%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV006^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 08:38:51 AM UTC 2026
% Result : Theorem 0.18s 0.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 447 ( 446 equ; 0 cnn)
% Maximal formula atoms : 39 ( 15 avg)
% Number of connectives : 1907 ( 330 ~; 229 |; 187 &;1158 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 17 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 : 248 ( 0 ^; 188 !; 60 ?; 248 :)
% 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,
! [X0: a > a > a,X1: a > a > a] :
( ( ~ ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ? [X2: a,X3: a,X5: a,X6: a,X7: a] :
( ( X2 != X3 )
& ( X7 != X3 )
& ( X7 != X2 )
& ( X6 != X3 )
& ( X6 != X2 )
& ( X6 != X7 )
& ( X5 != X3 )
& ( X5 != X2 )
& ( X5 != X7 )
& ( X5 != X6 ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 ) )
=> ? [X2: a,X3: a,X5: a,X6: a,X7: a] :
( ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X2 @ X3 )
= X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPENTAGON_THM2D_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ~ ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ? [X2: a,X3: a,X5: a,X6: a,X7: a] :
( ( X2 != X3 )
& ( X7 != X3 )
& ( X7 != X2 )
& ( X6 != X3 )
& ( X6 != X2 )
& ( X6 != X7 )
& ( X5 != X3 )
& ( X5 != X2 )
& ( X5 != X7 )
& ( X5 != X6 ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 ) )
=> ? [X2: a,X3: a,X5: a,X6: a,X7: a] :
( ( ( X0 @ X7 @ X3 )
= X7 )
& ( ( X1 @ X7 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X3 )
= X6 )
& ( ( X1 @ X6 @ X3 )
= X3 )
& ( ( X0 @ X6 @ X7 )
= X2 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X0 @ X5 @ X3 )
= X5 )
& ( ( X1 @ X5 @ X3 )
= X3 )
& ( ( X0 @ X5 @ X7 )
= X7 )
& ( ( X1 @ X5 @ X7 )
= X5 )
& ( ( X0 @ X5 @ X6 )
= X2 )
& ( ( X1 @ X5 @ X6 )
= X3 )
& ( ( X0 @ X2 @ X7 )
= X2 )
& ( ( X1 @ X2 @ X7 )
= X7 )
& ( ( X0 @ X2 @ X6 )
= X2 )
& ( ( X1 @ X2 @ X6 )
= X6 )
& ( ( X0 @ X2 @ X5 )
= X2 )
& ( ( X1 @ X2 @ X5 )
= X5 )
& ( ( X0 @ X2 @ X3 )
= X2 )
& ( ( X1 @ X2 @ X3 )
= X3 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ~ ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ? [X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( X5 != X6 )
& ( X6 != X9 )
& ( X5 != X9 )
& ( X6 != X8 )
& ( X5 != X8 )
& ( X8 != X9 )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X7 != X9 )
& ( X7 != X8 ) )
& ! [X10: a,X11: a] :
( ( X1 @ ( X0 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( X0 @ ( X1 @ X12 @ X13 ) @ X13 )
= X13 )
& ! [X14: a,X15: a] :
