%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV006^5 : 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 : n007.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 08:37:27 AM UTC 2026
% Result : Theorem 0.22s 0.33s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 1
% Syntax : Number of formulae : 50 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 598 ( 597 equ; 0 cnn)
% Maximal formula atoms : 39 ( 11 avg)
% Number of connectives : 2977 ( 469 ~; 358 |; 187 &;1960 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 14 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 307 ( 0 ^; 247 !; 60 ?; 307 :)
% 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(func_def_9,type,
sK8: a ).
thf(func_def_10,type,
sK9: a ).
thf(f1,conjecture,
! [X1: a > a > a,X0: a > a > a] :
( ( ? [X2: a,X3: a,X7: a,X6: a,X5: a] :
( ( X6 != X2 )
& ( X5 != X3 )
& ( X5 != X6 )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X5 != X2 )
& ( X7 != X2 )
& ( X6 != X3 )
& ( X7 != X3 )
& ( X2 != X3 ) )
& ~ ! [X3: a,X4: a,X2: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X3: a,X2: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X3: a,X2: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) )
=> ? [X5: a,X6: a,X3: a,X7: a,X2: a] :
( ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X0 @ X5 @ X6 )
= X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPENTAGON_THM2D_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > a,X0: a > a > a] :
( ( ? [X2: a,X3: a,X7: a,X6: a,X5: a] :
( ( X6 != X2 )
& ( X5 != X3 )
& ( X5 != X6 )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X5 != X2 )
& ( X7 != X2 )
& ( X6 != X3 )
& ( X7 != X3 )
& ( X2 != X3 ) )
& ~ ! [X3: a,X4: a,X2: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X3: a,X2: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X3: a,X2: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) )
=> ? [X5: a,X6: a,X3: a,X7: a,X2: a] :
( ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X2 @ X3 )
= X3 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X0 @ X5 @ X6 )
= X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X24: a,X25: a] :
( ( X1 @ X24 @ X25 )
= ( X1 @ X25 @ X24 ) )
& ~ ! [X9: a,X8: a,X7: a] :
( ( X1 @ X9 @ ( X0 @ X7 @ ( X1 @ X9 @ X8 ) ) )
= ( X0 @ ( X1 @ X9 @ X7 ) @ ( X1 @ X9 @ X8 ) ) )
& ! [X16: a,X15: a,X17: a] :
( ( X0 @ X16 @ ( X0 @ X15 @ X17 ) )
