%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL672+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 : n012.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 11:59:58 AM UTC 2026
% Result : Theorem 0.07s 0.36s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 28 unt; 9 def)
% Number of atoms : 600 ( 0 equ)
% Maximal formula atoms : 49 ( 7 avg)
% Number of connectives : 1032 ( 515 ~; 405 |; 103 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-1 aty)
% Number of variables : 300 ( 0 sgn 273 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
& p1(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [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) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
& p1(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| $false ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [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) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4) ) )
& p1(X2) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| p1(X5) ) )
| ( ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6) )
& ~ ! [X7] :
( ~ r1(X0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
& ~ ! [X11] :
( ~ r1(X8,X11)
| p1(X11) ) ) ) )
& ~ ! [X12] :
( ~ r1(X0,X12)
| p1(X12) ) )
| ( ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13) )
& ~ ! [X14] :
( ~ r1(X0,X14)
| ~ ( ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) ) )
& ~ ! [X18] :
( ~ r1(X14,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) ) ) )
& ~ ! [X20] :
( ~ r1(X0,X20)
| p1(X20) ) )
| ( ~ ! [X21] :
( ~ r1(X0,X21)
| p2(X21) )
& ~ ! [X22] :
( ~ r1(X0,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| $false ) )
& ~ ! [X24] :
( ~ r1(X0,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X0,X25)
| p2(X25) )
| ! [X26] :
( ~ r1(X0,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) )
| ! [X30] :
( ~ r1(X0,X30)
| p1(X30) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4) ) )
& p1(X2) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| p1(X5) ) )
| ( ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6) )
& ~ ! [X7] :
( ~ r1(X0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
& ~ ! [X11] :
( ~ r1(X8,X11)
| p1(X11) ) ) ) )
& ~ ! [X12] :
( ~ r1(X0,X12)
| p1(X12) ) )
| ( ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13) )
& ~ ! [X14] :
( ~ r1(X0,X14)
| ~ ( ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) ) )
& ~ ! [X18] :
( ~ r1(X14,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) ) ) )
& ~ ! [X20] :
( ~ r1(X0,X20)
| p1(X20) ) )
| ( ~ ! [X21] :
( ~ r1(X0,X21)
| p2(X21) )
& ~ ! [X22] :
( ~ r1(X0,X22)
| ~ ! [X23] : ~ r1(X22,X23) )
& ~ ! [X24] :
( ~ r1(X0,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X0,X25)
| p2(X25) )
| ! [X26] :
( ~ r1(X0,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) )
| ! [X30] :
( ~ r1(X0,X30)
| p1(X30) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
& ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ p1(X4) ) )
& p1(X2) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| p1(X5) ) )
| ( ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6) )
& ~ ! [X7] :
( ~ r1(X0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
& ~ ! [X11] :
( ~ r1(X8,X11)
| p1(X11) ) ) ) )
& ~ ! [X12] :
( ~ r1(X0,X12)
| p1(X12) ) )
| ( ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13) )
& ~ ! [X14] :
( ~ r1(X0,X14)
| ~ ( ~ ! [X15] :
( ~ r1(X14,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) ) )
& ~ ! [X18] :
( ~ r1(X14,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) ) ) )
& ~ ! [X20] :
( ~ r1(X0,X20)
| p1(X20) ) )
| ( ~ ! [X21] :
( ~ r1(X0,X21)
| p2(X21) )
& ~ ! [X22] :
( ~ r1(X0,X22)
| ~ ! [X23] : ~ r1(X22,X23) )
& ~ ! [X24] :
( ~ r1(X0,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X0,X25)
| p2(X25) )
| ! [X26] :
( ~ r1(X0,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) )
| ! [X30] :
( ~ r1(X0,X30)
| p1(X30) ) ),
inference(flattening,[],[f6]) ).