( ( X1 @ X14 @ X15 )
= ( X1 @ X15 @ X14 ) )
& ! [X16: a,X17: a] :
( ( X0 @ X16 @ X17 )
= ( X0 @ X17 @ X16 ) )
& ! [X18: a,X19: a,X20: a] :
( ( X1 @ ( X1 @ X18 @ X19 ) @ X20 )
= ( X1 @ X18 @ ( X1 @ X19 @ X20 ) ) )
& ! [X21: a,X22: a,X23: a] :
( ( X0 @ ( X0 @ X21 @ X22 ) @ X23 )
= ( X0 @ X21 @ ( X0 @ X22 @ X23 ) ) )
& ! [X24: a] :
( ( X1 @ X24 @ X24 )
= X24 )
& ! [X25: a] :
( ( X0 @ X25 @ X25 )
= X25 ) )
=> ? [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( ( X0 @ X30 @ X27 )
= X30 )
& ( ( X1 @ X30 @ X27 )
= X27 )
& ( ( X0 @ X29 @ X27 )
= X29 )
& ( ( X1 @ X29 @ X27 )
= X27 )
& ( ( X0 @ X29 @ X30 )
= X26 )
& ( ( X1 @ X29 @ X30 )
= X27 )
& ( ( X0 @ X28 @ X27 )
= X28 )
& ( ( X1 @ X28 @ X27 )
= X27 )
& ( ( X0 @ X28 @ X30 )
= X30 )
& ( ( X1 @ X28 @ X30 )
= X28 )
& ( ( X0 @ X28 @ X29 )
= X26 )
& ( ( X1 @ X28 @ X29 )
= X27 )
& ( ( X0 @ X26 @ X30 )
= X26 )
& ( ( X1 @ X26 @ X30 )
= X30 )
& ( ( X0 @ X26 @ X29 )
= X26 )
& ( ( X1 @ X26 @ X29 )
= X29 )
& ( ( X0 @ X26 @ X28 )
= X26 )
& ( ( X1 @ X26 @ X28 )
= X28 )
& ( ( X0 @ X26 @ X27 )
= X26 )
& ( ( X1 @ X26 @ X27 )
= X27 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( ( X0 @ X30 @ X27 )
!= X30 )
| ( ( X1 @ X30 @ X27 )
!= X27 )
| ( ( X0 @ X29 @ X27 )
!= X29 )
| ( ( X1 @ X29 @ X27 )
!= X27 )
| ( ( X0 @ X29 @ X30 )
!= X26 )
| ( ( X1 @ X29 @ X30 )
!= X27 )
| ( ( X0 @ X28 @ X27 )
!= X28 )
| ( ( X1 @ X28 @ X27 )
!= X27 )
| ( ( X0 @ X28 @ X30 )
!= X30 )
| ( ( X1 @ X28 @ X30 )
!= X28 )
| ( ( X0 @ X28 @ X29 )
!= X26 )
| ( ( X1 @ X28 @ X29 )
!= X27 )
| ( ( X0 @ X26 @ X30 )
!= X26 )
| ( ( X1 @ X26 @ X30 )
!= X30 )
| ( ( X0 @ X26 @ X29 )
!= X26 )
| ( ( X1 @ X26 @ X29 )
!= X29 )
| ( ( X0 @ X26 @ X28 )
!= X26 )
| ( ( X1 @ X26 @ X28 )
!= X28 )
| ( ( X0 @ X26 @ X27 )
!= X26 )
| ( ( X1 @ X26 @ X27 )
!= X27 ) )
& ? [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
!= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ? [X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( X5 != X6 )
& ( X6 != X9 )
& ( X5 != X9 )
& ( X6 != X8 )
& ( X5 != X8 )
& ( X8 != X9 )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X7 != X9 )
& ( X7 != X8 ) )
& ! [X10: a,X11: a] :
( ( X1 @ ( X0 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( X0 @ ( X1 @ X12 @ X13 ) @ X13 )
= X13 )
& ! [X14: a,X15: a] :
( ( X1 @ X14 @ X15 )
= ( X1 @ X15 @ X14 ) )
& ! [X16: a,X17: a] :
( ( X0 @ X16 @ X17 )
= ( X0 @ X17 @ X16 ) )
& ! [X18: a,X19: a,X20: a] :
( ( X1 @ ( X1 @ X18 @ X19 ) @ X20 )
= ( X1 @ X18 @ ( X1 @ X19 @ X20 ) ) )
& ! [X21: a,X22: a,X23: a] :
( ( X0 @ ( X0 @ X21 @ X22 ) @ X23 )
