%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM381+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 5.13s 1.62s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 76 ( 19 unt; 3 def)
% Number of atoms : 318 ( 161 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 380 ( 138 ~; 163 |; 70 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-6 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-6 aty)
% Number of variables : 276 ( 0 sgn 267 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3,X4,X5] :
( X5 = unordered_quintuple(X0,X1,X2,X3,X4)
<=> ! [X6] :
( in(X6,X5)
<=> ~ ( X6 != X0
& X6 != X1
& X6 != X2
& X6 != X3
& X6 != X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_enumset1) ).
fof(f22,conjecture,
! [X0,X1,X2,X3,X4] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_ordinal1) ).
fof(f23,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f26,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 = unordered_quintuple(X0,X1,X2,X3,X4)
<=> ! [X6] :
( in(X6,X5)
<=> ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6 ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f43,plain,
? [X0,X1,X2,X3,X4] :
( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f48,definition,
! [X0,X1,X2,X3,X4,X5] :
( sP0(X0,X1,X2,X3,X4,X5)
<=> ! [X6] :
( in(X6,X5)
<=> ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 = unordered_quintuple(X0,X1,X2,X3,X4)
<=> sP0(X0,X1,X2,X3,X4,X5) ),
inference(definition_folding,[],[f39,f48]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP0(X0,X1,X2,X3,X4,X5)
| ? [X6] :
( ( ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6
& X4 != X6 )
| ~ in(X6,X5) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6
| in(X6,X5) ) ) )
& ( ! [X6] :
( ( in(X6,X5)
| ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6
& X4 != X6 ) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6
| ~ in(X6,X5) ) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP0(X0,X1,X2,X3,X4,X5)
| ? [X6] :
( ( ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6
& X4 != X6 )
| ~ in(X6,X5) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6
| in(X6,X5) ) ) )
& ( ! [X6] :
( ( in(X6,X5)
| ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6
& X4 != X6 ) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6
| ~ in(X6,X5) ) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP0(X0,X1,X2,X3,X4,X5)
| ? [X6] :
( ( ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6
& X4 != X6 )
| ~ in(X6,X5) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| X4 = X6
| in(X6,X5) ) ) )
& ( ! [X7] :
( ( in(X7,X5)
| ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7 ) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| ~ in(X7,X5) ) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP0(X0,X1,X2,X3,X4,X5)
| ( ( ( sK1(X0,X1,X2,X3,X4,X5) != X0
& sK1(X0,X1,X2,X3,X4,X5) != X1
& sK1(X0,X1,X2,X3,X4,X5) != X2
& sK1(X0,X1,X2,X3,X4,X5) != X3
& sK1(X0,X1,X2,X3,X4,X5) != X4 )
| ~ in(sK1(X0,X1,X2,X3,X4,X5),X5) )
& ( sK1(X0,X1,X2,X3,X4,X5) = X0
| sK1(X0,X1,X2,X3,X4,X5) = X1
| sK1(X0,X1,X2,X3,X4,X5) = X2
| sK1(X0,X1,X2,X3,X4,X5) = X3
| sK1(X0,X1,X2,X3,X4,X5) = X4
| in(sK1(X0,X1,X2,X3,X4,X5),X5) ) ) )
& ( ! [X7] :
( ( in(X7,X5)
| ( X0 != X7
& X1 != X7
& X2 != X7
& X3 != X7
& X4 != X7 ) )
& ( X0 = X7
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| ~ in(X7,X5) ) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X6,sK1(X0,X1,X2,X3,X4,X5))],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( X5 = unordered_quintuple(X0,X1,X2,X3,X4)
| ~ sP0(X0,X1,X2,X3,X4,X5) )
& ( sP0(X0,X1,X2,X3,X4,X5)
| unordered_quintuple(X0,X1,X2,X3,X4) != X5 ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f66,plain,
( in(sK13,sK14)
& in(sK14,sK15)
& in(sK15,sK16)
& in(sK16,sK17)
& in(sK17,sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16),skolemize(X4,sK17)],[f43]) ).
fof(f67,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK18(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK18(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X1))],[f46]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5)
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| ~ in(X7,X5)
| X0 = X7 ),
inference(cnf_transformation,[],[f53]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( in(X7,X5)
| X4 != X7
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( in(X7,X5)
| X3 != X7
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( in(X7,X5)
| X2 != X7
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( in(X7,X5)
| X1 != X7
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( in(X7,X5)
| X0 != X7
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X0,X1,X2,X3,X4,X5)
| unordered_quintuple(X0,X1,X2,X3,X4) != X5 ),
inference(cnf_transformation,[],[f54]) ).
