%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET771+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 : n011.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 12:41:53 PM UTC 2026
% Result : Theorem 2.02s 1.61s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 146 ( 7 unt; 7 def)
% Number of atoms : 740 ( 12 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 982 ( 388 ~; 434 |; 116 &)
% ( 14 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 318 ( 0 sgn 267 !; 51 ?)
% 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(f31,axiom,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X2,X3,X4] :
( ( member(X2,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X2,X3)
& apply(X1,X3,X4) )
=> apply(X1,X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
fof(f34,conjecture,
! [X0,X1,X2,X3] :
( ( maps(X0,X1,X2)
& ! [X4,X5] :
( ( member(X4,X1)
& member(X5,X1) )
=> ( apply(X3,X4,X5)
<=> ? [X6] :
( member(X6,X2)
& apply(X0,X4,X6)
& apply(X0,X5,X6) ) ) ) )
=> equivalence(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII07) ).
fof(f35,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( maps(X0,X1,X2)
& ! [X4,X5] :
( ( member(X4,X1)
& member(X5,X1) )
=> ( apply(X3,X4,X5)
<=> ? [X6] :
( member(X6,X2)
& apply(X0,X4,X6)
& apply(X0,X5,X6) ) ) ) )
=> equivalence(X3,X1) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f36,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(f37,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) ) ),
inference(rectify,[],[f31]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) )
=> equivalence(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f39,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,[],[f36]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& maps(X0,X1,X2)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ? [X6] :
( member(X6,X2)
& apply(X0,X4,X6)
& apply(X0,X5,X6) ) )
| ~ member(X4,X1)
| ~ member(X5,X1) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& maps(X0,X1,X2)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ? [X6] :
( member(X6,X2)
& apply(X0,X4,X6)
& apply(X0,X5,X6) ) )
| ~ member(X4,X1)
| ~ member(X5,X1) ) ),
inference(flattening,[],[f40]) ).
fof(f42,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,[],[f39]) ).
fof(f43,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,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f45,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) ) ),
inference(flattening,[],[f44]) ).
fof(f46,definition,
! [X1,X0] :
( ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f47,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| sP0(X1,X0) ),
inference(definition_folding,[],[f45,f46]) ).
fof(f48,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& maps(X0,X1,X2)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ! [X6] :
( ~ member(X6,X2)
| ~ apply(X0,X4,X6)
| ~ apply(X0,X5,X6) ) )
& ( ? [X6] :
( member(X6,X2)
& apply(X0,X4,X6)
& apply(X0,X5,X6) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X4,X1)
| ~ member(X5,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f49,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& maps(X0,X1,X2)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ! [X6] :
( ~ member(X6,X2)
| ~ apply(X0,X4,X6)
| ~ apply(X0,X5,X6) ) )
& ( ? [X7] :
( member(X7,X2)
& apply(X0,X4,X7)
& apply(X0,X5,X7) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X4,X1)
| ~ member(X5,X1) ) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
( ~ equivalence(sK4,sK2)
& maps(sK1,sK2,sK3)
& ! [X4,X5] :
( ( ( apply(sK4,X4,X5)
| ! [X6] :
( ~ member(X6,sK3)
| ~ apply(sK1,X4,X6)
| ~ apply(sK1,X5,X6) ) )
& ( ( member(sK5(X4,X5),sK3)
& apply(sK1,X4,sK5(X4,X5))
& apply(sK1,X5,sK5(X4,X5)) )
| ~ apply(sK4,X4,X5) ) )
| ~ member(X4,sK2)
| ~ member(X5,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X7,sK5(X4,X5))],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK6(X0,X2,X3),X2)
& apply(X0,X3,sK6(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,[sK6]),skolemize(X4,sK6(X0,X2,X3))],[f43]) ).
fof(f52,plain,
! [X1,X0] :
( ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X2,X3)
& apply(X0,X3,X4)
& member(X2,X1)
& member(X3,X1)
& member(X4,X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
& apply(X0,sK7(X0,X1),sK8(X0,X1))
& apply(X0,sK8(X0,X1),sK9(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK8(X0,X1),X1)
& member(sK9(X0,X1),X1) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1)),skolemize(X4,sK9(X0,X1))],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) )
| ( ~ apply(X1,sK12(X0,X1),sK11(X0,X1))
& apply(X1,sK11(X0,X1),sK12(X0,X1))
& member(sK11(X0,X1),X0)
& member(sK12(X0,X1),X0) )
| sP0(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1)),skolemize(X4,sK12(X0,X1))],[f47]) ).
