%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET547-6 : 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 : n004.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 12:41:08 PM UTC 2026
% Result : Unsatisfiable 14.39s 2.96s
% Output : Refutation 15.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 35
% Syntax : Number of formulae : 129 ( 68 unt; 10 def)
% Number of atoms : 211 ( 107 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 158 ( 76 ~; 82 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 14 con; 0-3 aty)
% Number of variables : 170 ( 170 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(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(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
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(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip2) ).
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(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_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(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(f71,axiom,
! [X0,X1] : sum_class(image(X0,singleton(X1))) = apply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply) ).
fof(f122,negated_conjecture,
apply(x,universal_class) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_application_special_case3_1) ).
fof(f123,plain,
null_class != apply(x,universal_class),
inference(reorient_equations,[],[f122]) ).
fof(f124,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f126,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,f125,f28]) ).
fof(f127,plain,
! [X0,X1] : apply(X0,X1) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f71,f124,f126,f12]) ).
fof(f128,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(f137,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,f128]) ).
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(X1,X3) ),
inference(definition_unfolding,[],[f15,f128]) ).
fof(f140,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f128]) ).
fof(f143,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f144,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(f148,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))),flip(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))),X3) ),
inference(definition_unfolding,[],[f37,f128,f128,f128,f128]) ).
fof(f186,plain,
null_class != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(x,cross_product(unordered_pair(universal_class,universal_class),universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f123,f127]) ).
fof(f191,definition,
sF0 = unordered_pair(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
unordered_pair(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
cross_product(sF0,universal_class) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = intersection(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
intersection(x,sF1) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF3 = cross_product(sF2,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f198,plain,
cross_product(sF2,universal_class) = sF3,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f200,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f199]) ).
fof(f201,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f202,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f201]) ).
fof(f203,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f204,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f203]) ).
fof(f205,definition,
sF7 = cross_product(universal_class,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f206,plain,
cross_product(universal_class,sF6) = sF7,
inference(reorient_equations,[],[f205]) ).
fof(f207,definition,
sF8 = intersection(element_relation,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f208,plain,
intersection(element_relation,sF7) = sF8,
inference(reorient_equations,[],[f207]) ).
fof(f209,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f210,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f209]) ).
fof(f211,plain,
null_class != sF9,
inference(definition_folding,[],[f186,f210,f208,f206,f204,f202,f200,f198,f196,f194,f192]) ).
fof(f225,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f232,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f22,f196]) ).
fof(f239,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f137,f140]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f140]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f252]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f251]) ).
fof(f279,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f254,f68]) ).
fof(f281,plain,
! [X0] :
( member(first(X0),sF2)
| ~ member(X0,sF3) ),
inference(superposition,[],[f254,f198]) ).
fof(f285,plain,
! [X0] :
( member(first(X0),sF1)
| ~ member(X0,sF3) ),
inference(resolution,[],[f281,f232]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0))))),unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X1,X1))),X2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f148,f140]) ).
fof(f307,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f24,f68]) ).
fof(f310,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f253,f68]) ).
fof(f316,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f240,f4]) ).
fof(f321,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f316]) ).
fof(f323,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f321,f68]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| null_class = X0
| member(first(regular(X0)),X1) ),
inference(resolution,[],[f239,f254]) ).
fof(f521,plain,
! [X0] :
( ~ member(X0,sF0)
| universal_class = X0
| universal_class = X0 ),
inference(superposition,[],[f8,f192]) ).
fof(f523,plain,
! [X0] :
( ~ member(X0,sF0)
| universal_class = X0 ),
inference(duplicate_literal_removal,[],[f521]) ).
fof(f526,plain,
( universal_class = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f523,f68]) ).
fof(f569,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f36,f414]) ).
fof(f739,plain,
( null_class = intersection(sF0,universal_class)
| null_class = sF0
| null_class = sF0 ),
inference(superposition,[],[f70,f526]) ).
fof(f742,plain,
( null_class = intersection(sF0,universal_class)
| null_class = sF0 ),
inference(duplicate_literal_removal,[],[f739]) ).
fof(f1099,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f307,f323]) ).
fof(f1106,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1099]) ).
fof(f1109,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1106]) ).
fof(f1110,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1109,f321]) ).
fof(f1115,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f1110,f279]) ).
fof(f1117,plain,
! [X0] : null_class = cross_product(X0,null_class),
inference(resolution,[],[f1110,f310]) ).
