%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN067+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:49:12 PM UTC 2026
% Result : Theorem 1.77s 0.67s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 193 ( 12 unt; 28 def)
% Number of atoms : 820 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1067 ( 440 ~; 483 |; 107 &)
% ( 30 <=>; 4 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 28 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 215 ( 0 sgn 158 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( ( big_p(a)
& ( big_p(X0)
=> ? [X1] :
( big_p(X1)
& big_r(X0,X1) ) ) )
=> ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) ) )
<=> ! [X4] :
( ( ~ big_p(a)
| big_p(X4)
| ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) ) )
& ( ~ big_p(a)
| ~ ? [X7] :
( big_p(X7)
& big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ( big_p(a)
& ( big_p(X0)
=> ? [X1] :
( big_p(X1)
& big_r(X0,X1) ) ) )
=> ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) ) )
<=> ! [X4] :
( ( ~ big_p(a)
| big_p(X4)
| ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) ) )
& ( ~ big_p(a)
| ~ ? [X7] :
( big_p(X7)
& big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
( ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) )
| ~ big_p(a)
| ( ! [X1] :
( ~ big_p(X1)
| ~ big_r(X0,X1) )
& big_p(X0) ) )
<~> ! [X4] :
( ( ~ big_p(a)
| big_p(X4)
| ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) ) )
& ( ~ big_p(a)
| ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0] :
( ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) )
| ~ big_p(a)
| ( ! [X1] :
( ~ big_p(X1)
| ~ big_r(X0,X1) )
& big_p(X0) ) )
<~> ! [X4] :
( ( ~ big_p(a)
| big_p(X4)
| ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) ) )
& ( ~ big_p(a)
| ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,definition,
! [X4] :
( sP0(X4)
<=> ( ~ big_p(a)
| ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f6,definition,
( sP1
<=> ! [X0] :
( ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) )
| ~ big_p(a)
| ( ! [X1] :
( ~ big_p(X1)
| ~ big_r(X0,X1) )
& big_p(X0) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f7,plain,
( sP1
<~> ! [X4] :
( ( ~ big_p(a)
| big_p(X4)
| ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) ) )
& sP0(X4) ) ),
inference(definition_folding,[],[f4,f6,f5]) ).
fof(f8,plain,
( ( sP1
| ? [X0] :
( ! [X2,X3] :
( ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_r(X3,X2) )
& big_p(a)
& ( ? [X1] :
( big_p(X1)
& big_r(X0,X1) )
| ~ big_p(X0) ) ) )
& ( ! [X0] :
( ? [X2,X3] :
( big_p(X2)
& big_r(X0,X3)
& big_r(X3,X2) )
| ~ big_p(a)
| ( ! [X1] :
( ~ big_p(X1)
| ~ big_r(X0,X1) )
& big_p(X0) ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f9,plain,
( ( sP1
| ? [X0] :
( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X0,X2)
| ~ big_r(X2,X1) )
& big_p(a)
& ( ? [X3] :
( big_p(X3)
& big_r(X0,X3) )
| ~ big_p(X0) ) ) )
& ( ! [X4] :
( ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) )
| ~ big_p(a)
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
& big_p(X4) ) )
| ~ sP1 ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
( ( sP1
| ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(sK2,X2)
| ~ big_r(X2,X1) )
& big_p(a)
& ( ( big_p(sK3)
& big_r(sK2,sK3) )
| ~ big_p(sK2) ) ) )
& ( ! [X4] :
( ( big_p(sK4(X4))
& big_r(X4,sK5(X4))
& big_r(sK5(X4),sK4(X4)) )
| ~ big_p(a)
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
& big_p(X4) ) )
| ~ sP1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X3,sK3),skolemize(X5,sK4(X4)),skolemize(X6,sK5(X4))],[f9]) ).
