%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET304-6 : 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 : n005.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 12:40:44 PM UTC 2026
% Result : Unsatisfiable 11.24s 3.32s
% Output : Refutation 17.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 40
% Syntax : Number of formulae : 156 ( 53 unt; 16 def)
% Number of atoms : 423 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 534 ( 267 ~; 260 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 14 con; 0-3 aty)
% Number of variables : 195 ( 0 sgn 195 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
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(f122,negated_conjecture,
member(ordered_pair(x,y),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_alternate_defn3_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_alternate_defn3_2) ).
fof(f124,negated_conjecture,
~ member(y,range_of(xr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_alternate_defn3_3) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f129,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f129]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f129]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f129]) ).
fof(f145,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f146,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f129,f129,f129,f129,f129,f129]) ).
fof(f187,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(definition_unfolding,[],[f122,f129]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f129]) ).
fof(f189,plain,
~ member(y,domain_of(domain_of(flip(cross_product(xr,universal_class))))),
inference(definition_unfolding,[],[f124,f126]) ).
fof(f194,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f195,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF1 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f197,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF2 = unordered_pair(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f199,plain,
unordered_pair(x,sF1) = sF2,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f201,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
member(sF3,xr),
inference(definition_folding,[],[f187,f201,f199,f197,f195]) ).
fof(f203,definition,
sF4 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f204,plain,
cross_product(universal_class,universal_class) = sF4,
inference(reorient_equations,[],[f203]) ).
fof(f205,plain,
member(sF3,sF4),
inference(definition_folding,[],[f188,f204,f201,f199,f197,f195]) ).
fof(f206,definition,
sF5 = cross_product(xr,universal_class),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f207,plain,
cross_product(xr,universal_class) = sF5,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF6 = flip(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f209,plain,
flip(sF5) = sF6,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF7 = domain_of(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f211,plain,
domain_of(sF6) = sF7,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF8 = domain_of(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f213,plain,
domain_of(sF7) = sF8,
inference(reorient_equations,[],[f212]) ).
fof(f214,plain,
~ member(y,sF8),
inference(definition_folding,[],[f189,f213,f211,f209,f207]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(sF4,universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(backward_demodulation,[],[f150,f204]) ).
fof(f235,plain,
( member(y,sF1)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f197]) ).
fof(f240,definition,
( spl9_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f241,plain,
( member(x,universal_class)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( ~ member(x,universal_class)
| spl9_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f263,definition,
( spl9_6
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f264,plain,
( member(y,universal_class)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ member(y,universal_class)
| spl9_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl9_7
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f269,plain,
( member(y,sF1)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl9_6
| spl9_7 ),
inference(avatar_split_clause,[],[f235,f267,f263]) ).
fof(f308,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f138,f204]) ).
fof(f313,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f308,f197]) ).
fof(f322,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,universal_class) ),
inference(superposition,[],[f139,f204]) ).
fof(f327,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| member(y,universal_class) ),
inference(superposition,[],[f322,f197]) ).
fof(f330,plain,
( ! [X0] : ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),sF4)
| spl9_6 ),
inference(forward_subsumption_resolution,[],[f327,f265]) ).
fof(f356,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| spl9_6 ),
inference(superposition,[],[f330,f195]) ).
fof(f359,plain,
( ~ member(unordered_pair(sF0,sF2),sF4)
| spl9_6 ),
inference(forward_demodulation,[],[f356,f199]) ).
fof(f361,plain,
( ~ member(sF3,sF4)
| spl9_6 ),
inference(forward_demodulation,[],[f359,f201]) ).
fof(f364,plain,
( $false
| spl9_6 ),
inference(forward_subsumption_resolution,[],[f361,f205]) ).
fof(f365,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f376,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| member(x,universal_class) ),
inference(superposition,[],[f313,f195]) ).
fof(f379,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),sF4)
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f376,f242]) ).
fof(f381,plain,
( ~ member(unordered_pair(sF0,sF2),sF4)
| spl9_1 ),
inference(forward_demodulation,[],[f379,f199]) ).
fof(f383,plain,
( ~ member(sF3,sF4)
| spl9_1 ),
inference(forward_demodulation,[],[f381,f201]) ).
fof(f386,plain,
( $false
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f383,f205]) ).
