%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU855^5 : 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 : n012.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 08:31:48 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 8 unt; 0 typ; 4 def)
% Number of atoms : 463 ( 139 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 541 ( 112 ~; 112 |; 81 &; 205 @)
% ( 9 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 127 ( 25 sgn 59 !; 18 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
vAND: $o > $o > $o ).
thf(func_def_4,type,
vNOT: $o > $o ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_7,type,
sK0: a > $o ).
thf(func_def_8,type,
sK1: a > $o ).
thf(func_def_9,type,
sK2: a > $o ).
thf(func_def_10,type,
sK3: a ).
thf(func_def_12,type,
sK5: a ).
thf(f1,conjecture,
! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X2 @ X3 ) )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) ) )
=> ( ( ( ^ [X3: a] :
( ( X0 @ X3 )
& ( X2 @ X3 )
& ~ ( X1 @ X3 ) ) )
= ( ^ [X3: a] : $false ) )
<=> ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM33_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X2 @ X3 ) )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) ) )
=> ( ( ( ^ [X3: a] :
( ( X0 @ X3 )
& ( X2 @ X3 )
& ~ ( X1 @ X3 ) ) )
= ( ^ [X3: a] : $false ) )
<=> ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) )
& ! [X4: a] :
( ( X2 @ X4 )
=> ( X1 @ X4 ) ) )
=> ( ( ( ^ [X5: a] :
( ( X0 @ X5 )
& ( X1 @ X5 )
& ~ ( X2 @ X5 ) ) )
= ( ^ [X6: a] : $false ) )
<=> ! [X7: a] :
( ( X0 @ X7 )
=> ( X2 @ X7 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X4: a] :
( ( $true
= ( X2 @ X4 ) )
=> ( $true
= ( X1 @ X4 ) ) )
& ! [X3: a] :
( ( ( X0 @ X3 )
= $true )
=> ( ( X1 @ X3 )
= $true ) ) )
=> ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
<=> ! [X7: a] :
( ( $true
= ( X0 @ X7 ) )
=> ( $true
= ( X2 @ X7 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ! [X4: a] :
( ( $true
= ( X2 @ X4 ) )
=> ( $true
= ( X1 @ X4 ) ) )
& ! [X3: a] :
( ( ( X0 @ X3 )
= $true )
=> ( ( X1 @ X3 )
= $true ) ) )
=> ( ! [X5: a] :
( ( $true
= ( X0 @ X5 ) )
=> ( $true
= ( X2 @ X5 ) ) )
<=> ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
? [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ! [X5: a] :
( ( $true
!= ( X0 @ X5 ) )
| ( $true
= ( X2 @ X5 ) ) )
<~> ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) )
& ! [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
| ( $true
= ( X1 @ X4 ) ) )
& ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
? [X1: a > $o,X0: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
| ( $true
= ( X1 @ X4 ) ) )
& ( ! [X5: a] :
( ( $true
!= ( X0 @ X5 ) )
| ( $true
= ( X2 @ X5 ) ) )
<~> ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X1: a > $o,X0: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
| ( $true
= ( X1 @ X4 ) ) )
& ( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ? [X5: a] :
( ( $true
= ( X0 @ X5 ) )
& ( $true
!= ( X2 @ X5 ) ) ) )
& ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ! [X5: a] :
( ( $true
!= ( X0 @ X5 ) )
| ( $true
= ( X2 @ X5 ) ) ) ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f9,plain,
? [X1: a > $o,X0: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
| ( $true
= ( X1 @ X4 ) ) )
& ( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ? [X5: a] :
( ( $true
= ( X0 @ X5 ) )
& ( $true
!= ( X2 @ X5 ) ) ) )
& ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ! [X5: a] :
( ( $true
!= ( X0 @ X5 ) )
| ( $true
= ( X2 @ X5 ) ) ) ) ),
inference(flattening,[],[f8]) ).
thf(f10,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( ( X0 @ X3 )
= $true )
| ( ( X1 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( $true
!= ( X2 @ X4 ) )
| ( $true
= ( X0 @ X4 ) ) )
& ( ( ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X0 @ Y0 )
& ( X1 @ Y0 ) ) )
!= ( ^ [Y0: a] : $false ) )
| ? [X5: a] :
( ( ( X1 @ X5 )
= $true )
& ( $true
!= ( X2 @ X5 ) ) ) )
& ( ( ( ^ [Y0: a] :
( ~ ( X2 @ Y0 )
& ( X0 @ Y0 )
& ( X1 @ Y0 ) ) )
= ( ^ [Y0: a] : $false ) )
| ! [X6: a] :
( ( $true
!= ( X1 @ X6 ) )
| ( $true
= ( X2 @ X6 ) ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f11,plain,
( ! [X3: a] :
( ( ( sK0 @ X3 )
= $true )
| ( $true
!= ( sK1 @ X3 ) ) )
& ! [X4: a] :
( ( $true
!= ( sK2 @ X4 ) )
| ( $true
= ( sK0 @ X4 ) ) )
& ( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
| ( ( $true
= ( sK1 @ sK3 ) )
& ( $true
!= ( sK2 @ sK3 ) ) ) )
& ( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
| ! [X6: a] :
( ( $true
!= ( sK1 @ X6 ) )
| ( $true
= ( sK2 @ X6 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X5,sK3)],[f10]) ).
