%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU999^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:32:07 AM UTC 2026
% Result : Theorem 1.32s 0.54s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 22 unt; 0 typ; 6 def)
% Number of atoms : 358 ( 297 equ; 0 cnn)
% Maximal formula atoms : 39 ( 7 avg)
% Number of connectives : 1102 ( 115 ~; 37 |; 260 &; 678 @)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 179 ( 0 sgn 143 !; 36 ?; 179 :)
% 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(f1,conjecture,
! [X1: a > a > a,X0: a > a > a] :
( ( ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X2: a,X3: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) ) )
=> ( ? [X3: a,X5: a,X7: a,X2: a,X6: a] :
( ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( X7 != X3 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( X6 != X2 )
& ( X5 != X3 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( X6 != X7 )
& ( X2 != X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( X7 != X2 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( X5 != X6 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( X5 != X2 )
& ( X5 != X7 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( X6 != X3 ) )
=> ~ ! [X2: a,X4: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPENTAGON_THM2B_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X2: a,X3: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) ) )
=> ( ? [X3: a,X5: a,X7: a,X2: a,X6: a] :
( ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( X7 != X3 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( X6 != X2 )
& ( X5 != X3 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( X6 != X7 )
& ( X2 != X3 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( X7 != X2 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( X5 != X6 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( X5 != X2 )
& ( X5 != X7 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( X6 != X3 ) )
=> ~ ! [X2: a,X4: a,X3: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ! [X8: a,X10: a,X9: a] :
( ( X0 @ X10 @ ( X0 @ X8 @ X9 ) )
= ( X0 @ ( X0 @ X10 @ X8 ) @ X9 ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X5: a,X4: a] :
( ( X0 @ X5 @ X4 )
= ( X0 @ X4 @ X5 ) )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X13 @ X14 ) @ X14 )
= X14 )
& ! [X17: a,X15: a,X16: a] :
( ( X1 @ ( X1 @ X16 @ X17 ) @ X15 )
= ( X1 @ X16 @ ( X1 @ X17 @ X15 ) ) )
& ! [X6: a] :
( ( X1 @ X6 @ X6 )
= X6 )
