%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:56:16 AM UTC 2026
% Result : Theorem 8.47s 2.73s
% Output : Refutation 11.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 13 unt; 5 def)
% Number of atoms : 619 ( 0 equ)
% Maximal formula atoms : 44 ( 8 avg)
% Number of connectives : 1108 ( 564 ~; 431 |; 107 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-1 aty)
% Number of variables : 333 ( 0 sgn 288 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X0,X1)
& r1(X1,X2) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) ) ) )
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& p1(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) ) ) )
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
& p1(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) )
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] :
( ~ r1(X7,X8)
| p3(X8) )
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) ) ) )
| ( ~ p1(X0)
& ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
& ! [X14] :
( ~ r1(X0,X14)
| p1(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
& p1(X15) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ! [X20] :
( ~ r1(X17,X20)
| p1(X20) ) )
| ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) )
| ~ ! [X27] :
( ~ r1(X24,X27)
| ~ p1(X27) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) )
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] :
( ~ r1(X7,X8)
| p3(X8) )
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) ) ) )
| ( ~ p1(X0)
& ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
& ! [X14] :
( ~ r1(X0,X14)
| p1(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
& p1(X15) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ! [X20] :
( ~ r1(X17,X20)
| p1(X20) ) )
| ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) )
| ~ ! [X27] :
( ~ r1(X24,X27)
| ~ p1(X27) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5)
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] : ~ r1(X7,X8)
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) ) ) )
| ( ~ p1(X0)
& ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
& ! [X14] :
( ~ r1(X0,X14)
| p1(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
& p1(X15) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ! [X20] :
( ~ r1(X17,X20)
| p1(X20) ) )
| ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) )
| ~ ! [X27] :
( ~ r1(X24,X27)
| ~ p1(X27) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5)
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] : ~ r1(X7,X8)
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) ) ) )
| ( ~ p1(X0)
& ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
& ! [X14] :
( ~ r1(X0,X14)
| p1(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
& p1(X15) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ! [X20] :
( ~ r1(X17,X20)
| p1(X20) ) )
| ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) )
| ~ ! [X27] :
( ~ r1(X24,X27)
| ~ p1(X27) ) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] : r1(X4,X5)
& p2(X4) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ( ? [X8] : r1(X7,X8)
& p2(X7) ) )
| ~ p2(X6)
| ! [X9] :
( ~ r1(X6,X9)
| ? [X10] :
( r1(X9,X10)
& ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) ) )
& ( p1(X0)
| ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& ~ p1(X13) ) )
| ? [X14] :
( r1(X0,X14)
& ~ p1(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) ) )
& ? [X17] :
( r1(X0,X17)
& ? [X18] :
( r1(X17,X18)
& ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
& ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) )
& ? [X21] :
( r1(X0,X21)
& ! [X22] :
( ~ r1(X21,X22)
| ? [X23] :
( r1(X22,X23)
& ~ p2(X23) ) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) )
| ? [X27] :
( r1(X24,X27)
& p1(X27) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f12,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] : r1(X4,X5)
