%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM138-1 : 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 12:11:48 PM UTC 2026
% Result : Unsatisfiable 23.30s 4.28s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of formulae : 121 ( 47 unt; 10 def)
% Number of atoms : 312 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 368 ( 177 ~; 191 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-3 aty)
% Number of variables : 190 ( 190 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,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(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(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(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
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(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f56,axiom,
! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_class_definition) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f176,negated_conjecture,
~ subclass(not_subclass_element(intersection(power_class(x),z),x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complete_induction2_1) ).
fof(f177,negated_conjecture,
~ subclass(intersection(power_class(x),z),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complete_induction2_2) ).
fof(f178,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(f179,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f182,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f179,f28]) ).
fof(f185,plain,
! [X0] : power_class(X0) = complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(X0),universal_class)),universal_class))))),
inference(definition_unfolding,[],[f56,f182]) ).
fof(f196,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,f178]) ).
fof(f197,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,f178]) ).
fof(f200,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f178,f178]) ).
fof(f203,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(f207,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(cross_product(universal_class,universal_class),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(definition_unfolding,[],[f38,f178,f178,f178,f178,f178,f178]) ).
fof(f268,plain,
~ subclass(not_subclass_element(intersection(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(x),universal_class)),universal_class))))),z),x),x),
inference(definition_unfolding,[],[f176,f185]) ).
fof(f269,plain,
~ subclass(intersection(complement(domain_of(domain_of(flip(cross_product(intersection(element_relation,cross_product(complement(x),universal_class)),universal_class))))),z),x),
inference(definition_unfolding,[],[f177,f185]) ).
fof(f276,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
cross_product(sF0,universal_class) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = intersection(element_relation,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
intersection(element_relation,sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF3 = cross_product(sF2,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f283,plain,
cross_product(sF2,universal_class) = sF3,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f285,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f284]) ).
fof(f286,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f287,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f286]) ).
fof(f288,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f289,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f288]) ).
fof(f290,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f291,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f290]) ).
fof(f292,definition,
sF8 = intersection(sF7,z),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f293,plain,
intersection(sF7,z) = sF8,
inference(reorient_equations,[],[f292]) ).
fof(f294,definition,
sF9 = not_subclass_element(sF8,x),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f295,plain,
not_subclass_element(sF8,x) = sF9,
inference(reorient_equations,[],[f294]) ).
fof(f296,plain,
~ subclass(sF9,x),
inference(definition_folding,[],[f268,f295,f293,f291,f289,f287,f285,f283,f281,f279,f277]) ).
fof(f297,plain,
~ subclass(sF8,x),
inference(definition_folding,[],[f269,f293,f291,f289,f287,f285,f283,f281,f279,f277]) ).
fof(f299,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f24,f291]) ).
fof(f301,plain,
( member(sF9,sF8)
| subclass(sF8,x) ),
inference(superposition,[],[f2,f295]) ).
fof(f302,plain,
member(sF9,sF8),
inference(forward_subsumption_resolution,[],[f301,f297]) ).
fof(f304,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF0)
| member(X0,x) ),
inference(superposition,[],[f25,f277]) ).
fof(f308,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF2)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f281]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f315,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f21,f293]) ).
fof(f318,plain,
member(sF9,sF7),
inference(resolution,[],[f315,f302]) ).
fof(f340,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f4,f312]) ).
fof(f341,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f340]) ).
fof(f343,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f197,f279]) ).
fof(f344,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| ~ member(X1,universal_class)
| ~ member(X0,sF2) ),
inference(superposition,[],[f197,f283]) ).
fof(f347,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f341,f2]) ).
fof(f350,plain,
member(sF9,universal_class),
inference(resolution,[],[f341,f318]) ).
fof(f357,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X1,universal_class) ),
inference(superposition,[],[f196,f283]) ).
fof(f368,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,f203]) ).
fof(f386,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF0)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),x) ),
inference(resolution,[],[f347,f304]) ).
fof(f391,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,sF0)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f343,f308]) ).
fof(f421,plain,
~ member(sF9,sF6),
inference(resolution,[],[f299,f318]) ).
fof(f425,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f200,f197]) ).
fof(f428,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f425,f341]) ).
fof(f430,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f368,f197]) ).
