%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO481+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:52:46 AM UTC 2026
% Result : Theorem 81.44s 17.82s
% Output : Refutation 113.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 81 ( 11 unt; 7 def)
% Number of atoms : 200 ( 121 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 201 ( 82 ~; 85 |; 15 &)
% ( 13 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-4 aty)
% Number of variables : 151 ( 0 sgn 129 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,axiom,
! [X0,X1,X2,X3] :
( ! [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,i(s(fun(X0,X1),X3),s(X0,X4)))
=> s(fun(X0,X1),X2) = s(fun(X0,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aEQu_EXT) ).
fof(f91,axiom,
! [X0,X1,X2,X3] :
( s(fun(X1,X0),X2) = s(fun(X1,X0),X3)
<=> ! [X4] : s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) = s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFUNu_EQu_THM) ).
fof(f130,axiom,
! [X0,X1,X2,X3,X4,X5] : s(X0,i(s(fun(X2,X0),i(s(fun(fun(X2,X1),fun(X2,X0)),i(s(fun(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0))),o),s(fun(X1,X0),X3))),s(fun(X2,X1),X4))),s(X2,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,i(s(fun(X2,X1),X4),s(X2,X5))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aou_DEF) ).
fof(f131,axiom,
! [X0,X1] : s(X0,i(s(fun(X0,X0),i1),s(X0,X1))) = s(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aIu_DEF) ).
fof(f3642,axiom,
! [X0,X1,X2] :
( ! [X3,X4] :
( s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))
=> s(X1,X3) = s(X1,X4) )
<=> ! [X3] : s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X3))))) = s(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINJECTIVEu_INVERSE) ).
fof(f3643,conjecture,
! [X0,X1,X2] :
( ! [X3,X4] :
( s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))
=> s(X1,X3) = s(X1,X4) )
<=> s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINJECTIVEu_INVERSEu_o) ).
fof(f3644,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3,X4] :
( s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))
=> s(X1,X3) = s(X1,X4) )
<=> s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1) ),
inference(negated_conjecture,[status(cth)],[f3643]) ).
fof(f3656,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))
=> s(X1,X3) = s(X1,X4) )
<=> ! [X5] : s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) ),
inference(rectify,[],[f3642]) ).
fof(f3659,plain,
? [X0,X1,X2] :
( ! [X3,X4] :
( s(X1,X3) = s(X1,X4)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
<~> s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1) ),
inference(ennf_transformation,[],[f3644]) ).
fof(f3663,plain,
! [X0,X1,X2,X3] :
( s(fun(X0,X1),X2) = s(fun(X0,X1),X3)
| ? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) != s(X1,i(s(fun(X0,X1),X3),s(X0,X4))) ),
inference(ennf_transformation,[],[f90]) ).
fof(f3718,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( s(X1,X3) = s(X1,X4)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
<=> ! [X5] : s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) ),
inference(ennf_transformation,[],[f3656]) ).
fof(f3726,plain,
? [X0,X1,X2] :
( ( s(fun(X1,X1),i1) != s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2)))
| ? [X3,X4] :
( s(X1,X3) != s(X1,X4)
& s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) ) )
& ( s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1)
| ! [X3,X4] :
( s(X1,X3) = s(X1,X4)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) ) ) ),
inference(nnf_transformation,[],[f3659]) ).
fof(f3727,plain,
? [X0,X1,X2] :
( ( s(fun(X1,X1),i1) != s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2)))
| ? [X3,X4] :
( s(X1,X3) != s(X1,X4)
& s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) ) )
& ( s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1)
| ! [X5,X6] :
( s(X1,X5) = s(X1,X6)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X5))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X6))) ) ) ),
inference(rectify,[],[f3726]) ).
fof(f3728,plain,
( ( s(fun(sK4,sK4),i1) != s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| ( s(sK4,sK6) != s(sK4,sK7)
& s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK6))) = s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK7))) ) )
& ( s(fun(sK4,sK4),i1) = s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| ! [X5,X6] :
( s(sK4,X5) = s(sK4,X6)
| s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X5))) != s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X6))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7)],[f3727]) ).
fof(f3740,plain,
! [X0,X1,X2,X3] :
( ( s(fun(X1,X0),X2) = s(fun(X1,X0),X3)
| ? [X4] : s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) != s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) )
& ( ! [X4] : s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) = s(X0,i(s(fun(X1,X0),X3),s(X1,X4)))
| s(fun(X1,X0),X2) != s(fun(X1,X0),X3) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f3741,plain,
! [X0,X1,X2,X3] :
( ( s(fun(X1,X0),X2) = s(fun(X1,X0),X3)
| ? [X4] : s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) != s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) )
& ( ! [X5] : s(X0,i(s(fun(X1,X0),X3),s(X1,X5))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))
| s(fun(X1,X0),X2) != s(fun(X1,X0),X3) ) ),
inference(rectify,[],[f3740]) ).
fof(f3742,plain,
! [X0,X1,X2,X3] :
( ( s(fun(X1,X0),X2) = s(fun(X1,X0),X3)
| s(X0,i(s(fun(X1,X0),X2),s(X1,sK25(X0,X1,X2,X3)))) != s(X0,i(s(fun(X1,X0),X3),s(X1,sK25(X0,X1,X2,X3)))) )
& ( ! [X5] : s(X0,i(s(fun(X1,X0),X3),s(X1,X5))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))
| s(fun(X1,X0),X2) != s(fun(X1,X0),X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X4,sK25(X0,X1,X2,X3))],[f3741]) ).
fof(f3743,plain,
! [X0,X1,X2,X3] :
( s(fun(X0,X1),X2) = s(fun(X0,X1),X3)
| s(X1,i(s(fun(X0,X1),X2),s(X0,sK26(X0,X1,X2,X3)))) != s(X1,i(s(fun(X0,X1),X3),s(X0,sK26(X0,X1,X2,X3)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X4,sK26(X0,X1,X2,X3))],[f3663]) ).
