%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET069+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Tue Sep 29 12:39:55 PM UTC 2026
% Result : Theorem 5.55s 1.90s
% Output : Refutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 122 ( 18 unt; 9 def)
% Number of atoms : 315 ( 72 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 329 ( 136 ~; 159 |; 20 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X0,X1)
& subclass(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f44,conjecture,
! [X0,X1] :
( ~ member(X1,universal_class)
=> unordered_pair(X0,X1) = singleton(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pair_contains_only_other2) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( ~ member(X1,universal_class)
=> unordered_pair(X0,X1) = singleton(X0) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f60,plain,
? [X0,X1] :
( unordered_pair(X0,X1) != singleton(X0)
& ~ member(X1,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f61,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f62,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f66]) ).
fof(f103,plain,
( unordered_pair(sK6,sK7) != singleton(sK6)
& ~ member(sK7,universal_class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f60]) ).
fof(f105,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f106,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f110,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| member(X0,universal_class) ),
inference(cnf_transformation,[],[f67]) ).
fof(f113,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| X0 != X2 ),
inference(cnf_transformation,[],[f67]) ).
fof(f114,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| X0 != X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f116,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f191,plain,
~ member(sK7,universal_class),
inference(cnf_transformation,[],[f103]) ).
fof(f192,plain,
unordered_pair(sK6,sK7) != singleton(sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f230,plain,
unordered_pair(sK6,sK7) != unordered_pair(sK6,sK6),
inference(definition_unfolding,[],[f192,f116]) ).
fof(f233,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f114]) ).
fof(f234,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f113]) ).
fof(f237,definition,
sF8 = unordered_pair(sK6,sK7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f238,plain,
unordered_pair(sK6,sK7) = sF8,
inference(reorient_equations,[],[f237]) ).
fof(f239,definition,
sF9 = unordered_pair(sK6,sK6),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f240,plain,
unordered_pair(sK6,sK6) = sF9,
inference(reorient_equations,[],[f239]) ).
fof(f241,plain,
sF8 != sF9,
inference(definition_folding,[],[f230,f240,f238]) ).
fof(f244,plain,
! [X0] :
( ~ member(X0,sF9)
| sK6 = X0
| sK6 = X0 ),
inference(superposition,[],[f111,f240]) ).
fof(f245,plain,
! [X0] :
( ~ member(X0,sF8)
| sK7 = X0
| sK6 = X0 ),
inference(superposition,[],[f111,f238]) ).
fof(f246,plain,
! [X0] :
( ~ member(X0,sF9)
| sK6 = X0 ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f247,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,universal_class) ),
inference(superposition,[],[f112,f240]) ).
fof(f248,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,universal_class) ),
inference(superposition,[],[f112,f238]) ).
fof(f251,plain,
( member(sK6,sF9)
| ~ member(sK6,universal_class) ),
inference(superposition,[],[f234,f240]) ).
fof(f254,definition,
( spl10_1
<=> member(sK6,universal_class) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f255,plain,
( member(sK6,universal_class)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( ~ member(sK6,universal_class)
| spl10_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl10_2
<=> member(sK6,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f260,plain,
( member(sK6,sF9)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f251,f258,f254]) ).
fof(f265,plain,
( member(sK6,sF8)
| ~ member(sK6,universal_class) ),
inference(superposition,[],[f233,f238]) ).
fof(f274,plain,
! [X0] :
( subclass(sF8,X0)
| sK7 = sK0(sF8,X0)
| sK6 = sK0(sF8,X0) ),
inference(resolution,[],[f105,f245]) ).
fof(f275,plain,
! [X0] :
( member(sK0(sF8,X0),universal_class)
| subclass(sF8,X0) ),
inference(resolution,[],[f105,f248]) ).
fof(f276,plain,
! [X0] :
( subclass(sF9,X0)
| sK6 = sK0(sF9,X0) ),
inference(resolution,[],[f105,f246]) ).
fof(f277,plain,
! [X0] :
( member(sK0(sF9,X0),universal_class)
| subclass(sF9,X0) ),
inference(resolution,[],[f105,f247]) ).
fof(f278,plain,
! [X0] :
( ~ subclass(X0,sF9)
| sK6 = sK0(sF9,X0)
| sF9 = X0 ),
inference(resolution,[],[f276,f110]) ).
