%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO386^5 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:47:34 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 1
% Syntax : Number of formulae : 64 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 1457 ( 358 equ; 0 cnn)
% Maximal formula atoms : 59 ( 22 avg)
% Number of connectives : 1832 ( 317 ~; 286 |; 114 &;1115 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 384 ( 0 ^; 384 !; 0 ?; 384 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cQ_4: $i > $i > $i > $o ).
thf(func_def_1,type,
f: $i > $i ).
thf(func_def_2,type,
cP_3: $i > $i > $o ).
thf(func_def_3,type,
cQ_3: $i > $i > $i > $o ).
thf(func_def_8,type,
cP_2: $i > $i > $o ).
thf(func_def_9,type,
cQ_2: $i > $i > $i > $o ).
thf(func_def_10,type,
cP_1: $i > $i > $o ).
thf(func_def_11,type,
cQ_1: $i > $i > $i > $o ).
thf(f1,conjecture,
~ ( ( cP_1 @ a @ a )
& ! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X0 @ X1 )
| ( cP_2 @ ( f @ X0 ) @ X1 ) )
& ( cP_2 @ b @ b )
& ! [X4: $i,X1: $i,X5: $i,X2: $i,X3: $i,X0: $i] :
( ~ ( cP_1 @ ( f @ X0 ) @ X3 )
| ~ ( cP_1 @ ( f @ X1 ) @ X4 )
| ~ ( cP_1 @ ( f @ X2 ) @ X5 )
| ( cQ_2 @ X3 @ X4 @ X5 )
| ~ ( cQ_1 @ X0 @ X1 @ X2 ) )
& ! [X0: $i] : ( cP_2 @ d @ X0 )
& ( cP_1 @ c @ c )
& ! [X0: $i] : ( cP_1 @ d @ X0 )
& ( cP_1 @ b @ b )
& ! [X1: $i,X3: $i,X2: $i,X4: $i,X5: $i,X0: $i] :
( ~ ( cP_2 @ ( f @ X0 ) @ X3 )
| ( cQ_3 @ X3 @ X4 @ X5 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 )
| ~ ( cQ_2 @ X0 @ X1 @ X2 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 ) )
& ( cQ_1 @ a @ b @ c )
& ! [X0: $i,X1: $i] :
( ~ ( cP_3 @ X0 @ X1 )
| ( cP_3 @ ( f @ X0 ) @ X1 ) )
& ! [X5: $i,X3: $i,X4: $i,X2: $i,X1: $i,X0: $i] :
( ~ ( cP_3 @ ( f @ X1 ) @ X4 )
| ( cQ_4 @ X3 @ X4 @ X5 )
| ~ ( cP_3 @ ( f @ X2 ) @ X5 )
| ~ ( cQ_3 @ X0 @ X1 @ X2 )
| ~ ( cP_3 @ ( f @ X0 ) @ X3 ) )
& ( cP_2 @ c @ c )
& ( cP_3 @ c @ c )
& ! [X1: $i,X2: $i,X0: $i] :
~ ( cQ_4 @ X0 @ X1 @ X2 )
& ( cP_3 @ a @ a )
& ( cP_3 @ b @ b )
& ( cP_2 @ a @ a )
& ! [X0: $i] : ( cP_3 @ d @ X0 )
& ! [X0: $i,X1: $i] :
( ( cP_1 @ ( f @ X0 ) @ X1 )
| ~ ( cP_1 @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM409_3) ).
