%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET128-6 : 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 : n026.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 12:40:14 PM UTC 2026
% Result : Unsatisfiable 8.11s 2.15s
% Output : Refutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 45
% Syntax : Number of formulae : 223 ( 55 unt; 29 def)
% Number of atoms : 542 ( 65 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 599 ( 280 ~; 310 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 25 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 121 !; 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(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
union(singleton(x),union(singleton(y),singleton(z))) != set_builder(x,set_builder(y,set_builder(z,null_class))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_building_a_triple_1) ).
fof(f108,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f152,plain,
complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(unordered_pair(z,z))))))) != complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
inference(definition_unfolding,[],[f102,f26,f12,f26,f12,f12,f108,f108,f108]) ).
fof(f156,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f157,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f156]) ).
fof(f158,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f159,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF2 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f161,plain,
unordered_pair(y,y) = sF2,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f163,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF4 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f165,plain,
unordered_pair(z,z) = sF4,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f167,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF6 = intersection(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f169,plain,
intersection(sF3,sF5) = sF6,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f171,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f173,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f172]) ).
fof(f174,definition,
sF9 = intersection(sF1,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f175,plain,
intersection(sF1,sF8) = sF9,
inference(reorient_equations,[],[f174]) ).
fof(f176,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f177,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f176]) ).
fof(f178,definition,
sF11 = complement(null_class),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f179,plain,
complement(null_class) = sF11,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF12 = intersection(sF5,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f181,plain,
intersection(sF5,sF11) = sF12,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f183,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f182]) ).
fof(f184,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f185,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f184]) ).
fof(f186,definition,
sF15 = intersection(sF3,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f187,plain,
intersection(sF3,sF14) = sF15,
inference(reorient_equations,[],[f186]) ).
fof(f188,definition,
sF16 = complement(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f189,plain,
complement(sF15) = sF16,
inference(reorient_equations,[],[f188]) ).
fof(f190,definition,
sF17 = complement(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f191,plain,
complement(sF16) = sF17,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF18 = intersection(sF1,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f193,plain,
intersection(sF1,sF17) = sF18,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF19 = complement(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f195,plain,
complement(sF18) = sF19,
inference(reorient_equations,[],[f194]) ).
fof(f196,plain,
sF10 != sF19,
inference(definition_folding,[],[f152,f195,f193,f191,f189,f187,f185,f183,f181,f179,f167,f165,f163,f161,f159,f157,f177,f175,f173,f171,f169,f167,f165,f163,f161,f159,f157]) ).
fof(f197,plain,
! [X0] :
( member(X0,sF11)
| ~ member(X0,sF12) ),
inference(superposition,[],[f22,f181]) ).
fof(f198,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF12) ),
inference(superposition,[],[f21,f181]) ).
fof(f199,plain,
! [X0] :
( member(X0,sF8)
| ~ member(X0,sF9) ),
inference(superposition,[],[f22,f175]) ).
fof(f200,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF9) ),
inference(superposition,[],[f21,f175]) ).
fof(f201,plain,
! [X0] :
( member(X0,sF17)
| ~ member(X0,sF18) ),
inference(superposition,[],[f22,f193]) ).
fof(f202,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF18) ),
inference(superposition,[],[f21,f193]) ).
fof(f203,plain,
! [X0] :
( member(X0,sF14)
| ~ member(X0,sF15) ),
inference(superposition,[],[f22,f187]) ).
fof(f204,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF15) ),
inference(superposition,[],[f21,f187]) ).
fof(f205,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF6) ),
inference(superposition,[],[f22,f169]) ).
fof(f206,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF6) ),
inference(superposition,[],[f21,f169]) ).
fof(f207,plain,
! [X0] :
( ~ member(X0,sF10)
| ~ member(X0,sF9) ),
inference(superposition,[],[f24,f177]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,sF19)
| ~ member(X0,sF18) ),
inference(superposition,[],[f24,f195]) ).
fof(f210,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(superposition,[],[f25,f177]) ).
fof(f211,plain,
! [X0] :
( member(X0,sF19)
| ~ member(X0,universal_class)
| member(X0,sF18) ),
inference(superposition,[],[f25,f195]) ).
fof(f212,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,universal_class)
| member(X0,sF0) ),
inference(superposition,[],[f25,f159]) ).
fof(f213,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f24,f159]) ).
fof(f214,plain,
! [X0] :
( member(X0,sF17)
| ~ member(X0,universal_class)
| member(X0,sF16) ),
inference(superposition,[],[f25,f191]) ).
fof(f215,plain,
! [X0] :
( ~ member(X0,sF17)
| ~ member(X0,sF16) ),
inference(superposition,[],[f24,f191]) ).
