%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV000^5 : 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 : n002.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 08:37:26 AM UTC 2026
% Result : Theorem 0.71s 0.44s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 63 ( 12 unt; 0 typ; 6 def)
% Number of atoms : 231 ( 145 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1093 ( 75 ~; 74 |; 77 &; 850 @)
% ( 9 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 257 ( 0 sgn 229 !; 28 ?; 257 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
sK0: a > a > a ).
thf(func_def_2,type,
sK1: a > a > a ).
thf(func_def_3,type,
sK2: a ).
thf(func_def_4,type,
sK3: a ).
thf(func_def_5,type,
sK4: a ).
thf(func_def_6,type,
sK5: a ).
thf(func_def_7,type,
sK6: a ).
thf(func_def_8,type,
sK7: a ).
thf(f1,conjecture,
! [X1: a > a > a,X0: a > a > a] :
( ( ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X3: a,X2: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X4: a,X3: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) ) )
=> ( ! [X4: a,X2: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
<=> ! [X4: a,X2: a,X3: a] :
( ( ( X0 @ X2 @ X4 )
= X4 )
=> ( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cMODULAR_EQUIV_THM_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X3: a,X2: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X4: a,X3: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) ) )
=> ( ! [X4: a,X2: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
<=> ! [X4: a,X2: a,X3: a] :
( ( ( X0 @ X2 @ X4 )
= X4 )
=> ( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ! [X5: a,X6: a] :
( ( X1 @ X6 @ X5 )
= ( X1 @ X5 @ X6 ) )
& ! [X3: a,X4: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ! [X8: a,X7: a] :
( ( X1 @ ( X0 @ X8 @ X7 ) @ X7 )
= X7 )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X14 @ X13 ) @ X13 )
= X13 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 )
& ! [X10: a,X12: a,X11: a] :
( ( X0 @ X10 @ ( X0 @ X12 @ X11 ) )
= ( X0 @ ( X0 @ X10 @ X12 ) @ X11 ) )
& ! [X17: a,X16: a,X15: a] :
( ( X1 @ ( X1 @ X15 @ X16 ) @ X17 )
= ( X1 @ X15 @ ( X1 @ X16 @ X17 ) ) ) )
=> ( ! [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) )
<=> ! [X21: a,X22: a,X23: a] :
( ( ( X1 @ X22 @ X21 )
= X21 )
=> ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X1: a > a > a,X0: a > a > a] :
( ( ! [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) )
<~> ! [X23: a,X21: a,X22: a] :
( ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) )
| ( ( X1 @ X22 @ X21 )
!= X21 ) ) )
& ! [X5: a,X6: a] :
( ( X1 @ X6 @ X5 )
= ( X1 @ X5 @ X6 ) )
& ! [X3: a,X4: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ! [X8: a,X7: a] :
( ( X1 @ ( X0 @ X8 @ X7 ) @ X7 )
= X7 )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X14 @ X13 ) @ X13 )
