%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET104+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 : n011.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 12:40:08 PM UTC 2026
% Result : Theorem 6.88s 2.41s
% Output : Refutation 11.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 126 ( 31 unt; 13 def)
% Number of atoms : 303 ( 95 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 283 ( 106 ~; 138 |; 26 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 78 !; 6 ?)
% 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(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).
fof(f44,conjecture,
! [X0,X1] :
( unordered_pair(null_class,singleton(singleton(X1))) = ordered_pair(X0,X1)
| member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_2_of_ordered_pair) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( unordered_pair(null_class,singleton(singleton(X1))) = ordered_pair(X0,X1)
| member(X0,universal_class) ),
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(f57,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f60,plain,
? [X0,X1] :
( ordered_pair(X0,X1) != unordered_pair(null_class,singleton(singleton(X1)))
& ~ member(X0,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(f101,plain,
! [X0] :
( ( member(sK4(X0),universal_class)
& member(sK4(X0),X0)
& disjoint(sK4(X0),X0) )
| null_class = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f57]) ).
fof(f103,plain,
( ordered_pair(sK6,sK7) != unordered_pair(null_class,singleton(singleton(sK7)))
& ~ member(sK6,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(f115,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f117,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f186,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f187,plain,
! [X0] :
( member(sK4(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f191,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f103]) ).
fof(f192,plain,
ordered_pair(sK6,sK7) != unordered_pair(null_class,singleton(singleton(sK7))),
inference(cnf_transformation,[],[f103]) ).
fof(f193,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f117,f116,f116]) ).
fof(f230,plain,
unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))) != unordered_pair(null_class,unordered_pair(unordered_pair(sK7,sK7),unordered_pair(sK7,sK7))),
inference(definition_unfolding,[],[f192,f193,f116,f116]) ).
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,sK6),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f238,plain,
unordered_pair(sK6,sK6) = sF8,
inference(reorient_equations,[],[f237]) ).
fof(f239,definition,
sF9 = unordered_pair(sK7,sK7),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f240,plain,
unordered_pair(sK7,sK7) = sF9,
inference(reorient_equations,[],[f239]) ).
fof(f241,definition,
sF10 = unordered_pair(sK6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f242,plain,
unordered_pair(sK6,sF9) = sF10,
inference(reorient_equations,[],[f241]) ).
fof(f243,definition,
sF11 = unordered_pair(sF8,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f244,plain,
unordered_pair(sF8,sF10) = sF11,
inference(reorient_equations,[],[f243]) ).
fof(f245,definition,
sF12 = unordered_pair(sF9,sF9),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f246,plain,
unordered_pair(sF9,sF9) = sF12,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF13 = unordered_pair(null_class,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f248,plain,
unordered_pair(null_class,sF12) = sF13,
inference(reorient_equations,[],[f247]) ).
fof(f249,plain,
sF11 != sF13,
inference(definition_folding,[],[f230,f248,f246,f240,f240,f244,f242,f240,f238]) ).
fof(f252,plain,
member(sF9,universal_class),
inference(superposition,[],[f115,f240]) ).
fof(f257,plain,
! [X0] :
( ~ member(X0,sF10)
| sF9 = X0
| sK6 = X0 ),
inference(superposition,[],[f111,f242]) ).
fof(f258,plain,
! [X0] :
( ~ member(X0,sF8)
| sK6 = X0
| sK6 = X0 ),
inference(superposition,[],[f111,f238]) ).
fof(f261,plain,
! [X0] :
( ~ member(X0,sF12)
| sF9 = X0
| sF9 = X0 ),
inference(superposition,[],[f111,f246]) ).
fof(f262,plain,
! [X0] :
( ~ member(X0,sF12)
| sF9 = X0 ),
inference(duplicate_literal_removal,[],[f261]) ).
fof(f264,plain,
! [X0] :
( ~ member(X0,sF8)
| sK6 = X0 ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f266,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,universal_class) ),
inference(superposition,[],[f112,f242]) ).
fof(f274,plain,
( member(sF9,sF10)
| ~ member(sF9,universal_class) ),
inference(superposition,[],[f234,f242]) ).
fof(f278,plain,
( member(sF9,sF12)
| ~ member(sF9,universal_class) ),
inference(superposition,[],[f234,f246]) ).
