%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET099-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:40:06 PM UTC 2026
% Result : Unsatisfiable 6.32s 1.88s
% Output : Refutation 7.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 133 ( 38 unt; 12 def)
% Number of atoms : 265 ( 46 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 242 ( 110 ~; 125 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f101,negated_conjecture,
not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class) = not_subclass_element(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_1) ).
fof(f102,plain,
not_subclass_element(x,null_class) = not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_2) ).
fof(f104,plain,
x != singleton(not_subclass_element(x,null_class)),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_3) ).
fof(f106,plain,
null_class != x,
inference(reorient_equations,[],[f105]) ).
fof(f155,plain,
not_subclass_element(x,null_class) = not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x),null_class),
inference(definition_unfolding,[],[f102,f12]) ).
fof(f156,plain,
x != unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),
inference(definition_unfolding,[],[f104,f12]) ).
fof(f160,definition,
sF0 = not_subclass_element(x,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f161,plain,
not_subclass_element(x,null_class) = sF0,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF1 = unordered_pair(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f163,plain,
unordered_pair(sF0,sF0) = sF1,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f165,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF3 = intersection(sF2,x),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f167,plain,
intersection(sF2,x) = sF3,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF4 = not_subclass_element(sF3,null_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f169,plain,
not_subclass_element(sF3,null_class) = sF4,
inference(reorient_equations,[],[f168]) ).
fof(f170,plain,
sF0 = sF4,
inference(definition_folding,[],[f155,f169,f167,f165,f163,f161,f161,f161]) ).
fof(f171,plain,
x != sF1,
inference(definition_folding,[],[f156,f163,f161,f161]) ).
fof(f172,plain,
sF0 = not_subclass_element(sF3,null_class),
inference(forward_demodulation,[],[f169,f170]) ).
fof(f173,plain,
( member(sF0,x)
| subclass(x,null_class) ),
inference(superposition,[],[f2,f161]) ).
fof(f174,plain,
( member(sF0,sF3)
| subclass(sF3,null_class) ),
inference(superposition,[],[f2,f172]) ).
fof(f176,definition,
( spl5_1
<=> subclass(sF3,null_class) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f178,plain,
( subclass(sF3,null_class)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl5_2
<=> member(sF0,sF3) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f182,plain,
( member(sF0,sF3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f174,f180,f176]) ).
fof(f185,definition,
( spl5_3
<=> subclass(x,null_class) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f187,plain,
( subclass(x,null_class)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f189,definition,
( spl5_4
<=> member(sF0,x) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f191,plain,
( member(sF0,x)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,plain,
( spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f173,f189,f185]) ).
fof(f203,plain,
! [X0] :
( ~ member(X0,sF1)
| sF0 = X0
| sF0 = X0 ),
inference(superposition,[],[f8,f163]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sF1)
| sF0 = X0 ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f206,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f165]) ).
fof(f208,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f21,f167]) ).
fof(f212,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f25,f165]) ).
fof(f241,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f243,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,x) ),
inference(superposition,[],[f22,f167]) ).
fof(f249,definition,
( spl5_11
<=> null_class = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
fof(f250,plain,
( null_class != sF3
| spl5_11 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f251,plain,
( null_class = sF3
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f257,plain,
! [X0] :
( subclass(sF1,X0)
| sF0 = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f204,f2]) ).
fof(f274,plain,
( ~ subclass(null_class,x)
| null_class = x
| ~ spl5_3 ),
inference(resolution,[],[f187,f7]) ).
fof(f275,plain,
( ~ subclass(null_class,x)
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f274,f106]) ).
fof(f278,plain,
( member(sF0,sF2)
| ~ spl5_2 ),
inference(resolution,[],[f209,f182]) ).
fof(f280,plain,
( ~ member(sF0,sF1)
| ~ spl5_2 ),
inference(resolution,[],[f278,f206]) ).