fof(f387,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f402,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f585,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,xr) ),
inference(superposition,[],[f140,f207]) ).
fof(f793,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f146]) ).
fof(f798,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f793,f140]) ).
fof(f800,plain,
! [X0,X1] :
( ~ member(X0,cross_product(sF1,universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(y,universal_class)
| member(y,domain_of(X1)) ),
inference(superposition,[],[f793,f197]) ).
fof(f801,plain,
( ! [X0,X1] :
( ~ member(X0,cross_product(sF1,universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| member(y,domain_of(X1)) )
| ~ spl9_6 ),
inference(forward_subsumption_resolution,[],[f800,f264]) ).
fof(f823,definition,
( spl9_37
<=> ! [X4] : ~ member(X4,null_class) ),
introduced(definition,[new_symbols(definition,[spl9_37])],[avatar_definition]) ).
fof(f824,plain,
( ! [X4] : ~ member(X4,null_class)
| ~ spl9_37 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f1124,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f402,f3]) ).
fof(f1139,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f1124]) ).
fof(f1169,definition,
( spl9_45
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),X1)
| ~ member(X3,unordered_pair(X0,X0))
| ~ member(X2,universal_class)
| member(X0,domain_of(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl9_45])],[avatar_definition]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),X1)
| ~ member(X0,universal_class)
| ~ member(X3,unordered_pair(X0,X0))
| ~ member(X2,universal_class)
| member(X0,domain_of(X1)) )
| ~ spl9_45 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1175,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f1139,f70]) ).
fof(f1176,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f1175,f7]) ).
fof(f1177,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1178,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f1177,f1139]) ).
fof(f1836,definition,
( spl9_59
<=> ! [X2] : ~ member(X2,universal_class) ),
introduced(definition,[new_symbols(definition,[spl9_59])],[avatar_definition]) ).
fof(f1837,plain,
( ! [X2] : ~ member(X2,universal_class)
| ~ spl9_59 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f2111,plain,
member(sF3,universal_class),
inference(superposition,[],[f11,f201]) ).
fof(f2131,plain,
( $false
| ~ spl9_59 ),
inference(forward_subsumption_resolution,[],[f2111,f1837]) ).
fof(f2132,plain,
~ spl9_59,
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f2149,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f140,f204]) ).
fof(f2245,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f1178]) ).
fof(f2314,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f145,f1178]) ).
fof(f2315,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f2314]) ).
fof(f2714,plain,
! [X0] : ~ member(X0,null_class),
inference(resolution,[],[f2315,f2245]) ).
fof(f5010,plain,
spl9_37,
inference(avatar_split_clause,[],[f2714,f823]) ).
fof(f5094,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4) ),
inference(resolution,[],[f227,f140]) ).
fof(f5107,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X4,X4))
| ~ member(X2,universal_class)
| member(X4,domain_of(flip(X3))) )
| ~ spl9_45 ),
inference(resolution,[],[f5094,f1170]) ).
fof(f5117,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(X4,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X4,X4))
| member(X4,domain_of(flip(X3))) )
| ~ spl9_45 ),
inference(duplicate_literal_removal,[],[f5107]) ).
fof(f5124,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF4)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| member(X3,domain_of(flip(sF5)))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) )
| ~ spl9_45 ),
inference(resolution,[],[f5117,f585]) ).
fof(f5144,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF4)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| member(X3,domain_of(flip(sF5)))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) )
| ~ spl9_45 ),
inference(duplicate_literal_removal,[],[f5124]) ).
fof(f5157,plain,
( ! [X2,X3,X0,X1] :
( member(X3,domain_of(sF6))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF4)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) )
| ~ spl9_45 ),
inference(forward_demodulation,[],[f5144,f209]) ).
fof(f5160,plain,
( ! [X2,X3,X0,X1] :
( member(X3,sF7)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF4)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) )
| ~ spl9_45 ),
inference(forward_demodulation,[],[f5157,f211]) ).
fof(f5166,definition,
( spl9_183
<=> ! [X2,X1,X3] :
( member(X3,sF7)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF4) ) ),
introduced(definition,[new_symbols(definition,[spl9_183])],[avatar_definition]) ).
