%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n008.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 12:00:19 PM UTC 2026
% Result : Theorem 38.33s 5.95s
% Output : Refutation 38.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 89 ( 15 unt; 9 def)
% Number of atoms : 644 ( 0 equ)
% Maximal formula atoms : 44 ( 7 avg)
% Number of connectives : 1131 ( 576 ~; 438 |; 107 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-1 aty)
% Number of variables : 325 ( 0 sgn 280 !; 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(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X21] :
( ~ r1(sK10,X21)
| ~ p2(sK11(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] :
( p2(X6)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| ~ r1(sK0,X1)
| ~ p2(X5)
| ~ r1(X5,X8)
| ~ r1(sK4(X8),X10)
| ~ p2(X10) ),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X1,X8,X6,X5] :
( p2(X6)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| ~ r1(sK0,X1)
| ~ p2(X5)
| ~ r1(X5,X8)
| r1(X8,sK4(X8)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
! [X2,X1] :
( p2(sK1(X2))
| ~ r1(X1,X2)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X1] :
( r1(X2,sK1(X2))
| ~ r1(X1,X2)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f81,plain,
! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK0,X0)
| ~ p2(sK11(sK1(sK10))) ),
inference(resolution,[],[f39,f19]) ).
fof(f83,definition,
( spl13_11
<=> p2(sK11(sK1(sK10))) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f84,plain,
( ~ p2(sK11(sK1(sK10)))
| spl13_11 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl13_12
<=> ! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f87,plain,
( ! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK0,X0) )
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( ~ spl13_11
| spl13_12 ),
inference(avatar_split_clause,[],[f81,f86,f83]) ).
fof(f111,plain,
( ! [X2,X0,X1] :
( r1(X2,sK4(X2))
| ~ r1(X1,sK11(sK1(sK10)))
| ~ r1(sK0,X0)
| ~ p2(X1)
| ~ r1(X1,X2)
| ~ r1(X0,X1) )
| spl13_11 ),
inference(resolution,[],[f34,f84]) ).
fof(f114,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,sK11(sK1(sK10)))
| ~ r1(sK0,X0)
| ~ r1(X1,X2)
| ~ r1(sK4(X2),X3)
| ~ p2(X1)
| ~ p2(X3) )
| spl13_11 ),
inference(resolution,[],[f33,f84]) ).
fof(f372,plain,
( ~ r1(sK10,sK10)
| ~ spl13_12 ),
inference(resolution,[],[f87,f21]) ).
fof(f378,plain,
( $false
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f372,f15]) ).
fof(f379,plain,
~ spl13_12,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f1128,plain,
( ! [X2,X0,X1] :
( ~ r1(X1,X0)
| ~ r1(X0,sK11(sK1(sK10)))
| ~ r1(sK0,X1)
| ~ r1(sK4(sK11(sK1(sK10))),X2)
| ~ p2(X0)
| ~ p2(X2) )
| spl13_11 ),
inference(factoring,[],[f114]) ).
fof(f1134,definition,
( spl13_73
<=> ! [X2] :
( ~ r1(sK4(sK11(sK1(sK10))),X2)
| ~ p2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl13_73])],[avatar_definition]) ).
fof(f1135,plain,
( ! [X2] :
( ~ r1(sK4(sK11(sK1(sK10))),X2)
| ~ p2(X2) )
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1137,definition,
( spl13_74
<=> ! [X0,X1] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ r1(sK0,X1)
| ~ r1(X0,sK11(sK1(sK10))) ) ),
introduced(definition,[new_symbols(definition,[spl13_74])],[avatar_definition]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ r1(X1,X0)
| ~ r1(sK0,X1)
| ~ r1(X0,sK11(sK1(sK10)))
| ~ p2(X0) )
| ~ spl13_74 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1139,plain,
( spl13_73
| spl13_74
| spl13_11 ),
inference(avatar_split_clause,[],[f1128,f83,f1137,f1134]) ).
fof(f1147,definition,
( spl13_75
<=> r1(sK10,sK1(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_75])],[avatar_definition]) ).
