%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM382+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:02 PM UTC 2026
% Result : Theorem 6.25s 1.88s
% Output : Refutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 62 ( 22 unt; 0 def)
% Number of atoms : 286 ( 185 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 342 ( 118 ~; 138 |; 82 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-7 aty)
% Number of variables : 302 ( 292 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( X6 = unordered_sextuple(X0,X1,X2,X3,X4,X5)
<=> ! [X7] :
( in(X7,X6)
<=> ~ ( X7 != X0
& X7 != X1
& X7 != X2
& X7 != X3
& X7 != X4
& X7 != X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_enumset1) ).
fof(f23,conjecture,
! [X0,X1,X2,X3,X4,X5] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X5)
& in(X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_ordinal1) ).
fof(f24,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X5)
& in(X5,X0) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f26,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X6 = unordered_sextuple(X0,X1,X2,X3,X4,X5)
<=> ! [X7] :
( in(X7,X6)
<=> ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| X5 = X7 ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f32,plain,
? [X0,X1,X2,X3,X4,X5] :
( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X5)
& in(X5,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f33,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X6 = unordered_sextuple(X0,X1,X2,X3,X4,X5)
| ? [X7] :
( ( ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7
& X5 != X7 )
| ~ in(X7,X6) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| X5 = X7
| in(X7,X6) ) ) )
& ( ! [X7] :
( ( in(X7,X6)
| ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7
& X5 != X7 ) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| X5 = X7
| ~ in(X7,X6) ) )
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X6 = unordered_sextuple(X0,X1,X2,X3,X4,X5)
| ? [X7] :
( ( ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7
& X5 != X7 )
| ~ in(X7,X6) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| X5 = X7
| in(X7,X6) ) ) )
& ( ! [X7] :
( ( in(X7,X6)
| ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7
& X5 != X7 ) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| X5 = X7
| ~ in(X7,X6) ) )
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X6 = unordered_sextuple(X0,X1,X2,X3,X4,X5)
| ? [X7] :
( ( ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7
& X5 != X7 )
| ~ in(X7,X6) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| X5 = X7
| in(X7,X6) ) ) )
& ( ! [X8] :
( ( in(X8,X6)
| ( X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8
& X4 != X8
& X5 != X8 ) )
& ( X0 = X8
| X1 = X8
| X2 = X8
| X3 = X8
| X4 = X8
| X5 = X8
| ~ in(X8,X6) ) )
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X6 = unordered_sextuple(X0,X1,X2,X3,X4,X5)
| ( ( ( sK0(X0,X1,X2,X3,X4,X5,X6) != X0
& sK0(X0,X1,X2,X3,X4,X5,X6) != X1
& sK0(X0,X1,X2,X3,X4,X5,X6) != X2
& sK0(X0,X1,X2,X3,X4,X5,X6) != X3
& sK0(X0,X1,X2,X3,X4,X5,X6) != X4
& sK0(X0,X1,X2,X3,X4,X5,X6) != X5 )
| ~ in(sK0(X0,X1,X2,X3,X4,X5,X6),X6) )
& ( sK0(X0,X1,X2,X3,X4,X5,X6) = X0
| sK0(X0,X1,X2,X3,X4,X5,X6) = X1
| sK0(X0,X1,X2,X3,X4,X5,X6) = X2
| sK0(X0,X1,X2,X3,X4,X5,X6) = X3
| sK0(X0,X1,X2,X3,X4,X5,X6) = X4
| sK0(X0,X1,X2,X3,X4,X5,X6) = X5
| in(sK0(X0,X1,X2,X3,X4,X5,X6),X6) ) ) )
& ( ! [X8] :
( ( in(X8,X6)
| ( X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8
& X4 != X8
& X5 != X8 ) )
& ( X0 = X8
| X1 = X8
| X2 = X8
| X3 = X8
| X4 = X8
| X5 = X8
| ~ in(X8,X6) ) )
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X7,sK0(X0,X1,X2,X3,X4,X5,X6))],[f37]) ).