thf(f2,negated_conjecture,
~ ~ ( ( cP_1 @ a @ a )
& ! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X0 @ X1 )
| ( cP_2 @ ( f @ X0 ) @ X1 ) )
& ( cP_2 @ b @ b )
& ! [X4: $i,X1: $i,X5: $i,X2: $i,X3: $i,X0: $i] :
( ~ ( cP_1 @ ( f @ X0 ) @ X3 )
| ~ ( cP_1 @ ( f @ X1 ) @ X4 )
| ~ ( cP_1 @ ( f @ X2 ) @ X5 )
| ( cQ_2 @ X3 @ X4 @ X5 )
| ~ ( cQ_1 @ X0 @ X1 @ X2 ) )
& ! [X0: $i] : ( cP_2 @ d @ X0 )
& ( cP_1 @ c @ c )
& ! [X0: $i] : ( cP_1 @ d @ X0 )
& ( cP_1 @ b @ b )
& ! [X1: $i,X3: $i,X2: $i,X4: $i,X5: $i,X0: $i] :
( ~ ( cP_2 @ ( f @ X0 ) @ X3 )
| ( cQ_3 @ X3 @ X4 @ X5 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 )
| ~ ( cQ_2 @ X0 @ X1 @ X2 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 ) )
& ( cQ_1 @ a @ b @ c )
& ! [X0: $i,X1: $i] :
( ~ ( cP_3 @ X0 @ X1 )
| ( cP_3 @ ( f @ X0 ) @ X1 ) )
& ! [X5: $i,X3: $i,X4: $i,X2: $i,X1: $i,X0: $i] :
( ~ ( cP_3 @ ( f @ X1 ) @ X4 )
| ( cQ_4 @ X3 @ X4 @ X5 )
| ~ ( cP_3 @ ( f @ X2 ) @ X5 )
| ~ ( cQ_3 @ X0 @ X1 @ X2 )
| ~ ( cP_3 @ ( f @ X0 ) @ X3 ) )
& ( cP_2 @ c @ c )
& ( cP_3 @ c @ c )
& ! [X1: $i,X2: $i,X0: $i] :
~ ( cQ_4 @ X0 @ X1 @ X2 )
& ( cP_3 @ a @ a )
& ( cP_3 @ b @ b )
& ( cP_2 @ a @ a )
& ! [X0: $i] : ( cP_3 @ d @ X0 )
& ! [X0: $i,X1: $i] :
( ( cP_1 @ ( f @ X0 ) @ X1 )
| ~ ( cP_1 @ X0 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ~ ( ( cP_1 @ a @ a )
& ! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X0 @ X1 )
| ( cP_2 @ ( f @ X0 ) @ X1 ) )
& ( cP_2 @ b @ b )
& ! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( cP_1 @ ( f @ X7 ) @ X6 )
| ~ ( cP_1 @ ( f @ X3 ) @ X2 )
| ~ ( cP_1 @ ( f @ X5 ) @ X4 )
| ( cQ_2 @ X6 @ X2 @ X4 )
| ~ ( cQ_1 @ X7 @ X3 @ X5 ) )
& ! [X8: $i] : ( cP_2 @ d @ X8 )
& ( cP_1 @ c @ c )
& ! [X9: $i] : ( cP_1 @ d @ X9 )
& ( cP_1 @ b @ b )
& ! [X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( ~ ( cP_2 @ ( f @ X15 ) @ X11 )
| ( cQ_3 @ X11 @ X13 @ X14 )
| ~ ( cP_2 @ ( f @ X10 ) @ X13 )
| ~ ( cQ_2 @ X15 @ X10 @ X12 )
| ~ ( cP_2 @ ( f @ X12 ) @ X14 ) )
& ( cQ_1 @ a @ b @ c )
& ! [X16: $i,X17: $i] :
( ~ ( cP_3 @ X16 @ X17 )
| ( cP_3 @ ( f @ X16 ) @ X17 ) )
& ! [X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
( ~ ( cP_3 @ ( f @ X22 ) @ X20 )
| ( cQ_4 @ X19 @ X20 @ X18 )
| ~ ( cP_3 @ ( f @ X21 ) @ X18 )
| ~ ( cQ_3 @ X23 @ X22 @ X21 )
| ~ ( cP_3 @ ( f @ X23 ) @ X19 ) )
& ( cP_2 @ c @ c )
& ( cP_3 @ c @ c )
& ! [X24: $i,X25: $i,X26: $i] :
~ ( cQ_4 @ X26 @ X24 @ X25 )
& ( cP_3 @ a @ a )
& ( cP_3 @ b @ b )
& ( cP_2 @ a @ a )
& ! [X27: $i] : ( cP_3 @ d @ X27 )
& ! [X28: $i,X29: $i] :
( ( cP_1 @ ( f @ X28 ) @ X29 )
| ~ ( cP_1 @ X28 @ X29 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ~ ( ( ( cP_1 @ a @ a )
= $true )
& ! [X0: $i,X1: $i] :
( ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cP_2 @ ( f @ X0 ) @ X1 )
= $true ) )
& ( ( cP_2 @ b @ b )
= $true )
& ! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ( cP_1 @ ( f @ X7 ) @ X6 )
!= $true )
| ( ( cP_1 @ ( f @ X3 ) @ X2 )
!= $true )
| ( ( cP_1 @ ( f @ X5 ) @ X4 )