= X13 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 )
& ! [X10: a,X12: a,X11: a] :
( ( X0 @ X10 @ ( X0 @ X12 @ X11 ) )
= ( X0 @ ( X0 @ X10 @ X12 ) @ X11 ) )
& ! [X17: a,X16: a,X15: a] :
( ( X1 @ ( X1 @ X15 @ X16 ) @ X17 )
= ( X1 @ X15 @ ( X1 @ X16 @ X17 ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X5: a,X6: a] :
( ( X1 @ X6 @ X5 )
= ( X1 @ X5 @ X6 ) )
& ! [X8: a,X7: a] :
( ( X1 @ ( X0 @ X8 @ X7 ) @ X7 )
= X7 )
& ! [X3: a,X4: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ( ! [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) )
<~> ! [X23: a,X21: a,X22: a] :
( ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) )
| ( ( X1 @ X22 @ X21 )
!= X21 ) ) )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X14 @ X13 ) @ X13 )
= X13 )
& ! [X10: a,X12: a,X11: a] :
( ( X0 @ X10 @ ( X0 @ X12 @ X11 ) )
= ( X0 @ ( X0 @ X10 @ X12 ) @ X11 ) )
& ! [X17: a,X16: a,X15: a] :
( ( X1 @ ( X1 @ X15 @ X16 ) @ X17 )
= ( X1 @ X15 @ ( X1 @ X16 @ X17 ) ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X5: a,X6: a] :
( ( X1 @ X6 @ X5 )
= ( X1 @ X5 @ X6 ) )
& ! [X8: a,X7: a] :
( ( X1 @ ( X0 @ X8 @ X7 ) @ X7 )
= X7 )
& ! [X3: a,X4: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ( ? [X23: a,X21: a,X22: a] :
( ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
!= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) )
& ( ( X1 @ X22 @ X21 )
= X21 ) )
| ? [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
!= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) ) )
& ( ! [X23: a,X21: a,X22: a] :
( ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) )
| ( ( X1 @ X22 @ X21 )
!= X21 ) )
| ! [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) ) )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X14 @ X13 ) @ X13 )
= X13 )
& ! [X10: a,X12: a,X11: a] :
( ( X0 @ X10 @ ( X0 @ X12 @ X11 ) )
= ( X0 @ ( X0 @ X10 @ X12 ) @ X11 ) )
& ! [X17: a,X16: a,X15: a] :
( ( X1 @ ( X1 @ X15 @ X16 ) @ X17 )
= ( X1 @ X15 @ ( X1 @ X16 @ X17 ) ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 ) ),
inference(nnf_transformation,[],[f5]) ).
thf(f7,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X5: a,X6: a] :
( ( X1 @ X6 @ X5 )
= ( X1 @ X5 @ X6 ) )
& ! [X8: a,X7: a] :
( ( X1 @ ( X0 @ X8 @ X7 ) @ X7 )
= X7 )
& ! [X3: a,X4: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ( ? [X23: a,X21: a,X22: a] :
( ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
!= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) )
& ( ( X1 @ X22 @ X21 )
= X21 ) )
| ? [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
!= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) ) )
& ( ! [X23: a,X21: a,X22: a] :
( ( ( X1 @ X22 @ ( X0 @ X23 @ X21 ) )
= ( X0 @ ( X1 @ X22 @ X23 ) @ X21 ) )
| ( ( X1 @ X22 @ X21 )
!= X21 ) )
| ! [X19: a,X20: a,X18: a] :
( ( X1 @ X19 @ ( X0 @ X20 @ ( X1 @ X19 @ X18 ) ) )