fof(f113,plain,
in(sK17,sK13),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
in(sK16,sK17),
inference(cnf_transformation,[],[f66]) ).
fof(f115,plain,
in(sK15,sK16),
inference(cnf_transformation,[],[f66]) ).
fof(f116,plain,
in(sK14,sK15),
inference(cnf_transformation,[],[f66]) ).
fof(f117,plain,
in(sK13,sK14),
inference(cnf_transformation,[],[f66]) ).
fof(f120,plain,
! [X3,X0,X1] :
( ~ in(X3,sK18(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f121,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK18(X1),X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f123,plain,
! [X2,X3,X1,X7,X4,X5] :
( ~ sP0(X7,X1,X2,X3,X4,X5)
| in(X7,X5) ),
inference(equality_resolution,[],[f78]) ).
fof(f124,plain,
! [X2,X3,X0,X7,X4,X5] :
( ~ sP0(X0,X7,X2,X3,X4,X5)
| in(X7,X5) ),
inference(equality_resolution,[],[f77]) ).
fof(f125,plain,
! [X3,X0,X1,X7,X4,X5] :
( ~ sP0(X0,X1,X7,X3,X4,X5)
| in(X7,X5) ),
inference(equality_resolution,[],[f76]) ).
fof(f126,plain,
! [X2,X0,X1,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X7,X4,X5)
| in(X7,X5) ),
inference(equality_resolution,[],[f75]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ sP0(X0,X1,X2,X3,X7,X5)
| in(X7,X5) ),
inference(equality_resolution,[],[f74]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] : sP0(X0,X1,X2,X3,X4,unordered_quintuple(X0,X1,X2,X3,X4)),
inference(equality_resolution,[],[f85]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(X1,unordered_quintuple(X5,X0,X2,X3,X4))
| X1 = X2
| X1 = X3
| X1 = X4
| X0 = X1
| X1 = X5 ),
inference(resolution,[],[f128,f73]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] : in(X0,unordered_quintuple(X0,X1,X2,X3,X4)),
inference(resolution,[],[f128,f123]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] : in(X0,unordered_quintuple(X1,X0,X2,X3,X4)),
inference(resolution,[],[f128,f124]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] : in(X0,unordered_quintuple(X1,X2,X0,X3,X4)),
inference(resolution,[],[f128,f125]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4] : in(X0,unordered_quintuple(X1,X2,X3,X0,X4)),
inference(resolution,[],[f128,f126]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] : in(X0,unordered_quintuple(X1,X2,X3,X4,X0)),
inference(resolution,[],[f128,f127]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] : in(sK18(unordered_quintuple(X0,X1,X2,X3,X4)),unordered_quintuple(X0,X1,X2,X3,X4)),
inference(resolution,[],[f141,f121]) ).
fof(f163,plain,
! [X2,X3,X0,X1,X4] :
( sK18(unordered_quintuple(X0,X1,X2,X3,X4)) = X2
| sK18(unordered_quintuple(X0,X1,X2,X3,X4)) = X3
| sK18(unordered_quintuple(X0,X1,X2,X3,X4)) = X4
| sK18(unordered_quintuple(X0,X1,X2,X3,X4)) = X1
| sK18(unordered_quintuple(X0,X1,X2,X3,X4)) = X0 ),
inference(resolution,[],[f139,f146]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ in(X6,unordered_quintuple(X2,X3,X0,X4,X5))
| ~ in(X1,unordered_quintuple(X2,X3,X0,X4,X5))
| ~ in(X1,X0)
| sK18(unordered_quintuple(X2,X3,X0,X4,X5)) = X4
| sK18(unordered_quintuple(X2,X3,X0,X4,X5)) = X5
| sK18(unordered_quintuple(X2,X3,X0,X4,X5)) = X3
| sK18(unordered_quintuple(X2,X3,X0,X4,X5)) = X2 ),
inference(superposition,[],[f120,f163]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(X0,unordered_quintuple(X1,X2,X3,X4,X5))
| ~ in(X0,X3)
| sK18(unordered_quintuple(X1,X2,X3,X4,X5)) = X4
| sK18(unordered_quintuple(X1,X2,X3,X4,X5)) = X5
| sK18(unordered_quintuple(X1,X2,X3,X4,X5)) = X2
| sK18(unordered_quintuple(X1,X2,X3,X4,X5)) = X1 ),
inference(resolution,[],[f165,f146]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X0,X1)
| sK18(unordered_quintuple(X2,X0,X1,X3,X4)) = X3
| sK18(unordered_quintuple(X2,X0,X1,X3,X4)) = X4
| sK18(unordered_quintuple(X2,X0,X1,X3,X4)) = X0
| sK18(unordered_quintuple(X2,X0,X1,X3,X4)) = X2 ),
inference(resolution,[],[f205,f142]) ).