fof(f279,plain,
member(sF9,sF12),
inference(forward_subsumption_resolution,[],[f278,f252]) ).
fof(f290,plain,
member(sF9,sF10),
inference(forward_subsumption_resolution,[],[f274,f252]) ).
fof(f331,plain,
( null_class = sF8
| sK6 = sK4(sF8) ),
inference(resolution,[],[f186,f264]) ).
fof(f372,definition,
( spl14_12
<=> sK6 = sK4(sF8) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f374,plain,
( sK6 = sK4(sF8)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl14_13
<=> null_class = sF8 ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f378,plain,
( null_class = sF8
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( spl14_12
| spl14_13 ),
inference(avatar_split_clause,[],[f331,f376,f372]) ).
fof(f472,plain,
( member(sK6,universal_class)
| null_class = sF8
| ~ spl14_12 ),
inference(superposition,[],[f187,f374]) ).
fof(f473,plain,
( null_class = sF8
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f472,f191]) ).
fof(f514,plain,
! [X0] :
( subclass(sF10,X0)
| sF9 = sK0(sF10,X0)
| sK6 = sK0(sF10,X0) ),
inference(resolution,[],[f105,f257]) ).
fof(f517,plain,
! [X0] :
( subclass(sF12,X0)
| sF9 = sK0(sF12,X0) ),
inference(resolution,[],[f105,f262]) ).
fof(f559,plain,
! [X0] :
( ~ subclass(X0,sF12)
| sF9 = sK0(sF12,X0)
| sF12 = X0 ),
inference(resolution,[],[f517,f110]) ).
fof(f572,plain,
! [X0] :
( ~ subclass(X0,sF10)
| sK6 = sK0(sF10,X0)
| sF9 = sK0(sF10,X0)
| sF10 = X0 ),
inference(resolution,[],[f514,f110]) ).
fof(f979,plain,
( sK6 = sK0(sF10,sF12)
| sF9 = sK0(sF10,sF12)
| sF10 = sF12
| sF9 = sK0(sF12,sF10) ),
inference(resolution,[],[f572,f517]) ).
fof(f1004,definition,
( spl14_29
<=> sF9 = sK0(sF12,sF10) ),
introduced(definition,[new_symbols(definition,[spl14_29])],[avatar_definition]) ).
fof(f1005,plain,
( sF9 != sK0(sF12,sF10)
| spl14_29 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1006,plain,
( sF9 = sK0(sF12,sF10)
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1008,definition,
( spl14_30
<=> sF10 = sF12 ),
introduced(definition,[new_symbols(definition,[spl14_30])],[avatar_definition]) ).
fof(f1010,plain,
( sF10 = sF12
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1012,definition,
( spl14_31
<=> sF9 = sK0(sF10,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f1014,plain,
( sF9 = sK0(sF10,sF12)
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1016,definition,
( spl14_32
<=> sK6 = sK0(sF10,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_32])],[avatar_definition]) ).
fof(f1018,plain,
( sK6 = sK0(sF10,sF12)
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1019,plain,
( spl14_29
| spl14_30
| spl14_31
| spl14_32 ),
inference(avatar_split_clause,[],[f979,f1016,f1012,f1008,f1004]) ).
fof(f1225,plain,
( ~ member(sF9,sF10)
| subclass(sF12,sF10)
| ~ spl14_29 ),
inference(superposition,[],[f106,f1006]) ).
fof(f1227,plain,
( subclass(sF12,sF10)
| ~ spl14_29 ),
inference(forward_subsumption_resolution,[],[f1225,f290]) ).
fof(f1313,plain,
( sK6 = sK0(sF10,sF12)
| sF9 = sK0(sF10,sF12)
| sF10 = sF12
| ~ spl14_29 ),
inference(resolution,[],[f1227,f572]) ).
fof(f1314,plain,
( ~ subclass(sF10,sF12)
| sF10 = sF12
| ~ spl14_29 ),
inference(resolution,[],[f1227,f110]) ).
fof(f1383,definition,
( spl14_59
<=> subclass(sF10,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_59])],[avatar_definition]) ).
fof(f1384,plain,
( subclass(sF10,sF12)
| ~ spl14_59 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1385,plain,
( ~ subclass(sF10,sF12)
| spl14_59 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1386,plain,
( spl14_30
| ~ spl14_59
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f1314,f1004,f1383,f1008]) ).