fof(f216,plain,
! [X0] :
( member(X0,sF14)
| ~ member(X0,universal_class)
| member(X0,sF13) ),
inference(superposition,[],[f25,f185]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,sF14)
| ~ member(X0,sF13) ),
inference(superposition,[],[f24,f185]) ).
fof(f218,plain,
! [X0] :
( member(X0,sF16)
| ~ member(X0,universal_class)
| member(X0,sF15) ),
inference(superposition,[],[f25,f189]) ).
fof(f219,plain,
! [X0] :
( ~ member(X0,sF16)
| ~ member(X0,sF15) ),
inference(superposition,[],[f24,f189]) ).
fof(f222,plain,
! [X0] :
( member(X0,sF8)
| ~ member(X0,universal_class)
| member(X0,sF7) ),
inference(superposition,[],[f25,f173]) ).
fof(f223,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,sF7) ),
inference(superposition,[],[f24,f173]) ).
fof(f224,plain,
! [X0] :
( member(X0,sF13)
| ~ member(X0,universal_class)
| member(X0,sF12) ),
inference(superposition,[],[f25,f183]) ).
fof(f225,plain,
! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,sF12) ),
inference(superposition,[],[f24,f183]) ).
fof(f226,plain,
! [X0] :
( member(X0,sF7)
| ~ member(X0,universal_class)
| member(X0,sF6) ),
inference(superposition,[],[f25,f171]) ).
fof(f227,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f24,f171]) ).
fof(f232,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f157]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f238,plain,
! [X0] :
( member(X0,sF12)
| ~ member(X0,sF11)
| ~ member(X0,sF5) ),
inference(superposition,[],[f23,f181]) ).
fof(f239,plain,
! [X0] :
( member(X0,sF9)
| ~ member(X0,sF8)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f175]) ).
fof(f240,plain,
! [X0] :
( member(X0,sF18)
| ~ member(X0,sF17)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f193]) ).
fof(f241,plain,
! [X0] :
( member(X0,sF15)
| ~ member(X0,sF14)
| ~ member(X0,sF3) ),
inference(superposition,[],[f23,f187]) ).
fof(f242,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF5)
| ~ member(X0,sF3) ),
inference(superposition,[],[f23,f169]) ).
fof(f247,plain,
! [X0] :
( ~ member(not_subclass_element(sF10,X0),sF9)
| subclass(sF10,X0) ),
inference(resolution,[],[f2,f207]) ).
fof(f248,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF18)
| subclass(sF19,X0) ),
inference(resolution,[],[f2,f208]) ).
fof(f249,plain,
! [X0] :
( ~ member(not_subclass_element(sF10,X0),sF8)
| subclass(sF10,X0)
| ~ member(not_subclass_element(sF10,X0),sF1) ),
inference(resolution,[],[f247,f239]) ).
fof(f250,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF17)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF1) ),
inference(resolution,[],[f248,f240]) ).
fof(f251,plain,
! [X0] :
( member(X0,sF11)
| ~ member(X0,universal_class)
| member(X0,null_class) ),
inference(superposition,[],[f25,f179]) ).
fof(f252,plain,
! [X0] :
( ~ member(X0,sF11)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f179]) ).
fof(f267,definition,
( spl20_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f268,plain,
( member(x,universal_class)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( ~ member(x,universal_class)
| spl20_1 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f302,plain,
! [X0] :
( ~ member(X0,sF15)
| ~ member(X0,sF13) ),
inference(resolution,[],[f203,f217]) ).
fof(f306,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF7) ),
inference(resolution,[],[f199,f223]) ).
fof(f311,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF0) ),
inference(resolution,[],[f200,f213]) ).
fof(f317,plain,
! [X0] :
( ~ member(X0,sF18)
| ~ member(X0,sF16) ),
inference(resolution,[],[f201,f215]) ).
fof(f330,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f350,plain,
! [X0] :
( ~ member(X0,sF12)
| ~ member(X0,null_class) ),
inference(resolution,[],[f252,f197]) ).
fof(f355,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF18)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| subclass(X0,sF19) ),
inference(resolution,[],[f211,f3]) ).
fof(f357,plain,
! [X0] :
( member(not_subclass_element(X0,sF10),sF9)
| ~ member(not_subclass_element(X0,sF10),universal_class)
| subclass(X0,sF10) ),
inference(resolution,[],[f210,f3]) ).
fof(f390,plain,
! [X0] :
( member(not_subclass_element(sF10,X0),sF7)
| ~ member(not_subclass_element(sF10,X0),universal_class)
| subclass(sF10,X0)
| ~ member(not_subclass_element(sF10,X0),sF1) ),
inference(resolution,[],[f222,f249]) ).
