%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET243-6 : 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 : n007.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 12:40:35 PM UTC 2026
% Result : Unsatisfiable 8.10s 1.94s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 167 ( 30 unt; 12 def)
% Number of atoms : 394 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 442 ( 215 ~; 223 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-3 aty)
% Number of variables : 196 ( 0 sgn 196 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f122,negated_conjecture,
restrict(restrict(xf,x1,y1),x2,y2) != restrict(xf,intersection(x1,x2),intersection(y1,y2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property1_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,
intersection(intersection(xf,cross_product(x1,y1)),cross_product(x2,y2)) != intersection(xf,cross_product(intersection(x1,x2),intersection(y1,y2))),
inference(definition_unfolding,[],[f122,f28,f28,f28]) ).
fof(f190,definition,
sF0 = cross_product(x1,y1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(x1,y1) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = intersection(xf,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
intersection(xf,sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = cross_product(x2,y2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
cross_product(x2,y2) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = intersection(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
intersection(sF1,sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = intersection(x1,x2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
intersection(x1,x2) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = intersection(y1,y2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
intersection(y1,y2) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = cross_product(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
cross_product(sF4,sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = intersection(xf,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
intersection(xf,sF6) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
sF3 != sF7,
inference(definition_folding,[],[f185,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f208,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f21,f197]) ).
fof(f209,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF7) ),
inference(superposition,[],[f22,f205]) ).
fof(f210,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF3) ),
inference(superposition,[],[f22,f197]) ).
fof(f211,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f22,f193]) ).
fof(f212,plain,
! [X0] :
( member(X0,xf)
| ~ member(X0,sF1) ),
inference(superposition,[],[f21,f193]) ).
fof(f213,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f214,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f215,plain,
! [X0] :
( member(X0,y2)
| ~ member(X0,sF5) ),
inference(superposition,[],[f22,f201]) ).
fof(f216,plain,
! [X0] :
( member(X0,y1)
| ~ member(X0,sF5) ),
inference(superposition,[],[f21,f201]) ).
fof(f217,plain,
! [X0] :
( member(X0,x2)
| ~ member(X0,sF4) ),
inference(superposition,[],[f22,f199]) ).
fof(f218,plain,
! [X0] :
( member(X0,x1)
| ~ member(X0,sF4) ),
inference(superposition,[],[f21,f199]) ).
fof(f230,plain,
! [X0] :
( member(X0,sF7)
| ~ member(X0,sF6)
| ~ member(X0,xf) ),
inference(superposition,[],[f23,f205]) ).
fof(f231,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF0)
| ~ member(X0,xf) ),
inference(superposition,[],[f23,f193]) ).
fof(f232,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,x2)
| ~ member(X0,x1) ),
inference(superposition,[],[f23,f199]) ).
fof(f233,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,y2)
| ~ member(X0,y1) ),
inference(superposition,[],[f23,f201]) ).
fof(f234,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f197]) ).
fof(f235,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF7),sF6)
| ~ member(not_subclass_element(X0,sF7),xf)
| subclass(X0,sF7) ),
inference(resolution,[],[f230,f3]) ).
fof(f248,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF3),sF2)
| ~ member(not_subclass_element(X0,sF3),sF1)
| subclass(X0,sF3) ),
inference(resolution,[],[f234,f3]) ).
fof(f264,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| member(X0,sF4) ),
inference(superposition,[],[f136,f203]) ).
fof(f266,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X0,x1) ),
inference(superposition,[],[f136,f191]) ).
fof(f267,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF6)
| member(X1,sF5) ),
inference(superposition,[],[f137,f203]) ).
fof(f268,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| member(X1,y2) ),
inference(superposition,[],[f137,f195]) ).
fof(f269,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,y1) ),
inference(superposition,[],[f137,f191]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF6) ),
inference(superposition,[],[f275,f203]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f275,f191]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF6) ),
inference(superposition,[],[f276,f203]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f276,f195]) ).