= ( X0 @ ( X1 @ X19 @ X20 ) @ ( X1 @ X19 @ X18 ) ) ) )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X14 @ X13 ) @ X13 )
= X13 )
& ! [X10: a,X12: a,X11: a] :
( ( X0 @ X10 @ ( X0 @ X12 @ X11 ) )
= ( X0 @ ( X0 @ X10 @ X12 ) @ X11 ) )
& ! [X17: a,X16: a,X15: a] :
( ( X1 @ ( X1 @ X15 @ X16 ) @ X17 )
= ( X1 @ X15 @ ( X1 @ X16 @ X17 ) ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X9: a] :
( ( X1 @ X9 @ X9 )
= X9 ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X4: a,X5: a] :
( ( X1 @ ( X0 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X0 @ X6 @ X7 )
= ( X0 @ X7 @ X6 ) )
& ( ? [X8: a,X9: a,X10: a] :
( ( ( X1 @ X10 @ ( X0 @ X8 @ X9 ) )
!= ( X0 @ ( X1 @ X10 @ X8 ) @ X9 ) )
& ( ( X1 @ X10 @ X9 )
= X9 ) )
| ? [X11: a,X12: a,X13: a] :
( ( X1 @ X11 @ ( X0 @ X12 @ ( X1 @ X11 @ X13 ) ) )
!= ( X0 @ ( X1 @ X11 @ X12 ) @ ( X1 @ X11 @ X13 ) ) ) )
& ( ! [X14: a,X15: a,X16: a] :
( ( ( X1 @ X16 @ ( X0 @ X14 @ X15 ) )
= ( X0 @ ( X1 @ X16 @ X14 ) @ X15 ) )
| ( ( X1 @ X16 @ X15 )
!= X15 ) )
| ! [X17: a,X18: a,X19: a] :
( ( X1 @ X17 @ ( X0 @ X18 @ ( X1 @ X17 @ X19 ) ) )
= ( X0 @ ( X1 @ X17 @ X18 ) @ ( X1 @ X17 @ X19 ) ) ) )
& ! [X20: a,X21: a] :
( ( X0 @ ( X1 @ X21 @ X20 ) @ X20 )
= X20 )
& ! [X22: a,X23: a,X24: a] :
( ( X0 @ X22 @ ( X0 @ X23 @ X24 ) )
= ( X0 @ ( X0 @ X22 @ X23 ) @ X24 ) )
& ! [X25: a,X26: a,X27: a] :
( ( X1 @ X27 @ ( X1 @ X26 @ X25 ) )
= ( X1 @ ( X1 @ X27 @ X26 ) @ X25 ) )
& ! [X28: a] :
( ( X0 @ X28 @ X28 )
= X28 )
& ! [X29: a] :
( ( X1 @ X29 @ X29 )
= X29 ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ! [X2: a,X3: a] :
( ( sK1 @ X2 @ X3 )
= ( sK1 @ X3 @ X2 ) )
& ! [X4: a,X5: a] :
( ( sK1 @ ( sK0 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( sK0 @ X6 @ X7 )
= ( sK0 @ X7 @ X6 ) )
& ( ( ( ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 )
!= ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) ) )
& ( ( sK1 @ sK4 @ sK3 )
= sK3 ) )
| ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
!= ( sK0 @ ( sK1 @ sK5 @ sK6 ) @ ( sK1 @ sK5 @ sK7 ) ) ) )
& ( ! [X14: a,X15: a,X16: a] :
( ( ( sK0 @ ( sK1 @ X16 @ X14 ) @ X15 )
= ( sK1 @ X16 @ ( sK0 @ X14 @ X15 ) ) )
| ( ( sK1 @ X16 @ X15 )
!= X15 ) )
| ! [X17: a,X18: a,X19: a] :
( ( sK1 @ X17 @ ( sK0 @ X18 @ ( sK1 @ X17 @ X19 ) ) )
= ( sK0 @ ( sK1 @ X17 @ X18 ) @ ( sK1 @ X17 @ X19 ) ) ) )
& ! [X20: a,X21: a] :
( ( sK0 @ ( sK1 @ X21 @ X20 ) @ X20 )
= X20 )
& ! [X22: a,X23: a,X24: a] :
( ( sK0 @ ( sK0 @ X22 @ X23 ) @ X24 )
= ( sK0 @ X22 @ ( sK0 @ X23 @ X24 ) ) )
& ! [X25: a,X26: a,X27: a] :
( ( sK1 @ ( sK1 @ X27 @ X26 ) @ X25 )
= ( sK1 @ X27 @ ( sK1 @ X26 @ X25 ) ) )
& ! [X28: a] :
( ( sK0 @ X28 @ X28 )
= X28 )
& ! [X29: a] :
( ( sK1 @ X29 @ X29 )
= X29 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X8,sK2),skolemize(X9,sK3),skolemize(X10,sK4),skolemize(X11,sK5),skolemize(X12,sK6),skolemize(X13,sK7)],[f8]) ).