= ( X0 @ ( X0 @ X16 @ X15 ) @ X17 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X11 @ X10 ) @ X12 )
= ( X1 @ X11 @ ( X1 @ X10 @ X12 ) ) )
& ! [X18: a] :
( ( X0 @ X18 @ X18 )
= X18 )
& ! [X20: a,X21: a] :
( ( X1 @ ( X0 @ X20 @ X21 ) @ X21 )
= X21 )
& ? [X2: a,X4: a,X3: a,X6: a,X5: a] :
( ( X4 != X5 )
& ( X2 != X6 )
& ( X3 != X4 )
& ( X3 != X5 )
& ( X5 != X6 )
& ( X2 != X5 )
& ( X2 != X4 )
& ( X4 != X6 )
& ( X2 != X3 )
& ( X3 != X6 ) )
& ! [X14: a,X13: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X19: a] :
( ( X1 @ X19 @ X19 )
= X19 )
& ! [X23: a,X22: a] :
( ( X0 @ ( X1 @ X22 @ X23 ) @ X23 )
= X23 ) )
=> ? [X29: a,X28: a,X27: a,X30: a,X26: a] :
( ( ( X1 @ X30 @ X26 )
= X30 )
& ( ( X0 @ X26 @ X29 )
= X26 )
& ( ( X1 @ X30 @ X28 )
= X30 )
& ( ( X0 @ X27 @ X29 )
= X28 )
& ( ( X1 @ X29 @ X28 )
= X29 )
& ( ( X1 @ X27 @ X28 )
= X27 )
& ( ( X0 @ X26 @ X27 )
= X28 )
& ( ( X0 @ X27 @ X28 )
= X28 )
& ( ( X0 @ X29 @ X28 )
= X28 )
& ( ( X1 @ X27 @ X29 )
= X30 )
& ( ( X0 @ X30 @ X27 )
= X27 )
& ( ( X0 @ X30 @ X29 )
= X29 )
& ( ( X1 @ X26 @ X29 )
= X29 )
& ( ( X1 @ X30 @ X29 )
= X30 )
& ( ( X1 @ X26 @ X27 )
= X30 )
& ( ( X0 @ X30 @ X28 )
= X28 )
& ( ( X0 @ X26 @ X28 )
= X28 )
& ( ( X1 @ X30 @ X27 )
= X30 )
& ( ( X1 @ X26 @ X28 )
= X26 )
& ( ( X0 @ X30 @ X26 )
= X26 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X27: a,X26: a,X29: a,X30: a,X28: a] :
( ( ( X1 @ X26 @ X28 )
!= X26 )
| ( ( X0 @ X30 @ X27 )
!= X27 )
| ( ( X1 @ X27 @ X29 )
!= X30 )
| ( ( X1 @ X26 @ X29 )
!= X29 )
| ( ( X0 @ X26 @ X28 )
!= X28 )
| ( ( X0 @ X29 @ X28 )
!= X28 )
| ( ( X1 @ X27 @ X28 )
!= X27 )
| ( ( X0 @ X30 @ X26 )
!= X26 )
| ( ( X1 @ X30 @ X27 )
!= X30 )
| ( ( X0 @ X30 @ X29 )
!= X29 )
| ( ( X0 @ X27 @ X29 )
!= X28 )
| ( ( X1 @ X30 @ X26 )
!= X30 )
| ( ( X1 @ X26 @ X27 )
!= X30 )
| ( ( X1 @ X29 @ X28 )
!= X29 )
| ( ( X0 @ X26 @ X27 )
!= X28 )
| ( ( X0 @ X26 @ X29 )
!= X26 )
| ( ( X0 @ X30 @ X28 )
!= X28 )
| ( ( X0 @ X27 @ X28 )
!= X28 )
| ( ( X1 @ X30 @ X29 )
!= X30 )
| ( ( X1 @ X30 @ X28 )
!= X30 ) )
& ! [X24: a,X25: a] :
( ( X1 @ X24 @ X25 )
= ( X1 @ X25 @ X24 ) )
& ? [X8: a,X9: a,X7: a] :
( ( X1 @ X9 @ ( X0 @ X7 @ ( X1 @ X9 @ X8 ) ) )
!= ( X0 @ ( X1 @ X9 @ X7 ) @ ( X1 @ X9 @ X8 ) ) )
& ! [X16: a,X15: a,X17: a] :
( ( X0 @ X16 @ ( X0 @ X15 @ X17 ) )
= ( X0 @ ( X0 @ X16 @ X15 ) @ X17 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X11 @ X10 ) @ X12 )