fof(f284,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f288,plain,
( ! [X0] :
( ~ subclass(sF2,X0)
| member(sF0,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f1,f278]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f293,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,x)
| member(X0,sF3) ),
inference(superposition,[],[f23,f167]) ).
fof(f323,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF1) ),
inference(resolution,[],[f284,f212]) ).
fof(f336,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF1)
| member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1) ),
inference(forward_subsumption_resolution,[],[f323,f4]) ).
fof(f337,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),sF2)
| subclass(X0,sF1)
| subclass(X0,sF1) ),
inference(resolution,[],[f336,f3]) ).
fof(f342,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),sF2)
| subclass(X0,sF1) ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f345,plain,
( member(sF0,sF1)
| ~ member(sF0,universal_class) ),
inference(superposition,[],[f9,f163]) ).
fof(f346,plain,
( ~ member(sF0,universal_class)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f345,f280]) ).
fof(f347,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF1),x)
| subclass(X0,sF1)
| member(not_subclass_element(X0,sF1),sF3) ),
inference(resolution,[],[f342,f293]) ).
fof(f362,plain,
( subclass(x,sF1)
| member(not_subclass_element(x,sF1),sF3)
| subclass(x,sF1) ),
inference(resolution,[],[f347,f2]) ).
fof(f365,plain,
( subclass(x,sF1)
| member(not_subclass_element(x,sF1),sF3) ),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f367,definition,
( spl5_18
<=> member(not_subclass_element(x,sF1),sF3) ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
fof(f369,plain,
( member(not_subclass_element(x,sF1),sF3)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl5_19
<=> subclass(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f372,plain,
( ~ subclass(x,sF1)
| spl5_19 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( subclass(x,sF1)
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( spl5_18
| spl5_19 ),
inference(avatar_split_clause,[],[f365,f371,f367]) ).
fof(f375,plain,
( member(not_subclass_element(x,sF1),sF2)
| ~ spl5_18 ),
inference(resolution,[],[f369,f209]) ).
fof(f376,plain,
( member(not_subclass_element(x,sF1),x)
| ~ spl5_18 ),
inference(resolution,[],[f369,f243]) ).
fof(f383,plain,
( member(sF0,universal_class)
| ~ spl5_2 ),
inference(resolution,[],[f288,f4]) ).
fof(f384,plain,
( $false
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f383,f346]) ).
fof(f385,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f403,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f208,f3]) ).
fof(f420,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f423,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f420,f70]) ).
fof(f424,plain,
( null_class = x
| ~ spl5_3 ),
inference(resolution,[],[f423,f275]) ).
fof(f425,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f423,f7]) ).
fof(f426,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f425]) ).
fof(f427,plain,
( $false
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f424,f106]) ).
fof(f428,plain,
~ spl5_3,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f435,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f426,f420]) ).
fof(f438,plain,
( null_class = sF3
| ~ spl5_1 ),
inference(resolution,[],[f426,f178]) ).
fof(f440,plain,
( $false
| ~ spl5_1
| spl5_11 ),
inference(forward_subsumption_resolution,[],[f438,f250]) ).
fof(f441,plain,
( ~ spl5_1
| spl5_11 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f500,plain,
( ~ subclass(sF1,x)
| x = sF1
| ~ spl5_19 ),
inference(resolution,[],[f373,f7]) ).
fof(f501,plain,
( ~ subclass(sF1,x)
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f500,f171]) ).
fof(f502,plain,
( sF0 = not_subclass_element(sF1,x)
| ~ spl5_19 ),
inference(resolution,[],[f501,f257]) ).
fof(f505,plain,
( ~ member(sF0,x)
| subclass(sF1,x)
| ~ spl5_19 ),
inference(superposition,[],[f3,f502]) ).
fof(f508,plain,
( subclass(sF1,x)
| ~ spl5_4
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f505,f191]) ).
fof(f512,plain,
( $false
| ~ spl5_4
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f508,f501]) ).