fof(f3787,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( s(X1,X3) = s(X1,X4)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
| ? [X5] : s(X1,X5) != s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) )
& ( ! [X5] : s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))))
| ? [X3,X4] :
( s(X1,X3) != s(X1,X4)
& s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) ) ) ),
inference(nnf_transformation,[],[f3718]) ).
fof(f3788,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( s(X1,X3) = s(X1,X4)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
| ? [X5] : s(X1,X5) != s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) )
& ( ! [X6] : s(X1,X6) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X6)))))
| ? [X7,X8] :
( s(X1,X7) != s(X1,X8)
& s(X0,i(s(fun(X1,X0),X2),s(X1,X7))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X8))) ) ) ),
inference(rectify,[],[f3787]) ).
fof(f3789,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( s(X1,X3) = s(X1,X4)
| s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
| s(X1,sK78(X0,X1,X2)) != s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,sK78(X0,X1,X2)))))) )
& ( ! [X6] : s(X1,X6) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X6)))))
| ( s(X1,sK79(X0,X1,X2)) != s(X1,sK80(X0,X1,X2))
& s(X0,i(s(fun(X1,X0),X2),s(X1,sK79(X0,X1,X2)))) = s(X0,i(s(fun(X1,X0),X2),s(X1,sK80(X0,X1,X2)))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79,sK80]),skolemize(X5,sK78(X0,X1,X2)),skolemize(X7,sK79(X0,X1,X2)),skolemize(X8,sK80(X0,X1,X2))],[f3788]) ).
fof(f3799,plain,
! [X6,X5] :
( s(fun(sK4,sK4),i1) = s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| s(sK4,X5) = s(sK4,X6)
| s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X5))) != s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X6))) ),
inference(cnf_transformation,[],[f3728]) ).
fof(f3800,plain,
( s(fun(sK4,sK4),i1) != s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK6))) = s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK7))) ),
inference(cnf_transformation,[],[f3728]) ).
fof(f3801,plain,
( s(fun(sK4,sK4),i1) != s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| s(sK4,sK6) != s(sK4,sK7) ),
inference(cnf_transformation,[],[f3728]) ).
fof(f3820,plain,
! [X2,X3,X0,X1,X5] :
( s(fun(X1,X0),X2) != s(fun(X1,X0),X3)
| s(X0,i(s(fun(X1,X0),X3),s(X1,X5))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X5))) ),
inference(cnf_transformation,[],[f3742]) ).
fof(f3822,plain,
! [X2,X3,X0,X1] :
( s(X1,i(s(fun(X0,X1),X2),s(X0,sK26(X0,X1,X2,X3)))) != s(X1,i(s(fun(X0,X1),X3),s(X0,sK26(X0,X1,X2,X3))))
| s(fun(X0,X1),X2) = s(fun(X0,X1),X3) ),
inference(cnf_transformation,[],[f3743]) ).
fof(f3922,plain,
! [X2,X3,X0,X1,X4,X5] : s(X0,i(s(fun(X2,X0),i(s(fun(fun(X2,X1),fun(X2,X0)),i(s(fun(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0))),o),s(fun(X1,X0),X3))),s(fun(X2,X1),X4))),s(X2,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,i(s(fun(X2,X1),X4),s(X2,X5))))),
inference(cnf_transformation,[],[f130]) ).
fof(f3948,plain,
! [X0,X1] : s(X0,X1) = s(X0,i(s(fun(X0,X0),i1),s(X0,X1))),
inference(cnf_transformation,[],[f131]) ).
fof(f3949,plain,
! [X2,X0,X1,X6] :
( s(X0,i(s(fun(X1,X0),X2),s(X1,sK79(X0,X1,X2)))) = s(X0,i(s(fun(X1,X0),X2),s(X1,sK80(X0,X1,X2))))
| s(X1,X6) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X6))))) ),
inference(cnf_transformation,[],[f3789]) ).
fof(f3950,plain,
! [X2,X0,X1,X6] :
( s(X1,sK79(X0,X1,X2)) != s(X1,sK80(X0,X1,X2))
| s(X1,X6) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X6))))) ),
inference(cnf_transformation,[],[f3789]) ).
fof(f3959,definition,
( spl89_1
<=> ! [X6,X5] :
( s(sK4,X5) = s(sK4,X6)
| s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X5))) != s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X6))) ) ),
introduced(definition,[new_symbols(definition,[spl89_1])],[avatar_definition]) ).
fof(f3960,plain,
( ! [X6,X5] :
( s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X5))) != s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X6)))
| s(sK4,X5) = s(sK4,X6) )
| ~ spl89_1 ),
inference(avatar_component_clause,[],[f3959]) ).
fof(f3962,definition,
( spl89_2
<=> s(fun(sK4,sK4),i1) = s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5))) ),
introduced(definition,[new_symbols(definition,[spl89_2])],[avatar_definition]) ).
fof(f3963,plain,
( s(fun(sK4,sK4),i1) != s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| spl89_2 ),
inference(avatar_component_clause,[],[f3962]) ).
fof(f3964,plain,
( s(fun(sK4,sK4),i1) = s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)))
| ~ spl89_2 ),
inference(avatar_component_clause,[],[f3962]) ).
fof(f3965,plain,
( spl89_1
| spl89_2 ),
inference(avatar_split_clause,[],[f3799,f3962,f3959]) ).
fof(f3967,definition,
( spl89_3
<=> s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK6))) = s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK7))) ),
introduced(definition,[new_symbols(definition,[spl89_3])],[avatar_definition]) ).
fof(f3969,plain,
( s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK6))) = s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK7)))
| ~ spl89_3 ),
inference(avatar_component_clause,[],[f3967]) ).
fof(f3970,plain,
( spl89_3
| ~ spl89_2 ),
inference(avatar_split_clause,[],[f3800,f3962,f3967]) ).
fof(f3972,definition,
( spl89_4
<=> s(sK4,sK6) = s(sK4,sK7) ),
introduced(definition,[new_symbols(definition,[spl89_4])],[avatar_definition]) ).