= ( X1 @ X11 @ ( X1 @ X10 @ X12 ) ) )
& ! [X18: a] :
( ( X0 @ X18 @ X18 )
= X18 )
& ! [X20: a,X21: a] :
( ( X1 @ ( X0 @ X20 @ X21 ) @ X21 )
= X21 )
& ? [X2: a,X4: a,X3: a,X6: a,X5: a] :
( ( X4 != X5 )
& ( X2 != X6 )
& ( X3 != X4 )
& ( X3 != X5 )
& ( X5 != X6 )
& ( X2 != X5 )
& ( X2 != X4 )
& ( X4 != X6 )
& ( X2 != X3 )
& ( X3 != X6 ) )
& ! [X14: a,X13: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X19: a] :
( ( X1 @ X19 @ X19 )
= X19 )
& ! [X23: a,X22: a] :
( ( X0 @ ( X1 @ X22 @ X23 ) @ X23 )
= X23 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X1: a > a > a,X0: a > a > a] :
( ? [X2: a,X4: a,X3: a,X6: a,X5: a] :
( ( X4 != X5 )
& ( X2 != X6 )
& ( X3 != X4 )
& ( X3 != X5 )
& ( X5 != X6 )
& ( X2 != X5 )
& ( X2 != X4 )
& ( X4 != X6 )
& ( X2 != X3 )
& ( X3 != X6 ) )
& ! [X16: a,X15: a,X17: a] :
( ( X0 @ X16 @ ( X0 @ X15 @ X17 ) )
= ( X0 @ ( X0 @ X16 @ X15 ) @ X17 ) )
& ! [X19: a] :
( ( X1 @ X19 @ X19 )
= X19 )
& ! [X24: a,X25: a] :
( ( X1 @ X24 @ X25 )
= ( X1 @ X25 @ X24 ) )
& ! [X18: a] :
( ( X0 @ X18 @ X18 )
= X18 )
& ! [X27: a,X26: a,X29: a,X30: a,X28: a] :
( ( ( X1 @ X26 @ X28 )
!= X26 )
| ( ( X0 @ X30 @ X27 )
!= X27 )
| ( ( X1 @ X27 @ X29 )
!= X30 )
| ( ( X1 @ X26 @ X29 )
!= X29 )
| ( ( X0 @ X26 @ X28 )
!= X28 )
| ( ( X0 @ X29 @ X28 )
!= X28 )
| ( ( X1 @ X27 @ X28 )
!= X27 )
| ( ( X0 @ X30 @ X26 )
!= X26 )
| ( ( X1 @ X30 @ X27 )
!= X30 )
| ( ( X0 @ X30 @ X29 )
!= X29 )
| ( ( X0 @ X27 @ X29 )
!= X28 )
| ( ( X1 @ X30 @ X26 )
!= X30 )
| ( ( X1 @ X26 @ X27 )
!= X30 )
| ( ( X1 @ X29 @ X28 )
!= X29 )
| ( ( X0 @ X26 @ X27 )
!= X28 )
| ( ( X0 @ X26 @ X29 )
!= X26 )
| ( ( X0 @ X30 @ X28 )
!= X28 )
| ( ( X0 @ X27 @ X28 )
!= X28 )
| ( ( X1 @ X30 @ X29 )
!= X30 )
| ( ( X1 @ X30 @ X28 )
!= X30 ) )
& ! [X20: a,X21: a] :
( ( X1 @ ( X0 @ X20 @ X21 ) @ X21 )
= X21 )
& ! [X23: a,X22: a] :
( ( X0 @ ( X1 @ X22 @ X23 ) @ X23 )
= X23 )
& ? [X8: a,X9: a,X7: a] :
( ( X1 @ X9 @ ( X0 @ X7 @ ( X1 @ X9 @ X8 ) ) )
!= ( X0 @ ( X1 @ X9 @ X7 ) @ ( X1 @ X9 @ X8 ) ) )
& ! [X14: a,X13: a] :
( ( X0 @ X13 @ X14 )
= ( X0 @ X14 @ X13 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X11 @ X10 ) @ X12 )
= ( X1 @ X11 @ ( X1 @ X10 @ X12 ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ? [X2: a,X3: a,X4: a,X5: a,X6: a] :
( ( X3 != X6 )
& ( X2 != X5 )
& ( X3 != X4 )
& ( X4 != X6 )
& ( X5 != X6 )
& ( X2 != X6 )
& ( X2 != X3 )
& ( X3 != X5 )