fof(f5167,plain,
( ! [X2,X3,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr)
| member(X3,sF7)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF4) )
| ~ spl9_183 ),
inference(avatar_component_clause,[],[f5166]) ).
fof(f5168,plain,
( spl9_59
| spl9_183
| ~ spl9_45 ),
inference(avatar_split_clause,[],[f5160,f1169,f5166,f1836]) ).
fof(f5194,plain,
( ! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) )
| ~ spl9_37 ),
inference(forward_subsumption_resolution,[],[f798,f824]) ).
fof(f5196,plain,
( spl9_45
| ~ spl9_37 ),
inference(avatar_split_clause,[],[f5194,f823,f1169]) ).
fof(f5199,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) )
| ~ spl9_183 ),
inference(resolution,[],[f5167,f10]) ).
fof(f5208,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4) )
| ~ spl9_183 ),
inference(duplicate_literal_removal,[],[f5199]) ).
fof(f5211,plain,
( ! [X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4) )
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f5208,f11]) ).
fof(f5924,plain,
( ! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(y,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,sF1) )
| ~ spl9_6 ),
inference(resolution,[],[f801,f140]) ).
fof(f5931,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(y,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,sF1) )
| ~ spl9_6
| ~ spl9_37 ),
inference(forward_subsumption_resolution,[],[f5924,f824]) ).
fof(f5949,plain,
( ! [X0,X1] :
( member(y,domain_of(sF7))
| ~ member(X0,universal_class)
| ~ member(X1,sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4) )
| ~ spl9_6
| ~ spl9_37
| ~ spl9_183 ),
inference(resolution,[],[f5931,f5211]) ).
fof(f5982,plain,
( ! [X0,X1] :
( member(y,domain_of(sF7))
| ~ member(X1,sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4) )
| ~ spl9_6
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f5949,f322]) ).
fof(f5989,plain,
( ! [X0,X1] :
( member(y,sF8)
| ~ member(X1,sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4) )
| ~ spl9_6
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_demodulation,[],[f5982,f213]) ).
fof(f5990,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(X1,sF1) )
| ~ spl9_6
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f5989,f214]) ).
fof(f5991,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),xr)
| ~ member(X1,sF1)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class) )
| ~ spl9_6
| ~ spl9_37
| ~ spl9_183 ),
inference(resolution,[],[f5990,f2149]) ).
fof(f6009,plain,
( ! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),xr)
| ~ member(y,sF1)
| ~ member(X0,universal_class)
| ~ member(y,universal_class) )
| ~ spl9_6
| ~ spl9_37
| ~ spl9_183 ),
inference(superposition,[],[f5991,f197]) ).
fof(f6011,plain,
( ! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),xr)
| ~ member(X0,universal_class)
| ~ member(y,universal_class) )
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f6009,f269]) ).
fof(f6016,plain,
( ! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF1)),xr)
| ~ member(X0,universal_class) )
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f6011,f264]) ).
fof(f6024,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),xr)
| ~ member(x,universal_class)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(superposition,[],[f6016,f195]) ).
fof(f6029,plain,
( ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),xr)
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f6024,f241]) ).
fof(f6031,plain,
( ~ member(unordered_pair(sF0,sF2),xr)
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_demodulation,[],[f6029,f199]) ).
fof(f6033,plain,
( ~ member(sF3,xr)
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_demodulation,[],[f6031,f201]) ).
fof(f6036,plain,
( $false
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(forward_subsumption_resolution,[],[f6033,f202]) ).
fof(f6037,plain,
( ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(avatar_contradiction_clause,[],[f6036]) ).
cnf(s4,plain,
( ~ spl9_6
| spl9_7 ),
inference(sat_conversion,[],[f270]) ).
cnf(s8,plain,
spl9_6,
inference(sat_conversion,[],[f365]) ).
cnf(s10,plain,
spl9_1,
inference(sat_conversion,[],[f387]) ).
cnf(s83,plain,
~ spl9_59,
inference(sat_conversion,[],[f2132]) ).
cnf(s189,plain,
spl9_37,
inference(sat_conversion,[],[f5010]) ).
cnf(s197,plain,
( ~ spl9_45
| spl9_59
| spl9_183 ),
inference(sat_conversion,[],[f5168]) ).
cnf(s200,plain,
( ~ spl9_37
| spl9_45 ),
inference(sat_conversion,[],[f5196]) ).