fof(f513,plain,
( ~ spl5_4
| ~ spl5_19 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f530,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f241,f3]) ).
fof(f548,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f560,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f548,f435]) ).
fof(f561,plain,
( ! [X0] : subclass(sF3,X0)
| ~ spl5_11 ),
inference(forward_demodulation,[],[f560,f251]) ).
fof(f672,plain,
! [X0,X1] :
( ~ subclass(sF3,X0)
| ~ member(X1,sF2)
| ~ member(X1,x)
| member(X1,X0) ),
inference(superposition,[],[f292,f167]) ).
fof(f861,plain,
( ! [X0,X1] :
( ~ member(X1,sF2)
| ~ member(X1,x)
| member(X1,X0) )
| ~ spl5_11 ),
inference(forward_subsumption_resolution,[],[f672,f561]) ).
fof(f2293,plain,
( ! [X0] :
( ~ member(not_subclass_element(x,sF1),x)
| member(not_subclass_element(x,sF1),X0) )
| ~ spl5_11
| ~ spl5_18 ),
inference(resolution,[],[f861,f375]) ).
fof(f2308,plain,
( ! [X0] : member(not_subclass_element(x,sF1),X0)
| ~ spl5_11
| ~ spl5_18 ),
inference(forward_subsumption_resolution,[],[f2293,f376]) ).
fof(f2310,plain,
( subclass(x,sF1)
| ~ spl5_11
| ~ spl5_18 ),
inference(resolution,[],[f2308,f3]) ).
fof(f2338,plain,
( $false
| ~ spl5_11
| ~ spl5_18
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f2310,f372]) ).
fof(f2339,plain,
( ~ spl5_11
| ~ spl5_18
| spl5_19 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f183]) ).
cnf(s2,plain,
( spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f192]) ).
cnf(s11,plain,
( spl5_18
| spl5_19 ),
inference(sat_conversion,[],[f374]) ).
cnf(s12,plain,
~ spl5_2,
inference(sat_conversion,[],[f385]) ).
cnf(s15,plain,
~ spl5_3,
inference(sat_conversion,[],[f428]) ).
cnf(s17,plain,
( ~ spl5_1
| spl5_11 ),
inference(sat_conversion,[],[f441]) ).
cnf(s25,plain,
( ~ spl5_4
| ~ spl5_19 ),
inference(sat_conversion,[],[f513]) ).
cnf(s83,plain,
( ~ spl5_11
| ~ spl5_18
| spl5_19 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s88,plain,
spl5_4,
inference(rat,[],[s2,s15]) ).
cnf(s90,plain,
~ spl5_19,
inference(rat,[],[s25,s88]) ).
cnf(s92,plain,
spl5_18,
inference(rat,[],[s11,s90]) ).
cnf(s95,plain,
~ spl5_11,
inference(rat,[],[s83,s90,s92]) ).
cnf(s96,plain,
~ spl5_1,
inference(rat,[],[s17,s95]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s1,s12,s96]) ).
fof(f2345,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET099-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:41:00 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 6.32/1.88 % (2568787)Input is clausal, will run a generic CNF schedule.
% 6.32/1.88 % (2568792)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=2488512131:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.32/1.88 % (2568793)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2222632085:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.32/1.88 % (2568794)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2313676800:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.32/1.88 % (2568798)dis-21_1_sil=8000:lcm=predicate:random_seed=1710749599: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)
% 6.32/1.88 % (2568795)lrs+10_1_sil=8000:sp=occurrence:random_seed=1276758869:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.32/1.88 % (2568796)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=320359043:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.32/1.88 % (2568797)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3599463205:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.32/1.88 % (2568798)Instruction limit reached!
