%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:07:30 AM UTC 2026
% Result : Unsatisfiable 59.50s 17.75s
% Output : Refutation 121.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 31
% Syntax : Number of formulae : 132 ( 41 unt; 2 def)
% Number of atoms : 333 ( 85 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 408 ( 207 ~; 200 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 259 ( 0 sgn 259 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( little_set(X0)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,non_ordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( member(X0,non_ordered_pair(X1,X2))
| ~ little_set(X0)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair2) ).
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair4) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f38,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ little_set(X0)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f72,axiom,
little_set(infinity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity1) ).
fof(f73,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity2) ).
fof(f79,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset1) ).
fof(f88,axiom,
! [X0,X1] :
( ~ relation(X0)
| ~ member(X1,X0)
| ordered_pair_predicate(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',relation1) ).
fof(f120,axiom,
! [X0,X1] :
( member(f27(X0,X1),X1)
| ~ member(X0,range_of(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of2) ).
fof(f121,axiom,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| X0 = second(f27(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of3) ).
fof(f122,plain,
! [X0,X1] :
( second(f27(X0,X1)) = X0
| ~ member(X0,range_of(X1)) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ little_set(X0)
| ~ ordered_pair_predicate(X2)
| ~ member(X2,X1)
| X0 != second(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of4) ).
fof(f124,plain,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ little_set(X0)
| ~ ordered_pair_predicate(X2)
| ~ member(X2,X1)
| second(X2) != X0 ),
inference(reorient_equations,[],[f123]) ).
fof(f142,axiom,
! [X0,X1] :
( little_set(X0)
| ~ closed(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed1) ).
fof(f143,axiom,
! [X0,X1] :
( little_set(X1)
| ~ closed(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed2) ).
fof(f153,axiom,
! [X2,X3,X0,X1,X4,X5] :
( member(X0,compose(X1,X2))
| ~ little_set(X0)
| ~ little_set(X3)
| ~ little_set(X4)
| ~ little_set(X5)
| X0 != ordered_pair(X3,X4)
| ~ member(ordered_pair(X3,X5),X1)
| ~ member(ordered_pair(X5,X4),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose7) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4,X5] :
( member(X0,compose(X1,X2))
| ~ little_set(X0)
| ~ little_set(X3)
| ~ little_set(X4)
| ~ little_set(X5)
| ordered_pair(X3,X4) != X0
| ~ member(ordered_pair(X3,X5),X1)
| ~ member(ordered_pair(X5,X4),X2) ),
inference(reorient_equations,[],[f153]) ).
fof(f155,axiom,
! [X2,X3,X0,X1,X4] :
( closed(X1,X2)
| ~ homomorphism(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism1) ).
fof(f156,axiom,
! [X2,X3,X0,X1,X4] :
( closed(X3,X4)
| ~ homomorphism(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homomorphism2) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| ordered_pair(X0,X1) != ordered_pair(X2,X3)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_components_are_equal) ).
fof(f168,axiom,
! [X0,X1] :
( ~ little_set(X0)
| ~ little_set(X1)
| second(ordered_pair(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_second) ).
fof(f170,axiom,
! [X0] :
( ~ ordered_pair_predicate(X0)
| little_set(second(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_component_is_small) ).
fof(f171,axiom,
! [X0] :
( ~ little_set(X0)
| member(X0,singleton_set(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singleton_sets) ).
fof(f172,axiom,
! [X0,X1] : little_set(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pairs_are_small1) ).
fof(f178,axiom,
! [X0,X1] : relation(compose(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_a_relation) ).
fof(f179,axiom,
! [X0,X1] : subset(range_of(compose(X0,X1)),range_of(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of_composition) ).
fof(f190,axiom,
homomorphism(f60,f62,f63,f64,f65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_homomorphism) ).
fof(f191,axiom,
homomorphism(f61,f64,f65,f66,f67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_homomorphism) ).
fof(f192,negated_conjecture,
~ homomorphism(compose(f60,f61),f62,f63,f66,f67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_composition_is_a_homomorphism) ).