!= $true )
| ( $true
= ( cQ_2 @ X6 @ X2 @ X4 ) )
| ( ( cQ_1 @ X7 @ X3 @ X5 )
!= $true ) )
& ! [X8: $i] :
( ( cP_2 @ d @ X8 )
= $true )
& ( ( cP_1 @ c @ c )
= $true )
& ! [X9: $i] :
( ( cP_1 @ d @ X9 )
= $true )
& ( ( cP_1 @ b @ b )
= $true )
& ! [X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( ( ( cP_2 @ ( f @ X15 ) @ X11 )
!= $true )
| ( ( cQ_3 @ X11 @ X13 @ X14 )
= $true )
| ( ( cP_2 @ ( f @ X10 ) @ X13 )
!= $true )
| ( ( cQ_2 @ X15 @ X10 @ X12 )
!= $true )
| ( ( cP_2 @ ( f @ X12 ) @ X14 )
!= $true ) )
& ( ( cQ_1 @ a @ b @ c )
= $true )
& ! [X16: $i,X17: $i] :
( ( ( cP_3 @ X16 @ X17 )
!= $true )
| ( ( cP_3 @ ( f @ X16 ) @ X17 )
= $true ) )
& ! [X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
( ( ( cP_3 @ ( f @ X22 ) @ X20 )
!= $true )
| ( ( cQ_4 @ X19 @ X20 @ X18 )
= $true )
| ( ( cP_3 @ ( f @ X21 ) @ X18 )
!= $true )
| ( ( cQ_3 @ X23 @ X22 @ X21 )
!= $true )
| ( $true
!= ( cP_3 @ ( f @ X23 ) @ X19 ) ) )
& ( ( cP_2 @ c @ c )
= $true )
& ( ( cP_3 @ c @ c )
= $true )
& ! [X24: $i,X25: $i,X26: $i] :
( ( cQ_4 @ X26 @ X24 @ X25 )
!= $true )
& ( ( cP_3 @ a @ a )
= $true )
& ( ( cP_3 @ b @ b )
= $true )
& ( ( cP_2 @ a @ a )
= $true )
& ! [X27: $i] :
( ( cP_3 @ d @ X27 )
= $true )
& ! [X28: $i,X29: $i] :
( ( ( cP_1 @ ( f @ X28 ) @ X29 )
= $true )
| ( ( cP_1 @ X28 @ X29 )
!= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cP_1 @ a @ a )
= $true )
& ! [X1: $i,X0: $i] :
( ( ( cP_2 @ ( f @ X0 ) @ X1 )
= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true ) )
& ( ( cP_3 @ a @ a )
= $true )
& ( ( cP_3 @ b @ b )
= $true )
& ! [X23: $i,X20: $i,X19: $i,X22: $i,X18: $i,X21: $i] :
( ( ( cQ_4 @ X19 @ X20 @ X18 )
= $true )
| ( ( cQ_3 @ X23 @ X22 @ X21 )
!= $true )
| ( $true
!= ( cP_3 @ ( f @ X23 ) @ X19 ) )
| ( ( cP_3 @ ( f @ X22 ) @ X20 )
!= $true )
| ( ( cP_3 @ ( f @ X21 ) @ X18 )
!= $true ) )
& ! [X29: $i,X28: $i] :
( ( ( cP_1 @ X28 @ X29 )
!= $true )
| ( ( cP_1 @ ( f @ X28 ) @ X29 )
= $true ) )
& ( ( cP_1 @ b @ b )
= $true )
& ! [X27: $i] :
( ( cP_3 @ d @ X27 )
= $true )
& ! [X4: $i,X2: $i,X5: $i,X7: $i,X3: $i,X6: $i] :
( ( ( cP_1 @ ( f @ X3 ) @ X2 )
!= $true )
| ( ( cQ_1 @ X7 @ X3 @ X5 )
!= $true )
| ( ( cP_1 @ ( f @ X7 ) @ X6 )
!= $true )
| ( ( cP_1 @ ( f @ X5 ) @ X4 )
!= $true )
| ( $true
= ( cQ_2 @ X6 @ X2 @ X4 ) ) )
& ! [X17: $i,X16: $i] :
( ( ( cP_3 @ X16 @ X17 )
!= $true )
| ( ( cP_3 @ ( f @ X16 ) @ X17 )
= $true ) )
& ( ( cP_2 @ b @ b )
= $true )
& ! [X9: $i] :
( ( cP_1 @ d @ X9 )
= $true )
& ! [X8: $i] :
( ( cP_2 @ d @ X8 )
= $true )
& ( ( cP_2 @ c @ c )
= $true )
& ! [X24: $i,X26: $i,X25: $i] :
( ( cQ_4 @ X26 @ X24 @ X25 )
!= $true )
& ! [X12: $i,X11: $i,X15: $i,X10: $i,X14: $i,X13: $i] :
( ( ( cQ_2 @ X15 @ X10 @ X12 )
!= $true )
| ( ( cP_2 @ ( f @ X10 ) @ X13 )
!= $true )
| ( ( cQ_3 @ X11 @ X13 @ X14 )
= $true )
| ( ( cP_2 @ ( f @ X12 ) @ X14 )
!= $true )
| ( ( cP_2 @ ( f @ X15 ) @ X11 )
!= $true ) )
& ( ( cP_1 @ c @ c )
= $true )
& ( ( cP_3 @ c @ c )
= $true )
& ( ( cP_2 @ a @ a )
= $true )