& ! [X7: a] :
( ( X0 @ X7 @ X7 )
= X7 )
& ! [X11: a,X12: a] :
( ( X1 @ ( X0 @ X11 @ X12 ) @ X12 )
= X12 ) )
=> ( ? [X20: a,X22: a,X21: a,X19: a,X18: a] :
( ( ( X0 @ X21 @ X20 )
= X20 )
& ( ( X1 @ X21 @ X22 )
= X21 )
& ( ( X1 @ X19 @ X22 )
= X21 )
& ( ( X0 @ X21 @ X22 )
= X22 )
& ( X18 != X20 )
& ( X19 != X21 )
& ( X18 != X22 )
& ( ( X0 @ X22 @ X20 )
= X18 )
& ( X19 != X20 )
& ( ( X1 @ X22 @ X18 )
= X22 )
& ( X19 != X22 )
& ( ( X1 @ X21 @ X19 )
= X21 )
& ( ( X1 @ X21 @ X20 )
= X21 )
& ( ( X0 @ X20 @ X18 )
= X18 )
& ( ( X0 @ X19 @ X22 )
= X18 )
& ( ( X1 @ X20 @ X18 )
= X20 )
& ( X21 != X22 )
& ( ( X0 @ X22 @ X18 )
= X18 )
& ( ( X0 @ X21 @ X18 )
= X18 )
& ( ( X0 @ X21 @ X19 )
= X19 )
& ( ( X1 @ X19 @ X20 )
= X20 )
& ( X20 != X21 )
& ( ( X0 @ X19 @ X20 )
= X19 )
& ( X18 != X21 )
& ( ( X0 @ X19 @ X18 )
= X18 )
& ( ( X1 @ X19 @ X18 )
= X19 )
& ( ( X1 @ X22 @ X20 )
= X21 )
& ( ( X1 @ X21 @ X18 )
= X21 )
& ( X18 != X19 )
& ( X20 != X22 ) )
=> ~ ! [X24: a,X25: a,X23: a] :
( ( X0 @ ( X1 @ X23 @ X25 ) @ ( X1 @ X23 @ X24 ) )
= ( X1 @ X23 @ ( X0 @ X25 @ ( X1 @ X23 @ X24 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X1: a > a > a,X0: a > a > a] :
( ! [X24: a,X25: a,X23: a] :
( ( X0 @ ( X1 @ X23 @ X25 ) @ ( X1 @ X23 @ X24 ) )
= ( X1 @ X23 @ ( X0 @ X25 @ ( X1 @ X23 @ X24 ) ) ) )
& ? [X20: a,X22: a,X21: a,X19: a,X18: a] :
( ( ( X0 @ X21 @ X20 )
= X20 )
& ( ( X1 @ X21 @ X22 )
= X21 )
& ( ( X1 @ X19 @ X22 )
= X21 )
& ( ( X0 @ X21 @ X22 )
= X22 )
& ( X18 != X20 )
& ( X19 != X21 )
& ( X18 != X22 )
& ( ( X0 @ X22 @ X20 )
= X18 )
& ( X19 != X20 )
& ( ( X1 @ X22 @ X18 )
= X22 )
& ( X19 != X22 )
& ( ( X1 @ X21 @ X19 )
= X21 )
& ( ( X1 @ X21 @ X20 )
= X21 )
& ( ( X0 @ X20 @ X18 )
= X18 )
& ( ( X0 @ X19 @ X22 )
= X18 )
& ( ( X1 @ X20 @ X18 )
= X20 )
& ( X21 != X22 )
& ( ( X0 @ X22 @ X18 )
= X18 )
& ( ( X0 @ X21 @ X18 )
= X18 )
& ( ( X0 @ X21 @ X19 )
= X19 )
& ( ( X1 @ X19 @ X20 )
= X20 )
& ( X20 != X21 )
& ( ( X0 @ X19 @ X20 )
= X19 )
& ( X18 != X21 )
& ( ( X0 @ X19 @ X18 )
= X18 )
& ( ( X1 @ X19 @ X18 )
= X19 )
& ( ( X1 @ X22 @ X20 )
= X21 )
& ( ( X1 @ X21 @ X18 )
= X21 )
& ( X18 != X19 )
& ( X20 != X22 ) )
& ! [X8: a,X10: a,X9: a] :
( ( X0 @ X10 @ ( X0 @ X8 @ X9 ) )
= ( X0 @ ( X0 @ X10 @ X8 ) @ X9 ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X5: a,X4: a] :
( ( X0 @ X5 @ X4 )
= ( X0 @ X4 @ X5 ) )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X13 @ X14 ) @ X14 )
= X14 )
& ! [X17: a,X15: a,X16: a] :
( ( X1 @ ( X1 @ X16 @ X17 ) @ X15 )