fof(f11,plain,
! [X4] :
( ( sP0(X4)
| ( big_p(a)
& ? [X7] :
( big_p(X7)
& big_r(X4,X7) )
& ! [X8,X9] :
( ~ big_p(X8)
| ~ big_r(X4,X9)
| ~ big_r(X9,X8) ) ) )
& ( ~ big_p(a)
| ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) )
| ~ sP0(X4) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X4] :
( ( sP0(X4)
| ( big_p(a)
& ? [X7] :
( big_p(X7)
& big_r(X4,X7) )
& ! [X8,X9] :
( ~ big_p(X8)
| ~ big_r(X4,X9)
| ~ big_r(X9,X8) ) ) )
& ( ~ big_p(a)
| ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
| ? [X8,X9] :
( big_p(X8)
& big_r(X4,X9)
& big_r(X9,X8) )
| ~ sP0(X4) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ( sP0(X0)
| ( big_p(a)
& ? [X1] :
( big_p(X1)
& big_r(X0,X1) )
& ! [X2,X3] :
( ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_r(X3,X2) ) ) )
& ( ~ big_p(a)
| ! [X4] :
( ~ big_p(X4)
| ~ big_r(X0,X4) )
| ? [X5,X6] :
( big_p(X5)
& big_r(X0,X6)
& big_r(X6,X5) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ( sP0(X0)
| ( big_p(a)
& big_p(sK6(X0))
& big_r(X0,sK6(X0))
& ! [X2,X3] :
( ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_r(X3,X2) ) ) )
& ( ~ big_p(a)
| ! [X4] :
( ~ big_p(X4)
| ~ big_r(X0,X4) )
| ( big_p(sK7(X0))
& big_r(X0,sK8(X0))
& big_r(sK8(X0),sK7(X0)) )
| ~ sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X5,sK7(X0)),skolemize(X6,sK8(X0))],[f13]) ).
fof(f15,plain,
( ( ? [X4] :
( ( big_p(a)
& ~ big_p(X4)
& ! [X5,X6] :
( ~ big_p(X5)
| ~ big_r(X4,X6)
| ~ big_r(X6,X5) ) )
| ~ sP0(X4) )
| ~ sP1 )
& ( ! [X4] :
( ( ~ big_p(a)
| big_p(X4)
| ? [X5,X6] :
( big_p(X5)
& big_r(X4,X6)
& big_r(X6,X5) ) )
& sP0(X4) )
| sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f16,plain,
( ( ? [X0] :
( ( big_p(a)
& ~ big_p(X0)
& ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X0,X2)
| ~ big_r(X2,X1) ) )
| ~ sP0(X0) )
| ~ sP1 )
& ( ! [X3] :
( ( ~ big_p(a)
| big_p(X3)
| ? [X4,X5] :
( big_p(X4)
& big_r(X3,X5)
& big_r(X5,X4) ) )
& sP0(X3) )
| sP1 ) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
( ( ( big_p(a)
& ~ big_p(sK9)
& ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(sK9,X2)
| ~ big_r(X2,X1) ) )
| ~ sP0(sK9)
| ~ sP1 )
& ( ! [X3] :
( ( ~ big_p(a)
| big_p(X3)
| ( big_p(sK10(X3))
& big_r(X3,sK11(X3))
& big_r(sK11(X3),sK10(X3)) ) )
& sP0(X3) )
| sP1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X4,sK10(X3)),skolemize(X5,sK11(X3))],[f16]) ).