fof(f39,plain,
( in(sK1,sK2)
& in(sK2,sK3)
& in(sK3,sK4)
& in(sK4,sK5)
& in(sK5,sK6)
& in(sK6,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f32]) ).
fof(f40,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK7(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK7(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X1))],[f33]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( X0 = X8
| X1 = X8
| X2 = X8
| X3 = X8
| X4 = X8
| X5 = X8
| ~ in(X8,X6)
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| X5 != X8
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| X4 != X8
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| X3 != X8
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| X2 != X8
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| X1 != X8
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| X0 != X8
| unordered_sextuple(X0,X1,X2,X3,X4,X5) != X6 ),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
in(sK6,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
in(sK5,sK6),
inference(cnf_transformation,[],[f39]) ).
fof(f57,plain,
in(sK4,sK5),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
in(sK3,sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
in(sK2,sK3),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
in(sK1,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ in(X0,X1)
| ~ in(X3,X1)
| ~ in(X3,sK7(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK7(X1),X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f64,plain,
! [X2,X3,X1,X8,X6,X4,X5] :
( in(X8,X6)
| unordered_sextuple(X8,X1,X2,X3,X4,X5) != X6 ),
inference(equality_resolution,[],[f47]) ).
fof(f65,plain,
! [X2,X3,X1,X8,X4,X5] : in(X8,unordered_sextuple(X8,X1,X2,X3,X4,X5)),
inference(equality_resolution,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X8,X6,X4,X5] :
( in(X8,X6)
| unordered_sextuple(X0,X8,X2,X3,X4,X5) != X6 ),
inference(equality_resolution,[],[f46]) ).
fof(f67,plain,
! [X2,X3,X0,X8,X4,X5] : in(X8,unordered_sextuple(X0,X8,X2,X3,X4,X5)),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X3,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| unordered_sextuple(X0,X1,X8,X3,X4,X5) != X6 ),
inference(equality_resolution,[],[f45]) ).
fof(f69,plain,
! [X3,X0,X1,X8,X4,X5] : in(X8,unordered_sextuple(X0,X1,X8,X3,X4,X5)),
inference(equality_resolution,[],[f68]) ).
fof(f70,plain,
! [X2,X0,X1,X8,X6,X4,X5] :
( in(X8,X6)
| unordered_sextuple(X0,X1,X2,X8,X4,X5) != X6 ),
inference(equality_resolution,[],[f44]) ).
fof(f71,plain,
! [X2,X0,X1,X8,X4,X5] : in(X8,unordered_sextuple(X0,X1,X2,X8,X4,X5)),
inference(equality_resolution,[],[f70]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X8,X6,X5] :
( in(X8,X6)
| unordered_sextuple(X0,X1,X2,X3,X8,X5) != X6 ),
inference(equality_resolution,[],[f43]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X8,X5] : in(X8,unordered_sextuple(X0,X1,X2,X3,X8,X5)),
inference(equality_resolution,[],[f72]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X8,X6,X4] :
( in(X8,X6)
| unordered_sextuple(X0,X1,X2,X3,X4,X8) != X6 ),
inference(equality_resolution,[],[f42]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X8,X4] : in(X8,unordered_sextuple(X0,X1,X2,X3,X4,X8)),
inference(equality_resolution,[],[f74]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X8,X4,X5] :
( ~ in(X8,unordered_sextuple(X0,X1,X2,X3,X4,X5))
| X1 = X8
| X2 = X8
| X3 = X8
| X4 = X8
| X5 = X8
| X0 = X8 ),
inference(equality_resolution,[],[f41]) ).
