion,[],[f133]) ).
cnf(s20,plain,
( ~ spl26_2
| spl26_11
| spl26_13
| spl26_22 ),
inference(sat_conversion,[],[f137]) ).
cnf(s23,plain,
( ~ spl26_2
| spl26_5
| spl26_11
| spl26_25
| ~ spl26_26 ),
inference(sat_conversion,[],[f152]) ).
cnf(s24,plain,
( ~ spl26_2
| spl26_5
| spl26_13
| ~ spl26_26
| ~ spl26_27 ),
inference(sat_conversion,[],[f156]) ).
cnf(s25,plain,
( ~ spl26_2
| spl26_4
| spl26_11
| spl26_25
| spl26_26 ),
inference(sat_conversion,[],[f158]) ).
cnf(s26,plain,
( ~ spl26_2
| spl26_4
| spl26_13
| spl26_26
| ~ spl26_27 ),
inference(sat_conversion,[],[f159]) ).
cnf(s27,plain,
( spl26_2
| spl26_5
| spl26_11
| spl26_13
| ~ spl26_28 ),
inference(sat_conversion,[],[f163]) ).
cnf(s28,plain,
( spl26_2
| spl26_4
| spl26_11
| spl26_13
| spl26_28 ),
inference(sat_conversion,[],[f165]) ).
cnf(s31,plain,
( spl26_2
| spl26_11
| spl26_31
| spl26_32 ),
inference(sat_conversion,[],[f180]) ).
cnf(s32,plain,
( spl26_2
| spl26_11
| spl26_32
| spl26_33 ),
inference(sat_conversion,[],[f184]) ).
cnf(s33,plain,
( spl26_2
| spl26_13
| spl26_31
| ~ spl26_34 ),
inference(sat_conversion,[],[f188]) ).
cnf(s34,plain,
( spl26_2
| spl26_13
| spl26_33
| ~ spl26_34 ),
inference(sat_conversion,[],[f189]) ).
cnf(s36,plain,
( ~ spl26_11
| ~ spl26_13 ),
inference(sat_conversion,[],[f193]) ).
cnf(s37,plain,
( ~ spl26_5
| spl26_20 ),
inference(sat_conversion,[],[f195]) ).
cnf(s39,plain,
( ~ spl26_11
| spl26_27 ),
inference(sat_conversion,[],[f199]) ).
cnf(s40,plain,
( spl26_4
| ~ spl26_5
| ~ spl26_22 ),
inference(sat_conversion,[],[f202]) ).
cnf(s41,plain,
( ~ spl26_4
| ~ spl26_5 ),
inference(sat_conversion,[],[f205]) ).
cnf(s42,plain,
( ~ spl26_4
| ~ spl26_18 ),
inference(sat_conversion,[],[f206]) ).
cnf(s44,plain,
( ~ spl26_4
| spl26_5
| ~ spl26_21 ),
inference(sat_conversion,[],[f211]) ).
cnf(s45,plain,
( ~ spl26_13
| ~ spl26_25 ),
inference(sat_conversion,[],[f214]) ).
cnf(s46,plain,
( spl26_11
| ~ spl26_13
| ~ spl26_17 ),
inference(sat_conversion,[],[f215]) ).
cnf(s47,plain,
( ~ spl26_11
| spl26_13
| ~ spl26_19 ),
inference(sat_conversion,[],[f217]) ).
cnf(s49,plain,
( ~ spl26_5
| spl26_12 ),
inference(sat_conversion,[],[f221]) ).
cnf(s52,plain,
( ~ spl26_11
| spl26_34 ),
inference(sat_conversion,[],[f227]) ).
cnf(s53,plain,
( ~ spl26_6
| ~ spl26_11
| spl26_13 ),
inference(sat_conversion,[],[f229]) ).
cnf(s54,plain,
( spl26_4
| ~ spl26_5
| ~ spl26_33 ),
inference(sat_conversion,[],[f231]) ).
cnf(s56,plain,
( ~ spl26_4
| ~ spl26_9 ),
inference(sat_conversion,[],[f235]) ).
cnf(s58,plain,
( ~ spl26_4
| spl26_5
| ~ spl26_31 ),
inference(sat_conversion,[],[f239]) ).
cnf(s61,plain,
( ~ spl26_13
| ~ spl26_32 ),
inference(sat_conversion,[],[f245]) ).
cnf(s62,plain,
( ~ spl26_3
| spl26_11
| ~ spl26_13 ),
inference(sat_conversion,[],[f247]) ).
cnf(s63,plain,
( spl26_11
| spl26_5
| spl26_4
| spl26_1 ),
inference(rat,[],[s23,s25,s45,s12,s11,s1]) ).
