%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU277+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:52:42 PM UTC 2026
% Result : Theorem 1.47s 0.74s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 106 ( 10 unt; 5 def)
% Number of atoms : 519 ( 104 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 638 ( 225 ~; 273 |; 119 &)
% ( 11 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 246 ( 0 sgn 139 !; 107 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( relation(X1)
& relation(X2)
& function(X2) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X0,X0))
& ? [X5,X6] :
( X4 = ordered_pair(X5,X6)
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_21__wellord2__1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X1)
& relation(X2)
& function(X2) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X0,X0))
& ? [X5,X6] :
( X4 = ordered_pair(X5,X6)
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( relation(X1)
& relation(X2)
& function(X2) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( X4 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) )
& X3 = X5
& ? [X8,X9] :
( X5 = ordered_pair(X8,X9)
& in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,cartesian_product2(X0,X0))
& X5 = X4
& ? [X10,X11] :
( X4 = ordered_pair(X10,X11)
& in(ordered_pair(apply(X2,X10),apply(X2,X11)),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_21__wellord2__1) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( relation(X1)
& relation(X2)
& function(X2) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( X4 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) )
& X3 = X5
& ? [X8,X9] :
( X5 = ordered_pair(X8,X9)
& in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1) ) )
=> X4 = X5 )
=> ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X13,X14) = X11
& in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1) ) ) ) ) ),
inference(rectify,[],[f21]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(X0,X0))
& ? [X5,X6] :
( X4 = ordered_pair(X5,X6)
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) ) )
& relation(X1)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(X0,X0))
& ? [X5,X6] :
( X4 = ordered_pair(X5,X6)
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) ) )
& relation(X1)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f26]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X13,X14) = X11
& in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( X4 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) )
& X3 = X5
& ? [X8,X9] :
( X5 = ordered_pair(X8,X9)
& in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1) ) )
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X13,X14) = X11
& in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( X4 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) )
& X3 = X5
& ? [X8,X9] :
( X5 = ordered_pair(X8,X9)
& in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1) ) )
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f36]) ).
fof(f38,definition,
! [X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( X4 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) )
& X3 = X5
& ? [X8,X9] :
( X5 = ordered_pair(X8,X9)
& in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1) ) )
| ~ sP0(X1,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X13,X14) = X11
& in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1) ) ) )
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(definition_folding,[],[f37,f38]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(X0,X0))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(X0,X0))
& ? [X5,X6] :
( X4 = ordered_pair(X5,X6)
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) )
| in(X4,X3) ) )
& relation(X1)
& relation(X2)
& function(X2) ),
inference(nnf_transformation,[],[f27]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(X0,X0))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(X0,X0))
& ? [X5,X6] :
( X4 = ordered_pair(X5,X6)
& in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) ) )
| in(X4,X3) ) )
& relation(X1)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(X0,X0))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(X0,X0))
& ? [X7,X8] :
( ordered_pair(X7,X8) = X4
& in(ordered_pair(apply(X2,X7),apply(X2,X8)),X1) ) )
| in(X4,X3) ) )
& relation(X1)
& relation(X2)
& function(X2) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
( ! [X3] :
( ( ~ in(sK4(X3),cartesian_product2(sK1,sK1))
| ! [X5,X6] :
( ordered_pair(X5,X6) != sK4(X3)
| ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2) )
| ~ in(sK4(X3),X3) )
& ( ( in(sK4(X3),cartesian_product2(sK1,sK1))
& sK4(X3) = ordered_pair(sK5(X3),sK6(X3))
& in(ordered_pair(apply(sK3,sK5(X3)),apply(sK3,sK6(X3))),sK2) )
| in(sK4(X3),X3) ) )
& relation(sK2)
& relation(sK3)
& function(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X4,sK4(X3)),skolemize(X7,sK5(X3)),skolemize(X8,sK6(X3))],[f42]) ).