fof(f56,plain,
! [X4,X5] :
( apply(sK1,X5,sK5(X4,X5))
| ~ apply(sK4,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f57,plain,
! [X4,X5] :
( apply(sK1,X4,sK5(X4,X5))
| ~ apply(sK4,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f58,plain,
! [X4,X5] :
( member(sK5(X4,X5),sK3)
| ~ apply(sK4,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f59,plain,
! [X6,X4,X5] :
( ~ apply(sK1,X5,X6)
| ~ member(X6,sK3)
| ~ apply(sK1,X4,X6)
| apply(sK4,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f60,plain,
maps(sK1,sK2,sK3),
inference(cnf_transformation,[],[f50]) ).
fof(f61,plain,
~ equivalence(sK4,sK2),
inference(cnf_transformation,[],[f50]) ).
fof(f62,plain,
! [X2,X0,X1,X6,X7,X5] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3,sK6(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( member(sK6(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f65,plain,
! [X0,X1] :
( member(sK9(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f66,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f67,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f68,plain,
! [X0,X1] :
( apply(X0,sK8(X0,X1),sK9(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f69,plain,
! [X0,X1] :
( apply(X0,sK7(X0,X1),sK8(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f70,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f71,plain,
! [X0,X1] :
( member(sK12(X0,X1),X0)
| member(sK10(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f72,plain,
! [X0,X1] :
( member(sK11(X0,X1),X0)
| member(sK10(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f73,plain,
! [X0,X1] :
( apply(X1,sK11(X0,X1),sK12(X0,X1))
| member(sK10(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f74,plain,
! [X0,X1] :
( ~ apply(X1,sK12(X0,X1),sK11(X0,X1))
| member(sK10(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f75,plain,
! [X0,X1] :
( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
| equivalence(X1,X0)
| member(sK12(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f76,plain,
! [X0,X1] :
( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
| equivalence(X1,X0)
| member(sK11(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f77,plain,
! [X0,X1] :
( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
| equivalence(X1,X0)
| apply(X1,sK11(X0,X1),sK12(X0,X1))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f78,plain,
! [X0,X1] :
( ~ apply(X1,sK12(X0,X1),sK11(X0,X1))
| ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f79,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| sP13(X5,X2,X0) ),
inference(cnf_transformation,[],[f79_D]) ).
fof(f79_D,definition,
! [X0,X2,X5] :
( ! [X1] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1) )
<=> ~ sP13(X5,X2,X0) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f80,plain,
! [X2,X0,X6,X7,X5] :
( ~ sP13(X5,X2,X0)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X6,X2)
| ~ member(X7,X2)
| X6 = X7 ),
inference(general_splitting,[],[f62,f79_D]) ).
fof(f81,plain,
! [X0] :
( sP13(X0,sK3,sK1)
| ~ member(X0,sK2) ),
inference(resolution,[],[f60,f79]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X0,X2)
| ~ apply(sK1,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK3)
| ~ member(X2,sK3)
| X1 = X2 ),
inference(resolution,[],[f81,f80]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK3)
| ~ member(sK5(X0,X2),sK3)
| sK5(X0,X2) = X1
| ~ apply(sK4,X0,X2)
| ~ member(X0,sK2)
| ~ member(X2,sK2) ),
inference(resolution,[],[f82,f57]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK3)
| ~ member(sK5(X0,X2),sK3)
| sK5(X0,X2) = X1
| ~ apply(sK4,X0,X2)
| ~ member(X2,sK2) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f91,plain,
! [X2,X0,X1] :
( sK5(X0,X2) = X1
| ~ member(X0,sK2)
| ~ member(X1,sK3)
| ~ apply(sK1,X0,X1)
| ~ apply(sK4,X0,X2)
| ~ member(X2,sK2) ),
inference(forward_subsumption_resolution,[],[f89,f58]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ member(sK5(X0,X1),sK3)