= ( X0 @ X21 @ ( X0 @ X22 @ X23 ) ) )
& ! [X24: a] :
( ( X1 @ X24 @ X24 )
= X24 )
& ! [X25: a] :
( ( X0 @ X25 @ X25 )
= X25 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X26: a,X27: a,X28: a,X29: a,X30: a] :
( ( ( X0 @ X30 @ X27 )
!= X30 )
| ( ( X1 @ X30 @ X27 )
!= X27 )
| ( ( X0 @ X29 @ X27 )
!= X29 )
| ( ( X1 @ X29 @ X27 )
!= X27 )
| ( ( X0 @ X29 @ X30 )
!= X26 )
| ( ( X1 @ X29 @ X30 )
!= X27 )
| ( ( X0 @ X28 @ X27 )
!= X28 )
| ( ( X1 @ X28 @ X27 )
!= X27 )
| ( ( X0 @ X28 @ X30 )
!= X30 )
| ( ( X1 @ X28 @ X30 )
!= X28 )
| ( ( X0 @ X28 @ X29 )
!= X26 )
| ( ( X1 @ X28 @ X29 )
!= X27 )
| ( ( X0 @ X26 @ X30 )
!= X26 )
| ( ( X1 @ X26 @ X30 )
!= X30 )
| ( ( X0 @ X26 @ X29 )
!= X26 )
| ( ( X1 @ X26 @ X29 )
!= X29 )
| ( ( X0 @ X26 @ X28 )
!= X26 )
| ( ( X1 @ X26 @ X28 )
!= X28 )
| ( ( X0 @ X26 @ X27 )
!= X26 )
| ( ( X1 @ X26 @ X27 )
!= X27 ) )
& ? [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
!= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ? [X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( X5 != X6 )
& ( X6 != X9 )
& ( X5 != X9 )
& ( X6 != X8 )
& ( X5 != X8 )
& ( X8 != X9 )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X7 != X9 )
& ( X7 != X8 ) )
& ! [X10: a,X11: a] :
( ( X1 @ ( X0 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( X0 @ ( X1 @ X12 @ X13 ) @ X13 )
= X13 )
& ! [X14: a,X15: a] :
( ( X1 @ X14 @ X15 )
= ( X1 @ X15 @ X14 ) )
& ! [X16: a,X17: a] :
( ( X0 @ X16 @ X17 )
= ( X0 @ X17 @ X16 ) )
& ! [X18: a,X19: a,X20: a] :
( ( X1 @ ( X1 @ X18 @ X19 ) @ X20 )
= ( X1 @ X18 @ ( X1 @ X19 @ X20 ) ) )
& ! [X21: a,X22: a,X23: a] :
( ( X0 @ ( X0 @ X21 @ X22 ) @ X23 )
= ( X0 @ X21 @ ( X0 @ X22 @ X23 ) ) )
& ! [X24: a] :
( ( X1 @ X24 @ X24 )
= X24 )
& ! [X25: a] :
( ( X0 @ X25 @ X25 )
= X25 ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a,X5: a,X6: a] :
( ( ( X0 @ X6 @ X3 )
!= X6 )
| ( ( X1 @ X6 @ X3 )
!= X3 )
| ( ( X0 @ X5 @ X3 )
!= X5 )
| ( ( X1 @ X5 @ X3 )
!= X3 )
| ( ( X0 @ X5 @ X6 )
!= X2 )
| ( ( X1 @ X5 @ X6 )
!= X3 )
| ( ( X0 @ X4 @ X3 )
!= X4 )
| ( ( X1 @ X4 @ X3 )
!= X3 )
| ( ( X0 @ X4 @ X6 )
!= X6 )
| ( ( X1 @ X4 @ X6 )
!= X4 )
| ( ( X0 @ X4 @ X5 )
!= X2 )
| ( ( X1 @ X4 @ X5 )
!= X3 )
| ( ( X0 @ X2 @ X6 )
!= X2 )
| ( ( X1 @ X2 @ X6 )
!= X6 )
| ( ( X0 @ X2 @ X5 )
!= X2 )
| ( ( X1 @ X2 @ X5 )
!= X5 )
| ( ( X0 @ X2 @ X4 )
!= X2 )
| ( ( X1 @ X2 @ X4 )
!= X4 )
| ( ( X0 @ X2 @ X3 )
!= X2 )
| ( ( X1 @ X2 @ X3 )
!= X3 ) )
& ? [X7: a,X8: a,X9: a] :
( ( X0 @ X7 @ ( X1 @ X8 @ ( X0 @ X7 @ X9 ) ) )
!= ( X1 @ ( X0 @ X7 @ X8 ) @ ( X0 @ X7 @ X9 ) ) )