fof(f454,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f341]) ).
fof(f464,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f589,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))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f207,f197]) ).
fof(f597,plain,
! [X2,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))),sF4)
| ~ 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))),sF3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(superposition,[],[f589,f285]) ).
fof(f600,plain,
! [X2,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))),sF3)
| 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))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(forward_subsumption_resolution,[],[f597,f357]) ).
fof(f603,plain,
! [X2,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))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(resolution,[],[f600,f344]) ).
fof(f607,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| 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))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3)) ),
inference(resolution,[],[f603,f430]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| 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))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF4))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3)) ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f612,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))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(X3,sF5)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3)) ),
inference(forward_demodulation,[],[f611,f287]) ).
fof(f613,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f454,f464]) ).
fof(f618,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f621,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f618]) ).
fof(f622,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f621,f341]) ).
fof(f748,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(X3,sF5)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3)) ),
inference(resolution,[],[f612,f622]) ).
fof(f752,plain,
! [X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(X3,sF5)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3)) ),
inference(condensation,[],[f748]) ).
fof(f757,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))
| member(X2,sF5)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f752,f197]) ).
fof(f795,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,sF0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f428,f391]) ).
fof(f801,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,sF0)
| ~ member(X0,X1) ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f1223,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ),
inference(resolution,[],[f757,f10]) ).
fof(f1225,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f1223]) ).
fof(f1227,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f1225,f11]) ).
fof(f1231,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,X0) ),
inference(resolution,[],[f1227,f801]) ).
fof(f1238,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,X0) ),
inference(duplicate_literal_removal,[],[f1231]) ).
fof(f1242,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,X0) ),
inference(forward_subsumption_resolution,[],[f1238,f341]) ).
fof(f1243,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,X0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(resolution,[],[f1242,f430]) ).
fof(f1247,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,sF0)
| ~ member(X1,X0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f1243,f341]) ).
fof(f1248,plain,
! [X2,X0,X1] :
( ~ member(X1,sF0)
| ~ member(X1,X0)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f1247,f341]) ).
fof(f1249,plain,
! [X2,X0,X1] :
( ~ member(X1,sF0)
| ~ member(X1,X0)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF5))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f1248,f622]) ).
fof(f1250,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X2,X2))
| ~ member(X1,sF0)
| ~ member(X1,X0)
| ~ member(X2,universal_class)
| member(X2,sF6) ),
inference(forward_demodulation,[],[f1249,f289]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ member(X0,sF0)
| ~ member(X0,X1)
| ~ member(X1,universal_class)
| member(X1,sF6)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f1250,f10]) ).
fof(f1262,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| ~ member(X0,X1)
| ~ member(X0,sF0)
| member(X1,sF6) ),
inference(duplicate_literal_removal,[],[f1252]) ).
fof(f1282,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF0)
| member(sF9,sF6) ),
inference(resolution,[],[f1262,f350]) ).
fof(f1283,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f1282,f421]) ).
fof(f1284,plain,
! [X0] :
( ~ member(not_subclass_element(sF9,X0),sF0)
| subclass(sF9,X0) ),
inference(resolution,[],[f1283,f2]) ).
fof(f1293,plain,
! [X0] :
( subclass(sF9,X0)
| subclass(sF9,X0)
| member(not_subclass_element(sF9,X0),x) ),
inference(resolution,[],[f1284,f386]) ).
fof(f1294,plain,
! [X0] :
( member(not_subclass_element(sF9,X0),x)
| subclass(sF9,X0) ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1295,plain,
( subclass(sF9,x)
| subclass(sF9,x) ),
inference(resolution,[],[f1294,f3]) ).
fof(f1298,plain,
subclass(sF9,x),
inference(duplicate_literal_removal,[],[f1295]) ).
fof(f1299,plain,
$false,
inference(forward_subsumption_resolution,[],[f1298,f296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM138-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 19:02:11 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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
% 16.80/3.40 % (3144204)Input is clausal, will run a generic CNF schedule.
