%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n020.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 08:34:31 AM UTC 2026
% Result : Theorem 0.86s 0.41s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 289 ( 288 equ; 0 cnn)
% Maximal formula atoms : 39 ( 12 avg)
% Number of connectives : 1012 ( 76 ~; 0 |; 260 &; 670 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 14 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 181 ( 0 ^; 145 !; 36 ?; 181 :)
% 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,
! [X0: a > a > a,X1: a > a > a] :
( ( ! [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 )
& ( X2 != X3 )
& ( X7 != X3 )
& ( X7 != X2 )
& ( X6 != X3 )
& ( X6 != X2 )
& ( X6 != X7 )
& ( X5 != X3 )
& ( X5 != X2 )
& ( X5 != X7 )
& ( X5 != X6 ) )
=> ~ ! [X2: a,X3: a,X4: 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,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [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 )
& ( X2 != X3 )
& ( X7 != X3 )
& ( X7 != X2 )
& ( X6 != X3 )
& ( X6 != X2 )
& ( X6 != X7 )
& ( X5 != X3 )
& ( X5 != X2 )
& ( X5 != X7 )
& ( X5 != X6 ) )
=> ~ ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) )
=> ( ? [X18: a,X19: a,X20: a,X21: a,X22: a] :
( ( ( X0 @ X22 @ X19 )
= X22 )
& ( ( X1 @ X22 @ X19 )
= X19 )
& ( ( X0 @ X21 @ X19 )
= X21 )
& ( ( X1 @ X21 @ X19 )
= X19 )
& ( ( X0 @ X21 @ X22 )
= X18 )
& ( ( X1 @ X21 @ X22 )
= X19 )
& ( ( X0 @ X20 @ X19 )
= X20 )
& ( ( X1 @ X20 @ X19 )
= X19 )
& ( ( X0 @ X20 @ X22 )
= X22 )
& ( ( X1 @ X20 @ X22 )
= X20 )
& ( ( X0 @ X20 @ X21 )
= X18 )
& ( ( X1 @ X20 @ X21 )
= X19 )
& ( ( X0 @ X18 @ X22 )
= X18 )
& ( ( X1 @ X18 @ X22 )
= X22 )
& ( ( X0 @ X18 @ X21 )
= X18 )
& ( ( X1 @ X18 @ X21 )
= X21 )
& ( ( X0 @ X18 @ X20 )
= X18 )
& ( ( X1 @ X18 @ X20 )
= X20 )
& ( ( X0 @ X18 @ X19 )
= X18 )
& ( ( X1 @ X18 @ X19 )
= X19 )
& ( X18 != X19 )
& ( X19 != X22 )
& ( X18 != X22 )
& ( X19 != X21 )
& ( X18 != X21 )
& ( X21 != X22 )
& ( X19 != X20 )
& ( X18 != X20 )
& ( X20 != X22 )
& ( X20 != X21 ) )
=> ~ ! [X23: a,X24: a,X25: a] :
( ( X0 @ X23 @ ( X1 @ X24 @ ( X0 @ X23 @ X25 ) ) )
= ( X1 @ ( X0 @ X23 @ X24 ) @ ( X0 @ X23 @ X25 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X23: a,X24: a,X25: a] :
( ( X0 @ X23 @ ( X1 @ X24 @ ( X0 @ X23 @ X25 ) ) )
= ( X1 @ ( X0 @ X23 @ X24 ) @ ( X0 @ X23 @ X25 ) ) )
& ? [X18: a,X19: a,X20: a,X21: a,X22: a] :