fof(f1124,plain,
! [X1] : intersection(null_class,X1) = intersection(X1,null_class),
inference(superposition,[],[f143,f1115]) ).
fof(f1322,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f225,f1110]) ).
fof(f1360,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(superposition,[],[f1124,f1322]) ).
fof(f1366,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f1322]) ).
fof(f1369,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f1366]) ).
fof(f1374,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f1369,f68]) ).
fof(f1472,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| ~ member(X0,sF0)
| null_class = sF0 ),
inference(superposition,[],[f23,f742]) ).
fof(f1473,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,sF0)
| null_class = sF0 ),
inference(forward_subsumption_resolution,[],[f1472,f1110]) ).
fof(f1475,plain,
! [X0] :
( ~ member(X0,sF0)
| null_class = sF0 ),
inference(forward_subsumption_resolution,[],[f1473,f321]) ).
fof(f1479,plain,
( null_class = sF0
| null_class = sF0 ),
inference(resolution,[],[f1475,f68]) ).
fof(f1486,plain,
null_class = sF0,
inference(duplicate_literal_removal,[],[f1479]) ).
fof(f1487,plain,
sF1 = cross_product(null_class,universal_class),
inference(superposition,[],[f194,f1486]) ).
fof(f1496,plain,
null_class = sF1,
inference(forward_demodulation,[],[f1487,f1115]) ).
fof(f1503,plain,
! [X0] :
( member(first(X0),null_class)
| ~ member(X0,sF3) ),
inference(superposition,[],[f285,f1496]) ).
fof(f1510,plain,
! [X0] : ~ member(X0,sF3),
inference(forward_subsumption_resolution,[],[f1503,f1110]) ).
fof(f1518,plain,
null_class = sF3,
inference(resolution,[],[f1510,f68]) ).
fof(f1523,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(sF3))
| ~ member(X0,cross_product(X2,X3)) ),
inference(resolution,[],[f1510,f290]) ).
fof(f1526,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X0,cross_product(X2,X3)) ),
inference(forward_demodulation,[],[f1523,f200]) ).
fof(f1529,plain,
sF4 = flip(null_class),
inference(superposition,[],[f200,f1518]) ).
fof(f1605,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(first(X0),cross_product(X1,X2))
| ~ member(X0,sF4)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f1526,f140]) ).
fof(f1610,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f1605,f569]) ).
fof(f1629,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) ),
inference(resolution,[],[f1610,f239]) ).
fof(f1644,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| ~ member(regular(flip(X0)),sF4) ),
inference(duplicate_literal_removal,[],[f1629]) ).
fof(f1652,plain,
! [X0] :
( ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f1644,f36]) ).
fof(f1674,plain,
( ~ member(regular(sF4),sF4)
| null_class = flip(null_class) ),
inference(superposition,[],[f1652,f1529]) ).
fof(f1679,plain,
( null_class = sF4
| ~ member(regular(sF4),sF4) ),
inference(forward_demodulation,[],[f1674,f1529]) ).
fof(f1681,plain,
null_class = sF4,
inference(forward_subsumption_resolution,[],[f1679,f68]) ).
fof(f1683,plain,
sF5 = domain_of(null_class),
inference(superposition,[],[f202,f1681]) ).
fof(f1693,plain,
null_class = sF5,
inference(forward_demodulation,[],[f1683,f1374]) ).
fof(f1697,plain,
sF6 = domain_of(null_class),
inference(superposition,[],[f204,f1693]) ).
fof(f1698,plain,
null_class = sF6,
inference(forward_demodulation,[],[f1697,f1374]) ).
fof(f1699,plain,
sF7 = cross_product(universal_class,null_class),
inference(superposition,[],[f206,f1698]) ).
fof(f1707,plain,
null_class = sF7,
inference(forward_demodulation,[],[f1699,f1117]) ).
fof(f1708,plain,
sF8 = intersection(element_relation,null_class),
inference(superposition,[],[f208,f1707]) ).
fof(f1719,plain,
null_class = sF8,
inference(forward_demodulation,[],[f1708,f1360]) ).
fof(f1725,plain,
sF9 = domain_of(null_class),
inference(superposition,[],[f210,f1719]) ).
fof(f1726,plain,
null_class = sF9,
inference(forward_demodulation,[],[f1725,f1374]) ).
fof(f1728,plain,
$false,
inference(forward_subsumption_resolution,[],[f1726,f211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET547-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n004.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 28 02:07:22 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 11.25/2.46 % (4077679)Input is clausal, will run a generic CNF schedule.