fof(f18,plain,
! [X4] :
( big_r(sK5(X4),sK4(X4))
| ~ big_p(a)
| big_p(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X7,X4] :
( big_r(sK5(X4),sK4(X4))
| ~ big_p(a)
| ~ big_p(X7)
| ~ big_r(X4,X7)
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X4] :
( big_r(X4,sK5(X4))
| ~ big_p(a)
| big_p(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X7,X4] :
( big_r(X4,sK5(X4))
| ~ big_p(a)
| ~ big_p(X7)
| ~ big_r(X4,X7)
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
! [X4] :
( big_p(sK4(X4))
| ~ big_p(a)
| big_p(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
! [X7,X4] :
( big_p(sK4(X4))
| ~ big_p(a)
| ~ big_p(X7)
| ~ big_r(X4,X7)
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
( sP1
| big_r(sK2,sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f25,plain,
( sP1
| big_p(sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f26,plain,
( sP1
| big_p(a) ),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X2,X1] :
( sP1
| ~ big_p(X1)
| ~ big_r(sK2,X2)
| ~ big_r(X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X4] :
( ~ big_p(a)
| ~ big_p(X4)
| ~ big_r(X0,X4)
| big_r(sK8(X0),sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0,X4] :
( ~ big_p(a)
| ~ big_p(X4)
| ~ big_r(X0,X4)
| big_r(X0,sK8(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0,X4] :
( ~ big_p(a)
| ~ big_p(X4)
| ~ big_r(X0,X4)
| big_p(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X2,X3,X0] :
( sP0(X0)
| ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_r(X3,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0] :
( sP0(X0)
| big_r(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0] :
( big_p(sK6(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X0] :
( sP0(X0)
| big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X3] :
( sP0(X3)
| sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X3] :
( ~ big_p(a)
| big_p(X3)
| big_r(sK11(X3),sK10(X3))
| sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
! [X3] :
( ~ big_p(a)
| big_p(X3)
| big_r(X3,sK11(X3))
| sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X3] :
( ~ big_p(a)
| big_p(X3)
| big_p(sK10(X3))
| sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f39,plain,
! [X2,X1] :
( ~ big_p(X1)
| ~ big_r(sK9,X2)
| ~ big_r(X2,X1)
| ~ sP0(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f40,plain,
( ~ big_p(sK9)
| ~ sP0(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
( big_p(a)
| ~ sP0(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,definition,
( spl12_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f47,definition,
( spl12_2
<=> ! [X3] : sP0(X3) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f48,plain,
( ! [X3] : sP0(X3)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f49,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f35,f47,f43]) ).
fof(f51,definition,
( spl12_3
<=> ! [X3] :
( big_p(X3)
| big_r(sK11(X3),sK10(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f52,plain,
( ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,definition,
( spl12_4
<=> big_p(a) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f57,plain,
( spl12_1
| spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f36,f54,f51,f43]) ).
fof(f59,definition,
( spl12_5
<=> ! [X3] :
( big_p(X3)
| big_r(X3,sK11(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f60,plain,
( ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( spl12_1
| spl12_5
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f37,f54,f59,f43]) ).
fof(f63,definition,
( spl12_6
<=> ! [X3] :
( big_p(X3)
| big_p(sK10(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f64,plain,
( ! [X3] :
( big_p(sK10(X3))
| big_p(X3) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( spl12_1
| spl12_6
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f38,f54,f63,f43]) ).
fof(f67,definition,
( spl12_7
<=> sP0(sK9) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f69,plain,
( ~ sP0(sK9)
| spl12_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl12_8
<=> ! [X2,X1] :
( ~ big_p(X1)
| ~ big_r(sK9,X2)
| ~ big_r(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2,X1] :
( ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( ~ spl12_1
| ~ spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f39,f71,f67,f43]) ).
fof(f75,definition,
( spl12_9
<=> big_p(sK9) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f77,plain,
( ~ big_p(sK9)
| spl12_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( ~ spl12_1
| ~ spl12_7
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f40,f75,f67,f43]) ).
fof(f79,plain,
( ~ spl12_1
| ~ spl12_7
| spl12_4 ),
inference(avatar_split_clause,[],[f41,f54,f67,f43]) ).
fof(f81,definition,
( spl12_10
<=> ! [X4,X0] :
( ~ big_p(X4)
| ~ sP0(X0)
| big_r(sK8(X0),sK7(X0))
| ~ big_r(X0,X4) ) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f82,plain,
( ! [X0,X4] :
( big_r(sK8(X0),sK7(X0))
| ~ sP0(X0)
| ~ big_p(X4)
| ~ big_r(X0,X4) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( spl12_10
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f28,f54,f81]) ).