fof(f305,plain,
! [X0] :
( ~ member(X0,sF6)
| member(second(X0),sF5)
| ~ member(X0,sF6) ),
inference(superposition,[],[f278,f203]) ).
fof(f308,plain,
! [X0] :
( member(second(X0),sF5)
| ~ member(X0,sF6) ),
inference(duplicate_literal_removal,[],[f305]) ).
fof(f313,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),y1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f280,f191]) ).
fof(f314,plain,
! [X0] :
( member(second(X0),y1)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f323,plain,
! [X0] :
( ~ member(X0,sF6)
| member(first(X0),sF4)
| ~ member(X0,sF6) ),
inference(superposition,[],[f282,f203]) ).
fof(f326,plain,
! [X0] :
( member(first(X0),sF4)
| ~ member(X0,sF6) ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f339,plain,
! [X0] :
( ~ member(X0,sF2)
| member(first(X0),x2)
| ~ member(X0,sF2) ),
inference(superposition,[],[f283,f195]) ).
fof(f341,plain,
! [X0] :
( member(first(X0),x2)
| ~ member(X0,sF2) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,cross_product(X1,X2))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f139]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF5)
| ~ member(first(X0),sF4)
| member(X0,sF6) ),
inference(superposition,[],[f352,f203]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),y2)
| ~ member(first(X0),x2)
| member(X0,sF2) ),
inference(superposition,[],[f352,f195]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),y1)
| ~ member(first(X0),x1)
| member(X0,sF0) ),
inference(superposition,[],[f352,f191]) ).
fof(f370,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| member(X0,x1) ),
inference(resolution,[],[f266,f211]) ).
fof(f374,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X0,x1) ),
inference(resolution,[],[f370,f208]) ).
fof(f377,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF1)
| member(X0,y1) ),
inference(resolution,[],[f269,f211]) ).
fof(f381,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF3)
| member(X0,y1) ),
inference(resolution,[],[f377,f208]) ).
fof(f384,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| member(X0,sF4) ),
inference(resolution,[],[f264,f209]) ).
fof(f387,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF7)
| member(X0,sF5) ),
inference(resolution,[],[f267,f209]) ).
fof(f393,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF3)
| member(X0,y2) ),
inference(resolution,[],[f268,f210]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),sF4)
| ~ member(X0,sF7) ),
inference(superposition,[],[f384,f139]) ).
fof(f441,plain,
! [X0] :
( member(first(X0),sF4)
| ~ member(X0,sF0)
| ~ member(X0,sF7) ),
inference(superposition,[],[f433,f191]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),y2)
| ~ member(X0,sF3) ),
inference(superposition,[],[f393,f139]) ).
fof(f452,plain,
! [X0] :
( member(second(X0),y2)
| ~ member(X0,sF0)
| ~ member(X0,sF3) ),
inference(superposition,[],[f444,f191]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),sF5)
| ~ member(X0,sF7) ),
inference(superposition,[],[f387,f139]) ).
fof(f469,plain,
! [X0] :
( member(second(X0),sF5)
| ~ member(X0,sF0)
| ~ member(X0,sF7) ),
inference(superposition,[],[f461,f191]) ).
fof(f518,plain,
! [X0] :
( member(not_subclass_element(sF7,X0),xf)
| subclass(sF7,X0) ),
inference(superposition,[],[f214,f205]) ).
fof(f523,plain,
! [X0] :
( member(not_subclass_element(sF3,X0),sF1)
| subclass(sF3,X0) ),
inference(superposition,[],[f214,f197]) ).
fof(f560,plain,
! [X0] :
( member(not_subclass_element(sF7,X0),sF6)
| subclass(sF7,X0) ),
inference(superposition,[],[f213,f205]) ).
fof(f640,plain,
! [X0] :
( ~ member(second(X0),y1)
| ~ member(X0,sF6)
| ~ member(first(X0),x1)
| member(X0,sF0) ),
inference(superposition,[],[f369,f203]) ).
