%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO483+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 20.53s 6.32s
% Output : Refutation 32.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 13 unt; 2 def)
% Number of atoms : 217 ( 155 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 233 ( 81 ~; 84 |; 48 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-4 aty)
% Number of variables : 207 ( 0 sgn 174 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3638,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
<=> ( ! [X3] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1))))
=> s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X3) )
& ! [X4] :
( ? [X3] : s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X4)
& ! [X3,X5] :
( ( s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X4)
& s(X0,i(s(fun(X0,X0),X2),s(X0,X5))) = s(X0,X4) )
=> s(X0,X3) = s(X0,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apermutes) ).
fof(f3641,axiom,
! [X0,X1,X2] :
( ! [X3] :
? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,X3)
<=> 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) = s(fun(X1,X1),i1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSURJECTIVEu_INVERSEu_o) ).
fof(f3643,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) )
<=> 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/sandbox/benchmark/theBenchmark.p',aINJECTIVEu_INVERSEu_o) ).
fof(f3654,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
=> ! [X3,X4] :
( s(X0,i(s(fun(X0,X0),X1),s(X0,X3))) = s(X0,i(s(fun(X0,X0),X1),s(X0,X4)))
<=> s(X0,X3) = s(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aPERMUTESu_INJECTIVE) ).
fof(f3655,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
=> ! [X3] :
? [X4] : s(X0,i(s(fun(X0,X0),X1),s(X0,X4))) = s(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aPERMUTESu_SURJECTIVE) ).
fof(f3656,conjecture,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
=> ( s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),X1))),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) = s(fun(X0,X0),i1)
& s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))),s(fun(X0,X0),X1))) = s(fun(X0,X0),i1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aPERMUTESu_INVERSESu_o) ).
fof(f3657,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
=> ( s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),X1))),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))) = s(fun(X0,X0),i1)
& s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))),s(fun(X0,X0),X1))) = s(fun(X0,X0),i1) ) ),
inference(negated_conjecture,[status(cth)],[f3656]) ).
fof(f3658,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
<=> ( ! [X3] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1))))
=> s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X3) )
& ! [X4] :
( ? [X5] : s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
& ! [X6,X7] :
( ( s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) )
=> s(X0,X6) = s(X0,X7) ) ) ) ),
inference(rectify,[],[f3638]) ).
fof(f3974,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
<=> ( ! [X3] :
( s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X3)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
& ! [X4] :
( ? [X5] : s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
& ! [X6,X7] :
( s(X0,X6) = s(X0,X7)
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) ) ),
inference(ennf_transformation,[],[f3658]) ).
fof(f3975,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
<=> ( ! [X3] :
( s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X3)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
& ! [X4] :
( ? [X5] : s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
& ! [X6,X7] :
( s(X0,X6) = s(X0,X7)
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) ) ),
inference(flattening,[],[f3974]) ).
fof(f3978,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,[],[f3643]) ).
fof(f3983,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( s(X0,i(s(fun(X0,X0),X1),s(X0,X3))) = s(X0,i(s(fun(X0,X0),X1),s(X0,X4)))
<=> s(X0,X3) = s(X0,X4) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2)))) ),
inference(ennf_transformation,[],[f3654]) ).
fof(f3984,plain,
! [X0,X1,X2] :
( ! [X3] :
? [X4] : s(X0,i(s(fun(X0,X0),X1),s(X0,X4))) = s(X0,X3)
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2)))) ),
inference(ennf_transformation,[],[f3655]) ).
fof(f3985,plain,
? [X0,X1,X2] :
( ( s(fun(X0,X0),i1) != s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),X1))),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1)))))
| s(fun(X0,X0),i1) != s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),X1))))),s(fun(X0,X0),X1))) )
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2)))) ),
inference(ennf_transformation,[],[f3657]) ).
fof(f4986,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
| ? [X3] :
( s(X0,X3) != s(X0,i(s(fun(X0,X0),X2),s(X0,X3)))
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
| ? [X4] :
( ! [X5] : s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
| ? [X6,X7] :
( s(X0,X6) != s(X0,X7)
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) )
& ( ( ! [X3] :
( s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X3)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
& ! [X4] :
( ? [X5] : s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
& ! [X6,X7] :
( s(X0,X6) = s(X0,X7)
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1)))) ) ),
inference(nnf_transformation,[],[f3975]) ).