thf(f10,plain,
! [X29: a] :
( ( sK1 @ X29 @ X29 )
= X29 ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
! [X26: a,X27: a,X25: a] :
( ( sK1 @ ( sK1 @ X27 @ X26 ) @ X25 )
= ( sK1 @ X27 @ ( sK1 @ X26 @ X25 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
! [X18: a,X19: a,X16: a,X14: a,X17: a,X15: a] :
( ( ( sK1 @ X17 @ ( sK0 @ X18 @ ( sK1 @ X17 @ X19 ) ) )
= ( sK0 @ ( sK1 @ X17 @ X18 ) @ ( sK1 @ X17 @ X19 ) ) )
| ( ( sK0 @ ( sK1 @ X16 @ X14 ) @ X15 )
= ( sK1 @ X16 @ ( sK0 @ X14 @ X15 ) ) )
| ( ( sK1 @ X16 @ X15 )
!= X15 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
!= ( sK0 @ ( sK1 @ sK5 @ sK6 ) @ ( sK1 @ sK5 @ sK7 ) ) )
| ( ( sK1 @ sK4 @ sK3 )
= sK3 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
( ( ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 )
!= ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) ) )
| ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
!= ( sK0 @ ( sK1 @ sK5 @ sK6 ) @ ( sK1 @ sK5 @ sK7 ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f22,definition,
( spl8_1
<=> ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
= ( sK0 @ ( sK1 @ sK5 @ sK6 ) @ ( sK1 @ sK5 @ sK7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
thf(f24,plain,
( ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
!= ( sK0 @ ( sK1 @ sK5 @ sK6 ) @ ( sK1 @ sK5 @ sK7 ) ) )
| spl8_1 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f26,definition,
( spl8_2
<=> ( ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 )
= ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
thf(f28,plain,
( ( ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 )
!= ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) ) )
| spl8_2 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f29,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f17,f26,f22]) ).
thf(f31,definition,
( spl8_3
<=> ( ( sK1 @ sK4 @ sK3 )
= sK3 ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
thf(f33,plain,
( ( ( sK1 @ sK4 @ sK3 )
= sK3 )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,plain,
( spl8_3
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f16,f22,f31]) ).
thf(f36,definition,
( spl8_4
<=> ! [X18: a,X17: a,X19: a] :
( ( sK1 @ X17 @ ( sK0 @ X18 @ ( sK1 @ X17 @ X19 ) ) )
= ( sK0 @ ( sK1 @ X17 @ X18 ) @ ( sK1 @ X17 @ X19 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
thf(f37,plain,
( ! [X18: a,X19: a,X17: a] :
( ( sK1 @ X17 @ ( sK0 @ X18 @ ( sK1 @ X17 @ X19 ) ) )
= ( sK0 @ ( sK1 @ X17 @ X18 ) @ ( sK1 @ X17 @ X19 ) ) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,definition,
( spl8_5
<=> ! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ ( sK1 @ X16 @ X14 ) @ X15 )
= ( sK1 @ X16 @ ( sK0 @ X14 @ X15 ) ) )
| ( ( sK1 @ X16 @ X15 )
!= X15 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
thf(f40,plain,
( ! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ ( sK1 @ X16 @ X14 ) @ X15 )
= ( sK1 @ X16 @ ( sK0 @ X14 @ X15 ) ) )
| ( ( sK1 @ X16 @ X15 )
!= X15 ) )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f39]) ).
thf(f41,plain,
( spl8_4
| spl8_5 ),
inference(avatar_split_clause,[],[f15,f39,f36]) ).
thf(f65,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) )
= ( sK1 @ X0 @ X1 ) ),
inference(superposition,[],[f12,f10]) ).
thf(f107,plain,
( ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
!= ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) ) )
| spl8_1
| ~ spl8_4 ),
inference(superposition,[],[f24,f37]) ).
thf(f115,plain,
( $false
| spl8_1
| ~ spl8_4 ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f116,plain,
( spl8_1
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f115]) ).
thf(f142,plain,
( ( ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) )
!= ( sK1 @ sK5 @ ( sK0 @ sK6 @ ( sK1 @ sK5 @ sK7 ) ) ) )
| ( ( sK1 @ sK5 @ ( sK1 @ sK5 @ sK7 ) )
!= ( sK1 @ sK5 @ sK7 ) )
| spl8_1
| ~ spl8_5 ),
inference(superposition,[],[f24,f40]) ).