% 6.32/1.88 % (2568798)------------------------------
% 6.32/1.88 % (2568798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568798)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568798)Termination reason: Instruction limit
% 6.32/1.88 % (2568798)Termination phase: Saturation
% 6.32/1.88 % (2568798)Time elapsed: 0.069 s
% 6.32/1.88 % (2568798)Peak memory usage: 89 MB
% 6.32/1.88 % (2568798)Instructions burned: 118 (million)
% 6.32/1.88 % (2568796)Instruction limit reached!
% 6.32/1.88 % (2568796)------------------------------
% 6.32/1.88 % (2568796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568796)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568796)Termination reason: Instruction limit
% 6.32/1.88 % (2568796)Termination phase: Saturation
% 6.32/1.88 % (2568796)Time elapsed: 0.069 s
% 6.32/1.88 % (2568796)Peak memory usage: 89 MB
% 6.32/1.88 % (2568796)Instructions burned: 115 (million)
% 6.32/1.88 % (2568795)Instruction limit reached!
% 6.32/1.88 % (2568795)------------------------------
% 6.32/1.88 % (2568795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568795)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568795)Termination reason: Instruction limit
% 6.32/1.88 % (2568795)Termination phase: Saturation
% 6.32/1.88 % (2568795)Time elapsed: 0.072 s
% 6.32/1.88 % (2568795)Peak memory usage: 90 MB
% 6.32/1.88 % (2568795)Instructions burned: 108 (million)
% 6.32/1.88 % (2568797)Instruction limit reached!
% 6.32/1.88 % (2568797)------------------------------
% 6.32/1.88 % (2568797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568797)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568797)Termination reason: Instruction limit
% 6.32/1.88 % (2568797)Termination phase: Saturation
% 6.32/1.88 % (2568797)Time elapsed: 0.134 s
% 6.32/1.88 % (2568797)Peak memory usage: 90 MB
% 6.32/1.88 % (2568797)Instructions burned: 181 (million)
% 6.32/1.88 % (2568806)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=1243883668:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.32/1.88 % (2568807)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3642919752: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)
% 6.32/1.88 % (2568808)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1320655238:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.32/1.88 % (2568806)Refutation not found, incomplete strategy
% 6.32/1.88 % (2568806)------------------------------
% 6.32/1.88 % (2568806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568806)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568806)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.88 % (2568806)Time elapsed: 0.012 s
% 6.32/1.88 % (2568806)Peak memory usage: 88 MB
% 6.32/1.88 % (2568806)Instructions burned: 15 (million)
% 6.32/1.88 % (2568808)Refutation not found, incomplete strategy
% 6.32/1.88 % (2568808)------------------------------
% 6.32/1.88 % (2568808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568808)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568808)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.88 % (2568808)Time elapsed: 0.008 s
% 6.32/1.88 % (2568808)Peak memory usage: 88 MB
% 6.32/1.88 % (2568808)Instructions burned: 11 (million)
% 6.32/1.88 % (2568809)lrs+10_64_to=lpo:sil=8000:random_seed=2885263915:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.32/1.88 % (2568807)Instruction limit reached!
% 6.32/1.88 % (2568807)------------------------------
% 6.32/1.88 % (2568807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568807)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568807)Termination reason: Instruction limit
% 6.32/1.88 % (2568807)Termination phase: Saturation
% 6.32/1.88 % (2568807)Time elapsed: 0.117 s
% 6.32/1.88 % (2568807)Peak memory usage: 91 MB
% 6.32/1.88 % (2568807)Instructions burned: 190 (million)
% 6.32/1.88 % (2568809)Instruction limit reached!
% 6.32/1.88 % (2568809)------------------------------
% 6.32/1.88 % (2568809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568809)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568809)Termination reason: Instruction limit
% 6.32/1.88 % (2568809)Termination phase: Saturation
% 6.32/1.88 % (2568809)Time elapsed: 0.079 s
% 6.32/1.88 % (2568809)Peak memory usage: 89 MB
% 6.32/1.88 % (2568809)Instructions burned: 126 (million)
% 6.32/1.88 % (2568814)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2639487879:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.32/1.88 % (2568806)------------------------------
% 6.32/1.88 % (2568806)------------------------------
% 6.32/1.88 % (2568808)------------------------------
% 6.32/1.88 % (2568808)------------------------------
% 6.32/1.88 % (2568815)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2767483238:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.32/1.88 % (2568814)Instruction limit reached!