& p2(X4) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ( ? [X8] : r1(X7,X8)
& p2(X7) ) )
| ~ p2(X6)
| ! [X9] :
( ~ r1(X6,X9)
| ? [X10] :
( r1(X9,X10)
& ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) ) )
& ( p1(X0)
| ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& ~ p1(X13) ) )
| ? [X14] :
( r1(X0,X14)
& ~ p1(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15) ) ) )
& ? [X17] :
( r1(X0,X17)
& ? [X18] :
( r1(X17,X18)
& ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
& ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) )
& ? [X21] :
( r1(X0,X21)
& ! [X22] :
( ~ r1(X21,X22)
| ? [X23] :
( r1(X22,X23)
& ~ p2(X23) ) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) )
| ? [X27] :
( r1(X24,X27)
& p1(X27) ) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4)
& p2(X3) ) )
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ? [X7] : r1(X6,X7)
& p2(X6) ) )
| ~ p2(X5)
| ! [X8] :
( ~ r1(X5,X8)
| ? [X9] :
( r1(X8,X9)
& ! [X10] :
( ~ r1(X9,X10)
| ~ p2(X10) ) ) ) ) ) )
& ( p1(X0)
| ! [X11] :
( ~ r1(X0,X11)
| ? [X12] :
( r1(X11,X12)
& ~ p1(X12) ) )
| ? [X13] :
( r1(X0,X13)
& ~ p1(X13)
& ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p1(X15) )
| ~ p1(X14) ) ) )
& ? [X16] :
( r1(X0,X16)
& ? [X17] :
( r1(X16,X17)
& ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
& ? [X19] :
( r1(X16,X19)
& ~ p1(X19) ) )
& ? [X20] :
( r1(X0,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ? [X22] :
( r1(X21,X22)
& ~ p2(X22) ) ) )
& ! [X23] :
( ~ r1(X0,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ~ p1(X25) ) )
| ? [X26] :
( r1(X23,X26)
& p1(X26) ) ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK1(X2))
& r1(sK1(X2),sK2(X2))
& p2(sK1(X2)) ) )
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( r1(X6,sK3(X6))
& p2(X6) ) )
| ~ p2(X5)
| ! [X8] :
( ~ r1(X5,X8)
| ( r1(X8,sK4(X8))
& ! [X10] :
( ~ r1(sK4(X8),X10)
| ~ p2(X10) ) ) ) ) ) )
& ( p1(sK0)
| ! [X11] :
( ~ r1(sK0,X11)
| ( r1(X11,sK5(X11))
& ~ p1(sK5(X11)) ) )
| ( r1(sK0,sK6)
& ~ p1(sK6)
& ! [X14] :
( ~ r1(sK6,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p1(X15) )
| ~ p1(X14) ) ) )
& r1(sK0,sK7)
& r1(sK7,sK8)
& ! [X18] :
( ~ r1(sK8,X18)
| p1(X18) )
& r1(sK7,sK9)
& ~ p1(sK9)
& r1(sK0,sK10)
& ! [X21] :
( ~ r1(sK10,X21)
| ( r1(X21,sK11(X21))
& ~ p2(sK11(X21)) ) )
& ! [X23] :
( ~ r1(sK0,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ~ p1(X25) ) )
| ( r1(X23,sK12(X23))
& p1(sK12(X23)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK0),skolemize(X3,sK1(X2)),skolemize(X4,sK2(X2)),skolemize(X7,sK3(X6)),skolemize(X9,sK4(X8)),skolemize(X12,sK5(X11)),skolemize(X13,sK6),skolemize(X16,sK7),skolemize(X17,sK8),skolemize(X19,sK9),skolemize(X20,sK10),skolemize(X22,sK11(X21)),skolemize(X26,sK12(X23))],[f13]) ).
fof(f15,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X21] :
( ~ p2(sK11(X21))
| ~ r1(sK10,X21) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X21] :
( r1(X21,sK11(X21))
| ~ r1(sK10,X21) ),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
r1(sK0,sK10),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X10,X1,X8,X6,X5] :
( ~ r1(sK4(X8),X10)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| p2(X6)
| ~ p2(X5)
| ~ r1(X5,X8)
| ~ r1(sK0,X1)
| ~ p2(X10) ),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X1,X8,X6,X5] :
( ~ r1(sK0,X1)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| p2(X6)
| ~ p2(X5)
| ~ r1(X5,X8)
| r1(X8,sK4(X8)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
! [X2,X1] :
( ~ r1(sK0,X1)
| ~ r1(X1,X2)
| p2(sK1(X2)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X1] :
( ~ r1(sK0,X1)
| ~ r1(X1,X2)
| r1(X2,sK1(X2)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ r1(sK10,X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X2)
| r1(X2,sK4(X2)) ),
inference(resolution,[],[f34,f21]) ).