= ( X1 @ X16 @ ( X1 @ X17 @ X15 ) ) )
& ! [X6: a] :
( ( X1 @ X6 @ X6 )
= X6 )
& ! [X7: a] :
( ( X0 @ X7 @ X7 )
= X7 )
& ! [X11: a,X12: a] :
( ( X1 @ ( X0 @ X11 @ X12 ) @ X12 )
= X12 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X8: a,X10: a,X9: a] :
( ( X0 @ X10 @ ( X0 @ X8 @ X9 ) )
= ( X0 @ ( X0 @ X10 @ X8 ) @ X9 ) )
& ! [X7: a] :
( ( X0 @ X7 @ X7 )
= X7 )
& ! [X11: a,X12: a] :
( ( X1 @ ( X0 @ X11 @ X12 ) @ X12 )
= X12 )
& ? [X20: a,X22: a,X21: a,X19: a,X18: a] :
( ( ( X0 @ X21 @ X20 )
= X20 )
& ( ( X1 @ X21 @ X22 )
= X21 )
& ( ( X1 @ X19 @ X22 )
= X21 )
& ( ( X0 @ X21 @ X22 )
= X22 )
& ( X18 != X20 )
& ( X19 != X21 )
& ( X18 != X22 )
& ( ( X0 @ X22 @ X20 )
= X18 )
& ( X19 != X20 )
& ( ( X1 @ X22 @ X18 )
= X22 )
& ( X19 != X22 )
& ( ( X1 @ X21 @ X19 )
= X21 )
& ( ( X1 @ X21 @ X20 )
= X21 )
& ( ( X0 @ X20 @ X18 )
= X18 )
& ( ( X0 @ X19 @ X22 )
= X18 )
& ( ( X1 @ X20 @ X18 )
= X20 )
& ( X21 != X22 )
& ( ( X0 @ X22 @ X18 )
= X18 )
& ( ( X0 @ X21 @ X18 )
= X18 )
& ( ( X0 @ X21 @ X19 )
= X19 )
& ( ( X1 @ X19 @ X20 )
= X20 )
& ( X20 != X21 )
& ( ( X0 @ X19 @ X20 )
= X19 )
& ( X18 != X21 )
& ( ( X0 @ X19 @ X18 )
= X18 )
& ( ( X1 @ X19 @ X18 )
= X19 )
& ( ( X1 @ X22 @ X20 )
= X21 )
& ( ( X1 @ X21 @ X18 )
= X21 )
& ( X18 != X19 )
& ( X20 != X22 ) )
& ! [X17: a,X15: a,X16: a] :
( ( X1 @ ( X1 @ X16 @ X17 ) @ X15 )
= ( X1 @ X16 @ ( X1 @ X17 @ X15 ) ) )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X13 @ X14 ) @ X14 )
= X14 )
& ! [X5: a,X4: a] :
( ( X0 @ X5 @ X4 )
= ( X0 @ X4 @ X5 ) )
& ! [X24: a,X25: a,X23: a] :
( ( X0 @ ( X1 @ X23 @ X25 ) @ ( X1 @ X23 @ X24 ) )
= ( X1 @ X23 @ ( X0 @ X25 @ ( X1 @ X23 @ X24 ) ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X6: a] :
( ( X1 @ X6 @ X6 )
= X6 ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X3 @ X2 ) @ X4 )
= ( X0 @ X3 @ ( X0 @ X2 @ X4 ) ) )
& ! [X5: a] :
( ( X0 @ X5 @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ ( X0 @ X6 @ X7 ) @ X7 )
= X7 )
& ? [X8: a,X9: a,X10: a,X11: a,X12: a] :
( ( ( X0 @ X10 @ X8 )
= X8 )
& ( ( X1 @ X10 @ X9 )
= X10 )
& ( ( X1 @ X11 @ X9 )
= X10 )
& ( ( X0 @ X10 @ X9 )
= X9 )
& ( X8 != X12 )
& ( X10 != X11 )
& ( X9 != X12 )
& ( ( X0 @ X9 @ X8 )
= X12 )
& ( X8 != X11 )
& ( ( X1 @ X9 @ X12 )
= X9 )
& ( X9 != X11 )
& ( ( X1 @ X10 @ X11 )
= X10 )
& ( ( X1 @ X10 @ X8 )
= X10 )
& ( ( X0 @ X8 @ X12 )
= X12 )
& ( ( X0 @ X11 @ X9 )
= X12 )
& ( ( X1 @ X8 @ X12 )
= X8 )
& ( X9 != X10 )
& ( ( X0 @ X9 @ X12 )
= X12 )
& ( ( X0 @ X10 @ X12 )
= X12 )