( ( ( X0 @ X22 @ X19 )
= X22 )
& ( ( X1 @ X22 @ X19 )
= X19 )
& ( ( X0 @ X21 @ X19 )
= X21 )
& ( ( X1 @ X21 @ X19 )
= X19 )
& ( ( X0 @ X21 @ X22 )
= X18 )
& ( ( X1 @ X21 @ X22 )
= X19 )
& ( ( X0 @ X20 @ X19 )
= X20 )
& ( ( X1 @ X20 @ X19 )
= X19 )
& ( ( X0 @ X20 @ X22 )
= X22 )
& ( ( X1 @ X20 @ X22 )
= X20 )
& ( ( X0 @ X20 @ X21 )
= X18 )
& ( ( X1 @ X20 @ X21 )
= X19 )
& ( ( X0 @ X18 @ X22 )
= X18 )
& ( ( X1 @ X18 @ X22 )
= X22 )
& ( ( X0 @ X18 @ X21 )
= X18 )
& ( ( X1 @ X18 @ X21 )
= X21 )
& ( ( X0 @ X18 @ X20 )
= X18 )
& ( ( X1 @ X18 @ X20 )
= X20 )
& ( ( X0 @ X18 @ X19 )
= X18 )
& ( ( X1 @ X18 @ X19 )
= X19 )
& ( X18 != X19 )
& ( X19 != X22 )
& ( X18 != X22 )
& ( X19 != X21 )
& ( X18 != X21 )
& ( X21 != X22 )
& ( X19 != X20 )
& ( X18 != X20 )
& ( X20 != X22 )
& ( X20 != X21 ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X23: a,X24: a,X25: a] :
( ( X0 @ X23 @ ( X1 @ X24 @ ( X0 @ X23 @ X25 ) ) )
= ( X1 @ ( X0 @ X23 @ X24 ) @ ( X0 @ X23 @ X25 ) ) )
& ? [X18: a,X19: a,X20: a,X21: a,X22: a] :
( ( ( X0 @ X22 @ X19 )
= X22 )
& ( ( X1 @ X22 @ X19 )
= X19 )
& ( ( X0 @ X21 @ X19 )
= X21 )
& ( ( X1 @ X21 @ X19 )
= X19 )
& ( ( X0 @ X21 @ X22 )
= X18 )
& ( ( X1 @ X21 @ X22 )
= X19 )
& ( ( X0 @ X20 @ X19 )
= X20 )
& ( ( X1 @ X20 @ X19 )
= X19 )
& ( ( X0 @ X20 @ X22 )
= X22 )
& ( ( X1 @ X20 @ X22 )
= X20 )
& ( ( X0 @ X20 @ X21 )
= X18 )
& ( ( X1 @ X20 @ X21 )
= X19 )
& ( ( X0 @ X18 @ X22 )
= X18 )
& ( ( X1 @ X18 @ X22 )
= X22 )
& ( ( X0 @ X18 @ X21 )
= X18 )
& ( ( X1 @ X18 @ X21 )
= X21 )
& ( ( X0 @ X18 @ X20 )
= X18 )
& ( ( X1 @ X18 @ X20 )
= X20 )
& ( ( X0 @ X18 @ X19 )
= X18 )
& ( ( X1 @ X18 @ X19 )
= X19 )
& ( X18 != X19 )
& ( X19 != X22 )
& ( X18 != X22 )
& ( X19 != X21 )
& ( X18 != X21 )
& ( X21 != X22 )
& ( X19 != X20 )
& ( X18 != X20 )
& ( X20 != X22 )
& ( X20 != X21 ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X4: a,X5: a] :
( ( X0 @ ( X1 @ X4 @ X5 ) @ X5 )
= X5 )
& ! [X6: a,X7: a] :
( ( X1 @ X6 @ X7 )
= ( X1 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
= ( X0 @ X9 @ X8 ) )
& ! [X10: a,X11: a,X12: a] :
( ( X1 @ ( X1 @ X10 @ X11 ) @ X12 )
= ( X1 @ X10 @ ( X1 @ X11 @ X12 ) ) )
& ! [X13: a,X14: a,X15: a] :
( ( X0 @ ( X0 @ X13 @ X14 ) @ X15 )
= ( X0 @ X13 @ ( X0 @ X14 @ X15 ) ) )
& ! [X16: a] :
( ( X1 @ X16 @ X16 )
= X16 )
& ! [X17: a] :
( ( X0 @ X17 @ X17 )
= X17 ) ),
inference(flattening,[],[f4]) ).