fof(f10,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& p1(X4) ) )
| ~ p1(X2) )
| ! [X5] :
( ~ r1(X0,X5)
| p1(X5) ) )
& ( ! [X6] :
( ~ r1(X0,X6)
| p2(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) )
| ! [X11] :
( ~ r1(X8,X11)
| p1(X11) ) ) )
| ! [X12] :
( ~ r1(X0,X12)
| p1(X12) ) )
& ( ! [X13] :
( ~ r1(X0,X13)
| p2(X13) )
| ! [X14] :
( ~ r1(X0,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) ) )
| ! [X18] :
( ~ r1(X14,X18)
| ? [X19] :
( r1(X18,X19)
& ~ p1(X19) ) ) )
| ! [X20] :
( ~ r1(X0,X20)
| p1(X20) ) )
& ( ! [X21] :
( ~ r1(X0,X21)
| p2(X21) )
| ! [X22] :
( ~ r1(X0,X22)
| ? [X23] : r1(X22,X23) )
| ! [X24] :
( ~ r1(X0,X24)
| p1(X24) ) )
& ? [X25] :
( r1(X0,X25)
& ~ p2(X25) )
& ? [X26] :
( r1(X0,X26)
& ? [X27] :
( r1(X26,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ? [X30] :
( r1(X0,X30)
& ~ p1(X30) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& p1(X4) ) )
| ~ p1(X2) )
| ! [X5] :
( ~ r1(X0,X5)
| p1(X5) ) )
& ( ! [X6] :
( ~ r1(X0,X6)
| p2(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) )
| ! [X11] :
( ~ r1(X8,X11)
| p1(X11) ) ) )
| ! [X12] :
( ~ r1(X0,X12)
| p1(X12) ) )
& ( ! [X13] :
( ~ r1(X0,X13)
| p2(X13) )
| ! [X14] :
( ~ r1(X0,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) ) )
| ! [X18] :
( ~ r1(X14,X18)
| ? [X19] :
( r1(X18,X19)
& ~ p1(X19) ) ) )
| ! [X20] :
( ~ r1(X0,X20)
| p1(X20) ) )
& ( ! [X21] :
( ~ r1(X0,X21)
| p2(X21) )
| ! [X22] :
( ~ r1(X0,X22)
| ? [X23] : r1(X22,X23) )
| ! [X24] :
( ~ r1(X0,X24)
| p1(X24) ) )
& ? [X25] :
( r1(X0,X25)
& ~ p2(X25) )
& ? [X26] :
( r1(X0,X26)
& ? [X27] :
( r1(X26,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ? [X30] :
( r1(X0,X30)
& ~ p1(X30) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
( ( ! [X1] :
( ~ r1(sK0,X1)
| p2(X1) )
| ! [X2] :
( ~ r1(sK0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( r1(X3,sK1(X3))
& p1(sK1(X3)) ) )
| ~ p1(X2) )
| ! [X5] :
( ~ r1(sK0,X5)
| p1(X5) ) )
& ( ! [X6] :
( ~ r1(sK0,X6)
| p2(X6) )
| ! [X7] :
( ~ r1(sK0,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ( r1(X9,sK2(X9))
& ~ p1(sK2(X9)) ) )
| ! [X11] :
( ~ r1(X8,X11)
| p1(X11) ) ) )
| ! [X12] :
( ~ r1(sK0,X12)
| p1(X12) ) )
& ( ! [X13] :
( ~ r1(sK0,X13)
| p2(X13) )
| ! [X14] :
( ~ r1(sK0,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ( r1(X15,sK3(X15))
& ! [X17] :
( ~ r1(sK3(X15),X17)
| p1(X17) ) ) )
| ! [X18] :
( ~ r1(X14,X18)
| ( r1(X18,sK4(X18))
& ~ p1(sK4(X18)) ) ) )
| ! [X20] :
( ~ r1(sK0,X20)
| p1(X20) ) )
& ( ! [X21] :
( ~ r1(sK0,X21)
| p2(X21) )
| ! [X22] :
( ~ r1(sK0,X22)
| r1(X22,sK5(X22)) )
| ! [X24] :
( ~ r1(sK0,X24)
| p1(X24) ) )
& r1(sK0,sK6)
& ~ p2(sK6)
& r1(sK0,sK7)
& r1(sK7,sK8)
& ! [X28] :
( ~ r1(sK8,X28)
| p1(X28) )
& r1(sK7,sK9)
& ~ p1(sK9)
& r1(sK0,sK10)
& ~ p1(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X4,sK1(X3)),skolemize(X10,sK2(X9)),skolemize(X16,sK3(X15)),skolemize(X19,sK4(X18)),skolemize(X23,sK5(X22)),skolemize(X25,sK6),skolemize(X26,sK7),skolemize(X27,sK8),skolemize(X29,sK9),skolemize(X30,sK10)],[f11]) ).