fof(f52,plain,
! [X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( X4 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) )
& X3 = X5
& ? [X8,X9] :
( X5 = ordered_pair(X8,X9)
& in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1) ) )
| ~ sP0(X1,X2) ),
inference(nnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5,X6] :
( ordered_pair(X5,X6) = X3
& in(ordered_pair(apply(X1,X5),apply(X1,X6)),X0) )
& X2 = X4
& ? [X7,X8] :
( ordered_pair(X7,X8) = X4
& in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0) ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( sK16(X0,X1) != sK17(X0,X1)
& sK15(X0,X1) = sK16(X0,X1)
& sK16(X0,X1) = ordered_pair(sK18(X0,X1),sK19(X0,X1))
& in(ordered_pair(apply(X1,sK18(X0,X1)),apply(X1,sK19(X0,X1))),X0)
& sK15(X0,X1) = sK17(X0,X1)
& sK17(X0,X1) = ordered_pair(sK20(X0,X1),sK21(X0,X1))
& in(ordered_pair(apply(X1,sK20(X0,X1)),apply(X1,sK21(X0,X1))),X0) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20,sK21]),skolemize(X2,sK15(X0,X1)),skolemize(X3,sK16(X0,X1)),skolemize(X4,sK17(X0,X1)),skolemize(X5,sK18(X0,X1)),skolemize(X6,sK19(X0,X1)),skolemize(X7,sK20(X0,X1)),skolemize(X8,sK21(X0,X1))],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( ( in(X11,X10)
| ! [X12] :
( ~ in(X12,cartesian_product2(X0,X0))
| X11 != X12
| ! [X13,X14] :
( ordered_pair(X13,X14) != X11
| ~ in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1) ) ) )
& ( ? [X12] :
( in(X12,cartesian_product2(X0,X0))
& X11 = X12
& ? [X13,X14] :
( ordered_pair(X13,X14) = X11
& in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1) ) )
| ~ in(X11,X10) ) )
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(nnf_transformation,[],[f39]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,cartesian_product2(X0,X0))
| X4 != X5
| ! [X6,X7] :
( ordered_pair(X6,X7) != X4
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) ) ) )
& ( ? [X8] :
( in(X8,cartesian_product2(X0,X0))
& X4 = X8
& ? [X9,X10] :
( ordered_pair(X9,X10) = X4
& in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1) ) )
| ~ in(X4,X3) ) )
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK22(X0,X1,X2))
| ! [X5] :
( ~ in(X5,cartesian_product2(X0,X0))
| X4 != X5
| ! [X6,X7] :
( ordered_pair(X6,X7) != X4
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1) ) ) )
& ( ( in(sK23(X0,X1,X2,X4),cartesian_product2(X0,X0))
& sK23(X0,X1,X2,X4) = X4
& ordered_pair(sK24(X1,X2,X4),sK25(X1,X2,X4)) = X4
& in(ordered_pair(apply(X2,sK24(X1,X2,X4)),apply(X2,sK25(X1,X2,X4))),X1) )
| ~ in(X4,sK22(X0,X1,X2)) ) )
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25]),skolemize(X3,sK22(X0,X1,X2)),skolemize(X8,sK23(X0,X1,X2,X4)),skolemize(X9,sK24(X1,X2,X4)),skolemize(X10,sK25(X1,X2,X4))],[f56]) ).
fof(f58,plain,
function(sK3),
inference(cnf_transformation,[],[f43]) ).
fof(f59,plain,
relation(sK3),
inference(cnf_transformation,[],[f43]) ).
fof(f60,plain,
relation(sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f61,plain,
! [X3] :
( in(ordered_pair(apply(sK3,sK5(X3)),apply(sK3,sK6(X3))),sK2)
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X3] :
( in(sK4(X3),X3)
| sK4(X3) = ordered_pair(sK5(X3),sK6(X3)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
! [X3] :
( in(sK4(X3),cartesian_product2(sK1,sK1))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X3,X6,X5] :
( ordered_pair(X5,X6) != sK4(X3)
| ~ in(sK4(X3),cartesian_product2(sK1,sK1))
| ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2)
| ~ in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK15(X0,X1) = sK17(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f103,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK15(X0,X1) = sK16(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f104,plain,
! [X0,X1] :
( sK16(X0,X1) != sK17(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f105,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK22(X0,X1,X2))
| in(ordered_pair(apply(X2,sK24(X1,X2,X4)),apply(X2,sK25(X1,X2,X4))),X1)
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f106,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK22(X0,X1,X2))
| ordered_pair(sK24(X1,X2,X4),sK25(X1,X2,X4)) = X4
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f107,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK22(X0,X1,X2))
| sK23(X0,X1,X2,X4) = X4
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f108,plain,
! [X2,X0,X1,X4] :
( in(sK23(X0,X1,X2,X4),cartesian_product2(X0,X0))
| ~ in(X4,sK22(X0,X1,X2))
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f109,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK22(X0,X1,X2))
| ~ in(X5,cartesian_product2(X0,X0))
| X4 != X5
| ordered_pair(X6,X7) != X4
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f110,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK22(X0,X1,X2))
| ~ in(X5,cartesian_product2(X0,X0))
| ordered_pair(X6,X7) != X5
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(equality_resolution,[],[f109]) ).