| ~ apply(sK1,X2,sK5(X0,X1))
| apply(sK4,X2,X1)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ apply(sK4,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK2) ),
inference(resolution,[],[f59,f56]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ member(sK5(X0,X1),sK3)
| ~ apply(sK1,X2,sK5(X0,X1))
| apply(sK4,X2,X0)
| ~ member(X2,sK2)
| ~ member(X0,sK2)
| ~ apply(sK4,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK2) ),
inference(resolution,[],[f59,f57]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ apply(sK1,X2,sK6(sK1,X0,X1))
| ~ member(sK6(sK1,X0,X1),sK3)
| apply(sK4,X2,X1)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ member(X1,X3)
| ~ maps(sK1,X3,X0) ),
inference(resolution,[],[f59,f63]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ member(sK5(X0,X1),sK3)
| ~ apply(sK1,X2,sK5(X0,X1))
| apply(sK4,X2,X0)
| ~ member(X2,sK2)
| ~ member(X0,sK2)
| ~ apply(sK4,X0,X1)
| ~ member(X1,sK2) ),
inference(duplicate_literal_removal,[],[f94]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ member(sK5(X0,X1),sK3)
| ~ apply(sK1,X2,sK5(X0,X1))
| apply(sK4,X2,X1)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ apply(sK4,X0,X1)
| ~ member(X0,sK2) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X2,sK5(X0,X1))
| apply(sK4,X2,X0)
| ~ member(X2,sK2)
| ~ member(X0,sK2)
| ~ apply(sK4,X0,X1)
| ~ member(X1,sK2) ),
inference(forward_subsumption_resolution,[],[f99,f58]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X2,sK5(X0,X1))
| apply(sK4,X2,X1)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ apply(sK4,X0,X1)
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f100,f58]) ).
fof(f105,plain,
! [X2,X0,X1] :
( apply(sK1,X1,X0)
| ~ apply(sK4,X2,X1)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ member(X2,sK2)
| ~ member(X0,sK3)
| ~ apply(sK1,X2,X0)
| ~ apply(sK4,X2,X1)
| ~ member(X1,sK2) ),
inference(superposition,[],[f56,f91]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ apply(sK4,X2,X1)
| apply(sK1,X1,X0)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK3)
| ~ apply(sK1,X2,X0) ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f111,plain,
! [X0,X1] :
( apply(sK4,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK2)
| ~ apply(sK4,X1,X0)
| ~ member(X0,sK2)
| ~ apply(sK4,X1,X0)
| ~ member(X1,sK2)
| ~ member(X0,sK2) ),
inference(resolution,[],[f101,f56]) ).
fof(f116,plain,
! [X0,X1] :
( ~ apply(sK4,X1,X0)
| ~ member(X0,sK2)
| ~ member(X1,sK2)
| apply(sK4,X0,X1) ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f128,plain,
! [X0] :
( apply(sK4,sK8(sK4,X0),sK7(sK4,X0))
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2)
| ~ sP0(sK4,X0) ),
inference(resolution,[],[f116,f69]) ).
fof(f130,plain,
! [X0] :
( ~ member(sK12(X0,sK4),sK2)
| ~ member(sK11(X0,sK4),sK2)
| apply(sK4,sK12(X0,sK4),sK11(X0,sK4))
| member(sK10(X0,sK4),X0)
| equivalence(sK4,X0)
| sP0(sK4,X0) ),
inference(resolution,[],[f116,f73]) ).
fof(f131,plain,
! [X0] :
( ~ member(sK12(X0,sK4),sK2)
| ~ member(sK11(X0,sK4),sK2)
| member(sK10(X0,sK4),X0)
| equivalence(sK4,X0)
| sP0(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f130,f74]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ member(sK6(sK1,X0,X1),sK3)
| apply(sK4,X1,X1)
| ~ member(X1,sK2)
| ~ member(X1,sK2)
| ~ member(X1,X2)
| ~ maps(sK1,X2,X0)
| ~ member(X1,X3)
| ~ maps(sK1,X3,X0) ),
inference(resolution,[],[f95,f63]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ member(sK6(sK1,X0,X1),sK3)
| apply(sK4,X1,X1)
| ~ member(X1,sK2)
| ~ member(X1,X2)
| ~ maps(sK1,X2,X0)
| ~ member(X1,X3)
| ~ maps(sK1,X3,X0) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ maps(sK1,X3,sK3)
| ~ member(X0,sK2)
| ~ member(X0,X1)
| ~ maps(sK1,X1,sK3)
| ~ member(X0,X2)
| ~ maps(sK1,X2,sK3)
| ~ member(X0,X3)
| apply(sK4,X0,X0) ),
inference(resolution,[],[f142,f64]) ).