fof(f1148,plain,
( ~ r1(sK10,sK1(sK10))
| spl13_75 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1150,definition,
( spl13_76
<=> p2(sK1(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_76])],[avatar_definition]) ).
fof(f1151,plain,
( ~ p2(sK1(sK10))
| spl13_76 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1156,definition,
( spl13_78
<=> ! [X0] :
( ~ r1(X0,sK1(sK10))
| ~ r1(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_78])],[avatar_definition]) ).
fof(f1157,plain,
( ! [X0] :
( ~ r1(X0,sK1(sK10))
| ~ r1(sK0,X0) )
| ~ spl13_78 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1161,plain,
( ! [X0] :
( ~ r1(sK0,sK10)
| ~ r1(X0,sK10)
| ~ r1(sK0,X0) )
| ~ spl13_78 ),
inference(resolution,[],[f1157,f39]) ).
fof(f1164,plain,
( ! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK0,X0) )
| ~ spl13_78 ),
inference(forward_subsumption_resolution,[],[f1161,f16]) ).
fof(f1165,plain,
( spl13_12
| ~ spl13_78 ),
inference(avatar_split_clause,[],[f1164,f1156,f86]) ).
fof(f1247,plain,
( ! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK0,X0) )
| spl13_75 ),
inference(resolution,[],[f1148,f39]) ).
fof(f1249,plain,
( spl13_12
| spl13_75 ),
inference(avatar_split_clause,[],[f1247,f1147,f86]) ).
fof(f1331,plain,
( ! [X0] :
( ~ r1(X0,sK10)
| ~ r1(sK0,X0) )
| spl13_76 ),
inference(resolution,[],[f1151,f37]) ).
fof(f1334,plain,
( spl13_12
| spl13_76 ),
inference(avatar_split_clause,[],[f1331,f1150,f86]) ).
fof(f4080,plain,
( ! [X0] :
( ~ p2(sK1(sK4(sK11(sK1(sK10)))))
| ~ r1(X0,sK4(sK11(sK1(sK10))))
| ~ r1(sK0,X0) )
| ~ spl13_73 ),
inference(resolution,[],[f1135,f39]) ).
fof(f4150,plain,
( ! [X0] :
( ~ r1(X0,sK4(sK11(sK1(sK10))))
| ~ r1(sK0,X0) )
| ~ spl13_73 ),
inference(forward_subsumption_resolution,[],[f4080,f37]) ).
fof(f6620,definition,
( spl13_299
<=> r1(sK0,sK1(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_299])],[avatar_definition]) ).
fof(f6621,plain,
( ~ r1(sK0,sK1(sK10))
| spl13_299 ),
inference(avatar_component_clause,[],[f6620]) ).
fof(f6694,plain,
( ! [X0] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK1(sK10)) )
| spl13_299 ),
inference(resolution,[],[f6621,f16]) ).
fof(f6695,plain,
( spl13_78
| spl13_299 ),
inference(avatar_split_clause,[],[f6694,f6620,f1156]) ).
fof(f8701,plain,
( ! [X0,X1] :
( ~ r1(sK0,sK11(sK1(sK10)))
| ~ r1(X0,sK11(sK1(sK10)))
| ~ r1(sK0,X1)
| ~ p2(X0)
| ~ r1(X0,sK11(sK1(sK10)))
| ~ r1(X1,X0) )
| spl13_11
| ~ spl13_73 ),
inference(resolution,[],[f4150,f111]) ).
fof(f8707,plain,
( ! [X0,X1] :
( ~ r1(sK0,sK11(sK1(sK10)))
| ~ r1(X0,sK11(sK1(sK10)))
| ~ r1(sK0,X1)
| ~ p2(X0)
| ~ r1(X1,X0) )
| spl13_11
| ~ spl13_73 ),
inference(duplicate_literal_removal,[],[f8701]) ).