thf(f149,plain,
( ( ( sK1 @ sK5 @ ( sK1 @ sK5 @ sK7 ) )
!= ( sK1 @ sK5 @ sK7 ) )
| spl8_1
| ~ spl8_5 ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f160,definition,
( spl8_9
<=> ( ( sK1 @ sK5 @ ( sK1 @ sK5 @ sK7 ) )
= ( sK1 @ sK5 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
thf(f162,plain,
( ( ( sK1 @ sK5 @ ( sK1 @ sK5 @ sK7 ) )
!= ( sK1 @ sK5 @ sK7 ) )
| spl8_9 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f163,plain,
( ~ spl8_9
| spl8_1
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f149,f39,f22,f160]) ).
thf(f241,plain,
( ( ( sK1 @ sK5 @ sK7 )
!= ( sK1 @ sK5 @ sK7 ) )
| spl8_9 ),
inference(superposition,[],[f162,f65]) ).
thf(f242,plain,
( $false
| spl8_9 ),
inference(trivial_inequality_removal,[],[f241]) ).
thf(f243,plain,
spl8_9,
inference(avatar_contradiction_clause,[],[f242]) ).
thf(f313,plain,
( ! [X0: a] :
( ( sK0 @ ( sK1 @ sK4 @ X0 ) @ sK3 )
= ( sK1 @ sK4 @ ( sK0 @ X0 @ sK3 ) ) )
| ~ spl8_3
| ~ spl8_4 ),
inference(superposition,[],[f37,f33]) ).
thf(f1285,plain,
( ( ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) )
!= ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) ) )
| spl8_2
| ~ spl8_3
| ~ spl8_4 ),
inference(superposition,[],[f28,f313]) ).
thf(f1303,plain,
( $false
| spl8_2
| ~ spl8_3
| ~ spl8_4 ),
inference(trivial_inequality_removal,[],[f1285]) ).
thf(f1304,plain,
( spl8_2
| ~ spl8_3
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
thf(f1370,plain,
( ( ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) )
!= ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) ) )
| ( ( sK1 @ sK4 @ sK3 )
!= sK3 )
| spl8_2
| ~ spl8_5 ),
inference(superposition,[],[f28,f40]) ).
thf(f1395,plain,
( ( ( sK1 @ sK4 @ sK3 )
!= sK3 )
| spl8_2
| ~ spl8_5 ),
inference(trivial_inequality_removal,[],[f1370]) ).
thf(f1407,plain,
( $false
| spl8_2
| ~ spl8_3
| ~ spl8_5 ),
inference(forward_subsumption_resolution,[],[f1395,f33]) ).
thf(f1408,plain,
( spl8_2
| ~ spl8_3
| ~ spl8_5 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
( ~ spl8_1
| spl8_3 ),
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
( spl8_4
| spl8_5 ),
inference(sat_conversion,[],[f41]) ).
cnf(s6,plain,
( spl8_1
| ~ spl8_4 ),
inference(sat_conversion,[],[f116]) ).
cnf(s9,plain,
( spl8_1
| ~ spl8_5
| ~ spl8_9 ),
inference(sat_conversion,[],[f163]) ).
cnf(s10,plain,
spl8_9,
inference(sat_conversion,[],[f243]) ).
cnf(s35,plain,
( spl8_2
| ~ spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s38,plain,
( spl8_2
| ~ spl8_3
| ~ spl8_5 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s39,plain,
( spl8_1
| ~ spl8_5 ),
inference(rat,[],[s9,s10]) ).
cnf(s40,plain,
spl8_1,
inference(rat,[],[s3,s6,s39]) ).
cnf(s47,plain,
spl8_3,
inference(rat,[],[s2,s40]) ).
cnf(s48,plain,
~ spl8_2,
inference(rat,[],[s1,s40]) ).
cnf(s51,plain,
~ spl8_5,
inference(rat,[],[s38,s47,s48]) ).
cnf(s52,plain,
~ spl8_4,
inference(rat,[],[s35,s47,s48]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s3,s51,s52]) ).
thf(f1428,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV000^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n002.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 15:00:07 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 0.09/0.27 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
% 0.71/0.44 % (1403860)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.44 % (1403871)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.44 % (1403871)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
% 0.71/0.44 % (1403870)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2913632630:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.44 % (1403871)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=404593593:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.44 % (1403865)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1274281248:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.44 % (1403866)lrs+10_16_si=on:nwc=1.5:random_seed=3726802648:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.44 % (1403867)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=476386305:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.44 % (1403868)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=819921930: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)
% 0.71/0.44 % (1403869)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1155845160:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.44 % (1403867)Instruction limit reached!