fof(f13,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
~ p1(sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f16,plain,
r1(sK0,sK10),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
~ p1(sK9),
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
r1(sK7,sK9),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
! [X28] :
( ~ r1(sK8,X28)
| p1(X28) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
r1(sK7,sK8),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
r1(sK0,sK7),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
~ p2(sK6),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
r1(sK0,sK6),
inference(cnf_transformation,[],[f12]) ).
fof(f29,plain,
! [X11,X8,X6,X9,X7,X12] :
( ~ r1(sK0,X6)
| p2(X6)
| ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ p1(sK2(X9))
| ~ r1(X8,X11)
| p1(X11)
| ~ r1(sK0,X12)
| p1(X12) ),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X11,X8,X6,X9,X7,X12] :
( ~ r1(sK0,X6)
| p2(X6)
| ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| r1(X9,sK2(X9))
| ~ r1(X8,X11)
| p1(X11)
| ~ r1(sK0,X12)
| p1(X12) ),
inference(cnf_transformation,[],[f12]) ).
fof(f35,plain,
! [X11,X8,X6,X9,X7,X12] :
( ~ r1(sK0,X6)
| p2(X6)
| ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| r1(X9,sK2(X9))
| ~ r1(X8,X11)
| ~ p1(X11)
| ~ r1(sK0,X12)
| ~ p1(X12) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f36,plain,
! [X11,X8,X6,X9,X7,X12] :
( ~ r1(sK0,X6)
| p2(X6)
| ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p1(sK2(X9))
| ~ r1(X8,X11)
| ~ p1(X11)
| ~ r1(sK0,X12)
| ~ p1(X12) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f42,plain,
! [X28] :
( ~ r1(sK8,X28)
| ~ p1(X28) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f43,plain,
p1(sK9),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f44,plain,
p1(sK10),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f46,definition,
( spl11_1
<=> ! [X24] :
( ~ r1(sK0,X24)
| ~ p1(X24) ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f47,plain,
( ! [X24] :
( ~ r1(sK0,X24)
| ~ p1(X24) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f52,definition,
( spl11_3
<=> ! [X21] :
( ~ r1(sK0,X21)
| p2(X21) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f53,plain,
( ! [X21] :
( p2(X21)
| ~ r1(sK0,X21) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f72,definition,
( spl11_8
<=> ! [X11,X9,X8,X7] :
( ~ r1(sK0,X7)
| ~ p1(X11)
| ~ r1(X8,X11)
| p1(sK2(X9))
| ~ r1(X8,X9)
| ~ r1(X7,X8) ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f73,plain,
( ! [X11,X8,X9,X7] :
( p1(sK2(X9))
| ~ p1(X11)
| ~ r1(X8,X11)
| ~ r1(sK0,X7)
| ~ r1(X8,X9)
| ~ r1(X7,X8) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( spl11_1
| spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f36,f52,f72,f46]) ).