fof(f1387,plain,
( spl14_30
| spl14_31
| spl14_32
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f1313,f1004,f1016,f1012,f1008]) ).
fof(f1423,plain,
( ~ member(sF9,sF12)
| subclass(sF10,sF12)
| ~ spl14_31 ),
inference(superposition,[],[f106,f1014]) ).
fof(f1425,plain,
( subclass(sF10,sF12)
| ~ spl14_31 ),
inference(forward_subsumption_resolution,[],[f1423,f279]) ).
fof(f1430,plain,
( member(sK6,sF10)
| subclass(sF10,sF12)
| ~ spl14_32 ),
inference(superposition,[],[f105,f1018]) ).
fof(f1431,plain,
( member(sK6,sF10)
| ~ spl14_32
| spl14_59 ),
inference(forward_subsumption_resolution,[],[f1430,f1385]) ).
fof(f1435,plain,
( member(sK6,universal_class)
| ~ spl14_32
| spl14_59 ),
inference(resolution,[],[f1431,f266]) ).
fof(f1437,plain,
( $false
| ~ spl14_32
| spl14_59 ),
inference(forward_subsumption_resolution,[],[f1435,f191]) ).
fof(f1438,plain,
( ~ spl14_32
| spl14_59 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1439,plain,
( spl14_59
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f1425,f1012,f1383]) ).
fof(f1579,plain,
( sF9 = sK0(sF12,sF10)
| sF10 = sF12
| ~ spl14_59 ),
inference(resolution,[],[f559,f1384]) ).
fof(f1587,plain,
( sF10 = sF12
| spl14_29
| ~ spl14_59 ),
inference(forward_subsumption_resolution,[],[f1579,f1005]) ).
fof(f1590,plain,
( spl14_30
| spl14_29
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f1587,f1383,f1004,f1008]) ).
fof(f2140,plain,
( spl14_13
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f473,f372,f376]) ).
fof(f2145,plain,
( sF13 = unordered_pair(sF8,sF12)
| ~ spl14_13 ),
inference(superposition,[],[f248,f378]) ).
fof(f2146,plain,
( unordered_pair(sF8,sF10) = sF13
| ~ spl14_13
| ~ spl14_30 ),
inference(forward_demodulation,[],[f2145,f1010]) ).
fof(f2147,plain,
( sF11 = sF13
| ~ spl14_13
| ~ spl14_30 ),
inference(forward_demodulation,[],[f2146,f244]) ).
fof(f2148,plain,
( $false
| ~ spl14_13
| ~ spl14_30 ),
inference(forward_subsumption_resolution,[],[f2147,f249]) ).
fof(f2149,plain,
( ~ spl14_13
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
cnf(s6,plain,
( spl14_12
| spl14_13 ),
inference(sat_conversion,[],[f379]) ).
cnf(s25,plain,
( spl14_29
| spl14_30
| spl14_31
| spl14_32 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s52,plain,
( ~ spl14_29
| spl14_30
| ~ spl14_59 ),
inference(sat_conversion,[],[f1386]) ).
cnf(s53,plain,
( ~ spl14_29
| spl14_30
| spl14_31
| spl14_32 ),
inference(sat_conversion,[],[f1387]) ).
cnf(s59,plain,
( ~ spl14_32
| spl14_59 ),
inference(sat_conversion,[],[f1438]) ).
cnf(s60,plain,
( ~ spl14_31
| spl14_59 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s66,plain,
( spl14_29
| spl14_30
| ~ spl14_59 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s103,plain,
( ~ spl14_12
| spl14_13 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s105,plain,
( ~ spl14_13
| ~ spl14_30 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s111,plain,
( spl14_29
| spl14_30 ),
inference(rat,[],[s25,s59,s60,s66]) ).
cnf(s112,plain,
( ~ spl14_29
| spl14_30 ),
inference(rat,[],[s53,s59,s60,s52]) ).
cnf(s113,plain,
spl14_30,
inference(rat,[],[s112,s111]) ).
cnf(s114,plain,
~ spl14_13,
inference(rat,[],[s105,s113]) ).
cnf(s116,plain,
~ spl14_12,
inference(rat,[],[s103,s114]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s6,s114,s116]) ).
fof(f2150,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET104+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:43:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 6.88/2.41 % (2915850)Detected formulas, will run a generic FOF schedule.