fof(f641,plain,
! [X0] :
( ~ member(second(X0),y1)
| ~ member(X0,sF2)
| ~ member(first(X0),x1)
| member(X0,sF0) ),
inference(superposition,[],[f369,f195]) ).
fof(f652,plain,
! [X0] :
( ~ member(second(X0),y2)
| ~ member(X0,sF0)
| ~ member(first(X0),x2)
| member(X0,sF2) ),
inference(superposition,[],[f368,f191]) ).
fof(f667,plain,
! [X0] :
( ~ member(second(X0),sF5)
| ~ member(X0,sF0)
| ~ member(first(X0),sF4)
| member(X0,sF6) ),
inference(superposition,[],[f367,f191]) ).
fof(f1775,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(first(X0),x1)
| member(X0,sF0)
| ~ member(second(X0),sF5) ),
inference(resolution,[],[f640,f216]) ).
fof(f1780,plain,
! [X0] :
( ~ member(first(X0),x1)
| ~ member(X0,sF6)
| member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f1775,f308]) ).
fof(f1784,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF0)
| ~ member(first(X0),sF4) ),
inference(resolution,[],[f1780,f218]) ).
fof(f1789,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF6) ),
inference(forward_subsumption_resolution,[],[f1784,f326]) ).
fof(f1879,plain,
! [X0] :
( ~ member(second(X0),sF5)
| ~ member(first(X0),x2)
| member(X0,sF2)
| ~ member(X0,sF0) ),
inference(resolution,[],[f652,f215]) ).
fof(f1885,plain,
! [X0] :
( ~ member(first(X0),x2)
| member(X0,sF2)
| ~ member(X0,sF0)
| ~ member(X0,sF0)
| ~ member(X0,sF7) ),
inference(resolution,[],[f1879,f469]) ).
fof(f1891,plain,
! [X0] :
( ~ member(first(X0),x2)
| member(X0,sF2)
| ~ member(X0,sF0)
| ~ member(X0,sF7) ),
inference(duplicate_literal_removal,[],[f1885]) ).
fof(f1895,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF0)
| ~ member(X0,sF7)
| ~ member(first(X0),sF4) ),
inference(resolution,[],[f1891,f217]) ).
fof(f1900,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF0)
| ~ member(X0,sF7) ),
inference(forward_subsumption_resolution,[],[f1895,f441]) ).
fof(f1950,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF3),sF1)
| subclass(X0,sF3)
| ~ member(not_subclass_element(X0,sF3),sF0)
| ~ member(not_subclass_element(X0,sF3),sF7) ),
inference(resolution,[],[f248,f1900]) ).
fof(f1957,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF3),sF7)
| subclass(X0,sF3)
| ~ member(not_subclass_element(X0,sF3),sF1) ),
inference(forward_subsumption_resolution,[],[f1950,f211]) ).
fof(f1958,plain,
( subclass(sF7,sF3)
| ~ member(not_subclass_element(sF7,sF3),sF1)
| subclass(sF7,sF3) ),
inference(resolution,[],[f1957,f2]) ).
fof(f1967,plain,
( subclass(sF7,sF3)
| ~ member(not_subclass_element(sF7,sF3),sF1) ),
inference(duplicate_literal_removal,[],[f1958]) ).
fof(f1970,definition,
( spl8_19
<=> member(not_subclass_element(sF7,sF3),sF1) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
fof(f1972,plain,
( ~ member(not_subclass_element(sF7,sF3),sF1)
| spl8_19 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1974,definition,
( spl8_20
<=> subclass(sF7,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_20])],[avatar_definition]) ).
fof(f1975,plain,
( ~ subclass(sF7,sF3)
| spl8_20 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f1976,plain,
( subclass(sF7,sF3)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f1977,plain,
( ~ spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f1967,f1974,f1970]) ).
fof(f2012,plain,
( ~ member(not_subclass_element(sF7,sF3),sF0)
| ~ member(not_subclass_element(sF7,sF3),xf)
| spl8_19 ),
inference(resolution,[],[f1972,f231]) ).
