%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET218-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:40:32 PM UTC 2026
% Result : Unsatisfiable 14.41s 3.00s
% Output : Refutation 15.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 143 ( 34 unt; 11 def)
% Number of atoms : 334 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 334 ( 143 ~; 191 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 15 con; 0-2 aty)
% Number of variables : 183 ( 183 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f122,negated_conjecture,
union(cross_product(x,z),cross_product(y,z)) != cross_product(union(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_over_union1_1) ).
fof(f127,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(f136,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,f127]) ).
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(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,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,f127]) ).
fof(f139,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,f127]) ).
fof(f185,plain,
complement(intersection(complement(cross_product(x,z)),complement(cross_product(y,z)))) != cross_product(complement(intersection(complement(x),complement(y))),z),
inference(definition_unfolding,[],[f122,f26,f26]) ).
fof(f190,definition,
sF0 = cross_product(x,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(x,z) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = cross_product(y,z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
cross_product(y,z) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = intersection(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
intersection(sF1,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = complement(x),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
complement(x) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = complement(y),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
complement(y) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF8 = intersection(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f207,plain,
intersection(sF6,sF7) = sF8,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f209,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF10 = cross_product(sF9,z),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f211,plain,
cross_product(sF9,z) = sF10,
inference(reorient_equations,[],[f210]) ).
fof(f212,plain,
sF5 != sF10,
inference(definition_folding,[],[f185,f211,f209,f207,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f213,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,x) ),
inference(superposition,[],[f24,f203]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,y) ),
inference(superposition,[],[f24,f205]) ).
fof(f216,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f24,f193]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2) ),
inference(superposition,[],[f24,f197]) ).
fof(f221,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF8) ),
inference(superposition,[],[f24,f209]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f138,f139]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f136,f139]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f228]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,sF4) ),
inference(superposition,[],[f24,f201]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f137,f139]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f235]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f242,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF4)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f199]) ).
fof(f243,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF8)
| ~ member(X0,sF6) ),
inference(superposition,[],[f23,f207]) ).
fof(f247,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF6)
| member(X0,x) ),
inference(superposition,[],[f25,f203]) ).
fof(f248,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF7)
| member(X0,y) ),
inference(superposition,[],[f25,f205]) ).
fof(f249,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF1)
| member(X0,sF0) ),
inference(superposition,[],[f25,f193]) ).
fof(f250,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f25,f197]) ).
fof(f251,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF5)
| member(X0,sF4) ),
inference(superposition,[],[f25,f201]) ).
fof(f252,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF9)
| member(X0,sF8) ),
inference(superposition,[],[f25,f209]) ).
fof(f256,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF10) ),
inference(superposition,[],[f226,f211]) ).
fof(f257,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF0) ),
inference(superposition,[],[f226,f191]) ).
fof(f258,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF2) ),
inference(superposition,[],[f226,f195]) ).
fof(f261,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF1) ),
inference(superposition,[],[f21,f199]) ).
fof(f262,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF6) ),
inference(superposition,[],[f21,f207]) ).
fof(f267,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF3) ),
inference(superposition,[],[f22,f199]) ).
fof(f268,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f22,f207]) ).
fof(f275,plain,
! [X0] :
( member(first(X0),sF9)
| ~ member(X0,sF10) ),
inference(superposition,[],[f232,f211]) ).
fof(f276,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF0) ),
inference(superposition,[],[f232,f191]) ).
fof(f277,plain,
! [X0] :
( member(first(X0),y)
| ~ member(X0,sF2) ),
inference(superposition,[],[f232,f195]) ).
fof(f291,plain,
! [X0] :
( ~ member(not_subclass_element(sF5,X0),sF4)
| subclass(sF5,X0) ),
inference(resolution,[],[f233,f2]) ).
fof(f295,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF10) ),
inference(superposition,[],[f239,f211]) ).
fof(f296,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF0) ),
inference(superposition,[],[f239,f191]) ).
fof(f297,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF2) ),
inference(superposition,[],[f239,f195]) ).
fof(f309,plain,
! [X0] :
( member(X0,sF0)
| ~ member(second(X0),z)
| ~ member(first(X0),x)
| ~ member(X0,sF10) ),
inference(superposition,[],[f256,f191]) ).