% 11.25/2.46 % (4077688)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=708099343:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.25/2.46 % (4077688)Instruction limit reached!
% 11.25/2.46 % (4077688)------------------------------
% 11.25/2.46 % (4077688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (4077688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (4077688)CaDiCaL version: 2.1.3
% 11.25/2.46 % (4077688)Termination reason: Instruction limit
% 11.25/2.46 % (4077688)Termination phase: Saturation
% 11.25/2.46 % (4077688)Time elapsed: 0.036 s
% 11.25/2.46 % (4077688)Peak memory usage: 88 MB
% 11.25/2.46 % (4077688)Instructions burned: 115 (million)
% 11.25/2.46 % (4077690)dis-21_1_sil=8000:lcm=predicate:random_seed=3200571241: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)
% 11.25/2.46 % (4077685)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1600547649:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.25/2.46 % (4077684)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=1983177799:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.25/2.46 % (4077686)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1250143838:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.25/2.46 % (4077687)lrs+10_1_sil=8000:sp=occurrence:random_seed=3159023038:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.25/2.46 % (4077689)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3163866752:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.25/2.46 % (4077690)Instruction limit reached!
% 11.25/2.46 % (4077690)------------------------------
% 11.25/2.46 % (4077690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (4077690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (4077690)CaDiCaL version: 2.1.3
% 11.25/2.46 % (4077690)Termination reason: Instruction limit
% 11.25/2.46 % (4077690)Termination phase: Saturation
% 11.25/2.46 % (4077690)Time elapsed: 0.064 s
% 11.25/2.46 % (4077690)Peak memory usage: 89 MB
% 11.25/2.46 % (4077690)Instructions burned: 117 (million)
% 11.25/2.46 % (4077687)Instruction limit reached!
% 11.25/2.46 % (4077687)------------------------------
% 11.25/2.46 % (4077687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (4077687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (4077687)CaDiCaL version: 2.1.3
% 11.25/2.46 % (4077687)Termination reason: Instruction limit
% 11.25/2.46 % (4077687)Termination phase: Saturation
% 11.25/2.46 % (4077687)Time elapsed: 0.072 s
% 11.25/2.46 % (4077687)Peak memory usage: 89 MB
% 11.25/2.46 % (4077687)Instructions burned: 108 (million)
% 11.25/2.46 % (4077689)Instruction limit reached!
% 11.25/2.46 % (4077689)------------------------------
% 11.25/2.46 % (4077689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (4077689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (4077689)CaDiCaL version: 2.1.3
% 11.25/2.46 % (4077689)Termination reason: Instruction limit
% 11.25/2.46 % (4077689)Termination phase: Saturation
% 11.25/2.46 % (4077689)Time elapsed: 0.073 s
% 11.25/2.46 % (4077689)Peak memory usage: 90 MB
% 11.25/2.46 % (4077689)Instructions burned: 182 (million)
% 11.25/2.46 % (4077698)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=1500147344:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.25/2.46 % (4077698)Refutation not found, incomplete strategy
% 11.25/2.46 % (4077698)------------------------------
% 11.25/2.46 % (4077698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (4077698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (4077698)CaDiCaL version: 2.1.3
% 11.25/2.46 % (4077698)Termination reason: Refutation not found, incomplete strategy
% 11.25/2.46 % (4077698)Time elapsed: 0.004 s
% 11.25/2.46 % (4077698)Peak memory usage: 88 MB
% 11.25/2.46 % (4077698)Instructions burned: 4 (million)
% 11.25/2.46 % (4077700)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3551638739:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.39/2.96 % (4077700)Refutation not found, incomplete strategy
% 14.39/2.96 % (4077700)------------------------------
% 14.39/2.96 % (4077700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077700)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077700)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.96 % (4077700)Time elapsed: 0.002 s
% 14.39/2.96 % (4077700)Peak memory usage: 88 MB
% 14.39/2.96 % (4077700)Instructions burned: 3 (million)
% 14.39/2.96 % (4077699)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2404446103: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)
% 14.39/2.96 % (4077701)lrs+10_64_to=lpo:sil=8000:random_seed=3556077777:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 14.39/2.96 % (4077701)Instruction limit reached!
