%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET066-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:39:54 PM UTC 2026
% Result : Unsatisfiable 5.93s 1.55s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 145 ( 17 unt; 12 def)
% Number of atoms : 383 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 418 ( 180 ~; 228 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f101,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_unordered_pair_1) ).
fof(f153,definition,
sF0 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f154,plain,
unordered_pair(x,y) = sF0,
inference(reorient_equations,[],[f153]) ).
fof(f155,definition,
sF1 = unordered_pair(y,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f156,plain,
unordered_pair(y,x) = sF1,
inference(reorient_equations,[],[f155]) ).
fof(f157,plain,
sF0 != sF1,
inference(definition_folding,[],[f101,f156,f154]) ).
fof(f158,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| y = X0 ),
inference(superposition,[],[f8,f154]) ).
fof(f159,plain,
! [X0] :
( ~ member(X0,sF1)
| y = X0
| x = X0 ),
inference(superposition,[],[f8,f156]) ).
fof(f161,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f154]) ).
fof(f162,plain,
( member(y,sF1)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f156]) ).
fof(f164,definition,
( spl2_1
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f165,plain,
( member(y,universal_class)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f166,plain,
( ~ member(y,universal_class)
| spl2_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl2_2
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f170,plain,
( member(y,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f162,f168,f164]) ).
fof(f173,definition,
( spl2_3
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f174,plain,
( member(x,universal_class)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( ~ member(x,universal_class)
| spl2_3 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f177,definition,
( spl2_4
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f179,plain,
( member(x,sF0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f161,f177,f173]) ).
fof(f184,plain,
( member(y,sF0)
| ~ member(y,universal_class) ),
inference(superposition,[],[f10,f154]) ).
fof(f185,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f10,f156]) ).
fof(f195,plain,
! [X0] :
( y = not_subclass_element(sF0,X0)
| x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ),
inference(resolution,[],[f158,f2]) ).
fof(f196,plain,
! [X0] :
( ~ member(y,X0)
| subclass(sF0,X0)
| x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ),
inference(superposition,[],[f3,f195]) ).
fof(f197,plain,
! [X0] :
( member(y,sF0)
| subclass(sF0,X0)
| x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ),
inference(superposition,[],[f2,f195]) ).
fof(f199,plain,
! [X0] :
( member(y,sF0)
| subclass(sF0,X0)
| x = not_subclass_element(sF0,X0) ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f200,plain,
! [X0] :
( x = not_subclass_element(sF0,X0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f202,definition,
( spl2_5
<=> ! [X0] :
( x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f203,plain,
( ! [X0] :
( x = not_subclass_element(sF0,X0)
| subclass(sF0,X0) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f210,definition,
( spl2_7
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f212,plain,
( member(y,sF0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl2_5
| spl2_7 ),
inference(avatar_split_clause,[],[f199,f210,f202]) ).
fof(f215,plain,
! [X0] :
( ~ member(x,X0)
| subclass(sF0,X0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(superposition,[],[f3,f200]) ).
fof(f216,plain,
! [X0] :
( member(x,sF0)
| subclass(sF0,X0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(superposition,[],[f2,f200]) ).
fof(f217,plain,
! [X0] :
( member(x,sF0)
| subclass(sF0,X0)
| ~ member(y,X0) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f218,plain,
! [X0] :
( ~ member(y,X0)
| subclass(sF0,X0)
| ~ member(x,X0) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f221,definition,
( spl2_8
<=> ! [X0] :
( subclass(sF0,X0)
| ~ member(y,X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f222,plain,
( ! [X0] :
( ~ member(y,X0)
| subclass(sF0,X0) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( spl2_8
| spl2_4 ),
inference(avatar_split_clause,[],[f217,f177,f221]) ).
fof(f226,plain,
! [X0] :
( y = not_subclass_element(sF1,X0)
| x = not_subclass_element(sF1,X0)
| subclass(sF1,X0) ),
inference(resolution,[],[f159,f2]) ).
fof(f227,plain,
! [X0] :
( ~ member(y,X0)
| subclass(sF1,X0)
| x = not_subclass_element(sF1,X0)
| subclass(sF1,X0) ),
inference(superposition,[],[f3,f226]) ).
fof(f228,plain,
! [X0] :
( member(y,sF1)
| subclass(sF1,X0)
| x = not_subclass_element(sF1,X0)
| subclass(sF1,X0) ),
inference(superposition,[],[f2,f226]) ).