& ( ( X0 @ X10 @ X11 )
= X11 )
& ( ( X1 @ X11 @ X8 )
= X8 )
& ( X8 != X10 )
& ( ( X0 @ X11 @ X8 )
= X11 )
& ( X10 != X12 )
& ( ( X0 @ X11 @ X12 )
= X12 )
& ( ( X1 @ X11 @ X12 )
= X11 )
& ( ( X1 @ X9 @ X8 )
= X10 )
& ( ( X1 @ X10 @ X12 )
= X10 )
& ( X11 != X12 )
& ( X8 != X9 ) )
& ! [X13: a,X14: a,X15: a] :
( ( X1 @ ( X1 @ X15 @ X13 ) @ X14 )
= ( X1 @ X15 @ ( X1 @ X13 @ X14 ) ) )
& ! [X16: a,X17: a] :
( ( X0 @ ( X1 @ X16 @ X17 ) @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( X0 @ X19 @ X18 )
= ( X0 @ X18 @ X19 ) )
& ! [X20: a,X21: a,X22: a] :
( ( X0 @ ( X1 @ X22 @ X21 ) @ ( X1 @ X22 @ X20 ) )
= ( X1 @ X22 @ ( X0 @ X21 @ ( X1 @ X22 @ X20 ) ) ) )
& ! [X23: a,X24: a] :
( ( X1 @ X23 @ X24 )
= ( X1 @ X24 @ X23 ) )
& ! [X25: a] :
( ( X1 @ X25 @ X25 )
= X25 ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X2: a,X3: a,X4: a] :
( ( sK0 @ X3 @ ( sK0 @ X2 @ X4 ) )
= ( sK0 @ ( sK0 @ X3 @ X2 ) @ X4 ) )
& ! [X5: a] :
( ( sK0 @ X5 @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( sK1 @ ( sK0 @ X6 @ X7 ) @ X7 )
= X7 )
& ( sK2
= ( sK0 @ sK4 @ sK2 ) )
& ( ( sK1 @ sK4 @ sK3 )
= sK4 )
& ( ( sK1 @ sK5 @ sK3 )
= sK4 )
& ( sK3
= ( sK0 @ sK4 @ sK3 ) )
& ( sK2 != sK6 )
& ( sK5 != sK4 )
& ( sK6 != sK3 )
& ( ( sK0 @ sK3 @ sK2 )
= sK6 )
& ( sK2 != sK5 )
& ( ( sK1 @ sK3 @ sK6 )
= sK3 )
& ( sK5 != sK3 )
& ( ( sK1 @ sK4 @ sK5 )
= sK4 )
& ( sK4
= ( sK1 @ sK4 @ sK2 ) )
& ( ( sK0 @ sK2 @ sK6 )
= sK6 )
& ( ( sK0 @ sK5 @ sK3 )
= sK6 )
& ( ( sK1 @ sK2 @ sK6 )
= sK2 )
& ( sK4 != sK3 )
& ( sK6
= ( sK0 @ sK3 @ sK6 ) )
& ( sK6
= ( sK0 @ sK4 @ sK6 ) )
& ( ( sK0 @ sK4 @ sK5 )
= sK5 )
& ( sK2
= ( sK1 @ sK5 @ sK2 ) )
& ( sK2 != sK4 )
& ( sK5
= ( sK0 @ sK5 @ sK2 ) )
& ( sK4 != sK6 )
& ( sK6
= ( sK0 @ sK5 @ sK6 ) )
& ( ( sK1 @ sK5 @ sK6 )
= sK5 )
& ( ( sK1 @ sK3 @ sK2 )
= sK4 )
& ( sK4
= ( sK1 @ sK4 @ sK6 ) )
& ( sK5 != sK6 )
& ( sK2 != sK3 )
& ! [X13: a,X14: a,X15: a] :
( ( sK1 @ X15 @ ( sK1 @ X13 @ X14 ) )
= ( sK1 @ ( sK1 @ X15 @ X13 ) @ X14 ) )
& ! [X16: a,X17: a] :
( ( sK0 @ ( sK1 @ X16 @ X17 ) @ X17 )
= X17 )
& ! [X18: a,X19: a] :
( ( sK0 @ X18 @ X19 )
= ( sK0 @ X19 @ X18 ) )
& ! [X20: a,X21: a,X22: a] :
( ( sK1 @ X22 @ ( sK0 @ X21 @ ( sK1 @ X22 @ X20 ) ) )
= ( sK0 @ ( sK1 @ X22 @ X21 ) @ ( sK1 @ X22 @ X20 ) ) )
& ! [X23: a,X24: a] :
( ( sK1 @ X24 @ X23 )
= ( sK1 @ X23 @ X24 ) )
& ! [X25: a] :
( ( sK1 @ X25 @ X25 )
= X25 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X8,sK2),skolemize(X9,sK3),skolemize(X10,sK4),skolemize(X11,sK5),skolemize(X12,sK6)],[f6]) ).