fof(f3974,plain,
( s(sK4,sK6) != s(sK4,sK7)
| spl89_4 ),
inference(avatar_component_clause,[],[f3972]) ).
fof(f3975,plain,
( ~ spl89_4
| ~ spl89_2 ),
inference(avatar_split_clause,[],[f3801,f3962,f3972]) ).
fof(f4153,plain,
( ! [X0] : s(sK4,i(s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5))),s(sK4,X0))) = s(sK4,i(s(fun(sK4,sK4),i1),s(sK4,X0)))
| ~ spl89_2 ),
inference(unit_resulting_resolution,[],[f3820,f3964]) ).
fof(f4174,plain,
( ! [X0] : s(sK4,X0) = s(sK4,i(s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5))),s(sK4,X0)))
| ~ spl89_2 ),
inference(forward_demodulation,[],[f4153,f3948]) ).
fof(f4176,plain,
( ! [X0] : s(sK4,X0) = s(sK4,i(s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))),s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,X0)))))
| ~ spl89_2 ),
inference(forward_demodulation,[],[f4174,f3922]) ).
fof(f4212,plain,
( s(sK4,sK7) = s(sK4,i(s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))),s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK6)))))
| ~ spl89_2
| ~ spl89_3 ),
inference(superposition,[],[f4176,f3969]) ).
fof(f4216,plain,
( s(sK4,sK6) = s(sK4,sK7)
| ~ spl89_2
| ~ spl89_3 ),
inference(forward_demodulation,[],[f4212,f4176]) ).
fof(f4243,plain,
( $false
| ~ spl89_2
| ~ spl89_3
| spl89_4 ),
inference(forward_subsumption_resolution,[],[f4216,f3974]) ).
fof(f4244,plain,
( ~ spl89_2
| ~ spl89_3
| spl89_4 ),
inference(avatar_contradiction_clause,[],[f4243]) ).
fof(f4362,plain,
( s(sK4,i(s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5))),s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1)))) != s(sK4,i(s(fun(sK4,sK4),i1),s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1))))
| spl89_2 ),
inference(unit_resulting_resolution,[],[f3822,f3963]) ).
fof(f4377,plain,
( s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1)) != s(sK4,i(s(fun(sK4,sK4),i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5))),s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1))))
| spl89_2 ),
inference(forward_demodulation,[],[f4362,f3948]) ).
fof(f4379,plain,
( s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1)) != s(sK4,i(s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))),s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1))))))
| spl89_2 ),
inference(forward_demodulation,[],[f4377,f3922]) ).
fof(f4386,definition,
( spl89_8
<=> s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1)) = s(sK4,i(s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))),s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1)))))) ),
introduced(definition,[new_symbols(definition,[spl89_8])],[avatar_definition]) ).
fof(f4388,plain,
( s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1)) != s(sK4,i(s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))),s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK26(sK4,sK4,i(s(fun(fun(sK4,sK3),fun(sK4,sK4)),i(s(fun(fun(sK3,sK4),fun(fun(sK4,sK3),fun(sK4,sK4))),o),s(fun(sK3,sK4),i(s(fun(fun(sK4,sK3),fun(sK3,sK4)),inverse),s(fun(sK4,sK3),sK5))))),s(fun(sK4,sK3),sK5)),i1))))))
| spl89_8 ),
inference(avatar_component_clause,[],[f4386]) ).
fof(f4389,plain,
( ~ spl89_8
| spl89_2 ),
inference(avatar_split_clause,[],[f4379,f3962,f4386]) ).
fof(f4844,plain,
( s(sK4,sK79(sK3,sK4,sK5)) != s(sK4,sK80(sK3,sK4,sK5))
| spl89_8 ),
inference(unit_resulting_resolution,[],[f3950,f4388]) ).
fof(f4846,definition,
( spl89_13
<=> s(sK4,sK79(sK3,sK4,sK5)) = s(sK4,sK80(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl89_13])],[avatar_definition]) ).
fof(f4848,plain,
( s(sK4,sK79(sK3,sK4,sK5)) != s(sK4,sK80(sK3,sK4,sK5))
| spl89_13 ),
inference(avatar_component_clause,[],[f4846]) ).
fof(f4852,plain,
( ~ spl89_13
| spl89_8 ),
inference(avatar_split_clause,[],[f4844,f4386,f4846]) ).
fof(f4853,plain,
( s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK79(sK3,sK4,sK5)))) != s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK80(sK3,sK4,sK5))))
| ~ spl89_1
| spl89_13 ),
inference(unit_resulting_resolution,[],[f3960,f4848]) ).
fof(f4868,definition,
( spl89_14
<=> s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK79(sK3,sK4,sK5)))) = s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK80(sK3,sK4,sK5)))) ),
introduced(definition,[new_symbols(definition,[spl89_14])],[avatar_definition]) ).
fof(f4870,plain,
( s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK79(sK3,sK4,sK5)))) != s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK80(sK3,sK4,sK5))))
| spl89_14 ),
inference(avatar_component_clause,[],[f4868]) ).
fof(f4871,plain,
( ~ spl89_14
| ~ spl89_1
| spl89_13 ),
inference(avatar_split_clause,[],[f4853,f4846,f3959,f4868]) ).
fof(f5364,plain,
( s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK79(sK3,sK4,sK5)))) = s(sK3,i(s(fun(sK4,sK3),sK5),s(sK4,sK80(sK3,sK4,sK5))))
| spl89_8 ),
inference(unit_resulting_resolution,[],[f3949,f4388]) ).
fof(f5458,plain,
( $false
| spl89_8
| spl89_14 ),
inference(forward_subsumption_resolution,[],[f5364,f4870]) ).
fof(f5459,plain,
( spl89_8
| spl89_14 ),
inference(avatar_contradiction_clause,[],[f5458]) ).
cnf(s1,plain,
( spl89_1
| spl89_2 ),
inference(sat_conversion,[],[f3965]) ).
