%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET589^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:23:18 AM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 19
% Syntax : Number of formulae : 108 ( 30 unt; 0 typ; 18 def)
% Number of atoms : 459 ( 135 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 385 ( 101 ~; 84 |; 31 &; 139 @)
% ( 10 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 17 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 62 !; 15 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: a > $o ).
thf(func_def_4,type,
sK1: a > $o ).
thf(func_def_5,type,
sK2: a > $o ).
thf(func_def_6,type,
sK3: a > $o ).
thf(func_def_7,type,
sK4: a ).
thf(func_def_8,type,
sF5: a > $o ).
thf(func_def_9,type,
sF6: a > $o ).
thf(func_def_10,type,
sF7: a > $o ).
thf(func_def_11,type,
sF8: a > $o ).
thf(func_def_12,type,
sF9: $o ).
thf(func_def_13,type,
sF10: $o ).
thf(func_def_14,type,
sF11: $o ).
thf(func_def_15,type,
sF12: $o ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ! [X4: a] :
( ( X0 @ X4 )
=> ( X1 @ X4 ) )
& ! [X4: a] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ! [X4: a] :
( ( ~ ( X3 @ X4 )
& ( X0 @ X4 ) )
=> ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_48_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ! [X4: a] :
( ( X0 @ X4 )
=> ( X1 @ X4 ) )
& ! [X4: a] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ! [X4: a] :
( ( ~ ( X3 @ X4 )
& ( X0 @ X4 ) )
=> ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ! [X4: a] :
( ( X0 @ X4 )
=> ( X1 @ X4 ) )
& ! [X5: a] :
( ( X2 @ X5 )
=> ( X3 @ X5 ) ) )
=> ! [X6: a] :
( ( ~ ( X3 @ X6 )
& ( X0 @ X6 ) )
=> ( ( X1 @ X6 )
& ~ ( X2 @ X6 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ( ( X1 @ X4 )
= $true ) )
& ! [X5: a] :
( ( $true
= ( X2 @ X5 ) )
=> ( ( X3 @ X5 )
= $true ) ) )
=> ! [X6: a] :
( ( ( ( X3 @ X6 )
!= $true )
& ( ( X0 @ X6 )
= $true ) )
=> ( ( ( X1 @ X6 )
= $true )
& ( ( X2 @ X6 )
!= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X1: a > $o,X3: a > $o,X0: a > $o,X2: a > $o] :
( ( ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ( ( X1 @ X4 )
= $true ) )
& ! [X5: a] :
( ( $true
= ( X2 @ X5 ) )
=> ( ( X3 @ X5 )
= $true ) ) )
=> ! [X6: a] :
( ( ( ( X0 @ X6 )
= $true )
& ( ( X3 @ X6 )
!= $true ) )
=> ( ( ( X1 @ X6 )
= $true )
& ( ( X2 @ X6 )
!= $true ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X1: a > $o,X3: a > $o,X0: a > $o,X2: a > $o] :
( ? [X6: a] :
( ( ( ( X1 @ X6 )
!= $true )
| ( ( X2 @ X6 )
= $true ) )
& ( ( X0 @ X6 )
= $true )
& ( ( X3 @ X6 )
!= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 )
!= $true )
| ( ( X1 @ X4 )
= $true ) )
& ! [X5: a] :
( ( ( X3 @ X5 )
= $true )
| ( $true
!= ( X2 @ X5 ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
? [X3: a > $o,X2: a > $o,X1: a > $o,X0: a > $o] :
( ! [X4: a] :
( ( ( X0 @ X4 )
!= $true )
| ( ( X1 @ X4 )
= $true ) )
& ! [X5: a] :
( ( ( X3 @ X5 )
= $true )
| ( $true
!= ( X2 @ X5 ) ) )
& ? [X6: a] :
( ( ( X0 @ X6 )
= $true )
& ( ( X3 @ X6 )
!= $true )
& ( ( ( X1 @ X6 )
!= $true )
| ( ( X2 @ X6 )
= $true ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o,X3: a > $o] :
( ! [X4: a] :
( ( ( X3 @ X4 )
!= $true )
| ( ( X2 @ X4 )
= $true ) )
& ! [X5: a] :
( ( ( X0 @ X5 )
= $true )
| ( $true
!= ( X1 @ X5 ) ) )
& ? [X6: a] :
( ( ( X3 @ X6 )
= $true )
& ( ( X0 @ X6 )
!= $true )
& ( ( ( X2 @ X6 )
!= $true )
| ( ( X1 @ X6 )
= $true ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ! [X4: a] :
( ( ( sK3 @ X4 )
!= $true )
| ( ( sK2 @ X4 )
= $true ) )
& ! [X5: a] :
( ( ( sK0 @ X5 )
= $true )
| ( ( sK1 @ X5 )
!= $true ) )
& ( ( sK3 @ sK4 )
= $true )
& ( $true
!= ( sK0 @ sK4 ) )
& ( ( ( sK2 @ sK4 )
!= $true )
| ( ( sK1 @ sK4 )
= $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X6,sK4)],[f8]) ).