& ( X2 != X4 )
& ( X4 != X5 ) )
& ! [X7: a,X8: a,X9: a] :
( ( X1 @ X7 @ ( X1 @ X8 @ X9 ) )
= ( X1 @ ( X1 @ X7 @ X8 ) @ X9 ) )
& ! [X10: a] :
( ( X0 @ X10 @ X10 )
= X10 )
& ! [X11: a,X12: a] :
( ( X0 @ X12 @ X11 )
= ( X0 @ X11 @ X12 ) )
& ! [X13: a] :
( ( X1 @ X13 @ X13 )
= X13 )
& ! [X14: a,X15: a,X16: a,X17: a,X18: a] :
( ( ( X0 @ X15 @ X18 )
!= X15 )
| ( ( X1 @ X17 @ X14 )
!= X14 )
| ( ( X0 @ X14 @ X16 )
!= X17 )
| ( ( X0 @ X15 @ X16 )
!= X16 )
| ( ( X1 @ X15 @ X18 )
!= X18 )
| ( ( X1 @ X16 @ X18 )
!= X18 )
| ( ( X0 @ X14 @ X18 )
!= X14 )
| ( ( X1 @ X17 @ X15 )
!= X15 )
| ( ( X0 @ X17 @ X14 )
!= X17 )
| ( ( X1 @ X17 @ X16 )
!= X16 )
| ( ( X1 @ X14 @ X16 )
!= X18 )
| ( ( X0 @ X17 @ X15 )
!= X17 )
| ( ( X0 @ X15 @ X14 )
!= X17 )
| ( ( X0 @ X16 @ X18 )
!= X16 )
| ( ( X1 @ X15 @ X14 )
!= X18 )
| ( ( X1 @ X15 @ X16 )
!= X15 )
| ( ( X1 @ X17 @ X18 )
!= X18 )
| ( ( X1 @ X14 @ X18 )
!= X18 )
| ( ( X0 @ X17 @ X16 )
!= X17 )
| ( ( X0 @ X17 @ X18 )
!= X17 ) )
& ! [X19: a,X20: a] :
( ( X0 @ ( X1 @ X19 @ X20 ) @ X20 )
= X20 )
& ! [X21: a,X22: a] :
( ( X1 @ ( X0 @ X22 @ X21 ) @ X21 )
= X21 )
& ? [X23: a,X24: a,X25: a] :
( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X23 ) )
!= ( X0 @ X24 @ ( X1 @ X25 @ ( X0 @ X24 @ X23 ) ) ) )
& ! [X26: a,X27: a] :
( ( X1 @ X27 @ X26 )
= ( X1 @ X26 @ X27 ) )
& ! [X28: a,X29: a,X30: a] :
( ( X0 @ ( X0 @ X29 @ X28 ) @ X30 )
= ( X0 @ X29 @ ( X0 @ X28 @ X30 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( sK6 != sK3 )
& ( sK2 != sK5 )
& ( sK3 != sK4 )
& ( sK6 != sK4 )
& ( sK6 != sK5 )
& ( sK6 != sK2 )
& ( sK3 != sK2 )
& ( sK3 != sK5 )
& ( sK2 != sK4 )
& ( sK5 != sK4 )
& ! [X7: a,X8: a,X9: a] :
( ( sK1 @ X7 @ ( sK1 @ X8 @ X9 ) )
= ( sK1 @ ( sK1 @ X7 @ X8 ) @ X9 ) )
& ! [X10: a] :
( ( sK0 @ X10 @ X10 )
= X10 )
& ! [X11: a,X12: a] :
( ( sK0 @ X12 @ X11 )
= ( sK0 @ X11 @ X12 ) )
& ! [X13: a] :
( ( sK1 @ X13 @ X13 )
= X13 )
& ! [X14: a,X15: a,X16: a,X17: a,X18: a] :
( ( ( sK0 @ X15 @ X18 )
!= X15 )
| ( ( sK1 @ X17 @ X14 )
!= X14 )
| ( ( sK0 @ X14 @ X16 )
!= X17 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X15 @ X18 )
!= X18 )
| ( ( sK1 @ X16 @ X18 )
!= X18 )
| ( ( sK0 @ X14 @ X18 )
!= X14 )
| ( ( sK1 @ X17 @ X15 )
!= X15 )
| ( ( sK0 @ X17 @ X14 )
!= X17 )
| ( ( sK1 @ X17 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= X18 )
| ( ( sK0 @ X17 @ X15 )
!= X17 )
| ( ( sK0 @ X15 @ X14 )
!= X17 )