% 14.39/2.96 % (4077701)------------------------------
% 14.39/2.96 % (4077701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077701)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077701)Termination reason: Instruction limit
% 14.39/2.96 % (4077701)Termination phase: Saturation
% 14.39/2.96 % (4077701)Time elapsed: 0.080 s
% 14.39/2.96 % (4077701)Peak memory usage: 89 MB
% 14.39/2.96 % (4077701)Instructions burned: 127 (million)
% 14.39/2.96 % (4077699)Instruction limit reached!
% 14.39/2.96 % (4077699)------------------------------
% 14.39/2.96 % (4077699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077699)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077699)Termination reason: Instruction limit
% 14.39/2.96 % (4077699)Termination phase: Saturation
% 14.39/2.96 % (4077699)Time elapsed: 0.101 s
% 14.39/2.96 % (4077699)Peak memory usage: 90 MB
% 14.39/2.96 % (4077699)Instructions burned: 189 (million)
% 14.39/2.96 % (4077700)------------------------------
% 14.39/2.96 % (4077700)------------------------------
% 14.39/2.96 % (4077698)------------------------------
% 14.39/2.96 % (4077698)------------------------------
% 14.39/2.96 % (4077708)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2146687730:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.39/2.96 % (4077706)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2141657962:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.39/2.96 % (4077707)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2673451280:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 14.39/2.96 % (4077709)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=1195537849:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 14.39/2.96 % (4077706)Instruction limit reached!
% 14.39/2.96 % (4077706)------------------------------
% 14.39/2.96 % (4077706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077706)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077706)Termination reason: Instruction limit
% 14.39/2.96 % (4077706)Termination phase: Saturation
% 14.39/2.96 % (4077706)Time elapsed: 0.116 s
% 14.39/2.96 % (4077706)Peak memory usage: 89 MB
% 14.39/2.96 % (4077706)Instructions burned: 194 (million)
% 14.39/2.96 % (4077707)Instruction limit reached!
% 14.39/2.96 % (4077707)------------------------------
% 14.39/2.96 % (4077707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077707)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077707)Termination reason: Instruction limit
% 14.39/2.96 % (4077707)Termination phase: Saturation
% 14.39/2.96 % (4077707)Time elapsed: 0.109 s
% 14.39/2.96 % (4077707)Peak memory usage: 91 MB
% 14.39/2.96 % (4077707)Instructions burned: 158 (million)
% 14.39/2.96 % (4077709)Instruction limit reached!
% 14.39/2.96 % (4077709)------------------------------
% 14.39/2.96 % (4077709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077709)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077709)Termination reason: Instruction limit
% 14.39/2.96 % (4077709)Termination phase: Saturation
% 14.39/2.96 % (4077709)Time elapsed: 0.065 s
% 14.39/2.96 % (4077709)Peak memory usage: 90 MB
% 14.39/2.96 % (4077709)Instructions burned: 107 (million)
% 14.39/2.96 % (4077714)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=191004696:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 14.39/2.96 % (4077714)Refutation not found, incomplete strategy
% 14.39/2.96 % (4077714)------------------------------
% 14.39/2.96 % (4077714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077714)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077714)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.96 % (4077714)Time elapsed: 0.005 s
% 14.39/2.96 % (4077714)Peak memory usage: 88 MB
% 14.39/2.96 % (4077714)Instructions burned: 8 (million)
% 14.39/2.96 % (4077715)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2495638287:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.39/2.96 % (4077716)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3797471089:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 14.39/2.96 % (4077715)Instruction limit reached!
% 14.39/2.96 % (4077715)------------------------------
% 14.39/2.96 % (4077715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077715)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077715)Termination reason: Instruction limit
% 14.39/2.96 % (4077715)Termination phase: Saturation
% 14.39/2.96 % (4077715)Time elapsed: 0.159 s
% 14.39/2.96 % (4077715)Peak memory usage: 90 MB
% 14.39/2.96 % (4077715)Instructions burned: 244 (million)
% 14.39/2.96 % (4077714)------------------------------
% 14.39/2.96 % (4077714)------------------------------
% 14.39/2.96 % (4077720)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3422834190:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 14.39/2.96 % (4077721)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1411137232:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 14.39/2.96 % (4077720)Instruction limit reached!
% 14.39/2.96 % (4077720)------------------------------
% 14.39/2.96 % (4077720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077720)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077720)Termination reason: Instruction limit
% 14.39/2.96 % (4077720)Termination phase: Saturation
% 14.39/2.96 % (4077720)Time elapsed: 0.099 s
% 14.39/2.96 % (4077720)Peak memory usage: 90 MB
% 14.39/2.96 % (4077720)Instructions burned: 134 (million)
% 14.39/2.96 % (4077724)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2486242033:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 14.39/2.96 % (4077721)Instruction limit reached!