fof(f194,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4,X5] :
( member(X0,compose(X1,X2))
| ~ little_set(X0)
| ~ little_set(X3)
| ~ little_set(X4)
| ~ little_set(X5)
| non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)) != X0
| ~ member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X5)),X1)
| ~ member(non_ordered_pair(non_ordered_pair(X5,X5),non_ordered_pair(X5,X4)),X2) ),
inference(definition_unfolding,[],[f154,f194,f194,f194]) ).
fof(f199,plain,
! [X0,X1] :
( second(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1))) = X1
| ~ little_set(X1)
| ~ little_set(X0) ),
inference(definition_unfolding,[],[f168,f194]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)) != non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3))
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| ~ little_set(X0)
| X1 = X3 ),
inference(definition_unfolding,[],[f165,f194,f194]) ).
fof(f210,plain,
! [X0,X1] : little_set(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1))),
inference(definition_unfolding,[],[f172,f194]) ).
fof(f212,plain,
! [X0] :
( member(X0,non_ordered_pair(X0,X0))
| ~ little_set(X0) ),
inference(definition_unfolding,[],[f171,f9]) ).
fof(f217,plain,
! [X2,X3,X1,X4,X5] :
( member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)),compose(X1,X2))
| ~ little_set(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)))
| ~ little_set(X3)
| ~ little_set(X4)
| ~ little_set(X5)
| ~ member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X5)),X1)
| ~ member(non_ordered_pair(non_ordered_pair(X5,X5),non_ordered_pair(X5,X4)),X2) ),
inference(equality_resolution,[],[f197]) ).
fof(f225,plain,
! [X2,X1] :
( member(second(X2),range_of(X1))
| ~ little_set(second(X2))
| ~ ordered_pair_predicate(X2)
| ~ member(X2,X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f228,plain,
! [X2,X1] :
( member(X1,non_ordered_pair(X1,X2))
| ~ little_set(X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f229,definition,
sF0 = compose(f60,f61),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f230,plain,
compose(f60,f61) = sF0,
inference(reorient_equations,[],[f229]) ).
fof(f231,plain,
~ homomorphism(sF0,f62,f63,f66,f67),
inference(definition_folding,[],[f192,f230]) ).
fof(f232,plain,
~ homomorphism(compose(f60,f61),f62,f63,f66,f67),
inference(forward_demodulation,[],[f231,f230]) ).
fof(f239,plain,
! [X2,X3,X1,X4,X5] :
( member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)),compose(X1,X2))
| ~ little_set(X3)
| ~ little_set(X4)
| ~ little_set(X5)
| ~ member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X5)),X1)
| ~ member(non_ordered_pair(non_ordered_pair(X5,X5),non_ordered_pair(X5,X4)),X2) ),
inference(forward_subsumption_resolution,[],[f217,f210]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ordered_pair_predicate(X0)
| ~ member(X0,compose(X1,X2)) ),
inference(resolution,[],[f88,f178]) ).
fof(f254,plain,
! [X2,X1] :
( member(second(X2),range_of(X1))
| ~ ordered_pair_predicate(X2)
| ~ member(X2,X1) ),
inference(forward_subsumption_resolution,[],[f225,f170]) ).
fof(f403,plain,
! [X2,X0,X1] :
( f27(X0,non_ordered_pair(X1,X2)) = X2
| f27(X0,non_ordered_pair(X1,X2)) = X1
| ~ member(X0,range_of(non_ordered_pair(X1,X2))) ),
inference(resolution,[],[f5,f120]) ).
fof(f412,plain,
! [X2,X0,X1] :
( X1 != X2
| f27(X0,non_ordered_pair(X1,X2)) = X1
| ~ member(X0,range_of(non_ordered_pair(X1,X2))) ),
inference(equality_factoring,[],[f403]) ).
fof(f415,plain,
! [X0,X1] :
( f27(X0,non_ordered_pair(X1,X1)) = X1
| ~ member(X0,range_of(non_ordered_pair(X1,X1))) ),
inference(equality_resolution,[],[f412]) ).
fof(f417,plain,
! [X0,X1] :
( second(X0) = X1
| ~ member(X1,range_of(non_ordered_pair(X0,X0)))
| ~ member(X1,range_of(non_ordered_pair(X0,X0))) ),
inference(superposition,[],[f122,f415]) ).