fof(f552,plain,
! [X2,X0,X1] :
( sK18(unordered_quintuple(X0,sK13,sK14,X1,X2)) = X1
| sK18(unordered_quintuple(X0,sK13,sK14,X1,X2)) = X2
| sK13 = sK18(unordered_quintuple(X0,sK13,sK14,X1,X2))
| sK18(unordered_quintuple(X0,sK13,sK14,X1,X2)) = X0 ),
inference(resolution,[],[f225,f117]) ).
fof(f602,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_quintuple(X1,sK13,sK14,X2,X3))
| ~ in(X0,unordered_quintuple(X1,sK13,sK14,X2,X3))
| ~ in(X0,sK13)
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X3)) = X2
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X3)) = X3
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X3)) = X1 ),
inference(superposition,[],[f120,f552]) ).
fof(f638,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_quintuple(X1,sK13,sK14,X2,X3))
| ~ in(X0,sK13)
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X3)) = X2
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X3)) = X3
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X3)) = X1 ),
inference(resolution,[],[f602,f146]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ in(X0,sK13)
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X0)) = X2
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X0)) = X0
| sK18(unordered_quintuple(X1,sK13,sK14,X2,X0)) = X1 ),
inference(resolution,[],[f638,f145]) ).
fof(f647,plain,
! [X0,X1] :
( sK18(unordered_quintuple(X0,sK13,sK14,X1,sK17)) = X1
| sK17 = sK18(unordered_quintuple(X0,sK13,sK14,X1,sK17))
| sK18(unordered_quintuple(X0,sK13,sK14,X1,sK17)) = X0 ),
inference(resolution,[],[f643,f113]) ).
fof(f1262,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,unordered_quintuple(X1,sK13,sK14,X2,sK17))
| ~ in(X0,unordered_quintuple(X1,sK13,sK14,X2,sK17))
| ~ in(X0,sK17)
| sK18(unordered_quintuple(X1,sK13,sK14,X2,sK17)) = X2
| sK18(unordered_quintuple(X1,sK13,sK14,X2,sK17)) = X1 ),
inference(superposition,[],[f120,f647]) ).
fof(f1276,plain,
! [X2,X0,X1] :
( ~ in(X0,unordered_quintuple(X1,sK13,sK14,X2,sK17))
| ~ in(X0,sK17)
| sK18(unordered_quintuple(X1,sK13,sK14,X2,sK17)) = X2
| sK18(unordered_quintuple(X1,sK13,sK14,X2,sK17)) = X1 ),
inference(resolution,[],[f1262,f146]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ in(X0,sK17)
| sK18(unordered_quintuple(X1,sK13,sK14,X0,sK17)) = X0
| sK18(unordered_quintuple(X1,sK13,sK14,X0,sK17)) = X1 ),
inference(resolution,[],[f1276,f144]) ).
fof(f1292,plain,
! [X0] :
( sK16 = sK18(unordered_quintuple(X0,sK13,sK14,sK16,sK17))
| sK18(unordered_quintuple(X0,sK13,sK14,sK16,sK17)) = X0 ),
inference(resolution,[],[f1280,f114]) ).
fof(f1302,plain,
! [X2,X0,X1] :
( ~ in(X2,unordered_quintuple(X1,sK13,sK14,sK16,sK17))
| ~ in(X0,unordered_quintuple(X1,sK13,sK14,sK16,sK17))
| ~ in(X0,sK16)
| sK18(unordered_quintuple(X1,sK13,sK14,sK16,sK17)) = X1 ),
inference(superposition,[],[f120,f1292]) ).
fof(f1330,plain,
! [X0,X1] :
( ~ in(X0,unordered_quintuple(X1,sK13,sK14,sK16,sK17))
| ~ in(X0,sK16)
| sK18(unordered_quintuple(X1,sK13,sK14,sK16,sK17)) = X1 ),
inference(resolution,[],[f1302,f146]) ).