% 6.88/2.41 % (2915898)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3189367602:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.88/2.41 % (2915901)dis-21_1_sil=8000:lcm=predicate:random_seed=1915460265: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)
% 6.88/2.41 % (2915898)Refutation not found, incomplete strategy
% 6.88/2.41 % (2915898)------------------------------
% 6.88/2.41 % (2915898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915898)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915898)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.41 % (2915898)Time elapsed: 0.002 s
% 6.88/2.41 % (2915898)Peak memory usage: 88 MB
% 6.88/2.41 % (2915898)Instructions burned: 1 (million)
% 6.88/2.41 % (2915901)Instruction limit reached!
% 6.88/2.41 % (2915901)------------------------------
% 6.88/2.41 % (2915901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915901)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915901)Termination reason: Instruction limit
% 6.88/2.41 % (2915901)Termination phase: Saturation
% 6.88/2.41 % (2915901)Time elapsed: 0.082 s
% 6.88/2.41 % (2915901)Peak memory usage: 89 MB
% 6.88/2.41 % (2915901)Instructions burned: 131 (million)
% 6.88/2.41 % (2915900)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=980018276:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.88/2.41 % (2915895)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=4256081718:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.88/2.41 % (2915899)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1488874520:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.88/2.41 % (2915897)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=1597981190:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.88/2.41 % (2915896)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=2605787041:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.88/2.41 % (2915899)Refutation not found, incomplete strategy
% 6.88/2.41 % (2915899)------------------------------
% 6.88/2.41 % (2915899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915899)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915899)Termination reason: Refutation not found, incomplete strategy
% 6.88/2.41 % (2915899)Time elapsed: 0.003 s
% 6.88/2.41 % (2915899)Peak memory usage: 87 MB
% 6.88/2.41 % (2915899)Instructions burned: 1 (million)
% 6.88/2.41 % (2915898)------------------------------
% 6.88/2.41 % (2915898)------------------------------
% 6.88/2.41 % (2915900)Instruction limit reached!
% 6.88/2.41 % (2915900)------------------------------
% 6.88/2.41 % (2915900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915900)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915900)Termination reason: Instruction limit
% 6.88/2.41 % (2915900)Termination phase: Saturation
% 6.88/2.41 % (2915900)Time elapsed: 0.159 s
% 6.88/2.41 % (2915900)Peak memory usage: 90 MB
% 6.88/2.41 % (2915900)Instructions burned: 139 (million)
% 6.88/2.41 % (2915911)lrs+10_1_sil=8000:sp=occurrence:random_seed=2740150406:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.88/2.41 % (2915914)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2202945719:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.88/2.41 % (2915899)------------------------------
% 6.88/2.41 % (2915899)------------------------------
% 6.88/2.41 % (2915914)Instruction limit reached!
% 6.88/2.41 % (2915914)------------------------------
% 6.88/2.41 % (2915914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915914)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915914)Termination reason: Instruction limit
% 6.88/2.41 % (2915914)Termination phase: Saturation
% 6.88/2.41 % (2915914)Time elapsed: 0.070 s
% 6.88/2.41 % (2915914)Peak memory usage: 89 MB
% 6.88/2.41 % (2915914)Instructions burned: 158 (million)
% 6.88/2.41 % (2915915)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4178036957:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.88/2.41 % (2915911)Instruction limit reached!
% 6.88/2.41 % (2915911)------------------------------
% 6.88/2.41 % (2915911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915911)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915911)Termination reason: Instruction limit
% 6.88/2.41 % (2915911)Termination phase: Saturation
% 6.88/2.41 % (2915911)Time elapsed: 0.286 s
% 6.88/2.41 % (2915911)Peak memory usage: 92 MB
% 6.88/2.41 % (2915911)Instructions burned: 285 (million)
% 6.88/2.41 % (2915923)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3585005024:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.88/2.41 % (2915922)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=1774683409:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.88/2.41 % (2915923)Instruction limit reached!
