%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU286+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:48:10 PM UTC 2026
% Result : Theorem 73.87s 22.51s
% Output : Refutation 153.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 4
% Syntax : Number of formulae : 100 ( 7 unt; 1 def)
% Number of atoms : 785 ( 146 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 1038 ( 353 ~; 442 |; 217 &)
% ( 8 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 21 ( 11 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 3 con; 0-4 aty)
% Number of variables : 526 ( 386 !; 140 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f206,axiom,
! [X0,X1] :
( ( ~ empty(X0)
& relation(X1) )
=> ! [X2] :
( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X6 = X8
& in(X7,X8)
& ! [X9] :
( in(X9,X8)
=> in(ordered_pair(X7,X9),X1) ) ) )
& X3 = X5
& ? [X10,X11] :
( ordered_pair(X10,X11) = X5
& in(X10,X0)
& ? [X12] :
( X10 = X12
& in(X11,X12)
& ! [X13] :
( in(X13,X12)
=> in(ordered_pair(X11,X13),X1) ) ) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,cartesian_product2(X0,X2))
& X5 = X4
& ? [X14,X15] :
( ordered_pair(X14,X15) = X4
& in(X14,X0)
& ? [X16] :
( X14 = X16
& in(X15,X16)
& ! [X17] :
( in(X17,X16)
=> in(ordered_pair(X15,X17),X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e10_24__wellord2__2) ).
fof(f212,conjecture,
! [X0,X1] :
( ( ~ empty(X0)
& relation(X1) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X0,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(X8,X7)
=> in(ordered_pair(X6,X8),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e10_24__wellord2__1) ).
fof(f213,negated_conjecture,
~ ! [X0,X1] :
( ( ~ empty(X0)
& relation(X1) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(X0,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(X8,X7)
=> in(ordered_pair(X6,X8),X1) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f212]) ).
fof(f378,plain,
! [X0,X1] :
( ( ~ empty(X0)
& relation(X1) )
=> ! [X2] :
( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X6 = X8
& in(X7,X8)
& ! [X9] :
( in(X9,X8)
=> in(ordered_pair(X7,X9),X1) ) ) )
& X3 = X5
& ? [X10,X11] :
( ordered_pair(X10,X11) = X5
& in(X10,X0)
& ? [X12] :
( X10 = X12
& in(X11,X12)
& ! [X13] :
( in(X13,X12)
=> in(ordered_pair(X11,X13),X1) ) ) ) )
=> X4 = X5 )
=> ? [X14] :
! [X15] :
( in(X15,X14)
<=> ? [X16] :
( in(X16,cartesian_product2(X0,X2))
& X15 = X16
& ? [X17,X18] :
( ordered_pair(X17,X18) = X15
& in(X17,X0)
& ? [X19] :
( X17 = X19
& in(X18,X19)
& ! [X20] :
( in(X20,X19)
=> in(ordered_pair(X18,X20),X1) ) ) ) ) ) ) ),
inference(rectify,[],[f206]) ).
fof(f383,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(X0,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(ordered_pair(X6,X8),X1)
| ~ in(X8,X7) ) ) ) ) )
& ~ empty(X0)
& relation(X1) ),
inference(ennf_transformation,[],[f213]) ).
fof(f384,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(X0,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(ordered_pair(X6,X8),X1)
| ~ in(X8,X7) ) ) ) ) )
& ~ empty(X0)
& relation(X1) ),
inference(flattening,[],[f383]) ).
fof(f395,plain,
! [X0,X1] :
( ! [X2] :
( ? [X14] :
! [X15] :
( in(X15,X14)
<=> ? [X16] :
( in(X16,cartesian_product2(X0,X2))
& X15 = X16
& ? [X17,X18] :
( ordered_pair(X17,X18) = X15
& in(X17,X0)
& ? [X19] :
( X17 = X19
& in(X18,X19)
& ! [X20] :
( in(ordered_pair(X18,X20),X1)
| ~ in(X20,X19) ) ) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X6 = X8
& in(X7,X8)
& ! [X9] :
( in(ordered_pair(X7,X9),X1)
| ~ in(X9,X8) ) ) )
& X3 = X5
& ? [X10,X11] :
( ordered_pair(X10,X11) = X5
& in(X10,X0)
& ? [X12] :
( X10 = X12
& in(X11,X12)
& ! [X13] :
( in(ordered_pair(X11,X13),X1)
| ~ in(X13,X12) ) ) ) ) )
| empty(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f378]) ).
fof(f396,plain,
! [X0,X1] :
( ! [X2] :
( ? [X14] :
! [X15] :
( in(X15,X14)
<=> ? [X16] :
( in(X16,cartesian_product2(X0,X2))
& X15 = X16
& ? [X17,X18] :
( ordered_pair(X17,X18) = X15
& in(X17,X0)
& ? [X19] :
( X17 = X19
& in(X18,X19)
& ! [X20] :
( in(ordered_pair(X18,X20),X1)
| ~ in(X20,X19) ) ) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X6 = X8
& in(X7,X8)
& ! [X9] :
( in(ordered_pair(X7,X9),X1)
| ~ in(X9,X8) ) ) )
& X3 = X5
& ? [X10,X11] :
( ordered_pair(X10,X11) = X5
& in(X10,X0)
& ? [X12] :
( X10 = X12
& in(X11,X12)
& ! [X13] :
( in(ordered_pair(X11,X13),X1)
| ~ in(X13,X12) ) ) ) ) )
| empty(X0)
| ~ relation(X1) ),
inference(flattening,[],[f395]) ).
fof(f466,definition,
! [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X6 = X8
& in(X7,X8)
& ! [X9] :
( in(ordered_pair(X7,X9),X1)
| ~ in(X9,X8) ) ) )
& X3 = X5
& ? [X10,X11] :
( ordered_pair(X10,X11) = X5
& in(X10,X0)
& ? [X12] :
( X10 = X12
& in(X11,X12)
& ! [X13] :
( in(ordered_pair(X11,X13),X1)
| ~ in(X13,X12) ) ) ) )
| ~ sP2(X0,X1) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f467,plain,
! [X0,X1] :
( ! [X2] :
( ? [X14] :
! [X15] :
( in(X15,X14)
<=> ? [X16] :
( in(X16,cartesian_product2(X0,X2))
& X15 = X16
& ? [X17,X18] :
( ordered_pair(X17,X18) = X15
& in(X17,X0)
& ? [X19] :
( X17 = X19
& in(X18,X19)
& ! [X20] :
( in(ordered_pair(X18,X20),X1)
| ~ in(X20,X19) ) ) ) ) )
| sP2(X0,X1) )
| empty(X0)
| ~ relation(X1) ),
inference(definition_folding,[],[f396,f466]) ).
fof(f474,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(X0,X2))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(X5,X0)
| ! [X7] :
( X5 != X7
| ~ in(X6,X7)
| ? [X8] :
( ~ in(ordered_pair(X6,X8),X1)
& in(X8,X7) ) ) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(X0,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(ordered_pair(X6,X8),X1)
| ~ in(X8,X7) ) ) ) )
| in(X4,X3) ) )
& ~ empty(X0)
& relation(X1) ),
inference(nnf_transformation,[],[f384]) ).
fof(f475,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(X0,X2))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(X5,X0)
| ! [X7] :
( X5 != X7
| ~ in(X6,X7)
| ? [X8] :
( ~ in(ordered_pair(X6,X8),X1)
& in(X8,X7) ) ) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(X0,X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(ordered_pair(X6,X8),X1)
| ~ in(X8,X7) ) ) ) )
| in(X4,X3) ) )
& ~ empty(X0)
& relation(X1) ),
inference(flattening,[],[f474]) ).
fof(f476,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(X0,X2))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(X5,X0)
| ! [X7] :
( X5 != X7
| ~ in(X6,X7)
| ? [X8] :
( ~ in(ordered_pair(X6,X8),X1)
& in(X8,X7) ) ) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(X0,X2))
& ? [X9,X10] :
( ordered_pair(X9,X10) = X4
& in(X9,X0)
& ? [X11] :
( X9 = X11
& in(X10,X11)
& ! [X12] :
( in(ordered_pair(X10,X12),X1)
| ~ in(X12,X11) ) ) ) )
| in(X4,X3) ) )
& ~ empty(X0)
& relation(X1) ),
inference(rectify,[],[f475]) ).
fof(f477,plain,
( ! [X3] :
( ( ~ in(sK9(X3),cartesian_product2(sK6,sK8))
| ! [X5,X6] :
( ordered_pair(X5,X6) != sK9(X3)
| ~ in(X5,sK6)
| ! [X7] :
( X5 != X7
| ~ in(X6,X7)
| ( ~ in(ordered_pair(X6,sK10(X6,X7)),sK7)
& in(sK10(X6,X7),X7) ) ) )
| ~ in(sK9(X3),X3) )
& ( ( in(sK9(X3),cartesian_product2(sK6,sK8))
& sK9(X3) = ordered_pair(sK11(X3),sK12(X3))
& in(sK11(X3),sK6)
& sK11(X3) = sK13(X3)
& in(sK12(X3),sK13(X3))
& ! [X12] :
( in(ordered_pair(sK12(X3),X12),sK7)
| ~ in(X12,sK13(X3)) ) )
| in(sK9(X3),X3) ) )
& ~ empty(sK6)
& relation(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X4,sK9(X3)),skolemize(X8,sK10(X6,X7)),skolemize(X9,sK11(X3)),skolemize(X10,sK12(X3)),skolemize(X11,sK13(X3))],[f476]) ).