& ( ( cQ_1 @ a @ b @ c )
= $true ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( ( cP_1 @ a @ a )
= $true )
& ! [X0: $i,X1: $i] :
( ( ( cP_2 @ ( f @ X1 ) @ X0 )
= $true )
| ( ( cP_2 @ X1 @ X0 )
!= $true ) )
& ( ( cP_3 @ a @ a )
= $true )
& ( ( cP_3 @ b @ b )
= $true )
& ! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ( cQ_4 @ X4 @ X3 @ X6 )
= $true )
| ( ( cQ_3 @ X2 @ X5 @ X7 )
!= $true )
| ( ( cP_3 @ ( f @ X2 ) @ X4 )
!= $true )
| ( ( cP_3 @ ( f @ X5 ) @ X3 )
!= $true )
| ( $true
!= ( cP_3 @ ( f @ X7 ) @ X6 ) ) )
& ! [X8: $i,X9: $i] :
( ( $true
!= ( cP_1 @ X9 @ X8 ) )
| ( ( cP_1 @ ( f @ X9 ) @ X8 )
= $true ) )
& ( ( cP_1 @ b @ b )
= $true )
& ! [X10: $i] :
( ( cP_3 @ d @ X10 )
= $true )
& ! [X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( ( ( cP_1 @ ( f @ X15 ) @ X12 )
!= $true )
| ( ( cQ_1 @ X14 @ X15 @ X13 )
!= $true )
| ( ( cP_1 @ ( f @ X14 ) @ X16 )
!= $true )
| ( ( cP_1 @ ( f @ X13 ) @ X11 )
!= $true )
| ( ( cQ_2 @ X16 @ X12 @ X11 )
= $true ) )
& ! [X17: $i,X18: $i] :
( ( ( cP_3 @ X18 @ X17 )
!= $true )
| ( ( cP_3 @ ( f @ X18 ) @ X17 )
= $true ) )
& ( ( cP_2 @ b @ b )
= $true )
& ! [X19: $i] :
( ( cP_1 @ d @ X19 )
= $true )
& ! [X20: $i] :
( ( cP_2 @ d @ X20 )
= $true )
& ( ( cP_2 @ c @ c )
= $true )
& ! [X21: $i,X22: $i,X23: $i] :
( ( cQ_4 @ X22 @ X21 @ X23 )
!= $true )
& ! [X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] :
( ( ( cQ_2 @ X26 @ X27 @ X24 )
!= $true )
| ( ( cP_2 @ ( f @ X27 ) @ X29 )
!= $true )
| ( ( cQ_3 @ X25 @ X29 @ X28 )
= $true )
| ( ( cP_2 @ ( f @ X24 ) @ X28 )
!= $true )
| ( $true
!= ( cP_2 @ ( f @ X26 ) @ X25 ) ) )
& ( ( cP_1 @ c @ c )
= $true )
& ( ( cP_3 @ c @ c )
= $true )
& ( ( cP_2 @ a @ a )
= $true )
& ( ( cQ_1 @ a @ b @ c )
= $true ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( cQ_1 @ a @ b @ c )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( cP_2 @ a @ a )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cP_3 @ c @ c )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f10,plain,
( ( cP_1 @ c @ c )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
! [X28: $i,X29: $i,X26: $i,X27: $i,X24: $i,X25: $i] :
( ( ( cQ_2 @ X26 @ X27 @ X24 )
!= $true )
| ( $true
!= ( cP_2 @ ( f @ X26 ) @ X25 ) )
| ( ( cQ_3 @ X25 @ X29 @ X28 )
= $true )
| ( ( cP_2 @ ( f @ X27 ) @ X29 )
!= $true )
| ( ( cP_2 @ ( f @ X24 ) @ X28 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
! [X21: $i,X22: $i,X23: $i] :
( ( cQ_4 @ X22 @ X21 @ X23 )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,plain,
( ( cP_2 @ c @ c )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f16,plain,
( ( cP_2 @ b @ b )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f17,plain,
! [X18: $i,X17: $i] :
( ( ( cP_3 @ ( f @ X18 ) @ X17 )
= $true )
| ( ( cP_3 @ X18 @ X17 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f18,plain,
! [X11: $i,X16: $i,X14: $i,X15: $i,X12: $i,X13: $i] :
( ( ( cQ_1 @ X14 @ X15 @ X13 )
!= $true )
| ( ( cP_1 @ ( f @ X14 ) @ X16 )
!= $true )