fof(f93,plain,
! [X0] :
( ~ r1(sK10,X0)
| p2(sK1(X0)) ),
inference(resolution,[],[f37,f21]) ).
fof(f162,plain,
p2(sK1(sK10)),
inference(resolution,[],[f93,f15]) ).
fof(f193,plain,
! [X0] :
( r1(X0,sK1(X0))
| ~ r1(sK10,X0) ),
inference(resolution,[],[f39,f21]) ).
fof(f238,definition,
( spl13_31
<=> ! [X1] :
( ~ r1(sK1(sK10),X1)
| r1(X1,sK4(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_31])],[avatar_definition]) ).
fof(f239,plain,
( ! [X1] :
( ~ r1(sK1(sK10),X1)
| r1(X1,sK4(X1)) )
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,definition,
( spl13_32
<=> ! [X0] :
( ~ r1(sK1(sK10),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_32])],[avatar_definition]) ).
fof(f242,plain,
( ! [X0] :
( ~ r1(sK1(sK10),X0)
| p2(X0) )
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f281,plain,
! [X0,X1] :
( ~ r1(sK10,sK10)
| ~ r1(sK1(sK10),X0)
| p2(X0)
| ~ p2(sK1(sK10))
| ~ r1(sK1(sK10),X1)
| r1(X1,sK4(X1)) ),
inference(resolution,[],[f193,f79]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK10,sK4(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| ~ r1(X2,X0)
| ~ r1(sK0,X1)
| ~ p2(sK1(sK4(X0))) ),
inference(resolution,[],[f193,f33]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK10,sK4(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| ~ r1(X2,X0)
| ~ r1(sK0,X1) ),
inference(forward_subsumption_resolution,[],[f283,f93]) ).
fof(f287,plain,
! [X0,X1] :
( ~ r1(sK10,sK10)
| ~ r1(sK1(sK10),X0)
| p2(X0)
| ~ r1(sK1(sK10),X1)
| r1(X1,sK4(X1)) ),
inference(forward_subsumption_resolution,[],[f281,f93]) ).
fof(f290,plain,
! [X0,X1] :
( ~ r1(sK1(sK10),X0)
| p2(X0)
| ~ r1(sK1(sK10),X1)
| r1(X1,sK4(X1)) ),
inference(forward_subsumption_resolution,[],[f287,f15]) ).
fof(f291,plain,
( spl13_31
| spl13_32 ),
inference(avatar_split_clause,[],[f290,f241,f238]) ).
fof(f292,plain,
( r1(sK1(sK10),sK4(sK1(sK10)))
| ~ spl13_31 ),
inference(resolution,[],[f239,f15]) ).
fof(f307,definition,
( spl13_41
<=> r1(sK10,sK1(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_41])],[avatar_definition]) ).
fof(f308,plain,
( r1(sK10,sK1(sK10))
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( ~ r1(sK10,sK1(sK10))
| spl13_41 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f316,plain,
( ~ r1(sK10,sK10)
| spl13_41 ),
inference(resolution,[],[f309,f193]) ).
fof(f318,plain,
( $false
| spl13_41 ),
inference(forward_subsumption_resolution,[],[f316,f15]) ).
fof(f319,plain,
spl13_41,
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f321,plain,
( p2(sK11(sK1(sK10)))
| ~ r1(sK10,sK1(sK10))
| ~ spl13_32 ),
inference(resolution,[],[f242,f20]) ).
fof(f326,plain,
( ~ r1(sK10,sK1(sK10))
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f321,f19]) ).
fof(f327,plain,
( $false
| ~ spl13_32
| ~ spl13_41 ),
inference(forward_subsumption_resolution,[],[f326,f308]) ).