thf(f10,plain,
! [X21: a,X22: a,X20: a] :
( ( sK1 @ X22 @ ( sK0 @ X21 @ ( sK1 @ X22 @ X20 ) ) )
= ( sK0 @ ( sK1 @ X22 @ X21 ) @ ( sK1 @ X22 @ X20 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
( ( sK1 @ sK5 @ sK6 )
= sK5 ),
inference(cnf_transformation,[],[f7]) ).
thf(f23,plain,
( sK2
= ( sK1 @ sK5 @ sK2 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f35,plain,
sK2 != sK5,
inference(cnf_transformation,[],[f7]) ).
thf(f36,plain,
( ( sK0 @ sK3 @ sK2 )
= sK6 ),
inference(cnf_transformation,[],[f7]) ).
thf(f41,plain,
( ( sK1 @ sK5 @ sK3 )
= sK4 ),
inference(cnf_transformation,[],[f7]) ).
thf(f43,plain,
( sK2
= ( sK0 @ sK4 @ sK2 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f53,definition,
( spl7_2
<=> ( sK2
= ( sK0 @ sK4 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
thf(f55,plain,
( ( sK2
= ( sK0 @ sK4 @ sK2 ) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f56,plain,
spl7_2,
inference(avatar_split_clause,[],[f43,f53]) ).
thf(f58,definition,
( spl7_3
<=> ( ( sK0 @ sK3 @ sK2 )
= sK6 ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
thf(f60,plain,
( ( ( sK0 @ sK3 @ sK2 )
= sK6 )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f61,plain,
spl7_3,
inference(avatar_split_clause,[],[f36,f58]) ).
thf(f103,definition,
( spl7_12
<=> ( ( sK1 @ sK5 @ sK6 )
= sK5 ) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
thf(f105,plain,
( ( ( sK1 @ sK5 @ sK6 )
= sK5 )
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,plain,
spl7_12,
inference(avatar_split_clause,[],[f18,f103]) ).
thf(f133,definition,
( spl7_18
<=> ( sK2
= ( sK1 @ sK5 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
thf(f135,plain,
( ( sK2
= ( sK1 @ sK5 @ sK2 ) )
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f136,plain,
spl7_18,
inference(avatar_split_clause,[],[f23,f133]) ).
thf(f143,definition,
( spl7_20
<=> ( ( sK1 @ sK5 @ sK3 )
= sK4 ) ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
thf(f145,plain,
( ( ( sK1 @ sK5 @ sK3 )
= sK4 )
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f143]) ).
thf(f146,plain,
spl7_20,
inference(avatar_split_clause,[],[f41,f143]) ).
thf(f178,definition,
( spl7_27
<=> ( sK2 = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
thf(f180,plain,
( ( sK2 != sK5 )
| spl7_27 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f181,plain,
~ spl7_27,
inference(avatar_split_clause,[],[f35,f178]) ).
thf(f388,plain,
( ! [X0: a] :
( ( sK1 @ sK5 @ ( sK0 @ X0 @ sK2 ) )
= ( sK0 @ ( sK1 @ sK5 @ X0 ) @ sK2 ) )
| ~ spl7_18 ),
inference(superposition,[],[f10,f135]) ).
thf(f3015,plain,
( ( ( sK1 @ sK5 @ ( sK0 @ sK3 @ sK2 ) )
= ( sK0 @ sK4 @ sK2 ) )
| ~ spl7_18
| ~ spl7_20 ),
inference(superposition,[],[f388,f145]) ).