% 6.32/1.88 % (2568814)------------------------------
% 6.32/1.88 % (2568814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568814)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568814)Termination reason: Instruction limit
% 6.32/1.88 % (2568814)Termination phase: Saturation
% 6.32/1.88 % (2568814)Time elapsed: 0.073 s
% 6.32/1.88 % (2568814)Peak memory usage: 91 MB
% 6.32/1.88 % (2568814)Instructions burned: 194 (million)
% 6.32/1.88 % (2568820)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4145067908:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.32/1.88 % (2568820)Refutation not found, incomplete strategy
% 6.32/1.88 % (2568820)------------------------------
% 6.32/1.88 % (2568820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568820)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568820)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.88 % (2568820)Time elapsed: 0.002 s
% 6.32/1.88 % (2568820)Peak memory usage: 88 MB
% 6.32/1.88 % (2568820)Instructions burned: 7 (million)
% 6.32/1.88 % (2568792)First to succeed.
% 6.32/1.88 % (2568818)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=1156663832:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.32/1.88 % (2568817)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=418364234:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.32/1.88 % (2568792)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2568787"
% 6.32/1.88 % (2568815)Instruction limit reached!
% 6.32/1.88 % (2568815)------------------------------
% 6.32/1.88 % (2568815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568815)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568815)Termination reason: Instruction limit
% 6.32/1.88 % (2568815)Termination phase: Saturation
% 6.32/1.88 % (2568815)Time elapsed: 0.111 s
% 6.32/1.88 % (2568815)Peak memory usage: 91 MB
% 6.32/1.88 % (2568815)Instructions burned: 159 (million)
% 6.32/1.88 % (2568818)Instruction limit reached!
% 6.32/1.88 % (2568818)------------------------------
% 6.32/1.88 % (2568818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.88 % (2568818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.88 % (2568818)CaDiCaL version: 2.1.3
% 6.32/1.88 % (2568818)Termination reason: Instruction limit
% 6.32/1.88 % (2568818)Termination phase: Saturation
% 6.32/1.88 % (2568818)Time elapsed: 0.063 s
% 6.32/1.88 % (2568818)Peak memory usage: 90 MB
% 6.32/1.88 % (2568818)Instructions burned: 106 (million)
% 6.32/1.88 % (2568794)Also succeeded, but the first one will report.
% 6.32/1.88 % (2568820)------------------------------
% 6.32/1.88 % (2568820)------------------------------
% 6.32/1.88 % (2568824)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=530286005:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.32/1.88 % (2568825)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=853030954:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.32/1.88 % (2568826)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4006272702:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.32/1.88 % (2568792)Refutation found. Thanks to Tanya!
% 6.32/1.88 % SZS status Unsatisfiable for theBenchmark
% 6.32/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 7.69/2.07 % (2568792)------------------------------
% 7.69/2.07 % (2568792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.07 % (2568792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.07 % (2568792)CaDiCaL version: 2.1.3
% 7.69/2.07 % (2568792)Termination reason: Refutation
% 7.69/2.07 % (2568792)Time elapsed: 0.637 s
% 7.69/2.07 % (2568792)Peak memory usage: 132 MB
% 7.69/2.07 % (2568792)Instructions burned: 1278 (million)
% 7.69/2.07 % (2568792)------------------------------
% 7.69/2.07 % (2568792)------------------------------
% 7.69/2.07 % (2568787)Success in time 1.007 s
% 7.69/2.07 % Vampire exiting
%------------------------------------------------------------------------------