% 16.80/3.40 % (3144209)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=1610911495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.80/3.40 % (3144215)dis-21_1_sil=8000:lcm=predicate:random_seed=2831935340: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)
% 16.80/3.40 % (3144210)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2203920429:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.80/3.40 % (3144212)lrs+10_1_sil=8000:sp=occurrence:random_seed=3720171476:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.80/3.40 % (3144214)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3689378841:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.80/3.40 % (3144213)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=824681006:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.80/3.40 % (3144211)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4093665400:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.80/3.40 % (3144213)Instruction limit reached!
% 16.80/3.40 % (3144213)------------------------------
% 16.80/3.40 % (3144213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.80/3.40 % (3144213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.40 % (3144213)CaDiCaL version: 2.1.3
% 16.80/3.40 % (3144213)Termination reason: Instruction limit
% 16.80/3.40 % (3144213)Termination phase: Saturation
% 16.80/3.40 % (3144213)Time elapsed: 0.112 s
% 16.80/3.40 % (3144213)Peak memory usage: 89 MB
% 16.80/3.40 % (3144213)Instructions burned: 114 (million)
% 16.80/3.40 % (3144215)Instruction limit reached!
% 16.80/3.40 % (3144215)------------------------------
% 16.80/3.40 % (3144215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.80/3.40 % (3144215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.40 % (3144215)CaDiCaL version: 2.1.3
% 16.80/3.40 % (3144215)Termination reason: Instruction limit
% 16.80/3.40 % (3144215)Termination phase: Saturation
% 16.80/3.40 % (3144215)Time elapsed: 0.115 s
% 16.80/3.40 % (3144215)Peak memory usage: 89 MB
% 16.80/3.40 % (3144215)Instructions burned: 117 (million)
% 16.80/3.40 % (3144212)Instruction limit reached!
% 16.80/3.40 % (3144212)------------------------------
% 16.80/3.40 % (3144212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.80/3.40 % (3144212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.40 % (3144212)CaDiCaL version: 2.1.3
% 16.80/3.40 % (3144212)Termination reason: Instruction limit
% 16.80/3.40 % (3144212)Termination phase: Saturation
% 16.80/3.40 % (3144212)Time elapsed: 0.116 s
% 16.80/3.40 % (3144212)Peak memory usage: 89 MB
% 16.80/3.40 % (3144212)Instructions burned: 107 (million)
% 16.80/3.40 % (3144214)Instruction limit reached!
% 16.80/3.40 % (3144214)------------------------------
% 16.80/3.40 % (3144214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.80/3.40 % (3144214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.40 % (3144214)CaDiCaL version: 2.1.3
% 16.80/3.40 % (3144214)Termination reason: Instruction limit
% 16.80/3.40 % (3144214)Termination phase: Saturation
% 16.80/3.40 % (3144214)Time elapsed: 0.211 s
% 16.80/3.40 % (3144214)Peak memory usage: 90 MB
% 16.80/3.40 % (3144214)Instructions burned: 180 (million)
% 16.80/3.40 % (3144223)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=2211465144:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 16.80/3.40 % (3144223)Refutation not found, incomplete strategy
% 16.80/3.40 % (3144223)------------------------------
% 16.80/3.40 % (3144223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.80/3.40 % (3144223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.40 % (3144223)CaDiCaL version: 2.1.3
% 16.80/3.40 % (3144223)Termination reason: Refutation not found, incomplete strategy
% 16.80/3.40 % (3144223)Time elapsed: 0.005 s
% 16.80/3.40 % (3144223)Peak memory usage: 88 MB
% 16.80/3.40 % (3144223)Instructions burned: 3 (million)
% 16.80/3.40 % (3144224)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1202611733:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 23.30/4.28 % (3144225)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1805983540:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 23.30/4.28 % (3144225)Refutation not found, incomplete strategy
% 23.30/4.28 % (3144225)------------------------------
% 23.30/4.28 % (3144225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144225)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144225)Termination reason: Refutation not found, incomplete strategy
% 23.30/4.28 % (3144225)Time elapsed: 0.006 s
% 23.30/4.28 % (3144225)Peak memory usage: 88 MB
% 23.30/4.28 % (3144225)Instructions burned: 5 (million)
% 23.30/4.28 % (3144226)lrs+10_64_to=lpo:sil=8000:random_seed=3930927440:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 23.30/4.28 % (3144224)Instruction limit reached!