fof(f328,plain,
( ~ spl13_32
| ~ spl13_41 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f427,plain,
( ! [X0] :
( r1(X0,sK4(sK1(sK10)))
| ~ r1(X0,sK1(sK10)) )
| ~ spl13_31 ),
inference(resolution,[],[f292,f16]) ).
fof(f435,definition,
( spl13_61
<=> ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ r1(X1,sK1(sK10))
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl13_61])],[avatar_definition]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ r1(X1,sK1(sK10))
| ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl13_61 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f439,plain,
( ! [X2,X0,X1] :
( ~ r1(sK10,sK1(sK10))
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X1,sK1(sK10))
| ~ r1(sK0,X0) )
| ~ spl13_31 ),
inference(resolution,[],[f427,f285]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X1,sK1(sK10))
| ~ r1(sK0,X0) )
| ~ spl13_31
| ~ spl13_41 ),
inference(forward_subsumption_resolution,[],[f439,f308]) ).
fof(f495,plain,
( spl13_61
| ~ spl13_31
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f487,f307,f238,f435]) ).
fof(f498,plain,
( ! [X0,X1] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK1(sK10))
| ~ p2(sK1(sK10))
| p2(X1)
| ~ r1(sK1(sK10),X1) )
| ~ spl13_61 ),
inference(resolution,[],[f436,f15]) ).
fof(f500,plain,
( ! [X0,X1] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK1(sK10))
| p2(X1)
| ~ r1(sK1(sK10),X1) )
| ~ spl13_61 ),
inference(forward_subsumption_resolution,[],[f498,f162]) ).
fof(f502,definition,
( spl13_72
<=> ! [X0] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK1(sK10)) ) ),
introduced(definition,[new_symbols(definition,[spl13_72])],[avatar_definition]) ).
fof(f503,plain,
( ! [X0] :
( ~ r1(X0,sK1(sK10))
| ~ r1(sK0,X0) )
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( spl13_32
| spl13_72
| ~ spl13_61 ),
inference(avatar_split_clause,[],[f500,f435,f502,f241]) ).
fof(f758,plain,
( ~ r1(sK0,sK10)
| ~ r1(sK10,sK10)
| ~ spl13_72 ),
inference(resolution,[],[f503,f193]) ).
fof(f764,plain,
( ~ r1(sK10,sK10)
| ~ spl13_72 ),
inference(forward_subsumption_resolution,[],[f758,f21]) ).
fof(f765,plain,
( $false
| ~ spl13_72 ),
inference(forward_subsumption_resolution,[],[f764,f15]) ).
fof(f766,plain,
~ spl13_72,
inference(avatar_contradiction_clause,[],[f765]) ).
cnf(s23,plain,
( spl13_31
| spl13_32 ),
inference(sat_conversion,[],[f291]) ).
cnf(s27,plain,
spl13_41,
inference(sat_conversion,[],[f319]) ).
cnf(s28,plain,
( ~ spl13_32
| ~ spl13_41 ),
inference(sat_conversion,[],[f328]) ).
cnf(s49,plain,
( ~ spl13_31
| ~ spl13_41
| spl13_61 ),
inference(sat_conversion,[],[f495]) ).
cnf(s50,plain,
( spl13_32
| ~ spl13_61
| spl13_72 ),
inference(sat_conversion,[],[f504]) ).
cnf(s85,plain,
~ spl13_72,
inference(sat_conversion,[],[f766]) ).
cnf(s86,plain,
( spl13_32
| ~ spl13_61 ),
inference(rat,[],[s50,s85]) ).
cnf(s87,plain,
~ spl13_32,
inference(rat,[],[s28,s27]) ).
cnf(s88,plain,
~ spl13_61,
inference(rat,[],[s86,s87]) ).
cnf(s89,plain,
~ spl13_31,
inference(rat,[],[s49,s27,s88]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s23,s87,s89]) ).
fof(f767,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n020.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 16:40:04 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 8.47/2.73 % (3589824)Detected formulas, will run a generic FOF schedule.