fof(f230,plain,
! [X0] :
( member(y,sF1)
| subclass(sF1,X0)
| x = not_subclass_element(sF1,X0) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f231,plain,
! [X0] :
( x = not_subclass_element(sF1,X0)
| subclass(sF1,X0)
| ~ member(y,X0) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f233,definition,
( spl2_9
<=> ! [X0] :
( x = not_subclass_element(sF1,X0)
| subclass(sF1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f234,plain,
( ! [X0] :
( x = not_subclass_element(sF1,X0)
| subclass(sF1,X0) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,plain,
( spl2_9
| spl2_2 ),
inference(avatar_split_clause,[],[f230,f168,f233]) ).
fof(f239,plain,
! [X0] :
( ~ member(x,X0)
| subclass(sF1,X0)
| subclass(sF1,X0)
| ~ member(y,X0) ),
inference(superposition,[],[f3,f231]) ).
fof(f240,plain,
! [X0] :
( member(x,sF1)
| subclass(sF1,X0)
| subclass(sF1,X0)
| ~ member(y,X0) ),
inference(superposition,[],[f2,f231]) ).
fof(f241,plain,
! [X0] :
( member(x,sF1)
| subclass(sF1,X0)
| ~ member(y,X0) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ~ member(y,X0)
| subclass(sF1,X0)
| ~ member(x,X0) ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f245,definition,
( spl2_10
<=> ! [X0] :
( subclass(sF1,X0)
| ~ member(y,X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f246,plain,
( ! [X0] :
( ~ member(y,X0)
| subclass(sF1,X0) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,definition,
( spl2_11
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f250,plain,
( member(x,sF1)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl2_10
| spl2_11 ),
inference(avatar_split_clause,[],[f241,f248,f245]) ).
fof(f256,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_3 ),
inference(resolution,[],[f175,f1]) ).
fof(f257,plain,
( ! [X0] : ~ member(x,X0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f256,f4]) ).
fof(f258,plain,
( $false
| spl2_3
| ~ spl2_4 ),
inference(resolution,[],[f257,f179]) ).
fof(f262,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f269,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f166,f1]) ).
fof(f270,plain,
( ! [X0] : ~ member(y,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f269,f4]) ).
fof(f271,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(resolution,[],[f270,f170]) ).
fof(f275,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f358,plain,
( ! [X0] :
( member(x,sF0)
| subclass(sF0,X0)
| subclass(sF0,X0) )
| ~ spl2_5 ),
inference(superposition,[],[f2,f203]) ).
fof(f359,plain,
( ! [X0] :
( member(x,sF0)
| subclass(sF0,X0) )
| ~ spl2_5 ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f362,plain,
( ! [X0] : subclass(sF0,X0)
| spl2_3
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f359,f257]) ).
fof(f363,plain,
( ! [X0] :
( ~ subclass(X0,sF0)
| sF0 = X0 )
| spl2_3
| ~ spl2_5 ),
inference(resolution,[],[f362,f7]) ).
fof(f376,plain,
( ! [X0] :
( member(x,sF1)
| subclass(sF1,X0)
| subclass(sF1,X0) )
| ~ spl2_9 ),
inference(superposition,[],[f2,f234]) ).
fof(f377,plain,
( ! [X0] :
( member(x,sF1)
| subclass(sF1,X0) )
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f376]) ).
fof(f380,plain,
( ! [X0] : subclass(sF1,X0)
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f377,f257]) ).
fof(f382,plain,
( sF0 = sF1
| spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(resolution,[],[f380,f363]) ).
fof(f383,plain,
( $false
| spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f382,f157]) ).
fof(f384,plain,
( spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f385,plain,
( $false
| spl2_1
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f212,f270]) ).
fof(f386,plain,
( spl2_1
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f387,plain,
( member(y,sF0)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f184,f165]) ).
fof(f392,plain,
( spl2_7
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f387,f164,f210]) ).
fof(f393,plain,
( member(x,sF1)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f185,f174]) ).
fof(f394,plain,
( spl2_11
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f393,f173,f248]) ).
fof(f405,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF0,X0)
| subclass(sF0,X0) )
| ~ spl2_5 ),
inference(superposition,[],[f3,f203]) ).
fof(f408,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF0,X0) )
| ~ spl2_5 ),
inference(duplicate_literal_removal,[],[f405]) ).
fof(f411,plain,
( subclass(sF0,sF1)
| ~ spl2_5
| ~ spl2_11 ),
inference(resolution,[],[f408,f250]) ).
fof(f419,plain,
( ~ subclass(sF1,sF0)
| sF0 = sF1
| ~ spl2_5
| ~ spl2_11 ),
inference(resolution,[],[f411,f7]) ).