cnf(s215,plain,
( ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_37
| ~ spl9_183 ),
inference(sat_conversion,[],[f6037]) ).
cnf(s216,plain,
spl9_45,
inference(rat,[],[s200,s189]) ).
cnf(s234,plain,
spl9_183,
inference(rat,[],[s197,s216,s83]) ).
cnf(s251,plain,
~ spl9_7,
inference(rat,[],[s215,s234,s189,s10,s8]) ).
cnf(s256,plain,
$false,
inference(rat,[],[s4,s251,s8]) ).
fof(f6038,plain,
$false,
inference(avatar_sat_refutation,[],[s256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET304-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:23:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 13.69/2.89 % (345689)Input is clausal, will run a generic CNF schedule.
% 13.69/2.89 % (345698)lrs+10_1_sil=8000:sp=occurrence:random_seed=2227045404:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.69/2.89 % (345698)Refutation not found, incomplete strategy
% 13.69/2.89 % (345698)------------------------------
% 13.69/2.89 % (345698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.89 % (345698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.89 % (345698)CaDiCaL version: 2.1.3
% 13.69/2.89 % (345698)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.89 % (345698)Time elapsed: 0.001 s
% 13.69/2.89 % (345698)Peak memory usage: 88 MB
% 13.69/2.89 % (345696)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4164483322:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.69/2.89 % (345697)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3940584069:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.69/2.89 % (345695)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=1329598335:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.69/2.89 % (345701)dis-21_1_sil=8000:lcm=predicate:random_seed=2119685631: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)
% 13.69/2.89 % (345699)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1176667090:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.69/2.89 % (345700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3673665495:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.69/2.89 % (345701)Instruction limit reached!
% 13.69/2.89 % (345701)------------------------------
% 13.69/2.89 % (345701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.89 % (345699)Instruction limit reached!
% 13.69/2.89 % (345699)------------------------------
% 13.69/2.89 % (345699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.89 % (345699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.89 % (345701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.89 % (345699)CaDiCaL version: 2.1.3
% 13.69/2.89 % (345701)CaDiCaL version: 2.1.3
% 13.69/2.89 % (345699)Termination reason: Instruction limit
% 13.69/2.89 % (345699)Termination phase: Saturation
% 13.69/2.89 % (345701)Termination reason: Instruction limit
% 13.69/2.89 % (345701)Termination phase: Saturation
% 13.69/2.89 % (345699)Time elapsed: 0.067 s
% 13.69/2.89 % (345699)Peak memory usage: 89 MB
% 13.69/2.89 % (345701)Time elapsed: 0.067 s
% 13.69/2.89 % (345699)Instructions burned: 114 (million)
% 13.69/2.89 % (345701)Peak memory usage: 88 MB
% 13.69/2.89 % (345701)Instructions burned: 118 (million)
% 13.69/2.89 % (345698)------------------------------
% 13.69/2.89 % (345698)------------------------------
% 13.69/2.89 % (345700)Instruction limit reached!
% 13.69/2.89 % (345700)------------------------------
% 13.69/2.89 % (345700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.89 % (345700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.89 % (345700)CaDiCaL version: 2.1.3
% 13.69/2.89 % (345700)Termination reason: Instruction limit
% 13.69/2.89 % (345700)Termination phase: Saturation
% 13.69/2.89 % (345700)Time elapsed: 0.134 s
% 13.69/2.89 % (345700)Peak memory usage: 90 MB
% 13.69/2.89 % (345700)Instructions burned: 181 (million)
% 13.69/2.89 % (345757)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1958199480:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.69/2.89 % (345751)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=3734319861:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.69/2.89 % (345752)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2273353727: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)
% 13.69/2.89 % (345757)Instruction limit reached!
% 13.69/2.89 % (345757)------------------------------
% 13.69/2.89 % (345757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345757)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345757)Termination reason: Instruction limit
% 11.24/3.32 % (345757)Termination phase: Saturation
% 11.24/3.32 % (345757)Time elapsed: 0.061 s
% 11.24/3.32 % (345757)Peak memory usage: 89 MB
% 11.24/3.32 % (345757)Instructions burned: 220 (million)
% 11.24/3.32 % (345762)lrs+10_64_to=lpo:sil=8000:random_seed=579581404:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.24/3.32 % (345751)Instruction limit reached!