cnf(s2,plain,
( ~ spl89_2
| spl89_3 ),
inference(sat_conversion,[],[f3970]) ).
cnf(s3,plain,
( ~ spl89_2
| ~ spl89_4 ),
inference(sat_conversion,[],[f3975]) ).
cnf(s4,plain,
( ~ spl89_2
| ~ spl89_3
| spl89_4 ),
inference(sat_conversion,[],[f4244]) ).
cnf(s14,plain,
( spl89_2
| ~ spl89_8 ),
inference(sat_conversion,[],[f4389]) ).
cnf(s26,plain,
( spl89_8
| ~ spl89_13 ),
inference(sat_conversion,[],[f4852]) ).
cnf(s27,plain,
( ~ spl89_1
| spl89_13
| ~ spl89_14 ),
inference(sat_conversion,[],[f4871]) ).
cnf(s41,plain,
( spl89_8
| spl89_14 ),
inference(sat_conversion,[],[f5459]) ).
cnf(s43,plain,
~ spl89_2,
inference(rat,[],[s4,s2,s3]) ).
cnf(s44,plain,
~ spl89_8,
inference(rat,[],[s14,s43]) ).
cnf(s48,plain,
spl89_1,
inference(rat,[],[s1,s43]) ).
cnf(s49,plain,
spl89_14,
inference(rat,[],[s41,s44]) ).
cnf(s50,plain,
~ spl89_13,
inference(rat,[],[s26,s44]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s27,s49,s48,s50]) ).
fof(f5490,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO481+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 % Computer : n005.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 08:17:33 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 12.61/3.75 % (3673761)Detected formulas, will run a generic FOF schedule.
% 12.61/3.75 % (3673766)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=30085944:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.61/3.75 % (3673770)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1062038760:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.61/3.75 % (3673768)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=478826484:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.61/3.75 % (3673771)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1848195191:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.61/3.75 % (3673769)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3671591145:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.61/3.75 % (3673767)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=299319440:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.61/3.75 % (3673772)dis-21_1_sil=8000:lcm=predicate:random_seed=4149628281:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 12.61/3.75 % (3673771)Instruction limit reached!
% 12.61/3.75 % (3673771)------------------------------
% 12.61/3.75 % (3673771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.75 % (3673771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.75 % (3673771)CaDiCaL version: 2.1.3
% 12.61/3.75 % (3673771)Termination reason: Instruction limit
% 12.61/3.75 % (3673771)Termination phase: Property scanning
% 12.61/3.75 % (3673771)Time elapsed: 0.049 s
% 12.61/3.75 % (3673771)Peak memory usage: 90 MB
% 12.61/3.75 % (3673771)Instructions burned: 139 (million)
% 12.61/3.75 % (3673769)Instruction limit reached!
% 12.61/3.75 % (3673769)------------------------------
% 12.61/3.75 % (3673769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.75 % (3673769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.75 % (3673769)CaDiCaL version: 2.1.3
% 12.61/3.75 % (3673769)Termination reason: Instruction limit
% 12.61/3.75 % (3673769)Termination phase: Property scanning
% 12.61/3.75 % (3673769)Time elapsed: 0.056 s
% 12.61/3.75 % (3673769)Peak memory usage: 92 MB
% 12.61/3.75 % (3673769)Instructions burned: 111 (million)
% 12.61/3.75 % (3673772)Instruction limit reached!
% 12.61/3.75 % (3673772)------------------------------
% 12.61/3.75 % (3673772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.75 % (3673772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.75 % (3673772)CaDiCaL version: 2.1.3
% 12.61/3.75 % (3673772)Termination reason: Instruction limit
% 12.61/3.75 % (3673772)Termination phase: SInE selection
% 12.61/3.75 % (3673772)Time elapsed: 0.059 s
% 12.61/3.75 % (3673772)Peak memory usage: 90 MB
% 12.61/3.75 % (3673772)Instructions burned: 130 (million)
% 12.61/3.75 % (3673770)Instruction limit reached!
% 12.61/3.75 % (3673770)------------------------------
% 12.61/3.75 % (3673770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.75 % (3673770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.75 % (3673770)CaDiCaL version: 2.1.3
% 12.61/3.75 % (3673770)Termination reason: Instruction limit
% 12.61/3.75 % (3673770)Termination phase: Preprocessing 1
% 12.61/3.75 % (3673770)Time elapsed: 0.063 s
% 12.61/3.75 % (3673770)Peak memory usage: 91 MB
% 12.61/3.75 % (3673770)Instructions burned: 120 (million)
% 12.61/3.75 % (3673781)lrs+10_1_sil=32000:urr=on:br=off:random_seed=617302777:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.61/3.75 % (3673780)lrs+10_1_sil=8000:sp=occurrence:random_seed=555373833:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.61/3.75 % (3673783)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4021821508:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 12.61/3.75 % (3673782)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1355587783:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.61/3.75 % (3673781)Instruction limit reached!
% 18.95/4.68 % (3673781)------------------------------
% 18.95/4.68 % (3673781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673781)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673781)Termination reason: Instruction limit
% 18.95/4.68 % (3673781)Termination phase: Property scanning
% 18.95/4.68 % (3673781)Time elapsed: 0.056 s
% 18.95/4.68 % (3673781)Peak memory usage: 90 MB
% 18.95/4.68 % (3673781)Instructions burned: 158 (million)
% 18.95/4.68 % (3673783)Instruction limit reached!
% 18.95/4.68 % (3673783)------------------------------
% 18.95/4.68 % (3673783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673783)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673783)Termination reason: Instruction limit
% 18.95/4.68 % (3673783)Termination phase: Property scanning
% 18.95/4.68 % (3673783)Time elapsed: 0.087 s
% 18.95/4.68 % (3673783)Peak memory usage: 90 MB
% 18.95/4.68 % (3673783)Instructions burned: 249 (million)
% 18.95/4.68 % (3673780)Instruction limit reached!