fof(f4987,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
| ? [X3] :
( s(X0,X3) != s(X0,i(s(fun(X0,X0),X2),s(X0,X3)))
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
| ? [X4] :
( ! [X5] : s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
| ? [X6,X7] :
( s(X0,X6) != s(X0,X7)
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) )
& ( ( ! [X3] :
( s(X0,i(s(fun(X0,X0),X2),s(X0,X3))) = s(X0,X3)
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
& ! [X4] :
( ? [X5] : s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
& ! [X6,X7] :
( s(X0,X6) = s(X0,X7)
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
| s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1)))) ) ),
inference(flattening,[],[f4986]) ).
fof(f4988,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
| ? [X3] :
( s(X0,X3) != s(X0,i(s(fun(X0,X0),X2),s(X0,X3)))
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X3))),s(fun(X0,bool),X1)))) )
| ? [X4] :
( ! [X5] : s(X0,X4) != s(X0,i(s(fun(X0,X0),X2),s(X0,X5)))
| ? [X6,X7] :
( s(X0,X6) != s(X0,X7)
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X6)))
& s(X0,X4) = s(X0,i(s(fun(X0,X0),X2),s(X0,X7))) ) ) )
& ( ( ! [X8] :
( s(X0,X8) = s(X0,i(s(fun(X0,X0),X2),s(X0,X8)))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X1)))) )
& ! [X9] :
( ? [X10] : s(X0,X9) = s(X0,i(s(fun(X0,X0),X2),s(X0,X10)))
& ! [X11,X12] :
( s(X0,X12) = s(X0,X11)
| s(X0,X9) != s(X0,i(s(fun(X0,X0),X2),s(X0,X11)))
| s(X0,X9) != s(X0,i(s(fun(X0,X0),X2),s(X0,X12))) ) ) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1)))) ) ),
inference(rectify,[],[f4987]) ).
fof(f4989,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
| ( s(X0,sK35(X0,X1,X2)) != s(X0,i(s(fun(X0,X0),X2),s(X0,sK35(X0,X1,X2))))
& ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK35(X0,X1,X2)))),s(fun(X0,bool),X1)))) )
| ! [X5] : s(X0,i(s(fun(X0,X0),X2),s(X0,X5))) != s(X0,sK36(X0,X2))
| ( s(X0,sK37(X0,X2)) != s(X0,sK38(X0,X2))
& s(X0,sK36(X0,X2)) = s(X0,i(s(fun(X0,X0),X2),s(X0,sK37(X0,X2))))
& s(X0,sK36(X0,X2)) = s(X0,i(s(fun(X0,X0),X2),s(X0,sK38(X0,X2)))) ) )
& ( ( ! [X8] :
( s(X0,X8) = s(X0,i(s(fun(X0,X0),X2),s(X0,X8)))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X8))),s(fun(X0,bool),X1)))) )
& ! [X9] :
( s(X0,X9) = s(X0,i(s(fun(X0,X0),X2),s(X0,sK39(X0,X2,X9))))
& ! [X11,X12] :
( s(X0,X12) = s(X0,X11)
| s(X0,X9) != s(X0,i(s(fun(X0,X0),X2),s(X0,X11)))
| s(X0,X9) != s(X0,i(s(fun(X0,X0),X2),s(X0,X12))) ) ) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38,sK39]),skolemize(X3,sK35(X0,X1,X2)),skolemize(X4,sK36(X0,X2)),skolemize(X6,sK37(X0,X2)),skolemize(X7,sK38(X0,X2)),skolemize(X10,sK39(X0,X2,X9))],[f4988]) ).
fof(f4996,plain,
! [X0,X1,X2] :
( ( ! [X3] :
? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,X3)
| 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) )
& ( 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) = s(fun(X1,X1),i1)
| ? [X3] :
! [X4] : s(X1,X3) != s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) ) ),
inference(nnf_transformation,[],[f3641]) ).
fof(f4997,plain,
! [X0,X1,X2] :
( ( ! [X3] :
? [X4] : s(X1,i(s(fun(X0,X1),X2),s(X0,X4))) = s(X1,X3)
| 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) )
& ( 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) = s(fun(X1,X1),i1)
| ? [X5] :
! [X6] : s(X1,X5) != s(X1,i(s(fun(X0,X1),X2),s(X0,X6))) ) ),
inference(rectify,[],[f4996]) ).