fof(f500,plain,
! [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X6 = X8
& in(X7,X8)
& ! [X9] :
( in(ordered_pair(X7,X9),X1)
| ~ in(X9,X8) ) ) )
& X3 = X5
& ? [X10,X11] :
( ordered_pair(X10,X11) = X5
& in(X10,X0)
& ? [X12] :
( X10 = X12
& in(X11,X12)
& ! [X13] :
( in(ordered_pair(X11,X13),X1)
| ~ in(X13,X12) ) ) ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f466]) ).
fof(f501,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5,X6] :
( ordered_pair(X5,X6) = X3
& in(X5,X0)
& ? [X7] :
( X5 = X7
& in(X6,X7)
& ! [X8] :
( in(ordered_pair(X6,X8),X1)
| ~ in(X8,X7) ) ) )
& X2 = X4
& ? [X9,X10] :
( ordered_pair(X9,X10) = X4
& in(X9,X0)
& ? [X11] :
( X9 = X11
& in(X10,X11)
& ! [X12] :
( in(ordered_pair(X10,X12),X1)
| ~ in(X12,X11) ) ) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f500]) ).
fof(f502,plain,
! [X0,X1] :
( ( sK43(X0,X1) != sK44(X0,X1)
& sK42(X0,X1) = sK43(X0,X1)
& sK43(X0,X1) = ordered_pair(sK45(X0,X1),sK46(X0,X1))
& in(sK45(X0,X1),X0)
& sK45(X0,X1) = sK47(X0,X1)
& in(sK46(X0,X1),sK47(X0,X1))
& ! [X8] :
( in(ordered_pair(sK46(X0,X1),X8),X1)
| ~ in(X8,sK47(X0,X1)) )
& sK42(X0,X1) = sK44(X0,X1)
& sK44(X0,X1) = ordered_pair(sK48(X0,X1),sK49(X0,X1))
& in(sK48(X0,X1),X0)
& sK48(X0,X1) = sK50(X0,X1)
& in(sK49(X0,X1),sK50(X0,X1))
& ! [X12] :
( in(ordered_pair(sK49(X0,X1),X12),X1)
| ~ in(X12,sK50(X0,X1)) ) )
| ~ sP2(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50]),skolemize(X2,sK42(X0,X1)),skolemize(X3,sK43(X0,X1)),skolemize(X4,sK44(X0,X1)),skolemize(X5,sK45(X0,X1)),skolemize(X6,sK46(X0,X1)),skolemize(X7,sK47(X0,X1)),skolemize(X9,sK48(X0,X1)),skolemize(X10,sK49(X0,X1)),skolemize(X11,sK50(X0,X1))],[f501]) ).
fof(f503,plain,
! [X0,X1] :
( ! [X2] :
( ? [X14] :
! [X15] :
( ( in(X15,X14)
| ! [X16] :
( ~ in(X16,cartesian_product2(X0,X2))
| X15 != X16
| ! [X17,X18] :
( ordered_pair(X17,X18) != X15
| ~ in(X17,X0)
| ! [X19] :
( X17 != X19
| ~ in(X18,X19)
| ? [X20] :
( ~ in(ordered_pair(X18,X20),X1)
& in(X20,X19) ) ) ) ) )
& ( ? [X16] :
( in(X16,cartesian_product2(X0,X2))
& X15 = X16
& ? [X17,X18] :
( ordered_pair(X17,X18) = X15
& in(X17,X0)
& ? [X19] :
( X17 = X19
& in(X18,X19)
& ! [X20] :
( in(ordered_pair(X18,X20),X1)
| ~ in(X20,X19) ) ) ) )
| ~ in(X15,X14) ) )
| sP2(X0,X1) )
| empty(X0)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f467]) ).
fof(f504,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,cartesian_product2(X0,X2))
| X4 != X5
| ! [X6,X7] :
( ordered_pair(X6,X7) != X4
| ~ in(X6,X0)
| ! [X8] :
( X6 != X8
| ~ in(X7,X8)
| ? [X9] :
( ~ in(ordered_pair(X7,X9),X1)
& in(X9,X8) ) ) ) ) )
& ( ? [X10] :
( in(X10,cartesian_product2(X0,X2))
& X4 = X10
& ? [X11,X12] :
( ordered_pair(X11,X12) = X4
& in(X11,X0)
& ? [X13] :
( X11 = X13
& in(X12,X13)
& ! [X14] :
( in(ordered_pair(X12,X14),X1)
| ~ in(X14,X13) ) ) ) )
| ~ in(X4,X3) ) )
| sP2(X0,X1) )
| empty(X0)
| ~ relation(X1) ),
inference(rectify,[],[f503]) ).
fof(f505,plain,
! [X0,X1] :
( ! [X2] :
( ! [X4] :
( ( in(X4,sK51(X0,X1,X2))
| ! [X5] :
( ~ in(X5,cartesian_product2(X0,X2))
| X4 != X5
| ! [X6,X7] :
( ordered_pair(X6,X7) != X4
| ~ in(X6,X0)
| ! [X8] :
( X6 != X8
| ~ in(X7,X8)
| ( ~ in(ordered_pair(X7,sK52(X1,X7,X8)),X1)
& in(sK52(X1,X7,X8),X8) ) ) ) ) )
& ( ( in(sK53(X0,X1,X2,X4),cartesian_product2(X0,X2))
& sK53(X0,X1,X2,X4) = X4
& ordered_pair(sK54(X0,X1,X4),sK55(X0,X1,X4)) = X4
& in(sK54(X0,X1,X4),X0)
& sK54(X0,X1,X4) = sK56(X0,X1,X4)
& in(sK55(X0,X1,X4),sK56(X0,X1,X4))
& ! [X14] :
( in(ordered_pair(sK55(X0,X1,X4),X14),X1)
| ~ in(X14,sK56(X0,X1,X4)) ) )
| ~ in(X4,sK51(X0,X1,X2)) ) )
| sP2(X0,X1) )
| empty(X0)
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55,sK56]),skolemize(X3,sK51(X0,X1,X2)),skolemize(X9,sK52(X1,X7,X8)),skolemize(X10,sK53(X0,X1,X2,X4)),skolemize(X11,sK54(X0,X1,X4)),skolemize(X12,sK55(X0,X1,X4)),skolemize(X13,sK56(X0,X1,X4))],[f504]) ).
fof(f506,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f175]) ).
fof(f507,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f506]) ).
fof(f590,plain,
relation(sK7),
inference(cnf_transformation,[],[f477]) ).
fof(f591,plain,
~ empty(sK6),
inference(cnf_transformation,[],[f477]) ).
fof(f592,plain,
! [X3,X12] :
( in(ordered_pair(sK12(X3),X12),sK7)
| ~ in(X12,sK13(X3))
| in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f593,plain,
! [X3] :
( in(sK12(X3),sK13(X3))
| in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f594,plain,
! [X3] :
( sK11(X3) = sK13(X3)
| in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f596,plain,
! [X3] :
( sK9(X3) = ordered_pair(sK11(X3),sK12(X3))
| in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f597,plain,
! [X3] :
( in(sK9(X3),cartesian_product2(sK6,sK8))
| in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f598,plain,
! [X3,X6,X7,X5] :
( ~ in(sK9(X3),cartesian_product2(sK6,sK8))
| ordered_pair(X5,X6) != sK9(X3)
| ~ in(X5,sK6)
| X5 != X7
| ~ in(X6,X7)
| in(sK10(X6,X7),X7)
| ~ in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f599,plain,
! [X3,X6,X7,X5] :
( ~ in(sK9(X3),cartesian_product2(sK6,sK8))
| ordered_pair(X5,X6) != sK9(X3)
| ~ in(X5,sK6)
| X5 != X7
| ~ in(X6,X7)
| ~ in(ordered_pair(X6,sK10(X6,X7)),sK7)
| ~ in(sK9(X3),X3) ),
inference(cnf_transformation,[],[f477]) ).