% 0.71/0.44 % (1403867)------------------------------
% 0.71/0.44 % (1403867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403867)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403867)Termination reason: Instruction limit
% 0.71/0.44 % (1403867)Termination phase: Saturation
% 0.71/0.44 % (1403867)Time elapsed: 0.004 s
% 0.71/0.44 % (1403867)Peak memory usage: 11 MB
% 0.71/0.44 % (1403867)Instructions burned: 3 (million)
% 0.71/0.44 % (1403866)Instruction limit reached!
% 0.71/0.44 % (1403866)------------------------------
% 0.71/0.44 % (1403866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403866)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403866)Termination reason: Instruction limit
% 0.71/0.44 % (1403866)Termination phase: Saturation
% 0.71/0.44 % (1403866)Time elapsed: 0.017 s
% 0.71/0.44 % (1403866)Peak memory usage: 12 MB
% 0.71/0.44 % (1403866)Instructions burned: 19 (million)
% 0.71/0.44 % (1403869)Instruction limit reached!
% 0.71/0.44 % (1403869)------------------------------
% 0.71/0.44 % (1403869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403869)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403869)Termination reason: Instruction limit
% 0.71/0.44 % (1403869)Termination phase: Saturation
% 0.71/0.44 % (1403869)Time elapsed: 0.022 s
% 0.71/0.44 % (1403869)Peak memory usage: 12 MB
% 0.71/0.44 % (1403869)Instructions burned: 24 (million)
% 0.71/0.44 % (1403870)Instruction limit reached!
% 0.71/0.44 % (1403870)------------------------------
% 0.71/0.44 % (1403870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403870)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403870)Termination reason: Instruction limit
% 0.71/0.44 % (1403870)Termination phase: Saturation
% 0.71/0.44 % (1403870)Time elapsed: 0.039 s
% 0.71/0.44 % (1403870)Peak memory usage: 12 MB
% 0.71/0.44 % (1403870)Instructions burned: 75 (million)
% 0.71/0.44 % (1403879)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1110489270:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.44 % (1403879)Instruction limit reached!
% 0.71/0.44 % (1403879)------------------------------
% 0.71/0.44 % (1403879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403879)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403879)Termination reason: Instruction limit
% 0.71/0.44 % (1403879)Termination phase: Saturation
% 0.71/0.44 % (1403879)Time elapsed: 0.002 s
% 0.71/0.44 % (1403879)Peak memory usage: 11 MB
% 0.71/0.44 % (1403879)Instructions burned: 2 (million)
% 0.71/0.44 % (1403882)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=615536989:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.44 % (1403880)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1869821704:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.44 % (1403881)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.44 % (1403882)Instruction limit reached!
% 0.71/0.44 % (1403882)------------------------------
% 0.71/0.44 % (1403882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403882)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403882)Termination reason: Instruction limit
% 0.71/0.44 % (1403882)Termination phase: Saturation
% 0.71/0.44 % (1403882)Time elapsed: 0.007 s
% 0.71/0.44 % (1403882)Peak memory usage: 12 MB
% 0.71/0.44 % (1403882)Instructions burned: 14 (million)
% 0.71/0.44 % (1403880)Instruction limit reached!