fof(f279,plain,
! [X0] :
( ~ subclass(X0,sF8)
| sK6 = sK0(sF8,X0)
| sK7 = sK0(sF8,X0)
| sF8 = X0 ),
inference(resolution,[],[f274,f110]) ).
fof(f282,plain,
( sK6 = sK0(sF8,sF9)
| sK7 = sK0(sF8,sF9)
| sF8 = sF9
| sK6 = sK0(sF9,sF8) ),
inference(resolution,[],[f279,f276]) ).
fof(f285,plain,
( sK6 = sK0(sF8,sF9)
| sK7 = sK0(sF8,sF9)
| sK6 = sK0(sF9,sF8) ),
inference(forward_subsumption_resolution,[],[f282,f241]) ).
fof(f287,definition,
( spl10_3
<=> sK6 = sK0(sF9,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f288,plain,
( sK6 != sK0(sF9,sF8)
| spl10_3 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( sK6 = sK0(sF9,sF8)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,definition,
( spl10_4
<=> sK7 = sK0(sF8,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f293,plain,
( sK7 = sK0(sF8,sF9)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f295,definition,
( spl10_5
<=> sK6 = sK0(sF8,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f297,plain,
( sK6 = sK0(sF8,sF9)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,plain,
( spl10_3
| spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f285,f295,f291,f287]) ).
fof(f299,plain,
( member(sK6,universal_class)
| subclass(sF9,sF8)
| ~ spl10_3 ),
inference(superposition,[],[f277,f289]) ).
fof(f302,definition,
( spl10_6
<=> subclass(sF9,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f304,plain,
( subclass(sF9,sF8)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,plain,
( subclass(sF9,sF8)
| spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f299,f256]) ).
fof(f307,plain,
( spl10_6
| spl10_1
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f306,f287,f254,f302]) ).
fof(f308,plain,
( member(sK6,sF8)
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f265,f255]) ).
fof(f328,plain,
( ~ member(sK6,sF8)
| subclass(sF9,sF8)
| ~ spl10_3 ),
inference(superposition,[],[f106,f289]) ).
fof(f332,plain,
( subclass(sF9,sF8)
| ~ spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f328,f308]) ).
fof(f333,plain,
( spl10_6
| ~ spl10_1
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f332,f287,f254,f302]) ).
fof(f334,plain,
( sK6 = sK0(sF8,sF9)
| sK7 = sK0(sF8,sF9)
| sF8 = sF9
| ~ spl10_6 ),
inference(resolution,[],[f304,f279]) ).
fof(f335,plain,
( ~ subclass(sF8,sF9)
| sF8 = sF9
| ~ spl10_6 ),
inference(resolution,[],[f304,f110]) ).
fof(f336,plain,
( ~ subclass(sF8,sF9)
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f335,f241]) ).
fof(f337,plain,
( sK6 = sK0(sF8,sF9)
| sK7 = sK0(sF8,sF9)
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f334,f241]) ).
fof(f338,plain,
( spl10_4
| spl10_5
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f337,f302,f295,f291]) ).
fof(f339,plain,
( member(sK7,universal_class)
| subclass(sF8,sF9)
| ~ spl10_4 ),
inference(superposition,[],[f275,f293]) ).
fof(f344,plain,
( subclass(sF8,sF9)
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f339,f191]) ).
fof(f345,plain,
( $false
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f344,f336]) ).
fof(f346,plain,
( ~ spl10_4
| ~ spl10_6 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f347,plain,
( member(sK6,universal_class)
| subclass(sF8,sF9)
| ~ spl10_5 ),
inference(superposition,[],[f275,f297]) ).
fof(f348,plain,
( ~ member(sK6,sF9)
| subclass(sF8,sF9)
| ~ spl10_5 ),
inference(superposition,[],[f106,f297]) ).
fof(f350,plain,
( subclass(sF8,sF9)
| ~ spl10_2
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f348,f260]) ).
fof(f351,plain,
( $false
| ~ spl10_2
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f350,f336]) ).
fof(f352,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_6 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f354,plain,
( sK6 = sK0(sF9,sF8)
| sF8 = sF9
| ~ spl10_2
| ~ spl10_5 ),
inference(resolution,[],[f350,f278]) ).
