%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET714+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:41:43 PM UTC 2026
% Result : Theorem 2.79s 1.27s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 11 unt; 4 def)
% Number of atoms : 256 ( 6 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 316 ( 127 ~; 110 |; 49 &)
% ( 13 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-5 aty)
% Number of variables : 175 ( 0 sgn 158 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f16,axiom,
! [X0,X1] :
( identity(X0,X1)
<=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4] :
( ( member(X3,X1)
& member(X4,X2) )
=> ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_function) ).
fof(f29,conjecture,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
& one_to_one(X0,X1,X2) )
=> identity(compose_function(inverse_function(X0,X1,X2),X0,X1,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII05) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2] :
( ( maps(X0,X1,X2)
& one_to_one(X0,X1,X2) )
=> identity(compose_function(inverse_function(X0,X1,X2),X0,X1,X2,X1),X1) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
=> identity(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ~ identity(compose_function(inverse_function(X0,X1,X2),X0,X1,X2,X1),X1)
& maps(X0,X1,X2)
& one_to_one(X0,X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ~ identity(compose_function(inverse_function(X0,X1,X2),X0,X1,X2,X1),X1)
& maps(X0,X1,X2)
& one_to_one(X0,X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( identity(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] :
( ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) )
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] :
( ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) )
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(flattening,[],[f44]) ).
fof(f50,plain,
( ~ identity(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1)
& maps(sK0,sK1,sK2)
& one_to_one(sK0,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f38]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK3(X0,X2,X3),X2)
& apply(X0,X3,sK3(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X2,X3))],[f40]) ).
fof(f52,plain,
! [X0,X1] :
( identity(X0,X1)
| ( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f41]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(nnf_transformation,[],[f43]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X1,X5,X8)
& apply(X0,X8,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ( member(sK5(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK5(X0,X1,X3,X5,X6))
& apply(X0,sK5(X0,X1,X3,X5,X6),X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X8,sK5(X0,X1,X3,X5,X6))],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] :
( ( ( apply(X0,X3,X4)
| ~ apply(inverse_function(X0,X1,X2),X4,X3) )
& ( apply(inverse_function(X0,X1,X2),X4,X3)
| ~ apply(X0,X3,X4) ) )
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(nnf_transformation,[],[f45]) ).
fof(f62,plain,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f50]) ).
fof(f63,plain,
~ identity(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),
inference(cnf_transformation,[],[f50]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f67,plain,
! [X0,X1] :
( identity(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f68,plain,
! [X0,X1] :
( identity(X0,X1)
| ~ apply(X0,sK4(X0,X1),sK4(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( apply(inverse_function(X0,X1,X2),X4,X3)
| ~ apply(X0,X3,X4)
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f95,plain,
member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1),
inference(resolution,[],[f67,f63]) ).
fof(f97,plain,
~ apply(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1)),
inference(resolution,[],[f68,f63]) ).
fof(f98,plain,
! [X0] :
( member(sK3(sK0,sK2,X0),sK2)
| ~ member(X0,sK1) ),
inference(resolution,[],[f66,f62]) ).
fof(f100,plain,
! [X0] :
( apply(sK0,X0,sK3(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(resolution,[],[f65,f62]) ).
fof(f108,plain,
! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0)
| ~ apply(inverse_function(sK0,sK1,sK2),X0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1))
| ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1)
| ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1) ),
inference(resolution,[],[f72,f97]) ).
fof(f111,plain,
! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0)
| ~ apply(inverse_function(sK0,sK1,sK2),X0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1))
| ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1) ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f113,definition,
( spl8_1
<=> member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f114,plain,
( ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1)
| spl8_1 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,definition,
( spl8_2
<=> ! [X0] :
( ~ member(X0,sK2)
| ~ apply(inverse_function(sK0,sK1,sK2),X0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1))
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f117,plain,
( ! [X0] :
( ~ apply(inverse_function(sK0,sK1,sK2),X0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1))
| ~ member(X0,sK2)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f111,f116,f113]) ).
fof(f119,plain,
( $false
| spl8_1 ),
inference(resolution,[],[f114,f95]) ).
fof(f120,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f121,plain,
( ! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0)
| ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1)
| ~ member(X0,sK2) )
| ~ spl8_2 ),
inference(resolution,[],[f117,f73]) ).
fof(f123,plain,
( ! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0)
| ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1) )
| ~ spl8_2 ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f125,definition,
( spl8_3
<=> ! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f126,plain,
( ! [X0] :
( ~ apply(sK0,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),X0)
| ~ member(X0,sK2) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ spl8_1
| spl8_3
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f123,f116,f125,f113]) ).