& ? [X10: a,X11: a,X12: a,X13: a,X14: a] :
( ( X10 != X11 )
& ( X11 != X14 )
& ( X10 != X14 )
& ( X11 != X13 )
& ( X10 != X13 )
& ( X13 != X14 )
& ( X11 != X12 )
& ( X10 != X12 )
& ( X12 != X14 )
& ( X12 != X13 ) )
& ! [X15: a,X16: a] :
( ( X1 @ ( X0 @ X15 @ X16 ) @ X16 )
= X16 )
& ! [X17: a,X18: a] :
( ( X0 @ ( X1 @ X17 @ X18 ) @ X18 )
= X18 )
& ! [X19: a,X20: a] :
( ( X1 @ X19 @ X20 )
= ( X1 @ X20 @ X19 ) )
& ! [X21: a,X22: a] :
( ( X0 @ X21 @ X22 )
= ( X0 @ X22 @ X21 ) )
& ! [X23: a,X24: a,X25: a] :
( ( X1 @ ( X1 @ X23 @ X24 ) @ X25 )
= ( X1 @ X23 @ ( X1 @ X24 @ X25 ) ) )
& ! [X26: a,X27: a,X28: a] :
( ( X0 @ ( X0 @ X26 @ X27 ) @ X28 )
= ( X0 @ X26 @ ( X0 @ X27 @ X28 ) ) )
& ! [X29: a] :
( ( X1 @ X29 @ X29 )
= X29 )
& ! [X30: a] :
( ( X0 @ X30 @ X30 )
= X30 ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X2: a,X3: a,X4: a,X5: a,X6: a] :
( ( ( sK0 @ X6 @ X3 )
!= X6 )
| ( ( sK1 @ X6 @ X3 )
!= X3 )
| ( ( sK0 @ X5 @ X3 )
!= X5 )
| ( ( sK1 @ X5 @ X3 )
!= X3 )
| ( ( sK0 @ X5 @ X6 )
!= X2 )
| ( ( sK1 @ X5 @ X6 )
!= X3 )
| ( ( sK0 @ X4 @ X3 )
!= X4 )
| ( ( sK1 @ X4 @ X3 )
!= X3 )
| ( ( sK0 @ X4 @ X6 )
!= X6 )
| ( ( sK1 @ X4 @ X6 )
!= X4 )
| ( ( sK0 @ X4 @ X5 )
!= X2 )
| ( ( sK1 @ X4 @ X5 )
!= X3 )
| ( ( sK0 @ X2 @ X6 )
!= X2 )
| ( ( sK1 @ X2 @ X6 )
!= X6 )
| ( ( sK0 @ X2 @ X5 )
!= X2 )
| ( ( sK1 @ X2 @ X5 )
!= X5 )
| ( ( sK0 @ X2 @ X4 )
!= X2 )
| ( ( sK1 @ X2 @ X4 )
!= X4 )
| ( ( sK0 @ X2 @ X3 )
!= X2 )
| ( ( sK1 @ X2 @ X3 )
!= X3 ) )
& ( ( sK0 @ sK2 @ ( sK1 @ sK3 @ ( sK0 @ sK2 @ sK4 ) ) )
!= ( sK1 @ ( sK0 @ sK2 @ sK3 ) @ ( sK0 @ sK2 @ sK4 ) ) )
& ( sK5 != sK6 )
& ( sK6 != sK9 )
& ( sK5 != sK9 )
& ( sK6 != sK8 )
& ( sK5 != sK8 )
& ( sK8 != sK9 )
& ( sK6 != sK7 )
& ( sK5 != sK7 )
& ( sK7 != sK9 )
& ( sK7 != sK8 )
& ! [X15: a,X16: a] :
( ( sK1 @ ( sK0 @ X15 @ X16 ) @ X16 )
= X16 )
& ! [X17: a,X18: a] :
( ( sK0 @ ( sK1 @ X17 @ X18 ) @ X18 )
= X18 )
& ! [X19: a,X20: a] :
( ( sK1 @ X19 @ X20 )
= ( sK1 @ X20 @ X19 ) )
& ! [X21: a,X22: a] :
( ( sK0 @ X21 @ X22 )
= ( sK0 @ X22 @ X21 ) )
& ! [X23: a,X24: a,X25: a] :
( ( sK1 @ ( sK1 @ X23 @ X24 ) @ X25 )
= ( sK1 @ X23 @ ( sK1 @ X24 @ X25 ) ) )
& ! [X26: a,X27: a,X28: a] :
( ( sK0 @ ( sK0 @ X26 @ X27 ) @ X28 )
= ( sK0 @ X26 @ ( sK0 @ X27 @ X28 ) ) )
& ! [X29: a] :
( ( sK1 @ X29 @ X29 )
= X29 )
& ! [X30: a] :
( ( sK0 @ X30 @ X30 )
= 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(X7,sK2),skolemize(X8,sK3),skolemize(X9,sK4),skolemize(X10,sK5),skolemize(X11,sK6),skolemize(X12,sK7),skolemize(X13,sK8),skolemize(X14,sK9)],[f6]) ).