fof(f8712,definition,
( spl13_441
<=> r1(sK0,sK11(sK1(sK10))) ),
introduced(definition,[new_symbols(definition,[spl13_441])],[avatar_definition]) ).
fof(f8713,plain,
( ~ r1(sK0,sK11(sK1(sK10)))
| spl13_441 ),
inference(avatar_component_clause,[],[f8712]) ).
fof(f8715,plain,
( spl13_74
| ~ spl13_441
| spl13_11
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f8707,f1134,f83,f8712,f1137]) ).
fof(f8724,plain,
( ! [X0] :
( ~ r1(X0,sK11(sK1(sK10)))
| ~ r1(sK0,X0) )
| spl13_441 ),
inference(resolution,[],[f8713,f16]) ).
fof(f8725,plain,
( ~ r1(sK0,sK1(sK10))
| ~ r1(sK10,sK1(sK10))
| spl13_441 ),
inference(resolution,[],[f8724,f20]) ).
fof(f8728,plain,
( ~ spl13_75
| ~ spl13_299
| spl13_441 ),
inference(avatar_split_clause,[],[f8725,f8712,f6620,f1147]) ).
fof(f8751,plain,
( ! [X0] :
( ~ r1(X0,sK1(sK10))
| ~ r1(sK0,X0)
| ~ p2(sK1(sK10))
| ~ r1(sK10,sK1(sK10)) )
| ~ spl13_74 ),
inference(resolution,[],[f1138,f20]) ).
fof(f8756,plain,
( ~ spl13_75
| ~ spl13_76
| spl13_78
| ~ spl13_74 ),
inference(avatar_split_clause,[],[f8751,f1137,f1156,f1150,f1147]) ).
cnf(s9,plain,
( ~ spl13_11
| spl13_12 ),
inference(sat_conversion,[],[f88]) ).
cnf(s31,plain,
~ spl13_12,
inference(sat_conversion,[],[f379]) ).
cnf(s60,plain,
( spl13_11
| spl13_73
| spl13_74 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s62,plain,
( spl13_12
| ~ spl13_78 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s65,plain,
( spl13_12
| spl13_75 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s68,plain,
( spl13_12
| spl13_76 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s309,plain,
( spl13_78
| spl13_299 ),
inference(sat_conversion,[],[f6695]) ).
cnf(s437,plain,
( spl13_11
| ~ spl13_73
| spl13_74
| ~ spl13_441 ),
inference(sat_conversion,[],[f8715]) ).
cnf(s440,plain,
( ~ spl13_75
| ~ spl13_299
| spl13_441 ),
inference(sat_conversion,[],[f8728]) ).
cnf(s441,plain,
( ~ spl13_74
| ~ spl13_75
| ~ spl13_76
| spl13_78 ),
inference(sat_conversion,[],[f8756]) ).
cnf(s453,plain,
spl13_76,
inference(rat,[],[s68,s31]) ).
cnf(s454,plain,
spl13_75,
inference(rat,[],[s65,s31]) ).
cnf(s455,plain,
~ spl13_78,
inference(rat,[],[s62,s31]) ).
cnf(s456,plain,
~ spl13_74,
inference(rat,[],[s441,s455,s453,s454]) ).
cnf(s457,plain,
spl13_299,
inference(rat,[],[s309,s455]) ).
cnf(s458,plain,
spl13_441,
inference(rat,[],[s440,s454,s457]) ).
cnf(s464,plain,
~ spl13_11,
inference(rat,[],[s9,s31]) ).
cnf(s465,plain,
~ spl13_73,
inference(rat,[],[s437,s458,s456,s464]) ).
cnf(s468,plain,
$false,
inference(rat,[],[s60,s456,s465,s464]) ).
fof(f8759,plain,
$false,
inference(avatar_sat_refutation,[],[s468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 16:39:54 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.04/2.52 % (1436124)Will run a generic schedule for satisfiability detection.
% 14.04/2.52 % (1436132)dis+10_1_sil=32000:sp=arity:random_seed=755099951:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.04/2.52 % (1436130)% WARNING: option uhcvi not known.