| ( ( sK0 @ X16 @ X18 )
!= X16 )
| ( ( sK1 @ X15 @ X14 )
!= X18 )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ X17 @ X18 )
!= X18 )
| ( ( sK1 @ X14 @ X18 )
!= X18 )
| ( ( sK0 @ X17 @ X16 )
!= X17 )
| ( ( sK0 @ X17 @ X18 )
!= X17 ) )
& ! [X19: a,X20: a] :
( ( sK0 @ ( sK1 @ X19 @ X20 ) @ X20 )
= X20 )
& ! [X21: a,X22: a] :
( ( sK1 @ ( sK0 @ X22 @ X21 ) @ X21 )
= X21 )
& ( ( sK1 @ ( sK0 @ sK8 @ sK9 ) @ ( sK0 @ sK8 @ sK7 ) )
!= ( sK0 @ sK8 @ ( sK1 @ sK9 @ ( sK0 @ sK8 @ sK7 ) ) ) )
& ! [X26: a,X27: a] :
( ( sK1 @ X26 @ X27 )
= ( sK1 @ X27 @ X26 ) )
& ! [X28: a,X29: a,X30: a] :
( ( sK0 @ ( sK0 @ X29 @ X28 ) @ X30 )
= ( sK0 @ X29 @ ( sK0 @ X28 @ X30 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X23,sK7),skolemize(X24,sK8),skolemize(X25,sK9)],[f6]) ).
thf(f8,plain,
! [X28: a,X29: a,X30: a] :
( ( sK0 @ ( sK0 @ X29 @ X28 ) @ X30 )
= ( sK0 @ X29 @ ( sK0 @ X28 @ X30 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X26: a,X27: a] :
( ( sK1 @ X26 @ X27 )
= ( sK1 @ X27 @ X26 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
! [X21: a,X22: a] :
( ( sK1 @ ( sK0 @ X22 @ X21 ) @ X21 )
= X21 ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
! [X19: a,X20: a] :
( ( sK0 @ ( sK1 @ X19 @ X20 ) @ X20 )
= X20 ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
! [X18: a,X16: a,X14: a,X17: a,X15: a] :
( ( ( sK0 @ X15 @ X18 )
!= X15 )
| ( ( sK1 @ X17 @ X14 )
!= X14 )
| ( ( sK0 @ X14 @ X16 )
!= X17 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X15 @ X18 )
!= X18 )
| ( ( sK1 @ X16 @ X18 )
!= X18 )
| ( ( sK0 @ X14 @ X18 )
!= X14 )
| ( ( sK1 @ X17 @ X15 )
!= X15 )
| ( ( sK0 @ X17 @ X14 )
!= X17 )
| ( ( sK1 @ X17 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= X18 )
| ( ( sK0 @ X17 @ X15 )
!= X17 )
| ( ( sK0 @ X15 @ X14 )
!= X17 )
| ( ( sK0 @ X16 @ X18 )
!= X16 )
| ( ( sK1 @ X15 @ X14 )
!= X18 )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ X17 @ X18 )
!= X18 )
| ( ( sK1 @ X14 @ X18 )
!= X18 )
| ( ( sK0 @ X17 @ X16 )
!= X17 )
| ( ( sK0 @ X17 @ X18 )
!= X17 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,plain,
! [X13: a] :
( ( sK1 @ X13 @ X13 )
= X13 ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X11: a,X12: a] :
( ( sK0 @ X12 @ X11 )
= ( sK0 @ X11 @ X12 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f16,plain,
! [X10: a] :
( ( sK0 @ X10 @ X10 )
= X10 ),
inference(cnf_transformation,[],[f7]) ).