thf(f6,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] :
( ( ( X0 @ X9 @ X6 )
= X9 )
& ( ( X1 @ X9 @ X6 )
= X6 )
& ( ( X0 @ X8 @ X6 )
= X8 )
& ( ( X1 @ X8 @ X6 )
= X6 )
& ( ( X0 @ X8 @ X9 )
= X5 )
& ( ( X1 @ X8 @ X9 )
= X6 )
& ( ( X0 @ X7 @ X6 )
= X7 )
& ( ( X1 @ X7 @ X6 )
= X6 )
& ( ( X0 @ X7 @ X9 )
= X9 )
& ( ( X1 @ X7 @ X9 )
= X7 )
& ( ( X0 @ X7 @ X8 )
= X5 )
& ( ( X1 @ X7 @ X8 )
= X6 )
& ( ( X0 @ X5 @ X9 )
= X5 )
& ( ( X1 @ X5 @ X9 )
= X9 )
& ( ( X0 @ X5 @ X8 )
= X5 )
& ( ( X1 @ X5 @ X8 )
= X8 )
& ( ( X0 @ X5 @ X7 )
= X5 )
& ( ( X1 @ X5 @ X7 )
= X7 )
& ( ( X0 @ X5 @ X6 )
= X5 )
& ( ( X1 @ X5 @ X6 )
= X6 )
& ( 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(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X2: a,X3: a,X4: a] :
( ( sK0 @ X2 @ ( sK1 @ X3 @ ( sK0 @ X2 @ X4 ) ) )
= ( sK1 @ ( sK0 @ X2 @ X3 ) @ ( sK0 @ X2 @ X4 ) ) )
& ( sK6
= ( sK0 @ sK6 @ sK3 ) )
& ( sK3
= ( sK1 @ sK6 @ sK3 ) )
& ( sK5
= ( sK0 @ sK5 @ sK3 ) )
& ( sK3
= ( sK1 @ sK5 @ sK3 ) )
& ( sK2
= ( sK0 @ sK5 @ sK6 ) )
& ( sK3
= ( sK1 @ sK5 @ sK6 ) )
& ( sK4
= ( sK0 @ sK4 @ sK3 ) )
& ( sK3
= ( sK1 @ sK4 @ sK3 ) )
& ( sK6
= ( sK0 @ sK4 @ sK6 ) )
& ( sK4
= ( sK1 @ sK4 @ sK6 ) )
& ( sK2
= ( sK0 @ sK4 @ sK5 ) )
& ( sK3
= ( sK1 @ sK4 @ sK5 ) )
& ( sK2
= ( sK0 @ sK2 @ sK6 ) )
& ( sK6
= ( sK1 @ sK2 @ sK6 ) )
& ( sK2
= ( sK0 @ sK2 @ sK5 ) )
& ( sK5
= ( sK1 @ sK2 @ sK5 ) )
& ( sK2
= ( sK0 @ sK2 @ sK4 ) )
& ( sK4
= ( sK1 @ sK2 @ sK4 ) )
& ( sK2
= ( sK0 @ sK2 @ sK3 ) )
& ( sK3
= ( sK1 @ sK2 @ sK3 ) )
& ( sK2 != sK3 )
& ( sK3 != sK6 )
& ( sK2 != sK6 )
& ( sK3 != sK5 )
& ( sK2 != sK5 )
& ( sK5 != sK6 )
& ( sK3 != sK4 )
& ( sK2 != sK4 )
& ( sK4 != sK6 )
& ( sK4 != sK5 )
& ! [X10: a,X11: a] :
( ( sK1 @ ( sK0 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( sK0 @ ( sK1 @ X12 @ X13 ) @ X13 )
= X13 )
& ! [X14: a,X15: a] :
( ( sK1 @ X14 @ X15 )
= ( sK1 @ X15 @ X14 ) )
& ! [X16: a,X17: a] :
( ( sK0 @ X16 @ X17 )
= ( sK0 @ X17 @ X16 ) )
& ! [X18: a,X19: a,X20: a] :
( ( sK1 @ ( sK1 @ X18 @ X19 ) @ X20 )
= ( sK1 @ X18 @ ( sK1 @ X19 @ X20 ) ) )
& ! [X21: a,X22: a,X23: a] :
( ( sK0 @ ( sK0 @ X21 @ X22 ) @ X23 )
= ( sK0 @ X21 @ ( sK0 @ X22 @ X23 ) ) )
& ! [X24: a] :
( ( sK1 @ X24 @ X24 )
= X24 )
& ! [X25: a] :
( ( sK0 @ X25 @ X25 )
= X25 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X5,sK2),skolemize(X6,sK3),skolemize(X7,sK4),skolemize(X8,sK5),skolemize(X9,sK6)],[f6]) ).
