%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN059^5 : 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 : n001.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 08:41:39 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 84 ( 12 unt; 0 typ; 11 def)
% Number of atoms : 683 ( 165 equ; 0 cnn)
% Maximal formula atoms : 16 ( 8 avg)
% Number of connectives : 554 ( 124 ~; 118 |; 77 &; 193 @)
% ( 10 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 60 !; 30 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cJ: $i > $o ).
thf(func_def_1,type,
cG: $i > $o ).
thf(func_def_2,type,
cH: $i > $o ).
thf(func_def_3,type,
cF: $i > $o ).
thf(func_def_7,type,
sP0: $o ).
thf(f1,conjecture,
( ( ? [X0: $i] : ( cG @ X0 )
& ? [X0: $i] : ( cF @ X0 ) )
=> ( ( ! [X0: $i,X1: $i] :
( ( ( cF @ X0 )
& ( cG @ X1 ) )
=> ( ( cH @ X0 )
& ( cJ @ X1 ) ) )
=> ! [X0: $i] :
( ( cG @ X0 )
=> ( cJ @ X0 ) ) )
& ( ( ! [X0: $i] :
( ( cG @ X0 )
=> ( cJ @ X0 ) )
& ! [X0: $i] :
( ( cF @ X0 )
=> ( cH @ X0 ) ) )
=> ! [X1: $i,X0: $i] :
( ( ( cF @ X0 )
& ( cG @ X1 ) )
=> ( ( cJ @ X1 )
& ( cH @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPELL29) ).
thf(f2,negated_conjecture,
~ ( ( ? [X0: $i] : ( cG @ X0 )
& ? [X0: $i] : ( cF @ X0 ) )
=> ( ( ! [X0: $i,X1: $i] :
( ( ( cF @ X0 )
& ( cG @ X1 ) )
=> ( ( cH @ X0 )
& ( cJ @ X1 ) ) )
=> ! [X0: $i] :
( ( cG @ X0 )
=> ( cJ @ X0 ) ) )
& ( ( ! [X0: $i] :
( ( cG @ X0 )
=> ( cJ @ X0 ) )
& ! [X0: $i] :
( ( cF @ X0 )
=> ( cH @ X0 ) ) )
=> ! [X1: $i,X0: $i] :
( ( ( cF @ X0 )
& ( cG @ X1 ) )
=> ( ( cJ @ X1 )
& ( cH @ X0 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ? [X0: $i] : ( cG @ X0 )
& ? [X1: $i] : ( cF @ X1 ) )
=> ( ( ! [X2: $i,X3: $i] :
( ( ( cF @ X2 )
& ( cG @ X3 ) )
=> ( ( cH @ X2 )
& ( cJ @ X3 ) ) )
=> ! [X4: $i] :
( ( cG @ X4 )
=> ( cJ @ X4 ) ) )
& ( ( ! [X5: $i] :
( ( cG @ X5 )
=> ( cJ @ X5 ) )
& ! [X6: $i] :
( ( cF @ X6 )
=> ( cH @ X6 ) ) )
=> ! [X7: $i,X8: $i] :
( ( ( cF @ X8 )
& ( cG @ X7 ) )
=> ( ( cJ @ X7 )
& ( cH @ X8 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ? [X0: $i] :
( ( cG @ X0 )
= $true )
& ? [X1: $i] :
( $true
= ( cF @ X1 ) ) )
=> ( ( ( ! [X5: $i] :
( ( $true
= ( cG @ X5 ) )
=> ( $true
= ( cJ @ X5 ) ) )
& ! [X6: $i] :
( ( $true
= ( cF @ X6 ) )
=> ( $true
= ( cH @ X6 ) ) ) )
=> ! [X8: $i,X7: $i] :
( ( ( $true
= ( cG @ X7 ) )