thf(f10,plain,
( ( ( sK2 @ sK4 )
!= $true )
| ( ( sK1 @ sK4 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
( $true
!= ( sK0 @ sK4 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( ( sK3 @ sK4 )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
! [X5: a] :
( ( ( sK0 @ X5 )
= $true )
| ( ( sK1 @ X5 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
! [X4: a] :
( ( ( sK3 @ X4 )
!= $true )
| ( ( sK2 @ X4 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,definition,
! [X4: a] :
( ( sF5 @ X4 )
= ( sK3 @ X4 ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f18,plain,
! [X4: a] :
( ( sK3 @ X4 )
= ( sF5 @ X4 ) ),
inference(reorient_equations,[],[f17]) ).
thf(f19,definition,
! [X4: a] :
( ( sF6 @ X4 )
= ( sK2 @ X4 ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f20,plain,
! [X4: a] :
( ( ( sF6 @ X4 )
= $true )
| ( $true
!= ( sF5 @ X4 ) ) ),
inference(definition_folding,[],[f14,f19,f18]) ).
thf(f21,definition,
! [X5: a] :
( ( sF7 @ X5 )
= ( sK0 @ X5 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f22,plain,
! [X5: a] :
( ( sK0 @ X5 )
= ( sF7 @ X5 ) ),
inference(reorient_equations,[],[f21]) ).
thf(f23,definition,
! [X5: a] :
( ( sF8 @ X5 )
= ( sK1 @ X5 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f24,plain,
! [X5: a] :
( ( sK1 @ X5 )
= ( sF8 @ X5 ) ),
inference(reorient_equations,[],[f23]) ).
thf(f25,plain,
! [X5: a] :
( ( ( sF7 @ X5 )
= $true )
| ( ( sF8 @ X5 )
!= $true ) ),
inference(definition_folding,[],[f13,f24,f22]) ).
thf(f26,definition,
( sF9
= ( sK3 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
thf(f27,plain,
sF9 = $true,
inference(definition_folding,[],[f12,f26]) ).
thf(f28,definition,
( sF10
= ( sK0 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
thf(f29,plain,
sF10 != $true,
inference(definition_folding,[],[f11,f28]) ).
thf(f30,definition,
( sF11
= ( sK2 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
thf(f31,plain,
( ( sK2 @ sK4 )
= sF11 ),
inference(reorient_equations,[],[f30]) ).
thf(f32,definition,
( sF12
= ( sK1 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
thf(f33,plain,
( ( sF11 != $true )
| ( sF12 = $true ) ),
inference(definition_folding,[],[f10,f32,f31]) ).
thf(f34,plain,
! [X5: a] :
( ( $false
= ( sF7 @ X5 ) )
| ( ( sK0 @ X5 )
= $true ) ),
inference(iff_proxy_clausification,[],[f22]) ).
thf(f37,plain,
! [X4: a] :
( ( $true
= ( sF5 @ X4 ) )
| ( ( sK3 @ X4 )
= $false ) ),
inference(iff_proxy_clausification,[],[f18]) ).
thf(f39,plain,
( ( ( sK1 @ sK4 )
= $true )
| ( sF12 = $false ) ),
inference(iff_proxy_clausification,[],[f32]) ).
thf(f41,plain,
( ( ( sK3 @ sK4 )
= $true )
| ( sF9 = $false ) ),
inference(iff_proxy_clausification,[],[f26]) ).
thf(f43,plain,
( ( ( sK2 @ sK4 )
= $false )
| ( sF11 = $true ) ),
inference(iff_proxy_clausification,[],[f31]) ).