fof(f85,definition,
( spl12_11
<=> ! [X4,X0] :
( ~ big_p(X4)
| ~ sP0(X0)
| big_r(X0,sK8(X0))
| ~ big_r(X0,X4) ) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f86,plain,
( ! [X0,X4] :
( ~ sP0(X0)
| ~ big_p(X4)
| big_r(X0,sK8(X0))
| ~ big_r(X0,X4) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( spl12_11
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f29,f54,f85]) ).
fof(f89,definition,
( spl12_12
<=> ! [X4,X0] :
( ~ big_p(X4)
| ~ sP0(X0)
| big_p(sK7(X0))
| ~ big_r(X0,X4) ) ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
fof(f90,plain,
( ! [X0,X4] :
( big_p(sK7(X0))
| ~ sP0(X0)
| ~ big_p(X4)
| ~ big_r(X0,X4) )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( spl12_12
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f30,f54,f89]) ).
fof(f92,plain,
( spl12_4
| spl12_2 ),
inference(avatar_split_clause,[],[f34,f47,f54]) ).
fof(f94,definition,
( spl12_13
<=> ! [X4] :
( big_r(sK5(X4),sK4(X4))
| big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f95,plain,
( ! [X4] :
( big_r(sK5(X4),sK4(X4))
| big_p(X4) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_13 ),
inference(avatar_split_clause,[],[f18,f94,f54,f43]) ).
fof(f98,definition,
( spl12_14
<=> ! [X4,X7] :
( big_r(sK5(X4),sK4(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7) ) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f99,plain,
( ! [X7,X4] :
( big_r(sK5(X4),sK4(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_14 ),
inference(avatar_split_clause,[],[f19,f98,f54,f43]) ).
fof(f102,definition,
( spl12_15
<=> ! [X4] :
( big_r(X4,sK5(X4))
| big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f103,plain,
( ! [X4] :
( big_r(X4,sK5(X4))
| big_p(X4) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_15 ),
inference(avatar_split_clause,[],[f20,f102,f54,f43]) ).
fof(f106,definition,
( spl12_16
<=> ! [X4,X7] :
( big_r(X4,sK5(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7) ) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f107,plain,
( ! [X7,X4] :
( ~ big_p(X7)
| ~ big_r(X4,X7)
| big_r(X4,sK5(X4)) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_16 ),
inference(avatar_split_clause,[],[f21,f106,f54,f43]) ).
fof(f110,definition,
( spl12_17
<=> ! [X4] :
( big_p(sK4(X4))
| big_p(X4) ) ),
introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).
fof(f111,plain,
( ! [X4] :
( big_p(sK4(X4))
| big_p(X4) )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_17 ),
inference(avatar_split_clause,[],[f22,f110,f54,f43]) ).
fof(f114,definition,
( spl12_18
<=> ! [X4,X7] :
( big_p(sK4(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7) ) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f115,plain,
( ! [X7,X4] :
( big_p(sK4(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_18 ),
inference(avatar_split_clause,[],[f23,f114,f54,f43]) ).
fof(f118,definition,
( spl12_19
<=> big_p(sK2) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f120,plain,
( ~ big_p(sK2)
| spl12_19 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl12_20
<=> big_r(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition]) ).
fof(f124,plain,
( big_r(sK2,sK3)
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( ~ spl12_19
| spl12_20
| spl12_1 ),
inference(avatar_split_clause,[],[f24,f43,f122,f118]) ).
fof(f127,definition,
( spl12_21
<=> big_p(sK3) ),
introduced(definition,[new_symbols(definition,[spl12_21])],[avatar_definition]) ).
fof(f130,plain,
( ~ spl12_19
| spl12_21
| spl12_1 ),
inference(avatar_split_clause,[],[f25,f43,f127,f118]) ).
fof(f131,plain,
( spl12_4
| spl12_1 ),
inference(avatar_split_clause,[],[f26,f43,f54]) ).