fof(f76,definition,
( spl11_9
<=> ! [X11,X9,X8,X7] :
( ~ r1(sK0,X7)
| ~ p1(X11)
| ~ r1(X8,X11)
| r1(X9,sK2(X9))
| ~ r1(X8,X9)
| ~ r1(X7,X8) ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f77,plain,
( ! [X11,X8,X9,X7] :
( r1(X9,sK2(X9))
| ~ p1(X11)
| ~ r1(X8,X11)
| ~ r1(sK0,X7)
| ~ r1(X8,X9)
| ~ r1(X7,X8) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( spl11_1
| spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f35,f52,f76,f46]) ).
fof(f87,plain,
( ~ r1(sK0,sK6)
| ~ spl11_3 ),
inference(resolution,[],[f53,f22]) ).
fof(f88,plain,
( $false
| ~ spl11_3 ),
inference(resolution,[],[f87,f23]) ).
fof(f89,plain,
~ spl11_3,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f90,plain,
( ~ p1(sK10)
| ~ spl11_1 ),
inference(resolution,[],[f47,f16]) ).
fof(f93,plain,
( $false
| ~ spl11_1 ),
inference(resolution,[],[f90,f44]) ).
fof(f94,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f240,plain,
( ! [X2,X0,X1] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK0,X2)
| ~ r1(X1,sK8)
| ~ r1(X2,X1)
| ~ p1(sK2(sK8)) )
| ~ spl11_9 ),
inference(resolution,[],[f77,f42]) ).
fof(f242,definition,
( spl11_39
<=> p1(sK2(sK8)) ),
introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).
fof(f244,plain,
( ~ p1(sK2(sK8))
| spl11_39 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl11_40
<=> ! [X2,X0,X1] :
( ~ p1(X0)
| ~ r1(X1,sK8)
| ~ r1(sK0,X2)
| ~ r1(X2,X1)
| ~ r1(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).
fof(f247,plain,
( ! [X2,X0,X1] :
( ~ r1(sK0,X2)
| ~ r1(X1,sK8)
| ~ r1(X2,X1)
| ~ r1(X1,X0)
| ~ p1(X0) )
| ~ spl11_40 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ spl11_39
| spl11_40
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f240,f76,f246,f242]) ).
fof(f257,plain,
( ! [X2,X0,X1] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK0,X2)
| ~ r1(X1,sK8)
| ~ r1(X2,X1) )
| ~ spl11_8
| spl11_39 ),
inference(resolution,[],[f244,f73]) ).
fof(f272,plain,
( spl11_40
| ~ spl11_8
| spl11_39 ),
inference(avatar_split_clause,[],[f257,f242,f72,f246]) ).
fof(f291,plain,
( ! [X0] :
( ~ r1(sK0,X0)
| ~ r1(sK7,sK8)
| ~ r1(X0,sK7)
| ~ p1(sK9) )
| ~ spl11_40 ),
inference(resolution,[],[f247,f18]) ).
fof(f301,definition,
( spl11_49
<=> p1(sK9) ),
introduced(definition,[new_symbols(definition,[spl11_49])],[avatar_definition]) ).
fof(f303,plain,
( ~ p1(sK9)
| spl11_49 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl11_50
<=> r1(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl11_50])],[avatar_definition]) ).
fof(f307,plain,
( ~ r1(sK7,sK8)
| spl11_50 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f309,definition,
( spl11_51
<=> ! [X0] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl11_51])],[avatar_definition]) ).
fof(f310,plain,
( ! [X0] :
( ~ r1(sK0,X0)
| ~ r1(X0,sK7) )
| ~ spl11_51 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( ~ spl11_49
| ~ spl11_50
| spl11_51
| ~ spl11_40 ),
inference(avatar_split_clause,[],[f291,f246,f309,f305,f301]) ).
fof(f316,plain,
( $false
| spl11_49 ),
inference(resolution,[],[f303,f43]) ).
fof(f319,plain,
spl11_49,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f332,plain,
( $false
| spl11_50 ),
inference(resolution,[],[f307,f20]) ).
fof(f333,plain,
spl11_50,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f334,plain,
( ~ r1(sK0,sK0)
| ~ spl11_51 ),
inference(resolution,[],[f310,f21]) ).