thf(f45,plain,
! [X5: a] :
( ( $false
= ( sK1 @ X5 ) )
| ( ( sF8 @ X5 )
= $true ) ),
inference(iff_proxy_clausification,[],[f24]) ).
thf(f47,plain,
! [X4: a] :
( ( $false
= ( sF6 @ X4 ) )
| ( ( sK2 @ X4 )
= $true ) ),
inference(iff_proxy_clausification,[],[f19]) ).
thf(f48,plain,
( ( $false
= ( sK0 @ sK4 ) )
| ( sF10 = $true ) ),
inference(iff_proxy_clausification,[],[f28]) ).
thf(f51,definition,
( spl13_1
<=> ( sF11 = $true ) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
thf(f55,definition,
( spl13_2
<=> ( sF12 = $true ) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
thf(f57,plain,
( ( sF12 = $true )
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f58,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f33,f55,f51]) ).
thf(f60,definition,
( spl13_3
<=> ( sF12 = $false ) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
thf(f62,plain,
( ( sF12 = $false )
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f64,definition,
( spl13_4
<=> ( ( sK1 @ sK4 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
thf(f66,plain,
( ( ( sK1 @ sK4 )
= $true )
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f67,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f39,f64,f60]) ).
thf(f74,definition,
( spl13_6
<=> ( ( sK3 @ sK4 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
thf(f76,plain,
( ( ( sK3 @ sK4 )
= $true )
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f78,definition,
( spl13_7
<=> ( sF9 = $false ) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
thf(f80,plain,
( ( sF9 = $false )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f81,plain,
( spl13_6
| spl13_7 ),
inference(avatar_split_clause,[],[f41,f78,f74]) ).
thf(f87,definition,
( spl13_9
<=> ( sF9 = $true ) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
thf(f89,plain,
( ( sF9 = $true )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f92,definition,
( spl13_10
<=> ( ( sK2 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
thf(f94,plain,
( ( ( sK2 @ sK4 )
= $false )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f95,plain,
( spl13_1
| spl13_10 ),
inference(avatar_split_clause,[],[f43,f92,f51]) ).
thf(f115,definition,
( spl13_15
<=> ( $false
= ( sK0 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
thf(f117,plain,
( ( $false
= ( sK0 @ sK4 ) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f119,definition,
( spl13_16
<=> ( sF10 = $true ) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
thf(f122,plain,
( spl13_15
| spl13_16 ),
inference(avatar_split_clause,[],[f48,f119,f115]) ).
thf(f123,plain,
spl13_9,
inference(avatar_split_clause,[],[f27,f87]) ).
thf(f124,plain,
~ spl13_16,
inference(avatar_split_clause,[],[f29,f119]) ).
thf(f125,plain,
( ( $false = $true )
| ~ spl13_2
| ~ spl13_3 ),
inference(forward_demodulation,[],[f62,f57]) ).
thf(f126,plain,
( $false
| ~ spl13_2
| ~ spl13_3 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f127,plain,
( ~ spl13_2
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f126]) ).
thf(f163,plain,
! [X0: a] :
( ( ( sK0 @ X0 )
= $true )
| ( ( sF8 @ X0 )
!= $true )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f34,f25]) ).
thf(f166,plain,
! [X0: a] :
( ( ( sK0 @ X0 )
= $true )
| ( ( sF8 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f169,plain,
( ( $false = $true )
| ( ( sF8 @ sK4 )
!= $true )
| ~ spl13_15 ),
inference(constrained_superposition,[],[f166,f117]) ).
thf(f171,plain,
( ( ( sF8 @ sK4 )
!= $true )
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f195,plain,
! [X0: a] :
( ( ( sK2 @ X0 )
= $true )
| ( $false = $true )
| ( ( sF5 @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f47,f20]) ).
thf(f199,plain,
! [X0: a] :
( ( ( sK2 @ X0 )
= $true )
| ( ( sF5 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f204,plain,
( ( ( sF5 @ sK4 )
!= $true )
| ( $false = $true )
| ~ spl13_10 ),
inference(constrained_superposition,[],[f94,f199]) ).
thf(f206,plain,
( ( ( sF5 @ sK4 )
!= $true )
| ~ spl13_10 ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f209,plain,
( ( ( sK3 @ sK4 )
= $false )
| ( $true != $true )
| ~ spl13_10 ),
inference(constrained_superposition,[],[f206,f37]) ).