thf(f17,plain,
! [X8: a,X9: a,X7: a] :
( ( sK1 @ X7 @ ( sK1 @ X8 @ X9 ) )
= ( sK1 @ ( sK1 @ X7 @ X8 ) @ X9 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f28,plain,
! [X18: a,X16: a,X14: a,X15: a] :
( ( ( sK0 @ X15 @ X18 )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X14 )
!= X14 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X15 @ X18 )
!= X18 )
| ( ( sK1 @ X16 @ X18 )
!= X18 )
| ( ( sK0 @ X14 @ X18 )
!= X14 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= X18 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK0 @ X16 @ X18 )
!= X16 )
| ( ( sK1 @ X15 @ X14 )
!= X18 )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X18 )
!= X18 )
| ( ( sK1 @ X14 @ X18 )
!= X18 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X18 ) ) ),
inference(equality_resolution,[],[f13]) ).
thf(f29,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ X14 @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X16 )
!= X16 )
| ( ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) )
!= X16 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ ( sK1 @ X14 @ X16 ) )
!= X14 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X14 )
!= X14 ) ),
inference(equality_resolution,[],[f28]) ).
thf(f91,plain,
! [X0: a,X1: a] :
( ( sK0 @ ( sK1 @ X0 @ X1 ) @ X0 )
= X0 ),
inference(superposition,[],[f12,f9]) ).
thf(f95,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK1 @ X1 @ X0 ) )
= X0 ),
inference(superposition,[],[f15,f12]) ).
thf(f97,plain,
! [X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X1 ) @ X0 )
= X0 ),
inference(superposition,[],[f11,f15]) ).
thf(f101,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ X1 )
= ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) ) ),
inference(superposition,[],[f8,f16]) ).
thf(f115,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ X1 )
= ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) ) ),
inference(superposition,[],[f17,f14]) ).
thf(f144,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK1 @ X0 @ X1 ) )
= X0 ),
inference(superposition,[],[f91,f15]) ).
thf(f929,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK0 @ X14 @ ( sK1 @ X14 @ X16 ) )
!= X14 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X16 )
!= X16 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) )
!= X16 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X14 )
!= X14 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) ) ),
inference(forward_subsumption_resolution,[],[f29,f115]) ).
thf(f930,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X14 )
!= X14 )
| ( ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) )
!= X16 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X16 )
!= X16 ) ),
inference(forward_subsumption_resolution,[],[f929,f144]) ).
thf(f931,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) )
!= X16 )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X16 )
!= X16 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) ) ),
inference(forward_subsumption_resolution,[],[f930,f97]) ).
thf(f932,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X16 )
!= X16 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) ) ),
inference(forward_subsumption_resolution,[],[f931,f95]) ).
thf(f933,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X15 @ X16 )
!= X15 ) ),
inference(forward_subsumption_resolution,[],[f932,f11]) ).
thf(f934,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X15 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) ) ),
inference(forward_demodulation,[],[f933,f8]) ).
thf(f935,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X16 ) ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 ) ),
inference(forward_demodulation,[],[f934,f8]) ).
thf(f936,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ ( sK0 @ X14 @ X16 ) @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) ) ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) ) ),
inference(forward_demodulation,[],[f935,f8]) ).
thf(f937,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X14 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 ) ),
inference(forward_demodulation,[],[f936,f8]) ).
thf(f938,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X14 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ X16 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 ) ),
inference(forward_demodulation,[],[f937,f16]) ).
thf(f939,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ ( sK1 @ X14 @ X16 ) ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X14 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 ) ),
inference(trivial_inequality_removal,[],[f938]) ).
thf(f940,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X14 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ X16 ) ) ),
inference(forward_demodulation,[],[f939,f95]) ).