% 11.24/3.32 % (345751)------------------------------
% 11.24/3.32 % (345751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345751)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345751)Termination reason: Instruction limit
% 11.24/3.32 % (345751)Termination phase: Saturation
% 11.24/3.32 % (345751)Time elapsed: 0.092 s
% 11.24/3.32 % (345751)Peak memory usage: 89 MB
% 11.24/3.32 % (345751)Instructions burned: 144 (million)
% 11.24/3.32 % (345752)Instruction limit reached!
% 11.24/3.32 % (345752)------------------------------
% 11.24/3.32 % (345752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345752)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345752)Termination reason: Instruction limit
% 11.24/3.32 % (345752)Termination phase: Saturation
% 11.24/3.32 % (345752)Time elapsed: 0.107 s
% 11.24/3.32 % (345752)Peak memory usage: 90 MB
% 11.24/3.32 % (345752)Instructions burned: 191 (million)
% 11.24/3.32 % (345762)Instruction limit reached!
% 11.24/3.32 % (345762)------------------------------
% 11.24/3.32 % (345762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345762)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345762)Termination reason: Instruction limit
% 11.24/3.32 % (345762)Termination phase: Saturation
% 11.24/3.32 % (345762)Time elapsed: 0.080 s
% 11.24/3.32 % (345762)Peak memory usage: 89 MB
% 11.24/3.32 % (345762)Instructions burned: 126 (million)
% 11.24/3.32 % (345777)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2803026066:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.24/3.32 % (345777)Instruction limit reached!
% 11.24/3.32 % (345777)------------------------------
% 11.24/3.32 % (345777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345777)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345777)Termination reason: Instruction limit
% 11.24/3.32 % (345777)Termination phase: Saturation
% 11.24/3.32 % (345777)Time elapsed: 0.065 s
% 11.24/3.32 % (345777)Peak memory usage: 89 MB
% 11.24/3.32 % (345777)Instructions burned: 197 (million)
% 11.24/3.32 % (345779)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3578416025:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.24/3.32 % (345780)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1124819338:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.24/3.32 % (345781)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=454496117:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.24/3.32 % (345779)Instruction limit reached!
% 11.24/3.32 % (345779)------------------------------
% 11.24/3.32 % (345779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345779)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345779)Termination reason: Instruction limit
% 11.24/3.32 % (345779)Termination phase: Saturation
% 11.24/3.32 % (345779)Time elapsed: 0.152 s
% 11.24/3.32 % (345779)Peak memory usage: 91 MB
% 11.24/3.32 % (345779)Instructions burned: 158 (million)
% 11.24/3.32 % (345787)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2616268062:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.24/3.32 % (345781)Instruction limit reached!
% 11.24/3.32 % (345781)------------------------------
% 11.24/3.32 % (345781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345781)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345781)Termination reason: Instruction limit
% 11.24/3.32 % (345781)Termination phase: Saturation
% 11.24/3.32 % (345781)Time elapsed: 0.112 s
% 11.24/3.32 % (345781)Peak memory usage: 89 MB
% 11.24/3.32 % (345781)Instructions burned: 106 (million)
% 11.24/3.32 % (345787)Instruction limit reached!
% 11.24/3.32 % (345787)------------------------------
% 11.24/3.32 % (345787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345787)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345787)Termination reason: Instruction limit
% 11.24/3.32 % (345787)Termination phase: Saturation
% 11.24/3.32 % (345787)Time elapsed: 0.065 s
% 11.24/3.32 % (345787)Peak memory usage: 89 MB
% 11.24/3.32 % (345787)Instructions burned: 108 (million)
% 11.24/3.32 % (345815)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3509330257:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.24/3.32 % (345824)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3246657082:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.24/3.32 % (345822)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1366295561:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.24/3.32 % (345824)Instruction limit reached!
% 11.24/3.32 % (345824)------------------------------
% 11.24/3.32 % (345824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345824)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345824)Termination reason: Instruction limit
% 11.24/3.32 % (345824)Termination phase: Saturation
% 11.24/3.32 % (345824)Time elapsed: 0.045 s
% 11.24/3.32 % (345824)Peak memory usage: 88 MB
% 11.24/3.32 % (345824)Instructions burned: 135 (million)
% 11.24/3.32 % (345815)Instruction limit reached!