fof(f2017,definition,
( spl8_23
<=> member(not_subclass_element(sF7,sF3),xf) ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
fof(f2019,plain,
( ~ member(not_subclass_element(sF7,sF3),xf)
| spl8_23 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f2021,definition,
( spl8_24
<=> member(not_subclass_element(sF7,sF3),sF0) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f2023,plain,
( ~ member(not_subclass_element(sF7,sF3),sF0)
| spl8_24 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f2024,plain,
( ~ spl8_23
| ~ spl8_24
| spl8_19 ),
inference(avatar_split_clause,[],[f2012,f1970,f2021,f2017]) ).
fof(f2029,plain,
( subclass(sF7,sF3)
| spl8_23 ),
inference(resolution,[],[f2019,f518]) ).
fof(f2035,plain,
( spl8_20
| spl8_23 ),
inference(avatar_split_clause,[],[f2029,f2017,f1974]) ).
fof(f2036,plain,
( ~ subclass(sF3,sF7)
| sF3 = sF7
| ~ spl8_20 ),
inference(resolution,[],[f1976,f7]) ).
fof(f2037,plain,
( ~ subclass(sF3,sF7)
| ~ spl8_20 ),
inference(forward_subsumption_resolution,[],[f2036,f206]) ).
fof(f2172,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),x1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f374,f139]) ).
fof(f2185,plain,
! [X0] :
( ~ member(X0,sF2)
| member(first(X0),x1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f2172,f195]) ).
fof(f2187,plain,
! [X0] :
( member(first(X0),x1)
| ~ member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f2185,f210]) ).
fof(f2201,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),y1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f381,f139]) ).
fof(f2214,plain,
! [X0] :
( ~ member(X0,sF2)
| member(second(X0),y1)
| ~ member(X0,sF3) ),
inference(superposition,[],[f2201,f195]) ).
fof(f2216,plain,
! [X0] :
( member(second(X0),y1)
| ~ member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f2214,f210]) ).
fof(f2219,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2)
| ~ member(first(X0),x1)
| member(X0,sF0) ),
inference(resolution,[],[f2216,f641]) ).
fof(f2222,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(first(X0),x1)
| member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f2219,f210]) ).
fof(f2223,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f2222,f2187]) ).
fof(f2242,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(first(X0),sF4)
| member(X0,sF6)
| ~ member(second(X0),y2)
| ~ member(second(X0),y1) ),
inference(resolution,[],[f667,f233]) ).
fof(f2247,plain,
! [X0] :
( ~ member(second(X0),y2)
| ~ member(first(X0),sF4)
| member(X0,sF6)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f2242,f314]) ).
fof(f2249,plain,
! [X0] :
( ~ member(first(X0),sF4)
| member(X0,sF6)
| ~ member(X0,sF0)
| ~ member(X0,sF0)
| ~ member(X0,sF3) ),
inference(resolution,[],[f2247,f452]) ).
fof(f2258,plain,
! [X0] :
( ~ member(first(X0),sF4)
| member(X0,sF6)
| ~ member(X0,sF0)
| ~ member(X0,sF3) ),
inference(duplicate_literal_removal,[],[f2249]) ).
fof(f2259,plain,
! [X0] :
( ~ member(first(X0),sF4)
| member(X0,sF6)
| ~ member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f2258,f2223]) ).
fof(f2263,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF3)
| ~ member(first(X0),x2)
| ~ member(first(X0),x1) ),
inference(resolution,[],[f2259,f232]) ).
fof(f2267,plain,
! [X0] :
( ~ member(first(X0),x2)
| ~ member(X0,sF3)
| member(X0,sF6) ),
inference(forward_subsumption_resolution,[],[f2263,f2187]) ).
fof(f2274,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF6)
| ~ member(X0,sF2) ),
inference(resolution,[],[f2267,f341]) ).
fof(f2281,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF3) ),
inference(forward_subsumption_resolution,[],[f2274,f210]) ).
fof(f2284,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF7),sF3)
| ~ member(not_subclass_element(X0,sF7),xf)
| subclass(X0,sF7) ),
inference(resolution,[],[f2281,f235]) ).