fof(f310,plain,
! [X0] :
( member(X0,sF2)
| ~ member(second(X0),z)
| ~ member(first(X0),y)
| ~ member(X0,sF10) ),
inference(superposition,[],[f256,f195]) ).
fof(f313,plain,
! [X0] :
( ~ member(first(X0),y)
| member(X0,sF2)
| ~ member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f310,f295]) ).
fof(f314,plain,
! [X0] :
( ~ member(first(X0),x)
| member(X0,sF0)
| ~ member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f309,f295]) ).
fof(f323,plain,
! [X0] :
( ~ member(first(X0),sF8)
| ~ member(X0,sF10) ),
inference(resolution,[],[f221,f275]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f240,f4]) ).
fof(f329,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f324]) ).
fof(f334,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f329,f2]) ).
fof(f336,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF10) ),
inference(resolution,[],[f329,f275]) ).
fof(f337,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF0) ),
inference(resolution,[],[f329,f276]) ).
fof(f338,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF2) ),
inference(resolution,[],[f329,f277]) ).
fof(f347,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF3)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF2) ),
inference(resolution,[],[f334,f250]) ).
fof(f348,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF1)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF0) ),
inference(resolution,[],[f334,f249]) ).
fof(f349,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF5)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF4) ),
inference(resolution,[],[f334,f251]) ).
fof(f353,plain,
! [X0] :
( subclass(X0,sF5)
| member(not_subclass_element(X0,sF5),sF4)
| subclass(X0,sF5) ),
inference(resolution,[],[f349,f3]) ).
fof(f357,plain,
! [X0] :
( member(not_subclass_element(X0,sF5),sF4)
| subclass(X0,sF5) ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f359,plain,
! [X0] :
( member(not_subclass_element(X0,sF5),sF3)
| subclass(X0,sF5) ),
inference(resolution,[],[f357,f267]) ).
fof(f360,plain,
! [X0] :
( member(not_subclass_element(X0,sF5),sF1)
| subclass(X0,sF5) ),
inference(resolution,[],[f357,f261]) ).
fof(f371,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),sF1)
| member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF4)
| subclass(X0,X1) ),
inference(resolution,[],[f347,f242]) ).
fof(f375,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF0)
| subclass(X0,sF5) ),
inference(resolution,[],[f360,f216]) ).
fof(f378,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF2)
| subclass(X0,sF5) ),
inference(resolution,[],[f359,f217]) ).
fof(f402,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF4)
| subclass(X0,X1)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF0) ),
inference(resolution,[],[f371,f348]) ).
fof(f407,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF4)
| member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF0) ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f408,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF2)
| subclass(sF5,X0)
| member(not_subclass_element(sF5,X0),sF0)
| subclass(sF5,X0) ),
inference(resolution,[],[f407,f291]) ).
fof(f415,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF2)
| subclass(sF5,X0)
| member(not_subclass_element(sF5,X0),sF0) ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f446,plain,
! [X0] :
( member(X0,sF10)
| ~ member(second(X0),z)
| ~ member(first(X0),sF9)
| ~ member(X0,sF0) ),
inference(superposition,[],[f257,f211]) ).
fof(f452,plain,
! [X0] :
( ~ member(first(X0),sF9)
| member(X0,sF10)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f446,f296]) ).
fof(f463,plain,
! [X0] :
( member(X0,sF10)
| ~ member(second(X0),z)
| ~ member(first(X0),sF9)
| ~ member(X0,sF2) ),
inference(superposition,[],[f258,f211]) ).
fof(f469,plain,
! [X0] :
( ~ member(first(X0),sF9)
| member(X0,sF10)
| ~ member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f463,f297]) ).
fof(f674,plain,
! [X0] :
( member(first(X0),sF6)
| ~ member(X0,sF10)
| member(first(X0),x) ),
inference(resolution,[],[f336,f247]) ).
fof(f675,plain,
! [X0] :
( member(first(X0),sF7)
| ~ member(X0,sF10)
| member(first(X0),y) ),
inference(resolution,[],[f336,f248]) ).
fof(f690,plain,
! [X0] :
( ~ member(X0,sF10)
| member(first(X0),y)
| member(first(X0),sF8)
| ~ member(first(X0),sF6) ),
inference(resolution,[],[f675,f243]) ).