fof(f393,plain,
! [X0] :
( ~ member(not_subclass_element(sF10,X0),sF6)
| subclass(sF10,X0)
| ~ member(not_subclass_element(sF10,X0),sF1)
| ~ member(not_subclass_element(sF10,X0),universal_class) ),
inference(resolution,[],[f390,f227]) ).
fof(f408,plain,
! [X0] :
( ~ member(not_subclass_element(sF10,X0),sF5)
| ~ member(not_subclass_element(sF10,X0),sF1)
| ~ member(not_subclass_element(sF10,X0),universal_class)
| subclass(sF10,X0)
| ~ member(not_subclass_element(sF10,X0),sF3) ),
inference(resolution,[],[f393,f242]) ).
fof(f410,plain,
! [X0] :
( ~ member(not_subclass_element(sF10,X0),sF12)
| ~ member(not_subclass_element(sF10,X0),universal_class)
| subclass(sF10,X0)
| ~ member(not_subclass_element(sF10,X0),sF3)
| ~ member(not_subclass_element(sF10,X0),sF1) ),
inference(resolution,[],[f408,f198]) ).
fof(f418,plain,
! [X0] :
( member(not_subclass_element(sF19,X0),sF16)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF1) ),
inference(resolution,[],[f214,f250]) ).
fof(f421,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF15)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF1)
| ~ member(not_subclass_element(sF19,X0),universal_class) ),
inference(resolution,[],[f418,f219]) ).
fof(f436,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF14)
| ~ member(not_subclass_element(sF19,X0),sF1)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF3) ),
inference(resolution,[],[f421,f241]) ).
fof(f438,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF1)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| member(not_subclass_element(sF19,X0),sF13) ),
inference(resolution,[],[f436,f216]) ).
fof(f441,plain,
! [X0] :
( member(not_subclass_element(sF19,X0),sF13)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),sF1) ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f443,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF12)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),sF1)
| ~ member(not_subclass_element(sF19,X0),universal_class) ),
inference(resolution,[],[f441,f225]) ).
fof(f462,plain,
! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF11)
| ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),sF1)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF5) ),
inference(resolution,[],[f443,f238]) ).
fof(f500,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF0)
| subclass(X0,sF10)
| ~ member(not_subclass_element(X0,sF10),universal_class) ),
inference(resolution,[],[f357,f311]) ).
fof(f501,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF7)
| subclass(X0,sF10)
| ~ member(not_subclass_element(X0,sF10),universal_class) ),
inference(resolution,[],[f357,f306]) ).
fof(f505,plain,
! [X0] :
( subclass(X0,sF10)
| ~ member(not_subclass_element(X0,sF10),universal_class)
| ~ member(not_subclass_element(X0,sF10),universal_class)
| member(not_subclass_element(X0,sF10),sF6) ),
inference(resolution,[],[f501,f226]) ).
fof(f507,plain,
! [X0] :
( member(not_subclass_element(X0,sF10),sF6)
| ~ member(not_subclass_element(X0,sF10),universal_class)
| subclass(X0,sF10) ),
inference(duplicate_literal_removal,[],[f505]) ).
fof(f562,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF19),sF16)
| subclass(X0,sF19)
| ~ member(not_subclass_element(X0,sF19),universal_class) ),
inference(resolution,[],[f355,f317]) ).
fof(f567,plain,
! [X0] :
( subclass(X0,sF19)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| member(not_subclass_element(X0,sF19),sF15) ),
inference(resolution,[],[f562,f218]) ).
fof(f569,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF15)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| subclass(X0,sF19) ),
inference(duplicate_literal_removal,[],[f567]) ).
fof(f582,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF19),sF13)
| subclass(X0,sF19)
| ~ member(not_subclass_element(X0,sF19),universal_class) ),
inference(resolution,[],[f569,f302]) ).
fof(f599,plain,
! [X0] :
( subclass(X0,sF19)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| member(not_subclass_element(X0,sF19),sF12) ),
inference(resolution,[],[f582,f224]) ).
fof(f601,plain,
! [X0] :
( member(not_subclass_element(X0,sF19),sF12)
| ~ member(not_subclass_element(X0,sF19),universal_class)
| subclass(X0,sF19) ),
inference(duplicate_literal_removal,[],[f599]) ).
fof(f613,plain,
( ~ member(not_subclass_element(sF10,sF19),universal_class)
| subclass(sF10,sF19)
| ~ member(not_subclass_element(sF10,sF19),universal_class)
| subclass(sF10,sF19)
| ~ member(not_subclass_element(sF10,sF19),sF3)
| ~ member(not_subclass_element(sF10,sF19),sF1) ),
inference(resolution,[],[f601,f410]) ).