thf(f13,plain,
! [X14: a,X15: a] :
( ( sK1 @ X14 @ X15 )
= ( sK1 @ X15 @ X14 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f17,plain,
sK4 != sK6,
inference(cnf_transformation,[],[f7]) ).
thf(f32,plain,
( sK6
= ( sK1 @ sK2 @ sK6 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f35,plain,
( sK2
= ( sK0 @ sK4 @ sK5 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f37,plain,
( sK6
= ( sK0 @ sK4 @ sK6 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f39,plain,
( sK4
= ( sK0 @ sK4 @ sK3 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f40,plain,
( sK3
= ( sK1 @ sK5 @ sK6 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f46,plain,
! [X2: a,X3: a,X4: a] :
( ( sK0 @ X2 @ ( sK1 @ X3 @ ( sK0 @ X2 @ X4 ) ) )
= ( sK1 @ ( sK0 @ X2 @ X3 ) @ ( sK0 @ X2 @ X4 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f64,plain,
( sK3
= ( sK1 @ sK6 @ sK5 ) ),
inference(constrained_superposition,[],[f13,f40]) ).
thf(f184,plain,
! [X0: a] :
( ( sK0 @ sK4 @ ( sK1 @ X0 @ sK6 ) )
= ( sK1 @ ( sK0 @ sK4 @ X0 ) @ sK6 ) ),
inference(constrained_superposition,[],[f46,f37]) ).
thf(f2847,plain,
( ( sK1 @ sK2 @ sK6 )
= ( sK0 @ sK4 @ ( sK1 @ sK5 @ sK6 ) ) ),
inference(constrained_superposition,[],[f184,f35]) ).
thf(f2877,plain,
( ( sK1 @ sK2 @ sK6 )
= ( sK0 @ sK4 @ ( sK1 @ sK6 @ sK5 ) ) ),
inference(forward_demodulation,[],[f2847,f13]) ).
thf(f2892,plain,
( ( sK0 @ sK4 @ sK3 )
= ( sK1 @ sK2 @ sK6 ) ),
inference(forward_demodulation,[],[f2877,f64]) ).
thf(f2900,plain,
( sK6
= ( sK0 @ sK4 @ sK3 ) ),
inference(forward_demodulation,[],[f2892,f32]) ).
thf(f2903,plain,
sK4 = sK6,
inference(forward_demodulation,[],[f2900,f39]) ).
thf(f2904,plain,
$false,
inference(forward_subsumption_resolution,[],[f2903,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:58:34 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.86/0.41 % (1159737)Will run a generic schedule for satisfiability detection.
% 0.86/0.41 % (1159746)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=454009949:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.86/0.41 % (1159746)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.86/0.41 % (1159743)% WARNING: option uhcvi not known.
% 0.86/0.41 % (1159742)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2531036216_2999 on theBenchmark for (2999ds/0Mi)
% 0.86/0.41 % (1159747)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3706179736:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.41 % (1159743)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=183546074:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.86/0.41 % (1159744)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3465972392:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.86/0.41 % (1159745)dis+10_1_sil=32000:sp=arity:random_seed=650389183:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.86/0.41 % (1159748)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3050726063:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.86/0.41 % (1159743)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.86/0.41 % Exception at run slice level
% 0.86/0.41 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.86/0.41 % (1159743)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.86/0.41 % (1159756)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=510452344:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.86/0.41 % Exception at run slice level
% 0.86/0.41 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.86/0.41 % (1159746)Instruction limit reached!