thf(f3051,plain,
( ( ( sK1 @ sK5 @ ( sK0 @ sK3 @ sK2 ) )
= sK2 )
| ~ spl7_2
| ~ spl7_18
| ~ spl7_20 ),
inference(forward_demodulation,[],[f3015,f55]) ).
thf(f3069,plain,
( ( ( sK1 @ sK5 @ sK6 )
= sK2 )
| ~ spl7_2
| ~ spl7_3
| ~ spl7_18
| ~ spl7_20 ),
inference(forward_demodulation,[],[f3051,f60]) ).
thf(f3074,plain,
( ( sK2 = sK5 )
| ~ spl7_2
| ~ spl7_3
| ~ spl7_12
| ~ spl7_18
| ~ spl7_20 ),
inference(forward_demodulation,[],[f3069,f105]) ).
thf(f3075,plain,
( $false
| ~ spl7_2
| ~ spl7_3
| ~ spl7_12
| ~ spl7_18
| ~ spl7_20
| spl7_27 ),
inference(forward_subsumption_resolution,[],[f3074,f180]) ).
thf(f3076,plain,
( ~ spl7_2
| ~ spl7_3
| ~ spl7_12
| ~ spl7_18
| ~ spl7_20
| spl7_27 ),
inference(avatar_contradiction_clause,[],[f3075]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f61]) ).
cnf(s12,plain,
spl7_12,
inference(sat_conversion,[],[f106]) ).
cnf(s18,plain,
spl7_18,
inference(sat_conversion,[],[f136]) ).
cnf(s20,plain,
spl7_20,
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
~ spl7_27,
inference(sat_conversion,[],[f181]) ).
cnf(s92,plain,
( ~ spl7_2
| ~ spl7_3
| ~ spl7_12
| ~ spl7_18
| ~ spl7_20
| spl7_27 ),
inference(sat_conversion,[],[f3076]) ).
cnf(s110,plain,
~ spl7_2,
inference(rat,[],[s92,s27,s20,s18,s12,s3]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s2,s110]) ).
thf(f3077,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU999^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n010.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 14:57:48 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 Running higher-order theorem proving
% 0.25/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.54 % (2966481)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.59/0.54 % (2966492)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.59/0.54 % (2966492)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
% 0.59/0.54 % (2966486)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1129765449:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.59/0.54 % (2966492)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=3421354692:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.59/0.54 % (2966491)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4101447117:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.59/0.54 % (2966488)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2941292588:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.59/0.54 % (2966489)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=3187128099: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)
% 0.59/0.54 % (2966490)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1189997303:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.59/0.54 % (2966487)lrs+10_16_si=on:nwc=1.5:random_seed=449081205:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.59/0.54 % (2966488)Instruction limit reached!
% 0.59/0.54 % (2966488)------------------------------
% 0.59/0.54 % (2966488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966488)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966488)Termination reason: Instruction limit
% 0.59/0.54 % (2966488)Termination phase: Saturation
% 0.59/0.54 % (2966488)Time elapsed: 0.003 s
% 0.59/0.54 % (2966488)Peak memory usage: 11 MB
% 0.59/0.54 % (2966488)Instructions burned: 3 (million)
% 0.59/0.54 % (2966487)Instruction limit reached!
% 0.59/0.54 % (2966487)------------------------------
% 0.59/0.54 % (2966487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966487)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966487)Termination reason: Instruction limit
% 0.59/0.54 % (2966487)Termination phase: Saturation
% 0.59/0.54 % (2966487)Time elapsed: 0.016 s
% 0.59/0.54 % (2966487)Peak memory usage: 12 MB
% 0.59/0.54 % (2966487)Instructions burned: 18 (million)
% 0.59/0.54 % (2966490)Instruction limit reached!
