%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET624^5 : 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 : 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 08:23:24 AM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 85 ( 8 unt; 0 typ; 9 def)
% Number of atoms : 502 ( 138 equ; 0 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 483 ( 110 ~; 165 |; 39 &; 155 @)
% ( 13 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 32 !; 36 ?; 68 :)
% 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 ).
thf(func_def_7,type,
sK4: a ).
thf(func_def_8,type,
sK5: a ).
thf(f1,conjecture,
! [X1: a > $o,X0: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( X0 @ X3 )
& ( ( X2 @ X3 )
| ( X1 @ X3 ) ) )
<=> ( ? [X3: a] :
( ( X0 @ X3 )
& ( X1 @ X3 ) )
| ? [X3: a] :
( ( X2 @ X3 )
& ( X0 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_100_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a > $o,X0: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( X0 @ X3 )
& ( ( X2 @ X3 )
| ( X1 @ X3 ) ) )
<=> ( ? [X3: a] :
( ( X0 @ X3 )
& ( X1 @ X3 ) )
| ? [X3: a] :
( ( X2 @ X3 )
& ( X0 @ X3 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( X1 @ X3 )
& ( ( X2 @ X3 )
| ( X0 @ X3 ) ) )
<=> ( ? [X4: a] :
( ( X1 @ X4 )
& ( X0 @ X4 ) )
| ? [X5: a] :
( ( X2 @ X5 )
& ( X1 @ X5 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X1: a > $o,X0: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X3 )
= $true ) )
& ( ( X1 @ X3 )
= $true ) )
<=> ( ? [X5: a] :
( ( $true
= ( X1 @ X5 ) )
& ( $true
= ( X2 @ X5 ) ) )
| ? [X4: a] :
( ( $true
= ( X0 @ X4 ) )
& ( $true
= ( X1 @ X4 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X2: a > $o,X1: a > $o,X0: a > $o] :
( ( ? [X5: a] :
( ( $true
= ( X1 @ X5 ) )
& ( $true
= ( X2 @ X5 ) ) )
| ? [X4: a] :
( ( $true
= ( X0 @ X4 ) )
& ( $true
= ( X1 @ X4 ) ) ) )
<~> ? [X3: a] :
( ( ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X3 )
= $true ) )
& ( ( X1 @ X3 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X2: a > $o,X1: a > $o,X0: a > $o] :
( ( ! [X3: a] :
( ( ( ( X2 @ X3 )
!= $true )
& ( ( X0 @ X3 )
!= $true ) )
| ( ( X1 @ X3 )
!= $true ) )
| ( ! [X5: a] :
( ( $true
!= ( X1 @ X5 ) )
| ( $true
!= ( X2 @ X5 ) ) )
& ! [X4: a] :
( ( $true
!= ( X0 @ X4 ) )
| ( $true
!= ( X1 @ X4 ) ) ) ) )
& ( ? [X3: a] :
( ( ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X3 )
= $true ) )
& ( ( X1 @ X3 )
= $true ) )
| ? [X5: a] :
( ( $true
= ( X1 @ X5 ) )
& ( $true
= ( X2 @ X5 ) ) )
| ? [X4: a] :
( ( $true
= ( X0 @ X4 ) )
& ( $true
= ( X1 @ X4 ) ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
thf(f7,plain,
? [X2: a > $o,X1: a > $o,X0: a > $o] :
( ( ! [X3: a] :
( ( ( ( X2 @ X3 )
!= $true )
& ( ( X0 @ X3 )
!= $true ) )
| ( ( X1 @ X3 )
!= $true ) )
| ( ! [X5: a] :
( ( $true
!= ( X1 @ X5 ) )
| ( $true
!= ( X2 @ X5 ) ) )
& ! [X4: a] :
( ( $true
!= ( X0 @ X4 ) )
| ( $true
!= ( X1 @ X4 ) ) ) ) )
& ( ? [X3: a] :
( ( ( ( X2 @ X3 )
= $true )
| ( ( X0 @ X3 )
= $true ) )
& ( ( X1 @ X3 )
= $true ) )
| ? [X5: a] :
( ( $true