fof(f77,plain,
! [X3,X1] :
( ~ in(X3,X1)
| ~ in(X3,sK7(X1)) ),
inference(condensation,[],[f61]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] : ~ in(X0,sK7(unordered_sextuple(X0,X1,X2,X3,X4,X5))),
inference(resolution,[],[f65,f77]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4,X5] : in(sK7(unordered_sextuple(X0,X1,X2,X3,X4,X5)),unordered_sextuple(X0,X1,X2,X3,X4,X5)),
inference(resolution,[],[f65,f62]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] : ~ in(X0,sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5))),
inference(resolution,[],[f67,f77]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4,X5] : ~ in(X0,sK7(unordered_sextuple(X1,X2,X0,X3,X4,X5))),
inference(resolution,[],[f69,f77]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X4,X5] : ~ in(X0,sK7(unordered_sextuple(X1,X2,X3,X0,X4,X5))),
inference(resolution,[],[f71,f77]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4,X5] : ~ in(X0,sK7(unordered_sextuple(X1,X2,X3,X4,X0,X5))),
inference(resolution,[],[f73,f77]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4,X5] : ~ in(X0,sK7(unordered_sextuple(X1,X2,X3,X4,X5,X0))),
inference(resolution,[],[f75,f77]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5)) = X5
| sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5)) = X2
| sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5)) = X3
| sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5)) = X4
| sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5)) = X0
| sK7(unordered_sextuple(X1,X0,X2,X3,X4,X5)) = X1 ),
inference(resolution,[],[f76,f129]) ).
fof(f162,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(X1,X0)
| sK7(unordered_sextuple(X1,X2,X3,X4,X5,X0)) = X3
| sK7(unordered_sextuple(X1,X2,X3,X4,X5,X0)) = X4
| sK7(unordered_sextuple(X1,X2,X3,X4,X5,X0)) = X5
| sK7(unordered_sextuple(X1,X2,X3,X4,X5,X0)) = X2
| sK7(unordered_sextuple(X1,X2,X3,X4,X5,X0)) = X1 ),
inference(superposition,[],[f128,f160]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( sK1 = sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2))
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X2
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X3
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X0
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X1 ),
inference(resolution,[],[f162,f60]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,sK1)
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X2
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X3
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X0
| sK7(unordered_sextuple(sK1,X0,X1,X2,X3,sK2)) = X1 ),
inference(superposition,[],[f132,f184]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sK6 = sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2))
| sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2)) = X2
| sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2)) = X1
| sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2)) = X0 ),
inference(resolution,[],[f201,f55]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ in(X0,sK6)
| sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2)) = X2
| sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2)) = X1
| sK7(unordered_sextuple(sK1,sK6,X0,X1,X2,sK2)) = X0 ),
inference(superposition,[],[f136,f222]) ).
fof(f249,plain,
! [X0,X1] :
( sK5 = sK7(unordered_sextuple(sK1,sK6,sK5,X0,X1,sK2))
| sK7(unordered_sextuple(sK1,sK6,sK5,X0,X1,sK2)) = X0
| sK7(unordered_sextuple(sK1,sK6,sK5,X0,X1,sK2)) = X1 ),
inference(resolution,[],[f230,f56]) ).
fof(f259,plain,
! [X0,X1] :
( ~ in(X0,sK5)
| sK7(unordered_sextuple(sK1,sK6,sK5,X0,X1,sK2)) = X0
| sK7(unordered_sextuple(sK1,sK6,sK5,X0,X1,sK2)) = X1 ),
inference(superposition,[],[f140,f249]) ).
fof(f281,plain,
! [X0] :
( sK4 = sK7(unordered_sextuple(sK1,sK6,sK5,sK4,X0,sK2))
| sK7(unordered_sextuple(sK1,sK6,sK5,sK4,X0,sK2)) = X0 ),
inference(resolution,[],[f259,f57]) ).
fof(f293,plain,
! [X0] :
( ~ in(X0,sK4)
| sK7(unordered_sextuple(sK1,sK6,sK5,sK4,X0,sK2)) = X0 ),
inference(superposition,[],[f144,f281]) ).
fof(f318,plain,
sK3 = sK7(unordered_sextuple(sK1,sK6,sK5,sK4,sK3,sK2)),
inference(resolution,[],[f293,f58]) ).
fof(f332,plain,
~ in(sK2,sK3),
inference(superposition,[],[f148,f318]) ).
fof(f337,plain,
$false,
inference(resolution,[],[f332,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM382+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 19:48:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.25/1.88 % (3834244)Detected formulas, will run a generic FOF schedule.