fof(f693,plain,
! [X0] :
( ~ member(first(X0),sF6)
| member(first(X0),y)
| ~ member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f690,f323]) ).
fof(f768,plain,
! [X0] :
( member(first(X0),sF9)
| ~ member(X0,sF0)
| member(first(X0),sF8) ),
inference(resolution,[],[f337,f252]) ).
fof(f783,plain,
! [X0] :
( ~ member(X0,sF0)
| member(first(X0),sF8)
| member(X0,sF10)
| ~ member(X0,sF0) ),
inference(resolution,[],[f768,f452]) ).
fof(f787,plain,
! [X0] :
( member(first(X0),sF8)
| ~ member(X0,sF0)
| member(X0,sF10) ),
inference(duplicate_literal_removal,[],[f783]) ).
fof(f790,plain,
! [X0] :
( member(first(X0),sF6)
| member(X0,sF10)
| ~ member(X0,sF0) ),
inference(resolution,[],[f787,f262]) ).
fof(f793,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,sF0)
| ~ member(first(X0),x) ),
inference(resolution,[],[f790,f213]) ).
fof(f796,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f793,f276]) ).
fof(f884,plain,
! [X0] :
( member(first(X0),sF9)
| ~ member(X0,sF2)
| member(first(X0),sF8) ),
inference(resolution,[],[f338,f252]) ).
fof(f898,plain,
! [X0] :
( ~ member(X0,sF2)
| member(first(X0),sF8)
| member(X0,sF10)
| ~ member(X0,sF2) ),
inference(resolution,[],[f884,f469]) ).
fof(f903,plain,
! [X0] :
( member(first(X0),sF8)
| ~ member(X0,sF2)
| member(X0,sF10) ),
inference(duplicate_literal_removal,[],[f898]) ).
fof(f905,plain,
! [X0] :
( member(first(X0),sF7)
| member(X0,sF10)
| ~ member(X0,sF2) ),
inference(resolution,[],[f903,f268]) ).
fof(f913,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,sF2)
| ~ member(first(X0),y) ),
inference(resolution,[],[f905,f214]) ).
fof(f917,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f913,f277]) ).
fof(f923,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF10)
| subclass(sF5,X0)
| member(not_subclass_element(sF5,X0),sF0) ),
inference(resolution,[],[f917,f415]) ).
fof(f926,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF10)
| subclass(sF5,X0) ),
inference(forward_subsumption_resolution,[],[f923,f796]) ).
fof(f930,plain,
( subclass(sF5,sF10)
| subclass(sF5,sF10) ),
inference(resolution,[],[f926,f3]) ).
fof(f933,plain,
subclass(sF5,sF10),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f934,plain,
( ~ subclass(sF10,sF5)
| sF5 = sF10 ),
inference(resolution,[],[f933,f7]) ).
fof(f935,plain,
~ subclass(sF10,sF5),
inference(forward_subsumption_resolution,[],[f934,f212]) ).
fof(f942,plain,
! [X0] :
( member(first(X0),y)
| ~ member(X0,sF10)
| ~ member(X0,sF10)
| member(first(X0),x) ),
inference(resolution,[],[f693,f674]) ).
fof(f943,plain,
! [X0] :
( member(first(X0),y)
| ~ member(X0,sF10)
| member(first(X0),x) ),
inference(duplicate_literal_removal,[],[f942]) ).
fof(f1108,plain,
! [X0] :
( ~ member(X0,sF10)
| member(first(X0),x)
| member(X0,sF2)
| ~ member(X0,sF10) ),
inference(resolution,[],[f943,f313]) ).
fof(f1112,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF10)
| member(X0,sF2) ),
inference(duplicate_literal_removal,[],[f1108]) ).
fof(f1115,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF2)
| member(X0,sF0)
| ~ member(X0,sF10) ),
inference(resolution,[],[f1112,f314]) ).
fof(f1119,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF2)
| member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f1115]) ).
fof(f1120,plain,
! [X0] :
( member(not_subclass_element(sF10,X0),sF2)
| member(not_subclass_element(sF10,X0),sF0)
| subclass(sF10,X0) ),
inference(resolution,[],[f1119,f2]) ).
fof(f1128,plain,
( member(not_subclass_element(sF10,sF5),sF0)
| subclass(sF10,sF5)
| subclass(sF10,sF5) ),
inference(resolution,[],[f1120,f378]) ).
fof(f1136,plain,
( member(not_subclass_element(sF10,sF5),sF0)
| subclass(sF10,sF5) ),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1138,plain,
subclass(sF10,sF5),
inference(forward_subsumption_resolution,[],[f1136,f375]) ).
fof(f1140,plain,
$false,
inference(forward_subsumption_resolution,[],[f1138,f935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET218-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.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 01:08:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.14/2.78 % (1476526)Input is clausal, will run a generic CNF schedule.