= ( X1 @ X5 ) )
& ( $true
= ( X2 @ X5 ) ) )
| ? [X4: a] :
( ( $true
= ( X0 @ X4 ) )
& ( $true
= ( X1 @ X4 ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( ( ( X0 @ X3 )
!= $true )
& ( ( X2 @ X3 )
!= $true ) )
| ( ( X1 @ X3 )
!= $true ) )
| ( ! [X4: a] :
( ( $true
!= ( X1 @ X4 ) )
| ( $true
!= ( X0 @ X4 ) ) )
& ! [X5: a] :
( ( $true
!= ( X2 @ X5 ) )
| ( $true
!= ( X1 @ X5 ) ) ) ) )
& ( ? [X6: a] :
( ( ( $true
= ( X0 @ X6 ) )
| ( $true
= ( X2 @ X6 ) ) )
& ( $true
= ( X1 @ X6 ) ) )
| ? [X7: a] :
( ( $true
= ( X1 @ X7 ) )
& ( $true
= ( X0 @ X7 ) ) )
| ? [X8: a] :
( ( $true
= ( X2 @ X8 ) )
& ( $true
= ( X1 @ X8 ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( ! [X3: a] :
( ( ( $true
!= ( sK0 @ X3 ) )
& ( $true
!= ( sK2 @ X3 ) ) )
| ( $true
!= ( sK1 @ X3 ) ) )
| ( ! [X4: a] :
( ( $true
!= ( sK1 @ X4 ) )
| ( $true
!= ( sK0 @ X4 ) ) )
& ! [X5: a] :
( ( $true
!= ( sK2 @ X5 ) )
| ( $true
!= ( sK1 @ X5 ) ) ) ) )
& ( ( ( ( $true
= ( sK0 @ sK3 ) )
| ( $true
= ( sK2 @ sK3 ) ) )
& ( $true
= ( sK1 @ sK3 ) ) )
| ( ( $true
= ( sK1 @ sK4 ) )
& ( $true
= ( sK0 @ sK4 ) ) )
| ( ( $true
= ( sK2 @ sK5 ) )
& ( $true
= ( sK1 @ sK5 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X6,sK3),skolemize(X7,sK4),skolemize(X8,sK5)],[f8]) ).
thf(f10,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK1 @ sK3 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f11,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK1 @ sK3 ) )
| ( $true
= ( sK0 @ sK4 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK1 @ sK3 ) )
| ( $true
= ( sK1 @ sK4 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
( ( $true
= ( sK1 @ sK4 ) )
| ( $true
= ( sK1 @ sK3 ) )
| ( $true
= ( sK2 @ sK5 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK0 @ sK3 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK2 @ sK3 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK2 @ sK3 ) )
| ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK3 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f16,plain,
( ( $true
= ( sK0 @ sK3 ) )
| ( $true
= ( sK1 @ sK4 ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK2 @ sK3 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK2 @ sK3 ) )
| ( $true
= ( sK1 @ sK4 ) )
| ( $true
= ( sK0 @ sK3 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f18,plain,
! [X3: a,X5: a] :
( ( $true
!= ( sK2 @ X3 ) )
| ( $true
!= ( sK2 @ X5 ) )
| ( $true
!= ( sK1 @ X5 ) )
| ( $true
!= ( sK1 @ X3 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,plain,
! [X3: a,X4: a] :
( ( $true
!= ( sK0 @ X3 ) )
| ( $true
!= ( sK1 @ X3 ) )
| ( $true
!= ( sK1 @ X4 ) )
| ( $true
!= ( sK0 @ X4 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f24,definition,
( spl6_1
<=> ! [X5: a] :
( ( $true
!= ( sK2 @ X5 ) )
| ( $true
!= ( sK1 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f25,plain,
( ! [X5: a] :
( ( $true
!= ( sK2 @ X5 ) )
| ( $true
!= ( sK1 @ X5 ) ) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f26,plain,
( spl6_1
| spl6_1 ),
inference(avatar_split_clause,[],[f18,f24,f24]) ).