& ( $true
= ( cF @ X8 ) ) )
=> ( ( ( cJ @ X7 )
= $true )
& ( $true
= ( cH @ X8 ) ) ) ) )
& ( ! [X3: $i,X2: $i] :
( ( ( $true
= ( cG @ X3 ) )
& ( $true
= ( cF @ X2 ) ) )
=> ( ( $true
= ( cJ @ X3 ) )
& ( $true
= ( cH @ X2 ) ) ) )
=> ! [X4: $i] :
( ( $true
= ( cG @ X4 ) )
=> ( $true
= ( cJ @ X4 ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( ? [X8: $i,X7: $i] :
( ( ( $true
!= ( cH @ X8 ) )
| ( ( cJ @ X7 )
!= $true ) )
& ( $true
= ( cG @ X7 ) )
& ( $true
= ( cF @ X8 ) ) )
& ! [X5: $i] :
( ( $true
= ( cJ @ X5 ) )
| ( $true
!= ( cG @ X5 ) ) )
& ! [X6: $i] :
( ( $true
!= ( cF @ X6 ) )
| ( $true
= ( cH @ X6 ) ) ) )
| ( ? [X4: $i] :
( ( $true
!= ( cJ @ X4 ) )
& ( $true
= ( cG @ X4 ) ) )
& ! [X3: $i,X2: $i] :
( ( ( $true
= ( cJ @ X3 ) )
& ( $true
= ( cH @ X2 ) ) )
| ( $true
!= ( cG @ X3 ) )
| ( $true
!= ( cF @ X2 ) ) ) ) )
& ? [X0: $i] :
( ( cG @ X0 )
= $true )
& ? [X1: $i] :
( $true
= ( cF @ X1 ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( ? [X8: $i,X7: $i] :
( ( ( $true
!= ( cH @ X8 ) )
| ( ( cJ @ X7 )
!= $true ) )
& ( $true
= ( cG @ X7 ) )
& ( $true
= ( cF @ X8 ) ) )
& ! [X5: $i] :
( ( $true
= ( cJ @ X5 ) )
| ( $true
!= ( cG @ X5 ) ) )
& ! [X6: $i] :
( ( $true
!= ( cF @ X6 ) )
| ( $true
= ( cH @ X6 ) ) ) )
| ( ! [X3: $i,X2: $i] :
( ( $true
!= ( cG @ X3 ) )
| ( ( $true
= ( cJ @ X3 ) )
& ( $true
= ( cH @ X2 ) ) )
| ( $true
!= ( cF @ X2 ) ) )
& ? [X4: $i] :
( ( $true
!= ( cJ @ X4 ) )
& ( $true
= ( cG @ X4 ) ) ) ) )
& ? [X1: $i] :
( $true
= ( cF @ X1 ) )
& ? [X0: $i] :
( ( cG @ X0 )
= $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,definition,
( ( ? [X8: $i,X7: $i] :
( ( ( $true
!= ( cH @ X8 ) )
| ( ( cJ @ X7 )
!= $true ) )
& ( $true
= ( cG @ X7 ) )
& ( $true
= ( cF @ X8 ) ) )
& ! [X5: $i] :
( ( $true
= ( cJ @ X5 ) )
| ( $true
!= ( cG @ X5 ) ) )
& ! [X6: $i] :
( ( $true
!= ( cF @ X6 ) )
| ( $true
= ( cH @ X6 ) ) ) )
| ( sP0 != $true ) ),
introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction]) ).
thf(f8,plain,
( ( ( sP0 = $true )
| ( ! [X3: $i,X2: $i] :
( ( $true
!= ( cG @ X3 ) )
| ( ( $true
= ( cJ @ X3 ) )
& ( $true
= ( cH @ X2 ) ) )
| ( $true
!= ( cF @ X2 ) ) )
& ? [X4: $i] :
( ( $true
!= ( cJ @ X4 ) )
& ( $true
= ( cG @ X4 ) ) ) ) )
& ? [X1: $i] :
( $true
= ( cF @ X1 ) )
& ? [X0: $i] :
( ( cG @ X0 )
= $true ) ),
inference(definition_folding,[],[f6,f7]) ).