thf(f941,plain,
! [X16: a,X14: a,X15: a] :
( ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK1 @ X14 @ X16 ) )
!= ( sK1 @ X14 @ X16 ) )
| ( ( sK0 @ X15 @ ( sK1 @ X14 @ X16 ) )
!= X15 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X16 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X14 ) ) )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ ( sK1 @ X14 @ X16 ) ) )
| ( ( sK1 @ X15 @ X16 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X15 @ X14 ) )
| ( ( sK1 @ ( sK0 @ X14 @ X16 ) @ X15 )
!= X15 )
| ( ( sK0 @ X14 @ X16 )
!= ( sK0 @ X14 @ ( sK0 @ X16 @ X15 ) ) )
| ( ( sK0 @ X15 @ X16 )
!= X16 )
| ( ( sK1 @ X14 @ X16 )
!= ( sK1 @ X15 @ X14 ) ) ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f957,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X0 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ ( sK1 @ X0 @ X0 ) )
!= X1 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X0 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ X0 ) ) ),
inference(superposition,[],[f941,f16]) ).
thf(f984,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK0 @ X1 @ ( sK1 @ X0 @ X0 ) )
!= X1 )
| ( ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X0 @ ( sK1 @ X0 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f957]) ).
thf(f1015,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ ( sK1 @ X0 @ X0 ) )
!= X1 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ X0 ) )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X0 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK0 @ X1 @ X0 )
!= X0 ) ),
inference(forward_subsumption_resolution,[],[f984,f16]) ).
thf(f1042,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X1 @ ( sK1 @ X0 @ X0 ) )
!= X1 )
| ( ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ X0 ) ) ),
inference(forward_subsumption_resolution,[],[f1015,f115]) ).
thf(f1060,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ X0 ) ) ),
inference(forward_demodulation,[],[f1042,f14]) ).
thf(f1078,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X1 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ X0 ) )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK0 @ X1 @ X0 )
!= X0 ) ),
inference(forward_demodulation,[],[f1060,f101]) ).
thf(f1098,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= ( sK1 @ X1 @ ( sK1 @ X0 @ X0 ) ) )
| ( ( sK0 @ X1 @ X0 )
!= X1 ) ),
inference(forward_demodulation,[],[f1078,f14]) ).
thf(f1115,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK0 @ X0 @ X1 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 ) ),
inference(forward_demodulation,[],[f1098,f14]) ).
thf(f1116,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X0 @ X1 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 ) ),
inference(duplicate_literal_removal,[],[f1115]) ).
thf(f1607,plain,
! [X0: a] :
( ( X0 != X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( X0 != X0 )
| ( X0 != X0 ) ),
inference(superposition,[],[f1116,f14]) ).
thf(f1628,plain,
! [X0: a] :
( ( X0 != X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 ) ),
inference(duplicate_literal_removal,[],[f1607]) ).
thf(f1629,plain,
! [X0: a] :
( ( sK0 @ X0 @ X0 )
!= X0 ),
inference(trivial_inequality_removal,[],[f1628]) ).
thf(f1642,plain,
$false,
inference(forward_subsumption_resolution,[],[f1629,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV006^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:58:11 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.22/0.33 % (3468739)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.33 % (3468747)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=3672188271: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)
% 0.22/0.33 % (3468750)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.33 % (3468750)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
% 0.22/0.33 % (3468744)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1716360581:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.33 % (3468745)lrs+10_16_si=on:nwc=1.5:random_seed=974195784:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.33 % (3468746)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2101464250:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.33 % (3468748)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3016167867:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.33 % (3468749)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=621826223:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.33 % (3468750)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=2579770275:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.33 % (3468746)Instruction limit reached!
% 0.22/0.33 % (3468746)------------------------------
% 0.22/0.33 % (3468746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468746)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468746)Termination reason: Instruction limit
% 0.22/0.33 % (3468746)Termination phase: Saturation
% 0.22/0.33 % (3468746)Time elapsed: 0.002 s
% 0.22/0.33 % (3468746)Peak memory usage: 10 MB
% 0.22/0.33 % (3468746)Instructions burned: 4 (million)
% 0.22/0.33 % (3468745)Instruction limit reached!