thf(f12,plain,
! [X6: a] :
( ( $true
!= ( sK1 @ X6 ) )
| ( $true
= ( sK2 @ X6 ) )
| ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f13,plain,
( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
| ( $true
!= ( sK2 @ sK3 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f14,plain,
( ( $true
= ( sK1 @ sK3 ) )
| ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f16,plain,
! [X3: a] :
( ( $true
!= ( sK1 @ X3 ) )
| ( ( sK0 @ X3 )
= $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f20,definition,
( spl4_1
<=> ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f21,plain,
( ( ( ^ [Y0: a] : $false )
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f20]) ).
thf(f22,plain,
( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) ) ) )
| spl4_1 ),
inference(avatar_component_clause,[],[f20]) ).
thf(f24,definition,
( spl4_2
<=> ( $true
= ( sK2 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f26,plain,
( ( $true
!= ( sK2 @ sK3 ) )
| spl4_2 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f27,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f13,f24,f20]) ).
thf(f29,definition,
( spl4_3
<=> ( $true
= ( sK1 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f31,plain,
( ( $true
= ( sK1 @ sK3 ) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f29]) ).
thf(f32,plain,
( ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f14,f29,f20]) ).
thf(f34,definition,
( spl4_4
<=> ! [X6: a] :
( ( $true
!= ( sK1 @ X6 ) )
| ( $true
= ( sK2 @ X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f35,plain,
( ! [X6: a] :
( ( $true
!= ( sK1 @ X6 ) )
| ( $true
= ( sK2 @ X6 ) ) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f36,plain,
( spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f12,f20,f34]) ).
thf(f37,plain,
( ( ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) )
@ sK5 )
!= ( ^ [Y0: a] : $false
@ sK5 ) )
| spl4_1 ),
inference(negative_extensionality,[],[f22]) ).
thf(f38,plain,
( ( $true
= ( ^ [Y0: a] : $false
@ sK5 ) )
| ( $true
= ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) )
@ sK5 ) )
| spl4_1 ),
inference(xor_proxy_clausification,[],[f37]) ).
thf(f44,plain,
( ( $true
= ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 )
& ( sK1 @ sK5 ) ) )
| ( $true = $false )
| spl4_1 ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f45,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( $true = $false )
| spl4_1 ),
inference(and_proxy_clausification,[],[f44]) ).
thf(f46,plain,
( ( $true
= ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
| ( $true = $false )
| spl4_1 ),
inference(and_proxy_clausification,[],[f44]) ).
thf(f48,plain,
( ( $true = $false )
| ( $true
= ( ~ ( sK2 @ sK5 ) ) )
| spl4_1 ),
inference(and_proxy_clausification,[],[f46]) ).
thf(f49,plain,
( ( $true = $false )
| ( ( sK2 @ sK5 )
= $false )
| spl4_1 ),
inference(not_proxy_clausification,[],[f48]) ).
thf(f50,plain,
( ( ( sK2 @ sK5 )
= $false )
| spl4_1 ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f52,plain,
( ( $true
= ( sK1 @ sK5 ) )
| spl4_1 ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f53,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true != $true )
| spl4_1
| ~ spl4_4 ),
inference(constrained_superposition,[],[f35,f52]) ).
thf(f56,plain,
( ( $true
= ( sK2 @ sK5 ) )
| spl4_1
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f57,plain,
( ( $true = $false )
| spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f56,f50]) ).
thf(f58,plain,
( $false
| spl4_1
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f59,plain,
( spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f58]) ).
thf(f60,plain,
( ( $true
= ( sK0 @ sK3 ) )
| ( $true != $true )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f16,f31]) ).
thf(f61,plain,
( ( $true
= ( sK0 @ sK3 ) )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f62,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) )
@ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f21]) ).
thf(f64,plain,
( ! [X1: a] :
( ( $true
= ( ^ [Y0: a] : $false
@ X1 ) )
| ( ( ^ [Y0: a] :
( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 )
& ( sK1 @ Y0 ) )
@ X1 )
= $false ) )
| ~ spl4_1 ),
inference(iff_proxy_clausification,[],[f62]) ).