fof(f4998,plain,
! [X0,X1,X2] :
( ( ! [X3] : s(X1,X3) = s(X1,i(s(fun(X0,X1),X2),s(X0,sK46(X0,X1,X2,X3))))
| 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) )
& ( 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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) = s(fun(X1,X1),i1)
| ! [X6] : s(X1,i(s(fun(X0,X1),X2),s(X0,X6))) != s(X1,sK47(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47]),skolemize(X4,sK46(X0,X1,X2,X3)),skolemize(X5,sK47(X0,X1,X2))],[f4997]) ).
fof(f5002,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),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))) )
& ( 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,[],[f3978]) ).
fof(f5003,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),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))) )
& ( 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,[],[f5002]) ).
fof(f5004,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),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))) )
& ( 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)
| ( s(X1,sK51(X0,X1,X2)) != s(X1,sK52(X0,X1,X2))
& s(X0,i(s(fun(X1,X0),X2),s(X1,sK51(X0,X1,X2)))) = s(X0,i(s(fun(X1,X0),X2),s(X1,sK52(X0,X1,X2)))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52]),skolemize(X5,sK51(X0,X1,X2)),skolemize(X6,sK52(X0,X1,X2))],[f5003]) ).
fof(f5009,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( s(X0,i(s(fun(X0,X0),X1),s(X0,X3))) = s(X0,i(s(fun(X0,X0),X1),s(X0,X4)))
| s(X0,X3) != s(X0,X4) )
& ( s(X0,X3) = s(X0,X4)
| s(X0,i(s(fun(X0,X0),X1),s(X0,X3))) != s(X0,i(s(fun(X0,X0),X1),s(X0,X4))) ) )
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2)))) ),
inference(nnf_transformation,[],[f3983]) ).
fof(f5010,plain,
! [X0,X1,X2] :
( ! [X3] : s(X0,X3) = s(X0,i(s(fun(X0,X0),X1),s(X0,sK55(X0,X1,X3))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X4,sK55(X0,X1,X3))],[f3984]) ).
fof(f5011,plain,
( ( s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),sK57))),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57)))))
| s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))),s(fun(sK56,sK56),sK57))) )
& p(s(bool,i(s(fun(fun(sK56,bool),bool),i(s(fun(fun(sK56,sK56),fun(fun(sK56,bool),bool)),permutes),s(fun(sK56,sK56),sK57))),s(fun(sK56,bool),sK58)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57,sK58]),skolemize(X0,sK56),skolemize(X1,sK57),skolemize(X2,sK58)],[f3985]) ).
fof(f6585,plain,
! [X2,X0,X1,X9] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X2))),s(fun(X0,bool),X1))))
| s(X0,X9) = s(X0,i(s(fun(X0,X0),X2),s(X0,sK39(X0,X2,X9)))) ),
inference(cnf_transformation,[],[f4989]) ).
fof(f6597,plain,
! [X2,X0,X1,X6] :
( s(X1,i(s(fun(X0,X1),X2),s(X0,X6))) != s(X1,sK47(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),X2))),s(fun(X1,X0),i(s(fun(fun(X0,X1),fun(X1,X0)),inverse),s(fun(X0,X1),X2))))) ),
inference(cnf_transformation,[],[f4998]) ).
fof(f6602,plain,
! [X2,X0,X1] :
( 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)))
| s(X0,i(s(fun(X1,X0),X2),s(X1,sK51(X0,X1,X2)))) = s(X0,i(s(fun(X1,X0),X2),s(X1,sK52(X0,X1,X2)))) ),
inference(cnf_transformation,[],[f5004]) ).
fof(f6603,plain,
! [X2,X0,X1] :
( s(X1,sK51(X0,X1,X2)) != s(X1,sK52(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))) ),
inference(cnf_transformation,[],[f5004]) ).
fof(f6620,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
| s(X0,i(s(fun(X0,X0),X1),s(X0,X3))) != s(X0,i(s(fun(X0,X0),X1),s(X0,X4)))
| s(X0,X3) = s(X0,X4) ),
inference(cnf_transformation,[],[f5009]) ).
fof(f6622,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,X0),fun(fun(X0,bool),bool)),permutes),s(fun(X0,X0),X1))),s(fun(X0,bool),X2))))
| s(X0,X3) = s(X0,i(s(fun(X0,X0),X1),s(X0,sK55(X0,X1,X3)))) ),
inference(cnf_transformation,[],[f5010]) ).