fof(f111,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ~ in(ordered_pair(X6,X7),cartesian_product2(X0,X0))
| in(ordered_pair(X6,X7),sK22(X0,X1,X2))
| sP0(X1,X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(equality_resolution,[],[f110]) ).
fof(f1144,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK5(X0),sK6(X0)),cartesian_product2(X1,X1))
| in(ordered_pair(sK5(X0),sK6(X0)),sK22(X1,sK2,sK3))
| sP0(sK2,sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| in(sK4(X0),X0) ),
inference(resolution,[],[f111,f61]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK5(X0),sK6(X0)),cartesian_product2(X1,X1))
| in(ordered_pair(sK5(X0),sK6(X0)),sK22(X1,sK2,sK3))
| sP0(sK2,sK3)
| ~ relation(sK3)
| ~ function(sK3)
| in(sK4(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1144,f60]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK5(X0),sK6(X0)),cartesian_product2(X1,X1))
| in(ordered_pair(sK5(X0),sK6(X0)),sK22(X1,sK2,sK3))
| sP0(sK2,sK3)
| ~ function(sK3)
| in(sK4(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1150,f59]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK5(X0),sK6(X0)),cartesian_product2(X1,X1))
| in(ordered_pair(sK5(X0),sK6(X0)),sK22(X1,sK2,sK3))
| sP0(sK2,sK3)
| in(sK4(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1166,f58]) ).
fof(f1411,definition,
( spl26_122
<=> sP0(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl26_122])],[avatar_definition]) ).
fof(f1412,plain,
( ~ sP0(sK2,sK3)
| spl26_122 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1413,plain,
( sP0(sK2,sK3)
| ~ spl26_122 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1421,definition,
( spl26_125
<=> ! [X0,X1] :
( ~ in(ordered_pair(sK5(X0),sK6(X0)),cartesian_product2(X1,X1))
| in(sK4(X0),X0)
| in(ordered_pair(sK5(X0),sK6(X0)),sK22(X1,sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl26_125])],[avatar_definition]) ).
fof(f1422,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(sK5(X0),sK6(X0)),cartesian_product2(X1,X1))
| in(sK4(X0),X0)
| in(ordered_pair(sK5(X0),sK6(X0)),sK22(X1,sK2,sK3)) )
| ~ spl26_125 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1423,plain,
( spl26_122
| spl26_125 ),
inference(avatar_split_clause,[],[f1182,f1421,f1411]) ).
fof(f4184,plain,
( sK16(sK2,sK3) = sK15(sK2,sK3)
| ~ spl26_122 ),
inference(resolution,[],[f1413,f103]) ).
fof(f4185,plain,
( sK17(sK2,sK3) = sK15(sK2,sK3)
| ~ spl26_122 ),
inference(resolution,[],[f1413,f100]) ).
fof(f4186,plain,
( sK16(sK2,sK3) = sK17(sK2,sK3)
| ~ spl26_122 ),
inference(forward_demodulation,[],[f4185,f4184]) ).
fof(f4189,plain,
( sK16(sK2,sK3) != sK16(sK2,sK3)
| ~ sP0(sK2,sK3)
| ~ spl26_122 ),
inference(superposition,[],[f104,f4186]) ).
fof(f4190,plain,
( ~ sP0(sK2,sK3)
| ~ spl26_122 ),
inference(trivial_inequality_removal,[],[f4189]) ).