fof(f2295,plain,
( ~ member(not_subclass_element(sF3,sF7),xf)
| subclass(sF3,sF7)
| subclass(sF3,sF7) ),
inference(resolution,[],[f2284,f2]) ).
fof(f2304,plain,
( ~ member(not_subclass_element(sF3,sF7),xf)
| subclass(sF3,sF7) ),
inference(duplicate_literal_removal,[],[f2295]) ).
fof(f2306,plain,
( ~ member(not_subclass_element(sF3,sF7),xf)
| ~ spl8_20 ),
inference(forward_subsumption_resolution,[],[f2304,f2037]) ).
fof(f2308,plain,
( ~ member(not_subclass_element(sF3,sF7),sF1)
| ~ spl8_20 ),
inference(resolution,[],[f2306,f212]) ).
fof(f2316,plain,
( subclass(sF3,sF7)
| ~ spl8_20 ),
inference(resolution,[],[f2308,f523]) ).
fof(f2322,plain,
( $false
| ~ spl8_20 ),
inference(forward_subsumption_resolution,[],[f2316,f2037]) ).
fof(f2323,plain,
~ spl8_20,
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2412,plain,
( ~ member(not_subclass_element(sF7,sF3),sF6)
| spl8_24 ),
inference(resolution,[],[f2023,f1789]) ).
fof(f2426,plain,
( subclass(sF7,sF3)
| spl8_24 ),
inference(resolution,[],[f2412,f560]) ).
fof(f2432,plain,
( $false
| spl8_20
| spl8_24 ),
inference(forward_subsumption_resolution,[],[f2426,f1975]) ).
fof(f2433,plain,
( spl8_20
| spl8_24 ),
inference(avatar_contradiction_clause,[],[f2432]) ).
cnf(s17,plain,
( ~ spl8_19
| spl8_20 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s19,plain,
( spl8_19
| ~ spl8_23
| ~ spl8_24 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s20,plain,
( spl8_20
| spl8_23 ),
inference(sat_conversion,[],[f2035]) ).
cnf(s21,plain,
~ spl8_20,
inference(sat_conversion,[],[f2323]) ).
cnf(s27,plain,
( spl8_20
| spl8_24 ),
inference(sat_conversion,[],[f2433]) ).
cnf(s28,plain,
spl8_24,
inference(rat,[],[s27,s21]) ).
cnf(s29,plain,
spl8_23,
inference(rat,[],[s20,s21]) ).
cnf(s30,plain,
spl8_19,
inference(rat,[],[s19,s28,s29]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s17,s21,s30]) ).
fof(f2434,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET243-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 01:10:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.10/1.94 % (1936386)Input is clausal, will run a generic CNF schedule.
% 8.10/1.94 % (1936394)lrs+10_1_sil=8000:sp=occurrence:random_seed=3276139078:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.10/1.94 % (1936392)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=997747743:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.10/1.94 % (1936396)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1315163657:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.10/1.94 % (1936397)dis-21_1_sil=8000:lcm=predicate:random_seed=2346372634: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)
% 8.10/1.94 % (1936395)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2977589631:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.10/1.94 % (1936393)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3337438566:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.10/1.94 % (1936391)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=876801675:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.10/1.94 % (1936394)Refutation not found, incomplete strategy
% 8.10/1.94 % (1936394)------------------------------
% 8.10/1.94 % (1936394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936394)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936394)Termination reason: Refutation not found, incomplete strategy
% 8.10/1.94 % (1936394)Time elapsed: 0.002 s
% 8.10/1.94 % (1936394)Peak memory usage: 88 MB
% 8.10/1.94 % (1936394)Instructions burned: 1 (million)
% 8.10/1.94 % (1936397)Instruction limit reached!