fof(f188,plain,
( ~ member(sK11(sK2,sK4),sK2)
| member(sK10(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| sP0(sK4,sK2)
| member(sK10(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| sP0(sK4,sK2) ),
inference(resolution,[],[f131,f71]) ).
fof(f189,plain,
( ~ member(sK11(sK2,sK4),sK2)
| member(sK10(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| sP0(sK4,sK2) ),
inference(duplicate_literal_removal,[],[f188]) ).
fof(f190,plain,
( member(sK10(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| sP0(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f189,f72]) ).
fof(f191,plain,
( member(sK10(sK2,sK4),sK2)
| sP0(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f190,f61]) ).
fof(f193,definition,
( spl14_1
<=> sP0(sK4,sK2) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f194,plain,
( ~ sP0(sK4,sK2)
| spl14_1 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( sP0(sK4,sK2)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f197,definition,
( spl14_2
<=> member(sK10(sK2,sK4),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f199,plain,
( member(sK10(sK2,sK4),sK2)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f191,f197,f193]) ).
fof(f240,plain,
! [X0,X1] :
( ~ apply(sK1,sK8(sK4,X0),X1)
| ~ member(sK8(sK4,X0),sK2)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(X1,sK3)
| apply(sK1,sK9(sK4,X0),X1)
| ~ sP0(sK4,X0) ),
inference(resolution,[],[f108,f68]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ member(X0,sK2)
| ~ member(X0,X1)
| ~ maps(sK1,X1,sK3)
| ~ member(X0,X2)
| ~ maps(sK1,X2,sK3)
| ~ member(X0,sK2)
| apply(sK4,X0,X0) ),
inference(resolution,[],[f157,f60]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ maps(sK1,X2,sK3)
| ~ member(X0,X1)
| ~ maps(sK1,X1,sK3)
| ~ member(X0,X2)
| ~ member(X0,sK2)
| apply(sK4,X0,X0) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f313,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ maps(sK1,X1,sK3)
| ~ member(X0,sK2)
| ~ member(X0,sK2)
| apply(sK4,X0,X0) ),
inference(resolution,[],[f312,f60]) ).
fof(f314,plain,
! [X0,X1] :
( ~ maps(sK1,X1,sK3)
| ~ member(X0,X1)
| ~ member(X0,sK2)
| apply(sK4,X0,X0) ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f316,plain,
! [X0] :
( ~ member(X0,sK2)
| ~ member(X0,sK2)
| apply(sK4,X0,X0) ),
inference(resolution,[],[f314,f60]) ).
fof(f317,plain,
! [X0] :
( apply(sK4,X0,X0)
| ~ member(X0,sK2) ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f333,plain,
! [X0] :
( ~ member(sK10(X0,sK4),sK2)
| equivalence(sK4,X0)
| member(sK12(X0,sK4),X0)
| sP0(sK4,X0) ),
inference(resolution,[],[f317,f75]) ).
fof(f334,plain,
! [X0] :
( ~ member(sK10(X0,sK4),sK2)
| equivalence(sK4,X0)
| member(sK11(X0,sK4),X0)
| sP0(sK4,X0) ),
inference(resolution,[],[f317,f76]) ).
fof(f335,plain,
! [X0] :
( apply(sK4,sK11(X0,sK4),sK12(X0,sK4))
| equivalence(sK4,X0)
| ~ member(sK10(X0,sK4),sK2)
| sP0(sK4,X0) ),
inference(resolution,[],[f317,f77]) ).
fof(f350,plain,
( equivalence(sK4,sK2)
| member(sK12(sK2,sK4),sK2)
| sP0(sK4,sK2)
| ~ spl14_2 ),
inference(resolution,[],[f333,f199]) ).
fof(f351,plain,
( member(sK12(sK2,sK4),sK2)
| sP0(sK4,sK2)
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f350,f61]) ).