thf(f8,plain,
! [X30: a] :
( ( sK0 @ X30 @ X30 )
= X30 ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X29: a] :
( ( sK1 @ X29 @ X29 )
= X29 ),
inference(cnf_transformation,[],[f7]) ).
thf(f27,plain,
! [X2: a,X3: a,X6: a,X4: a,X5: a] :
( ( ( sK0 @ X6 @ X3 )
!= X6 )
| ( ( sK1 @ X6 @ X3 )
!= X3 )
| ( ( sK0 @ X5 @ X3 )
!= X5 )
| ( ( sK1 @ X5 @ X3 )
!= X3 )
| ( ( sK0 @ X5 @ X6 )
!= X2 )
| ( ( sK1 @ X5 @ X6 )
!= X3 )
| ( ( sK0 @ X4 @ X3 )
!= X4 )
| ( ( sK1 @ X4 @ X3 )
!= X3 )
| ( ( sK0 @ X4 @ X6 )
!= X6 )
| ( ( sK1 @ X4 @ X6 )
!= X4 )
| ( ( sK0 @ X4 @ X5 )
!= X2 )
| ( ( sK1 @ X4 @ X5 )
!= X3 )
| ( ( sK0 @ X2 @ X6 )
!= X2 )
| ( ( sK1 @ X2 @ X6 )
!= X6 )
| ( ( sK0 @ X2 @ X5 )
!= X2 )
| ( ( sK1 @ X2 @ X5 )
!= X5 )
| ( ( sK0 @ X2 @ X4 )
!= X2 )
| ( ( sK1 @ X2 @ X4 )
!= X4 )
| ( ( sK0 @ X2 @ X3 )
!= X2 )
| ( ( sK1 @ X2 @ X3 )
!= X3 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f28,plain,
! [X3: a,X6: a,X4: a,X5: a] :
( ( ( sK0 @ X6 @ X3 )
!= X6 )
| ( ( sK1 @ X6 @ X3 )
!= X3 )
| ( ( sK0 @ X5 @ X3 )
!= X5 )
| ( ( sK1 @ X5 @ X3 )
!= X3 )
| ( ( sK1 @ X5 @ X6 )
!= X3 )
| ( ( sK0 @ X4 @ X3 )
!= X4 )
| ( ( sK1 @ X4 @ X3 )
!= X3 )
| ( ( sK0 @ X4 @ X6 )
!= X6 )
| ( ( sK1 @ X4 @ X6 )
!= X4 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ X4 @ X5 ) )
| ( ( sK1 @ X4 @ X5 )
!= X3 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X6 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X6 )
!= X6 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X5 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X5 )
!= X5 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X4 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X4 )
!= X4 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X3 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X3 )
!= X3 ) ),
inference(equality_resolution,[],[f27]) ).
thf(f29,plain,
! [X6: a,X4: a,X5: a] :
( ( ( sK1 @ X5 @ X6 )
!= ( sK1 @ ( sK0 @ X5 @ X6 ) @ ( sK1 @ X5 @ X6 ) ) )
| ( ( sK1 @ X5 @ X6 )
!= ( sK1 @ X6 @ ( sK1 @ X5 @ X6 ) ) )
| ( ( sK0 @ X5 @ ( sK1 @ X5 @ X6 ) )
!= X5 )
| ( ( sK1 @ X5 @ X6 )
!= ( sK1 @ X5 @ ( sK1 @ X5 @ X6 ) ) )
| ( ( sK0 @ X4 @ ( sK1 @ X5 @ X6 ) )
!= X4 )
| ( ( sK1 @ X5 @ X6 )
!= ( sK1 @ X4 @ ( sK1 @ X5 @ X6 ) ) )
| ( ( sK0 @ X4 @ X6 )
!= X6 )
| ( ( sK1 @ X4 @ X6 )
!= X4 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ X4 @ X5 ) )
| ( ( sK1 @ X5 @ X6 )
!= ( sK1 @ X4 @ X5 ) )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X6 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X6 )
!= X6 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X5 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X5 )
!= X5 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ X4 ) )
| ( ( sK1 @ ( sK0 @ X5 @ X6 ) @ X4 )
!= X4 )
| ( ( sK0 @ X5 @ X6 )
!= ( sK0 @ ( sK0 @ X5 @ X6 ) @ ( sK1 @ X5 @ X6 ) ) )
| ( ( sK0 @ X6 @ ( sK1 @ X5 @ X6 ) )
!= X6 ) ),
inference(equality_resolution,[],[f28]) ).