% 8.10/1.94 % (1936397)------------------------------
% 8.10/1.94 % (1936397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936397)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936397)Termination reason: Instruction limit
% 8.10/1.94 % (1936397)Termination phase: Saturation
% 8.10/1.94 % (1936397)Time elapsed: 0.065 s
% 8.10/1.94 % (1936397)Peak memory usage: 89 MB
% 8.10/1.94 % (1936397)Instructions burned: 117 (million)
% 8.10/1.94 % (1936395)Instruction limit reached!
% 8.10/1.94 % (1936395)------------------------------
% 8.10/1.94 % (1936395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936395)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936395)Termination reason: Instruction limit
% 8.10/1.94 % (1936395)Termination phase: Saturation
% 8.10/1.94 % (1936395)Time elapsed: 0.066 s
% 8.10/1.94 % (1936395)Peak memory usage: 88 MB
% 8.10/1.94 % (1936395)Instructions burned: 115 (million)
% 8.10/1.94 % (1936396)Instruction limit reached!
% 8.10/1.94 % (1936396)------------------------------
% 8.10/1.94 % (1936396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936396)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936396)Termination reason: Instruction limit
% 8.10/1.94 % (1936396)Termination phase: Saturation
% 8.10/1.94 % (1936396)Time elapsed: 0.121 s
% 8.10/1.94 % (1936396)Peak memory usage: 90 MB
% 8.10/1.94 % (1936396)Instructions burned: 181 (million)
% 8.10/1.94 % (1936406)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3405807642: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)
% 8.10/1.94 % (1936405)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=198949376:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.10/1.94 % (1936405)Refutation not found, incomplete strategy
% 8.10/1.94 % (1936405)------------------------------
% 8.10/1.94 % (1936405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936405)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936405)Termination reason: Refutation not found, incomplete strategy
% 8.10/1.94 % (1936405)Time elapsed: 0.003 s
% 8.10/1.94 % (1936405)Peak memory usage: 87 MB
% 8.10/1.94 % (1936405)Instructions burned: 3 (million)
% 8.10/1.94 % (1936407)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=604306190:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.10/1.94 % (1936406)Refutation not found, incomplete strategy
% 8.10/1.94 % (1936406)------------------------------
% 8.10/1.94 % (1936406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936406)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936406)Termination reason: Refutation not found, incomplete strategy
% 8.10/1.94 % (1936406)Time elapsed: 0.009 s
% 8.10/1.94 % (1936406)Peak memory usage: 88 MB
% 8.10/1.94 % (1936406)Instructions burned: 14 (million)
% 8.10/1.94 % (1936407)Refutation not found, incomplete strategy
% 8.10/1.94 % (1936407)------------------------------
% 8.10/1.94 % (1936407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936407)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936407)Termination reason: Refutation not found, incomplete strategy
% 8.10/1.94 % (1936407)Time elapsed: 0.001 s
% 8.10/1.94 % (1936407)Peak memory usage: 88 MB
% 8.10/1.94 % (1936407)Instructions burned: 3 (million)
% 8.10/1.94 % (1936394)------------------------------
% 8.10/1.94 % (1936394)------------------------------
% 8.10/1.94 % (1936407)------------------------------
% 8.10/1.94 % (1936407)------------------------------
% 8.10/1.94 % (1936411)lrs+10_64_to=lpo:sil=8000:random_seed=1727304134:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.10/1.94 % (1936405)------------------------------
% 8.10/1.94 % (1936405)------------------------------
% 8.10/1.94 % (1936406)------------------------------
% 8.10/1.94 % (1936406)------------------------------
% 8.10/1.94 % (1936411)Instruction limit reached!
% 8.10/1.94 % (1936411)------------------------------
% 8.10/1.94 % (1936411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936411)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936411)Termination reason: Instruction limit
% 8.10/1.94 % (1936411)Termination phase: Saturation
% 8.10/1.94 % (1936411)Time elapsed: 0.082 s
% 8.10/1.94 % (1936411)Peak memory usage: 89 MB
% 8.10/1.94 % (1936411)Instructions burned: 126 (million)
% 8.10/1.94 % (1936412)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3384219683:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.10/1.94 % (1936412)Instruction limit reached!