% 11.24/3.32 % (345815)------------------------------
% 11.24/3.32 % (345815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345815)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345815)Termination reason: Instruction limit
% 11.24/3.32 % (345815)Termination phase: Saturation
% 11.24/3.32 % (345815)Time elapsed: 0.236 s
% 11.24/3.32 % (345815)Peak memory usage: 90 MB
% 11.24/3.32 % (345815)Instructions burned: 243 (million)
% 11.24/3.32 % (345833)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3288548884:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 11.24/3.32 % (345834)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4056173510:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 11.24/3.32 % (345833)Instruction limit reached!
% 11.24/3.32 % (345833)------------------------------
% 11.24/3.32 % (345833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345833)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345833)Termination reason: Instruction limit
% 11.24/3.32 % (345833)Termination phase: Saturation
% 11.24/3.32 % (345833)Time elapsed: 0.256 s
% 11.24/3.32 % (345833)Peak memory usage: 94 MB
% 11.24/3.32 % (345833)Instructions burned: 501 (million)
% 11.24/3.32 % (345834)Instruction limit reached!
% 11.24/3.32 % (345834)------------------------------
% 11.24/3.32 % (345834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345834)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345834)Termination reason: Instruction limit
% 11.24/3.32 % (345834)Termination phase: Saturation
% 11.24/3.32 % (345834)Time elapsed: 0.180 s
% 11.24/3.32 % (345834)Peak memory usage: 89 MB
% 11.24/3.32 % (345834)Instructions burned: 192 (million)
% 11.24/3.32 % (345843)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2646954502:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 11.24/3.32 % (345697)First to succeed.
% 11.24/3.32 % (345697)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-345689"
% 11.24/3.32 % (345844)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4237988975:cond=on:i=156:bs=on:gtg=exists_all:er=known_2981 on theBenchmark for (2981ds/156Mi)
% 11.24/3.32 % (345843)Instruction limit reached!
% 11.24/3.32 % (345843)------------------------------
% 11.24/3.32 % (345843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345843)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345843)Termination reason: Instruction limit
% 11.24/3.32 % (345843)Termination phase: Saturation
% 11.24/3.32 % (345843)Time elapsed: 0.155 s
% 11.24/3.32 % (345843)Peak memory usage: 91 MB
% 11.24/3.32 % (345843)Instructions burned: 265 (million)
% 11.24/3.32 % (345844)Instruction limit reached!
% 11.24/3.32 % (345844)------------------------------
% 11.24/3.32 % (345844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.24/3.32 % (345844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/3.32 % (345844)CaDiCaL version: 2.1.3
% 11.24/3.32 % (345844)Termination reason: Instruction limit
% 11.24/3.32 % (345844)Termination phase: Saturation
% 11.24/3.32 % (345844)Time elapsed: 0.162 s
% 11.24/3.32 % (345844)Peak memory usage: 89 MB
% 11.24/3.32 % (345844)Instructions burned: 156 (million)
% 11.24/3.32 % (345849)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1838090425:i=3256:kws=precedence:bd=preordered:av=off_2979 on theBenchmark for (2979ds/3256Mi)
% 11.24/3.32 % (345697)Refutation found. Thanks to Tanya!
% 11.24/3.32 % SZS status Unsatisfiable for theBenchmark
% 11.24/3.32 % SZS output start Proof for theBenchmark
% See solution above
% 17.89/3.53 % (345697)------------------------------
% 17.89/3.53 % (345697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.53 % (345697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.53 % (345697)CaDiCaL version: 2.1.3
% 17.89/3.53 % (345697)Termination reason: Refutation
% 17.89/3.53 % (345697)Time elapsed: 1.821 s
% 17.89/3.53 % (345697)Peak memory usage: 137 MB
% 17.89/3.53 % (345697)Instructions burned: 2016 (million)
% 17.89/3.53 % (345697)------------------------------
% 17.89/3.53 % (345697)------------------------------
% 17.89/3.53 % (345689)Success in time 2.457 s
% 17.89/3.53 % Vampire exiting
%------------------------------------------------------------------------------