thf(f213,plain,
( ( ( sK3 @ sK4 )
= $false )
| ~ spl13_10 ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f214,plain,
( ( $false = $true )
| ~ spl13_6
| ~ spl13_10 ),
inference(forward_demodulation,[],[f213,f76]) ).
thf(f215,plain,
( $false
| ~ spl13_6
| ~ spl13_10 ),
inference(trivial_inequality_removal,[],[f214]) ).
thf(f216,plain,
( ~ spl13_6
| ~ spl13_10 ),
inference(avatar_contradiction_clause,[],[f215]) ).
thf(f225,plain,
( ( $false = $true )
| ( ( sF8 @ sK4 )
= $true )
| ~ spl13_4 ),
inference(constrained_superposition,[],[f66,f45]) ).
thf(f228,plain,
( ( ( sF8 @ sK4 )
= $true )
| ~ spl13_4 ),
inference(trivial_inequality_removal,[],[f225]) ).
thf(f231,plain,
( $false
| ~ spl13_4
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f228,f171]) ).
thf(f232,plain,
( ~ spl13_4
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f231]) ).
thf(f233,plain,
( ( $false = $true )
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_demodulation,[],[f80,f89]) ).
thf(f234,plain,
( $false
| ~ spl13_7
| ~ spl13_9 ),
inference(trivial_inequality_removal,[],[f233]) ).
thf(f235,plain,
( ~ spl13_7
| ~ spl13_9 ),
inference(avatar_contradiction_clause,[],[f234]) ).
cnf(s1,plain,
( ~ spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f58]) ).
cnf(s2,plain,
( spl13_3
| spl13_4 ),
inference(sat_conversion,[],[f67]) ).
cnf(s4,plain,
( spl13_6
| spl13_7 ),
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
( spl13_1
| spl13_10 ),
inference(sat_conversion,[],[f95]) ).
cnf(s9,plain,
( spl13_15
| spl13_16 ),
inference(sat_conversion,[],[f122]) ).
cnf(s10,plain,
spl13_9,
inference(sat_conversion,[],[f123]) ).
cnf(s11,plain,
~ spl13_16,
inference(sat_conversion,[],[f124]) ).
cnf(s12,plain,
( ~ spl13_2
| ~ spl13_3 ),
inference(sat_conversion,[],[f127]) ).
cnf(s16,plain,
( ~ spl13_6
| ~ spl13_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s20,plain,
( ~ spl13_4
| ~ spl13_15 ),
inference(sat_conversion,[],[f232]) ).
cnf(s21,plain,
( ~ spl13_7
| ~ spl13_9 ),
inference(sat_conversion,[],[f235]) ).
cnf(s22,plain,
~ spl13_7,
inference(rat,[],[s21,s10]) ).
cnf(s23,plain,
spl13_15,
inference(rat,[],[s9,s11]) ).
cnf(s24,plain,
~ spl13_4,
inference(rat,[],[s20,s23]) ).
cnf(s25,plain,
spl13_6,
inference(rat,[],[s4,s22]) ).
cnf(s26,plain,
~ spl13_10,
inference(rat,[],[s16,s25]) ).
cnf(s28,plain,
spl13_1,
inference(rat,[],[s6,s26]) ).
cnf(s31,plain,
spl13_3,
inference(rat,[],[s2,s24]) ).
cnf(s32,plain,
~ spl13_2,
inference(rat,[],[s12,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s32,s28]) ).
thf(f236,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET589^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n018.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 13:40:26 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.26 % (77165)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.11/0.26 % (77179)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.11/0.26 % (77179)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
% 0.11/0.26 % (77179)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=676245895:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.11/0.26 % (77179) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-77165-77179"...
% 0.11/0.26 % (77179)...printing done.
% 0.11/0.26 % (77179)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Theorem for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (77179)------------------------------
% 0.11/0.26 % (77179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (77179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (77179)CaDiCaL version: 2.1.3
% 0.11/0.26 % (77179)Termination reason: Refutation
% 0.11/0.26 % (77179)Time elapsed: 0.004 s
% 0.11/0.26 % (77179)Peak memory usage: 13 MB
% 0.11/0.26 % (77179)Instructions burned: 9 (million)
% 0.11/0.26 % (77165)Success in time 0.035 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------