fof(f356,plain,
( sF8 = sF9
| ~ spl10_2
| spl10_3
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f354,f288]) ).
fof(f357,plain,
( $false
| ~ spl10_2
| spl10_3
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f356,f241]) ).
fof(f358,plain,
( ~ spl10_2
| spl10_3
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f360,definition,
( spl10_7
<=> subclass(sF8,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f362,plain,
( subclass(sF8,sF9)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f368,plain,
( subclass(sF8,sF9)
| spl10_1
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f347,f256]) ).
fof(f369,plain,
( spl10_7
| spl10_1
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f368,f295,f254,f360]) ).
fof(f370,plain,
( sK6 = sK0(sF9,sF8)
| sF8 = sF9
| ~ spl10_7 ),
inference(resolution,[],[f362,f278]) ).
fof(f372,plain,
( sF8 = sF9
| spl10_3
| ~ spl10_7 ),
inference(forward_subsumption_resolution,[],[f370,f288]) ).
fof(f373,plain,
( $false
| spl10_3
| ~ spl10_7 ),
inference(forward_subsumption_resolution,[],[f372,f241]) ).
fof(f374,plain,
( spl10_3
| ~ spl10_7 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f375,plain,
( spl10_7
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f344,f291,f360]) ).
fof(f377,plain,
( ~ spl10_7
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f336,f302,f360]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f261]) ).
cnf(s2,plain,
( spl10_3
| spl10_4
| spl10_5 ),
inference(sat_conversion,[],[f298]) ).
cnf(s4,plain,
( spl10_1
| ~ spl10_3
| spl10_6 ),
inference(sat_conversion,[],[f307]) ).
cnf(s5,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_6 ),
inference(sat_conversion,[],[f333]) ).
cnf(s6,plain,
( spl10_4
| spl10_5
| ~ spl10_6 ),
inference(sat_conversion,[],[f338]) ).
cnf(s7,plain,
( ~ spl10_4
| ~ spl10_6 ),
inference(sat_conversion,[],[f346]) ).
cnf(s8,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_6 ),
inference(sat_conversion,[],[f352]) ).
cnf(s9,plain,
( ~ spl10_2
| spl10_3
| ~ spl10_5 ),
inference(sat_conversion,[],[f358]) ).
cnf(s11,plain,
( spl10_1
| ~ spl10_5
| spl10_7 ),
inference(sat_conversion,[],[f369]) ).
cnf(s12,plain,
( spl10_3
| ~ spl10_7 ),
inference(sat_conversion,[],[f374]) ).
cnf(s13,plain,
( ~ spl10_4
| spl10_7 ),
inference(sat_conversion,[],[f375]) ).
cnf(s16,plain,
( ~ spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f377]) ).
cnf(s17,plain,
( spl10_3
| spl10_1 ),
inference(rat,[],[s2,s11,s13,s12]) ).
cnf(s18,plain,
( ~ spl10_3
| spl10_1 ),
inference(rat,[],[s11,s6,s7,s16,s4]) ).
cnf(s19,plain,
spl10_1,
inference(rat,[],[s18,s17]) ).
cnf(s20,plain,
spl10_2,
inference(rat,[],[s1,s19]) ).
cnf(s21,plain,
spl10_3,
inference(rat,[],[s2,s13,s9,s12,s20]) ).
cnf(s22,plain,
spl10_6,
inference(rat,[],[s5,s19,s21]) ).
cnf(s24,plain,
~ spl10_4,
inference(rat,[],[s7,s22]) ).
cnf(s25,plain,
~ spl10_5,
inference(rat,[],[s8,s20,s22]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s6,s24,s22,s25]) ).
fof(f378,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET069+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:30:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.55/1.90 % (1079075)Detected formulas, will run a generic FOF schedule.