fof(f648,plain,
! [X0,X1] :
( sK42(X0,X1) = sK44(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f654,plain,
! [X0,X1] :
( sK42(X0,X1) = sK43(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f655,plain,
! [X0,X1] :
( sK43(X0,X1) != sK44(X0,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f656,plain,
! [X2,X0,X1,X14,X4] :
( in(ordered_pair(sK55(X0,X1,X4),X14),X1)
| ~ in(X14,sK56(X0,X1,X4))
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f657,plain,
! [X2,X0,X1,X4] :
( in(sK55(X0,X1,X4),sK56(X0,X1,X4))
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f658,plain,
! [X2,X0,X1,X4] :
( sK54(X0,X1,X4) = sK56(X0,X1,X4)
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f660,plain,
! [X2,X0,X1,X4] :
( ordered_pair(sK54(X0,X1,X4),sK55(X0,X1,X4)) = X4
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f661,plain,
! [X2,X0,X1,X4] :
( sK53(X0,X1,X2,X4) = X4
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f662,plain,
! [X2,X0,X1,X4] :
( in(sK53(X0,X1,X2,X4),cartesian_product2(X0,X2))
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f663,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( in(X4,sK51(X0,X1,X2))
| ~ in(X5,cartesian_product2(X0,X2))
| X4 != X5
| ordered_pair(X6,X7) != X4
| ~ in(X6,X0)
| X6 != X8
| ~ in(X7,X8)
| in(sK52(X1,X7,X8),X8)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f664,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( in(X4,sK51(X0,X1,X2))
| ~ in(X5,cartesian_product2(X0,X2))
| X4 != X5
| ordered_pair(X6,X7) != X4
| ~ in(X6,X0)
| X6 != X8
| ~ in(X7,X8)
| ~ in(ordered_pair(X7,sK52(X1,X7,X8)),X1)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f505]) ).
fof(f666,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f507]) ).
fof(f852,plain,
! [X3,X6,X7] :
( sK9(X3) != ordered_pair(X7,X6)
| ~ in(sK9(X3),cartesian_product2(sK6,sK8))
| ~ in(X7,sK6)
| ~ in(X6,X7)
| ~ in(ordered_pair(X6,sK10(X6,X7)),sK7)
| ~ in(sK9(X3),X3) ),
inference(equality_resolution,[],[f599]) ).
fof(f853,plain,
! [X3,X6,X7] :
( sK9(X3) != ordered_pair(X7,X6)
| ~ in(sK9(X3),cartesian_product2(sK6,sK8))
| ~ in(X7,sK6)
| ~ in(X6,X7)
| in(sK10(X6,X7),X7)
| ~ in(sK9(X3),X3) ),
inference(equality_resolution,[],[f598]) ).
fof(f862,plain,
! [X2,X0,X1,X8,X6,X7,X5] :
( in(X5,sK51(X0,X1,X2))
| ~ in(X5,cartesian_product2(X0,X2))
| ordered_pair(X6,X7) != X5
| ~ in(X6,X0)
| X6 != X8
| ~ in(X7,X8)
| ~ in(ordered_pair(X7,sK52(X1,X7,X8)),X1)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f664]) ).
fof(f863,plain,
! [X2,X0,X1,X8,X6,X7] :
( in(ordered_pair(X6,X7),sK51(X0,X1,X2))
| ~ in(ordered_pair(X6,X7),cartesian_product2(X0,X2))
| ~ in(X6,X0)
| X6 != X8
| ~ in(X7,X8)
| ~ in(ordered_pair(X7,sK52(X1,X7,X8)),X1)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f862]) ).
fof(f864,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X8,X7),sK51(X0,X1,X2))
| ~ in(ordered_pair(X8,X7),cartesian_product2(X0,X2))
| ~ in(X8,X0)
| ~ in(X7,X8)
| ~ in(ordered_pair(X7,sK52(X1,X7,X8)),X1)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f863]) ).
fof(f865,plain,
! [X2,X0,X1,X8,X6,X7,X5] :
( in(X5,sK51(X0,X1,X2))
| ~ in(X5,cartesian_product2(X0,X2))
| ordered_pair(X6,X7) != X5
| ~ in(X6,X0)
| X6 != X8
| ~ in(X7,X8)
| in(sK52(X1,X7,X8),X8)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f663]) ).
fof(f866,plain,
! [X2,X0,X1,X8,X6,X7] :
( in(ordered_pair(X6,X7),sK51(X0,X1,X2))
| ~ in(ordered_pair(X6,X7),cartesian_product2(X0,X2))
| ~ in(X6,X0)
| X6 != X8
| ~ in(X7,X8)
| in(sK52(X1,X7,X8),X8)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f865]) ).
fof(f867,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X8,X7),sK51(X0,X1,X2))
| ~ in(ordered_pair(X8,X7),cartesian_product2(X0,X2))
| ~ in(X8,X0)
| ~ in(X7,X8)
| in(sK52(X1,X7,X8),X8)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f866]) ).
fof(f912,plain,
! [X2,X0,X1,X4] :
( in(sK55(X0,X1,X4),sK54(X0,X1,X4))
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(backward_subsumption_demodulation,[],[f657,f658]) ).
fof(f913,plain,
! [X2,X0,X1,X14,X4] :
( in(ordered_pair(sK55(X0,X1,X4),X14),X1)
| ~ in(X14,sK54(X0,X1,X4))
| ~ in(X4,sK51(X0,X1,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(backward_subsumption_demodulation,[],[f656,f658]) ).
fof(f914,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK51(X0,X1,X2))
| in(X4,cartesian_product2(X0,X2))
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(forward_subsumption_demodulation,[],[f662,f661]) ).
fof(f915,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X8,X7),sK51(X0,X1,X2))
| ~ in(ordered_pair(X8,X7),cartesian_product2(X0,X2))
| ~ in(X7,X8)
| in(sK52(X1,X7,X8),X8)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f867,f666]) ).
fof(f916,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X8,X7),sK51(X0,X1,X2))
| ~ in(ordered_pair(X8,X7),cartesian_product2(X0,X2))
| ~ in(X7,X8)
| ~ in(ordered_pair(X7,sK52(X1,X7,X8)),X1)
| sP2(X0,X1)
| empty(X0)
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f864,f666]) ).
fof(f921,plain,
! [X0,X1] :
( sK43(X0,X1) = sK44(X0,X1)
| ~ sP2(X0,X1) ),
inference(backward_subsumption_demodulation,[],[f648,f654]) ).
fof(f928,plain,
! [X3] :
( in(sK12(X3),sK11(X3))
| in(sK9(X3),X3) ),
inference(backward_subsumption_demodulation,[],[f593,f594]) ).
fof(f929,plain,
! [X3,X12] :
( in(ordered_pair(sK12(X3),X12),sK7)
| ~ in(X12,sK11(X3))
| in(sK9(X3),X3) ),
inference(backward_subsumption_demodulation,[],[f592,f594]) ).
fof(f933,plain,
! [X0,X1] : ~ sP2(X0,X1),
inference(forward_subsumption_resolution,[],[f921,f655]) ).
fof(f938,plain,
! [X2,X3,X0,X1] :
( in(sK9(X0),sK51(X1,X2,X3))
| ~ in(sK9(X0),cartesian_product2(X1,X3))
| ~ in(sK12(X0),sK11(X0))
| ~ in(ordered_pair(sK12(X0),sK52(X2,sK12(X0),sK11(X0))),X2)
| sP2(X1,X2)
| empty(X1)
| ~ relation(X2)
| in(sK9(X0),X0) ),
inference(superposition,[],[f916,f596]) ).
fof(f940,plain,
! [X2,X3,X0,X1] :
( in(sK9(X0),sK51(X1,X2,X3))
| ~ in(sK9(X0),cartesian_product2(X1,X3))
| ~ in(ordered_pair(sK12(X0),sK52(X2,sK12(X0),sK11(X0))),X2)
| sP2(X1,X2)
| empty(X1)
| ~ relation(X2)
| in(sK9(X0),X0) ),
inference(forward_subsumption_resolution,[],[f938,f928]) ).
fof(f943,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK12(X0),sK52(X2,sK12(X0),sK11(X0))),X2)
| ~ in(sK9(X0),cartesian_product2(X1,X3))
| in(sK9(X0),sK51(X1,X2,X3))
| empty(X1)
| ~ relation(X2)
| in(sK9(X0),X0) ),
inference(forward_subsumption_resolution,[],[f940,f933]) ).
fof(f959,plain,
! [X2,X3,X0,X1,X4] :
( sK9(X1) != X0
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK54(X2,X3,X0),sK6)
| ~ in(sK55(X2,X3,X0),sK54(X2,X3,X0))
| in(sK10(sK55(X2,X3,X0),sK54(X2,X3,X0)),sK54(X2,X3,X0))
| ~ in(sK9(X1),X1)
| ~ in(X0,sK51(X2,X3,X4))
| sP2(X2,X3)
| empty(X2)
| ~ relation(X3) ),
inference(superposition,[],[f853,f660]) ).
fof(f960,plain,
! [X2,X3,X0,X1,X4] :
( sK9(X1) != X0
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK54(X2,X3,X0),sK6)
| ~ in(sK55(X2,X3,X0),sK54(X2,X3,X0))
| ~ in(ordered_pair(sK55(X2,X3,X0),sK10(sK55(X2,X3,X0),sK54(X2,X3,X0))),sK7)
| ~ in(sK9(X1),X1)
| ~ in(X0,sK51(X2,X3,X4))
| sP2(X2,X3)
| empty(X2)
| ~ relation(X3) ),
inference(superposition,[],[f852,f660]) ).