fof(f133,definition,
( spl12_22
<=> ! [X2,X1] :
( ~ big_p(X1)
| ~ big_r(sK2,X2)
| ~ big_r(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f134,plain,
( ! [X2,X1] :
( ~ big_r(sK2,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl12_22
| spl12_1 ),
inference(avatar_split_clause,[],[f27,f43,f133]) ).
fof(f136,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK11(sK2),X0)
| big_p(sK2) )
| ~ spl12_5
| ~ spl12_22 ),
inference(resolution,[],[f134,f60]) ).
fof(f138,plain,
( ! [X0] :
( ~ big_r(sK11(sK2),X0)
| ~ big_p(X0) )
| ~ spl12_5
| spl12_19
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f136,f120]) ).
fof(f139,plain,
( ~ big_p(sK10(sK2))
| big_p(sK2)
| ~ spl12_3
| ~ spl12_5
| spl12_19
| ~ spl12_22 ),
inference(resolution,[],[f138,f52]) ).
fof(f150,plain,
( big_p(sK2)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| spl12_19
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f139,f64]) ).
fof(f151,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| spl12_19
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f150,f120]) ).
fof(f152,plain,
( ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f164,plain,
( ! [X0,X4] :
( big_p(sK7(X0))
| ~ big_p(X4)
| ~ big_r(X0,X4) )
| ~ spl12_2
| ~ spl12_12 ),
inference(forward_subsumption_resolution,[],[f90,f48]) ).
fof(f165,plain,
( ! [X0,X4] :
( big_r(X0,sK8(X0))
| ~ big_p(X4)
| ~ big_r(X0,X4) )
| ~ spl12_2
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f86,f48]) ).
fof(f169,definition,
( spl12_27
<=> ! [X1] :
( ~ big_p(X1)
| ~ big_r(sK8(sK2),X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_27])],[avatar_definition]) ).
fof(f170,plain,
( ! [X1] :
( ~ big_r(sK8(sK2),X1)
| ~ big_p(X1) )
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,definition,
( spl12_28
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_28])],[avatar_definition]) ).
fof(f173,plain,
( ! [X0] :
( ~ big_r(sK2,X0)
| ~ big_p(X0) )
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( $false
| ~ spl12_2
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f69,f48]) ).
fof(f176,plain,
( ~ spl12_2
| spl12_7 ),
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f179,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(sK2,X0)
| ~ big_p(X1)
| ~ big_r(sK8(sK2),X1) )
| ~ spl12_2
| ~ spl12_11
| ~ spl12_22 ),
inference(resolution,[],[f165,f134]) ).
fof(f181,plain,
( spl12_27
| spl12_28
| ~ spl12_2
| ~ spl12_11
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f179,f133,f85,f47,f172,f169]) ).
fof(f182,plain,
( ~ big_p(sK3)
| ~ spl12_20
| ~ spl12_28 ),
inference(resolution,[],[f173,f124]) ).
fof(f198,plain,
( ! [X0,X4] :
( big_r(sK8(X0),sK7(X0))
| ~ big_p(X4)
| ~ big_r(X0,X4) )
| ~ spl12_2
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f82,f48]) ).
fof(f199,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK2,X0)
| ~ big_p(sK7(sK2)) )
| ~ spl12_2
| ~ spl12_10
| ~ spl12_27 ),
inference(resolution,[],[f198,f170]) ).
fof(f200,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK2,X0) )
| ~ spl12_2
| ~ spl12_10
| ~ spl12_12
| ~ spl12_27 ),
inference(forward_subsumption_resolution,[],[f199,f164]) ).
fof(f201,plain,
( spl12_28
| ~ spl12_2
| ~ spl12_10
| ~ spl12_12
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f200,f169,f89,f81,f47,f172]) ).
fof(f202,plain,
( ~ spl12_21
| ~ spl12_20
| ~ spl12_28 ),
inference(avatar_split_clause,[],[f182,f172,f122,f127]) ).