fof(f4191,plain,
( $false
| ~ spl26_122 ),
inference(forward_subsumption_resolution,[],[f4190,f1413]) ).
fof(f4192,plain,
~ spl26_122,
inference(avatar_contradiction_clause,[],[f4191]) ).
fof(f6421,definition,
( spl26_331
<=> sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl26_331])],[avatar_definition]) ).
fof(f6422,plain,
( sK4(sK22(sK1,sK2,sK3)) != sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| spl26_331 ),
inference(avatar_component_clause,[],[f6421]) ).
fof(f6423,plain,
( sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| ~ spl26_331 ),
inference(avatar_component_clause,[],[f6421]) ).
fof(f6425,definition,
( spl26_332
<=> in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl26_332])],[avatar_definition]) ).
fof(f6426,plain,
( ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| spl26_332 ),
inference(avatar_component_clause,[],[f6425]) ).
fof(f6427,plain,
( in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| ~ spl26_332 ),
inference(avatar_component_clause,[],[f6425]) ).
fof(f6429,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| sP0(sK2,sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| ~ spl26_331 ),
inference(superposition,[],[f108,f6423]) ).
fof(f6430,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| sP0(sK2,sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| ~ spl26_331 ),
inference(forward_subsumption_resolution,[],[f6429,f63]) ).
fof(f6431,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_331 ),
inference(forward_subsumption_resolution,[],[f6430,f1412]) ).
fof(f6432,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_331 ),
inference(forward_subsumption_resolution,[],[f6431,f60]) ).
fof(f6433,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ function(sK3)
| spl26_122
| ~ spl26_331 ),
inference(forward_subsumption_resolution,[],[f6432,f59]) ).
fof(f6434,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| spl26_122
| ~ spl26_331 ),
inference(forward_subsumption_resolution,[],[f6433,f58]) ).
fof(f6439,plain,
( sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| sP0(sK2,sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| ~ spl26_332 ),
inference(resolution,[],[f6427,f107]) ).
fof(f6440,plain,
( in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| sP0(sK2,sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| ~ spl26_332 ),
inference(resolution,[],[f6427,f105]) ).
fof(f6441,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| sP0(sK2,sK3)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| ~ spl26_332 ),
inference(resolution,[],[f6427,f106]) ).
fof(f6443,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6441,f1412]) ).
fof(f6444,plain,
( in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6440,f1412]) ).
fof(f6445,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6443,f60]) ).
fof(f6446,plain,
( in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6444,f60]) ).
fof(f6447,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6445,f59]) ).
fof(f6448,plain,
( in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6446,f59]) ).
fof(f6449,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6447,f58]) ).
fof(f6450,plain,
( in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6448,f58]) ).
fof(f6453,plain,
( ! [X0] :
( sK4(X0) != sK4(sK22(sK1,sK2,sK3))
| ~ in(sK4(X0),cartesian_product2(sK1,sK1))
| ~ in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| ~ in(sK4(X0),X0) )
| spl26_122
| ~ spl26_332 ),
inference(superposition,[],[f64,f6449]) ).
fof(f6454,plain,
( ! [X0] :
( sK4(X0) != sK4(sK22(sK1,sK2,sK3))
| ~ in(sK4(X0),cartesian_product2(sK1,sK1))
| ~ in(sK4(X0),X0) )
| spl26_122
| ~ spl26_332 ),
inference(global_subsumption,[],[f6453,f6450]) ).
fof(f6455,plain,
( ~ in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| spl26_122
| ~ spl26_332 ),
inference(equality_resolution,[],[f6454]) ).
fof(f6456,plain,
( ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| spl26_122
| ~ spl26_331
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6455,f6434]) ).
fof(f6457,plain,
( $false
| spl26_122
| ~ spl26_331
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6456,f6427]) ).
fof(f6458,plain,
( spl26_122
| ~ spl26_331
| ~ spl26_332 ),
inference(avatar_contradiction_clause,[],[f6457]) ).
fof(f6459,plain,
( sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| ~ relation(sK2)
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6439,f1412]) ).
fof(f6461,plain,
( sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| ~ relation(sK3)
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6459,f60]) ).
fof(f6462,plain,
( sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| ~ function(sK3)
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6461,f59]) ).