fof(f6623,plain,
p(s(bool,i(s(fun(fun(sK56,bool),bool),i(s(fun(fun(sK56,sK56),fun(fun(sK56,bool),bool)),permutes),s(fun(sK56,sK56),sK57))),s(fun(sK56,bool),sK58)))),
inference(cnf_transformation,[],[f5011]) ).
fof(f6624,plain,
( s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),sK57))),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57)))))
| s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))),s(fun(sK56,sK56),sK57))) ),
inference(cnf_transformation,[],[f5011]) ).
fof(f10662,definition,
( spl1810_77
<=> s(fun(sK56,sK56),i1) = s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))),s(fun(sK56,sK56),sK57))) ),
introduced(definition,[new_symbols(definition,[spl1810_77])],[avatar_definition]) ).
fof(f10663,plain,
( s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))),s(fun(sK56,sK56),sK57)))
| spl1810_77 ),
inference(avatar_component_clause,[],[f10662]) ).
fof(f10665,definition,
( spl1810_78
<=> s(fun(sK56,sK56),i1) = s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),sK57))),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))) ),
introduced(definition,[new_symbols(definition,[spl1810_78])],[avatar_definition]) ).
fof(f10666,plain,
( s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),sK57))),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57)))))
| spl1810_78 ),
inference(avatar_component_clause,[],[f10665]) ).
fof(f10667,plain,
( ~ spl1810_77
| ~ spl1810_78 ),
inference(avatar_split_clause,[],[f6624,f10665,f10662]) ).
fof(f11316,plain,
( s(fun(sK56,sK56),i1) != s(fun(sK56,sK56),i1)
| s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK51(sK56,sK56,sK57)))) = s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK52(sK56,sK56,sK57))))
| spl1810_77 ),
inference(superposition,[],[f10663,f6602]) ).
fof(f11328,plain,
( s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK51(sK56,sK56,sK57)))) = s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK52(sK56,sK56,sK57))))
| spl1810_77 ),
inference(trivial_inequality_removal,[],[f11316]) ).
fof(f11384,plain,
! [X0,X1] :
( s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,X0))) != s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,X1)))
| s(sK56,X0) = s(sK56,X1) ),
inference(resolution,[],[f6620,f6623]) ).
fof(f11398,plain,
! [X0] : s(sK56,X0) = s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK55(sK56,sK57,X0)))),
inference(resolution,[],[f6622,f6623]) ).
fof(f11408,plain,
! [X0,X1] :
( s(sK56,X0) != s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,X1)))
| s(sK56,X1) = s(sK56,sK55(sK56,sK57,X0)) ),
inference(superposition,[],[f11384,f11398]) ).
fof(f11431,plain,
! [X0] : s(sK56,X0) = s(sK56,sK55(sK56,sK57,i(s(fun(sK56,sK56),sK57),s(sK56,X0)))),
inference(equality_resolution,[],[f11408]) ).
fof(f11443,plain,
! [X0,X1] :
( s(sK56,X0) != s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,X1)))
| s(sK56,X1) = s(sK56,sK55(sK56,sK57,sK55(sK56,sK57,i(s(fun(sK56,sK56),sK57),s(sK56,X0))))) ),
inference(superposition,[],[f11408,f11431]) ).
fof(f11460,plain,
! [X0] : s(sK56,X0) = s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK39(sK56,sK57,X0)))),
inference(resolution,[],[f6585,f6623]) ).
fof(f11469,plain,
! [X0,X1] :
( s(sK56,X0) != s(sK56,X1)
| s(sK56,sK55(sK56,sK57,X1)) = s(sK56,sK39(sK56,sK57,X0)) ),
inference(superposition,[],[f11408,f11460]) ).
fof(f11538,plain,
! [X0] : s(sK56,sK55(sK56,sK57,X0)) = s(sK56,sK39(sK56,sK57,X0)),
inference(equality_resolution,[],[f11469]) ).
fof(f11645,plain,
( $false
| spl1810_78 ),
inference(unit_resulting_resolution,[],[f6597,f11398,f10666]) ).
fof(f11646,plain,
spl1810_78,
inference(avatar_contradiction_clause,[],[f11645]) ).
fof(f11722,plain,
! [X0] : s(sK56,X0) = s(sK56,sK55(sK56,sK57,sK55(sK56,sK57,i(s(fun(sK56,sK56),sK57),s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,X0))))))),
inference(equality_resolution,[],[f11443]) ).