thf(f9,plain,
( ( ? [X8: $i,X7: $i] :
( ( ( $true
!= ( cH @ X8 ) )
| ( ( cJ @ X7 )
!= $true ) )
& ( $true
= ( cG @ X7 ) )
& ( $true
= ( cF @ X8 ) ) )
& ! [X5: $i] :
( ( $true
= ( cJ @ X5 ) )
| ( $true
!= ( cG @ X5 ) ) )
& ! [X6: $i] :
( ( $true
!= ( cF @ X6 ) )
| ( $true
= ( cH @ X6 ) ) ) )
| ( sP0 != $true ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f10,plain,
( ( ? [X0: $i,X1: $i] :
( ( ( ( cH @ X0 )
!= $true )
| ( ( cJ @ X1 )
!= $true ) )
& ( ( cG @ X1 )
= $true )
& ( ( cF @ X0 )
= $true ) )
& ! [X2: $i] :
( ( ( cJ @ X2 )
= $true )
| ( $true
!= ( cG @ X2 ) ) )
& ! [X3: $i] :
( ( $true
!= ( cF @ X3 ) )
| ( ( cH @ X3 )
= $true ) ) )
| ( sP0 != $true ) ),
inference(rectify,[],[f9]) ).
thf(f11,plain,
( ( ( ( $true
!= ( cH @ sK1 ) )
| ( $true
!= ( cJ @ sK2 ) ) )
& ( $true
= ( cG @ sK2 ) )
& ( $true
= ( cF @ sK1 ) )
& ! [X2: $i] :
( ( ( cJ @ X2 )
= $true )
| ( $true
!= ( cG @ X2 ) ) )
& ! [X3: $i] :
( ( $true
!= ( cF @ X3 ) )
| ( ( cH @ X3 )
= $true ) ) )
| ( sP0 != $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f10]) ).
thf(f12,plain,
( ( ( sP0 = $true )
| ( ! [X0: $i,X1: $i] :
( ( ( cG @ X0 )
!= $true )
| ( ( ( cJ @ X0 )
= $true )
& ( ( cH @ X1 )
= $true ) )
| ( $true
!= ( cF @ X1 ) ) )
& ? [X2: $i] :
( ( ( cJ @ X2 )
!= $true )
& ( $true
= ( cG @ X2 ) ) ) ) )
& ? [X3: $i] :
( $true
= ( cF @ X3 ) )
& ? [X4: $i] :
( $true
= ( cG @ X4 ) ) ),
inference(rectify,[],[f8]) ).
thf(f13,plain,
( ( ( sP0 = $true )
| ( ! [X0: $i,X1: $i] :
( ( ( cG @ X0 )
!= $true )
| ( ( ( cJ @ X0 )
= $true )
& ( ( cH @ X1 )
= $true ) )
| ( $true
!= ( cF @ X1 ) ) )
& ( ( cJ @ sK3 )
!= $true )
& ( $true
= ( cG @ sK3 ) ) ) )
& ( $true
= ( cF @ sK4 ) )
& ( $true
= ( cG @ sK5 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f12]) ).