fof(f6463,plain,
( sK4(sK22(sK1,sK2,sK3)) = sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3)))
| spl26_122
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6462,f58]) ).
fof(f6470,plain,
( $false
| spl26_122
| spl26_331
| ~ spl26_332 ),
inference(forward_subsumption_resolution,[],[f6463,f6422]) ).
fof(f6471,plain,
( spl26_122
| spl26_331
| ~ spl26_332 ),
inference(avatar_contradiction_clause,[],[f6470]) ).
fof(f6472,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK5(sK22(sK1,sK2,sK3)),sK6(sK22(sK1,sK2,sK3)))
| spl26_332 ),
inference(resolution,[],[f6426,f62]) ).
fof(f6473,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| spl26_332 ),
inference(resolution,[],[f6426,f63]) ).
fof(f6475,plain,
( ! [X0] :
( ~ in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(X0,X0))
| in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| in(sK4(sK22(sK1,sK2,sK3)),sK22(X0,sK2,sK3)) )
| ~ spl26_125
| spl26_332 ),
inference(superposition,[],[f1422,f6472]) ).
fof(f6478,plain,
( ! [X0] :
( ~ in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(X0,X0))
| in(sK4(sK22(sK1,sK2,sK3)),sK22(X0,sK2,sK3)) )
| ~ spl26_125
| spl26_332 ),
inference(forward_subsumption_resolution,[],[f6475,f6426]) ).
fof(f6505,plain,
( in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| ~ spl26_125
| spl26_332 ),
inference(resolution,[],[f6478,f6473]) ).
fof(f6510,plain,
( $false
| ~ spl26_125
| spl26_332 ),
inference(forward_subsumption_resolution,[],[f6505,f6426]) ).
fof(f6511,plain,
( ~ spl26_125
| spl26_332 ),
inference(avatar_contradiction_clause,[],[f6510]) ).
cnf(s1060,plain,
( spl26_122
| spl26_125 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s2731,plain,
~ spl26_122,
inference(sat_conversion,[],[f4192]) ).
cnf(s3610,plain,
( spl26_122
| ~ spl26_331
| ~ spl26_332 ),
inference(sat_conversion,[],[f6458]) ).
cnf(s3617,plain,
( spl26_122
| spl26_331
| ~ spl26_332 ),
inference(sat_conversion,[],[f6471]) ).
cnf(s3638,plain,
( ~ spl26_125
| spl26_332 ),
inference(sat_conversion,[],[f6511]) ).
cnf(s3685,plain,
spl26_125,
inference(rat,[],[s1060,s2731]) ).
cnf(s3686,plain,
spl26_332,
inference(rat,[],[s3638,s3685]) ).
cnf(s3687,plain,
spl26_331,
inference(rat,[],[s3617,s2731,s3686]) ).
cnf(s3688,plain,
$false,
inference(rat,[],[s3610,s2731,s3686,s3687]) ).
fof(f6522,plain,
$false,
inference(avatar_sat_refutation,[],[s3688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU277+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n020.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 04:28:05 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.44 Running first-order model finding
% 0.10/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.47/0.74 % (4022436)Will run a generic schedule for satisfiability detection.
% 1.47/0.74 % (4022441)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2673890077_2999 on theBenchmark for (2999ds/0Mi)
% 1.47/0.74 % TRYING [1]
% 1.47/0.74 % TRYING [2]
% 1.47/0.74 % (4022442)% WARNING: option uhcvi not known.
% 1.47/0.74 % TRYING [3]
% 1.47/0.74 % (4022442)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4111304576:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.47/0.74 % (4022443)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3324714636:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.47/0.74 % (4022444)dis+10_1_sil=32000:sp=arity:random_seed=1931034567:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.47/0.74 % (4022445)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2572887316:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.47/0.74 % (4022446)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=897342437:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.47/0.74 % (4022447)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=183230899:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.47/0.74 % (4022444)Instruction limit reached!
% 1.47/0.74 % (4022444)------------------------------
% 1.47/0.74 % (4022444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022444)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022444)Termination reason: Instruction limit
% 1.47/0.74 % (4022444)Termination phase: Saturation
% 1.47/0.74 % (4022444)Time elapsed: 0.058 s
% 1.47/0.74 % (4022444)Peak memory usage: 12 MB
% 1.47/0.74 % (4022444)Instructions burned: 104 (million)
% 1.47/0.74 % (4022445)Instruction limit reached!