fof(f420,plain,
( ~ subclass(sF1,sF0)
| ~ spl2_5
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f419,f157]) ).
fof(f422,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF1,X0)
| subclass(sF1,X0) )
| ~ spl2_9 ),
inference(superposition,[],[f3,f234]) ).
fof(f425,plain,
( ! [X0] :
( ~ member(x,X0)
| subclass(sF1,X0) )
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f427,plain,
( subclass(sF1,sF0)
| ~ spl2_4
| ~ spl2_9 ),
inference(resolution,[],[f425,f179]) ).
fof(f436,plain,
( $false
| ~ spl2_4
| ~ spl2_5
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f427,f420]) ).
fof(f437,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_9
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f445,plain,
( subclass(sF0,sF1)
| ~ member(x,sF1)
| ~ spl2_2 ),
inference(resolution,[],[f170,f218]) ).
fof(f446,plain,
( subclass(sF0,sF1)
| ~ spl2_2
| ~ spl2_8 ),
inference(resolution,[],[f170,f222]) ).
fof(f449,plain,
( subclass(sF1,sF0)
| ~ member(x,sF0)
| ~ spl2_7 ),
inference(resolution,[],[f212,f242]) ).
fof(f461,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_3 ),
inference(resolution,[],[f175,f1]) ).
fof(f462,plain,
( ! [X0] : ~ member(x,X0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f461,f4]) ).
fof(f463,plain,
( $false
| spl2_3
| ~ spl2_11 ),
inference(resolution,[],[f462,f250]) ).
fof(f468,plain,
( spl2_3
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f470,plain,
( subclass(sF1,sF0)
| ~ spl2_7
| ~ spl2_10 ),
inference(resolution,[],[f246,f212]) ).
fof(f477,plain,
( ~ subclass(sF0,sF1)
| sF0 = sF1
| ~ spl2_7
| ~ spl2_10 ),
inference(resolution,[],[f470,f7]) ).
fof(f481,plain,
( sF0 = sF1
| ~ spl2_2
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f477,f446]) ).
fof(f482,plain,
( $false
| ~ spl2_2
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f481,f157]) ).
fof(f483,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f487,plain,
( subclass(sF0,sF1)
| ~ spl2_2
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f445,f250]) ).
fof(f490,plain,
( subclass(sF1,sF0)
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f449,f179]) ).
fof(f491,plain,
( ~ subclass(sF0,sF1)
| sF0 = sF1
| ~ spl2_4
| ~ spl2_7 ),
inference(resolution,[],[f490,f7]) ).
fof(f492,plain,
( sF0 = sF1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f491,f487]) ).
fof(f493,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f492,f157]) ).
fof(f494,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f493]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f171]) ).
cnf(s2,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f180]) ).
cnf(s4,plain,
( spl2_5
| spl2_7 ),
inference(sat_conversion,[],[f213]) ).
cnf(s5,plain,
( spl2_4
| spl2_8 ),
inference(sat_conversion,[],[f223]) ).
cnf(s7,plain,
( spl2_2
| spl2_9 ),
inference(sat_conversion,[],[f236]) ).
cnf(s8,plain,
( spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f251]) ).
cnf(s9,plain,
( spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f262]) ).
cnf(s10,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f275]) ).
cnf(s13,plain,
( spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(sat_conversion,[],[f384]) ).
cnf(s14,plain,
( spl2_1
| ~ spl2_7 ),
inference(sat_conversion,[],[f386]) ).
cnf(s15,plain,
( ~ spl2_1
| spl2_7 ),
inference(sat_conversion,[],[f392]) ).
cnf(s16,plain,
( ~ spl2_3
| spl2_11 ),
inference(sat_conversion,[],[f394]) ).
cnf(s17,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_9
| ~ spl2_11 ),
inference(sat_conversion,[],[f437]) ).
cnf(s20,plain,
( spl2_3
| ~ spl2_11 ),
inference(sat_conversion,[],[f468]) ).
cnf(s22,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_8
| ~ spl2_10 ),
inference(sat_conversion,[],[f483]) ).
cnf(s24,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_11 ),
inference(sat_conversion,[],[f494]) ).
cnf(s25,plain,
( ~ spl2_5
| ~ spl2_9 ),
inference(rat,[],[s17,s2,s16,s13]) ).
cnf(s26,plain,
spl2_1,
inference(rat,[],[s25,s7,s4,s10,s14]) ).