% 18.95/4.68 % (3673780)------------------------------
% 18.95/4.68 % (3673780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673780)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673780)Termination reason: Instruction limit
% 18.95/4.68 % (3673780)Termination phase: Preprocessing 3
% 18.95/4.68 % (3673780)Time elapsed: 0.146 s
% 18.95/4.68 % (3673780)Peak memory usage: 97 MB
% 18.95/4.68 % (3673780)Instructions burned: 286 (million)
% 18.95/4.68 % (3673782)Instruction limit reached!
% 18.95/4.68 % (3673782)------------------------------
% 18.95/4.68 % (3673782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673782)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673782)Termination reason: Instruction limit
% 18.95/4.68 % (3673782)Termination phase: Saturation
% 18.95/4.68 % (3673782)Time elapsed: 0.178 s
% 18.95/4.68 % (3673782)Peak memory usage: 96 MB
% 18.95/4.68 % (3673782)Instructions burned: 325 (million)
% 18.95/4.68 % (3673788)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3035141454:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 18.95/4.68 % (3673789)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3375787161:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 18.95/4.68 % (3673790)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3938284113:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 18.95/4.68 % (3673788)Instruction limit reached!
% 18.95/4.68 % (3673788)------------------------------
% 18.95/4.68 % (3673788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673788)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673788)Termination reason: Instruction limit
% 18.95/4.68 % (3673788)Termination phase: Preprocessing 3
% 18.95/4.68 % (3673788)Time elapsed: 0.148 s
% 18.95/4.68 % (3673788)Peak memory usage: 96 MB
% 18.95/4.68 % (3673788)Instructions burned: 295 (million)
% 18.95/4.68 % (3673792)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1237631588:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 18.95/4.68 % (3673790)Instruction limit reached!
% 18.95/4.68 % (3673790)------------------------------
% 18.95/4.68 % (3673790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673790)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673790)Termination reason: Instruction limit
% 18.95/4.68 % (3673790)Termination phase: Preprocessing 1
% 18.95/4.68 % (3673790)Time elapsed: 0.062 s
% 18.95/4.68 % (3673790)Peak memory usage: 91 MB
% 18.95/4.68 % (3673790)Instructions burned: 113 (million)
% 18.95/4.68 % (3673792)Instruction limit reached!
% 18.95/4.68 % (3673792)------------------------------
% 18.95/4.68 % (3673792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.95/4.68 % (3673792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/4.68 % (3673792)CaDiCaL version: 2.1.3
% 18.95/4.68 % (3673792)Termination reason: Instruction limit
% 46.61/8.41 % (3673792)Termination phase: Naming
% 46.61/8.41 % (3673792)Time elapsed: 0.072 s
% 46.61/8.41 % (3673792)Peak memory usage: 94 MB
% 46.61/8.41 % (3673792)Instructions burned: 128 (million)
% 46.61/8.41 % (3673796)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3209790779:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 46.61/8.41 % (3673797)lrs+10_1_sil=8000:sp=occurrence:random_seed=2925656787:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 46.61/8.41 % (3673796)Instruction limit reached!
% 46.61/8.41 % (3673796)------------------------------
% 46.61/8.41 % (3673796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.61/8.41 % (3673796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.61/8.41 % (3673796)CaDiCaL version: 2.1.3
% 46.61/8.41 % (3673796)Termination reason: Instruction limit
% 46.61/8.41 % (3673796)Termination phase: Property scanning
% 46.61/8.41 % (3673796)Time elapsed: 0.041 s
% 46.61/8.41 % (3673796)Peak memory usage: 91 MB
% 46.61/8.41 % (3673796)Instructions burned: 114 (million)
% 46.61/8.41 % (3673798)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3413698631:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 46.61/8.41 % (3673801)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2149352975:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 46.61/8.41 % (3673798)Instruction limit reached!
% 46.61/8.41 % (3673798)------------------------------
% 46.61/8.41 % (3673798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.61/8.41 % (3673798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.61/8.41 % (3673798)CaDiCaL version: 2.1.3
% 46.61/8.41 % (3673798)Termination reason: Instruction limit
% 46.61/8.41 % (3673798)Termination phase: Saturation
% 46.61/8.41 % (3673798)Time elapsed: 0.225 s
% 46.61/8.41 % (3673798)Peak memory usage: 97 MB
% 46.61/8.41 % (3673798)Instructions burned: 437 (million)
% 46.61/8.41 % (3673797)Instruction limit reached!
% 46.61/8.41 % (3673797)------------------------------
% 46.61/8.41 % (3673797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.61/8.41 % (3673797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.61/8.41 % (3673797)CaDiCaL version: 2.1.3
% 46.61/8.41 % (3673797)Termination reason: Instruction limit
% 46.61/8.41 % (3673797)Termination phase: Property scanning
% 46.61/8.41 % (3673797)Time elapsed: 0.382 s
% 46.61/8.41 % (3673797)Peak memory usage: 101 MB
% 46.61/8.41 % (3673797)Instructions burned: 907 (million)
% 46.61/8.41 % (3673804)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1350700367:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 46.61/8.41 % (3673804)Instruction limit reached!
% 46.61/8.41 % (3673804)------------------------------
% 46.61/8.41 % (3673804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.61/8.41 % (3673804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.61/8.41 % (3673804)CaDiCaL version: 2.1.3
% 46.61/8.41 % (3673804)Termination reason: Instruction limit
% 46.61/8.41 % (3673804)Termination phase: NewCNF
% 46.61/8.41 % (3673804)Time elapsed: 0.075 s
% 46.61/8.41 % (3673804)Peak memory usage: 93 MB
% 46.61/8.41 % (3673804)Instructions burned: 136 (million)
% 46.61/8.41 % (3673805)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1255873801:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 46.61/8.41 % (3673789)Instruction limit reached!