fof(f618,plain,
( ~ member(not_subclass_element(sF10,sF19),universal_class)
| subclass(sF10,sF19)
| ~ member(not_subclass_element(sF10,sF19),sF3)
| ~ member(not_subclass_element(sF10,sF19),sF1) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f620,definition,
( spl20_35
<=> member(not_subclass_element(sF10,sF19),sF1) ),
introduced(definition,[new_symbols(definition,[spl20_35])],[avatar_definition]) ).
fof(f622,plain,
( ~ member(not_subclass_element(sF10,sF19),sF1)
| spl20_35 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f624,definition,
( spl20_36
<=> member(not_subclass_element(sF10,sF19),sF3) ),
introduced(definition,[new_symbols(definition,[spl20_36])],[avatar_definition]) ).
fof(f626,plain,
( ~ member(not_subclass_element(sF10,sF19),sF3)
| spl20_36 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,definition,
( spl20_37
<=> subclass(sF10,sF19) ),
introduced(definition,[new_symbols(definition,[spl20_37])],[avatar_definition]) ).
fof(f629,plain,
( ~ subclass(sF10,sF19)
| spl20_37 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( subclass(sF10,sF19)
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f632,definition,
( spl20_38
<=> member(not_subclass_element(sF10,sF19),universal_class) ),
introduced(definition,[new_symbols(definition,[spl20_38])],[avatar_definition]) ).
fof(f633,plain,
( member(not_subclass_element(sF10,sF19),universal_class)
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( ~ member(not_subclass_element(sF10,sF19),universal_class)
| spl20_38 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f635,plain,
( ~ spl20_35
| ~ spl20_36
| spl20_37
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f618,f632,f628,f624,f620]) ).
fof(f650,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF10,sF19),X0)
| ~ subclass(X0,universal_class) )
| spl20_38 ),
inference(resolution,[],[f634,f1]) ).
fof(f651,plain,
( ! [X0] : ~ member(not_subclass_element(sF10,sF19),X0)
| spl20_38 ),
inference(forward_subsumption_resolution,[],[f650,f4]) ).
fof(f652,plain,
( subclass(sF10,sF19)
| spl20_38 ),
inference(resolution,[],[f651,f2]) ).
fof(f689,plain,
( spl20_37
| spl20_38 ),
inference(avatar_split_clause,[],[f652,f632,f628]) ).
fof(f690,plain,
( ~ subclass(sF19,sF10)
| sF10 = sF19
| ~ spl20_37 ),
inference(resolution,[],[f630,f7]) ).
fof(f691,plain,
( ~ subclass(sF19,sF10)
| ~ spl20_37 ),
inference(forward_subsumption_resolution,[],[f690,f196]) ).
fof(f822,definition,
( spl20_61
<=> null_class = sF12 ),
introduced(definition,[new_symbols(definition,[spl20_61])],[avatar_definition]) ).
fof(f824,plain,
( null_class = sF12
| ~ spl20_61 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1167,definition,
( spl20_87
<=> member(not_subclass_element(sF19,sF10),universal_class) ),
introduced(definition,[new_symbols(definition,[spl20_87])],[avatar_definition]) ).
fof(f1168,plain,
( member(not_subclass_element(sF19,sF10),universal_class)
| ~ spl20_87 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1169,plain,
( ~ member(not_subclass_element(sF19,sF10),universal_class)
| spl20_87 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1171,definition,
( spl20_88
<=> member(not_subclass_element(sF19,sF10),sF1) ),
introduced(definition,[new_symbols(definition,[spl20_88])],[avatar_definition]) ).
fof(f1173,plain,
( ~ member(not_subclass_element(sF19,sF10),sF1)
| spl20_88 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1175,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF19,sF10),X0)
| ~ subclass(X0,universal_class) )
| spl20_87 ),
inference(resolution,[],[f1169,f1]) ).
fof(f1176,plain,
( ! [X0] : ~ member(not_subclass_element(sF19,sF10),X0)
| spl20_87 ),
inference(forward_subsumption_resolution,[],[f1175,f4]) ).
fof(f1177,plain,
( subclass(sF19,sF10)
| spl20_87 ),
inference(resolution,[],[f1176,f2]) ).
fof(f1199,plain,
( $false
| ~ spl20_37
| spl20_87 ),
inference(forward_subsumption_resolution,[],[f1177,f691]) ).
fof(f1200,plain,
( ~ spl20_37
| spl20_87 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1212,plain,
( ~ member(not_subclass_element(sF10,sF19),sF18)
| spl20_35 ),
inference(resolution,[],[f622,f202]) ).