% 5.55/1.90 % (1079086)dis-21_1_sil=8000:lcm=predicate:random_seed=2824271143:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.55/1.90 % (1079085)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1857586427:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.55/1.90 % (1079081)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4288049725:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.55/1.90 % (1079083)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3619278793:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.55/1.90 % (1079082)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3389060970:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.55/1.90 % (1079084)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=566879233:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.55/1.90 % (1079080)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3062974403:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.55/1.90 % (1079083)Refutation not found, incomplete strategy
% 5.55/1.90 % (1079083)------------------------------
% 5.55/1.90 % (1079083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079083)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079083)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.90 % (1079083)Time elapsed: 0.001 s
% 5.55/1.90 % (1079083)Peak memory usage: 88 MB
% 5.55/1.90 % (1079084)Refutation not found, incomplete strategy
% 5.55/1.90 % (1079084)------------------------------
% 5.55/1.90 % (1079084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079084)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079084)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.90 % (1079084)Time elapsed: 0.001 s
% 5.55/1.90 % (1079084)Peak memory usage: 88 MB
% 5.55/1.90 % (1079084)Instructions burned: 1 (million)
% 5.55/1.90 % (1079086)Instruction limit reached!
% 5.55/1.90 % (1079086)------------------------------
% 5.55/1.90 % (1079086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079086)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079086)Termination reason: Instruction limit
% 5.55/1.90 % (1079086)Termination phase: Saturation
% 5.55/1.90 % (1079086)Time elapsed: 0.042 s
% 5.55/1.90 % (1079086)Peak memory usage: 89 MB
% 5.55/1.90 % (1079086)Instructions burned: 129 (million)
% 5.55/1.90 % (1079094)lrs+10_1_sil=8000:sp=occurrence:random_seed=2704236578:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.55/1.90 % (1079085)Instruction limit reached!
% 5.55/1.90 % (1079085)------------------------------
% 5.55/1.90 % (1079085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079085)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079085)Termination reason: Instruction limit
% 5.55/1.90 % (1079085)Termination phase: Saturation
% 5.55/1.90 % (1079085)Time elapsed: 0.115 s
% 5.55/1.90 % (1079085)Peak memory usage: 90 MB
% 5.55/1.90 % (1079085)Instructions burned: 141 (million)
% 5.55/1.90 % (1079094)Instruction limit reached!
% 5.55/1.90 % (1079094)------------------------------
% 5.55/1.90 % (1079094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079094)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079094)Termination reason: Instruction limit
% 5.55/1.90 % (1079094)Termination phase: Saturation
% 5.55/1.90 % (1079094)Time elapsed: 0.098 s
% 5.55/1.90 % (1079094)Peak memory usage: 92 MB
% 5.55/1.90 % (1079094)Instructions burned: 287 (million)
% 5.55/1.90 % (1079083)------------------------------
% 5.55/1.90 % (1079083)------------------------------
% 5.55/1.90 % (1079084)------------------------------
% 5.55/1.90 % (1079084)------------------------------
% 5.55/1.90 % (1079096)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3635449938:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.55/1.90 % (1079096)Refutation not found, incomplete strategy
% 5.55/1.90 % (1079096)------------------------------
% 5.55/1.90 % (1079096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079096)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079096)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.90 % (1079096)Time elapsed: 0.003 s
% 5.55/1.90 % (1079096)Peak memory usage: 88 MB
% 5.55/1.90 % (1079096)Instructions burned: 2 (million)
% 5.55/1.90 % (1079097)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3536834867:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.55/1.90 % (1079100)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3956391214:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.55/1.90 % (1079098)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1982126377:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.55/1.90 % (1079097)Instruction limit reached!
% 5.55/1.90 % (1079097)------------------------------
% 5.55/1.90 % (1079097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079097)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079097)Termination reason: Instruction limit
% 5.55/1.90 % (1079097)Termination phase: Saturation
% 5.55/1.90 % (1079097)Time elapsed: 0.118 s
% 5.55/1.90 % (1079097)Peak memory usage: 92 MB
% 5.55/1.90 % (1079097)Instructions burned: 327 (million)
% 5.55/1.90 % (1079104)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2086823162:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.55/1.90 % (1079096)------------------------------
% 5.55/1.90 % (1079096)------------------------------
% 5.55/1.90 % (1079100)Instruction limit reached!
% 5.55/1.90 % (1079100)------------------------------
% 5.55/1.90 % (1079100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079100)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079100)Termination reason: Instruction limit
% 5.55/1.90 % (1079100)Termination phase: Saturation
% 5.55/1.90 % (1079100)Time elapsed: 0.146 s
% 5.55/1.90 % (1079100)Peak memory usage: 89 MB
% 5.55/1.90 % (1079100)Instructions burned: 294 (million)
% 5.55/1.90 % (1079098)Instruction limit reached!