% 8.47/2.73 % (3589833)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4059726549:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.47/2.73 % (3589833)Instruction limit reached!
% 8.47/2.73 % (3589833)------------------------------
% 8.47/2.73 % (3589833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589833)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589833)Termination reason: Instruction limit
% 8.47/2.73 % (3589833)Termination phase: Saturation
% 8.47/2.73 % (3589833)Time elapsed: 0.052 s
% 8.47/2.73 % (3589833)Peak memory usage: 88 MB
% 8.47/2.73 % (3589833)Instructions burned: 122 (million)
% 8.47/2.73 % (3589829)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=63874875:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.47/2.73 % (3589831)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=3533951542:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.47/2.73 % (3589830)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=3794434417:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.47/2.73 % (3589832)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2166537034:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.47/2.73 % (3589835)dis-21_1_sil=8000:lcm=predicate:random_seed=1174366998: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)
% 8.47/2.73 % (3589834)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=818124529:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.47/2.73 % (3589832)Instruction limit reached!
% 8.47/2.73 % (3589832)------------------------------
% 8.47/2.73 % (3589832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589832)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589832)Termination reason: Instruction limit
% 8.47/2.73 % (3589832)Termination phase: Saturation
% 8.47/2.73 % (3589832)Time elapsed: 0.102 s
% 8.47/2.73 % (3589832)Peak memory usage: 89 MB
% 8.47/2.73 % (3589832)Instructions burned: 109 (million)
% 8.47/2.73 % (3589834)Instruction limit reached!
% 8.47/2.73 % (3589834)------------------------------
% 8.47/2.73 % (3589834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589834)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589834)Termination reason: Instruction limit
% 8.47/2.73 % (3589834)Termination phase: Saturation
% 8.47/2.73 % (3589834)Time elapsed: 0.105 s
% 8.47/2.73 % (3589834)Peak memory usage: 88 MB
% 8.47/2.73 % (3589834)Instructions burned: 139 (million)
% 8.47/2.73 % (3589835)Instruction limit reached!
% 8.47/2.73 % (3589835)------------------------------
% 8.47/2.73 % (3589835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589835)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589835)Termination reason: Instruction limit
% 8.47/2.73 % (3589835)Termination phase: Saturation
% 8.47/2.73 % (3589835)Time elapsed: 0.109 s
% 8.47/2.73 % (3589835)Peak memory usage: 88 MB
% 8.47/2.73 % (3589835)Instructions burned: 130 (million)
% 8.47/2.73 % (3589840)lrs+10_1_sil=8000:sp=occurrence:random_seed=693001050:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.47/2.73 % (3589845)lrs+1011_1_sil=32000:sp=occurrence:random_seed=15287951:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.47/2.73 % (3589846)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=2432188504:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.47/2.73 % (3589844)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1195121685:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 8.47/2.73 % (3589840)Instruction limit reached!
% 8.47/2.73 % (3589840)------------------------------
% 8.47/2.73 % (3589840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589840)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589840)Termination reason: Instruction limit
% 8.47/2.73 % (3589840)Termination phase: Saturation
% 8.47/2.73 % (3589840)Time elapsed: 0.156 s
% 8.47/2.73 % (3589840)Peak memory usage: 91 MB
% 8.47/2.73 % (3589840)Instructions burned: 285 (million)
% 8.47/2.73 % (3589844)Instruction limit reached!
% 8.47/2.73 % (3589844)------------------------------
% 8.47/2.73 % (3589844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589844)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589844)Termination reason: Instruction limit
% 8.47/2.73 % (3589844)Termination phase: Saturation
% 8.47/2.73 % (3589844)Time elapsed: 0.137 s
% 8.47/2.73 % (3589844)Peak memory usage: 88 MB
% 8.47/2.73 % (3589844)Instructions burned: 157 (million)
% 8.47/2.73 % (3589846)Instruction limit reached!