thf(f28,definition,
( spl6_2
<=> ( $true
= ( sK0 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f32,definition,
( spl6_3
<=> ( $true
= ( sK1 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f34,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f36,definition,
( spl6_4
<=> ( $true
= ( sK2 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
thf(f38,plain,
( ( $true
= ( sK2 @ sK3 ) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f40,definition,
( spl6_5
<=> ( $true
= ( sK1 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
thf(f42,plain,
( ( $true
= ( sK1 @ sK4 ) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f43,plain,
( spl6_2
| spl6_3
| spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f16,f40,f36,f32,f28]) ).
thf(f45,definition,
( spl6_6
<=> ! [X3: a] :
( ( $true
!= ( sK0 @ X3 ) )
| ( $true
!= ( sK1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
thf(f46,plain,
( ! [X3: a] :
( ( $true
!= ( sK1 @ X3 ) )
| ( $true
!= ( sK0 @ X3 ) ) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f47,plain,
( spl6_6
| spl6_6 ),
inference(avatar_split_clause,[],[f21,f45,f45]) ).
thf(f49,definition,
( spl6_7
<=> ( $true
= ( sK1 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
thf(f51,plain,
( ( $true
= ( sK1 @ sK3 ) )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f52,plain,
( spl6_5
| spl6_7
| spl6_3 ),
inference(avatar_split_clause,[],[f12,f32,f49,f40]) ).
thf(f55,definition,
( spl6_8
<=> ( $true
= ( sK0 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
thf(f58,plain,
( spl6_7
| spl6_8
| spl6_3 ),
inference(avatar_split_clause,[],[f10,f32,f55,f49]) ).
thf(f59,plain,
( spl6_2
| spl6_4
| spl6_8
| spl6_3 ),
inference(avatar_split_clause,[],[f14,f32,f55,f36,f28]) ).
thf(f61,definition,
( spl6_9
<=> ( $true
= ( sK2 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
thf(f63,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f64,plain,
( spl6_9
| spl6_7
| spl6_5 ),
inference(avatar_split_clause,[],[f13,f40,f49,f61]) ).
thf(f66,plain,
( spl6_4
| spl6_8
| spl6_9
| spl6_2 ),
inference(avatar_split_clause,[],[f15,f28,f61,f55,f36]) ).
thf(f67,plain,
( spl6_7
| spl6_9
| spl6_8 ),
inference(avatar_split_clause,[],[f11,f55,f61,f49]) ).
thf(f68,plain,
( spl6_4
| spl6_5
| spl6_9
| spl6_2 ),
inference(avatar_split_clause,[],[f17,f28,f61,f40,f36]) ).
thf(f69,plain,
( ( $true
!= ( sK1 @ sK3 ) )
| ( $true != $true )
| ~ spl6_1
| ~ spl6_4 ),
inference(superposition,[],[f25,f38]) ).
thf(f70,plain,
( ( $true
!= ( sK1 @ sK3 ) )
| ~ spl6_1
| ~ spl6_4 ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f71,plain,
( ~ spl6_7
| ~ spl6_1
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f70,f36,f24,f49]) ).
thf(f72,plain,
( ( $true
!= ( sK0 @ sK4 ) )
| ( $true != $true )
| ~ spl6_5
| ~ spl6_6 ),
inference(superposition,[],[f46,f42]) ).
thf(f73,plain,
( ( $true
!= ( sK0 @ sK4 ) )
| ~ spl6_5
| ~ spl6_6 ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f74,plain,
( ~ spl6_8
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f73,f45,f40,f55]) ).
thf(f82,plain,
( ( $true
!= ( sK0 @ sK3 ) )
| ( $true != $true )
| ~ spl6_6
| ~ spl6_7 ),
inference(superposition,[],[f46,f51]) ).
thf(f83,plain,
( ( $true
!= ( sK0 @ sK3 ) )
| ~ spl6_6
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f84,plain,
( ~ spl6_2
| ~ spl6_6
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f83,f49,f45,f28]) ).