fof(f965,plain,
! [X2,X3,X0,X1,X4] :
( sK9(X1) != X0
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK54(X2,X3,X0),sK6)
| ~ in(ordered_pair(sK55(X2,X3,X0),sK10(sK55(X2,X3,X0),sK54(X2,X3,X0))),sK7)
| ~ in(sK9(X1),X1)
| ~ in(X0,sK51(X2,X3,X4))
| sP2(X2,X3)
| empty(X2)
| ~ relation(X3) ),
inference(forward_subsumption_resolution,[],[f960,f912]) ).
fof(f966,plain,
! [X2,X3,X0,X1,X4] :
( sK9(X1) != X0
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK54(X2,X3,X0),sK6)
| in(sK10(sK55(X2,X3,X0),sK54(X2,X3,X0)),sK54(X2,X3,X0))
| ~ in(sK9(X1),X1)
| ~ in(X0,sK51(X2,X3,X4))
| sP2(X2,X3)
| empty(X2)
| ~ relation(X3) ),
inference(forward_subsumption_resolution,[],[f959,f912]) ).
fof(f968,plain,
! [X2,X3,X0,X1,X4] :
( sK9(X1) != X0
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK54(X2,X3,X0),sK6)
| ~ in(ordered_pair(sK55(X2,X3,X0),sK10(sK55(X2,X3,X0),sK54(X2,X3,X0))),sK7)
| ~ in(sK9(X1),X1)
| ~ in(X0,sK51(X2,X3,X4))
| empty(X2)
| ~ relation(X3) ),
inference(forward_subsumption_resolution,[],[f965,f933]) ).
fof(f969,plain,
! [X2,X3,X0,X1,X4] :
( sK9(X1) != X0
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK54(X2,X3,X0),sK6)
| in(sK10(sK55(X2,X3,X0),sK54(X2,X3,X0)),sK54(X2,X3,X0))
| ~ in(sK9(X1),X1)
| ~ in(X0,sK51(X2,X3,X4))
| empty(X2)
| ~ relation(X3) ),
inference(forward_subsumption_resolution,[],[f966,f933]) ).
fof(f971,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(sK55(X1,X2,sK9(X0)),sK10(sK55(X1,X2,sK9(X0)),sK54(X1,X2,sK9(X0)))),sK7)
| ~ in(sK54(X1,X2,sK9(X0)),sK6)
| ~ in(sK9(X0),cartesian_product2(sK6,sK8))
| ~ in(sK9(X0),X0)
| ~ in(sK9(X0),sK51(X1,X2,X3))
| empty(X1)
| ~ relation(X2) ),
inference(equality_resolution,[],[f968]) ).
fof(f972,plain,
! [X2,X3,X0,X1] :
( in(sK10(sK55(X1,X2,sK9(X0)),sK54(X1,X2,sK9(X0))),sK54(X1,X2,sK9(X0)))
| ~ in(sK54(X1,X2,sK9(X0)),sK6)
| ~ in(sK9(X0),cartesian_product2(sK6,sK8))
| ~ in(sK9(X0),X0)
| ~ in(sK9(X0),sK51(X1,X2,X3))
| empty(X1)
| ~ relation(X2) ),
inference(equality_resolution,[],[f969]) ).
fof(f974,plain,
! [X2,X3,X0,X1] :
( in(sK9(X0),sK51(X1,X2,X3))
| ~ in(sK9(X0),cartesian_product2(X1,X3))
| ~ in(sK12(X0),sK11(X0))
| in(sK52(X2,sK12(X0),sK11(X0)),sK11(X0))
| sP2(X1,X2)
| empty(X1)
| ~ relation(X2)
| in(sK9(X0),X0) ),
inference(superposition,[],[f915,f596]) ).
fof(f979,plain,
! [X2,X3,X0,X1] :
( in(sK9(X0),sK51(X1,X2,X3))
| ~ in(sK9(X0),cartesian_product2(X1,X3))
| in(sK52(X2,sK12(X0),sK11(X0)),sK11(X0))
| sP2(X1,X2)
| empty(X1)
| ~ relation(X2)
| in(sK9(X0),X0) ),
inference(forward_subsumption_resolution,[],[f974,f928]) ).
fof(f982,plain,
! [X2,X3,X0,X1] :
( in(sK52(X2,sK12(X0),sK11(X0)),sK11(X0))
| ~ in(sK9(X0),cartesian_product2(X1,X3))
| in(sK9(X0),sK51(X1,X2,X3))
| empty(X1)
| ~ relation(X2)
| in(sK9(X0),X0) ),
inference(forward_subsumption_resolution,[],[f979,f933]) ).
fof(f993,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(X0,cartesian_product2(X3,X4))
| in(sK54(X1,X2,X0),X3)
| ~ in(X0,sK51(X1,X2,X5))
| sP2(X1,X2)
| empty(X1)
| ~ relation(X2) ),
inference(superposition,[],[f666,f660]) ).
fof(f994,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(X0,cartesian_product2(X3,X4))
| in(sK54(X1,X2,X0),X3)
| ~ in(X0,sK51(X1,X2,X5))
| empty(X1)
| ~ relation(X2) ),
inference(forward_subsumption_resolution,[],[f993,f933]) ).
fof(f995,plain,
! [X2,X0,X1] :
( ~ in(sK52(sK7,sK12(X0),sK11(X0)),sK11(X0))
| in(sK9(X0),X0)
| ~ in(sK9(X0),cartesian_product2(X1,X2))
| in(sK9(X0),sK51(X1,sK7,X2))
| empty(X1)
| ~ relation(sK7)
| in(sK9(X0),X0) ),
inference(resolution,[],[f929,f943]) ).
fof(f996,plain,
! [X2,X0,X1] :
( ~ in(sK52(sK7,sK12(X0),sK11(X0)),sK11(X0))
| in(sK9(X0),X0)
| ~ in(sK9(X0),cartesian_product2(X1,X2))
| in(sK9(X0),sK51(X1,sK7,X2))
| empty(X1)
| ~ relation(sK7) ),
inference(duplicate_literal_removal,[],[f995]) ).
fof(f997,plain,
! [X2,X0,X1] :
( in(sK9(X0),X0)
| ~ in(sK9(X0),cartesian_product2(X1,X2))
| in(sK9(X0),sK51(X1,sK7,X2))
| empty(X1)
| ~ relation(sK7) ),
inference(forward_subsumption_resolution,[],[f996,f982]) ).
fof(f998,plain,
! [X2,X0,X1] :
( in(sK9(X0),sK51(X1,sK7,X2))
| ~ in(sK9(X0),cartesian_product2(X1,X2))
| in(sK9(X0),X0)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f997,f590]) ).
fof(f1011,plain,
! [X2,X3,X0,X1] :
( ~ in(sK10(sK55(X0,sK7,sK9(X1)),sK54(X0,sK7,sK9(X1))),sK54(X0,sK7,sK9(X1)))
| ~ in(sK9(X1),sK51(X0,sK7,X2))
| sP2(X0,sK7)
| empty(X0)
| ~ relation(sK7)
| ~ in(sK54(X0,sK7,sK9(X1)),sK6)
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK9(X1),X1)
| ~ in(sK9(X1),sK51(X0,sK7,X3))
| empty(X0)
| ~ relation(sK7) ),
inference(resolution,[],[f913,f971]) ).
fof(f1017,plain,
! [X2,X3,X0,X1] :
( ~ in(sK10(sK55(X0,sK7,sK9(X1)),sK54(X0,sK7,sK9(X1))),sK54(X0,sK7,sK9(X1)))
| ~ in(sK9(X1),sK51(X0,sK7,X2))
| sP2(X0,sK7)
| empty(X0)
| ~ relation(sK7)
| ~ in(sK54(X0,sK7,sK9(X1)),sK6)
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK9(X1),X1)
| ~ in(sK9(X1),sK51(X0,sK7,X3)) ),
inference(duplicate_literal_removal,[],[f1011]) ).
fof(f1023,plain,
! [X2,X3,X0,X1] :
( ~ in(sK9(X1),sK51(X0,sK7,X2))
| sP2(X0,sK7)
| empty(X0)
| ~ relation(sK7)
| ~ in(sK54(X0,sK7,sK9(X1)),sK6)
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK9(X1),X1)
| ~ in(sK9(X1),sK51(X0,sK7,X3)) ),
inference(forward_subsumption_resolution,[],[f1017,f972]) ).
fof(f1026,plain,
! [X2,X3,X0,X1] :
( ~ in(sK9(X1),sK51(X0,sK7,X2))
| sP2(X0,sK7)
| empty(X0)
| ~ relation(sK7)
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK9(X1),X1)
| ~ in(sK9(X1),sK51(X0,sK7,X3)) ),
inference(forward_subsumption_resolution,[],[f1023,f994]) ).