% 6.25/1.88 % (3834252)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1484177580:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.25/1.88 % (3834252)Refutation not found, incomplete strategy
% 6.25/1.88 % (3834252)------------------------------
% 6.25/1.88 % (3834252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834252)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834252)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.88 % (3834252)Time elapsed: 0.001 s
% 6.25/1.88 % (3834252)Peak memory usage: 88 MB
% 6.25/1.88 % (3834249)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=39951724:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.25/1.88 % (3834251)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=1305619708:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.25/1.88 % (3834250)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=1312544237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.25/1.88 % (3834254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=577230680:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.25/1.88 % (3834255)dis-21_1_sil=8000:lcm=predicate:random_seed=1125697021:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.25/1.88 % (3834253)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=203386188:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.25/1.88 % (3834253)Refutation not found, incomplete strategy
% 6.25/1.88 % (3834253)------------------------------
% 6.25/1.88 % (3834253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834253)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834253)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.88 % (3834253)Time elapsed: 0.002 s
% 6.25/1.88 % (3834253)Peak memory usage: 88 MB
% 6.25/1.88 % (3834253)Instructions burned: 1 (million)
% 6.25/1.88 % (3834255)Instruction limit reached!
% 6.25/1.88 % (3834255)------------------------------
% 6.25/1.88 % (3834255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834255)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834255)Termination reason: Instruction limit
% 6.25/1.88 % (3834255)Termination phase: Saturation
% 6.25/1.88 % (3834255)Time elapsed: 0.064 s
% 6.25/1.88 % (3834255)Peak memory usage: 89 MB
% 6.25/1.88 % (3834255)Instructions burned: 129 (million)
% 6.25/1.88 % (3834254)Instruction limit reached!
% 6.25/1.88 % (3834254)------------------------------
% 6.25/1.88 % (3834254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834254)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834254)Termination reason: Instruction limit
% 6.25/1.88 % (3834254)Termination phase: Saturation
% 6.25/1.88 % (3834254)Time elapsed: 0.074 s
% 6.25/1.88 % (3834254)Peak memory usage: 88 MB
% 6.25/1.88 % (3834254)Instructions burned: 139 (million)
% 6.25/1.88 % (3834252)------------------------------
% 6.25/1.88 % (3834252)------------------------------
% 6.25/1.88 % (3834263)lrs+10_1_sil=8000:sp=occurrence:random_seed=211400381:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.25/1.88 % (3834264)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3903632786:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.25/1.88 % (3834265)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2933455859:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.25/1.88 % (3834264)Refutation not found, incomplete strategy
% 6.25/1.88 % (3834264)------------------------------
% 6.25/1.88 % (3834264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834264)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834264)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.88 % (3834264)Time elapsed: 0.040 s
% 6.25/1.88 % (3834264)Peak memory usage: 89 MB
% 6.25/1.88 % (3834264)Instructions burned: 76 (million)
% 6.25/1.88 % (3834253)------------------------------
% 6.25/1.88 % (3834253)------------------------------
% 6.25/1.88 % (3834265)Instruction limit reached!
% 6.25/1.88 % (3834265)------------------------------
% 6.25/1.88 % (3834265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834265)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834265)Termination reason: Instruction limit
% 6.25/1.88 % (3834265)Termination phase: Saturation
% 6.25/1.88 % (3834265)Time elapsed: 0.090 s
% 6.25/1.88 % (3834265)Peak memory usage: 90 MB
% 6.25/1.88 % (3834265)Instructions burned: 328 (million)
% 6.25/1.88 % (3834263)Instruction limit reached!