% 8.47/2.73 % (3589846)------------------------------
% 8.47/2.73 % (3589846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589846)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589846)Termination reason: Instruction limit
% 8.47/2.73 % (3589846)Termination phase: Saturation
% 8.47/2.73 % (3589846)Time elapsed: 0.200 s
% 8.47/2.73 % (3589846)Peak memory usage: 88 MB
% 8.47/2.73 % (3589846)Instructions burned: 249 (million)
% 8.47/2.73 % (3589845)Instruction limit reached!
% 8.47/2.73 % (3589845)------------------------------
% 8.47/2.73 % (3589845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589845)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589845)Termination reason: Instruction limit
% 8.47/2.73 % (3589845)Termination phase: Saturation
% 8.47/2.73 % (3589845)Time elapsed: 0.222 s
% 8.47/2.73 % (3589845)Peak memory usage: 89 MB
% 8.47/2.73 % (3589845)Instructions burned: 325 (million)
% 8.47/2.73 % (3589851)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3147191300:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 8.47/2.73 % (3589852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3862328264:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 8.47/2.73 % (3589851)Instruction limit reached!
% 8.47/2.73 % (3589851)------------------------------
% 8.47/2.73 % (3589851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589851)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589851)Termination reason: Instruction limit
% 8.47/2.73 % (3589851)Termination phase: Saturation
% 8.47/2.73 % (3589851)Time elapsed: 0.135 s
% 8.47/2.73 % (3589851)Peak memory usage: 88 MB
% 8.47/2.73 % (3589851)Instructions burned: 294 (million)
% 8.47/2.73 % (3589853)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3604974578:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.47/2.73 % (3589854)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2397774588:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 8.47/2.73 % (3589829)First to succeed.
% 8.47/2.73 % (3589829)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3589824"
% 8.47/2.73 % (3589853)Instruction limit reached!
% 8.47/2.73 % (3589853)------------------------------
% 8.47/2.73 % (3589853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589853)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589853)Termination reason: Instruction limit
% 8.47/2.73 % (3589853)Termination phase: Saturation
% 8.47/2.73 % (3589853)Time elapsed: 0.110 s
% 8.47/2.73 % (3589853)Peak memory usage: 90 MB
% 8.47/2.73 % (3589853)Instructions burned: 114 (million)
% 8.47/2.73 % (3589854)Instruction limit reached!
% 8.47/2.73 % (3589854)------------------------------
% 8.47/2.73 % (3589854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.73 % (3589854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.73 % (3589854)CaDiCaL version: 2.1.3
% 8.47/2.73 % (3589854)Termination reason: Instruction limit
% 8.47/2.73 % (3589854)Termination phase: Saturation
% 8.47/2.73 % (3589854)Time elapsed: 0.111 s
% 8.47/2.73 % (3589854)Peak memory usage: 89 MB
% 8.47/2.73 % (3589854)Instructions burned: 127 (million)
% 8.47/2.73 % (3589857)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=181321253:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 8.47/2.73 % (3589829)Refutation found. Thanks to Tanya!
% 8.47/2.73 % SZS status Theorem for theBenchmark
% 8.47/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 11.83/3.10 % (3589829)------------------------------
% 11.83/3.10 % (3589829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.83/3.10 % (3589829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.83/3.10 % (3589829)CaDiCaL version: 2.1.3
% 11.83/3.10 % (3589829)Termination reason: Refutation
% 11.83/3.10 % (3589829)Time elapsed: 0.995 s
% 11.83/3.10 % (3589829)Peak memory usage: 128 MB
% 11.83/3.10 % (3589829)Instructions burned: 962 (million)
% 11.83/3.10 % (3589829)------------------------------
% 11.83/3.10 % (3589829)------------------------------
% 11.83/3.10 % (3589824)Success in time 1.543 s
% 11.83/3.10 % Vampire exiting
%------------------------------------------------------------------------------