fof(f1027,plain,
! [X2,X3,X0,X1] :
( ~ in(sK9(X1),sK51(X0,sK7,X2))
| sP2(X0,sK7)
| empty(X0)
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK9(X1),X1)
| ~ in(sK9(X1),sK51(X0,sK7,X3)) ),
inference(forward_subsumption_resolution,[],[f1026,f590]) ).
fof(f1028,plain,
! [X2,X3,X0,X1] :
( ~ in(sK9(X1),sK51(X0,sK7,X3))
| empty(X0)
| ~ in(sK9(X1),cartesian_product2(sK6,sK8))
| ~ in(sK9(X1),X1)
| ~ in(sK9(X1),sK51(X0,sK7,X2)) ),
inference(forward_subsumption_resolution,[],[f1027,f933]) ).
fof(f1031,plain,
! [X2,X0,X1] :
( ~ in(sK9(X0),sK51(X1,sK7,X2))
| empty(X1)
| ~ in(sK9(X0),cartesian_product2(sK6,sK8))
| ~ in(sK9(X0),X0) ),
inference(factoring,[],[f1028]) ).
fof(f1034,plain,
! [X0,X1] :
( ~ in(sK9(sK51(X0,sK7,X1)),sK51(X0,sK7,X1))
| empty(X0)
| ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(sK6,sK8)) ),
inference(factoring,[],[f1031]) ).
fof(f1036,plain,
! [X0,X1] :
( empty(X0)
| ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(sK6,sK8))
| ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(X0,X1))
| in(sK9(sK51(X0,sK7,X1)),sK51(X0,sK7,X1))
| empty(X0) ),
inference(resolution,[],[f1034,f998]) ).
fof(f1037,plain,
! [X0,X1] :
( empty(X0)
| ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(sK6,sK8))
| ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(X0,X1))
| in(sK9(sK51(X0,sK7,X1)),sK51(X0,sK7,X1)) ),
inference(duplicate_literal_removal,[],[f1036]) ).
fof(f1038,plain,
! [X0,X1] :
( ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(sK6,sK8))
| empty(X0)
| ~ in(sK9(sK51(X0,sK7,X1)),cartesian_product2(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1037,f1034]) ).
fof(f1041,plain,
( ~ in(sK9(sK51(sK6,sK7,sK8)),cartesian_product2(sK6,sK8))
| empty(sK6) ),
inference(factoring,[],[f1038]) ).
fof(f1042,plain,
~ in(sK9(sK51(sK6,sK7,sK8)),cartesian_product2(sK6,sK8)),
inference(forward_subsumption_resolution,[],[f1041,f591]) ).
fof(f1044,plain,
in(sK9(sK51(sK6,sK7,sK8)),sK51(sK6,sK7,sK8)),
inference(resolution,[],[f1042,f597]) ).
fof(f1050,plain,
( in(sK9(sK51(sK6,sK7,sK8)),cartesian_product2(sK6,sK8))
| sP2(sK6,sK7)
| empty(sK6)
| ~ relation(sK7) ),
inference(resolution,[],[f1044,f914]) ).
fof(f1051,plain,
( sP2(sK6,sK7)
| empty(sK6)
| ~ relation(sK7) ),
inference(forward_subsumption_resolution,[],[f1050,f1042]) ).
fof(f1052,plain,
( empty(sK6)
| ~ relation(sK7) ),
inference(forward_subsumption_resolution,[],[f1051,f933]) ).
fof(f1053,plain,
~ relation(sK7),
inference(forward_subsumption_resolution,[],[f1052,f591]) ).
fof(f1054,plain,
$false,
inference(forward_subsumption_resolution,[],[f1053,f590]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU286+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:30:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.46/2.58 % (1429942)Detected formulas, will run a generic FOF schedule.
% 11.46/2.58 % (1429950)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1853605593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.46/2.58 % (1429951)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2156888692:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.46/2.58 % (1429950)Instruction limit reached!
% 11.46/2.58 % (1429950)------------------------------
% 11.46/2.58 % (1429950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.58 % (1429950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.58 % (1429950)CaDiCaL version: 2.1.3
% 11.46/2.58 % (1429950)Termination reason: Instruction limit
% 11.46/2.58 % (1429950)Termination phase: Saturation
% 11.46/2.58 % (1429950)Time elapsed: 0.036 s
% 11.46/2.58 % (1429950)Peak memory usage: 91 MB
% 11.46/2.58 % (1429950)Instructions burned: 110 (million)
% 11.46/2.58 % (1429949)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=566601318:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.46/2.58 % (1429948)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=597521687:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.46/2.58 % (1429947)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=1111650481:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.46/2.58 % (1429953)dis-21_1_sil=8000:lcm=predicate:random_seed=2332379362: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)
% 11.46/2.58 % (1429952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1881020832:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.46/2.58 % (1429951)Instruction limit reached!
% 11.46/2.58 % (1429951)------------------------------
% 11.46/2.58 % (1429951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.58 % (1429951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.58 % (1429951)CaDiCaL version: 2.1.3
% 11.46/2.58 % (1429951)Termination reason: Instruction limit
% 11.46/2.58 % (1429951)Termination phase: Saturation
% 11.46/2.58 % (1429951)Time elapsed: 0.074 s
% 11.46/2.58 % (1429951)Peak memory usage: 90 MB
% 11.46/2.58 % (1429951)Instructions burned: 119 (million)
% 11.46/2.58 % (1429953)Instruction limit reached!
% 11.46/2.58 % (1429953)------------------------------
% 11.46/2.58 % (1429953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.58 % (1429953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.58 % (1429953)CaDiCaL version: 2.1.3
% 11.46/2.58 % (1429953)Termination reason: Instruction limit
% 11.46/2.58 % (1429953)Termination phase: Saturation
% 11.46/2.58 % (1429953)Time elapsed: 0.065 s
% 11.46/2.58 % (1429953)Peak memory usage: 90 MB
% 11.46/2.58 % (1429953)Instructions burned: 130 (million)
% 11.46/2.58 % (1429959)lrs+10_1_sil=8000:sp=occurrence:random_seed=1240510207:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.46/2.58 % (1429952)Instruction limit reached!
% 11.46/2.58 % (1429952)------------------------------
% 11.46/2.58 % (1429952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.58 % (1429952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.58 % (1429952)CaDiCaL version: 2.1.3
% 11.46/2.58 % (1429952)Termination reason: Instruction limit
% 11.46/2.58 % (1429952)Termination phase: Saturation
% 11.46/2.58 % (1429952)Time elapsed: 0.094 s
% 11.46/2.58 % (1429952)Peak memory usage: 91 MB
% 11.46/2.58 % (1429952)Instructions burned: 141 (million)
% 11.46/2.58 % (1429959)Instruction limit reached!
% 11.46/2.58 % (1429959)------------------------------
% 11.46/2.58 % (1429959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.58 % (1429959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.58 % (1429959)CaDiCaL version: 2.1.3
% 11.46/2.58 % (1429959)Termination reason: Instruction limit
% 11.46/2.58 % (1429959)Termination phase: Saturation
% 11.46/2.58 % (1429959)Time elapsed: 0.102 s
% 11.46/2.58 % (1429959)Peak memory usage: 94 MB
% 11.46/2.58 % (1429959)Instructions burned: 285 (million)
% 18.42/3.51 % (1429962)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2008198421:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.42/3.51 % (1429963)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3166724123:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.42/3.51 % (1429965)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=3293739907:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 18.42/3.51 % (1429962)Instruction limit reached!
% 18.42/3.51 % (1429962)------------------------------
% 18.42/3.51 % (1429962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.51 % (1429962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.51 % (1429962)CaDiCaL version: 2.1.3
% 18.42/3.51 % (1429962)Termination reason: Instruction limit
% 18.42/3.51 % (1429962)Termination phase: Saturation
% 18.42/3.51 % (1429962)Time elapsed: 0.080 s
% 18.42/3.51 % (1429966)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2508012016:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 18.42/3.51 % (1429962)Peak memory usage: 91 MB
% 18.42/3.51 % (1429962)Instructions burned: 158 (million)
% 18.42/3.51 % (1429966)Instruction limit reached!
% 18.42/3.51 % (1429966)------------------------------
% 18.42/3.51 % (1429966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.51 % (1429966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.51 % (1429966)CaDiCaL version: 2.1.3
% 18.42/3.51 % (1429966)Termination reason: Instruction limit
% 18.42/3.51 % (1429966)Termination phase: Saturation
% 18.42/3.51 % (1429966)Time elapsed: 0.101 s
% 18.42/3.51 % (1429966)Peak memory usage: 92 MB
% 18.42/3.51 % (1429966)Instructions burned: 297 (million)
% 18.42/3.51 % (1429965)Instruction limit reached!
% 18.42/3.51 % (1429965)------------------------------
% 18.42/3.51 % (1429965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.51 % (1429965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.51 % (1429965)CaDiCaL version: 2.1.3
% 18.42/3.51 % (1429965)Termination reason: Instruction limit
% 18.42/3.51 % (1429965)Termination phase: Saturation
% 18.42/3.51 % (1429965)Time elapsed: 0.148 s
% 18.42/3.51 % (1429965)Peak memory usage: 93 MB
% 18.42/3.51 % (1429965)Instructions burned: 249 (million)
% 18.42/3.51 % (1429971)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1724806130:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.42/3.51 % (1429963)Instruction limit reached!