% 46.61/8.41 % (3673789)------------------------------
% 46.61/8.41 % (3673789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.61/8.41 % (3673789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.61/8.41 % (3673789)CaDiCaL version: 2.1.3
% 46.61/8.41 % (3673789)Termination reason: Instruction limit
% 46.61/8.41 % (3673789)Termination phase: Twee Goal Transformation
% 46.61/8.41 % (3673789)Time elapsed: 0.892 s
% 46.61/8.41 % (3673789)Peak memory usage: 107 MB
% 46.61/8.41 % (3673789)Instructions burned: 2352 (million)
% 46.61/8.41 % (3673807)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1241373822:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 46.61/8.41 % (3673809)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3213097495:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 75.00/12.49 % (3673809)Instruction limit reached!
% 75.00/12.49 % (3673809)------------------------------
% 75.00/12.49 % (3673809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.00/12.49 % (3673809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.00/12.49 % (3673809)CaDiCaL version: 2.1.3
% 75.00/12.49 % (3673809)Termination reason: Instruction limit
% 75.00/12.49 % (3673809)Termination phase: Property scanning
% 75.00/12.49 % (3673809)Time elapsed: 0.045 s
% 75.00/12.49 % (3673809)Peak memory usage: 91 MB
% 75.00/12.49 % (3673809)Instructions burned: 125 (million)
% 75.00/12.49 % (3673805)Instruction limit reached!
% 75.00/12.49 % (3673805)------------------------------
% 75.00/12.49 % (3673805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.00/12.49 % (3673805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.00/12.49 % (3673805)CaDiCaL version: 2.1.3
% 75.00/12.49 % (3673805)Termination reason: Instruction limit
% 75.00/12.49 % (3673805)Termination phase: Preprocessing 3
% 75.00/12.49 % (3673805)Time elapsed: 0.301 s
% 75.00/12.49 % (3673805)Peak memory usage: 102 MB
% 75.00/12.49 % (3673805)Instructions burned: 594 (million)
% 75.00/12.49 % (3673812)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3623372293:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 75.00/12.49 % (3673813)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1438583814:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 75.00/12.49 % (3673812)Instruction limit reached!
% 75.00/12.49 % (3673812)------------------------------
% 75.00/12.49 % (3673812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.00/12.49 % (3673812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.00/12.49 % (3673812)CaDiCaL version: 2.1.3
% 75.00/12.49 % (3673812)Termination reason: Instruction limit
% 75.00/12.49 % (3673812)Termination phase: Property scanning
% 75.00/12.49 % (3673812)Time elapsed: 0.048 s
% 75.00/12.49 % (3673812)Peak memory usage: 91 MB
% 75.00/12.49 % (3673812)Instructions burned: 134 (million)
% 75.00/12.49 % (3673813)Instruction limit reached!
% 75.00/12.49 % (3673813)------------------------------
% 75.00/12.49 % (3673813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.00/12.49 % (3673813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.00/12.49 % (3673813)CaDiCaL version: 2.1.3
% 75.00/12.49 % (3673813)Termination reason: Instruction limit
% 75.00/12.49 % (3673813)Termination phase: Saturation
% 75.00/12.49 % (3673813)Time elapsed: 0.069 s
% 75.00/12.49 % (3673813)Peak memory usage: 93 MB
% 75.00/12.49 % (3673813)Instructions burned: 142 (million)
% 75.00/12.49 % (3673816)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1671651030:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 75.00/12.49 % (3673817)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3930096731:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 75.00/12.49 % (3673816)Instruction limit reached!
% 75.00/12.49 % (3673816)------------------------------
% 75.00/12.49 % (3673816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.00/12.49 % (3673816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.00/12.49 % (3673816)CaDiCaL version: 2.1.3
% 75.00/12.49 % (3673816)Termination reason: Instruction limit
% 75.00/12.49 % (3673816)Termination phase: Saturation
% 75.00/12.49 % (3673816)Time elapsed: 0.228 s
% 75.00/12.49 % (3673816)Peak memory usage: 96 MB
% 75.00/12.49 % (3673816)Instructions burned: 433 (million)
% 75.00/12.49 % (3673820)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4020540604:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 75.00/12.49 % (3673820)Instruction limit reached!
% 75.00/12.49 % (3673820)------------------------------
% 75.00/12.49 % (3673820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.00/12.49 % (3673820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.00/12.49 % (3673820)CaDiCaL version: 2.1.3
% 75.00/12.49 % (3673820)Termination reason: Instruction limit
% 109.69/17.36 % (3673820)Termination phase: Preprocessing 1
% 109.69/17.36 % (3673820)Time elapsed: 0.084 s
% 109.69/17.36 % (3673820)Peak memory usage: 92 MB
% 109.69/17.36 % (3673820)Instructions burned: 152 (million)
% 109.69/17.36 % (3673822)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2920518979:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 109.69/17.36 % (3673801)Instruction limit reached!
% 109.69/17.36 % (3673801)------------------------------
% 109.69/17.36 % (3673801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.69/17.36 % (3673801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.69/17.36 % (3673801)CaDiCaL version: 2.1.3
% 109.69/17.36 % (3673801)Termination reason: Instruction limit
% 109.69/17.36 % (3673801)Termination phase: Saturation
% 109.69/17.36 % (3673801)Time elapsed: 2.915 s
% 109.69/17.36 % (3673801)Peak memory usage: 255 MB
% 109.69/17.36 % (3673801)Instructions burned: 5202 (million)
% 109.69/17.36 % (3673824)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3204538574:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 109.69/17.36 % (3673824)Instruction limit reached!
% 109.69/17.36 % (3673824)------------------------------
% 109.69/17.36 % (3673824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.69/17.36 % (3673824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.69/17.36 % (3673824)CaDiCaL version: 2.1.3
% 109.69/17.36 % (3673824)Termination reason: Instruction limit
% 109.69/17.36 % (3673824)Termination phase: Property scanning
% 109.69/17.36 % (3673824)Time elapsed: 0.331 s
% 109.69/17.36 % (3673824)Peak memory usage: 104 MB
% 109.69/17.36 % (3673824)Instructions burned: 669 (million)
% 109.69/17.36 % (3673826)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1020817073:s2a=on:i=185:s2at=1.8:fdi=4_2943 on theBenchmark for (2943ds/185Mi)
% 109.69/17.36 % (3673826)Instruction limit reached!