% 6.25/1.88 % (3834263)------------------------------
% 6.25/1.88 % (3834263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834263)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834263)Termination reason: Instruction limit
% 6.25/1.88 % (3834263)Termination phase: Saturation
% 6.25/1.88 % (3834263)Time elapsed: 0.124 s
% 6.25/1.88 % (3834263)Peak memory usage: 89 MB
% 6.25/1.88 % (3834263)Instructions burned: 286 (million)
% 6.25/1.88 % (3834270)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=540677679:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.25/1.88 % (3834269)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=3857464444:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.25/1.88 % (3834270)Refutation not found, incomplete strategy
% 6.25/1.88 % (3834270)------------------------------
% 6.25/1.88 % (3834270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834270)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834270)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.88 % (3834270)Time elapsed: 0.001 s
% 6.25/1.88 % (3834270)Peak memory usage: 88 MB
% 6.25/1.88 % (3834270)Instructions burned: 1 (million)
% 6.25/1.88 % (3834264)------------------------------
% 6.25/1.88 % (3834264)------------------------------
% 6.25/1.88 % (3834271)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1936386450:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.25/1.88 % (3834269)Instruction limit reached!
% 6.25/1.88 % (3834269)------------------------------
% 6.25/1.88 % (3834269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834269)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834269)Termination reason: Instruction limit
% 6.25/1.88 % (3834269)Termination phase: Saturation
% 6.25/1.88 % (3834269)Time elapsed: 0.143 s
% 6.25/1.88 % (3834269)Peak memory usage: 90 MB
% 6.25/1.88 % (3834269)Instructions burned: 248 (million)
% 6.25/1.88 % (3834270)------------------------------
% 6.25/1.88 % (3834270)------------------------------
% 6.25/1.88 % (3834275)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2465635212:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.25/1.88 % (3834277)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2630129568:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.25/1.88 % (3834277)First to succeed.
% 6.25/1.88 % (3834277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3834244"
% 6.25/1.88 % (3834275)Instruction limit reached!
% 6.25/1.88 % (3834275)------------------------------
% 6.25/1.88 % (3834275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834275)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834275)Termination reason: Instruction limit
% 6.25/1.88 % (3834275)Termination phase: Saturation
% 6.25/1.88 % (3834275)Time elapsed: 0.065 s
% 6.25/1.88 % (3834275)Peak memory usage: 89 MB
% 6.25/1.88 % (3834275)Instructions burned: 113 (million)
% 6.25/1.88 % (3834249)Also succeeded, but the first one will report.
% 6.25/1.88 % (3834276)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2521106220:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.25/1.88 % (3834276)Instruction limit reached!
% 6.25/1.88 % (3834276)------------------------------
% 6.25/1.88 % (3834276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.88 % (3834276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.88 % (3834276)CaDiCaL version: 2.1.3
% 6.25/1.88 % (3834276)Termination reason: Instruction limit
% 6.25/1.88 % (3834276)Termination phase: Saturation
% 6.25/1.88 % (3834276)Time elapsed: 0.071 s
% 6.25/1.88 % (3834276)Peak memory usage: 89 MB
% 6.25/1.88 % (3834276)Instructions burned: 128 (million)
% 6.25/1.88 % (3834277)Refutation found. Thanks to Tanya!
% 6.25/1.88 % SZS status Theorem for theBenchmark
% 6.25/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 7.87/2.05 % (3834277)------------------------------
% 7.87/2.05 % (3834277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.05 % (3834277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.05 % (3834277)CaDiCaL version: 2.1.3
% 7.87/2.05 % (3834277)Termination reason: Refutation
% 7.87/2.05 % (3834277)Time elapsed: 0.006 s
% 7.87/2.05 % (3834277)Peak memory usage: 89 MB
% 7.87/2.05 % (3834277)Instructions burned: 18 (million)
% 7.87/2.05 % (3834277)------------------------------
% 7.87/2.05 % (3834277)------------------------------
% 7.87/2.05 % (3834244)Success in time 1.026 s
% 7.87/2.05 % Vampire exiting
%------------------------------------------------------------------------------