fof(f1331,plain,
! [X0] :
( ~ in(X0,sK16)
| sK18(unordered_quintuple(X0,sK13,sK14,sK16,sK17)) = X0 ),
inference(resolution,[],[f1330,f141]) ).
fof(f1350,plain,
sK15 = sK18(unordered_quintuple(sK15,sK13,sK14,sK16,sK17)),
inference(resolution,[],[f1331,f115]) ).
fof(f1356,plain,
! [X0,X1] :
( ~ in(X0,sK15)
| ~ in(X0,unordered_quintuple(sK15,sK13,sK14,sK16,sK17))
| ~ in(X1,unordered_quintuple(sK15,sK13,sK14,sK16,sK17)) ),
inference(superposition,[],[f120,f1350]) ).
fof(f1358,definition,
( spl19_16
<=> ! [X1] : ~ in(X1,unordered_quintuple(sK15,sK13,sK14,sK16,sK17)) ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f1359,plain,
( ! [X1] : ~ in(X1,unordered_quintuple(sK15,sK13,sK14,sK16,sK17))
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1361,definition,
( spl19_17
<=> ! [X0] :
( ~ in(X0,sK15)
| ~ in(X0,unordered_quintuple(sK15,sK13,sK14,sK16,sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f1362,plain,
( ! [X0] :
( ~ in(X0,unordered_quintuple(sK15,sK13,sK14,sK16,sK17))
| ~ in(X0,sK15) )
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1363,plain,
( spl19_16
| spl19_17 ),
inference(avatar_split_clause,[],[f1356,f1361,f1358]) ).
fof(f1367,plain,
( $false
| ~ spl19_16 ),
inference(resolution,[],[f1359,f141]) ).
fof(f1378,plain,
~ spl19_16,
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1381,plain,
( ~ in(sK14,sK15)
| ~ spl19_17 ),
inference(resolution,[],[f1362,f143]) ).
fof(f1386,plain,
( $false
| ~ spl19_17 ),
inference(forward_subsumption_resolution,[],[f1381,f116]) ).
fof(f1387,plain,
~ spl19_17,
inference(avatar_contradiction_clause,[],[f1386]) ).
cnf(s9,plain,
( spl19_16
| spl19_17 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s15,plain,
~ spl19_16,
inference(sat_conversion,[],[f1378]) ).
cnf(s16,plain,
~ spl19_17,
inference(sat_conversion,[],[f1387]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s9,s16,s15]) ).
fof(f1388,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM381+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n019.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 19:45:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 5.13/1.62 % (3365518)Detected formulas, will run a generic FOF schedule.
% 5.13/1.62 % (3365523)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=2298399338:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.13/1.62 % (3365528)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1044255811:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.13/1.62 % (3365527)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2652740110:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.13/1.62 % (3365526)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2551259055:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.13/1.62 % (3365524)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=4113809232:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.13/1.62 % (3365525)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=1639453689:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.13/1.62 % (3365526)Refutation not found, incomplete strategy
% 5.13/1.62 % (3365526)------------------------------
% 5.13/1.62 % (3365526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365527)Refutation not found, incomplete strategy
% 5.13/1.62 % (3365527)------------------------------
% 5.13/1.62 % (3365527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365526)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365526)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.62 % (3365526)Time elapsed: 0.001 s
% 5.13/1.62 % (3365526)Peak memory usage: 88 MB
% 5.13/1.62 % (3365527)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365527)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.62 % (3365527)Time elapsed: 0.001 s
% 5.13/1.62 % (3365527)Peak memory usage: 88 MB
% 5.13/1.62 % (3365527)Instructions burned: 1 (million)
% 5.13/1.62 % (3365529)dis-21_1_sil=8000:lcm=predicate:random_seed=1611143716: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)
% 5.13/1.62 % (3365528)Instruction limit reached!
% 5.13/1.62 % (3365528)------------------------------
% 5.13/1.62 % (3365528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365528)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365528)Termination reason: Instruction limit
% 5.13/1.62 % (3365528)Termination phase: Saturation
% 5.13/1.62 % (3365528)Time elapsed: 0.078 s
% 5.13/1.62 % (3365528)Peak memory usage: 89 MB
% 5.13/1.62 % (3365528)Instructions burned: 140 (million)
% 5.13/1.62 % (3365529)Instruction limit reached!