cnf(s27,plain,
spl2_7,
inference(rat,[],[s15,s26]) ).
cnf(s28,plain,
spl2_2,
inference(rat,[],[s1,s26]) ).
cnf(s29,plain,
~ spl2_3,
inference(rat,[],[s24,s2,s16,s27,s28]) ).
cnf(s30,plain,
~ spl2_11,
inference(rat,[],[s20,s29]) ).
cnf(s31,plain,
~ spl2_4,
inference(rat,[],[s9,s29]) ).
cnf(s32,plain,
spl2_10,
inference(rat,[],[s8,s30]) ).
cnf(s33,plain,
spl2_8,
inference(rat,[],[s5,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s22,s28,s27,s32,s33]) ).
fof(f495,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET066-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 00:28:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.93/1.55 % (1755790)Input is clausal, will run a generic CNF schedule.
% 5.93/1.55 % (1755800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2960433347:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.93/1.55 % (1755798)lrs+10_1_sil=8000:sp=occurrence:random_seed=1428940709:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.93/1.55 % (1755796)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3505069484:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.93/1.55 % (1755795)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=187312218:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.93/1.55 % (1755799)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2407344800:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.93/1.55 % (1755801)dis-21_1_sil=8000:lcm=predicate:random_seed=1151040875:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.93/1.55 % (1755797)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=606022973:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.93/1.55 % (1755798)Refutation not found, incomplete strategy
% 5.93/1.55 % (1755798)------------------------------
% 5.93/1.55 % (1755798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755798)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755798)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.55 % (1755798)Time elapsed: 0.001 s
% 5.93/1.55 % (1755798)Peak memory usage: 88 MB
% 5.93/1.55 % (1755798)Instructions burned: 1 (million)
% 5.93/1.55 % (1755801)Instruction limit reached!
% 5.93/1.55 % (1755801)------------------------------
% 5.93/1.55 % (1755801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755801)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755801)Termination reason: Instruction limit
% 5.93/1.55 % (1755801)Termination phase: Saturation
% 5.93/1.55 % (1755801)Time elapsed: 0.064 s
% 5.93/1.55 % (1755801)Peak memory usage: 89 MB
% 5.93/1.55 % (1755801)Instructions burned: 118 (million)
% 5.93/1.55 % (1755799)Instruction limit reached!
% 5.93/1.55 % (1755799)------------------------------
% 5.93/1.55 % (1755799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755799)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755799)Termination reason: Instruction limit
% 5.93/1.55 % (1755799)Termination phase: Saturation
% 5.93/1.55 % (1755799)Time elapsed: 0.065 s
% 5.93/1.55 % (1755799)Peak memory usage: 88 MB
% 5.93/1.55 % (1755799)Instructions burned: 115 (million)
% 5.93/1.55 % (1755800)Instruction limit reached!
% 5.93/1.55 % (1755800)------------------------------
% 5.93/1.55 % (1755800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755800)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755800)Termination reason: Instruction limit
% 5.93/1.55 % (1755800)Termination phase: Saturation
% 5.93/1.55 % (1755800)Time elapsed: 0.070 s
% 5.93/1.55 % (1755800)Peak memory usage: 90 MB
% 5.93/1.55 % (1755800)Instructions burned: 181 (million)
% 5.93/1.55 % (1755809)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3071965387:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.93/1.55 % (1755809)Refutation not found, incomplete strategy
% 5.93/1.55 % (1755809)------------------------------
% 5.93/1.55 % (1755809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755809)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755809)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.55 % (1755809)Time elapsed: 0.001 s
% 5.93/1.55 % (1755809)Peak memory usage: 88 MB
% 5.93/1.55 % (1755809)Instructions burned: 1 (million)
% 5.93/1.55 % (1755811)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2759089190:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.93/1.55 % (1755810)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3554875414:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.93/1.55 % (1755811)Refutation not found, incomplete strategy
% 5.93/1.55 % (1755811)------------------------------
% 5.93/1.55 % (1755811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755811)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755811)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.55 % (1755811)Time elapsed: 0.003 s
% 5.93/1.55 % (1755811)Peak memory usage: 88 MB
% 5.93/1.55 % (1755811)Instructions burned: 3 (million)
% 5.93/1.55 % (1755798)------------------------------
% 5.93/1.55 % (1755798)------------------------------
% 5.93/1.55 % (1755810)Instruction limit reached!