fof(f504,plain,
( $false
| ~ spl11_51 ),
inference(resolution,[],[f13,f334]) ).
fof(f513,plain,
~ spl11_51,
inference(avatar_contradiction_clause,[],[f504]) ).
cnf(s6,plain,
( spl11_1
| spl11_3
| spl11_8 ),
inference(sat_conversion,[],[f74]) ).
cnf(s7,plain,
( spl11_1
| spl11_3
| spl11_9 ),
inference(sat_conversion,[],[f78]) ).
cnf(s10,plain,
~ spl11_3,
inference(sat_conversion,[],[f89]) ).
cnf(s11,plain,
~ spl11_1,
inference(sat_conversion,[],[f94]) ).
cnf(s31,plain,
( ~ spl11_9
| ~ spl11_39
| spl11_40 ),
inference(sat_conversion,[],[f248]) ).
cnf(s35,plain,
( ~ spl11_8
| spl11_39
| spl11_40 ),
inference(sat_conversion,[],[f272]) ).
cnf(s39,plain,
( ~ spl11_40
| ~ spl11_49
| ~ spl11_50
| spl11_51 ),
inference(sat_conversion,[],[f311]) ).
cnf(s41,plain,
spl11_49,
inference(sat_conversion,[],[f319]) ).
cnf(s44,plain,
spl11_50,
inference(sat_conversion,[],[f333]) ).
cnf(s62,plain,
~ spl11_51,
inference(sat_conversion,[],[f513]) ).
cnf(s64,plain,
~ spl11_40,
inference(rat,[],[s39,s62,s44,s41]) ).
cnf(s65,plain,
( ~ spl11_8
| spl11_39 ),
inference(rat,[],[s35,s64]) ).
cnf(s66,plain,
( ~ spl11_9
| ~ spl11_39 ),
inference(rat,[],[s31,s64]) ).
cnf(s71,plain,
spl11_9,
inference(rat,[],[s7,s10,s11]) ).
cnf(s72,plain,
~ spl11_39,
inference(rat,[],[s66,s71]) ).
cnf(s73,plain,
~ spl11_8,
inference(rat,[],[s65,s72]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s6,s73,s10,s11]) ).
fof(f515,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 16:29:05 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 0.07/0.36 % (2569690)Will run a generic schedule for satisfiability detection.
% 0.07/0.36 % (2569696)% WARNING: option uhcvi not known.
% 0.07/0.36 % (2569697)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2507660754:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36 % (2569695)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2841096836_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36 % (2569696)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3624542284:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36 % (2569698)dis+10_1_sil=32000:sp=arity:random_seed=819739329:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36 % (2569699)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1678836163:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36 % (2569700)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=346610672:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36 % (2569701)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=731865509:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36 % TRYING [1]
% 0.07/0.36 % TRYING [2]
% 0.07/0.36 % TRYING [3]
% 0.07/0.36 % TRYING [4]
% 0.07/0.36 % (2569701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2569690-2569701"...
% 0.07/0.36 % (2569696) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2569690-2569696"...
% 0.07/0.36 % TRYING [5]
% 0.07/0.36 % (2569701)...printing done.
% 0.07/0.36 % (2569696)...printing done.
% 0.07/0.36 % (2569701)Refutation found. Thanks to Tanya!
% 0.07/0.36 % SZS status Theorem for theBenchmark
% 0.07/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36 % (2569701)------------------------------
% 0.07/0.36 % (2569701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36 % (2569701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36 % (2569701)CaDiCaL version: 2.1.3
% 0.07/0.36 % (2569701)Termination reason: Refutation
% 0.07/0.36 % (2569701)Time elapsed: 0.006 s
% 0.07/0.36 % (2569701)Peak memory usage: 12 MB
% 0.07/0.36 % (2569701)Instructions burned: 16 (million)
% 0.07/0.36 % (2569690)Success in time 0.034 s
% 0.07/0.36 % Vampire exiting
%------------------------------------------------------------------------------