% 0.71/0.44 % (1403880)------------------------------
% 0.71/0.44 % (1403880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403880)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403880)Termination reason: Instruction limit
% 0.71/0.44 % (1403880)Termination phase: Saturation
% 0.71/0.44 % (1403880)Time elapsed: 0.006 s
% 0.71/0.44 % (1403880)Peak memory usage: 12 MB
% 0.71/0.44 % (1403880)Instructions burned: 6 (million)
% 0.71/0.44 % (1403881)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1549232581:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.44 % (1403881)Instruction limit reached!
% 0.71/0.44 % (1403881)------------------------------
% 0.71/0.44 % (1403881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403881)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403881)Termination reason: Instruction limit
% 0.71/0.44 % (1403881)Termination phase: Saturation
% 0.71/0.44 % (1403881)Time elapsed: 0.006 s
% 0.71/0.44 % (1403881)Peak memory usage: 12 MB
% 0.71/0.44 % (1403881)Instructions burned: 7 (million)
% 0.71/0.44 % (1403884)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
% 0.71/0.44 % (1403884)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.44 % (1403865)Instruction limit reached!
% 0.71/0.44 % (1403865)------------------------------
% 0.71/0.44 % (1403865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403865)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403865)Termination reason: Instruction limit
% 0.71/0.44 % (1403865)Termination phase: Saturation
% 0.71/0.44 % (1403865)Time elapsed: 0.077 s
% 0.71/0.44 % (1403865)Peak memory usage: 12 MB
% 0.71/0.44 % (1403865)Instructions burned: 90 (million)
% 0.71/0.44 % (1403884)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=852659381:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.44 % (1403889)lrs+10_1_si=on:cs=on:random_seed=1944859852:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.71/0.44 % (1403887)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=894878769:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.71/0.44 % (1403889)Instruction limit reached!
% 0.71/0.44 % (1403889)------------------------------
% 0.71/0.44 % (1403889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403889)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403889)Termination reason: Instruction limit
% 0.71/0.44 % (1403889)Termination phase: Saturation
% 0.71/0.44 % (1403889)Time elapsed: 0.005 s
% 0.71/0.44 % (1403889)Peak memory usage: 12 MB
% 0.71/0.44 % (1403889)Instructions burned: 10 (million)
% 0.71/0.44 % (1403890)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.44 % (1403890)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2444119833:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.71/0.44 % (1403890)Instruction limit reached!
% 0.71/0.44 % (1403890)------------------------------
% 0.71/0.44 % (1403890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403890)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403890)Termination reason: Instruction limit
% 0.71/0.44 % (1403890)Termination phase: Saturation
% 0.71/0.44 % (1403890)Time elapsed: 0.003 s
% 0.71/0.44 % (1403890)Peak memory usage: 10 MB
% 0.71/0.44 % (1403890)Instructions burned: 3 (million)
% 0.71/0.44 % (1403884)Instruction limit reached!
% 0.71/0.44 % (1403884)------------------------------
% 0.71/0.44 % (1403884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403884)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403884)Termination reason: Instruction limit
% 0.71/0.44 % (1403884)Termination phase: Saturation
% 0.71/0.44 % (1403884)Time elapsed: 0.024 s
% 0.71/0.44 % (1403884)Peak memory usage: 12 MB
% 0.71/0.44 % (1403884)Instructions burned: 28 (million)
% 0.71/0.44 % (1403868) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1403860-1403868"...
% 0.71/0.44 % (1403895)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=520542838:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.71/0.44 % (1403892)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2348585559:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.71/0.44 % (1403868)...printing done.
% 0.71/0.44 % (1403868)Refutation found. Thanks to Tanya!
% 0.71/0.44 % SZS status Theorem for theBenchmark
% 0.71/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.44 % (1403868)------------------------------
% 0.71/0.44 % (1403868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1403868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1403868)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1403868)Termination reason: Refutation
% 0.71/0.44 % (1403868)Time elapsed: 0.103 s
% 0.71/0.44 % (1403868)Peak memory usage: 13 MB
% 0.71/0.44 % (1403868)Instructions burned: 119 (million)
% 0.71/0.44 % (1403860)Success in time 0.16 s
% 0.71/0.44 % Vampire exiting
%------------------------------------------------------------------------------