%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV002^5 : 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 : n004.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 08:37:26 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 102 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 790 ( 12 ~; 0 |; 67 &; 708 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 232 ( 0 ^; 217 !; 15 ?; 232 :)
% 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(f1,conjecture,
! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X4: a,X3: a,X2: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 ) )
=> ! [X3: a,X2: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cMODULAR_THM_DEF2_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X3: a,X2: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X3: a,X4: a,X2: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X4: a,X3: a,X2: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X3: a,X2: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 ) )
=> ! [X3: a,X2: 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] :
( ( ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X18: a,X16: a,X17: a] :
( ( X1 @ ( X0 @ X18 @ X17 ) @ ( X0 @ X18 @ X16 ) )
= ( X0 @ X18 @ ( X1 @ X17 @ X16 ) ) )
& ! [X23: a,X22: a] :
( ( X1 @ ( X0 @ X23 @ X22 ) @ X22 )
= X22 )
& ! [X12: a] :
( ( X1 @ X12 @ X12 )
= X12 )
& ! [X15: a,X14: a,X13: a] :
( ( X0 @ ( X1 @ X15 @ X13 ) @ ( X1 @ X15 @ X14 ) )
= ( X1 @ X15 @ ( X0 @ X13 @ X14 ) ) )
& ! [X6: a,X5: a] :
( ( X1 @ X5 @ X6 )
= ( X1 @ X6 @ X5 ) )
& ! [X8: a,X7: a] :
( ( X0 @ ( X1 @ X7 @ X8 ) @ X8 )
= X8 )
& ! [X11: a,X10: a,X9: a] :
( ( X1 @ X11 @ ( X1 @ X9 @ X10 ) )
= ( X1 @ ( X1 @ X11 @ X9 ) @ X10 ) )
& ! [X20: a,X19: a,X21: a] :
( ( X0 @ ( X0 @ X19 @ X20 ) @ X21 )
= ( X0 @ X19 @ ( X0 @ X20 @ X21 ) ) ) )
=> ! [X25: a,X24: a,X26: a] :
( ( X1 @ ( X0 @ X25 @ X24 ) @ ( X0 @ X25 @ X26 ) )
= ( X0 @ X25 @ ( X1 @ X24 @ ( X0 @ X25 @ X26 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ? [X26: a,X24: a,X25: a] :
( ( X1 @ ( X0 @ X25 @ X24 ) @ ( X0 @ X25 @ X26 ) )
!= ( X0 @ X25 @ ( X1 @ X24 @ ( X0 @ X25 @ X26 ) ) ) )
& ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X18: a,X16: a,X17: a] :
( ( X1 @ ( X0 @ X18 @ X17 ) @ ( X0 @ X18 @ X16 ) )
= ( X0 @ X18 @ ( X1 @ X17 @ X16 ) ) )
& ! [X23: a,X22: a] :
( ( X1 @ ( X0 @ X23 @ X22 ) @ X22 )
= X22 )
& ! [X12: a] :
( ( X1 @ X12 @ X12 )
= X12 )
& ! [X15: a,X14: a,X13: a] :
( ( X0 @ ( X1 @ X15 @ X13 ) @ ( X1 @ X15 @ X14 ) )
= ( X1 @ X15 @ ( X0 @ X13 @ X14 ) ) )
& ! [X6: a,X5: a] :
( ( X1 @ X5 @ X6 )
= ( X1 @ X6 @ X5 ) )
& ! [X8: a,X7: a] :
( ( X0 @ ( X1 @ X7 @ X8 ) @ X8 )
= X8 )
& ! [X11: a,X10: a,X9: a] :
( ( X1 @ X11 @ ( X1 @ X9 @ X10 ) )