fof(f212,definition,
( spl12_32
<=> ! [X1] :
( ~ big_p(X1)
| ~ big_r(sK9,X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_32])],[avatar_definition]) ).
fof(f213,plain,
( ! [X1] :
( ~ big_r(sK9,X1)
| ~ big_p(X1) )
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f247,plain,
( ! [X0] :
( big_p(sK9)
| ~ big_p(X0)
| ~ big_r(sK5(sK9),X0) )
| ~ spl12_8
| ~ spl12_15 ),
inference(resolution,[],[f103,f72]) ).
fof(f250,plain,
( ! [X0] :
( ~ big_r(sK5(sK9),X0)
| ~ big_p(X0) )
| ~ spl12_8
| spl12_9
| ~ spl12_15 ),
inference(forward_subsumption_resolution,[],[f247,f77]) ).
fof(f264,plain,
( ~ big_p(sK4(sK9))
| big_p(sK9)
| ~ spl12_8
| spl12_9
| ~ spl12_13
| ~ spl12_15 ),
inference(resolution,[],[f250,f95]) ).
fof(f270,plain,
( big_p(sK9)
| ~ spl12_8
| spl12_9
| ~ spl12_13
| ~ spl12_15
| ~ spl12_17 ),
inference(forward_subsumption_resolution,[],[f264,f111]) ).
fof(f272,plain,
( $false
| ~ spl12_8
| spl12_9
| ~ spl12_13
| ~ spl12_15
| ~ spl12_17 ),
inference(forward_subsumption_resolution,[],[f270,f77]) ).
fof(f273,plain,
( ~ spl12_8
| spl12_9
| ~ spl12_13
| ~ spl12_15
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f274,plain,
( ! [X0,X1] :
( ~ big_r(X1,sK6(X0))
| sP0(X0)
| big_r(X1,sK5(X1)) )
| ~ spl12_16 ),
inference(resolution,[],[f33,f107]) ).
fof(f275,plain,
( big_r(sK9,sK6(sK9))
| spl12_7 ),
inference(resolution,[],[f32,f69]) ).
fof(f276,plain,
( ~ big_p(sK6(sK9))
| spl12_7
| ~ spl12_32 ),
inference(resolution,[],[f275,f213]) ).
fof(f277,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(sK9,X1)
| ~ big_r(X1,X0) )
| spl12_7 ),
inference(resolution,[],[f31,f69]) ).
fof(f278,plain,
( spl12_8
| spl12_7 ),
inference(avatar_split_clause,[],[f277,f67,f71]) ).
fof(f284,definition,
( spl12_38
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK5(sK9),X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_38])],[avatar_definition]) ).
fof(f285,plain,
( ! [X0] :
( ~ big_r(sK5(sK9),X0)
| ~ big_p(X0) )
| ~ spl12_38 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f297,plain,
( sP0(sK9)
| spl12_7
| ~ spl12_32 ),
inference(resolution,[],[f276,f33]) ).
fof(f298,plain,
( $false
| spl12_7
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f297,f69]) ).
fof(f299,plain,
( spl12_7
| ~ spl12_32 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f325,plain,
( sP0(sK9)
| big_r(sK9,sK5(sK9))
| spl12_7
| ~ spl12_16 ),
inference(resolution,[],[f274,f275]) ).
fof(f326,plain,
( big_r(sK9,sK5(sK9))
| spl12_7
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f325,f69]) ).
fof(f327,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK5(sK9),X0) )
| spl12_7
| ~ spl12_8
| ~ spl12_16 ),
inference(resolution,[],[f326,f72]) ).
fof(f328,plain,
( spl12_38
| spl12_7
| ~ spl12_8
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f327,f106,f71,f67,f284]) ).
fof(f329,plain,
( ! [X0] :
( ~ big_p(sK4(sK9))
| ~ big_r(sK9,X0)
| ~ big_p(X0) )
| ~ spl12_14
| ~ spl12_38 ),
inference(resolution,[],[f285,f99]) ).