% 109.69/17.36 % (3673826)------------------------------
% 109.69/17.36 % (3673826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.69/17.36 % (3673826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.69/17.36 % (3673826)CaDiCaL version: 2.1.3
% 109.69/17.36 % (3673826)Termination reason: Instruction limit
% 109.69/17.36 % (3673826)Termination phase: Preprocessing 1
% 109.69/17.36 % (3673826)Time elapsed: 0.097 s
% 109.69/17.36 % (3673826)Peak memory usage: 91 MB
% 109.69/17.36 % (3673826)Instructions burned: 186 (million)
% 109.69/17.36 % (3673828)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1089053652:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2940 on theBenchmark for (2940ds/193Mi)
% 109.69/17.36 % (3673828)Instruction limit reached!
% 109.69/17.36 % (3673828)------------------------------
% 109.69/17.36 % (3673828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.69/17.36 % (3673828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.69/17.36 % (3673828)CaDiCaL version: 2.1.3
% 109.69/17.36 % (3673828)Termination reason: Instruction limit
% 109.69/17.36 % (3673828)Termination phase: SInE selection
% 109.69/17.36 % (3673828)Time elapsed: 0.101 s
% 109.69/17.36 % (3673828)Peak memory usage: 90 MB
% 109.69/17.36 % (3673828)Instructions burned: 195 (million)
% 109.69/17.36 % (3673830)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2897790524:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2937 on theBenchmark for (2937ds/4850Mi)
% 109.69/17.36 % (3673817)Instruction limit reached!
% 109.69/17.36 % (3673817)------------------------------
% 109.69/17.36 % (3673817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.69/17.36 % (3673817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.69/17.36 % (3673817)CaDiCaL version: 2.1.3
% 109.69/17.36 % (3673817)Termination reason: Instruction limit
% 109.69/17.36 % (3673817)Termination phase: Saturation
% 109.69/17.36 % (3673817)Time elapsed: 3.572 s
% 109.69/17.36 % (3673817)Peak memory usage: 395 MB
% 109.69/17.36 % (3673817)Instructions burned: 6061 (million)
% 109.69/17.36 % (3673832)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3538708191:i=12111:sd=1:ss=included_2930 on theBenchmark for (2930ds/12111Mi)
% 109.69/17.36 % (3673830)Refutation not found, incomplete strategy
% 109.69/17.36 % (3673830)------------------------------
% 109.69/17.36 % (3673830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673830)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673830)Termination reason: Refutation not found, incomplete strategy
% 81.44/17.82 % (3673830)Time elapsed: 1.109 s
% 81.44/17.82 % (3673830)Peak memory usage: 128 MB
% 81.44/17.82 % (3673830)Instructions burned: 2587 (million)
% 81.44/17.82 % (3673830)------------------------------
% 81.44/17.82 % (3673830)------------------------------
% 81.44/17.82 % (3673834)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4033874000:i=319:kws=precedence:fsr=off_2922 on theBenchmark for (2922ds/319Mi)
% 81.44/17.82 % (3673834)Instruction limit reached!
% 81.44/17.82 % (3673834)------------------------------
% 81.44/17.82 % (3673834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673834)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673834)Termination reason: Instruction limit
% 81.44/17.82 % (3673834)Termination phase: Preprocessing 3
% 81.44/17.82 % (3673834)Time elapsed: 0.166 s
% 81.44/17.82 % (3673834)Peak memory usage: 100 MB
% 81.44/17.82 % (3673834)Instructions burned: 320 (million)
% 81.44/17.82 % (3673836)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=780096213:i=2064:ep=RST_2918 on theBenchmark for (2918ds/2064Mi)
% 81.44/17.82 % (3673836)Instruction limit reached!
% 81.44/17.82 % (3673836)------------------------------
% 81.44/17.82 % (3673836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673836)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673836)Termination reason: Instruction limit
% 81.44/17.82 % (3673836)Termination phase: Property scanning
% 81.44/17.82 % (3673836)Time elapsed: 0.772 s
% 81.44/17.82 % (3673836)Peak memory usage: 108 MB
% 81.44/17.82 % (3673836)Instructions burned: 2067 (million)
% 81.44/17.82 % (3673838)dis-1011_128_sil=32000:random_seed=301955469:i=3706:ep=RST:av=off_2909 on theBenchmark for (2909ds/3706Mi)
% 81.44/17.82 % (3673807)Instruction limit reached!
% 81.44/17.82 % (3673807)------------------------------
% 81.44/17.82 % (3673807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673807)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673807)Termination reason: Instruction limit
% 81.44/17.82 % (3673807)Termination phase: Saturation
% 81.44/17.82 % (3673807)Time elapsed: 7.297 s
% 81.44/17.82 % (3673807)Peak memory usage: 348 MB
% 81.44/17.82 % (3673807)Instructions burned: 13193 (million)
% 81.44/17.82 % (3673840)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3303818048:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2899 on theBenchmark for (2899ds/757Mi)
% 81.44/17.82 % (3673840)Instruction limit reached!
% 81.44/17.82 % (3673840)------------------------------
% 81.44/17.82 % (3673840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673840)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673840)Termination reason: Instruction limit
% 81.44/17.82 % (3673840)Termination phase: Saturation
% 81.44/17.82 % (3673840)Time elapsed: 0.321 s
% 81.44/17.82 % (3673840)Peak memory usage: 99 MB
% 81.44/17.82 % (3673840)Instructions burned: 759 (million)
% 81.44/17.82 % (3673842)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1269706814:i=13913:ss=axioms:sgt=8_2894 on theBenchmark for (2894ds/13913Mi)
% 81.44/17.82 % (3673838)Instruction limit reached!