fof(f353,definition,
( spl14_3
<=> member(sK12(sK2,sK4),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f355,plain,
( member(sK12(sK2,sK4),sK2)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f356,plain,
( spl14_1
| spl14_3
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f351,f197,f353,f193]) ).
fof(f357,plain,
( equivalence(sK4,sK2)
| member(sK11(sK2,sK4),sK2)
| sP0(sK4,sK2)
| ~ spl14_2 ),
inference(resolution,[],[f334,f199]) ).
fof(f392,plain,
! [X0] :
( apply(sK4,sK12(X0,sK4),sK11(X0,sK4))
| ~ member(sK10(X0,sK4),sK2)
| sP0(sK4,X0)
| ~ member(sK12(X0,sK4),sK2)
| ~ member(sK11(X0,sK4),sK2)
| equivalence(sK4,X0) ),
inference(resolution,[],[f335,f116]) ).
fof(f492,plain,
! [X0,X1] :
( ~ member(sK8(sK4,X0),sK2)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK5(sK8(sK4,X0),X1),sK3)
| apply(sK1,sK9(sK4,X0),sK5(sK8(sK4,X0),X1))
| ~ sP0(sK4,X0)
| ~ apply(sK4,sK8(sK4,X0),X1)
| ~ member(sK8(sK4,X0),sK2)
| ~ member(X1,sK2) ),
inference(resolution,[],[f240,f57]) ).
fof(f494,plain,
! [X0,X1] :
( ~ member(sK8(sK4,X0),sK2)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK5(sK8(sK4,X0),X1),sK3)
| apply(sK1,sK9(sK4,X0),sK5(sK8(sK4,X0),X1))
| ~ sP0(sK4,X0)
| ~ apply(sK4,sK8(sK4,X0),X1)
| ~ member(X1,sK2) ),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f496,plain,
! [X0,X1] :
( apply(sK1,sK9(sK4,X0),sK5(sK8(sK4,X0),X1))
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2)
| ~ sP0(sK4,X0)
| ~ apply(sK4,sK8(sK4,X0),X1)
| ~ member(X1,sK2) ),
inference(forward_subsumption_resolution,[],[f494,f58]) ).
fof(f693,plain,
! [X0] :
( ~ member(sK10(X0,sK4),sK2)
| sP0(sK4,X0)
| ~ member(sK12(X0,sK4),sK2)
| ~ member(sK11(X0,sK4),sK2)
| equivalence(sK4,X0)
| ~ apply(sK4,sK10(X0,sK4),sK10(X0,sK4))
| equivalence(sK4,X0)
| sP0(sK4,X0) ),
inference(resolution,[],[f392,f78]) ).
fof(f694,plain,
! [X0] :
( ~ member(sK10(X0,sK4),sK2)
| sP0(sK4,X0)
| ~ member(sK12(X0,sK4),sK2)
| ~ member(sK11(X0,sK4),sK2)
| equivalence(sK4,X0)
| ~ apply(sK4,sK10(X0,sK4),sK10(X0,sK4)) ),
inference(duplicate_literal_removal,[],[f693]) ).
fof(f704,plain,
! [X0] :
( ~ member(sK12(X0,sK4),sK2)
| sP0(sK4,X0)
| ~ member(sK10(X0,sK4),sK2)
| ~ member(sK11(X0,sK4),sK2)
| equivalence(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f694,f317]) ).
fof(f848,plain,
! [X0,X1] :
( ~ member(sK9(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2)
| ~ sP0(sK4,X0)
| ~ apply(sK4,sK8(sK4,X0),X1)
| ~ member(X1,sK2)
| apply(sK4,sK9(sK4,X0),X1)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(X1,sK2)
| ~ apply(sK4,sK8(sK4,X0),X1)
| ~ member(sK8(sK4,X0),sK2) ),
inference(resolution,[],[f496,f102]) ).
fof(f865,plain,
! [X0,X1] :
( ~ apply(sK4,sK8(sK4,X0),X1)
| ~ member(sK8(sK4,X0),sK2)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(X1,sK2)
| apply(sK4,sK9(sK4,X0),X1) ),
inference(duplicate_literal_removal,[],[f848]) ).
fof(f878,plain,
! [X0] :
( ~ member(sK8(sK4,X0),sK2)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK7(sK4,X0),sK2)
| apply(sK4,sK9(sK4,X0),sK7(sK4,X0))
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2)
| ~ sP0(sK4,X0) ),
inference(resolution,[],[f865,f128]) ).