fof(f11723,plain,
! [X0] : s(sK56,X0) = s(sK56,sK39(sK56,sK57,sK55(sK56,sK57,i(s(fun(sK56,sK56),sK57),s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,X0))))))),
inference(forward_demodulation,[],[f11722,f11538]) ).
fof(f11734,plain,
( s(sK56,sK52(sK56,sK56,sK57)) = s(sK56,sK39(sK56,sK57,sK55(sK56,sK57,i(s(fun(sK56,sK56),sK57),s(sK56,i(s(fun(sK56,sK56),sK57),s(sK56,sK51(sK56,sK56,sK57))))))))
| spl1810_77 ),
inference(superposition,[],[f11723,f11328]) ).
fof(f11765,plain,
( s(sK56,sK51(sK56,sK56,sK57)) = s(sK56,sK52(sK56,sK56,sK57))
| spl1810_77 ),
inference(forward_demodulation,[],[f11734,f11723]) ).
fof(f11786,plain,
( s(sK56,sK51(sK56,sK56,sK57)) != s(sK56,sK51(sK56,sK56,sK57))
| s(fun(sK56,sK56),i1) = s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))),s(fun(sK56,sK56),sK57)))
| spl1810_77 ),
inference(superposition,[],[f6603,f11765]) ).
fof(f11789,plain,
( s(fun(sK56,sK56),i1) = s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),i(s(fun(fun(sK56,sK56),fun(fun(sK56,sK56),fun(sK56,sK56))),o),s(fun(sK56,sK56),i(s(fun(fun(sK56,sK56),fun(sK56,sK56)),inverse),s(fun(sK56,sK56),sK57))))),s(fun(sK56,sK56),sK57)))
| spl1810_77 ),
inference(trivial_inequality_removal,[],[f11786]) ).
fof(f11791,plain,
( $false
| spl1810_77 ),
inference(forward_subsumption_resolution,[],[f11789,f10663]) ).
fof(f11792,plain,
spl1810_77,
inference(avatar_contradiction_clause,[],[f11791]) ).
cnf(s93,plain,
( ~ spl1810_77
| ~ spl1810_78 ),
inference(sat_conversion,[],[f10667]) ).
cnf(s113,plain,
spl1810_78,
inference(sat_conversion,[],[f11646]) ).
cnf(s125,plain,
spl1810_77,
inference(sat_conversion,[],[f11792]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s93,s113,s125]) ).
fof(f11799,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO483+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:16:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.53/3.59 % (501081)Detected formulas, will run a generic FOF schedule.
% 11.53/3.59 % (501088)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=970147322:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 11.53/3.59 % (501087)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=1661569113:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 11.53/3.59 % (501086)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=1090841040:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 11.53/3.59 % (501090)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4032229160:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 11.53/3.59 % (501091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3308782585:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 11.53/3.59 % (501089)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2737689247:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 11.53/3.59 % (501092)dis-21_1_sil=8000:lcm=predicate:random_seed=3980121950: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)
% 11.53/3.59 % (501091)Instruction limit reached!
% 11.53/3.59 % (501091)------------------------------
% 11.53/3.59 % (501091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/3.59 % (501091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/3.59 % (501091)CaDiCaL version: 2.1.3
% 11.53/3.59 % (501091)Termination reason: Instruction limit
% 11.53/3.59 % (501091)Termination phase: Property scanning
% 11.53/3.59 % (501091)Time elapsed: 0.049 s
% 11.53/3.59 % (501091)Peak memory usage: 90 MB
% 11.53/3.59 % (501091)Instructions burned: 140 (million)
% 11.53/3.59 % (501089)Instruction limit reached!
% 11.53/3.59 % (501089)------------------------------
% 11.53/3.59 % (501089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/3.59 % (501089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/3.59 % (501089)CaDiCaL version: 2.1.3
% 11.53/3.59 % (501089)Termination reason: Instruction limit
% 11.53/3.59 % (501089)Termination phase: Property scanning
% 11.53/3.59 % (501089)Time elapsed: 0.057 s
% 11.53/3.59 % (501089)Peak memory usage: 92 MB
% 11.53/3.59 % (501089)Instructions burned: 111 (million)
% 11.53/3.59 % (501092)Instruction limit reached!