% 18.42/3.51 % (1429963)------------------------------
% 18.42/3.51 % (1429963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.51 % (1429963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.51 % (1429963)CaDiCaL version: 2.1.3
% 18.42/3.51 % (1429963)Termination reason: Instruction limit
% 18.42/3.51 % (1429963)Termination phase: Saturation
% 18.42/3.51 % (1429963)Time elapsed: 0.226 s
% 18.42/3.51 % (1429963)Peak memory usage: 94 MB
% 18.42/3.51 % (1429963)Instructions burned: 326 (million)
% 18.42/3.51 % (1429972)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=723432870:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.42/3.51 % (1429972)Instruction limit reached!
% 18.42/3.51 % (1429972)------------------------------
% 18.42/3.51 % (1429972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.51 % (1429972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.51 % (1429972)CaDiCaL version: 2.1.3
% 18.42/3.51 % (1429972)Termination reason: Instruction limit
% 18.42/3.51 % (1429972)Termination phase: Saturation
% 18.42/3.51 % (1429972)Time elapsed: 0.038 s
% 18.42/3.51 % (1429972)Peak memory usage: 90 MB
% 18.42/3.51 % (1429972)Instructions burned: 113 (million)
% 18.42/3.51 % (1429973)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1297942547:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.42/3.51 % (1429975)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3914784091:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 18.42/3.51 % (1429973)Instruction limit reached!
% 18.42/3.51 % (1429973)------------------------------
% 18.42/3.51 % (1429973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.51 % (1429973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.95 % (1429973)CaDiCaL version: 2.1.3
% 42.66/6.95 % (1429973)Termination reason: Instruction limit
% 42.66/6.95 % (1429973)Termination phase: Saturation
% 42.66/6.95 % (1429973)Time elapsed: 0.068 s
% 42.66/6.95 % (1429973)Peak memory usage: 90 MB
% 42.66/6.95 % (1429973)Instructions burned: 128 (million)
% 42.66/6.95 % (1429977)lrs+10_1_sil=8000:sp=occurrence:random_seed=457713287:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 42.66/6.95 % (1429975)Instruction limit reached!
% 42.66/6.95 % (1429975)------------------------------
% 42.66/6.95 % (1429975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.66/6.95 % (1429975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.95 % (1429975)CaDiCaL version: 2.1.3
% 42.66/6.95 % (1429975)Termination reason: Instruction limit
% 42.66/6.95 % (1429975)Termination phase: Saturation
% 42.66/6.95 % (1429975)Time elapsed: 0.056 s
% 42.66/6.95 % (1429975)Peak memory usage: 89 MB
% 42.66/6.95 % (1429975)Instructions burned: 116 (million)
% 42.66/6.95 % (1429980)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3764188836:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 42.66/6.95 % (1429982)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=148533366:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 42.66/6.95 % (1429977)Instruction limit reached!
% 42.66/6.95 % (1429977)------------------------------
% 42.66/6.95 % (1429977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.66/6.95 % (1429977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.95 % (1429977)CaDiCaL version: 2.1.3
% 42.66/6.95 % (1429977)Termination reason: Instruction limit
% 42.66/6.95 % (1429977)Termination phase: Saturation
% 42.66/6.95 % (1429977)Time elapsed: 0.311 s
% 42.66/6.95 % (1429977)Peak memory usage: 103 MB
% 42.66/6.95 % (1429977)Instructions burned: 909 (million)
% 42.66/6.95 % (1429980)Instruction limit reached!
% 42.66/6.95 % (1429980)------------------------------
% 42.66/6.95 % (1429980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.66/6.95 % (1429980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.95 % (1429980)CaDiCaL version: 2.1.3
% 42.66/6.95 % (1429980)Termination reason: Instruction limit
% 42.66/6.95 % (1429980)Termination phase: Saturation
% 42.66/6.95 % (1429980)Time elapsed: 0.267 s
% 42.66/6.95 % (1429980)Peak memory usage: 93 MB
% 42.66/6.95 % (1429980)Instructions burned: 437 (million)
% 42.66/6.95 % (1429985)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1658568407:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 42.66/6.95 % (1429985)Instruction limit reached!
% 42.66/6.95 % (1429985)------------------------------
% 42.66/6.95 % (1429985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.66/6.95 % (1429985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.95 % (1429985)CaDiCaL version: 2.1.3
% 42.66/6.95 % (1429985)Termination reason: Instruction limit
% 42.66/6.95 % (1429985)Termination phase: Saturation
% 42.66/6.95 % (1429985)Time elapsed: 0.043 s
% 42.66/6.95 % (1429985)Peak memory usage: 92 MB
% 42.66/6.95 % (1429985)Instructions burned: 135 (million)
% 42.66/6.95 % (1429986)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=141018486:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 42.66/6.95 % (1429988)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3219882745:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 42.66/6.95 % (1429986)Instruction limit reached!
% 42.66/6.95 % (1429986)------------------------------
% 42.66/6.95 % (1429986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.66/6.95 % (1429986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.66/6.95 % (1429986)CaDiCaL version: 2.1.3
% 42.66/6.95 % (1429986)Termination reason: Instruction limit
% 42.66/6.95 % (1429986)Termination phase: Saturation
% 42.66/6.95 % (1429986)Time elapsed: 0.334 s
% 42.66/6.95 % (1429986)Peak memory usage: 98 MB
% 42.66/6.95 % (1429986)Instructions burned: 592 (million)
% 42.66/6.95 % (1429991)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=88426672:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 69.84/10.70 % (1429991)Instruction limit reached!
% 69.84/10.70 % (1429991)------------------------------
% 69.84/10.70 % (1429991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.84/10.70 % (1429991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.84/10.70 % (1429991)CaDiCaL version: 2.1.3
% 69.84/10.70 % (1429991)Termination reason: Instruction limit
% 69.84/10.70 % (1429991)Termination phase: Saturation
% 69.84/10.70 % (1429991)Time elapsed: 0.080 s
% 69.84/10.70 % (1429991)Peak memory usage: 91 MB
% 69.84/10.70 % (1429991)Instructions burned: 125 (million)
% 69.84/10.70 % (1429993)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1264355253:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 69.84/10.70 % (1429993)Instruction limit reached!
% 69.84/10.70 % (1429993)------------------------------
% 69.84/10.70 % (1429993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.84/10.70 % (1429993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.84/10.70 % (1429993)CaDiCaL version: 2.1.3
% 69.84/10.70 % (1429993)Termination reason: Instruction limit
% 69.84/10.70 % (1429993)Termination phase: Saturation
% 69.84/10.70 % (1429993)Time elapsed: 0.080 s
% 69.84/10.70 % (1429993)Peak memory usage: 91 MB
% 69.84/10.70 % (1429993)Instructions burned: 134 (million)
% 69.84/10.70 % (1429971)Instruction limit reached!
% 69.84/10.70 % (1429971)------------------------------
% 69.84/10.70 % (1429971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.84/10.70 % (1429971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.84/10.70 % (1429971)CaDiCaL version: 2.1.3
% 69.84/10.70 % (1429971)Termination reason: Instruction limit
% 69.84/10.70 % (1429971)Termination phase: Saturation
% 69.84/10.70 % (1429971)Time elapsed: 1.488 s
% 69.84/10.70 % (1429971)Peak memory usage: 144 MB
% 69.84/10.70 % (1429971)Instructions burned: 2353 (million)
% 69.84/10.70 % (1429995)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2513887642:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 69.84/10.70 % (1429996)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2566828891:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 69.84/10.70 % (1429995)Instruction limit reached!
% 69.84/10.70 % (1429995)------------------------------
% 69.84/10.70 % (1429995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.84/10.70 % (1429995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.84/10.70 % (1429995)CaDiCaL version: 2.1.3
% 69.84/10.70 % (1429995)Termination reason: Instruction limit
% 69.84/10.70 % (1429995)Termination phase: Saturation
% 69.84/10.70 % (1429995)Time elapsed: 0.083 s
% 69.84/10.70 % (1429995)Peak memory usage: 92 MB
% 69.84/10.70 % (1429995)Instructions burned: 141 (million)
% 69.84/10.70 % (1429999)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=1985155714:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 69.84/10.70 % (1429996)Instruction limit reached!
% 69.84/10.70 % (1429996)------------------------------
% 69.84/10.70 % (1429996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.84/10.70 % (1429996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.84/10.70 % (1429996)CaDiCaL version: 2.1.3
% 69.84/10.70 % (1429996)Termination reason: Instruction limit
% 69.84/10.70 % (1429996)Termination phase: Saturation
% 69.84/10.70 % (1429996)Time elapsed: 0.258 s
% 69.84/10.70 % (1429996)Peak memory usage: 94 MB
% 69.84/10.70 % (1429996)Instructions burned: 432 (million)
% 69.84/10.70 % (1430001)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=3747988375:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 69.84/10.70 % (1430001)Instruction limit reached!