fof(f1215,plain,
( ~ member(not_subclass_element(sF10,sF19),universal_class)
| subclass(sF10,sF19)
| spl20_35 ),
inference(resolution,[],[f1212,f355]) ).
fof(f1218,plain,
( subclass(sF10,sF19)
| spl20_35
| ~ spl20_38 ),
inference(forward_subsumption_resolution,[],[f1215,f633]) ).
fof(f1219,plain,
( $false
| spl20_35
| spl20_37
| ~ spl20_38 ),
inference(forward_subsumption_resolution,[],[f1218,f629]) ).
fof(f1220,plain,
( spl20_35
| spl20_37
| ~ spl20_38 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1297,plain,
( ~ member(not_subclass_element(sF10,sF19),sF15)
| spl20_36 ),
inference(resolution,[],[f204,f626]) ).
fof(f1298,plain,
( ~ member(not_subclass_element(sF10,sF19),universal_class)
| subclass(sF10,sF19)
| spl20_36 ),
inference(resolution,[],[f1297,f569]) ).
fof(f1301,plain,
( subclass(sF10,sF19)
| spl20_36
| ~ spl20_38 ),
inference(forward_subsumption_resolution,[],[f1298,f633]) ).
fof(f1302,plain,
( $false
| spl20_36
| spl20_37
| ~ spl20_38 ),
inference(forward_subsumption_resolution,[],[f1301,f629]) ).
fof(f1303,plain,
( spl20_36
| spl20_37
| ~ spl20_38 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1304,plain,
( ~ subclass(sF19,sF10)
| sF10 = sF19
| ~ spl20_37 ),
inference(resolution,[],[f630,f7]) ).
fof(f1305,plain,
( ~ subclass(sF19,sF10)
| ~ spl20_37 ),
inference(forward_subsumption_resolution,[],[f1304,f196]) ).
fof(f1518,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = sF12
| ~ member(X0,null_class) ),
inference(resolution,[],[f330,f350]) ).
fof(f1542,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = sF12 ),
inference(duplicate_literal_removal,[],[f1518]) ).
fof(f1583,definition,
( spl20_102
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(definition,[new_symbols(definition,[spl20_102])],[avatar_definition]) ).
fof(f1584,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl20_102 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1585,plain,
( spl20_61
| spl20_102 ),
inference(avatar_split_clause,[],[f1542,f1583,f822]) ).
fof(f1680,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) )
| ~ spl20_61 ),
inference(backward_demodulation,[],[f350,f824]) ).
fof(f1696,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl20_61 ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1859,plain,
( spl20_102
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f1696,f822,f1583]) ).
fof(f2924,plain,
( ! [X0] :
( member(X0,sF11)
| ~ member(X0,universal_class) )
| ~ spl20_102 ),
inference(forward_subsumption_resolution,[],[f251,f1584]) ).
fof(f3175,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF19,X0),universal_class)
| ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),sF1)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),sF5) )
| ~ spl20_102 ),
inference(resolution,[],[f2924,f462]) ).
fof(f3177,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF5)
| ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),sF1)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),universal_class) )
| ~ spl20_102 ),
inference(duplicate_literal_removal,[],[f3175]) ).
fof(f3179,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF3)
| ~ member(not_subclass_element(sF19,X0),sF1)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| ~ member(not_subclass_element(sF19,X0),sF6) )
| ~ spl20_102 ),
inference(resolution,[],[f3177,f205]) ).
fof(f3183,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF19,X0),sF6)
| subclass(sF19,X0)
| ~ member(not_subclass_element(sF19,X0),universal_class)
| ~ member(not_subclass_element(sF19,X0),sF1) )
| ~ spl20_102 ),
inference(forward_subsumption_resolution,[],[f3179,f206]) ).
fof(f3184,plain,
( subclass(sF19,sF10)
| ~ member(not_subclass_element(sF19,sF10),universal_class)
| ~ member(not_subclass_element(sF19,sF10),sF1)
| ~ member(not_subclass_element(sF19,sF10),universal_class)
| subclass(sF19,sF10)
| ~ spl20_102 ),
inference(resolution,[],[f3183,f507]) ).
fof(f3188,plain,
( subclass(sF19,sF10)
| ~ member(not_subclass_element(sF19,sF10),universal_class)
| ~ member(not_subclass_element(sF19,sF10),sF1)
| ~ spl20_102 ),
inference(duplicate_literal_removal,[],[f3184]) ).
fof(f3189,plain,
( ~ member(not_subclass_element(sF19,sF10),universal_class)
| ~ member(not_subclass_element(sF19,sF10),sF1)
| ~ spl20_37
| ~ spl20_102 ),
inference(forward_subsumption_resolution,[],[f3188,f1305]) ).