thf(f14,plain,
! [X3: $i] :
( ( sP0 != $true )
| ( ( cH @ X3 )
= $true )
| ( $true
!= ( cF @ X3 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f15,plain,
! [X2: $i] :
( ( ( cJ @ X2 )
= $true )
| ( $true
!= ( cG @ X2 ) )
| ( sP0 != $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f16,plain,
( ( sP0 != $true )
| ( $true
= ( cF @ sK1 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f17,plain,
( ( sP0 != $true )
| ( $true
= ( cG @ sK2 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f18,plain,
( ( $true
!= ( cJ @ sK2 ) )
| ( sP0 != $true )
| ( $true
!= ( cH @ sK1 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f20,plain,
( $true
= ( cF @ sK4 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f21,plain,
( ( sP0 = $true )
| ( $true
= ( cG @ sK3 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f22,plain,
( ( ( cJ @ sK3 )
!= $true )
| ( sP0 = $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( sP0 = $true )
| ( ( cG @ X0 )
!= $true )
| ( $true
!= ( cF @ X1 ) )
| ( ( cJ @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f28,definition,
( spl6_1
<=> ( sP0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f32,definition,
( spl6_2
<=> ( $true
= ( cF @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f34,plain,
( ( $true
= ( cF @ sK1 ) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f35,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f16,f32,f28]) ).
thf(f37,definition,
( spl6_3
<=> ! [X2: $i] :
( ( ( cJ @ X2 )
= $true )
| ( $true
!= ( cG @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f38,plain,
( ! [X2: $i] :
( ( $true
!= ( cG @ X2 ) )
| ( ( cJ @ X2 )
= $true ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f39,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f15,f37,f28]) ).
thf(f41,definition,
( spl6_4
<=> ( $true
= ( cH @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
thf(f43,plain,
( ( $true
!= ( cH @ sK1 ) )
| spl6_4 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f45,definition,
( spl6_5
<=> ( $true
= ( cJ @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
thf(f47,plain,
( ( $true
!= ( cJ @ sK2 ) )
| spl6_5 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f48,plain,
( ~ spl6_1
| ~ spl6_4
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f18,f45,f41,f28]) ).
thf(f50,definition,
( spl6_6
<=> ! [X1: $i] :
( $true
!= ( cF @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
thf(f51,plain,
( ! [X1: $i] :
( $true
!= ( cF @ X1 ) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f52,plain,
( spl6_1
| spl6_6
| spl6_3 ),
inference(avatar_split_clause,[],[f24,f37,f50,f28]) ).
thf(f54,definition,
( spl6_7
<=> ( $true
= ( cG @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
thf(f56,plain,
( ( $true
= ( cG @ sK3 ) )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f54]) ).
thf(f57,plain,
( spl6_7
| spl6_1 ),
inference(avatar_split_clause,[],[f21,f28,f54]) ).
thf(f59,definition,
( spl6_8
<=> ( $true
= ( cG @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
thf(f61,plain,
( ( $true
= ( cG @ sK2 ) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f62,plain,
( spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f17,f28,f59]) ).
thf(f64,definition,
( spl6_9
<=> ! [X1: $i] :
( ( $true
!= ( cF @ X1 ) )
| ( ( cH @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
thf(f65,plain,
( ! [X1: $i] :
( ( $true
!= ( cF @ X1 ) )
| ( ( cH @ X1 )
= $true ) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f71,definition,
( spl6_11
<=> ( ( cJ @ sK3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
thf(f74,plain,
( spl6_1
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f22,f71,f28]) ).
thf(f75,plain,
( spl6_9
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f14,f28,f64]) ).
thf(f79,plain,
( ( ( cJ @ sK3 )
= $true )
| ( $true != $true )
| ~ spl6_3
| ~ spl6_7 ),
inference(constrained_superposition,[],[f38,f56]) ).
thf(f84,plain,
( ( $true != $true )
| ~ spl6_6 ),
inference(constrained_superposition,[],[f51,f20]) ).
thf(f85,plain,
( $false
| ~ spl6_6 ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f86,plain,
~ spl6_6,
inference(avatar_contradiction_clause,[],[f85]) ).
thf(f87,plain,
( ( ( cJ @ sK3 )
= $true )
| ~ spl6_3
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f89,plain,
( spl6_11
| ~ spl6_3
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f87,f54,f37,f71]) ).
thf(f90,plain,
( ( $true
= ( cH @ sK1 ) )
| ( $true != $true )
| ~ spl6_2
| ~ spl6_9 ),
inference(constrained_superposition,[],[f65,f34]) ).