% 14.39/2.96 % (4077721)------------------------------
% 14.39/2.96 % (4077721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077721)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077721)Termination reason: Instruction limit
% 14.39/2.96 % (4077721)Termination phase: Saturation
% 14.39/2.96 % (4077721)Time elapsed: 0.292 s
% 14.39/2.96 % (4077721)Peak memory usage: 93 MB
% 14.39/2.96 % (4077721)Instructions burned: 501 (million)
% 14.39/2.96 % (4077724)Instruction limit reached!
% 14.39/2.96 % (4077724)------------------------------
% 14.39/2.96 % (4077724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077724)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077724)Termination reason: Instruction limit
% 14.39/2.96 % (4077724)Termination phase: Saturation
% 14.39/2.96 % (4077724)Time elapsed: 0.109 s
% 14.39/2.96 % (4077724)Peak memory usage: 89 MB
% 14.39/2.96 % (4077724)Instructions burned: 191 (million)
% 14.39/2.96 % (4077708)Instruction limit reached!
% 14.39/2.96 % (4077708)------------------------------
% 14.39/2.96 % (4077708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077708)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077708)Termination reason: Instruction limit
% 14.39/2.96 % (4077708)Termination phase: Saturation
% 14.39/2.96 % (4077708)Time elapsed: 1.110 s
% 14.39/2.96 % (4077708)Peak memory usage: 145 MB
% 14.39/2.96 % (4077708)Instructions burned: 3395 (million)
% 14.39/2.96 % (4077726)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1066171554:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 14.39/2.96 % (4077727)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3495751472:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 14.39/2.96 % (4077716)First to succeed.
% 14.39/2.96 % (4077716)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4077679"
% 14.39/2.96 % (4077728)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=3071407211:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 14.39/2.96 % (4077727)Instruction limit reached!
% 14.39/2.96 % (4077727)------------------------------
% 14.39/2.96 % (4077727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077727)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077727)Termination reason: Instruction limit
% 14.39/2.96 % (4077727)Termination phase: Saturation
% 14.39/2.96 % (4077727)Time elapsed: 0.108 s
% 14.39/2.96 % (4077727)Peak memory usage: 90 MB
% 14.39/2.96 % (4077727)Instructions burned: 157 (million)
% 14.39/2.96 % (4077726)Instruction limit reached!
% 14.39/2.96 % (4077726)------------------------------
% 14.39/2.96 % (4077726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077726)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077726)Termination reason: Instruction limit
% 14.39/2.96 % (4077726)Termination phase: Saturation
% 14.39/2.96 % (4077726)Time elapsed: 0.178 s
% 14.39/2.96 % (4077726)Peak memory usage: 92 MB
% 14.39/2.96 % (4077726)Instructions burned: 265 (million)
% 14.39/2.96 % (4077732)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2911066036:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 14.39/2.96 % (4077732)Refutation not found, incomplete strategy
% 14.39/2.96 % (4077732)------------------------------
% 14.39/2.96 % (4077732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.39/2.96 % (4077732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.96 % (4077732)CaDiCaL version: 2.1.3
% 14.39/2.96 % (4077732)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.96 % (4077732)Time elapsed: 0.001 s
% 14.39/2.96 % (4077732)Peak memory usage: 87 MB
% 14.39/2.96 % (4077733)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2938159760:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 14.39/2.96 % (4077716)Refutation found. Thanks to Tanya!
% 14.39/2.96 % SZS status Unsatisfiable for theBenchmark
% 14.39/2.96 % SZS output start Proof for theBenchmark
% See solution above
% 15.59/3.14 % (4077716)------------------------------
% 15.59/3.14 % (4077716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.59/3.14 % (4077716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/3.14 % (4077716)CaDiCaL version: 2.1.3
% 15.59/3.14 % (4077716)Termination reason: Refutation
% 15.59/3.14 % (4077716)Time elapsed: 0.902 s
% 15.59/3.14 % (4077716)Peak memory usage: 132 MB
% 15.59/3.14 % (4077716)Instructions burned: 1371 (million)
% 15.59/3.14 % (4077716)------------------------------
% 15.59/3.14 % (4077716)------------------------------
% 15.59/3.14 % (4077679)Success in time 2.119 s
% 15.59/3.14 % Vampire exiting
%------------------------------------------------------------------------------