fof(f3190,plain,
( ~ member(not_subclass_element(sF19,sF10),sF1)
| ~ spl20_37
| ~ spl20_87
| ~ spl20_102 ),
inference(forward_subsumption_resolution,[],[f3189,f1168]) ).
fof(f3191,plain,
( ~ spl20_88
| ~ spl20_37
| ~ spl20_87
| ~ spl20_102 ),
inference(avatar_split_clause,[],[f3190,f1583,f1167,f628,f1171]) ).
fof(f3192,plain,
( ~ member(not_subclass_element(sF19,sF10),universal_class)
| member(not_subclass_element(sF19,sF10),sF0)
| spl20_88 ),
inference(resolution,[],[f1173,f212]) ).
fof(f3197,plain,
( member(not_subclass_element(sF19,sF10),sF0)
| ~ spl20_87
| spl20_88 ),
inference(forward_subsumption_resolution,[],[f3192,f1168]) ).
fof(f3198,plain,
( subclass(sF19,sF10)
| ~ member(not_subclass_element(sF19,sF10),universal_class)
| ~ spl20_87
| spl20_88 ),
inference(resolution,[],[f3197,f500]) ).
fof(f3199,plain,
( x = not_subclass_element(sF19,sF10)
| ~ spl20_87
| spl20_88 ),
inference(resolution,[],[f3197,f233]) ).
fof(f3205,plain,
( member(x,universal_class)
| ~ spl20_87
| spl20_88 ),
inference(backward_demodulation,[],[f1168,f3199]) ).
fof(f3206,plain,
( ~ member(not_subclass_element(sF19,sF10),universal_class)
| ~ spl20_37
| ~ spl20_87
| spl20_88 ),
inference(forward_subsumption_resolution,[],[f3198,f1305]) ).
fof(f3207,plain,
( $false
| spl20_1
| ~ spl20_87
| spl20_88 ),
inference(forward_subsumption_resolution,[],[f3205,f269]) ).
fof(f3208,plain,
( spl20_1
| ~ spl20_87
| spl20_88 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3210,plain,
( ~ member(x,universal_class)
| ~ spl20_37
| ~ spl20_87
| spl20_88 ),
inference(forward_demodulation,[],[f3206,f3199]) ).
fof(f3211,plain,
( $false
| ~ spl20_1
| ~ spl20_37
| ~ spl20_87
| spl20_88 ),
inference(forward_subsumption_resolution,[],[f3210,f268]) ).
fof(f3212,plain,
( ~ spl20_1
| ~ spl20_37
| ~ spl20_87
| spl20_88 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
cnf(s15,plain,
( ~ spl20_35
| ~ spl20_36
| spl20_37
| ~ spl20_38 ),
inference(sat_conversion,[],[f635]) ).
cnf(s17,plain,
( spl20_37
| spl20_38 ),
inference(sat_conversion,[],[f689]) ).
cnf(s45,plain,
( ~ spl20_37
| spl20_87 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s47,plain,
( spl20_35
| spl20_37
| ~ spl20_38 ),
inference(sat_conversion,[],[f1220]) ).
cnf(s49,plain,
( spl20_36
| spl20_37
| ~ spl20_38 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s63,plain,
( spl20_61
| spl20_102 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s77,plain,
( ~ spl20_61
| spl20_102 ),
inference(sat_conversion,[],[f1859]) ).
cnf(s132,plain,
( ~ spl20_37
| ~ spl20_87
| ~ spl20_88
| ~ spl20_102 ),
inference(sat_conversion,[],[f3191]) ).
cnf(s133,plain,
( spl20_1
| ~ spl20_87
| spl20_88 ),
inference(sat_conversion,[],[f3208]) ).
cnf(s135,plain,
( ~ spl20_1
| ~ spl20_37
| ~ spl20_87
| spl20_88 ),
inference(sat_conversion,[],[f3212]) ).
cnf(s136,plain,
( spl20_37
| spl20_35 ),
inference(rat,[],[s47,s17]) ).
cnf(s137,plain,
spl20_102,
inference(rat,[],[s63,s77]) ).
cnf(s139,plain,
spl20_37,
inference(rat,[],[s15,s49,s136,s17]) ).
cnf(s140,plain,
spl20_87,
inference(rat,[],[s45,s139]) ).
cnf(s142,plain,
~ spl20_88,
inference(rat,[],[s132,s137,s139,s140]) ).
cnf(s143,plain,
~ spl20_1,
inference(rat,[],[s135,s139,s140,s142]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s133,s140,s143,s142]) ).
fof(f3213,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET128-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:54:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 8.11/2.15 % (3373254)Input is clausal, will run a generic CNF schedule.