% 0.59/0.54 % (2966490)------------------------------
% 0.59/0.54 % (2966490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966490)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966490)Termination reason: Instruction limit
% 0.59/0.54 % (2966490)Termination phase: Saturation
% 0.59/0.54 % (2966490)Time elapsed: 0.023 s
% 0.59/0.54 % (2966490)Peak memory usage: 12 MB
% 0.59/0.54 % (2966490)Instructions burned: 24 (million)
% 0.59/0.54 % (2966500)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=599240054:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.54 % (2966500)Instruction limit reached!
% 0.59/0.54 % (2966500)------------------------------
% 0.59/0.54 % (2966500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966500)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966500)Termination reason: Instruction limit
% 0.59/0.54 % (2966500)Termination phase: Saturation
% 0.59/0.54 % (2966500)Time elapsed: 0.005 s
% 0.59/0.54 % (2966500)Peak memory usage: 12 MB
% 0.59/0.54 % (2966500)Instructions burned: 5 (million)
% 0.59/0.54 % (2966502)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.54 % (2966492)Instruction limit reached!
% 0.59/0.54 % (2966492)------------------------------
% 0.59/0.54 % (2966492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966492)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966492)Termination reason: Instruction limit
% 0.59/0.54 % (2966492)Termination phase: Saturation
% 0.59/0.54 % (2966492)Time elapsed: 0.073 s
% 0.59/0.54 % (2966492)Peak memory usage: 13 MB
% 0.59/0.54 % (2966492)Instructions burned: 158 (million)
% 0.59/0.54 % (2966491)Instruction limit reached!
% 0.59/0.54 % (2966491)------------------------------
% 0.59/0.54 % (2966491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966486)Instruction limit reached!
% 0.59/0.54 % (2966486)------------------------------
% 0.59/0.54 % (2966486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966491)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966486)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966486)Termination reason: Instruction limit
% 0.59/0.54 % (2966486)Termination phase: Saturation
% 0.59/0.54 % (2966491)Termination reason: Instruction limit
% 0.59/0.54 % (2966491)Termination phase: Saturation
% 0.59/0.54 % (2966486)Time elapsed: 0.078 s
% 0.59/0.54 % (2966491)Time elapsed: 0.071 s
% 0.59/0.54 % (2966486)Peak memory usage: 12 MB
% 0.59/0.54 % (2966491)Peak memory usage: 12 MB
% 0.59/0.54 % (2966491)Instructions burned: 75 (million)
% 0.59/0.54 % (2966486)Instructions burned: 87 (million)
% 0.59/0.54 % (2966501)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=334025578:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.59/0.54 % (2966502)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1000836557:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.59/0.54 % (2966501)Instruction limit reached!
% 0.59/0.54 % (2966501)------------------------------
% 0.59/0.54 % (2966501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966501)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966501)Termination reason: Instruction limit
% 0.59/0.54 % (2966501)Termination phase: Saturation
% 0.59/0.54 % (2966501)Time elapsed: 0.006 s
% 0.59/0.54 % (2966501)Peak memory usage: 12 MB
% 0.59/0.54 % (2966501)Instructions burned: 6 (million)
% 0.59/0.54 % (2966504)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=591841199:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.59/0.54 % (2966502)Instruction limit reached!
% 0.59/0.54 % (2966502)------------------------------
% 0.59/0.54 % (2966502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966502)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966502)Termination reason: Instruction limit
% 0.59/0.54 % (2966502)Termination phase: Saturation
% 0.59/0.54 % (2966502)Time elapsed: 0.015 s
% 0.59/0.54 % (2966502)Peak memory usage: 11 MB
% 0.59/0.54 % (2966502)Instructions burned: 7 (million)
% 0.59/0.54 % (2966504)Instruction limit reached!