= ( X1 @ ( X1 @ X11 @ X9 ) @ X10 ) )
& ! [X20: a,X19: a,X21: a] :
( ( X0 @ ( X0 @ X19 @ X20 ) @ X21 )
= ( X0 @ X19 @ ( X0 @ X20 @ X21 ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X1: a > a > a,X0: a > a > a] :
( ! [X20: a,X19: a,X21: a] :
( ( X0 @ ( X0 @ X19 @ X20 ) @ X21 )
= ( X0 @ X19 @ ( X0 @ X20 @ X21 ) ) )
& ! [X8: a,X7: a] :
( ( X0 @ ( X1 @ X7 @ X8 ) @ X8 )
= X8 )
& ! [X23: a,X22: a] :
( ( X1 @ ( X0 @ X23 @ X22 ) @ X22 )
= X22 )
& ! [X6: a,X5: a] :
( ( X1 @ X5 @ X6 )
= ( X1 @ X6 @ X5 ) )
& ? [X26: a,X24: a,X25: a] :
( ( X1 @ ( X0 @ X25 @ X24 ) @ ( X0 @ X25 @ X26 ) )
!= ( X0 @ X25 @ ( X1 @ X24 @ ( X0 @ X25 @ X26 ) ) ) )
& ! [X15: a,X14: a,X13: a] :
( ( X0 @ ( X1 @ X15 @ X13 ) @ ( X1 @ X15 @ X14 ) )
= ( X1 @ X15 @ ( X0 @ X13 @ X14 ) ) )
& ! [X11: a,X10: a,X9: a] :
( ( X1 @ X11 @ ( X1 @ X9 @ X10 ) )
= ( X1 @ ( X1 @ X11 @ X9 ) @ X10 ) )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 )
& ! [X18: a,X16: a,X17: a] :
( ( X1 @ ( X0 @ X18 @ X17 ) @ ( X0 @ X18 @ X16 ) )
= ( X0 @ X18 @ ( X1 @ X17 @ X16 ) ) )
& ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) )
& ! [X12: a] :
( ( X1 @ X12 @ X12 )
= X12 ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X3 @ X2 ) @ X4 )
= ( X1 @ X3 @ ( X1 @ X2 @ X4 ) ) )
& ! [X5: a,X6: a] :
( ( X1 @ ( X0 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X7: a,X8: a] :
( ( X0 @ ( X1 @ X7 @ X8 ) @ X8 )
= X8 )
& ! [X9: a,X10: a] :
( ( X0 @ X9 @ X10 )
= ( X0 @ X10 @ X9 ) )
& ? [X11: a,X12: a,X13: a] :
( ( X0 @ ( X1 @ X13 @ X12 ) @ ( X1 @ X13 @ X11 ) )
!= ( X1 @ X13 @ ( X0 @ X12 @ ( X1 @ X13 @ X11 ) ) ) )
& ! [X14: a,X15: a,X16: a] :
( ( X1 @ ( X0 @ X14 @ X16 ) @ ( X0 @ X14 @ X15 ) )
= ( X0 @ X14 @ ( X1 @ X16 @ X15 ) ) )
& ! [X17: a,X18: a,X19: a] :
( ( X0 @ ( X0 @ X17 @ X19 ) @ X18 )
= ( X0 @ X17 @ ( X0 @ X19 @ X18 ) ) )
& ! [X20: a] :
( ( X1 @ X20 @ X20 )
= X20 )
& ! [X21: a,X22: a,X23: a] :
( ( X1 @ X21 @ ( X0 @ X23 @ X22 ) )
= ( X0 @ ( X1 @ X21 @ X23 ) @ ( X1 @ X21 @ X22 ) ) )
& ! [X24: a,X25: a] :
( ( X1 @ X25 @ X24 )
= ( X1 @ X24 @ X25 ) )
& ! [X26: a] :
( ( X0 @ X26 @ X26 )
= X26 ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X2: a,X3: a,X4: a] :
( ( sK1 @ X3 @ ( sK1 @ X2 @ X4 ) )
= ( sK1 @ ( sK1 @ X3 @ X2 ) @ X4 ) )
& ! [X5: a,X6: a] :
( ( sK1 @ ( sK0 @ X6 @ X5 ) @ X5 )
= X5 )
& ! [X7: a,X8: a] :
( ( sK0 @ ( sK1 @ X7 @ X8 ) @ X8 )
= X8 )
& ! [X9: a,X10: a] :
( ( sK0 @ X9 @ X10 )
= ( sK0 @ X10 @ X9 ) )
& ( ( sK0 @ ( sK1 @ sK4 @ sK3 ) @ ( sK1 @ sK4 @ sK2 ) )
!= ( sK1 @ sK4 @ ( sK0 @ sK3 @ ( sK1 @ sK4 @ sK2 ) ) ) )
& ! [X14: a,X15: a,X16: a] :
( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK0 @ X14 @ X15 ) )
= ( sK0 @ X14 @ ( sK1 @ X16 @ X15 ) ) )