% 13.14/2.78 % (1476533)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4076125389:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.14/2.78 % (1476536)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4166786368:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.14/2.78 % (1476537)dis-21_1_sil=8000:lcm=predicate:random_seed=3251317464: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)
% 13.14/2.78 % (1476532)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2247004572:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.14/2.78 % (1476534)lrs+10_1_sil=8000:sp=occurrence:random_seed=1295569183:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.14/2.78 % (1476535)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3953526371:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.14/2.78 % (1476531)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=1108069680:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.14/2.78 % (1476534)Refutation not found, incomplete strategy
% 13.14/2.78 % (1476534)------------------------------
% 13.14/2.78 % (1476534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/2.78 % (1476534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.78 % (1476534)CaDiCaL version: 2.1.3
% 13.14/2.78 % (1476534)Termination reason: Refutation not found, incomplete strategy
% 13.14/2.78 % (1476534)Time elapsed: 0.004 s
% 13.14/2.78 % (1476534)Peak memory usage: 88 MB
% 13.14/2.78 % (1476534)Instructions burned: 4 (million)
% 13.14/2.78 % (1476535)Instruction limit reached!
% 13.14/2.78 % (1476535)------------------------------
% 13.14/2.78 % (1476535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/2.78 % (1476535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.78 % (1476535)CaDiCaL version: 2.1.3
% 13.14/2.78 % (1476535)Termination reason: Instruction limit
% 13.14/2.78 % (1476535)Termination phase: Saturation
% 13.14/2.78 % (1476535)Time elapsed: 0.068 s
% 13.14/2.78 % (1476535)Peak memory usage: 89 MB
% 13.14/2.78 % (1476535)Instructions burned: 114 (million)
% 13.14/2.78 % (1476537)Instruction limit reached!
% 13.14/2.78 % (1476537)------------------------------
% 13.14/2.78 % (1476537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/2.78 % (1476537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.78 % (1476537)CaDiCaL version: 2.1.3
% 13.14/2.78 % (1476537)Termination reason: Instruction limit
% 13.14/2.78 % (1476537)Termination phase: Saturation
% 13.14/2.78 % (1476537)Time elapsed: 0.071 s
% 13.14/2.78 % (1476537)Peak memory usage: 89 MB
% 13.14/2.78 % (1476537)Instructions burned: 118 (million)
% 13.14/2.78 % (1476536)Instruction limit reached!
% 13.14/2.78 % (1476536)------------------------------
% 13.14/2.78 % (1476536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/2.78 % (1476536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.78 % (1476536)CaDiCaL version: 2.1.3
% 13.14/2.78 % (1476536)Termination reason: Instruction limit
% 13.14/2.78 % (1476536)Termination phase: Saturation
% 13.14/2.78 % (1476536)Time elapsed: 0.130 s
% 13.14/2.78 % (1476536)Peak memory usage: 90 MB
% 13.14/2.78 % (1476536)Instructions burned: 181 (million)
% 13.14/2.78 % (1476546)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1519494505: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)
% 13.14/2.78 % (1476545)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=1832925152:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.14/2.78 % (1476545)Refutation not found, incomplete strategy
% 13.14/2.78 % (1476545)------------------------------
% 13.14/2.78 % (1476545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/2.78 % (1476545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.78 % (1476545)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476545)Termination reason: Refutation not found, incomplete strategy
% 14.41/3.00 % (1476545)Time elapsed: 0.002 s
% 14.41/3.00 % (1476545)Peak memory usage: 88 MB
% 14.41/3.00 % (1476545)Instructions burned: 2 (million)
% 14.41/3.00 % (1476546)Refutation not found, incomplete strategy
% 14.41/3.00 % (1476546)------------------------------
% 14.41/3.00 % (1476546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476546)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476546)Termination reason: Refutation not found, incomplete strategy
% 14.41/3.00 % (1476546)Time elapsed: 0.011 s
% 14.41/3.00 % (1476546)Peak memory usage: 88 MB
% 14.41/3.00 % (1476546)Instructions burned: 21 (million)
% 14.41/3.00 % (1476534)------------------------------
% 14.41/3.00 % (1476534)------------------------------
% 14.41/3.00 % (1476547)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2574866440:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 14.41/3.00 % (1476547)Refutation not found, incomplete strategy
% 14.41/3.00 % (1476547)------------------------------
% 14.41/3.00 % (1476547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476547)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476547)Termination reason: Refutation not found, incomplete strategy
% 14.41/3.00 % (1476547)Time elapsed: 0.003 s
% 14.41/3.00 % (1476547)Peak memory usage: 88 MB
% 14.41/3.00 % (1476547)Instructions burned: 4 (million)
% 14.41/3.00 % (1476550)lrs+10_64_to=lpo:sil=8000:random_seed=1609119408:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.41/3.00 % (1476545)------------------------------
% 14.41/3.00 % (1476545)------------------------------
% 14.41/3.00 % (1476546)------------------------------
% 14.41/3.00 % (1476546)------------------------------
% 14.41/3.00 % (1476550)Instruction limit reached!