% 14.04/2.52 % (1436133)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4178186367:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.04/2.52 % (1436129)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3031803640_2999 on theBenchmark for (2999ds/0Mi)
% 14.04/2.52 % (1436130)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2556447455:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.04/2.52 % (1436131)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1086642398:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.04/2.52 % (1436135)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2268299097:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.04/2.52 % (1436134)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3692750312:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.04/2.52 % TRYING [1]
% 14.04/2.52 % TRYING [2]
% 14.04/2.52 % TRYING [3]
% 14.04/2.52 % TRYING [4]
% 14.04/2.52 % TRYING [5]
% 14.04/2.52 % (1436132)Instruction limit reached!
% 14.04/2.52 % (1436132)------------------------------
% 14.04/2.52 % (1436132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.52 % (1436132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.52 % (1436132)CaDiCaL version: 2.1.3
% 14.04/2.52 % (1436132)Termination reason: Instruction limit
% 14.04/2.52 % (1436132)Termination phase: Saturation
% 14.04/2.52 % (1436132)Time elapsed: 0.037 s
% 14.04/2.52 % (1436132)Peak memory usage: 13 MB
% 14.04/2.52 % (1436132)Instructions burned: 104 (million)
% 14.04/2.52 % (1436143)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4184684382:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.04/2.52 % TRYING [1]
% 14.04/2.52 % TRYING [2]
% 14.04/2.52 % TRYING [3]
% 14.04/2.52 % TRYING [4]
% 14.04/2.52 % TRYING [5]
% 14.04/2.52 % TRYING [6]
% 14.04/2.52 % TRYING [6]
% 14.04/2.52 % (1436133)Instruction limit reached!
% 14.04/2.52 % (1436133)------------------------------
% 14.04/2.52 % (1436133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.52 % (1436133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.52 % (1436133)CaDiCaL version: 2.1.3
% 14.04/2.52 % (1436133)Termination reason: Instruction limit
% 14.04/2.52 % (1436133)Termination phase: Saturation
% 14.04/2.52 % (1436133)Time elapsed: 0.061 s
% 14.04/2.52 % (1436133)Peak memory usage: 12 MB
% 14.04/2.52 % (1436133)Instructions burned: 116 (million)
% 14.04/2.52 % (1436145)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2848009297:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.04/2.52 % (1436134)Instruction limit reached!
% 14.04/2.52 % (1436134)------------------------------
% 14.04/2.52 % (1436134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.52 % (1436134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.52 % (1436134)CaDiCaL version: 2.1.3
% 14.04/2.52 % (1436134)Termination reason: Instruction limit
% 14.04/2.52 % (1436134)Termination phase: Saturation
% 14.04/2.52 % (1436134)Time elapsed: 0.079 s
% 14.04/2.52 % (1436134)Peak memory usage: 14 MB
% 14.04/2.52 % (1436134)Instructions burned: 132 (million)
% 14.04/2.52 % TRYING [7]
% 14.04/2.52 % (1436135)Instruction limit reached!
% 14.04/2.52 % (1436135)------------------------------
% 14.04/2.52 % (1436135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.52 % (1436135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.52 % (1436135)CaDiCaL version: 2.1.3
% 14.04/2.52 % (1436135)Termination reason: Instruction limit
% 14.04/2.52 % (1436135)Termination phase: Saturation
% 14.04/2.52 % (1436135)Time elapsed: 0.098 s
% 14.04/2.52 % (1436135)Peak memory usage: 13 MB
% 14.04/2.52 % (1436135)Instructions burned: 160 (million)
% 14.04/2.52 % (1436147)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2843478012:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.04/2.52 % (1436148)ott-21_1_sil=16000:fs=off:random_seed=3824339506:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.04/2.52 % TRYING [8]
% 14.04/2.52 % (1436145)Instruction limit reached!