% 11.53/3.59 % (501092)------------------------------
% 11.53/3.59 % (501092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/3.59 % (501092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/3.59 % (501092)CaDiCaL version: 2.1.3
% 11.53/3.59 % (501092)Termination reason: Instruction limit
% 11.53/3.59 % (501092)Termination phase: SInE selection
% 11.53/3.59 % (501092)Time elapsed: 0.059 s
% 11.53/3.59 % (501092)Peak memory usage: 90 MB
% 11.53/3.59 % (501092)Instructions burned: 130 (million)
% 11.53/3.59 % (501090)Instruction limit reached!
% 11.53/3.59 % (501090)------------------------------
% 11.53/3.59 % (501090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/3.59 % (501090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/3.59 % (501090)CaDiCaL version: 2.1.3
% 11.53/3.59 % (501090)Termination reason: Instruction limit
% 11.53/3.59 % (501090)Termination phase: Preprocessing 1
% 11.53/3.59 % (501090)Time elapsed: 0.063 s
% 11.53/3.59 % (501090)Peak memory usage: 91 MB
% 11.53/3.59 % (501090)Instructions burned: 120 (million)
% 11.53/3.59 % (501100)lrs+10_1_sil=8000:sp=occurrence:random_seed=2702091294:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 11.53/3.59 % (501101)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3432816217:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 11.53/3.59 % (501102)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1073976089:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 11.53/3.59 % (501103)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=1425648031:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 11.53/3.59 % (501101)Instruction limit reached!
% 11.53/3.59 % (501101)------------------------------
% 19.09/4.62 % (501101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501101)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501101)Termination reason: Instruction limit
% 19.09/4.62 % (501101)Termination phase: Property scanning
% 19.09/4.62 % (501101)Time elapsed: 0.054 s
% 19.09/4.62 % (501101)Peak memory usage: 90 MB
% 19.09/4.62 % (501101)Instructions burned: 157 (million)
% 19.09/4.62 % (501103)Instruction limit reached!
% 19.09/4.62 % (501103)------------------------------
% 19.09/4.62 % (501103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501103)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501103)Termination reason: Instruction limit
% 19.09/4.62 % (501103)Termination phase: Property scanning
% 19.09/4.62 % (501103)Time elapsed: 0.085 s
% 19.09/4.62 % (501103)Peak memory usage: 90 MB
% 19.09/4.62 % (501103)Instructions burned: 250 (million)
% 19.09/4.62 % (501100)Instruction limit reached!
% 19.09/4.62 % (501100)------------------------------
% 19.09/4.62 % (501100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501100)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501100)Termination reason: Instruction limit
% 19.09/4.62 % (501100)Termination phase: Preprocessing 3
% 19.09/4.62 % (501100)Time elapsed: 0.147 s
% 19.09/4.62 % (501100)Peak memory usage: 98 MB
% 19.09/4.62 % (501100)Instructions burned: 285 (million)
% 19.09/4.62 % (501102)Instruction limit reached!
% 19.09/4.62 % (501102)------------------------------
% 19.09/4.62 % (501102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501102)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501102)Termination reason: Instruction limit
% 19.09/4.62 % (501102)Termination phase: Saturation
% 19.09/4.62 % (501102)Time elapsed: 0.173 s
% 19.09/4.62 % (501102)Peak memory usage: 97 MB
% 19.09/4.62 % (501102)Instructions burned: 325 (million)
% 19.09/4.62 % (501108)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1508038928:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 19.09/4.62 % (501109)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=822331044:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 19.09/4.62 % (501110)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3470220709:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 19.09/4.62 % (501111)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2225935163:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 19.09/4.62 % (501110)Instruction limit reached!
% 19.09/4.62 % (501110)------------------------------
% 19.09/4.62 % (501110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501110)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501110)Termination reason: Instruction limit
% 19.09/4.62 % (501110)Termination phase: Preprocessing 1
% 19.09/4.62 % (501110)Time elapsed: 0.061 s
% 19.09/4.62 % (501110)Peak memory usage: 91 MB
% 19.09/4.62 % (501110)Instructions burned: 114 (million)
% 19.09/4.62 % (501111)Instruction limit reached!
% 19.09/4.62 % (501111)------------------------------
% 19.09/4.62 % (501111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501111)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501111)Termination reason: Instruction limit
% 19.09/4.62 % (501111)Termination phase: Naming
% 19.09/4.62 % (501111)Time elapsed: 0.039 s
% 19.09/4.62 % (501111)Peak memory usage: 94 MB
% 19.09/4.62 % (501111)Instructions burned: 132 (million)
% 19.09/4.62 % (501108)Instruction limit reached!