thf(f116,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ X1 @ X0 ) )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= X0 ) ),
inference(constrained_superposition,[],[f29,f9]) ).
thf(f126,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ X1 @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(duplicate_literal_removal,[],[f116]) ).
thf(f136,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ X1 @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_subsumption_resolution,[],[f126,f9]) ).
thf(f139,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ X1 @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_subsumption_resolution,[],[f136,f8]) ).
thf(f140,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ X1 @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_demodulation,[],[f139,f8]) ).
thf(f141,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ X1 @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_subsumption_resolution,[],[f140,f9]) ).
thf(f142,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_demodulation,[],[f141,f8]) ).
thf(f143,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X0 ) )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(duplicate_literal_removal,[],[f142]) ).
thf(f144,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_demodulation,[],[f143,f8]) ).
thf(f145,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X0 )
!= ( sK0 @ ( sK0 @ X0 @ X0 ) @ X1 ) )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_subsumption_resolution,[],[f144,f8]) ).
thf(f146,plain,
! [X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ ( sK0 @ X0 @ X0 ) @ X1 )
!= X1 ) ),
inference(forward_demodulation,[],[f145,f8]) ).
thf(f147,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X1 @ X0 )
!= X1 )
| ( ( sK0 @ X0 @ X1 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X0 )
| ( ( sK0 @ X1 @ X0 )
!= X1 )
| ( ( sK1 @ X1 @ X0 )
!= X0 )
| ( ( sK1 @ X0 @ X1 )
!= X1 ) ),
inference(forward_demodulation,[],[f146,f8]) ).
thf(f172,plain,
! [X0: a] :
( ( X0 != X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 )
| ( X0 != X0 )
| ( X0 != X0 ) ),
inference(constrained_superposition,[],[f147,f9]) ).
thf(f173,plain,
! [X0: a] :
( ( X0 != X0 )
| ( ( sK0 @ X0 @ X0 )
!= X0 ) ),
inference(duplicate_literal_removal,[],[f172]) ).
thf(f174,plain,
! [X0: a] :
( ( sK0 @ X0 @ X0 )
!= X0 ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f175,plain,
$false,
inference(forward_subsumption_resolution,[],[f174,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV006^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:58:04 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.30 % (2967080)Will run a generic schedule for satisfiability detection.
% 0.18/0.30 % (2967089)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2094469821:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30 % (2967089)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.18/0.30 % (2967086)% WARNING: option uhcvi not known.
% 0.18/0.30 % (2967085)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2550631199_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30 % (2967086)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2642104103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30 % (2967091)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1806081023:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30 % (2967087)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=220688156:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30 % (2967088)dis+10_1_sil=32000:sp=arity:random_seed=561897732:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30 % (2967090)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4201930729:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30 % (2967086)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.18/0.30 % Exception at run slice level
% 0.18/0.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.30 % (2967086)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.18/0.30 % (2967087) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2967080-2967087"...
% 0.18/0.30 % (2967087)...printing done.
% 0.18/0.30 % (2967087)Refutation found. Thanks to Tanya!
% 0.18/0.30 % SZS status Theorem for theBenchmark
% 0.18/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30 % (2967087)------------------------------
% 0.18/0.30 % (2967087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (2967087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (2967087)CaDiCaL version: 2.1.3
% 0.18/0.30 % (2967087)Termination reason: Refutation
% 0.18/0.30 % (2967087)Time elapsed: 0.010 s
% 0.18/0.30 % (2967087)Peak memory usage: 12 MB
% 0.18/0.30 % (2967087)Instructions burned: 20 (million)
% 0.18/0.30 % (2967080)Success in time 0.062 s
% 0.18/0.30 % Vampire exiting
%------------------------------------------------------------------------------