%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU998^5 : 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 : n006.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 0.19s 0.35s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 26 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 292 ( 291 equ; 0 cnn)
% Maximal formula atoms : 39 ( 11 avg)
% Number of connectives : 1008 ( 76 ~; 0 |; 260 &; 666 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 13 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 : 188 ( 0 ^; 152 !; 36 ?; 188 :)
% 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 )
= X2 )
& ( ( X1 @ X5 @ X7 )
= X3 )
& ( ( 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] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_DIAMOND_THM_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 )
= X2 )
& ( ( X1 @ X5 @ X7 )
= X3 )
& ( ( 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] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ 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 )
= X18 )
& ( ( X1 @ X20 @ X22 )
= X19 )
& ( ( 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] :
( ( X1 @ X23 @ ( X0 @ X24 @ X25 ) )
= ( X0 @ ( X1 @ X23 @ X24 ) @ ( X1 @ X23 @ X25 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X23: a,X24: a,X25: a] :
( ( X1 @ X23 @ ( X0 @ X24 @ X25 ) )
= ( X0 @ ( X1 @ X23 @ X24 ) @ ( X1 @ 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 )
= X18 )
& ( ( X1 @ X20 @ X22 )
= X19 )
& ( ( 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] :
( ( X1 @ X23 @ ( X0 @ X24 @ X25 ) )
= ( X0 @ ( X1 @ X23 @ X24 ) @ ( X1 @ 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 )
= X18 )
& ( ( X1 @ X20 @ X22 )
= X19 )
& ( ( 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] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ 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 )
= X5 )
& ( ( X1 @ X7 @ X9 )
= X6 )
& ( ( 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] :
( ( sK1 @ X2 @ ( sK0 @ X3 @ X4 ) )
= ( sK0 @ ( sK1 @ X2 @ X3 ) @ ( sK1 @ 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 ) )
& ( sK2
= ( sK0 @ sK4 @ sK6 ) )
& ( sK3
= ( 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(f8,plain,
! [X25: a] :
( ( sK0 @ X25 @ X25 )
= X25 ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
! [X16: a,X17: a] :
( ( sK0 @ X16 @ X17 )
= ( sK0 @ X17 @ X16 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
! [X14: a,X15: a] :
( ( sK1 @ X14 @ X15 )
= ( sK1 @ X15 @ X14 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X10: a,X11: a] :
( ( sK1 @ ( sK0 @ X10 @ X11 ) @ X11 )
= X11 ),
inference(cnf_transformation,[],[f7]) ).
thf(f19,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f7]) ).
thf(f29,plain,
( sK2
= ( sK0 @ sK2 @ sK4 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f34,plain,
( sK3
= ( sK1 @ sK4 @ sK5 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f36,plain,
( sK3
= ( sK1 @ sK4 @ sK6 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f41,plain,
( sK2
= ( sK0 @ sK5 @ sK6 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f46,plain,
! [X2: a,X3: a,X4: a] :
( ( sK1 @ X2 @ ( sK0 @ X3 @ X4 ) )
= ( sK0 @ ( sK1 @ X2 @ X3 ) @ ( sK1 @ X2 @ X4 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f103,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ X1 @ X0 ) )
= X0 ),
inference(constrained_superposition,[],[f15,f13]) ).
thf(f170,plain,
! [X0: a] :
( ( sK1 @ sK4 @ ( sK0 @ X0 @ sK5 ) )
= ( sK0 @ ( sK1 @ sK4 @ X0 ) @ sK3 ) ),
inference(constrained_superposition,[],[f46,f34]) ).
thf(f330,plain,
( sK4
= ( sK1 @ sK4 @ sK2 ) ),
inference(constrained_superposition,[],[f103,f29]) ).
thf(f3281,plain,
( ( sK0 @ sK3 @ sK3 )
= ( sK1 @ sK4 @ ( sK0 @ sK6 @ sK5 ) ) ),
inference(constrained_superposition,[],[f170,f36]) ).
thf(f3308,plain,
( ( sK0 @ sK3 @ sK3 )
= ( sK1 @ sK4 @ ( sK0 @ sK5 @ sK6 ) ) ),
inference(forward_demodulation,[],[f3281,f12]) ).