% 8.11/2.15 % (3373259)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=296159340:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.11/2.15 % (3373262)lrs+10_1_sil=8000:sp=occurrence:random_seed=1761006113:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.11/2.15 % (3373260)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4219809013:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.11/2.15 % (3373261)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=285838281:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.11/2.15 % (3373263)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3297530374:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.11/2.15 % (3373262)Refutation not found, incomplete strategy
% 8.11/2.15 % (3373262)------------------------------
% 8.11/2.15 % (3373262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373262)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373262)Termination reason: Refutation not found, incomplete strategy
% 8.11/2.15 % (3373262)Time elapsed: 0.005 s
% 8.11/2.15 % (3373262)Peak memory usage: 88 MB
% 8.11/2.15 % (3373262)Instructions burned: 5 (million)
% 8.11/2.15 % (3373265)dis-21_1_sil=8000:lcm=predicate:random_seed=3925639708: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)
% 8.11/2.15 % (3373264)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3900398446:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.11/2.15 % (3373263)Instruction limit reached!
% 8.11/2.15 % (3373263)------------------------------
% 8.11/2.15 % (3373263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373263)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373263)Termination reason: Instruction limit
% 8.11/2.15 % (3373263)Termination phase: Saturation
% 8.11/2.15 % (3373263)Time elapsed: 0.069 s
% 8.11/2.15 % (3373263)Peak memory usage: 89 MB
% 8.11/2.15 % (3373263)Instructions burned: 114 (million)
% 8.11/2.15 % (3373265)Instruction limit reached!
% 8.11/2.15 % (3373265)------------------------------
% 8.11/2.15 % (3373265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373265)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373265)Termination reason: Instruction limit
% 8.11/2.15 % (3373265)Termination phase: Saturation
% 8.11/2.15 % (3373265)Time elapsed: 0.064 s
% 8.11/2.15 % (3373265)Peak memory usage: 89 MB
% 8.11/2.15 % (3373265)Instructions burned: 117 (million)
% 8.11/2.15 % (3373264)Instruction limit reached!
% 8.11/2.15 % (3373264)------------------------------
% 8.11/2.15 % (3373264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373264)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373264)Termination reason: Instruction limit
% 8.11/2.15 % (3373264)Termination phase: Saturation
% 8.11/2.15 % (3373264)Time elapsed: 0.135 s
% 8.11/2.15 % (3373264)Peak memory usage: 91 MB
% 8.11/2.15 % (3373264)Instructions burned: 180 (million)
% 8.11/2.15 % (3373274)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3080202961: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)
% 8.11/2.15 % (3373273)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=2665256128:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.11/2.15 % (3373273)Refutation not found, incomplete strategy
% 8.11/2.15 % (3373273)------------------------------
% 8.11/2.15 % (3373273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373273)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373273)Termination reason: Refutation not found, incomplete strategy
% 8.11/2.15 % (3373273)Time elapsed: 0.003 s
% 8.11/2.15 % (3373273)Peak memory usage: 88 MB
% 8.11/2.15 % (3373273)Instructions burned: 4 (million)
% 8.11/2.15 % (3373262)------------------------------
% 8.11/2.15 % (3373262)------------------------------
% 8.11/2.15 % (3373275)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1715285346:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.11/2.15 % (3373275)Refutation not found, incomplete strategy
% 8.11/2.15 % (3373275)------------------------------
% 8.11/2.15 % (3373275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373275)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373275)Termination reason: Refutation not found, incomplete strategy
% 8.11/2.15 % (3373275)Time elapsed: 0.003 s
% 8.11/2.15 % (3373275)Peak memory usage: 88 MB
% 8.11/2.15 % (3373275)Instructions burned: 4 (million)
% 8.11/2.15 % (3373274)Instruction limit reached!
% 8.11/2.15 % (3373274)------------------------------
% 8.11/2.15 % (3373274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373274)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373274)Termination reason: Instruction limit
% 8.11/2.15 % (3373274)Termination phase: Saturation
% 8.11/2.15 % (3373274)Time elapsed: 0.104 s
% 8.11/2.15 % (3373274)Peak memory usage: 90 MB
% 8.11/2.15 % (3373274)Instructions burned: 191 (million)
% 8.11/2.15 % (3373278)lrs+10_64_to=lpo:sil=8000:random_seed=586320154:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.11/2.15 % (3373273)------------------------------
% 8.11/2.15 % (3373273)------------------------------
% 8.11/2.15 % (3373280)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3286366499:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.11/2.15 % (3373278)Instruction limit reached!