fof(f345,plain,
( ! [X0] :
( ~ big_r(sK9,X0)
| ~ big_p(X0) )
| ~ spl12_14
| ~ spl12_18
| ~ spl12_38 ),
inference(forward_subsumption_resolution,[],[f329,f115]) ).
fof(f346,plain,
( spl12_32
| ~ spl12_14
| ~ spl12_18
| ~ spl12_38 ),
inference(avatar_split_clause,[],[f345,f284,f114,f98,f212]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
( spl12_1
| spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
( spl12_1
| ~ spl12_4
| spl12_5 ),
inference(sat_conversion,[],[f61]) ).
cnf(s4,plain,
( spl12_1
| ~ spl12_4
| spl12_6 ),
inference(sat_conversion,[],[f65]) ).
cnf(s5,plain,
( ~ spl12_1
| ~ spl12_7
| spl12_8 ),
inference(sat_conversion,[],[f73]) ).
cnf(s6,plain,
( ~ spl12_1
| ~ spl12_7
| ~ spl12_9 ),
inference(sat_conversion,[],[f78]) ).
cnf(s7,plain,
( ~ spl12_1
| spl12_4
| ~ spl12_7 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
( ~ spl12_4
| spl12_10 ),
inference(sat_conversion,[],[f83]) ).
cnf(s9,plain,
( ~ spl12_4
| spl12_11 ),
inference(sat_conversion,[],[f87]) ).
cnf(s10,plain,
( ~ spl12_4
| spl12_12 ),
inference(sat_conversion,[],[f91]) ).
cnf(s11,plain,
( spl12_2
| spl12_4 ),
inference(sat_conversion,[],[f92]) ).
cnf(s12,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_13 ),
inference(sat_conversion,[],[f96]) ).
cnf(s13,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_14 ),
inference(sat_conversion,[],[f100]) ).
cnf(s14,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_15 ),
inference(sat_conversion,[],[f104]) ).
cnf(s15,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_16 ),
inference(sat_conversion,[],[f108]) ).
cnf(s16,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_17 ),
inference(sat_conversion,[],[f112]) ).
cnf(s17,plain,
( ~ spl12_1
| ~ spl12_4
| spl12_18 ),
inference(sat_conversion,[],[f116]) ).
cnf(s18,plain,
( spl12_1
| ~ spl12_19
| spl12_20 ),
inference(sat_conversion,[],[f125]) ).
cnf(s19,plain,
( spl12_1
| ~ spl12_19
| spl12_21 ),
inference(sat_conversion,[],[f130]) ).
cnf(s20,plain,
( spl12_1
| spl12_4 ),
inference(sat_conversion,[],[f131]) ).
cnf(s21,plain,
( spl12_1
| spl12_22 ),
inference(sat_conversion,[],[f135]) ).
cnf(s23,plain,
( ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| spl12_19
| ~ spl12_22 ),
inference(sat_conversion,[],[f152]) ).
cnf(s27,plain,
( ~ spl12_2
| spl12_7 ),
inference(sat_conversion,[],[f176]) ).
cnf(s29,plain,
( ~ spl12_2
| ~ spl12_11
| ~ spl12_22
| spl12_27
| spl12_28 ),
inference(sat_conversion,[],[f181]) ).
cnf(s32,plain,
( ~ spl12_2
| ~ spl12_10
| ~ spl12_12
| ~ spl12_27
| spl12_28 ),
inference(sat_conversion,[],[f201]) ).
cnf(s33,plain,
( ~ spl12_20
| ~ spl12_21
| ~ spl12_28 ),
inference(sat_conversion,[],[f202]) ).
cnf(s41,plain,
( ~ spl12_8
| spl12_9
| ~ spl12_13
| ~ spl12_15
| ~ spl12_17 ),
inference(sat_conversion,[],[f273]) ).
cnf(s42,plain,
( spl12_7
| spl12_8 ),
inference(sat_conversion,[],[f278]) ).