| ( ( cP_1 @ ( f @ X13 ) @ X11 )
!= $true )
| ( ( cQ_2 @ X16 @ X12 @ X11 )
= $true )
| ( ( cP_1 @ ( f @ X15 ) @ X12 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f20,plain,
( ( cP_1 @ b @ b )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f21,plain,
! [X8: $i,X9: $i] :
( ( ( cP_1 @ ( f @ X9 ) @ X8 )
= $true )
| ( $true
!= ( cP_1 @ X9 @ X8 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f22,plain,
! [X2: $i,X3: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( cP_3 @ ( f @ X2 ) @ X4 )
!= $true )
| ( ( cQ_3 @ X2 @ X5 @ X7 )
!= $true )
| ( ( cQ_4 @ X4 @ X3 @ X6 )
= $true )
| ( $true
!= ( cP_3 @ ( f @ X7 ) @ X6 ) )
| ( ( cP_3 @ ( f @ X5 ) @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f23,plain,
( ( cP_3 @ b @ b )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f24,plain,
( ( cP_3 @ a @ a )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( cP_2 @ ( f @ X1 ) @ X0 )
= $true )
| ( ( cP_2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f26,plain,
( ( cP_1 @ a @ a )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f28,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cP_1 @ ( f @ c ) @ X1 )
!= $true )
| ( ( cP_1 @ ( f @ a ) @ X0 )
!= $true )
| ( ( cQ_2 @ X0 @ X2 @ X1 )
= $true )
| ( $true != $true )
| ( ( cP_1 @ ( f @ b ) @ X2 )
!= $true ) ),
inference(superposition,[],[f18,f7]) ).
thf(f29,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cQ_2 @ X0 @ X2 @ X1 )
= $true )
| ( ( cP_1 @ ( f @ c ) @ X1 )
!= $true )
| ( ( cP_1 @ ( f @ b ) @ X2 )
!= $true )
| ( ( cP_1 @ ( f @ a ) @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f28]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X1 ) @ X4 )
!= $true )
| ( ( cP_2 @ ( f @ X0 ) @ X3 )
!= $true )
| ( ( cQ_3 @ X3 @ X4 @ X5 )
= $true )
| ( ( cP_2 @ ( f @ X2 ) @ X5 )
!= $true )
| ( ( cP_1 @ ( f @ a ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( cP_1 @ ( f @ b ) @ X1 )
!= $true )
| ( ( cP_1 @ ( f @ c ) @ X2 )
!= $true ) ),
inference(superposition,[],[f11,f29]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X2 ) @ X5 )
!= $true )
| ( ( cP_2 @ ( f @ X0 ) @ X3 )
!= $true )
| ( ( cP_2 @ ( f @ X1 ) @ X4 )
!= $true )
| ( ( cP_1 @ ( f @ b ) @ X1 )
!= $true )
| ( ( cP_1 @ ( f @ c ) @ X2 )
!= $true )
| ( ( cP_1 @ ( f @ a ) @ X0 )
!= $true )
| ( ( cQ_3 @ X3 @ X4 @ X5 )
= $true ) ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( cQ_3 @ X2 @ X5 @ X7 )
!= $true )
| ( ( cP_3 @ ( f @ X2 ) @ X4 )
!= $true )
| ( ( cP_3 @ ( f @ X5 ) @ X3 )
!= $true )
| ( $true
!= ( cP_3 @ ( f @ X7 ) @ X6 ) ) ),
inference(forward_subsumption_resolution,[],[f22,f12]) ).
thf(f33,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X2 ) @ X3 )
!= $true )
| ( $true != $true )
| ( ( cP_2 @ ( f @ X4 ) @ X5 )
!= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cP_1 @ ( f @ c ) @ X0 )
!= $true )
| ( ( cP_1 @ ( f @ a ) @ X2 )
!= $true )
| ( ( cQ_3 @ X3 @ X5 @ X1 )
= $true )
| ( ( cP_1 @ ( f @ b ) @ X4 )
!= $true ) ),
inference(superposition,[],[f31,f25]) ).