% 8.10/1.94 % (1936412)------------------------------
% 8.10/1.94 % (1936412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936412)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936412)Termination reason: Instruction limit
% 8.10/1.94 % (1936412)Termination phase: Saturation
% 8.10/1.94 % (1936412)Time elapsed: 0.065 s
% 8.10/1.94 % (1936412)Peak memory usage: 89 MB
% 8.10/1.94 % (1936412)Instructions burned: 196 (million)
% 8.10/1.94 % (1936415)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2843712338:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.10/1.94 % (1936414)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1671967601:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.10/1.94 % (1936417)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=1640951885:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.10/1.94 % (1936417)Instruction limit reached!
% 8.10/1.94 % (1936417)------------------------------
% 8.10/1.94 % (1936417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936417)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936417)Termination reason: Instruction limit
% 8.10/1.94 % (1936417)Termination phase: Saturation
% 8.10/1.94 % (1936417)Time elapsed: 0.051 s
% 8.10/1.94 % (1936417)Peak memory usage: 89 MB
% 8.10/1.94 % (1936417)Instructions burned: 106 (million)
% 8.10/1.94 % (1936418)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3981327723:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.10/1.94 % (1936418)Refutation not found, incomplete strategy
% 8.10/1.94 % (1936418)------------------------------
% 8.10/1.94 % (1936418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936418)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936418)Termination reason: Refutation not found, incomplete strategy
% 8.10/1.94 % (1936418)Time elapsed: 0.005 s
% 8.10/1.94 % (1936418)Peak memory usage: 88 MB
% 8.10/1.94 % (1936418)Instructions burned: 8 (million)
% 8.10/1.94 % (1936414)Instruction limit reached!
% 8.10/1.94 % (1936414)------------------------------
% 8.10/1.94 % (1936414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936414)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936414)Termination reason: Instruction limit
% 8.10/1.94 % (1936414)Termination phase: Saturation
% 8.10/1.94 % (1936414)Time elapsed: 0.106 s
% 8.10/1.94 % (1936414)Peak memory usage: 90 MB
% 8.10/1.94 % (1936414)Instructions burned: 157 (million)
% 8.10/1.94 % (1936393)First to succeed.
% 8.10/1.94 % (1936422)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3643686856:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.10/1.94 % (1936393)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1936386"
% 8.10/1.94 % (1936424)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=157369250:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.10/1.94 % (1936418)------------------------------
% 8.10/1.94 % (1936418)------------------------------
% 8.10/1.94 % (1936422)Instruction limit reached!
% 8.10/1.94 % (1936422)------------------------------
% 8.10/1.94 % (1936422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/1.94 % (1936422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.94 % (1936422)CaDiCaL version: 2.1.3
% 8.10/1.94 % (1936422)Termination reason: Instruction limit
% 8.10/1.94 % (1936422)Termination phase: Saturation
% 8.10/1.94 % (1936422)Time elapsed: 0.165 s
% 8.10/1.94 % (1936422)Peak memory usage: 90 MB
% 8.10/1.94 % (1936422)Instructions burned: 243 (million)
% 8.10/1.94 % (1936393)Refutation found. Thanks to Tanya!
% 8.10/1.94 % SZS status Unsatisfiable for theBenchmark
% 8.10/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.14 % (1936393)------------------------------
% 0.18/2.14 % (1936393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (1936393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (1936393)CaDiCaL version: 2.1.3
% 0.18/2.14 % (1936393)Termination reason: Refutation
% 0.18/2.14 % (1936393)Time elapsed: 0.885 s
% 0.18/2.14 % (1936393)Peak memory usage: 131 MB
% 0.18/2.14 % (1936393)Instructions burned: 1313 (million)
% 0.18/2.14 % (1936393)------------------------------
% 0.18/2.14 % (1936393)------------------------------
% 0.18/2.14 % (1936386)Success in time 1.314 s
% 0.18/2.14 % Vampire exiting
%------------------------------------------------------------------------------