% 69.84/10.70 % (1430001)------------------------------
% 69.84/10.70 % (1430001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.84/10.70 % (1430001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.84/10.70 % (1430001)CaDiCaL version: 2.1.3
% 69.84/10.70 % (1430001)Termination reason: Instruction limit
% 69.84/10.70 % (1430001)Termination phase: Saturation
% 69.84/10.70 % (1430001)Time elapsed: 0.086 s
% 69.84/10.70 % (1430001)Peak memory usage: 91 MB
% 94.96/14.22 % (1430001)Instructions burned: 150 (million)
% 94.96/14.22 % (1430003)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2703647973:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 94.96/14.22 % (1429982)Instruction limit reached!
% 94.96/14.22 % (1429982)------------------------------
% 94.96/14.22 % (1429982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.96/14.22 % (1429982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.96/14.22 % (1429982)CaDiCaL version: 2.1.3
% 94.96/14.22 % (1429982)Termination reason: Instruction limit
% 94.96/14.22 % (1429982)Termination phase: Saturation
% 94.96/14.22 % (1429982)Time elapsed: 3.116 s
% 94.96/14.22 % (1429982)Peak memory usage: 162 MB
% 94.96/14.22 % (1429982)Instructions burned: 5203 (million)
% 94.96/14.22 % (1430005)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4147384992:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 94.96/14.22 % (1430005)Instruction limit reached!
% 94.96/14.22 % (1430005)------------------------------
% 94.96/14.22 % (1430005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.96/14.22 % (1430005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.96/14.22 % (1430005)CaDiCaL version: 2.1.3
% 94.96/14.22 % (1430005)Termination reason: Instruction limit
% 94.96/14.22 % (1430005)Termination phase: Saturation
% 94.96/14.22 % (1430005)Time elapsed: 0.307 s
% 94.96/14.22 % (1430005)Peak memory usage: 91 MB
% 94.96/14.22 % (1430005)Instructions burned: 667 (million)
% 94.96/14.22 % (1430007)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2538288964:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 94.96/14.22 % (1430007)Instruction limit reached!
% 94.96/14.22 % (1430007)------------------------------
% 94.96/14.22 % (1430007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.96/14.22 % (1430007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.96/14.22 % (1430007)CaDiCaL version: 2.1.3
% 94.96/14.22 % (1430007)Termination reason: Instruction limit
% 94.96/14.22 % (1430007)Termination phase: Saturation
% 94.96/14.22 % (1430007)Time elapsed: 0.107 s
% 94.96/14.22 % (1430007)Peak memory usage: 92 MB
% 94.96/14.22 % (1430007)Instructions burned: 186 (million)
% 94.96/14.22 % (1430009)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3597606741:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 94.96/14.22 % (1430009)Instruction limit reached!
% 94.96/14.22 % (1430009)------------------------------
% 94.96/14.22 % (1430009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.96/14.22 % (1430009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.96/14.22 % (1430009)CaDiCaL version: 2.1.3
% 94.96/14.22 % (1430009)Termination reason: Instruction limit
% 94.96/14.22 % (1430009)Termination phase: Saturation
% 94.96/14.22 % (1430009)Time elapsed: 0.105 s
% 94.96/14.22 % (1430009)Peak memory usage: 93 MB
% 94.96/14.22 % (1430009)Instructions burned: 194 (million)
% 94.96/14.22 % (1430011)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2509071766:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2950 on theBenchmark for (2950ds/4850Mi)
% 94.96/14.22 % (1429988)Instruction limit reached!
% 94.96/14.22 % (1429988)------------------------------
% 94.96/14.22 % (1429988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.96/14.22 % (1429988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.96/14.22 % (1429988)CaDiCaL version: 2.1.3
% 94.96/14.22 % (1429988)Termination reason: Instruction limit
% 94.96/14.22 % (1429988)Termination phase: Saturation
% 94.96/14.22 % (1429988)Time elapsed: 4.276 s
% 94.96/14.22 % (1429988)Peak memory usage: 243 MB
% 94.96/14.22 % (1429988)Instructions burned: 13194 (million)
% 94.96/14.22 % (1430013)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2504175472:i=12111:sd=1:ss=included_2944 on theBenchmark for (2944ds/12111Mi)
% 94.96/14.22 % (1429999)Instruction limit reached!
% 94.96/14.22 % (1429999)------------------------------
% 94.96/14.22 % (1429999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.96/14.22 % (1429999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.96/14.22 % (1429999)CaDiCaL version: 2.1.3
% 147.25/21.63 % (1429999)Termination reason: Instruction limit
% 147.25/21.63 % (1429999)Termination phase: Saturation
% 147.25/21.63 % (1429999)Time elapsed: 3.734 s
% 147.25/21.63 % (1429999)Peak memory usage: 172 MB
% 147.25/21.63 % (1429999)Instructions burned: 6060 (million)
% 147.25/21.63 % (1430015)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3217959911:i=319:kws=precedence:fsr=off_2938 on theBenchmark for (2938ds/319Mi)
% 147.25/21.63 % (1430015)Instruction limit reached!
% 147.25/21.63 % (1430015)------------------------------
% 147.25/21.63 % (1430015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.25/21.63 % (1430015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.25/21.63 % (1430015)CaDiCaL version: 2.1.3
% 147.25/21.63 % (1430015)Termination reason: Instruction limit
% 147.25/21.63 % (1430015)Termination phase: Saturation
% 147.25/21.63 % (1430015)Time elapsed: 0.152 s
% 147.25/21.63 % (1430015)Peak memory usage: 94 MB
% 147.25/21.63 % (1430015)Instructions burned: 320 (million)
% 147.25/21.63 % (1430017)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2889437211:i=2064:ep=RST_2935 on theBenchmark for (2935ds/2064Mi)
% 147.25/21.63 % (1430017)Instruction limit reached!
% 147.25/21.63 % (1430017)------------------------------
% 147.25/21.63 % (1430017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.25/21.63 % (1430017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.25/21.63 % (1430017)CaDiCaL version: 2.1.3
% 147.25/21.63 % (1430017)Termination reason: Instruction limit
% 147.25/21.63 % (1430017)Termination phase: Saturation
% 147.25/21.63 % (1430017)Time elapsed: 1.054 s
% 147.25/21.63 % (1430017)Peak memory usage: 134 MB
% 147.25/21.63 % (1430017)Instructions burned: 2065 (million)
% 147.25/21.63 % (1430019)dis-1011_128_sil=32000:random_seed=2362713334:i=3706:ep=RST:av=off_2924 on theBenchmark for (2924ds/3706Mi)
% 147.25/21.63 % (1430011)Instruction limit reached!
% 147.25/21.63 % (1430011)------------------------------
% 147.25/21.63 % (1430011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.25/21.63 % (1430011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.25/21.63 % (1430011)CaDiCaL version: 2.1.3
% 147.25/21.63 % (1430011)Termination reason: Instruction limit
% 147.25/21.63 % (1430011)Termination phase: Saturation
% 147.25/21.63 % (1430011)Time elapsed: 2.881 s
% 147.25/21.63 % (1430011)Peak memory usage: 154 MB
% 147.25/21.63 % (1430011)Instructions burned: 4850 (million)
% 147.25/21.63 % (1430021)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2145972789:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2919 on theBenchmark for (2919ds/757Mi)
% 147.25/21.63 % (1430021)Instruction limit reached!
% 147.25/21.63 % (1430021)------------------------------
% 147.25/21.63 % (1430021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.25/21.63 % (1430021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.25/21.63 % (1430021)CaDiCaL version: 2.1.3
% 147.25/21.63 % (1430021)Termination reason: Instruction limit
% 147.25/21.63 % (1430021)Termination phase: Saturation
% 147.25/21.63 % (1430021)Time elapsed: 0.538 s
% 147.25/21.63 % (1430021)Peak memory usage: 109 MB
% 147.25/21.63 % (1430021)Instructions burned: 758 (million)
% 147.25/21.63 % (1430023)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1099623447:i=13913:ss=axioms:sgt=8_2913 on theBenchmark for (2913ds/13913Mi)
% 147.25/21.63 % (1430013)Instruction limit reached!
% 147.25/21.63 % (1430013)------------------------------
% 147.25/21.63 % (1430013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.25/21.63 % (1430013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.25/21.63 % (1430013)CaDiCaL version: 2.1.3
% 147.25/21.63 % (1430013)Termination reason: Instruction limit
% 147.25/21.63 % (1430013)Termination phase: Saturation
% 147.25/21.63 % (1430013)Time elapsed: 3.912 s
% 147.25/21.63 % (1430013)Peak memory usage: 239 MB
% 147.25/21.63 % (1430013)Instructions burned: 12113 (million)
% 147.25/21.63 % (1430025)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1557896493:i=9925:aac=none_2904 on theBenchmark for (2904ds/9925Mi)
% 147.25/21.63 % (1430019)Instruction limit reached!