% 14.41/3.00 % (1476550)------------------------------
% 14.41/3.00 % (1476550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476550)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476550)Termination reason: Instruction limit
% 14.41/3.00 % (1476550)Termination phase: Saturation
% 14.41/3.00 % (1476550)Time elapsed: 0.080 s
% 14.41/3.00 % (1476550)Peak memory usage: 89 MB
% 14.41/3.00 % (1476550)Instructions burned: 127 (million)
% 14.41/3.00 % (1476547)------------------------------
% 14.41/3.00 % (1476547)------------------------------
% 14.41/3.00 % (1476553)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1067829837:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 14.41/3.00 % (1476554)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1110977943:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 14.41/3.00 % (1476555)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1842592902:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 14.41/3.00 % (1476556)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=2754842011:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 14.41/3.00 % (1476553)Instruction limit reached!
% 14.41/3.00 % (1476553)------------------------------
% 14.41/3.00 % (1476553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476553)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476553)Termination reason: Instruction limit
% 14.41/3.00 % (1476553)Termination phase: Saturation
% 14.41/3.00 % (1476553)Time elapsed: 0.119 s
% 14.41/3.00 % (1476553)Peak memory usage: 90 MB
% 14.41/3.00 % (1476553)Instructions burned: 195 (million)
% 14.41/3.00 % (1476554)Instruction limit reached!
% 14.41/3.00 % (1476554)------------------------------
% 14.41/3.00 % (1476554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476554)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476554)Termination reason: Instruction limit
% 14.41/3.00 % (1476554)Termination phase: Saturation
% 14.41/3.00 % (1476554)Time elapsed: 0.105 s
% 14.41/3.00 % (1476554)Peak memory usage: 91 MB
% 14.41/3.00 % (1476554)Instructions burned: 158 (million)
% 14.41/3.00 % (1476556)Instruction limit reached!
% 14.41/3.00 % (1476556)------------------------------
% 14.41/3.00 % (1476556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476556)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476556)Termination reason: Instruction limit
% 14.41/3.00 % (1476556)Termination phase: Saturation
% 14.41/3.00 % (1476556)Time elapsed: 0.051 s
% 14.41/3.00 % (1476556)Peak memory usage: 89 MB
% 14.41/3.00 % (1476556)Instructions burned: 106 (million)
% 14.41/3.00 % (1476561)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2244471982:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 14.41/3.00 % (1476562)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1385157001:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 14.41/3.00 % (1476561)Refutation not found, incomplete strategy
% 14.41/3.00 % (1476561)------------------------------
% 14.41/3.00 % (1476561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476561)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476561)Termination reason: Refutation not found, incomplete strategy
% 14.41/3.00 % (1476561)Time elapsed: 0.005 s
% 14.41/3.00 % (1476561)Peak memory usage: 88 MB
% 14.41/3.00 % (1476561)Instructions burned: 8 (million)
% 14.41/3.00 % (1476563)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1299875596:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 14.41/3.00 % (1476562)Instruction limit reached!