% 0.59/0.54 % (2966504)------------------------------
% 0.59/0.54 % (2966504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.54 % (2966504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.54 % (2966504)CaDiCaL version: 2.1.3
% 0.59/0.54 % (2966504)Termination reason: Instruction limit
% 0.59/0.54 % (2966504)Termination phase: Saturation
% 0.59/0.54 % (2966504)Time elapsed: 0.006 s
% 0.59/0.54 % (2966504)Peak memory usage: 12 MB
% 0.59/0.54 % (2966504)Instructions burned: 13 (million)
% 0.59/0.54 % (2966505)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
% 0.59/0.54 % (2966505)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.54 % (2966506)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=3939261294:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.32/0.54 % (2966505)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=734900724:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.32/0.54 % (2966510)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.32/0.54 % (2966507)lrs+10_1_si=on:cs=on:random_seed=2876407134:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.32/0.54 % (2966510)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=854723085:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.32/0.54 % (2966510)Instruction limit reached!
% 1.32/0.54 % (2966510)------------------------------
% 1.32/0.54 % (2966510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.54 % (2966510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.54 % (2966510)CaDiCaL version: 2.1.3
% 1.32/0.54 % (2966510)Termination reason: Instruction limit
% 1.32/0.54 % (2966510)Termination phase: Property scanning
% 1.32/0.54 % (2966510)Time elapsed: 0.004 s
% 1.32/0.54 % (2966510)Peak memory usage: 10 MB
% 1.32/0.54 % (2966510)Instructions burned: 5 (million)
% 1.32/0.54 % (2966507)Instruction limit reached!
% 1.32/0.54 % (2966507)------------------------------
% 1.32/0.54 % (2966507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.54 % (2966507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.54 % (2966507)CaDiCaL version: 2.1.3
% 1.32/0.54 % (2966507)Termination reason: Instruction limit
% 1.32/0.54 % (2966507)Termination phase: Saturation
% 1.32/0.54 % (2966507)Time elapsed: 0.008 s
% 1.32/0.54 % (2966507)Peak memory usage: 12 MB
% 1.32/0.54 % (2966507)Instructions burned: 8 (million)
% 1.32/0.54 % (2966505)Instruction limit reached!
% 1.32/0.54 % (2966505)------------------------------
% 1.32/0.54 % (2966505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.54 % (2966505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.54 % (2966505)CaDiCaL version: 2.1.3
% 1.32/0.54 % (2966505)Termination reason: Instruction limit
% 1.32/0.54 % (2966505)Termination phase: Saturation
% 1.32/0.54 % (2966505)Time elapsed: 0.022 s
% 1.32/0.54 % (2966505)Peak memory usage: 12 MB
% 1.32/0.54 % (2966505)Instructions burned: 29 (million)
% 1.32/0.54 % (2966489) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966481-2966489"...
% 1.32/0.54 % (2966512)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=397197706:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.32/0.54 % (2966489)...printing done.
% 1.32/0.54 % (2966506)Instruction limit reached!
% 1.32/0.54 % (2966506)------------------------------
% 1.32/0.54 % (2966506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.54 % (2966506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.54 % (2966506)CaDiCaL version: 2.1.3
% 1.32/0.54 % (2966506)Termination reason: Instruction limit
% 1.32/0.54 % (2966506)Termination phase: Saturation
% 1.32/0.54 % (2966506)Time elapsed: 0.071 s
% 1.32/0.54 % (2966506)Peak memory usage: 12 MB
% 1.32/0.54 % (2966506)Instructions burned: 86 (million)
% 1.32/0.54 % (2966513)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1574070833:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.32/0.54 % (2966489)Refutation found. Thanks to Tanya!
% 1.32/0.54 % SZS status Theorem for theBenchmark
% 1.32/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.55 % (2966489)------------------------------
% 1.32/0.55 % (2966489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.55 % (2966489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.55 % (2966489)CaDiCaL version: 2.1.3
% 1.32/0.55 % (2966489)Termination reason: Refutation
% 1.32/0.55 % (2966489)Time elapsed: 0.181 s
% 1.32/0.55 % (2966489)Peak memory usage: 15 MB
% 1.32/0.55 % (2966489)Instructions burned: 209 (million)
% 1.32/0.55 % (2966481)Success in time 0.248 s
% 1.32/0.55 % Vampire exiting
%------------------------------------------------------------------------------