% 5.13/1.62 % (3365529)------------------------------
% 5.13/1.62 % (3365529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365529)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365529)Termination reason: Instruction limit
% 5.13/1.62 % (3365529)Termination phase: Saturation
% 5.13/1.62 % (3365529)Time elapsed: 0.064 s
% 5.13/1.62 % (3365529)Peak memory usage: 88 MB
% 5.13/1.62 % (3365529)Instructions burned: 130 (million)
% 5.13/1.62 % (3365538)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2281999826:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.13/1.62 % (3365537)lrs+10_1_sil=8000:sp=occurrence:random_seed=1484288191:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.13/1.62 % (3365538)Refutation not found, incomplete strategy
% 5.13/1.62 % (3365538)------------------------------
% 5.13/1.62 % (3365538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365538)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365538)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.62 % (3365538)Time elapsed: 0.025 s
% 5.13/1.62 % (3365538)Peak memory usage: 89 MB
% 5.13/1.62 % (3365538)Instructions burned: 46 (million)
% 5.13/1.62 % (3365526)------------------------------
% 5.13/1.62 % (3365526)------------------------------
% 5.13/1.62 % (3365527)------------------------------
% 5.13/1.62 % (3365527)------------------------------
% 5.13/1.62 % (3365537)Instruction limit reached!
% 5.13/1.62 % (3365537)------------------------------
% 5.13/1.62 % (3365537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365537)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365537)Termination reason: Instruction limit
% 5.13/1.62 % (3365537)Termination phase: Saturation
% 5.13/1.62 % (3365537)Time elapsed: 0.125 s
% 5.13/1.62 % (3365537)Peak memory usage: 89 MB
% 5.13/1.62 % (3365537)Instructions burned: 286 (million)
% 5.13/1.62 % (3365541)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2575516221:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.13/1.62 % (3365542)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=693747127:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.13/1.62 % (3365523)First to succeed.
% 5.13/1.62 % (3365523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3365518"
% 5.13/1.62 % (3365538)------------------------------
% 5.13/1.62 % (3365538)------------------------------
% 5.13/1.62 % (3365543)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2641363562:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.13/1.62 % (3365543)Refutation not found, incomplete strategy
% 5.13/1.62 % (3365543)------------------------------
% 5.13/1.62 % (3365543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365543)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365543)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.62 % (3365543)Time elapsed: 0.001 s
% 5.13/1.62 % (3365543)Peak memory usage: 88 MB
% 5.13/1.62 % (3365543)Instructions burned: 1 (million)
% 5.13/1.62 % (3365542)Instruction limit reached!
% 5.13/1.62 % (3365542)------------------------------
% 5.13/1.62 % (3365542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365542)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365542)Termination reason: Instruction limit
% 5.13/1.62 % (3365542)Termination phase: Saturation
% 5.13/1.62 % (3365542)Time elapsed: 0.123 s
% 5.13/1.62 % (3365542)Peak memory usage: 90 MB
% 5.13/1.62 % (3365542)Instructions burned: 249 (million)
% 5.13/1.62 % (3365541)Instruction limit reached!
% 5.13/1.62 % (3365541)------------------------------
% 5.13/1.62 % (3365541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.62 % (3365541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.62 % (3365541)CaDiCaL version: 2.1.3
% 5.13/1.62 % (3365541)Termination reason: Instruction limit
% 5.13/1.62 % (3365541)Termination phase: Saturation
% 5.13/1.62 % (3365541)Time elapsed: 0.165 s
% 5.13/1.62 % (3365541)Peak memory usage: 89 MB
% 5.13/1.62 % (3365541)Instructions burned: 326 (million)
% 5.13/1.62 % (3365547)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1102997062:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.13/1.62 % (3365523)Refutation found. Thanks to Tanya!
% 5.13/1.62 % SZS status Theorem for theBenchmark
% 5.13/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.81 % (3365523)------------------------------
% 0.15/1.81 % (3365523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.81 % (3365523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.81 % (3365523)CaDiCaL version: 2.1.3
% 0.15/1.81 % (3365523)Termination reason: Refutation
% 0.15/1.81 % (3365523)Time elapsed: 0.500 s
% 0.15/1.81 % (3365523)Peak memory usage: 132 MB
% 0.15/1.81 % (3365523)Instructions burned: 1316 (million)
% 0.15/1.81 % (3365523)------------------------------
% 0.15/1.81 % (3365523)------------------------------
% 0.15/1.81 % (3365518)Success in time 0.762 s
% 0.15/1.81 % Vampire exiting
%------------------------------------------------------------------------------