% 81.44/17.82 % (3673838)------------------------------
% 81.44/17.82 % (3673838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673838)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673838)Termination reason: Instruction limit
% 81.44/17.82 % (3673838)Termination phase: Saturation
% 81.44/17.82 % (3673838)Time elapsed: 1.513 s
% 81.44/17.82 % (3673838)Peak memory usage: 114 MB
% 81.44/17.82 % (3673838)Instructions burned: 3707 (million)
% 81.44/17.82 % (3673844)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=4169227864:i=9925:aac=none_2892 on theBenchmark for (2892ds/9925Mi)
% 81.44/17.82 % (3673822)Instruction limit reached!
% 81.44/17.82 % (3673822)------------------------------
% 81.44/17.82 % (3673822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673822)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673822)Termination reason: Instruction limit
% 81.44/17.82 % (3673822)Termination phase: Saturation
% 81.44/17.82 % (3673822)Time elapsed: 7.649 s
% 81.44/17.82 % (3673822)Peak memory usage: 445 MB
% 81.44/17.82 % (3673822)Instructions burned: 14156 (million)
% 81.44/17.82 % (3673846)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3942919641:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2883 on theBenchmark for (2883ds/2479Mi)
% 81.44/17.82 % (3673846)Instruction limit reached!
% 81.44/17.82 % (3673846)------------------------------
% 81.44/17.82 % (3673846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673846)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673846)Termination reason: Instruction limit
% 81.44/17.82 % (3673846)Termination phase: Saturation
% 81.44/17.82 % (3673846)Time elapsed: 1.250 s
% 81.44/17.82 % (3673846)Peak memory usage: 108 MB
% 81.44/17.82 % (3673846)Instructions burned: 2479 (million)
% 81.44/17.82 % (3673848)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1575466961:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2869 on theBenchmark for (2869ds/440Mi)
% 81.44/17.82 % (3673848)Instruction limit reached!
% 81.44/17.82 % (3673848)------------------------------
% 81.44/17.82 % (3673848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673848)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673848)Termination reason: Instruction limit
% 81.44/17.82 % (3673848)Termination phase: Property scanning
% 81.44/17.82 % (3673848)Time elapsed: 0.154 s
% 81.44/17.82 % (3673848)Peak memory usage: 91 MB
% 81.44/17.82 % (3673848)Instructions burned: 441 (million)
% 81.44/17.82 % (3673850)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=245481001:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2866 on theBenchmark for (2866ds/11145Mi)
% 81.44/17.82 % (3673832)Instruction limit reached!
% 81.44/17.82 % (3673832)------------------------------
% 81.44/17.82 % (3673832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673832)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673832)Termination reason: Instruction limit
% 81.44/17.82 % (3673832)Termination phase: Saturation
% 81.44/17.82 % (3673832)Time elapsed: 6.868 s
% 81.44/17.82 % (3673832)Peak memory usage: 212 MB
% 81.44/17.82 % (3673832)Instructions burned: 12112 (million)
% 81.44/17.82 % (3673852)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2778859233:cts=off:i=3034:av=off:er=known:fsd=on_2860 on theBenchmark for (2860ds/3034Mi)
% 81.44/17.82 % (3673852)Instruction limit reached!
% 81.44/17.82 % (3673852)------------------------------
% 81.44/17.82 % (3673852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673852)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673852)Termination reason: Instruction limit
% 81.44/17.82 % (3673852)Termination phase: Saturation
% 81.44/17.82 % (3673852)Time elapsed: 1.691 s
% 81.44/17.82 % (3673852)Peak memory usage: 258 MB
% 81.44/17.82 % (3673852)Instructions burned: 3035 (million)
% 81.44/17.82 % (3673854)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4051053910:st=2:s2a=on:i=524:s2at=2:ss=axioms_2841 on theBenchmark for (2841ds/524Mi)
% 81.44/17.82 % (3673854)Instruction limit reached!
% 81.44/17.82 % (3673854)------------------------------
% 81.44/17.82 % (3673854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673854)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673854)Termination reason: Instruction limit
% 81.44/17.82 % (3673854)Termination phase: Preprocessing 3
% 81.44/17.82 % (3673854)Time elapsed: 0.259 s
% 81.44/17.82 % (3673854)Peak memory usage: 95 MB
% 81.44/17.82 % (3673854)Instructions burned: 526 (million)
% 81.44/17.82 % (3673856)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3497210009:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2836 on theBenchmark for (2836ds/1016Mi)
% 81.44/17.82 % (3673856)First to succeed.
% 81.44/17.82 % (3673856)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3673761"
% 81.44/17.82 % (3673844)Instruction limit reached!
% 81.44/17.82 % (3673844)------------------------------
% 81.44/17.82 % (3673844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.44/17.82 % (3673844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.44/17.82 % (3673844)CaDiCaL version: 2.1.3
% 81.44/17.82 % (3673844)Termination reason: Instruction limit
% 81.44/17.82 % (3673844)Termination phase: Saturation
% 81.44/17.82 % (3673844)Time elapsed: 5.872 s
% 81.44/17.82 % (3673844)Peak memory usage: 409 MB
% 81.44/17.82 % (3673844)Instructions burned: 9926 (million)
% 81.44/17.82 % (3673856)Refutation found. Thanks to Tanya!
% 81.44/17.82 % SZS status Theorem for theBenchmark
% 81.44/17.82 % SZS output start Proof for theBenchmark
% See solution above
% 113.47/18.01 % (3673856)------------------------------
% 113.47/18.01 % (3673856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.47/18.01 % (3673856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.47/18.01 % (3673856)CaDiCaL version: 2.1.3
% 113.47/18.01 % (3673856)Termination reason: Refutation
% 113.47/18.01 % (3673856)Time elapsed: 0.158 s
% 113.47/18.01 % (3673856)Peak memory usage: 98 MB
% 113.47/18.01 % (3673856)Instructions burned: 294 (million)
% 113.47/18.01 % (3673856)------------------------------
% 113.47/18.01 % (3673856)------------------------------
% 113.47/18.01 % (3673761)Success in time 16.928 s
% 113.47/18.01 % Vampire exiting
%------------------------------------------------------------------------------