% 0.86/0.41 % (1159746)------------------------------
% 0.86/0.41 % (1159746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1159746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1159746)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1159746)Termination reason: Instruction limit
% 0.86/0.41 % (1159746)Termination phase: Saturation
% 0.86/0.41 % (1159746)Time elapsed: 0.030 s
% 0.86/0.41 % (1159746)Peak memory usage: 12 MB
% 0.86/0.41 % (1159746)Instructions burned: 117 (million)
% 0.86/0.41 % (1159759)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3494031217:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.86/0.41 % (1159759)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.86/0.41 % (1159759)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.86/0.41 % (1159758)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1923382516:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.41 % (1159745)Instruction limit reached!
% 0.86/0.41 % (1159745)------------------------------
% 0.86/0.41 % (1159745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1159745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1159745)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1159745)Termination reason: Instruction limit
% 0.86/0.41 % (1159745)Termination phase: Saturation
% 0.86/0.41 % (1159745)Time elapsed: 0.049 s
% 0.86/0.41 % (1159745)Peak memory usage: 12 MB
% 0.86/0.41 % (1159745)Instructions burned: 105 (million)
% 0.86/0.41 % (1159747)Instruction limit reached!
% 0.86/0.41 % (1159747)------------------------------
% 0.86/0.41 % (1159747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1159747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1159747)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1159747)Termination reason: Instruction limit
% 0.86/0.41 % (1159747)Termination phase: Saturation
% 0.86/0.41 % (1159747)Time elapsed: 0.063 s
% 0.86/0.41 % (1159747)Peak memory usage: 12 MB
% 0.86/0.41 % (1159747)Instructions burned: 133 (million)
% 0.86/0.41 % (1159762)ott-21_1_sil=16000:fs=off:random_seed=1068295064:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.86/0.41 % (1159748)Instruction limit reached!
% 0.86/0.41 % (1159748)------------------------------
% 0.86/0.41 % (1159748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1159748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1159748)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1159748)Termination reason: Instruction limit
% 0.86/0.41 % (1159748)Termination phase: Saturation
% 0.86/0.41 % (1159748)Time elapsed: 0.074 s
% 0.86/0.41 % (1159748)Peak memory usage: 12 MB
% 0.86/0.41 % (1159748)Instructions burned: 160 (million)
% 0.86/0.41 % (1159763)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2719318475:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.86/0.41 % (1159765)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4282171237:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.86/0.41 % Exception at run slice level
% 0.86/0.41 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.86/0.41 % (1159758)Instruction limit reached!
% 0.86/0.41 % (1159758)------------------------------
% 0.86/0.41 % (1159758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1159758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1159758)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1159758)Termination reason: Instruction limit
% 0.86/0.41 % (1159758)Termination phase: Saturation
% 0.86/0.41 % (1159758)Time elapsed: 0.067 s
% 0.86/0.41 % (1159758)Peak memory usage: 12 MB
% 0.86/0.41 % (1159758)Instructions burned: 133 (million)
% 0.86/0.41 % (1159768)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2639042293:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.86/0.41 % (1159769)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2117435413:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.86/0.41 % Exception at run slice level
% 0.86/0.41 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.86/0.41 % (1159743) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1159737-1159743"...
% 0.86/0.41 % (1159743)...printing done.
% 0.86/0.41 % (1159743)Refutation found. Thanks to Tanya!
% 0.86/0.41 % SZS status Theorem for theBenchmark
% 0.86/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.41 % (1159743)------------------------------
% 0.86/0.41 % (1159743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1159743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1159743)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1159743)Termination reason: Refutation
% 0.86/0.41 % (1159743)Time elapsed: 0.140 s
% 0.86/0.41 % (1159743)Peak memory usage: 13 MB
% 0.86/0.41 % (1159743)Instructions burned: 307 (million)
% 0.86/0.41 % (1159737)Success in time 0.186 s
% 0.86/0.41 % Vampire exiting
%------------------------------------------------------------------------------