% 19.09/4.62 % (501108)------------------------------
% 19.09/4.62 % (501108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.62 % (501108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.62 % (501108)CaDiCaL version: 2.1.3
% 19.09/4.62 % (501108)Termination reason: Instruction limit
% 19.09/4.62 % (501108)Termination phase: Preprocessing 3
% 19.09/4.62 % (501108)Time elapsed: 0.148 s
% 19.09/4.62 % (501108)Peak memory usage: 96 MB
% 20.53/6.32 % (501108)Instructions burned: 295 (million)
% 20.53/6.32 % (501117)lrs+10_1_sil=8000:sp=occurrence:random_seed=2221322802:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 20.53/6.32 % (501116)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4130588860:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 20.53/6.32 % (501118)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1639571227:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 20.53/6.32 % (501116)Instruction limit reached!
% 20.53/6.32 % (501116)------------------------------
% 20.53/6.32 % (501116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501116)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501116)Termination reason: Instruction limit
% 20.53/6.32 % (501116)Termination phase: Property scanning
% 20.53/6.32 % (501116)Time elapsed: 0.040 s
% 20.53/6.32 % (501116)Peak memory usage: 91 MB
% 20.53/6.32 % (501116)Instructions burned: 116 (million)
% 20.53/6.32 % (501117)Instruction limit reached!
% 20.53/6.32 % (501117)------------------------------
% 20.53/6.32 % (501117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501117)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501117)Termination reason: Instruction limit
% 20.53/6.32 % (501117)Termination phase: Property scanning
% 20.53/6.32 % (501117)Time elapsed: 0.210 s
% 20.53/6.32 % (501117)Peak memory usage: 101 MB
% 20.53/6.32 % (501117)Instructions burned: 911 (million)
% 20.53/6.32 % (501122)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2380548952:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 20.53/6.32 % (501118)Instruction limit reached!
% 20.53/6.32 % (501118)------------------------------
% 20.53/6.32 % (501118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501118)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501118)Termination reason: Instruction limit
% 20.53/6.32 % (501118)Termination phase: Saturation
% 20.53/6.32 % (501118)Time elapsed: 0.227 s
% 20.53/6.32 % (501118)Peak memory usage: 99 MB
% 20.53/6.32 % (501118)Instructions burned: 439 (million)
% 20.53/6.32 % (501123)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1475281713:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 20.53/6.32 % (501123)Instruction limit reached!
% 20.53/6.32 % (501123)------------------------------
% 20.53/6.32 % (501123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501123)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501123)Termination reason: Instruction limit
% 20.53/6.32 % (501123)Termination phase: NewCNF
% 20.53/6.32 % (501123)Time elapsed: 0.041 s
% 20.53/6.32 % (501123)Peak memory usage: 93 MB
% 20.53/6.32 % (501123)Instructions burned: 137 (million)
% 20.53/6.32 % (501125)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2264289476:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 20.53/6.32 % (501127)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=364270721:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 20.53/6.32 % (501109)Instruction limit reached!
% 20.53/6.32 % (501109)------------------------------
% 20.53/6.32 % (501109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501109)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501109)Termination reason: Instruction limit
% 20.53/6.32 % (501109)Termination phase: Twee Goal Transformation
% 20.53/6.32 % (501109)Time elapsed: 0.898 s
% 20.53/6.32 % (501109)Peak memory usage: 107 MB
% 20.53/6.32 % (501109)Instructions burned: 2352 (million)
% 20.53/6.32 % (501125)Instruction limit reached!
% 20.53/6.32 % (501125)------------------------------
% 20.53/6.32 % (501125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501125)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501125)Termination reason: Instruction limit
% 20.53/6.32 % (501125)Termination phase: Preprocessing 3
% 20.53/6.32 % (501125)Time elapsed: 0.293 s
% 20.53/6.32 % (501125)Peak memory usage: 102 MB
% 20.53/6.32 % (501125)Instructions burned: 594 (million)
% 20.53/6.32 % (501130)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=3334479757:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 20.53/6.32 % (501130)Instruction limit reached!