cnf(s64,plain,
( spl26_5
| spl26_4
| spl26_1 ),
inference(rat,[],[s24,s26,s36,s39,s63,s1]) ).
cnf(s65,plain,
( spl26_11
| ~ spl26_17
| spl26_22
| ~ spl26_2 ),
inference(rat,[],[s46,s20]) ).
cnf(s66,plain,
( spl26_4
| spl26_1 ),
inference(rat,[],[s47,s36,s65,s17,s18,s37,s40,s64,s1]) ).
cnf(s67,plain,
( spl26_11
| spl26_1 ),
inference(rat,[],[s19,s46,s1,s44,s15,s42,s41,s66]) ).
cnf(s68,plain,
( spl26_18
| spl26_5
| spl26_1 ),
inference(rat,[],[s47,s36,s67,s16]) ).
cnf(s69,plain,
spl26_1,
inference(rat,[],[s68,s41,s42,s66]) ).
cnf(s70,plain,
~ spl26_2,
inference(rat,[],[s2,s69]) ).
cnf(s71,plain,
( ~ spl26_5
| ~ spl26_33 ),
inference(rat,[],[s54,s41]) ).
cnf(s72,plain,
( ~ spl26_13
| spl26_11 ),
inference(rat,[],[s3,s58,s71,s31,s32,s62,s61,s69,s70]) ).
cnf(s73,plain,
( ~ spl26_5
| spl26_11 ),
inference(rat,[],[s8,s10,s41,s49,s72,s69]) ).
cnf(s74,plain,
( spl26_5
| spl26_13
| spl26_11 ),
inference(rat,[],[s7,s9,s56,s28,s27,s70,s69]) ).
cnf(s75,plain,
spl26_11,
inference(rat,[],[s74,s73,s72]) ).
cnf(s76,plain,
spl26_34,
inference(rat,[],[s52,s75]) ).
cnf(s80,plain,
~ spl26_13,
inference(rat,[],[s36,s75]) ).
cnf(s81,plain,
~ spl26_6,
inference(rat,[],[s53,s80,s75]) ).
cnf(s82,plain,
spl26_33,
inference(rat,[],[s34,s70,s80,s76]) ).
cnf(s83,plain,
spl26_31,
inference(rat,[],[s33,s80,s70,s76]) ).
cnf(s85,plain,
~ spl26_5,
inference(rat,[],[s71,s82]) ).
cnf(s86,plain,
~ spl26_4,
inference(rat,[],[s58,s85,s83]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s4,s69,s81,s85,s86]) ).
fof(f248,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n003.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:22:27 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 0.66/0.98 % (1694897)Detected formulas, will run a generic FOF schedule.
% 0.66/0.98 % (1694908)dis-21_1_sil=8000:lcm=predicate:random_seed=143727456: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)
% 0.66/0.98 % (1694908)First to succeed.
% 0.66/0.98 % (1694908)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1694897"
% 0.66/0.98 % (1694902)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=3794739889:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.66/0.98 % (1694903)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=4185435850:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.66/0.98 % (1694906)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3487887306:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.66/0.98 % (1694904)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=3559036630:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.66/0.98 % (1694905)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1621977891:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.66/0.98 % (1694907)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4143110139:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.66/0.98 % (1694905)Refutation not found, incomplete strategy
% 0.66/0.98 % (1694905)------------------------------
% 0.66/0.98 % (1694905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.98 % (1694905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.98 % (1694905)CaDiCaL version: 2.1.3
% 0.66/0.98 % (1694905)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.98 % (1694905)Time elapsed: 0.003 s
% 0.66/0.98 % (1694905)Peak memory usage: 88 MB
% 0.66/0.98 % (1694905)Instructions burned: 3 (million)
% 0.66/0.98 % (1694907)Also succeeded, but the first one will report.
% 0.66/0.98 % (1694906)Also succeeded, but the first one will report.
% 0.66/0.98 % (1694908)Refutation found. Thanks to Tanya!
% 0.66/0.98 % SZS status Theorem for theBenchmark
% 0.66/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.18 % (1694908)------------------------------
% 2.77/1.18 % (1694908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.18 % (1694908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.18 % (1694908)CaDiCaL version: 2.1.3
% 2.77/1.18 % (1694908)Termination reason: Refutation
% 2.77/1.18 % (1694908)Time elapsed: 0.004 s
% 2.77/1.18 % (1694908)Peak memory usage: 89 MB
% 2.77/1.18 % (1694908)Instructions burned: 7 (million)
% 2.77/1.18 % (1694908)------------------------------
% 2.77/1.18 % (1694908)------------------------------
% 2.77/1.18 % (1694897)Success in time 0.298 s
% 2.77/1.18 % Vampire exiting
%------------------------------------------------------------------------------