& ! [X17: a,X18: a,X19: a] :
( ( sK0 @ ( sK0 @ X17 @ X19 ) @ X18 )
= ( sK0 @ X17 @ ( sK0 @ X19 @ X18 ) ) )
& ! [X20: a] :
( ( sK1 @ X20 @ X20 )
= X20 )
& ! [X21: a,X22: a,X23: a] :
( ( sK0 @ ( sK1 @ X21 @ X23 ) @ ( sK1 @ X21 @ X22 ) )
= ( sK1 @ X21 @ ( sK0 @ X23 @ X22 ) ) )
& ! [X24: a,X25: a] :
( ( sK1 @ X25 @ X24 )
= ( sK1 @ X24 @ X25 ) )
& ! [X26: a] :
( ( sK0 @ X26 @ X26 )
= X26 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X11,sK2),skolemize(X12,sK3),skolemize(X13,sK4)],[f6]) ).
thf(f8,plain,
! [X26: a] :
( ( sK0 @ X26 @ X26 )
= X26 ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
! [X24: a,X25: a] :
( ( sK1 @ X25 @ X24 )
= ( sK1 @ X24 @ X25 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
! [X21: a,X22: a,X23: a] :
( ( sK0 @ ( sK1 @ X21 @ X23 ) @ ( sK1 @ X21 @ X22 ) )
= ( sK1 @ X21 @ ( sK0 @ X23 @ X22 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
! [X20: a] :
( ( sK1 @ X20 @ X20 )
= X20 ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
! [X16: a,X14: a,X15: a] :
( ( sK1 @ ( sK0 @ X14 @ X16 ) @ ( sK0 @ X14 @ X15 ) )
= ( sK0 @ X14 @ ( sK1 @ X16 @ X15 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,plain,
( ( sK0 @ ( sK1 @ sK4 @ sK3 ) @ ( sK1 @ sK4 @ sK2 ) )
!= ( sK1 @ sK4 @ ( sK0 @ sK3 @ ( sK1 @ sK4 @ sK2 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X10: a,X9: a] :
( ( sK0 @ X9 @ X10 )
= ( sK0 @ X10 @ X9 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f17,plain,
! [X6: a,X5: a] :
( ( sK1 @ ( sK0 @ X6 @ X5 ) @ X5 )
= X5 ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
! [X2: a,X3: a,X4: a] :
( ( sK1 @ X3 @ ( sK1 @ X2 @ X4 ) )
= ( sK1 @ ( sK1 @ X3 @ X2 ) @ X4 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f19,plain,
( ( sK1 @ sK4 @ ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 ) )
!= ( sK0 @ ( sK1 @ sK4 @ sK3 ) @ ( sK1 @ sK4 @ sK2 ) ) ),
inference(forward_demodulation,[],[f14,f15]) ).
thf(f21,plain,
( ( sK1 @ sK4 @ ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 ) )
!= ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ ( sK1 @ sK4 @ sK3 ) ) ),
inference(forward_demodulation,[],[f19,f15]) ).
thf(f22,plain,
( ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) )
!= ( sK1 @ sK4 @ ( sK0 @ ( sK1 @ sK4 @ sK2 ) @ sK3 ) ) ),
inference(forward_demodulation,[],[f21,f10]) ).
thf(f24,plain,
! [X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X1 ) @ X0 )
= X0 ),
inference(constrained_superposition,[],[f17,f15]) ).
thf(f30,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ X0 @ X1 ) )
= X0 ),
inference(forward_demodulation,[],[f24,f9]) ).
thf(f72,plain,
! [X0: a,X1: a] :
( ( sK1 @ X0 @ X1 )
= ( sK1 @ X0 @ ( sK1 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f18,f11]) ).