fof(f418,plain,
! [X0,X1] :
( ~ member(X1,range_of(non_ordered_pair(X0,X0)))
| second(X0) = X1 ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ subset(X2,range_of(non_ordered_pair(X0,X0)))
| ~ member(X1,X2)
| second(X0) = X1 ),
inference(resolution,[],[f418,f79]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(compose(non_ordered_pair(X1,X1),X2)))
| second(X1) = X0 ),
inference(resolution,[],[f423,f179]) ).
fof(f451,plain,
! [X2,X0,X1] :
( second(X1) = second(X0)
| ~ ordered_pair_predicate(X1)
| ~ member(X1,compose(non_ordered_pair(X0,X0),X2)) ),
inference(resolution,[],[f428,f254]) ).
fof(f460,plain,
! [X2,X0,X1] :
( ~ member(X1,compose(non_ordered_pair(X0,X0),X2))
| second(X1) = second(X0) ),
inference(forward_subsumption_resolution,[],[f451,f240]) ).
fof(f547,plain,
! [X2,X3,X0,X1,X4] :
( second(X2) = second(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)))
| ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(X3)
| ~ member(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X3)),non_ordered_pair(X2,X2))
| ~ member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X1)),X4) ),
inference(resolution,[],[f460,f239]) ).
fof(f554,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X3)),non_ordered_pair(X2,X2))
| ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(X3)
| second(X2) = X1
| ~ member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X1)),X4) ),
inference(forward_subsumption_demodulation,[],[f547,f199]) ).
fof(f570,definition,
( spl1_1
<=> closed(f64,f65) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f571,plain,
( closed(f64,f65)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( ~ closed(f64,f65)
| spl1_1 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f578,plain,
( $false
| spl1_1 ),
inference(unit_resulting_resolution,[],[f155,f191,f572]) ).
fof(f583,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f1159,plain,
! [X2,X3,X0,X1] :
( ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| second(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X2))) = X1
| ~ member(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X1)),X3)
| ~ little_set(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X2))) ),
inference(resolution,[],[f554,f228]) ).
fof(f1163,plain,
! [X2,X3,X0,X1] :
( ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| second(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X2))) = X1
| ~ member(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X1)),X3) ),
inference(forward_subsumption_resolution,[],[f1159,f210]) ).
fof(f1169,plain,
! [X2,X3,X0,X1] :
( ~ little_set(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| X1 = X2
| ~ member(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X1)),X3) ),
inference(forward_subsumption_demodulation,[],[f1163,f199]) ).
fof(f1170,plain,
! [X2,X3,X1] :
( ~ little_set(X1)
| ~ little_set(X2)
| X1 = X2
| ~ member(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X1)),X3) ),
inference(condensation,[],[f1169]) ).
fof(f1175,plain,
! [X2,X3,X0,X1] :
( ~ closed(X1,X3)
| X0 = X1
| ~ member(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),X2)
| ~ little_set(X0) ),
inference(resolution,[],[f1170,f142]) ).
fof(f1197,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ homomorphism(X3,X1,X4,X5,X6)
| ~ member(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),X2)
| ~ little_set(X0)
| X0 = X1 ),
inference(resolution,[],[f1175,f155]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ little_set(X0)
| ~ member(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,f62)),X1)
| f62 = X0 ),
inference(resolution,[],[f1197,f190]) ).
fof(f1229,plain,
! [X2,X0,X1] :
( ~ member(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,f62)),X1)
| f62 = X0
| ~ member(X0,X2) ),
inference(resolution,[],[f1224,f1]) ).
fof(f1274,plain,
! [X0,X1] :
( f62 = X0
| ~ member(X0,X1)
| ~ little_set(non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,f62))) ),
inference(resolution,[],[f1229,f228]) ).
fof(f1300,plain,
! [X0,X1] :
( ~ member(X0,X1)
| f62 = X0 ),
inference(forward_subsumption_resolution,[],[f1274,f210]) ).
fof(f1316,plain,
! [X0,X1] :
( f62 = X0
| ~ little_set(X0)
| member(X0,X1) ),
inference(resolution,[],[f1300,f38]) ).