% 5.93/1.55 % (1755810)------------------------------
% 5.93/1.55 % (1755810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755810)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755810)Termination reason: Instruction limit
% 5.93/1.55 % (1755810)Termination phase: Saturation
% 5.93/1.55 % (1755810)Time elapsed: 0.104 s
% 5.93/1.55 % (1755810)Peak memory usage: 91 MB
% 5.93/1.55 % (1755810)Instructions burned: 190 (million)
% 5.93/1.55 % (1755809)------------------------------
% 5.93/1.55 % (1755809)------------------------------
% 5.93/1.55 % (1755815)lrs+10_64_to=lpo:sil=8000:random_seed=1050755155:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.93/1.55 % (1755817)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4006984769:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.93/1.55 % (1755811)------------------------------
% 5.93/1.55 % (1755811)------------------------------
% 5.93/1.55 % (1755815)Instruction limit reached!
% 5.93/1.55 % (1755815)------------------------------
% 5.93/1.55 % (1755815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755815)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755815)Termination reason: Instruction limit
% 5.93/1.55 % (1755815)Termination phase: Saturation
% 5.93/1.55 % (1755815)Time elapsed: 0.080 s
% 5.93/1.55 % (1755815)Peak memory usage: 89 MB
% 5.93/1.55 % (1755815)Instructions burned: 126 (million)
% 5.93/1.55 % (1755816)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1093042288:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.93/1.55 % (1755817)Instruction limit reached!
% 5.93/1.55 % (1755817)------------------------------
% 5.93/1.55 % (1755817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755817)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755817)Termination reason: Instruction limit
% 5.93/1.55 % (1755817)Termination phase: Saturation
% 5.93/1.55 % (1755817)Time elapsed: 0.102 s
% 5.93/1.55 % (1755817)Peak memory usage: 90 MB
% 5.93/1.55 % (1755817)Instructions burned: 157 (million)
% 5.93/1.55 % (1755797)First to succeed.
% 5.93/1.55 % (1755797)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1755790"
% 5.93/1.55 % (1755816)Instruction limit reached!
% 5.93/1.55 % (1755816)------------------------------
% 5.93/1.55 % (1755816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755816)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755816)Termination reason: Instruction limit
% 5.93/1.55 % (1755816)Termination phase: Saturation
% 5.93/1.55 % (1755816)Time elapsed: 0.121 s
% 5.93/1.55 % (1755816)Peak memory usage: 89 MB
% 5.93/1.55 % (1755816)Instructions burned: 194 (million)
% 5.93/1.55 % (1755820)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1317781909:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.93/1.55 % (1755822)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2931001952:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.93/1.55 % (1755795)Also succeeded, but the first one will report.
% 5.93/1.55 % (1755822)Instruction limit reached!
% 5.93/1.55 % (1755822)------------------------------
% 5.93/1.55 % (1755822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755822)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755822)Termination reason: Instruction limit
% 5.93/1.55 % (1755822)Termination phase: Saturation
% 5.93/1.55 % (1755822)Time elapsed: 0.064 s
% 5.93/1.55 % (1755822)Peak memory usage: 90 MB
% 5.93/1.55 % (1755822)Instructions burned: 107 (million)
% 5.93/1.55 % (1755823)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3355310033:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 5.93/1.55 % (1755823)Refutation not found, incomplete strategy
% 5.93/1.55 % (1755823)------------------------------
% 5.93/1.55 % (1755823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.55 % (1755823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.55 % (1755823)CaDiCaL version: 2.1.3
% 5.93/1.55 % (1755823)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.55 % (1755823)Time elapsed: 0.005 s
% 5.93/1.55 % (1755823)Peak memory usage: 88 MB
% 5.93/1.55 % (1755823)Instructions burned: 7 (million)
% 5.93/1.55 % (1755797)Refutation found. Thanks to Tanya!
% 5.93/1.55 % SZS status Unsatisfiable for theBenchmark
% 5.93/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.72 % (1755797)------------------------------
% 7.00/1.72 % (1755797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.72 % (1755797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.72 % (1755797)CaDiCaL version: 2.1.3
% 7.00/1.72 % (1755797)Termination reason: Refutation
% 7.00/1.72 % (1755797)Time elapsed: 0.610 s
% 7.00/1.72 % (1755797)Peak memory usage: 129 MB
% 7.00/1.72 % (1755797)Instructions burned: 1020 (million)
% 7.00/1.72 % (1755797)------------------------------
% 7.00/1.72 % (1755797)------------------------------
% 7.00/1.72 % (1755790)Success in time 0.943 s
% 7.00/1.72 % Vampire exiting
%------------------------------------------------------------------------------