% 14.04/2.52 % (1436145)------------------------------
% 14.04/2.52 % (1436145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436145)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436145)Termination reason: Instruction limit
% 38.33/5.95 % (1436145)Termination phase: Saturation
% 38.33/5.95 % (1436145)Time elapsed: 0.076 s
% 38.33/5.95 % (1436145)Peak memory usage: 13 MB
% 38.33/5.95 % (1436145)Instructions burned: 132 (million)
% 38.33/5.95 % TRYING [7]
% 38.33/5.95 % (1436151)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1474833687:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 38.33/5.95 % (1436148)Instruction limit reached!
% 38.33/5.95 % (1436148)------------------------------
% 38.33/5.95 % (1436148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436148)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436148)Termination reason: Instruction limit
% 38.33/5.95 % (1436148)Termination phase: Saturation
% 38.33/5.95 % (1436148)Time elapsed: 0.092 s
% 38.33/5.95 % (1436148)Peak memory usage: 12 MB
% 38.33/5.95 % (1436148)Instructions burned: 181 (million)
% 38.33/5.95 % (1436153)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2137039684:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.33/5.95 % TRYING [1]
% 38.33/5.95 % TRYING [2]
% 38.33/5.95 % TRYING [3]
% 38.33/5.95 % TRYING [4]
% 38.33/5.95 % TRYING [5]
% 38.33/5.95 % (1436143)Instruction limit reached!
% 38.33/5.95 % (1436143)------------------------------
% 38.33/5.95 % (1436143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436143)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436143)Termination reason: Instruction limit
% 38.33/5.95 % (1436143)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436143)Time elapsed: 0.218 s
% 38.33/5.95 % (1436143)Peak memory usage: 13 MB
% 38.33/5.95 % (1436143)Instructions burned: 715 (million)
% 38.33/5.95 % TRYING [6]
% 38.33/5.95 % (1436155)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3130489834:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 38.33/5.95 % TRYING [7]
% 38.33/5.95 % (1436151)Instruction limit reached!
% 38.33/5.95 % (1436151)------------------------------
% 38.33/5.95 % (1436151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436151)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436151)Termination reason: Instruction limit
% 38.33/5.95 % (1436151)Termination phase: Saturation
% 38.33/5.95 % (1436151)Time elapsed: 0.273 s
% 38.33/5.95 % (1436151)Peak memory usage: 15 MB
% 38.33/5.95 % (1436151)Instructions burned: 479 (million)
% 38.33/5.95 % (1436147)Instruction limit reached!
% 38.33/5.95 % (1436147)------------------------------
% 38.33/5.95 % (1436147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436147)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436147)Termination reason: Instruction limit
% 38.33/5.95 % (1436147)Termination phase: Saturation
% 38.33/5.95 % (1436147)Time elapsed: 0.357 s
% 38.33/5.95 % (1436147)Peak memory usage: 19 MB
% 38.33/5.95 % (1436147)Instructions burned: 685 (million)
% 38.33/5.95 % TRYING [8]
% 38.33/5.95 % (1436157)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3927108583:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 38.33/5.95 % TRYING [14]
% 38.33/5.95 % (1436158)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4052653980:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 38.33/5.95 % TRYING [8]
% 38.33/5.95 % (1436155)Instruction limit reached!
% 38.33/5.95 % (1436155)------------------------------
% 38.33/5.95 % (1436155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436155)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436155)Termination reason: Instruction limit
% 38.33/5.95 % (1436155)Termination phase: Saturation
% 38.33/5.95 % (1436155)Time elapsed: 0.333 s
% 38.33/5.95 % (1436155)Peak memory usage: 26 MB
% 38.33/5.95 % (1436155)Instructions burned: 1180 (million)
% 38.33/5.95 % (1436161)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1122187739:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 38.33/5.95 % (1436153)Instruction limit reached!