fof(f884,plain,
! [X0] :
( apply(sK4,sK9(sK4,X0),sK7(sK4,X0))
| ~ sP0(sK4,X0)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2) ),
inference(duplicate_literal_removal,[],[f878]) ).
fof(f895,plain,
! [X0] :
( ~ sP0(sK4,X0)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2)
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK9(sK4,X0),sK2)
| apply(sK4,sK7(sK4,X0),sK9(sK4,X0)) ),
inference(resolution,[],[f884,f116]) ).
fof(f906,plain,
! [X0] :
( ~ sP0(sK4,X0)
| ~ member(sK9(sK4,X0),sK2)
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2)
| apply(sK4,sK7(sK4,X0),sK9(sK4,X0)) ),
inference(duplicate_literal_removal,[],[f895]) ).
fof(f910,plain,
! [X0] :
( ~ member(sK9(sK4,X0),sK2)
| ~ sP0(sK4,X0)
| ~ member(sK7(sK4,X0),sK2)
| ~ member(sK8(sK4,X0),sK2) ),
inference(forward_subsumption_resolution,[],[f906,f70]) ).
fof(f921,plain,
( ~ sP0(sK4,sK2)
| ~ member(sK7(sK4,sK2),sK2)
| ~ member(sK8(sK4,sK2),sK2)
| ~ sP0(sK4,sK2) ),
inference(resolution,[],[f910,f65]) ).
fof(f922,plain,
( ~ sP0(sK4,sK2)
| ~ member(sK7(sK4,sK2),sK2)
| ~ member(sK8(sK4,sK2),sK2) ),
inference(duplicate_literal_removal,[],[f921]) ).
fof(f923,plain,
( ~ member(sK7(sK4,sK2),sK2)
| ~ member(sK8(sK4,sK2),sK2)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f922,f195]) ).
fof(f925,definition,
( spl14_4
<=> member(sK8(sK4,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f927,plain,
( ~ member(sK8(sK4,sK2),sK2)
| spl14_4 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f929,definition,
( spl14_5
<=> member(sK7(sK4,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f931,plain,
( ~ member(sK7(sK4,sK2),sK2)
| spl14_5 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl14_4
| ~ spl14_5
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f923,f193,f929,f925]) ).
fof(f942,plain,
( ~ sP0(sK4,sK2)
| spl14_4 ),
inference(resolution,[],[f927,f66]) ).
fof(f943,plain,
( $false
| ~ spl14_1
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f942,f195]) ).
fof(f944,plain,
( ~ spl14_1
| spl14_4 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f961,plain,
( ~ sP0(sK4,sK2)
| spl14_5 ),
inference(resolution,[],[f931,f67]) ).
fof(f962,plain,
( $false
| ~ spl14_1
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f961,f195]) ).
fof(f963,plain,
( ~ spl14_1
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f964,plain,
( member(sK11(sK2,sK4),sK2)
| sP0(sK4,sK2)
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f357,f61]) ).
fof(f965,plain,
( member(sK11(sK2,sK4),sK2)
| spl14_1
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f964,f194]) ).
fof(f966,plain,
( sP0(sK4,sK2)
| ~ member(sK10(sK2,sK4),sK2)
| ~ member(sK11(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| ~ spl14_3 ),
inference(resolution,[],[f355,f704]) ).
fof(f969,plain,
( ~ member(sK10(sK2,sK4),sK2)
| ~ member(sK11(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| spl14_1
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f966,f194]) ).
fof(f970,plain,
( ~ member(sK11(sK2,sK4),sK2)
| equivalence(sK4,sK2)
| spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f969,f199]) ).
fof(f971,plain,
( equivalence(sK4,sK2)
| spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f970,f965]) ).
fof(f972,plain,
( $false
| spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f971,f61]) ).
fof(f973,plain,
( spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_contradiction_clause,[],[f972]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f200]) ).
cnf(s2,plain,
( spl14_1
| ~ spl14_2
| spl14_3 ),
inference(sat_conversion,[],[f356]) ).
cnf(s3,plain,
( ~ spl14_1
| ~ spl14_4
| ~ spl14_5 ),
inference(sat_conversion,[],[f932]) ).