% 23.30/4.28 % (3144224)------------------------------
% 23.30/4.28 % (3144224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144224)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144224)Termination reason: Instruction limit
% 23.30/4.28 % (3144224)Termination phase: Saturation
% 23.30/4.28 % (3144224)Time elapsed: 0.178 s
% 23.30/4.28 % (3144224)Peak memory usage: 90 MB
% 23.30/4.28 % (3144224)Instructions burned: 189 (million)
% 23.30/4.28 % (3144226)Instruction limit reached!
% 23.30/4.28 % (3144226)------------------------------
% 23.30/4.28 % (3144226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144226)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144226)Termination reason: Instruction limit
% 23.30/4.28 % (3144226)Termination phase: Saturation
% 23.30/4.28 % (3144226)Time elapsed: 0.130 s
% 23.30/4.28 % (3144226)Peak memory usage: 89 MB
% 23.30/4.28 % (3144226)Instructions burned: 126 (million)
% 23.30/4.28 % (3144223)------------------------------
% 23.30/4.28 % (3144223)------------------------------
% 23.30/4.28 % (3144231)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2757282020:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 23.30/4.28 % (3144225)------------------------------
% 23.30/4.28 % (3144225)------------------------------
% 23.30/4.28 % (3144232)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1190627726:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 23.30/4.28 % (3144233)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=684401149:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 23.30/4.28 % (3144231)Instruction limit reached!
% 23.30/4.28 % (3144231)------------------------------
% 23.30/4.28 % (3144231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144231)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144231)Termination reason: Instruction limit
% 23.30/4.28 % (3144231)Termination phase: Saturation
% 23.30/4.28 % (3144231)Time elapsed: 0.192 s
% 23.30/4.28 % (3144231)Peak memory usage: 90 MB
% 23.30/4.28 % (3144231)Instructions burned: 194 (million)
% 23.30/4.28 % (3144232)Instruction limit reached!
% 23.30/4.28 % (3144232)------------------------------
% 23.30/4.28 % (3144232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144232)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144232)Termination reason: Instruction limit
% 23.30/4.28 % (3144232)Termination phase: Saturation
% 23.30/4.28 % (3144232)Time elapsed: 0.172 s
% 23.30/4.28 % (3144232)Peak memory usage: 91 MB
% 23.30/4.28 % (3144232)Instructions burned: 157 (million)
% 23.30/4.28 % (3144235)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=3819043179:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 23.30/4.28 % (3144235)Instruction limit reached!
% 23.30/4.28 % (3144235)------------------------------
% 23.30/4.28 % (3144235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144235)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144235)Termination reason: Instruction limit
% 23.30/4.28 % (3144235)Termination phase: Saturation
% 23.30/4.28 % (3144235)Time elapsed: 0.089 s
% 23.30/4.28 % (3144235)Peak memory usage: 89 MB
% 23.30/4.28 % (3144235)Instructions burned: 106 (million)
% 23.30/4.28 % (3144238)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4186986874:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 23.30/4.28 % (3144240)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=83873129:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 23.30/4.28 % (3144238)Instruction limit reached!
% 23.30/4.28 % (3144238)------------------------------
% 23.30/4.28 % (3144238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144238)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144238)Termination reason: Instruction limit
% 23.30/4.28 % (3144238)Termination phase: Saturation
% 23.30/4.28 % (3144238)Time elapsed: 0.117 s
% 23.30/4.28 % (3144238)Peak memory usage: 89 MB
% 23.30/4.28 % (3144238)Instructions burned: 108 (million)
% 23.30/4.28 % (3144243)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3037809169:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 23.30/4.28 % (3144240)Instruction limit reached!
% 23.30/4.28 % (3144240)------------------------------
% 23.30/4.28 % (3144240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144240)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144240)Termination reason: Instruction limit
% 23.30/4.28 % (3144240)Termination phase: Saturation
% 23.30/4.28 % (3144240)Time elapsed: 0.227 s
% 23.30/4.28 % (3144240)Peak memory usage: 91 MB
% 23.30/4.28 % (3144240)Instructions burned: 243 (million)
% 23.30/4.28 % (3144246)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1470437821:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 23.30/4.28 % (3144246)Instruction limit reached!