% 38.33/5.95 % (1436153)------------------------------
% 38.33/5.95 % (1436153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436153)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436153)Termination reason: Instruction limit
% 38.33/5.95 % (1436153)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436153)Time elapsed: 0.487 s
% 38.33/5.95 % (1436153)Peak memory usage: 12 MB
% 38.33/5.95 % (1436153)Instructions burned: 865 (million)
% 38.33/5.95 % (1436163)fmb+10_1_sil=64000:random_seed=2984277194:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 38.33/5.95 % TRYING [1]
% 38.33/5.95 % TRYING [2]
% 38.33/5.95 % TRYING [3]
% 38.33/5.95 % TRYING [4]
% 38.33/5.95 % TRYING [5]
% 38.33/5.95 % TRYING [6]
% 38.33/5.95 % TRYING [7]
% 38.33/5.95 % (1436161)Instruction limit reached!
% 38.33/5.95 % (1436161)------------------------------
% 38.33/5.95 % (1436161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436161)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436161)Termination reason: Instruction limit
% 38.33/5.95 % (1436161)Termination phase: Saturation
% 38.33/5.95 % (1436161)Time elapsed: 0.204 s
% 38.33/5.95 % (1436161)Peak memory usage: 13 MB
% 38.33/5.95 % (1436161)Instructions burned: 879 (million)
% 38.33/5.95 % (1436165)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=744902776:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 38.33/5.95 % TRYING [20]
% 38.33/5.95 % TRYING [8]
% 38.33/5.95 % (1436158)Instruction limit reached!
% 38.33/5.95 % (1436158)------------------------------
% 38.33/5.95 % (1436158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436158)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436158)Termination reason: Instruction limit
% 38.33/5.95 % (1436158)Termination phase: Saturation
% 38.33/5.95 % (1436158)Time elapsed: 0.381 s
% 38.33/5.95 % (1436158)Peak memory usage: 19 MB
% 38.33/5.95 % (1436158)Instructions burned: 692 (million)
% 38.33/5.95 % (1436167)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=339477033:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 38.33/5.95 % TRYING [8]
% 38.33/5.95 % (1436157)Instruction limit reached!
% 38.33/5.95 % (1436157)------------------------------
% 38.33/5.95 % (1436157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436157)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436157)Termination reason: Instruction limit
% 38.33/5.95 % (1436157)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436157)Time elapsed: 0.446 s
% 38.33/5.95 % (1436157)Peak memory usage: 16 MB
% 38.33/5.95 % (1436157)Instructions burned: 889 (million)
% 38.33/5.95 % (1436169)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1382792883:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 38.33/5.95 % TRYING [9]
% 38.33/5.95 % (1436167)Instruction limit reached!
% 38.33/5.95 % (1436167)------------------------------
% 38.33/5.95 % (1436167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436167)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436167)Termination reason: Instruction limit
% 38.33/5.95 % (1436167)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436167)Time elapsed: 0.511 s
% 38.33/5.95 % (1436167)Peak memory usage: 13 MB
% 38.33/5.95 % (1436167)Instructions burned: 920 (million)
% 38.33/5.95 % (1436171)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4194545465:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 38.33/5.95 % TRYING [9]
% 38.33/5.95 % (1436171)Instruction limit reached!
% 38.33/5.95 % (1436171)------------------------------
% 38.33/5.95 % (1436171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436171)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436171)Termination reason: Instruction limit
% 38.33/5.95 % (1436171)Termination phase: Saturation
% 38.33/5.95 % (1436171)Time elapsed: 0.628 s
% 38.33/5.95 % (1436171)Peak memory usage: 24 MB
% 38.33/5.95 % (1436171)Instructions burned: 1472 (million)
% 38.33/5.95 % (1436173)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1420626154:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 38.33/5.95 % TRYING [77]
% 38.33/5.95 % TRYING [10]
% 38.33/5.95 % (1436165)Instruction limit reached!
% 38.33/5.95 % (1436165)------------------------------
% 38.33/5.95 % (1436165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436165)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436165)Termination reason: Instruction limit
% 38.33/5.95 % (1436165)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436165)Time elapsed: 2.393 s
% 38.33/5.95 % (1436165)Peak memory usage: 31 MB
% 38.33/5.95 % (1436165)Instructions burned: 9516 (million)
% 38.33/5.95 % (1436169)Instruction limit reached!