thf(f76,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ X2 )
= ( sK1 @ X0 @ ( sK1 @ ( sK0 @ X0 @ X1 ) @ X2 ) ) ),
inference(constrained_superposition,[],[f18,f30]) ).
thf(f192,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X1 @ ( sK1 @ X0 @ X2 ) )
= ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK0 @ X1 @ X2 ) ) ),
inference(constrained_superposition,[],[f13,f15]) ).
thf(f208,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ ( sK0 @ X0 @ X2 ) @ X3 ) )
= ( sK1 @ ( sK0 @ X0 @ ( sK1 @ X1 @ X2 ) ) @ X3 ) ),
inference(constrained_superposition,[],[f18,f13]) ).
thf(f284,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ ( sK1 @ X0 @ X2 ) @ ( sK1 @ X0 @ X1 ) )
= ( sK1 @ X0 @ ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f10,f72]) ).
thf(f297,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ ( sK1 @ X0 @ X2 ) ) @ ( sK0 @ ( sK1 @ X0 @ X2 ) @ X1 ) )
= ( sK1 @ X0 @ ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f284,f192]) ).
thf(f302,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X0 ) @ ( sK1 @ ( sK0 @ X0 @ X2 ) @ ( sK0 @ ( sK1 @ X0 @ X2 ) @ X1 ) ) )
= ( sK1 @ X0 @ ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f297,f208]) ).
thf(f304,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK1 @ ( sK0 @ X0 @ X2 ) @ ( sK0 @ ( sK1 @ X0 @ X2 ) @ X1 ) ) )
= ( sK1 @ X0 @ ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f302,f8]) ).
thf(f305,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ X0 @ ( sK0 @ ( sK1 @ X0 @ X2 ) @ X1 ) )
= ( sK1 @ X0 @ ( sK0 @ X2 @ ( sK1 @ X0 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f304,f76]) ).
thf(f309,plain,
( ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) )
!= ( sK1 @ sK4 @ ( sK0 @ sK2 @ ( sK1 @ sK4 @ sK3 ) ) ) ),
inference(backward_demodulation,[],[f22,f305]) ).
thf(f311,plain,
( ( sK1 @ sK4 @ ( sK0 @ sK2 @ sK3 ) )
!= ( sK1 @ sK4 @ ( sK1 @ ( sK0 @ sK4 @ sK2 ) @ ( sK0 @ sK2 @ sK3 ) ) ) ),
inference(forward_demodulation,[],[f309,f192]) ).
thf(f314,plain,
$false,
inference(forward_subsumption_resolution,[],[f311,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV002^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:57:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.23 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
% 0.19/0.29 % (1397959)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.29 % (1397969)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4173402453:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.29 % (1397966)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1292945577:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.29 % (1397967)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=3453696443: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)
% 0.19/0.29 % (1397965)lrs+10_16_si=on:nwc=1.5:random_seed=3459799204:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.29 % (1397964)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4014582109:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.29 % (1397968)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3549852330:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.29 % (1397966)Instruction limit reached!
% 0.19/0.29 % (1397966)------------------------------
% 0.19/0.29 % (1397966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1397966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1397966)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1397966)Termination reason: Instruction limit
% 0.19/0.29 % (1397966)Termination phase: Saturation
% 0.19/0.29 % (1397966)Time elapsed: 0.002 s
% 0.19/0.29 % (1397966)Peak memory usage: 12 MB
% 0.19/0.29 % (1397966)Instructions burned: 3 (million)
% 0.19/0.29 % (1397969) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1397959-1397969"...
% 0.19/0.29 % (1397969)...printing done.
% 0.19/0.29 % (1397969)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (1397969)------------------------------
% 0.19/0.29 % (1397969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1397969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1397969)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1397969)Termination reason: Refutation
% 0.19/0.29 % (1397969)Time elapsed: 0.011 s
% 0.19/0.29 % (1397969)Peak memory usage: 13 MB
% 0.19/0.29 % (1397969)Instructions burned: 38 (million)
% 0.19/0.29 % (1397959)Success in time 0.046 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------