% 5.55/1.90 % (1079098)------------------------------
% 5.55/1.90 % (1079098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079098)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079098)Termination reason: Instruction limit
% 5.55/1.90 % (1079098)Termination phase: Saturation
% 5.55/1.90 % (1079098)Time elapsed: 0.146 s
% 5.55/1.90 % (1079098)Peak memory usage: 92 MB
% 5.55/1.90 % (1079098)Instructions burned: 248 (million)
% 5.55/1.90 % (1079082)Refutation not found, incomplete strategy
% 5.55/1.90 % (1079082)------------------------------
% 5.55/1.90 % (1079082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079082)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079082)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.90 % (1079082)Time elapsed: 0.602 s
% 5.55/1.90 % (1079082)Peak memory usage: 127 MB
% 5.55/1.90 % (1079082)Instructions burned: 895 (million)
% 5.55/1.90 % (1079080)First to succeed.
% 5.55/1.90 % (1079080)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1079075"
% 5.55/1.90 % (1079106)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2805409563:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.55/1.90 % (1079108)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2398474562:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.55/1.90 % (1079107)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=756170151:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.55/1.90 % (1079108)Refutation not found, incomplete strategy
% 5.55/1.90 % (1079108)------------------------------
% 5.55/1.90 % (1079108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079108)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079108)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.90 % (1079108)Time elapsed: 0.002 s
% 5.55/1.90 % (1079108)Peak memory usage: 88 MB
% 5.55/1.90 % (1079108)Instructions burned: 2 (million)
% 5.55/1.90 % (1079106)Instruction limit reached!
% 5.55/1.90 % (1079106)------------------------------
% 5.55/1.90 % (1079106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079106)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079106)Termination reason: Instruction limit
% 5.55/1.90 % (1079106)Termination phase: Saturation
% 5.55/1.90 % (1079106)Time elapsed: 0.062 s
% 5.55/1.90 % (1079106)Peak memory usage: 92 MB
% 5.55/1.90 % (1079106)Instructions burned: 114 (million)
% 5.55/1.90 % (1079107)Instruction limit reached!
% 5.55/1.90 % (1079107)------------------------------
% 5.55/1.90 % (1079107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079107)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079107)Termination reason: Instruction limit
% 5.55/1.90 % (1079107)Termination phase: Saturation
% 5.55/1.90 % (1079107)Time elapsed: 0.068 s
% 5.55/1.90 % (1079107)Peak memory usage: 89 MB
% 5.55/1.90 % (1079107)Instructions burned: 127 (million)
% 5.55/1.90 % (1079112)lrs+10_1_sil=8000:sp=occurrence:random_seed=3971844027:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.55/1.90 % (1079082)------------------------------
% 5.55/1.90 % (1079082)------------------------------
% 5.55/1.90 % (1079104)Also succeeded, but the first one will report.
% 5.55/1.90 % (1079113)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4280006548:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.55/1.90 % (1079113)Refutation not found, incomplete strategy
% 5.55/1.90 % (1079113)------------------------------
% 5.55/1.90 % (1079113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.90 % (1079113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.90 % (1079113)CaDiCaL version: 2.1.3
% 5.55/1.90 % (1079113)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.90 % (1079113)Time elapsed: 0.001 s
% 5.55/1.90 % (1079113)Peak memory usage: 88 MB
% 5.55/1.90 % (1079080)Refutation found. Thanks to Tanya!
% 5.55/1.90 % SZS status Theorem for theBenchmark
% 5.55/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 7.99/2.09 % (1079080)------------------------------
% 7.99/2.09 % (1079080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.09 % (1079080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.09 % (1079080)CaDiCaL version: 2.1.3
% 7.99/2.09 % (1079080)Termination reason: Refutation
% 7.99/2.09 % (1079080)Time elapsed: 0.643 s
% 7.99/2.09 % (1079080)Peak memory usage: 129 MB
% 7.99/2.09 % (1079080)Instructions burned: 959 (million)
% 7.99/2.09 % (1079080)------------------------------
% 7.99/2.09 % (1079080)------------------------------
% 7.99/2.09 % (1079075)Success in time 1.057 s
% 7.99/2.09 % Vampire exiting
%------------------------------------------------------------------------------