thf(f3324,plain,
( ( sK1 @ sK4 @ sK2 )
= ( sK0 @ sK3 @ sK3 ) ),
inference(forward_demodulation,[],[f3308,f41]) ).
thf(f3335,plain,
( sK3
= ( sK1 @ sK4 @ sK2 ) ),
inference(forward_demodulation,[],[f3324,f8]) ).
thf(f3365,plain,
sK3 = sK4,
inference(constrained_superposition,[],[f330,f3335]) ).
thf(f3366,plain,
$false,
inference(forward_subsumption_resolution,[],[f3365,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU998^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.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 14:57:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.35 % (832635)Will run a generic schedule for satisfiability detection.
% 0.19/0.35 % (832641)% WARNING: option uhcvi not known.
% 0.19/0.35 % (832641)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2960409667:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.35 % (832641)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.35 % (832641)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.35 % (832643)dis+10_1_sil=32000:sp=arity:random_seed=912042464:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.35 % (832640)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1995357489_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.35 % (832642)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=769887858:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.35 % (832644)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1686533732:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.35 % (832644)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.35 % Exception at run slice level
% 0.19/0.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.35 % (832646)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=418783542:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.35 % (832645)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2494770616:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.35 % (832652)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2626033578:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.35 % Exception at run slice level
% 0.19/0.35 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.35 % (832656)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3374115733:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.35 % (832643)Instruction limit reached!
% 0.19/0.35 % (832643)------------------------------
% 0.19/0.35 % (832643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (832643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (832643)CaDiCaL version: 2.1.3
% 0.19/0.35 % (832643)Termination reason: Instruction limit
% 0.19/0.35 % (832643)Termination phase: Saturation
% 0.19/0.35 % (832643)Time elapsed: 0.049 s
% 0.19/0.35 % (832643)Peak memory usage: 12 MB
% 0.19/0.35 % (832643)Instructions burned: 103 (million)
% 0.19/0.35 % (832644)Instruction limit reached!
% 0.19/0.35 % (832644)------------------------------
% 0.19/0.35 % (832644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (832644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (832644)CaDiCaL version: 2.1.3
% 0.19/0.35 % (832644)Termination reason: Instruction limit
% 0.19/0.35 % (832644)Termination phase: Saturation
% 0.19/0.35 % (832644)Time elapsed: 0.055 s
% 0.19/0.35 % (832644)Peak memory usage: 12 MB
% 0.19/0.35 % (832644)Instructions burned: 116 (million)
% 0.19/0.35 % (832658)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=2603715375:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.19/0.35 % (832658)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.35 % (832658)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.35 % (832645)Instruction limit reached!
% 0.19/0.35 % (832645)------------------------------
% 0.19/0.35 % (832645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (832645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (832645)CaDiCaL version: 2.1.3
% 0.19/0.35 % (832645)Termination reason: Instruction limit
% 0.19/0.35 % (832645)Termination phase: Saturation
% 0.19/0.35 % (832645)Time elapsed: 0.062 s
% 0.19/0.35 % (832645)Peak memory usage: 12 MB
% 0.19/0.35 % (832645)Instructions burned: 132 (million)
% 0.19/0.35 % (832659)ott-21_1_sil=16000:fs=off:random_seed=3425503815:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/0.35 % (832641) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-832635-832641"...
% 0.19/0.35 % (832641)...printing done.
% 0.19/0.35 % (832641)Refutation found. Thanks to Tanya!
% 0.19/0.35 % SZS status Theorem for theBenchmark
% 0.19/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.35 % (832641)------------------------------
% 0.19/0.35 % (832641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (832641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (832641)CaDiCaL version: 2.1.3
% 0.19/0.35 % (832641)Termination reason: Refutation
% 0.19/0.35 % (832641)Time elapsed: 0.089 s
% 0.19/0.35 % (832641)Peak memory usage: 13 MB
% 0.19/0.35 % (832641)Instructions burned: 367 (million)
% 0.19/0.35 % (832635)Success in time 0.12 s
% 0.19/0.35 % Vampire exiting
%------------------------------------------------------------------------------