% 8.11/2.15 % (3373278)------------------------------
% 8.11/2.15 % (3373278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373278)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373278)Termination reason: Instruction limit
% 8.11/2.15 % (3373278)Termination phase: Saturation
% 8.11/2.15 % (3373278)Time elapsed: 0.081 s
% 8.11/2.15 % (3373278)Peak memory usage: 89 MB
% 8.11/2.15 % (3373278)Instructions burned: 126 (million)
% 8.11/2.15 % (3373275)------------------------------
% 8.11/2.15 % (3373275)------------------------------
% 8.11/2.15 % (3373280)Instruction limit reached!
% 8.11/2.15 % (3373280)------------------------------
% 8.11/2.15 % (3373280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373280)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373280)Termination reason: Instruction limit
% 8.11/2.15 % (3373280)Termination phase: Saturation
% 8.11/2.15 % (3373280)Time elapsed: 0.124 s
% 8.11/2.15 % (3373280)Peak memory usage: 90 MB
% 8.11/2.15 % (3373280)Instructions burned: 194 (million)
% 8.11/2.15 % (3373283)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1685633258:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.11/2.15 % (3373284)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1451115901:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.11/2.15 % (3373285)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=2571875340:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.11/2.15 % (3373283)Instruction limit reached!
% 8.11/2.15 % (3373283)------------------------------
% 8.11/2.15 % (3373283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373283)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373283)Termination reason: Instruction limit
% 8.11/2.15 % (3373283)Termination phase: Saturation
% 8.11/2.15 % (3373283)Time elapsed: 0.102 s
% 8.11/2.15 % (3373283)Peak memory usage: 91 MB
% 8.11/2.15 % (3373283)Instructions burned: 157 (million)
% 8.11/2.15 % (3373287)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=907534726:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.11/2.15 % (3373287)Refutation not found, incomplete strategy
% 8.11/2.15 % (3373287)------------------------------
% 8.11/2.15 % (3373287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373287)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373287)Termination reason: Refutation not found, incomplete strategy
% 8.11/2.15 % (3373287)Time elapsed: 0.005 s
% 8.11/2.15 % (3373287)Peak memory usage: 88 MB
% 8.11/2.15 % (3373287)Instructions burned: 7 (million)
% 8.11/2.15 % (3373285)Instruction limit reached!
% 8.11/2.15 % (3373285)------------------------------
% 8.11/2.15 % (3373285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373285)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373285)Termination reason: Instruction limit
% 8.11/2.15 % (3373285)Termination phase: Saturation
% 8.11/2.15 % (3373285)Time elapsed: 0.051 s
% 8.11/2.15 % (3373285)Peak memory usage: 95 MB
% 8.11/2.15 % (3373285)Instructions burned: 106 (million)
% 8.11/2.15 % (3373290)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4126502732:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.11/2.15 % (3373292)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2774222190:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.11/2.15 % (3373261)First to succeed.
% 8.11/2.15 % (3373261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3373254"
% 8.11/2.15 % (3373287)------------------------------
% 8.11/2.15 % (3373287)------------------------------
% 8.11/2.15 % (3373290)Instruction limit reached!
% 8.11/2.15 % (3373290)------------------------------
% 8.11/2.15 % (3373290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.15 % (3373290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.15 % (3373290)CaDiCaL version: 2.1.3
% 8.11/2.15 % (3373290)Termination reason: Instruction limit
% 8.11/2.15 % (3373290)Termination phase: Saturation
% 8.11/2.15 % (3373290)Time elapsed: 0.167 s
% 8.11/2.15 % (3373290)Peak memory usage: 90 MB
% 8.11/2.15 % (3373290)Instructions burned: 242 (million)
% 8.11/2.15 % (3373295)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=756826431:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 8.11/2.15 % (3373296)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3559230884:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 8.11/2.15 % (3373261)Refutation found. Thanks to Tanya!
% 8.11/2.15 % SZS status Unsatisfiable for theBenchmark
% 8.11/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 9.68/2.34 % (3373261)------------------------------
% 9.68/2.34 % (3373261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.34 % (3373261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.34 % (3373261)CaDiCaL version: 2.1.3
% 9.68/2.34 % (3373261)Termination reason: Refutation
% 9.68/2.34 % (3373261)Time elapsed: 0.876 s
% 9.68/2.34 % (3373261)Peak memory usage: 131 MB
% 9.68/2.34 % (3373261)Instructions burned: 1298 (million)
% 9.68/2.34 % (3373261)------------------------------
% 9.68/2.34 % (3373261)------------------------------
% 9.68/2.34 % (3373254)Success in time 1.288 s
% 9.68/2.34 % Vampire exiting
%------------------------------------------------------------------------------