fof(f128,plain,
( ~ member(sK3(sK0,sK2,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1)),sK2)
| ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1)
| ~ spl8_3 ),
inference(resolution,[],[f126,f100]) ).
fof(f131,definition,
( spl8_4
<=> member(sK3(sK0,sK2,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1)),sK2) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f132,plain,
( ~ member(sK3(sK0,sK2,sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1)),sK2)
| spl8_4 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ spl8_1
| ~ spl8_4
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f128,f125,f131,f113]) ).
fof(f134,plain,
( ~ member(sK4(compose_function(inverse_function(sK0,sK1,sK2),sK0,sK1,sK2,sK1),sK1),sK1)
| spl8_4 ),
inference(resolution,[],[f132,f98]) ).
fof(f135,plain,
( ~ spl8_1
| spl8_4 ),
inference(avatar_split_clause,[],[f134,f131,f113]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f118]) ).
cnf(s2,plain,
spl8_1,
inference(sat_conversion,[],[f120]) ).
cnf(s3,plain,
( ~ spl8_1
| ~ spl8_2
| spl8_3 ),
inference(sat_conversion,[],[f127]) ).
cnf(s4,plain,
( ~ spl8_1
| ~ spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f133]) ).
cnf(s5,plain,
( ~ spl8_1
| spl8_4 ),
inference(sat_conversion,[],[f135]) ).
cnf(s6,plain,
spl8_4,
inference(rat,[],[s5,s2]) ).
cnf(s7,plain,
~ spl8_3,
inference(rat,[],[s4,s6,s2]) ).
cnf(s8,plain,
~ spl8_2,
inference(rat,[],[s3,s7,s2]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s2]) ).
fof(f136,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET714+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 28 02:37:09 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 2.79/1.27 % (2941139)Detected formulas, will run a generic FOF schedule.
% 2.79/1.27 % (2941146)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=1282606229:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.27 % (2941150)dis-21_1_sil=8000:lcm=predicate:random_seed=3909213174: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)
% 2.79/1.27 % (2941145)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=1023052939:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.27 % (2941144)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=3899327205:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.27 % (2941148)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2190515272:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.27 % (2941149)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2787994778:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.27 % (2941147)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1894952572:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.27 % (2941147)Refutation not found, incomplete strategy
% 2.79/1.27 % (2941147)------------------------------
% 2.79/1.27 % (2941147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.27 % (2941147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.27 % (2941147)CaDiCaL version: 2.1.3
% 2.79/1.27 % (2941147)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.27 % (2941147)Time elapsed: 0.003 s
% 2.79/1.27 % (2941147)Peak memory usage: 88 MB
% 2.79/1.27 % (2941147)Instructions burned: 2 (million)
% 2.79/1.27 % (2941150)First to succeed.
% 2.79/1.27 % (2941150)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2941139"
% 2.79/1.27 % (2941149)Also succeeded, but the first one will report.
% 2.79/1.27 % (2941148)Instruction limit reached!
% 2.79/1.27 % (2941148)------------------------------
% 2.79/1.27 % (2941148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.27 % (2941148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.27 % (2941148)CaDiCaL version: 2.1.3
% 2.79/1.27 % (2941148)Termination reason: Instruction limit
% 2.79/1.27 % (2941148)Termination phase: Saturation
% 2.79/1.27 % (2941148)Time elapsed: 0.069 s
% 2.79/1.27 % (2941148)Peak memory usage: 89 MB
% 2.79/1.27 % (2941148)Instructions burned: 121 (million)
% 2.79/1.27 % (2941147)------------------------------
% 2.79/1.27 % (2941147)------------------------------
% 2.79/1.27 % (2941158)lrs+10_1_sil=8000:sp=occurrence:random_seed=1244699416:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.79/1.27 % (2941150)Refutation found. Thanks to Tanya!
% 2.79/1.27 % SZS status Theorem for theBenchmark
% 2.79/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.47 % (2941150)------------------------------
% 3.60/1.47 % (2941150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.47 % (2941150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.47 % (2941150)CaDiCaL version: 2.1.3
% 3.60/1.47 % (2941150)Termination reason: Refutation
% 3.60/1.47 % (2941150)Time elapsed: 0.005 s
% 3.60/1.47 % (2941150)Peak memory usage: 89 MB
% 3.60/1.47 % (2941150)Instructions burned: 5 (million)
% 3.60/1.47 % (2941150)------------------------------
% 3.60/1.47 % (2941150)------------------------------
% 3.60/1.47 % (2941139)Success in time 0.433 s
% 3.60/1.47 % Vampire exiting
%------------------------------------------------------------------------------