% 6.88/2.41 % (2915923)------------------------------
% 6.88/2.41 % (2915923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915923)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915923)Termination reason: Instruction limit
% 6.88/2.41 % (2915923)Termination phase: Saturation
% 6.88/2.41 % (2915923)Time elapsed: 0.132 s
% 6.88/2.41 % (2915923)Peak memory usage: 89 MB
% 6.88/2.41 % (2915923)Instructions burned: 295 (million)
% 6.88/2.41 % (2915915)Instruction limit reached!
% 6.88/2.41 % (2915915)------------------------------
% 6.88/2.41 % (2915915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915915)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915915)Termination reason: Instruction limit
% 6.88/2.41 % (2915915)Termination phase: Saturation
% 6.88/2.41 % (2915915)Time elapsed: 0.355 s
% 6.88/2.41 % (2915915)Peak memory usage: 92 MB
% 6.88/2.41 % (2915915)Instructions burned: 326 (million)
% 6.88/2.41 % (2915927)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2221238449:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 6.88/2.41 % (2915922)Instruction limit reached!
% 6.88/2.41 % (2915922)------------------------------
% 6.88/2.41 % (2915922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915922)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915922)Termination reason: Instruction limit
% 6.88/2.41 % (2915922)Termination phase: Saturation
% 6.88/2.41 % (2915922)Time elapsed: 0.206 s
% 6.88/2.41 % (2915922)Peak memory usage: 92 MB
% 6.88/2.41 % (2915922)Instructions burned: 249 (million)
% 6.88/2.41 % (2915895)First to succeed.
% 6.88/2.41 % (2915895)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2915850"
% 6.88/2.41 % (2915931)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=488519777:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 6.88/2.41 % (2915930)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1568721564:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 6.88/2.41 % (2915930)Instruction limit reached!
% 6.88/2.41 % (2915930)------------------------------
% 6.88/2.41 % (2915930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915930)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915930)Termination reason: Instruction limit
% 6.88/2.41 % (2915930)Termination phase: Saturation
% 6.88/2.41 % (2915930)Time elapsed: 0.075 s
% 6.88/2.41 % (2915930)Peak memory usage: 92 MB
% 6.88/2.41 % (2915930)Instructions burned: 114 (million)
% 6.88/2.41 % (2915933)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3093793466:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 6.88/2.41 % (2915931)Instruction limit reached!
% 6.88/2.41 % (2915931)------------------------------
% 6.88/2.41 % (2915931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915931)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915931)Termination reason: Instruction limit
% 6.88/2.41 % (2915931)Termination phase: Saturation
% 6.88/2.41 % (2915931)Time elapsed: 0.104 s
% 6.88/2.41 % (2915931)Peak memory usage: 89 MB
% 6.88/2.41 % (2915931)Instructions burned: 127 (million)
% 6.88/2.41 % (2915933)Instruction limit reached!
% 6.88/2.41 % (2915933)------------------------------
% 6.88/2.41 % (2915933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/2.41 % (2915933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/2.41 % (2915933)CaDiCaL version: 2.1.3
% 6.88/2.41 % (2915933)Termination reason: Instruction limit
% 6.88/2.41 % (2915933)Termination phase: Saturation
% 6.88/2.41 % (2915933)Time elapsed: 0.112 s
% 6.88/2.41 % (2915933)Peak memory usage: 88 MB
% 6.88/2.41 % (2915933)Instructions burned: 114 (million)
% 6.88/2.41 % (2915895)Refutation found. Thanks to Tanya!
% 6.88/2.41 % SZS status Theorem for theBenchmark
% 6.88/2.41 % SZS output start Proof for theBenchmark
% See solution above
% 11.42/2.72 % (2915895)------------------------------
% 11.42/2.72 % (2915895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.72 % (2915895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.72 % (2915895)CaDiCaL version: 2.1.3
% 11.42/2.72 % (2915895)Termination reason: Refutation
% 11.42/2.72 % (2915895)Time elapsed: 1.003 s
% 11.42/2.72 % (2915895)Peak memory usage: 131 MB
% 11.42/2.72 % (2915895)Instructions burned: 1126 (million)
% 11.42/2.72 % (2915895)------------------------------
% 11.42/2.72 % (2915895)------------------------------
% 11.42/2.72 % (2915850)Success in time 1.51 s
% 11.42/2.72 % Vampire exiting
%------------------------------------------------------------------------------