thf(f34,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_1 @ ( f @ a ) @ X2 )
!= $true )
| ( ( cP_1 @ ( f @ c ) @ X0 )
!= $true )
| ( ( cP_1 @ ( f @ b ) @ X4 )
!= $true )
| ( ( cP_2 @ ( f @ X2 ) @ X3 )
!= $true )
| ( ( cQ_3 @ X3 @ X5 @ X1 )
= $true )
| ( ( cP_2 @ ( f @ X4 ) @ X5 )
!= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f35,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( $true != $true )
| ( ( cP_2 @ ( f @ X0 ) @ X3 )
!= $true )
| ( ( cQ_3 @ X3 @ X4 @ X5 )
= $true )
| ( ( cP_1 @ a @ X0 )
!= $true )
| ( ( cP_1 @ ( f @ b ) @ X2 )
!= $true )
| ( ( cP_2 @ ( f @ X2 ) @ X4 )
!= $true )
| ( ( cP_1 @ ( f @ c ) @ X1 )
!= $true )
| ( ( cP_2 @ X1 @ X5 )
!= $true ) ),
inference(superposition,[],[f34,f21]) ).
thf(f36,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_1 @ ( f @ c ) @ X1 )
!= $true )
| ( ( cP_2 @ ( f @ X0 ) @ X3 )
!= $true )
| ( ( cP_2 @ X1 @ X5 )
!= $true )
| ( ( cP_1 @ ( f @ b ) @ X2 )
!= $true )
| ( ( cP_2 @ ( f @ X2 ) @ X4 )
!= $true )
| ( ( cQ_3 @ X3 @ X4 @ X5 )
= $true )
| ( ( cP_1 @ a @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X1 ) @ X2 )
!= $true )
| ( ( cP_1 @ a @ X1 )
!= $true )
| ( ( cP_1 @ ( f @ b ) @ X4 )
!= $true )
| ( ( cP_2 @ ( f @ X4 ) @ X5 )
!= $true )
| ( ( cP_2 @ X0 @ X3 )
!= $true )
| ( $true != $true )
| ( ( cQ_3 @ X2 @ X5 @ X3 )
= $true )
| ( $true
!= ( cP_1 @ c @ X0 ) ) ),
inference(superposition,[],[f36,f21]) ).
thf(f38,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_1 @ ( f @ b ) @ X4 )
!= $true )
| ( ( cP_2 @ ( f @ X1 ) @ X2 )
!= $true )
| ( ( cP_2 @ X0 @ X3 )
!= $true )
| ( ( cP_1 @ a @ X1 )
!= $true )
| ( ( cP_2 @ ( f @ X4 ) @ X5 )
!= $true )
| ( $true
!= ( cP_1 @ c @ X0 ) )
| ( ( cQ_3 @ X2 @ X5 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X0 ) @ X5 )
!= $true )
| ( ( cP_2 @ ( f @ X1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( cP_2 @ X3 @ X4 )
!= $true )
| ( ( cP_1 @ a @ X1 )
!= $true )
| ( ( cP_1 @ c @ X3 )
!= $true )
| ( ( cQ_3 @ X2 @ X5 @ X4 )
= $true )
| ( ( cP_1 @ b @ X0 )
!= $true ) ),
inference(superposition,[],[f38,f21]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X1 ) @ X2 )
!= $true )
| ( ( cP_1 @ b @ X0 )
!= $true )
| ( ( cP_2 @ ( f @ X0 ) @ X5 )
!= $true )
| ( ( cP_1 @ a @ X1 )
!= $true )
| ( ( cP_2 @ X3 @ X4 )
!= $true )
| ( ( cP_1 @ c @ X3 )
!= $true )
| ( ( cQ_3 @ X2 @ X5 @ X4 )
= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_1 @ a @ X0 )
!= $true )
| ( $true
= ( cQ_3 @ X1 @ X3 @ X5 ) )
| ( ( cP_1 @ b @ X2 )
!= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cP_2 @ ( f @ X2 ) @ X3 )
!= $true )
| ( ( cP_1 @ c @ X4 )
!= $true )
| ( ( cP_2 @ X4 @ X5 )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f40,f25]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( cP_2 @ ( f @ X2 ) @ X3 )
!= $true )
| ( ( cP_1 @ c @ X4 )
!= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cP_2 @ X4 @ X5 )
!= $true )
| ( ( cP_1 @ b @ X2 )
!= $true )
| ( $true
= ( cQ_3 @ X1 @ X3 @ X5 ) )
| ( ( cP_1 @ a @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( $true
!= ( cP_1 @ c @ X2 ) )
| ( ( cP_1 @ a @ X3 )
!= $true )
| ( $true != $true )
| ( ( cP_2 @ X3 @ X4 )
!= $true )
| ( ( cP_2 @ X2 @ X5 )
!= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cP_1 @ b @ X0 )
!= $true )
| ( ( cQ_3 @ X4 @ X1 @ X5 )
= $true ) ),
inference(superposition,[],[f42,f25]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( $true
!= ( cP_1 @ c @ X2 ) )
| ( ( cP_1 @ a @ X3 )
!= $true )
| ( ( cP_2 @ X2 @ X5 )
!= $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cQ_3 @ X4 @ X1 @ X5 )
= $true )
| ( ( cP_2 @ X3 @ X4 )
!= $true )
| ( ( cP_1 @ b @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( cP_2 @ c @ X1 ) )
| ( ( cP_1 @ a @ X0 )
!= $true )
| ( ( cQ_3 @ X4 @ X3 @ X1 )
= $true )
| ( ( cP_2 @ X2 @ X3 )
!= $true )
| ( ( cP_2 @ X0 @ X4 )
!= $true )
| ( $true != $true )
| ( ( cP_1 @ b @ X2 )
!= $true ) ),
inference(superposition,[],[f44,f10]) ).