cnf(s4,plain,
( ~ spl14_1
| spl14_4 ),
inference(sat_conversion,[],[f944]) ).
cnf(s5,plain,
( ~ spl14_1
| spl14_5 ),
inference(sat_conversion,[],[f963]) ).
cnf(s6,plain,
( spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(sat_conversion,[],[f973]) ).
cnf(s7,plain,
( ~ spl14_2
| spl14_1 ),
inference(rat,[],[s2,s6]) ).
cnf(s8,plain,
spl14_1,
inference(rat,[],[s7,s1]) ).
cnf(s9,plain,
spl14_5,
inference(rat,[],[s5,s8]) ).
cnf(s10,plain,
spl14_4,
inference(rat,[],[s4,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s3,s9,s10,s8]) ).
fof(f974,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET771+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 % Computer : n011.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 28 02:45:47 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.48 Running first-order theorem proving
% 0.14/0.48 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
% 2.02/1.61 % (2971339)Detected formulas, will run a generic FOF schedule.
% 2.02/1.61 % (2971347)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=660095684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.02/1.61 % (2971349)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2958718090:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.02/1.61 % (2971350)dis-21_1_sil=8000:lcm=predicate:random_seed=1219898302: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)
% 2.02/1.61 % (2971347)First to succeed.
% 2.02/1.61 % (2971350)Refutation not found, incomplete strategy
% 2.02/1.61 % (2971350)------------------------------
% 2.02/1.61 % (2971350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.61 % (2971350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.61 % (2971350)CaDiCaL version: 2.1.3
% 2.02/1.61 % (2971350)Termination reason: Refutation not found, incomplete strategy
% 2.02/1.61 % (2971350)Time elapsed: 0.007 s
% 2.02/1.61 % (2971350)Peak memory usage: 88 MB
% 2.02/1.61 % (2971350)Instructions burned: 4 (million)
% 2.02/1.61 % (2971347)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2971339"
% 2.02/1.61 % (2971345)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=2266824475:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.02/1.61 % (2971344)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=1760551334:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.02/1.61 % (2971346)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=1203225468:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.02/1.61 % (2971348)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3707893807:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.02/1.61 % (2971348)Instruction limit reached!
% 2.02/1.61 % (2971348)------------------------------
% 2.02/1.61 % (2971348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.61 % (2971348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.61 % (2971348)CaDiCaL version: 2.1.3
% 2.02/1.61 % (2971348)Termination reason: Instruction limit
% 2.02/1.61 % (2971348)Termination phase: Saturation
% 2.02/1.61 % (2971348)Time elapsed: 0.115 s
% 2.02/1.61 % (2971348)Peak memory usage: 88 MB
% 2.02/1.61 % (2971348)Instructions burned: 119 (million)
% 2.02/1.61 % (2971349)Instruction limit reached!
% 2.02/1.61 % (2971349)------------------------------
% 2.02/1.61 % (2971349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.61 % (2971349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.61 % (2971349)CaDiCaL version: 2.1.3
% 2.02/1.61 % (2971349)Termination reason: Instruction limit
% 2.02/1.61 % (2971349)Termination phase: Saturation
% 2.02/1.61 % (2971349)Time elapsed: 0.152 s
% 2.02/1.61 % (2971349)Peak memory usage: 90 MB
% 2.02/1.61 % (2971349)Instructions burned: 139 (million)
% 2.02/1.61 % (2971347)Refutation found. Thanks to Tanya!
% 2.02/1.61 % SZS status Theorem for theBenchmark
% 2.02/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 4.36/1.83 % (2971347)------------------------------
% 4.36/1.83 % (2971347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.83 % (2971347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.83 % (2971347)CaDiCaL version: 2.1.3
% 4.36/1.83 % (2971347)Termination reason: Refutation
% 4.36/1.83 % (2971347)Time elapsed: 0.026 s
% 4.36/1.83 % (2971347)Peak memory usage: 90 MB
% 4.36/1.83 % (2971347)Instructions burned: 47 (million)
% 4.36/1.83 % (2971347)------------------------------
% 4.36/1.83 % (2971347)------------------------------
% 4.36/1.83 % (2971339)Success in time 0.492 s
% 4.36/1.83 % Vampire exiting
%------------------------------------------------------------------------------