cnf(s46,plain,
( spl12_7
| ~ spl12_32 ),
inference(sat_conversion,[],[f299]) ).
cnf(s49,plain,
( spl12_7
| ~ spl12_8
| ~ spl12_16
| spl12_38 ),
inference(sat_conversion,[],[f328]) ).
cnf(s52,plain,
( ~ spl12_14
| ~ spl12_18
| spl12_32
| ~ spl12_38 ),
inference(sat_conversion,[],[f346]) ).
cnf(s53,plain,
spl12_1,
inference(rat,[],[s32,s29,s33,s18,s19,s23,s3,s4,s8,s9,s10,s1,s2,s20,s21]) ).
cnf(s54,plain,
~ spl12_7,
inference(rat,[],[s41,s12,s14,s16,s7,s5,s6,s53]) ).
cnf(s55,plain,
~ spl12_32,
inference(rat,[],[s46,s54]) ).
cnf(s56,plain,
spl12_8,
inference(rat,[],[s42,s54]) ).
cnf(s57,plain,
~ spl12_2,
inference(rat,[],[s27,s54]) ).
cnf(s58,plain,
spl12_4,
inference(rat,[],[s11,s57]) ).
cnf(s59,plain,
spl12_18,
inference(rat,[],[s17,s53,s58]) ).
cnf(s61,plain,
spl12_16,
inference(rat,[],[s15,s53,s58]) ).
cnf(s63,plain,
spl12_14,
inference(rat,[],[s13,s53,s58]) ).
cnf(s68,plain,
spl12_38,
inference(rat,[],[s49,s56,s54,s61]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s52,s59,s55,s68,s63]) ).
fof(f347,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n016.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 15:32:49 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 1.77/0.67 % (3710447)Detected formulas, will run a generic FOF schedule.
% 1.77/0.67 % (3710457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1258047953:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.77/0.67 % (3710457)First to succeed.
% 1.77/0.67 % (3710457)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3710447"
% 1.77/0.67 % (3710456)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3700226073:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.77/0.67 % (3710455)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2390771846:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.77/0.67 % (3710452)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=3147028073:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.77/0.67 % (3710458)dis-21_1_sil=8000:lcm=predicate:random_seed=2808934008: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)
% 1.77/0.67 % (3710454)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=2144205480:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.77/0.67 % (3710453)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=2873478480:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.77/0.67 % (3710455)Refutation not found, incomplete strategy
% 1.77/0.67 % (3710455)------------------------------
% 1.77/0.67 % (3710455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.77/0.67 % (3710455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.67 % (3710455)CaDiCaL version: 2.1.3
% 1.77/0.67 % (3710455)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.67 % (3710455)Time elapsed: 0.003 s
% 1.77/0.67 % (3710455)Peak memory usage: 88 MB
% 1.77/0.67 % (3710455)Instructions burned: 4 (million)
% 1.77/0.67 % (3710456)Also succeeded, but the first one will report.
% 1.77/0.67 % (3710458)Also succeeded, but the first one will report.
% 1.77/0.67 % (3710457)Refutation found. Thanks to Tanya!
% 1.77/0.67 % SZS status Theorem for theBenchmark
% 1.77/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.86 % (3710457)------------------------------
% 2.22/0.86 % (3710457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/0.86 % (3710457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.86 % (3710457)CaDiCaL version: 2.1.3
% 2.22/0.86 % (3710457)Termination reason: Refutation
% 2.22/0.86 % (3710457)Time elapsed: 0.005 s
% 2.22/0.86 % (3710457)Peak memory usage: 89 MB
% 2.22/0.86 % (3710457)Instructions burned: 10 (million)
% 2.22/0.86 % (3710457)------------------------------
% 2.22/0.86 % (3710457)------------------------------
% 2.22/0.86 % (3710447)Success in time 0.263 s
% 2.22/0.86 % Vampire exiting
%------------------------------------------------------------------------------