% 1.47/0.74 % (4022445)------------------------------
% 1.47/0.74 % (4022445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022445)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022445)Termination reason: Instruction limit
% 1.47/0.74 % (4022445)Termination phase: Saturation
% 1.47/0.74 % (4022445)Time elapsed: 0.062 s
% 1.47/0.74 % (4022445)Peak memory usage: 12 MB
% 1.47/0.74 % (4022445)Instructions burned: 116 (million)
% 1.47/0.74 % (4022446)Instruction limit reached!
% 1.47/0.74 % (4022446)------------------------------
% 1.47/0.74 % (4022446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022446)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022446)Termination reason: Instruction limit
% 1.47/0.74 % (4022446)Termination phase: Saturation
% 1.47/0.74 % (4022446)Time elapsed: 0.076 s
% 1.47/0.74 % (4022446)Peak memory usage: 13 MB
% 1.47/0.74 % (4022446)Instructions burned: 131 (million)
% 1.47/0.74 % (4022455)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=875335962:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.47/0.74 % (4022456)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1982619028:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.47/0.74 % TRYING [1]
% 1.47/0.74 % TRYING [2]
% 1.47/0.74 % TRYING [3]
% 1.47/0.74 % (4022457)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3604406127:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.47/0.74 % (4022447)Instruction limit reached!
% 1.47/0.74 % (4022447)------------------------------
% 1.47/0.74 % (4022447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022447)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022447)Termination reason: Instruction limit
% 1.47/0.74 % (4022447)Termination phase: Saturation
% 1.47/0.74 % (4022447)Time elapsed: 0.101 s
% 1.47/0.74 % (4022447)Peak memory usage: 14 MB
% 1.47/0.74 % (4022447)Instructions burned: 160 (million)
% 1.47/0.74 % (4022461)ott-21_1_sil=16000:fs=off:random_seed=2636443497:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.47/0.74 % (4022456)Instruction limit reached!
% 1.47/0.74 % (4022456)------------------------------
% 1.47/0.74 % (4022456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022456)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022456)Termination reason: Instruction limit
% 1.47/0.74 % (4022456)Termination phase: Saturation
% 1.47/0.74 % (4022456)Time elapsed: 0.081 s
% 1.47/0.74 % (4022456)Peak memory usage: 14 MB
% 1.47/0.74 % (4022456)Instructions burned: 132 (million)
% 1.47/0.74 % (4022463)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1639060433:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.47/0.74 % (4022461)Instruction limit reached!
% 1.47/0.74 % (4022461)------------------------------
% 1.47/0.74 % (4022461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022461)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022461)Termination reason: Instruction limit
% 1.47/0.74 % (4022461)Termination phase: Saturation
% 1.47/0.74 % (4022461)Time elapsed: 0.085 s
% 1.47/0.74 % (4022461)Peak memory usage: 12 MB
% 1.47/0.74 % (4022461)Instructions burned: 180 (million)
% 1.47/0.74 % (4022465)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3959799575:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.47/0.74 % TRYING [1]
% 1.47/0.74 % TRYING [2]
% 1.47/0.74 % TRYING [3]
% 1.47/0.74 % (4022443) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4022436-4022443"...
% 1.47/0.74 % (4022443)...printing done.
% 1.47/0.74 % (4022443)Refutation found. Thanks to Tanya!
% 1.47/0.74 % SZS status Theorem for theBenchmark
% 1.47/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.74 % (4022443)------------------------------
% 1.47/0.74 % (4022443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.74 % (4022443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.74 % (4022443)CaDiCaL version: 2.1.3
% 1.47/0.74 % (4022443)Termination reason: Refutation
% 1.47/0.74 % (4022443)Time elapsed: 0.256 s
% 1.47/0.74 % (4022443)Peak memory usage: 16 MB
% 1.47/0.74 % (4022443)Instructions burned: 394 (million)
% 1.47/0.74 % (4022436)Success in time 0.29 s
% 1.47/0.74 % Vampire exiting
%------------------------------------------------------------------------------