% 0.22/0.33 % (3468745)------------------------------
% 0.22/0.33 % (3468745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468745)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468745)Termination reason: Instruction limit
% 0.22/0.33 % (3468745)Termination phase: Saturation
% 0.22/0.33 % (3468745)Time elapsed: 0.010 s
% 0.22/0.33 % (3468745)Peak memory usage: 12 MB
% 0.22/0.33 % (3468745)Instructions burned: 18 (million)
% 0.22/0.33 % (3468748)Instruction limit reached!
% 0.22/0.33 % (3468748)------------------------------
% 0.22/0.33 % (3468748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468748)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468748)Termination reason: Instruction limit
% 0.22/0.33 % (3468748)Termination phase: Saturation
% 0.22/0.33 % (3468748)Time elapsed: 0.012 s
% 0.22/0.33 % (3468748)Peak memory usage: 12 MB
% 0.22/0.33 % (3468748)Instructions burned: 24 (million)
% 0.22/0.33 % (3468758)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4143600125:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.33 % (3468758)Instruction limit reached!
% 0.22/0.33 % (3468758)------------------------------
% 0.22/0.33 % (3468758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468758)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468758)Termination reason: Instruction limit
% 0.22/0.33 % (3468758)Termination phase: Saturation
% 0.22/0.33 % (3468758)Time elapsed: 0.002 s
% 0.22/0.33 % (3468758)Peak memory usage: 11 MB
% 0.22/0.33 % (3468758)Instructions burned: 4 (million)
% 0.22/0.33 % (3468760)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.33 % (3468759)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1360720011:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.33 % (3468760)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4024703816:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.33 % (3468759)Instruction limit reached!
% 0.22/0.33 % (3468759)------------------------------
% 0.22/0.33 % (3468759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468759)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468759)Termination reason: Instruction limit
% 0.22/0.33 % (3468759)Termination phase: Saturation
% 0.22/0.33 % (3468759)Time elapsed: 0.003 s
% 0.22/0.33 % (3468759)Peak memory usage: 11 MB
% 0.22/0.33 % (3468759)Instructions burned: 6 (million)
% 0.22/0.33 % (3468747) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3468739-3468747"...
% 0.22/0.33 % (3468760)Instruction limit reached!
% 0.22/0.33 % (3468760)------------------------------
% 0.22/0.33 % (3468760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468760)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468760)Termination reason: Instruction limit
% 0.22/0.33 % (3468760)Termination phase: Saturation
% 0.22/0.33 % (3468760)Time elapsed: 0.003 s
% 0.22/0.33 % (3468760)Peak memory usage: 11 MB
% 0.22/0.33 % (3468760)Instructions burned: 7 (million)
% 0.22/0.33 % (3468749)Instruction limit reached!
% 0.22/0.33 % (3468749)------------------------------
% 0.22/0.33 % (3468749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468749)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468749)Termination reason: Instruction limit
% 0.22/0.33 % (3468749)Termination phase: Saturation
% 0.22/0.33 % (3468749)Time elapsed: 0.037 s
% 0.22/0.33 % (3468749)Peak memory usage: 12 MB
% 0.22/0.33 % (3468749)Instructions burned: 75 (million)
% 0.22/0.33 % (3468747)...printing done.
% 0.22/0.33 % (3468747)Refutation found. Thanks to Tanya!
% 0.22/0.33 % SZS status Theorem for theBenchmark
% 0.22/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.33 % (3468747)------------------------------
% 0.22/0.33 % (3468747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (3468747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (3468747)CaDiCaL version: 2.1.3
% 0.22/0.33 % (3468747)Termination reason: Refutation
% 0.22/0.33 % (3468747)Time elapsed: 0.045 s
% 0.22/0.33 % (3468747)Peak memory usage: 13 MB
% 0.22/0.33 % (3468747)Instructions burned: 176 (million)
% 0.22/0.33 % (3468739)Success in time 0.079 s
% 0.22/0.34 % Vampire exiting
%------------------------------------------------------------------------------