% 147.25/21.63 % (1430019)------------------------------
% 147.25/21.63 % (1430019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.25/21.63 % (1430019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.25/21.63 % (1430019)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430019)Termination reason: Instruction limit
% 73.87/22.51 % (1430019)Termination phase: Saturation
% 73.87/22.51 % (1430019)Time elapsed: 2.132 s
% 73.87/22.51 % (1430019)Peak memory usage: 106 MB
% 73.87/22.51 % (1430019)Instructions burned: 3707 (million)
% 73.87/22.51 % (1430027)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2261403961:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2901 on theBenchmark for (2901ds/2479Mi)
% 73.87/22.51 % (1430003)Instruction limit reached!
% 73.87/22.51 % (1430003)------------------------------
% 73.87/22.51 % (1430003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430003)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430003)Termination reason: Instruction limit
% 73.87/22.51 % (1430003)Termination phase: Saturation
% 73.87/22.51 % (1430003)Time elapsed: 8.421 s
% 73.87/22.51 % (1430003)Peak memory usage: 247 MB
% 73.87/22.51 % (1430003)Instructions burned: 14157 (million)
% 73.87/22.51 % (1430029)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=522021271:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2887 on theBenchmark for (2887ds/440Mi)
% 73.87/22.51 % (1430027)Instruction limit reached!
% 73.87/22.51 % (1430027)------------------------------
% 73.87/22.51 % (1430027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430027)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430027)Termination reason: Instruction limit
% 73.87/22.51 % (1430027)Termination phase: Saturation
% 73.87/22.51 % (1430027)Time elapsed: 1.524 s
% 73.87/22.51 % (1430027)Peak memory usage: 113 MB
% 73.87/22.51 % (1430027)Instructions burned: 2480 (million)
% 73.87/22.51 % (1430029)Instruction limit reached!
% 73.87/22.51 % (1430029)------------------------------
% 73.87/22.51 % (1430029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430029)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430029)Termination reason: Instruction limit
% 73.87/22.51 % (1430029)Termination phase: Saturation
% 73.87/22.51 % (1430029)Time elapsed: 0.258 s
% 73.87/22.51 % (1430029)Peak memory usage: 94 MB
% 73.87/22.51 % (1430029)Instructions burned: 441 (million)
% 73.87/22.51 % (1430031)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3425195418:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2884 on theBenchmark for (2884ds/11145Mi)
% 73.87/22.51 % (1430033)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=931880557:cts=off:i=3034:av=off:er=known:fsd=on_2883 on theBenchmark for (2883ds/3034Mi)
% 73.87/22.51 % (1430025)Instruction limit reached!
% 73.87/22.51 % (1430025)------------------------------
% 73.87/22.51 % (1430025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430025)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430025)Termination reason: Instruction limit
% 73.87/22.51 % (1430025)Termination phase: Saturation
% 73.87/22.51 % (1430025)Time elapsed: 3.024 s
% 73.87/22.51 % (1430025)Peak memory usage: 202 MB
% 73.87/22.51 % (1430025)Instructions burned: 9929 (million)
% 73.87/22.51 % (1430077)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4261869466:st=2:s2a=on:i=524:s2at=2:ss=axioms_2872 on theBenchmark for (2872ds/524Mi)
% 73.87/22.51 % (1430077)Instruction limit reached!
% 73.87/22.51 % (1430077)------------------------------
% 73.87/22.51 % (1430077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430077)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430077)Termination reason: Instruction limit
% 73.87/22.51 % (1430077)Termination phase: Saturation
% 73.87/22.51 % (1430077)Time elapsed: 0.158 s
% 73.87/22.51 % (1430077)Peak memory usage: 96 MB
% 73.87/22.51 % (1430077)Instructions burned: 525 (million)
% 73.87/22.51 % (1430153)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2217122449:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2870 on theBenchmark for (2870ds/1016Mi)
% 73.87/22.51 % (1430153)Instruction limit reached!
% 73.87/22.51 % (1430153)------------------------------
% 73.87/22.51 % (1430153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430153)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430153)Termination reason: Instruction limit
% 73.87/22.51 % (1430153)Termination phase: Saturation
% 73.87/22.51 % (1430153)Time elapsed: 0.317 s
% 73.87/22.51 % (1430153)Peak memory usage: 118 MB
% 73.87/22.51 % (1430153)Instructions burned: 1018 (million)
% 73.87/22.51 % (1430162)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1093209816:i=14123:bd=preordered:ins=4_2866 on theBenchmark for (2866ds/14123Mi)
% 73.87/22.51 % (1430033)Instruction limit reached!
% 73.87/22.51 % (1430033)------------------------------
% 73.87/22.51 % (1430033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430033)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430033)Termination reason: Instruction limit
% 73.87/22.51 % (1430033)Termination phase: Saturation
% 73.87/22.51 % (1430033)Time elapsed: 1.833 s
% 73.87/22.51 % (1430033)Peak memory usage: 143 MB
% 73.87/22.51 % (1430033)Instructions burned: 3034 (million)
% 73.87/22.51 % (1430229)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2851630279:i=5781:kws=precedence:bd=all:rawr=on_2863 on theBenchmark for (2863ds/5781Mi)
% 73.87/22.51 % (1430229)Instruction limit reached!
% 73.87/22.51 % (1430229)------------------------------
% 73.87/22.51 % (1430229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430229)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430229)Termination reason: Instruction limit
% 73.87/22.51 % (1430229)Termination phase: Saturation
% 73.87/22.51 % (1430229)Time elapsed: 4.204 s
% 73.87/22.51 % (1430229)Peak memory usage: 130 MB
% 73.87/22.51 % (1430229)Instructions burned: 5782 (million)
% 73.87/22.51 % (1430318)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2247182586:i=2448:gtgl=5:bd=preordered:gtg=all_2820 on theBenchmark for (2820ds/2448Mi)
% 73.87/22.51 % (1430023)Instruction limit reached!
% 73.87/22.51 % (1430023)------------------------------
% 73.87/22.51 % (1430023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430023)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430023)Termination reason: Instruction limit
% 73.87/22.51 % (1430023)Termination phase: Saturation
% 73.87/22.51 % (1430023)Time elapsed: 9.841 s
% 73.87/22.51 % (1430023)Peak memory usage: 240 MB
% 73.87/22.51 % (1430023)Instructions burned: 13913 (million)
% 73.87/22.51 % (1430326)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2617053367:i=3223:kws=precedence:fgj=on:av=off_2813 on theBenchmark for (2813ds/3223Mi)
% 73.87/22.51 % (1430318)Instruction limit reached!
% 73.87/22.51 % (1430318)------------------------------
% 73.87/22.51 % (1430318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430318)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430318)Termination reason: Instruction limit
% 73.87/22.51 % (1430318)Termination phase: Saturation
% 73.87/22.51 % (1430318)Time elapsed: 2.364 s
% 73.87/22.51 % (1430318)Peak memory usage: 145 MB
% 73.87/22.51 % (1430318)Instructions burned: 2448 (million)
% 73.87/22.51 % (1430162)Instruction limit reached!
% 73.87/22.51 % (1430162)------------------------------
% 73.87/22.51 % (1430162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.87/22.51 % (1430162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.87/22.51 % (1430162)CaDiCaL version: 2.1.3
% 73.87/22.51 % (1430162)Termination reason: Instruction limit
% 73.87/22.51 % (1430162)Termination phase: Saturation
% 73.87/22.51 % (1430162)Time elapsed: 7.142 s
% 73.87/22.51 % (1430162)Peak memory usage: 238 MB
% 73.87/22.51 % (1430162)Instructions burned: 14124 (million)
% 73.87/22.51 % (1430337)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3755487507:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2793 on theBenchmark for (2793ds/2055Mi)
% 73.87/22.51 % (1430336)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2675578003:st=5.6:i=2033:sd=3:ss=axioms_2794 on theBenchmark for (2794ds/2033Mi)
% 73.87/22.51 % (1430337)First to succeed.
% 73.87/22.51 % (1430337)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1429942"
% 73.87/22.51 % (1430337)Refutation found. Thanks to Tanya!
% 73.87/22.51 % SZS status Theorem for theBenchmark
% 73.87/22.51 % SZS output start Proof for theBenchmark
% See solution above
% 153.94/22.73 % (1430337)------------------------------
% 153.94/22.73 % (1430337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 153.94/22.73 % (1430337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 153.94/22.73 % (1430337)CaDiCaL version: 2.1.3
% 153.94/22.73 % (1430337)Termination reason: Refutation
% 153.94/22.73 % (1430337)Time elapsed: 0.634 s
% 153.94/22.73 % (1430337)Peak memory usage: 133 MB
% 153.94/22.73 % (1430337)Instructions burned: 1067 (million)
% 153.94/22.73 % (1430337)------------------------------
% 153.94/22.73 % (1430337)------------------------------
% 153.94/22.73 % (1429942)Success in time 21.654 s
% 153.94/22.73 % Vampire exiting
%------------------------------------------------------------------------------