thf(f85,plain,
( ( $true
!= ( sK1 @ sK5 ) )
| ( $true != $true )
| ~ spl6_1
| ~ spl6_9 ),
inference(superposition,[],[f25,f63]) ).
thf(f86,plain,
( ( $true
!= ( sK1 @ sK5 ) )
| ~ spl6_1
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f87,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f86,f34]) ).
thf(f88,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f87]) ).
cnf(s1,plain,
( spl6_1
| spl6_1 ),
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
spl6_1,
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl6_2
| spl6_3
| spl6_4
| spl6_5 ),
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( spl6_6
| spl6_6 ),
inference(sat_conversion,[],[f47]) ).
cnf(s5,plain,
spl6_6,
inference(rat,[],[s4]) ).
cnf(s6,plain,
( spl6_3
| spl6_5
| spl6_7 ),
inference(sat_conversion,[],[f52]) ).
cnf(s8,plain,
( spl6_3
| spl6_7
| spl6_8 ),
inference(sat_conversion,[],[f58]) ).
cnf(s9,plain,
( spl6_2
| spl6_3
| spl6_4
| spl6_8 ),
inference(sat_conversion,[],[f59]) ).
cnf(s10,plain,
( spl6_5
| spl6_7
| spl6_9 ),
inference(sat_conversion,[],[f64]) ).
cnf(s12,plain,
( spl6_2
| spl6_4
| spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f66]) ).
cnf(s13,plain,
( spl6_7
| spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f67]) ).
cnf(s14,plain,
( spl6_2
| spl6_4
| spl6_5
| spl6_9 ),
inference(sat_conversion,[],[f68]) ).
cnf(s15,plain,
( ~ spl6_1
| ~ spl6_4
| ~ spl6_7 ),
inference(sat_conversion,[],[f71]) ).
cnf(s16,plain,
( ~ spl6_5
| ~ spl6_6
| ~ spl6_8 ),
inference(sat_conversion,[],[f74]) ).
cnf(s18,plain,
( ~ spl6_2
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f84]) ).
cnf(s19,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_9 ),
inference(sat_conversion,[],[f88]) ).
cnf(s20,plain,
( spl6_4
| spl6_3
| spl6_2 ),
inference(rat,[],[s16,s3,s9,s5]) ).
cnf(s21,plain,
( spl6_7
| spl6_3 ),
inference(rat,[],[s16,s6,s8,s5]) ).
cnf(s22,plain,
( spl6_3
| spl6_2 ),
inference(rat,[],[s21,s15,s20,s2]) ).
cnf(s23,plain,
( spl6_7
| spl6_9 ),
inference(rat,[],[s16,s10,s13,s5]) ).
cnf(s24,plain,
( spl6_4
| spl6_9
| spl6_2 ),
inference(rat,[],[s16,s12,s14,s5]) ).
cnf(s25,plain,
spl6_2,
inference(rat,[],[s24,s15,s23,s19,s22,s2]) ).
cnf(s26,plain,
~ spl6_7,
inference(rat,[],[s18,s5,s25]) ).
cnf(s27,plain,
spl6_3,
inference(rat,[],[s21,s26]) ).
cnf(s28,plain,
spl6_9,
inference(rat,[],[s23,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s19,s2,s28,s27]) ).
thf(f89,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET624^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 13:39:40 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.24 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
% 0.21/0.26 % (724398)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.26 % (724406)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=3346424438: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)
% 0.21/0.26 % (724406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-724398-724406"...
% 0.21/0.26 % (724406)...printing done.
% 0.21/0.26 % (724406)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26 % (724406)------------------------------
% 0.21/0.26 % (724406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (724406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (724406)CaDiCaL version: 2.1.3
% 0.21/0.26 % (724406)Termination reason: Refutation
% 0.21/0.26 % (724406)Time elapsed: 0.002 s
% 0.21/0.26 % (724406)Peak memory usage: 13 MB
% 0.21/0.26 % (724406)Instructions burned: 5 (million)
% 0.21/0.26 % (724398)Success in time 0.017 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------