thf(f91,plain,
( ( $true
= ( cH @ sK1 ) )
| ~ spl6_2
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f92,plain,
( $false
| ~ spl6_2
| spl6_4
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f91,f43]) ).
thf(f93,plain,
( ~ spl6_2
| spl6_4
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f92]) ).
thf(f96,plain,
( ( $true != $true )
| ( $true
= ( cJ @ sK2 ) )
| ~ spl6_3
| ~ spl6_8 ),
inference(constrained_superposition,[],[f38,f61]) ).
thf(f97,plain,
( ( $true
= ( cJ @ sK2 ) )
| ~ spl6_3
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f100,plain,
( $false
| ~ spl6_3
| spl6_5
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f97,f47]) ).
thf(f101,plain,
( ~ spl6_3
| spl6_5
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f100]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f35]) ).
cnf(s2,plain,
( ~ spl6_1
| spl6_3 ),
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
( ~ spl6_1
| ~ spl6_4
| ~ spl6_5 ),
inference(sat_conversion,[],[f48]) ).
cnf(s4,plain,
( spl6_1
| spl6_3
| spl6_6 ),
inference(sat_conversion,[],[f52]) ).
cnf(s5,plain,
( spl6_1
| spl6_7 ),
inference(sat_conversion,[],[f57]) ).
cnf(s6,plain,
( ~ spl6_1
| spl6_8 ),
inference(sat_conversion,[],[f62]) ).
cnf(s8,plain,
( spl6_1
| ~ spl6_11 ),
inference(sat_conversion,[],[f74]) ).
cnf(s9,plain,
( ~ spl6_1
| spl6_9 ),
inference(sat_conversion,[],[f75]) ).
cnf(s11,plain,
~ spl6_6,
inference(sat_conversion,[],[f86]) ).
cnf(s12,plain,
( ~ spl6_3
| ~ spl6_7
| spl6_11 ),
inference(sat_conversion,[],[f89]) ).
cnf(s14,plain,
( ~ spl6_2
| spl6_4
| ~ spl6_9 ),
inference(sat_conversion,[],[f93]) ).
cnf(s15,plain,
( ~ spl6_3
| spl6_5
| ~ spl6_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s16,plain,
( spl6_1
| spl6_3 ),
inference(rat,[],[s4,s11]) ).
cnf(s17,plain,
spl6_1,
inference(rat,[],[s12,s16,s5,s8]) ).
cnf(s18,plain,
spl6_9,
inference(rat,[],[s9,s17]) ).
cnf(s19,plain,
spl6_8,
inference(rat,[],[s6,s17]) ).
cnf(s20,plain,
spl6_3,
inference(rat,[],[s2,s17]) ).
cnf(s21,plain,
spl6_2,
inference(rat,[],[s1,s17]) ).
cnf(s22,plain,
spl6_5,
inference(rat,[],[s15,s19,s20]) ).
cnf(s23,plain,
spl6_4,
inference(rat,[],[s14,s18,s21]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s3,s17,s22,s23]) ).
thf(f102,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN059^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:20:36 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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
% 0.22/0.28 % (1441738)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (1441743)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2765641311:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.28 % (1441743) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1441738-1441743"...
% 0.22/0.28 % (1441743)...printing done.
% 0.22/0.28 % (1441743)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (1441743)------------------------------
% 0.22/0.28 % (1441743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (1441743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (1441743)CaDiCaL version: 2.1.3
% 0.22/0.28 % (1441743)Termination reason: Refutation
% 0.22/0.28 % (1441743)Time elapsed: 0.003 s
% 0.22/0.28 % (1441743)Peak memory usage: 13 MB
% 0.22/0.28 % (1441743)Instructions burned: 6 (million)
% 0.22/0.28 % (1441738)Success in time 0.027 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------