thf(f46,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_1 @ a @ X0 )
!= $true )
| ( ( cP_2 @ X2 @ X3 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X1 ) )
| ( ( cP_1 @ b @ X2 )
!= $true )
| ( ( cP_2 @ X0 @ X4 )
!= $true )
| ( ( cQ_3 @ X4 @ X3 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( cP_1 @ b @ X0 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X2 ) )
| ( ( cQ_3 @ X3 @ X1 @ X2 )
= $true )
| ( $true != $true )
| ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( ( cP_2 @ a @ X3 )
!= $true ) ),
inference(superposition,[],[f46,f26]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( cP_2 @ X0 @ X1 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X2 ) )
| ( ( cP_2 @ a @ X3 )
!= $true )
| ( ( cP_1 @ b @ X0 )
!= $true )
| ( ( cQ_3 @ X3 @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( cP_1 @ b @ b )
!= $true )
| ( ( cQ_3 @ X1 @ b @ X0 )
= $true )
| ( ( cP_2 @ a @ X1 )
!= $true )
| ( ( cP_2 @ c @ X0 )
!= $true ) ),
inference(superposition,[],[f48,f16]) ).
thf(f56,plain,
! [X0: $i,X1: $i] :
( ( ( cP_2 @ c @ X0 )
!= $true )
| ( ( cP_2 @ a @ X1 )
!= $true )
| ( ( cP_1 @ b @ b )
!= $true )
| ( ( cQ_3 @ X1 @ b @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f59,plain,
! [X0: $i,X1: $i] :
( ( ( cQ_3 @ X1 @ b @ X0 )
= $true )
| ( ( cP_2 @ c @ X0 )
!= $true )
| ( ( cP_2 @ a @ X1 )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f56,f20]) ).
thf(f60,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ ( f @ b ) @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( cP_2 @ c @ X1 ) )
| ( ( cP_3 @ ( f @ X1 ) @ X4 )
!= $true )
| ( ( cP_3 @ ( f @ X0 ) @ X2 )
!= $true )
| ( ( cP_2 @ a @ X0 )
!= $true ) ),
inference(superposition,[],[f32,f59]) ).
thf(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ ( f @ X1 ) @ X4 )
!= $true )
| ( ( cP_3 @ ( f @ b ) @ X3 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X1 ) )
| ( ( cP_3 @ ( f @ X0 ) @ X2 )
!= $true )
| ( ( cP_2 @ a @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ ( f @ b ) @ X2 )
!= $true )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( cP_2 @ c @ X0 )
!= $true )
| ( ( cP_3 @ ( f @ X3 ) @ X4 )
!= $true )
| ( ( cP_2 @ a @ X3 )
!= $true ) ),
inference(superposition,[],[f61,f17]) ).
thf(f69,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ ( f @ X3 ) @ X4 )
!= $true )
| ( ( cP_2 @ c @ X0 )
!= $true )
| ( ( cP_3 @ ( f @ b ) @ X2 )
!= $true )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( ( cP_2 @ a @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f70,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ X2 @ X4 )
!= $true )
| ( $true != $true )
| ( ( cP_3 @ ( f @ b ) @ X3 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X2 ) )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( ( cP_2 @ a @ X0 )
!= $true ) ),
inference(superposition,[],[f69,f17]) ).