% 38.33/5.95 % (1436169)------------------------------
% 38.33/5.95 % (1436169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436169)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436169)Termination reason: Instruction limit
% 38.33/5.95 % (1436169)Termination phase: Saturation
% 38.33/5.95 % (1436169)Time elapsed: 2.293 s
% 38.33/5.95 % (1436169)Peak memory usage: 15 MB
% 38.33/5.95 % (1436169)Instructions burned: 5133 (million)
% 38.33/5.95 % (1436175)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2959667022:fmbsr=2.30978:i=2174_2967 on theBenchmark for (2967ds/2174Mi)
% 38.33/5.95 % TRYING [16]
% 38.33/5.95 % (1436176)ott-2_1_sil=16000:newcnf=on:random_seed=3313862118:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 38.33/5.95 % (1436176)Instruction limit reached!
% 38.33/5.95 % (1436176)------------------------------
% 38.33/5.95 % (1436176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436176)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436176)Termination reason: Instruction limit
% 38.33/5.95 % (1436176)Termination phase: Saturation
% 38.33/5.95 % (1436176)Time elapsed: 0.454 s
% 38.33/5.95 % (1436176)Peak memory usage: 15 MB
% 38.33/5.95 % (1436176)Instructions burned: 870 (million)
% 38.33/5.95 % (1436179)ott+10_1_sil=32000:tgt=ground:random_seed=4021794527:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 38.33/5.95 % (1436175)Instruction limit reached!
% 38.33/5.95 % (1436175)------------------------------
% 38.33/5.95 % (1436175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436175)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436175)Termination reason: Instruction limit
% 38.33/5.95 % (1436175)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436175)Time elapsed: 0.562 s
% 38.33/5.95 % (1436175)Peak memory usage: 22 MB
% 38.33/5.95 % (1436175)Instructions burned: 2176 (million)
% 38.33/5.95 % (1436181)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2585241599:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 38.33/5.95 % TRYING [1]
% 38.33/5.95 % TRYING [2]
% 38.33/5.95 % TRYING [3]
% 38.33/5.95 % TRYING [4]
% 38.33/5.95 % TRYING [5]
% 38.33/5.95 % TRYING [6]
% 38.33/5.95 % TRYING [7]
% 38.33/5.95 % TRYING [8]
% 38.33/5.95 % TRYING [9]
% 38.33/5.95 % (1436173)Instruction limit reached!
% 38.33/5.95 % (1436173)------------------------------
% 38.33/5.95 % (1436173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436173)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436173)Termination reason: Instruction limit
% 38.33/5.95 % (1436173)Termination phase: Finite model building SAT solving
% 38.33/5.95 % (1436173)Time elapsed: 2.813 s
% 38.33/5.95 % (1436173)Peak memory usage: 433 MB
% 38.33/5.95 % (1436173)Instructions burned: 6324 (million)
% 38.33/5.95 % (1436183)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2297679728:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 38.33/5.95 % (1436183) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1436124-1436183"...
% 38.33/5.95 % (1436183)...printing done.
% 38.33/5.95 % (1436183)Refutation found. Thanks to Tanya!
% 38.33/5.95 % SZS status Theorem for theBenchmark
% 38.33/5.95 % SZS output start Proof for theBenchmark
% See solution above
% 38.33/5.95 % (1436183)------------------------------
% 38.33/5.95 % (1436183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.33/5.95 % (1436183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.33/5.95 % (1436183)CaDiCaL version: 2.1.3
% 38.33/5.95 % (1436183)Termination reason: Refutation
% 38.33/5.95 % (1436183)Time elapsed: 0.538 s
% 38.33/5.95 % (1436183)Peak memory usage: 15 MB
% 38.33/5.95 % (1436183)Instructions burned: 1146 (million)
% 38.33/5.95 % (1436124)Success in time 5.526 s
% 38.33/5.95 % Vampire exiting
%------------------------------------------------------------------------------