% 23.30/4.28 % (3144246)------------------------------
% 23.30/4.28 % (3144246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144246)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144246)Termination reason: Instruction limit
% 23.30/4.28 % (3144246)Termination phase: Saturation
% 23.30/4.28 % (3144246)Time elapsed: 0.134 s
% 23.30/4.28 % (3144246)Peak memory usage: 90 MB
% 23.30/4.28 % (3144246)Instructions burned: 134 (million)
% 23.30/4.28 % (3144248)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1323132789:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 23.30/4.28 % (3144250)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2554653859:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 23.30/4.28 % (3144250)Instruction limit reached!
% 23.30/4.28 % (3144250)------------------------------
% 23.30/4.28 % (3144250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144250)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144250)Termination reason: Instruction limit
% 23.30/4.28 % (3144250)Termination phase: Saturation
% 23.30/4.28 % (3144250)Time elapsed: 0.170 s
% 23.30/4.28 % (3144250)Peak memory usage: 89 MB
% 23.30/4.28 % (3144250)Instructions burned: 191 (million)
% 23.30/4.28 % (3144248)Instruction limit reached!
% 23.30/4.28 % (3144248)------------------------------
% 23.30/4.28 % (3144248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144248)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144248)Termination reason: Instruction limit
% 23.30/4.28 % (3144248)Termination phase: Saturation
% 23.30/4.28 % (3144248)Time elapsed: 0.494 s
% 23.30/4.28 % (3144248)Peak memory usage: 95 MB
% 23.30/4.28 % (3144248)Instructions burned: 499 (million)
% 23.30/4.28 % (3144253)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4031123417:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 23.30/4.28 % (3144254)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2637130463:cond=on:i=156:bs=on:gtg=exists_all:er=known_2976 on theBenchmark for (2976ds/156Mi)
% 23.30/4.28 % (3144253)Instruction limit reached!
% 23.30/4.28 % (3144253)------------------------------
% 23.30/4.28 % (3144253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144253)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144253)Termination reason: Instruction limit
% 23.30/4.28 % (3144253)Termination phase: Saturation
% 23.30/4.28 % (3144253)Time elapsed: 0.258 s
% 23.30/4.28 % (3144253)Peak memory usage: 92 MB
% 23.30/4.28 % (3144253)Instructions burned: 264 (million)
% 23.30/4.28 % (3144254)Instruction limit reached!
% 23.30/4.28 % (3144254)------------------------------
% 23.30/4.28 % (3144254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (3144254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (3144254)CaDiCaL version: 2.1.3
% 23.30/4.28 % (3144254)Termination reason: Instruction limit
% 23.30/4.28 % (3144254)Termination phase: Saturation
% 23.30/4.28 % (3144254)Time elapsed: 0.148 s
% 23.30/4.28 % (3144254)Peak memory usage: 89 MB
% 23.30/4.28 % (3144254)Instructions burned: 157 (million)
% 23.30/4.28 % (3144243)First to succeed.
% 23.30/4.28 % (3144243)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3144204"
% 23.30/4.28 % (3144257)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=978711767:i=3256:kws=precedence:bd=preordered:av=off_2973 on theBenchmark for (2973ds/3256Mi)
% 23.30/4.28 % (3144258)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=994955420:i=537:av=off:ss=included_2972 on theBenchmark for (2972ds/537Mi)
% 23.30/4.28 % (3144243)Refutation found. Thanks to Tanya!
% 23.30/4.28 % SZS status Unsatisfiable for theBenchmark
% 23.30/4.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/4.50 % (3144243)------------------------------
% 0.23/4.50 % (3144243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/4.50 % (3144243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/4.50 % (3144243)CaDiCaL version: 2.1.3
% 0.23/4.50 % (3144243)Termination reason: Refutation
% 0.23/4.50 % (3144243)Time elapsed: 1.375 s
% 0.23/4.50 % (3144243)Peak memory usage: 132 MB
% 0.23/4.50 % (3144243)Instructions burned: 1345 (million)
% 0.23/4.50 % (3144243)------------------------------
% 0.23/4.50 % (3144243)------------------------------
% 0.23/4.50 % (3144204)Success in time 3.298 s
% 0.23/4.50 % Vampire exiting
%------------------------------------------------------------------------------