thf(f71,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ ( f @ b ) @ X3 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X2 ) )
| ( ( cP_2 @ a @ X0 )
!= $true )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( ( cP_3 @ X2 @ X4 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ X1 @ X4 )
!= $true )
| ( ( cP_3 @ b @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( cP_2 @ c @ X1 ) )
| ( ( cP_2 @ a @ X2 )
!= $true )
| ( $true
!= ( cP_3 @ X2 @ X3 ) ) ),
inference(superposition,[],[f71,f17]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( cP_3 @ b @ X0 )
!= $true )
| ( $true
!= ( cP_3 @ X2 @ X3 ) )
| ( ( cP_3 @ X1 @ X4 )
!= $true )
| ( ( cP_2 @ a @ X2 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f74,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( cP_2 @ c @ X2 ) )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( $true
!= ( cP_3 @ X2 @ X3 ) )
| ( ( cP_2 @ a @ X0 )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f73,f23]) ).
thf(f75,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( cP_2 @ a @ X0 )
!= $true )
| ( $true
!= ( cP_3 @ X2 @ X3 ) )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( $true
!= ( cP_2 @ c @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f78,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cP_2 @ c @ X0 )
!= $true )
| ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( $true
!= ( cP_3 @ a @ X2 ) )
| ( $true != $true ) ),
inference(superposition,[],[f75,f8]) ).
thf(f79,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cP_3 @ X0 @ X1 )
!= $true )
| ( $true
!= ( cP_3 @ a @ X2 ) )
| ( ( cP_2 @ c @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f81,plain,
! [X0: $i] :
( ( ( cP_2 @ c @ c )
!= $true )
| ( ( cP_3 @ a @ X0 )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f79,f9]) ).
thf(f89,plain,
! [X0: $i] :
( ( ( cP_2 @ c @ c )
!= $true )
| ( ( cP_3 @ a @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f90,plain,
! [X0: $i] :
( ( cP_3 @ a @ X0 )
!= $true ),
inference(forward_subsumption_resolution,[],[f89,f13]) ).
thf(f91,plain,
$true != $true,
inference(superposition,[],[f90,f24]) ).
thf(f92,plain,
$false,
inference(trivial_inequality_removal,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO386^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:50:00 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.30 % (2918254)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.30 % (2918272)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3721242721:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.30 % (2918278)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.30 % (2918278)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.30 % (2918273)lrs+10_16_si=on:nwc=1.5:random_seed=1123839542:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.30 % (2918274)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3186184052:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.30 % (2918277)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1854479194:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.30 % (2918276)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2359350493:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.30 % (2918275)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2412086097:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.30 % (2918278)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1985781619:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.30 % (2918274)Instruction limit reached!
% 0.20/0.30 % (2918274)------------------------------
% 0.20/0.30 % (2918274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2918274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2918274)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2918274)Termination reason: Instruction limit
% 0.20/0.30 % (2918274)Termination phase: Saturation
% 0.20/0.30 % (2918274)Time elapsed: 0.002 s
% 0.20/0.30 % (2918274)Peak memory usage: 11 MB
% 0.20/0.30 % (2918274)Instructions burned: 3 (million)
% 0.20/0.30 % (2918276) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2918254-2918276"...
% 0.20/0.30 % (2918275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2918254-2918275"...
% 0.20/0.30 % (2918273)Instruction limit reached!
% 0.20/0.30 % (2918273)------------------------------
% 0.20/0.30 % (2918273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2918273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2918273)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2918273)Termination reason: Instruction limit
% 0.20/0.30 % (2918273)Termination phase: Saturation
% 0.20/0.30 % (2918273)Time elapsed: 0.010 s
% 0.20/0.30 % (2918273)Peak memory usage: 12 MB
% 0.20/0.30 % (2918273)Instructions burned: 19 (million)
% 0.20/0.30 % (2918276)...printing done.
% 0.20/0.30 % (2918275)...printing done.
% 0.20/0.30 % (2918276)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (2918276)------------------------------
% 0.20/0.31 % (2918276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (2918276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (2918276)CaDiCaL version: 2.1.3
% 0.20/0.31 % (2918276)Termination reason: Refutation
% 0.20/0.31 % (2918276)Time elapsed: 0.012 s
% 0.20/0.31 % (2918276)Peak memory usage: 12 MB
% 0.20/0.31 % (2918276)Instructions burned: 24 (million)
% 0.20/0.31 % (2918254)Success in time 0.063 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------