thf(f65,plain,
( ! [X1: a] :
( ( $false
= ( ~ ( sK2 @ X1 )
& ( sK0 @ X1 )
& ( sK1 @ X1 ) ) )
| ( $true = $false ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f66,plain,
( ! [X1: a] :
( ( ( ~ ( sK2 @ X1 )
& ( sK0 @ X1 ) )
= $false )
| ( ( sK1 @ X1 )
= $false )
| ( $true = $false ) )
| ~ spl4_1 ),
inference(and_proxy_clausification,[],[f65]) ).
thf(f67,plain,
( ! [X1: a] :
( ( $false
= ( ~ ( sK2 @ X1 ) ) )
| ( $true = $false )
| ( ( sK1 @ X1 )
= $false )
| ( $false
= ( sK0 @ X1 ) ) )
| ~ spl4_1 ),
inference(and_proxy_clausification,[],[f66]) ).
thf(f68,plain,
( ! [X1: a] :
( ( $false
= ( sK0 @ X1 ) )
| ( $true
= ( sK2 @ X1 ) )
| ( $true = $false )
| ( ( sK1 @ X1 )
= $false ) )
| ~ spl4_1 ),
inference(not_proxy_clausification,[],[f67]) ).
thf(f69,plain,
( ! [X1: a] :
( ( $false
= ( sK0 @ X1 ) )
| ( ( sK1 @ X1 )
= $false )
| ( $true
= ( sK2 @ X1 ) ) )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f76,plain,
( ( $true = $false )
| ( $true
= ( sK2 @ sK3 ) )
| ( ( sK1 @ sK3 )
= $false )
| ~ spl4_1
| ~ spl4_3 ),
inference(constrained_superposition,[],[f69,f61]) ).
thf(f79,plain,
( ( ( sK1 @ sK3 )
= $false )
| ( $true
= ( sK2 @ sK3 ) )
| ~ spl4_1
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f81,plain,
( ( ( sK1 @ sK3 )
= $false )
| ~ spl4_1
| spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f79,f26]) ).
thf(f85,plain,
( ( $true = $false )
| ~ spl4_1
| spl4_2
| ~ spl4_3 ),
inference(forward_demodulation,[],[f81,f31]) ).
thf(f86,plain,
( $false
| ~ spl4_1
| spl4_2
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f87,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f86]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
( spl4_1
| spl4_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s4,plain,
( spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f87]) ).
cnf(s7,plain,
spl4_1,
inference(rat,[],[s3,s4]) ).
cnf(s8,plain,
spl4_3,
inference(rat,[],[s2,s7]) ).
cnf(s9,plain,
~ spl4_2,
inference(rat,[],[s1,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s7,s8,s9]) ).
thf(f88,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU855^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 14:39:48 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.13 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
% 0.08/0.16 % (193069)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.16 % (193080)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.16 % (193080)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
% 0.08/0.16 % (193076)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1577801097:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.16 % (193075)lrs+10_16_si=on:nwc=1.5:random_seed=2366622004:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.16 % (193074)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3250608406:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.16 % (193077)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=3800296262: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)
% 0.08/0.16 % (193078)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=400925495:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.16 % (193079)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2912260499:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.16 % (193080)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=2166318757:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.16 % (193076)Refutation not found, incomplete strategy
% 0.08/0.16 % (193076)------------------------------
% 0.08/0.16 % (193076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (193076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (193076)CaDiCaL version: 2.1.3
% 0.08/0.16 % (193076)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.16 % (193076)Time elapsed: 0.001 s
% 0.08/0.16 % (193076)Peak memory usage: 11 MB
% 0.08/0.16 % (193076)Instructions burned: 1 (million)
% 0.08/0.16 % (193076)------------------------------
% 0.08/0.16 % (193076)------------------------------
% 0.08/0.16 % (193074) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-193069-193074"...
% 0.08/0.16 % (193075) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-193069-193075"...
% 0.08/0.16 % (193079) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-193069-193079"...
% 0.08/0.16 % (193077) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-193069-193077"...
% 0.08/0.16 % (193078) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-193069-193078"...
% 0.08/0.16 % (193074)...printing done.
% 0.08/0.16 % (193075)...printing done.
% 0.08/0.16 % (193079)...printing done.
% 0.08/0.16 % (193074)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16 % (193074)------------------------------
% 0.08/0.16 % (193074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (193074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (193074)CaDiCaL version: 2.1.3
% 0.08/0.16 % (193074)Termination reason: Refutation
% 0.08/0.16 % (193074)Time elapsed: 0.002 s
% 0.08/0.16 % (193074)Peak memory usage: 13 MB
% 0.08/0.16 % (193074)Instructions burned: 6 (million)
% 0.08/0.16 % (193069)Success in time 0.026 s
% 0.08/0.16 % Vampire exiting
%------------------------------------------------------------------------------