% 20.53/6.32 % (501130)------------------------------
% 20.53/6.32 % (501130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501130)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501130)Termination reason: Instruction limit
% 20.53/6.32 % (501130)Termination phase: Property scanning
% 20.53/6.32 % (501130)Time elapsed: 0.045 s
% 20.53/6.32 % (501130)Peak memory usage: 91 MB
% 20.53/6.32 % (501130)Instructions burned: 128 (million)
% 20.53/6.32 % (501131)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1759875215:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 20.53/6.32 % (501131)Instruction limit reached!
% 20.53/6.32 % (501131)------------------------------
% 20.53/6.32 % (501131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501131)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501131)Termination reason: Instruction limit
% 20.53/6.32 % (501131)Termination phase: Property scanning
% 20.53/6.32 % (501131)Time elapsed: 0.048 s
% 20.53/6.32 % (501131)Peak memory usage: 91 MB
% 20.53/6.32 % (501131)Instructions burned: 136 (million)
% 20.53/6.32 % (501133)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4107149637:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 20.53/6.32 % (501133)Instruction limit reached!
% 20.53/6.32 % (501133)------------------------------
% 20.53/6.32 % (501133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501133)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501133)Termination reason: Instruction limit
% 20.53/6.32 % (501133)Termination phase: General splitting
% 20.53/6.32 % (501133)Time elapsed: 0.072 s
% 20.53/6.32 % (501133)Peak memory usage: 93 MB
% 20.53/6.32 % (501133)Instructions burned: 143 (million)
% 20.53/6.32 % (501135)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=106025493:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 20.53/6.32 % (501135)Refutation not found, incomplete strategy
% 20.53/6.32 % (501135)------------------------------
% 20.53/6.32 % (501135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501135)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501135)Termination reason: Refutation not found, incomplete strategy
% 20.53/6.32 % (501135)Time elapsed: 0.094 s
% 20.53/6.32 % (501135)Peak memory usage: 96 MB
% 20.53/6.32 % (501135)Instructions burned: 177 (million)
% 20.53/6.32 % (501137)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=2238431331:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 20.53/6.32 % (501135)------------------------------
% 20.53/6.32 % (501135)------------------------------
% 20.53/6.32 % (501140)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=2933787404:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 20.53/6.32 % (501140)Instruction limit reached!
% 20.53/6.32 % (501140)------------------------------
% 20.53/6.32 % (501140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501140)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501140)Termination reason: Instruction limit
% 20.53/6.32 % (501140)Termination phase: Preprocessing 1
% 20.53/6.32 % (501140)Time elapsed: 0.084 s
% 20.53/6.32 % (501140)Peak memory usage: 92 MB
% 20.53/6.32 % (501140)Instructions burned: 152 (million)
% 20.53/6.32 % (501142)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2696477994:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 20.53/6.32 % (501087)First to succeed.
% 20.53/6.32 % (501087)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-501081"
% 20.53/6.32 % (501122)Instruction limit reached!
% 20.53/6.32 % (501122)------------------------------
% 20.53/6.32 % (501122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/6.32 % (501122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/6.32 % (501122)CaDiCaL version: 2.1.3
% 20.53/6.32 % (501122)Termination reason: Instruction limit
% 20.53/6.32 % (501122)Termination phase: Saturation
% 20.53/6.32 % (501122)Time elapsed: 2.948 s
% 20.53/6.32 % (501122)Peak memory usage: 250 MB
% 20.53/6.32 % (501122)Instructions burned: 5203 (million)
% 20.53/6.32 % (501144)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1914163119:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 20.53/6.32 % (501087)Refutation found. Thanks to Tanya!
% 20.53/6.32 % SZS status Theorem for theBenchmark
% 20.53/6.32 % SZS output start Proof for theBenchmark
% See solution above
% 32.14/6.52 % (501087)------------------------------
% 32.14/6.52 % (501087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.14/6.52 % (501087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.14/6.52 % (501087)CaDiCaL version: 2.1.3
% 32.14/6.52 % (501087)Termination reason: Refutation
% 32.14/6.52 % (501087)Time elapsed: 3.822 s
% 32.14/6.52 % (501087)Peak memory usage: 264 MB
% 32.14/6.52 % (501087)Instructions burned: 6948 (million)
% 32.14/6.52 % (501087)------------------------------
% 32.14/6.52 % (501087)------------------------------
% 32.14/6.52 % (501081)Success in time 5.467 s
% 32.14/6.52 % Vampire exiting
%------------------------------------------------------------------------------