% 14.41/3.00 % (1476562)------------------------------
% 14.41/3.00 % (1476562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476562)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476562)Termination reason: Instruction limit
% 14.41/3.00 % (1476562)Termination phase: Saturation
% 14.41/3.00 % (1476562)Time elapsed: 0.163 s
% 14.41/3.00 % (1476562)Peak memory usage: 90 MB
% 14.41/3.00 % (1476562)Instructions burned: 242 (million)
% 14.41/3.00 % (1476561)------------------------------
% 14.41/3.00 % (1476561)------------------------------
% 14.41/3.00 % (1476567)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1859375485:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 14.41/3.00 % (1476567)Refutation not found, incomplete strategy
% 14.41/3.00 % (1476567)------------------------------
% 14.41/3.00 % (1476567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476567)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476567)Termination reason: Refutation not found, incomplete strategy
% 14.41/3.00 % (1476567)Time elapsed: 0.004 s
% 14.41/3.00 % (1476567)Peak memory usage: 88 MB
% 14.41/3.00 % (1476567)Instructions burned: 4 (million)
% 14.41/3.00 % (1476568)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3609666441:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 14.41/3.00 % (1476567)------------------------------
% 14.41/3.00 % (1476567)------------------------------
% 14.41/3.00 % (1476568)Instruction limit reached!
% 14.41/3.00 % (1476568)------------------------------
% 14.41/3.00 % (1476568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476568)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476568)Termination reason: Instruction limit
% 14.41/3.00 % (1476568)Termination phase: Saturation
% 14.41/3.00 % (1476568)Time elapsed: 0.300 s
% 14.41/3.00 % (1476568)Peak memory usage: 93 MB
% 14.41/3.00 % (1476568)Instructions burned: 499 (million)
% 14.41/3.00 % (1476571)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4176468111:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 14.41/3.00 % (1476563)First to succeed.
% 14.41/3.00 % (1476563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1476526"
% 14.41/3.00 % (1476571)Instruction limit reached!
% 14.41/3.00 % (1476571)------------------------------
% 14.41/3.00 % (1476571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476571)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476571)Termination reason: Instruction limit
% 14.41/3.00 % (1476571)Termination phase: Saturation
% 14.41/3.00 % (1476571)Time elapsed: 0.116 s
% 14.41/3.00 % (1476571)Peak memory usage: 90 MB
% 14.41/3.00 % (1476571)Instructions burned: 192 (million)
% 14.41/3.00 % (1476572)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2760261314:i=264:kws=precedence:fsr=off_2982 on theBenchmark for (2982ds/264Mi)
% 14.41/3.00 % (1476574)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2682654888:cond=on:i=156:bs=on:gtg=exists_all:er=known_2980 on theBenchmark for (2980ds/156Mi)
% 14.41/3.00 % (1476572)Instruction limit reached!
% 14.41/3.00 % (1476572)------------------------------
% 14.41/3.00 % (1476572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.41/3.00 % (1476572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/3.00 % (1476572)CaDiCaL version: 2.1.3
% 14.41/3.00 % (1476572)Termination reason: Instruction limit
% 14.41/3.00 % (1476572)Termination phase: Saturation
% 14.41/3.00 % (1476572)Time elapsed: 0.174 s
% 14.41/3.00 % (1476572)Peak memory usage: 92 MB
% 14.41/3.00 % (1476572)Instructions burned: 265 (million)
% 14.41/3.00 % (1476563)Refutation found. Thanks to Tanya!
% 14.41/3.00 % SZS status Unsatisfiable for theBenchmark
% 14.41/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 15.62/3.19 % (1476563)------------------------------
% 15.62/3.19 % (1476563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.19 % (1476563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.19 % (1476563)CaDiCaL version: 2.1.3
% 15.62/3.19 % (1476563)Termination reason: Refutation
% 15.62/3.19 % (1476563)Time elapsed: 0.788 s
% 15.62/3.19 % (1476563)Peak memory usage: 131 MB
% 15.62/3.19 % (1476563)Instructions burned: 1181 (million)
% 15.62/3.19 % (1476563)------------------------------
% 15.62/3.19 % (1476563)------------------------------
% 15.62/3.19 % (1476526)Success in time 2.131 s
% 15.62/3.19 % Vampire exiting
%------------------------------------------------------------------------------