fof(f1325,plain,
empty_set = f62,
inference(resolution,[],[f1300,f73]) ).
fof(f1335,plain,
! [X0] :
( ~ little_set(X0)
| f62 = X0 ),
inference(forward_subsumption_resolution,[],[f1316,f1300]) ).
fof(f1342,plain,
! [X0,X1] : non_ordered_pair(X0,X1) = f62,
inference(resolution,[],[f1335,f8]) ).
fof(f1354,plain,
infinity = f62,
inference(resolution,[],[f1335,f72]) ).
fof(f1394,plain,
empty_set = infinity,
inference(forward_demodulation,[],[f1354,f1325]) ).
fof(f1395,plain,
! [X0,X1] : non_ordered_pair(X0,X1) = empty_set,
inference(forward_demodulation,[],[f1342,f1325]) ).
fof(f1398,plain,
! [X2,X3,X0,X1] :
( non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)) != non_ordered_pair(empty_set,non_ordered_pair(X0,X1))
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| ~ little_set(X0)
| X1 = X3 ),
inference(superposition,[],[f201,f1395]) ).
fof(f1402,plain,
! [X0] :
( member(X0,empty_set)
| ~ little_set(X0) ),
inference(superposition,[],[f212,f1395]) ).
fof(f1441,plain,
! [X2,X0,X1] :
( ~ member(X0,empty_set)
| X0 = X1
| X0 = X2 ),
inference(superposition,[],[f5,f1395]) ).
fof(f1490,plain,
! [X2,X0] :
( ~ member(X0,empty_set)
| X0 = X2 ),
inference(condensation,[],[f1441]) ).
fof(f1523,plain,
! [X2,X3,X0,X1] :
( empty_set != non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3))
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| ~ little_set(X0)
| X1 = X3 ),
inference(forward_demodulation,[],[f1398,f1395]) ).
fof(f1524,plain,
! [X2,X3,X1] :
( empty_set != non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3))
| ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| X1 = X3 ),
inference(condensation,[],[f1523]) ).
fof(f1542,plain,
! [X2,X3,X1] :
( ~ little_set(X1)
| ~ little_set(X2)
| ~ little_set(X3)
| X1 = X3 ),
inference(forward_subsumption_resolution,[],[f1524,f1395]) ).
fof(f1543,plain,
! [X3,X1] :
( ~ little_set(X1)
| ~ little_set(X3)
| X1 = X3 ),
inference(condensation,[],[f1542]) ).
fof(f1551,plain,
! [X2,X0,X1] :
( ~ closed(X1,X2)
| X0 = X1
| ~ little_set(X0) ),
inference(resolution,[],[f1543,f142]) ).
fof(f1552,plain,
! [X2,X0,X1] :
( ~ closed(X2,X1)
| X0 = X1
| ~ little_set(X0) ),
inference(resolution,[],[f1543,f143]) ).
fof(f1719,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ homomorphism(X2,X3,X4,X1,X5)
| ~ little_set(X0)
| X0 = X1 ),
inference(resolution,[],[f1551,f156]) ).
fof(f1721,plain,
( ! [X0] :
( ~ little_set(X0)
| f64 = X0 )
| ~ spl1_1 ),
inference(resolution,[],[f1551,f571]) ).
fof(f1730,plain,
( infinity = f64
| ~ spl1_1 ),
inference(resolution,[],[f1721,f72]) ).
fof(f1758,plain,
! [X0] :
( ~ little_set(X0)
| f66 = X0 ),
inference(resolution,[],[f1719,f191]) ).
fof(f1769,plain,
infinity = f66,
inference(resolution,[],[f1758,f72]) ).
fof(f1823,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ homomorphism(X2,X3,X4,X5,X1)
| ~ little_set(X0)
| X0 = X1 ),
inference(resolution,[],[f1552,f156]) ).
fof(f1824,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ homomorphism(X2,X3,X1,X4,X5)
| ~ little_set(X0)
| X0 = X1 ),
inference(resolution,[],[f1552,f155]) ).
fof(f1825,plain,
( ! [X0] :
( ~ little_set(X0)
| f65 = X0 )
| ~ spl1_1 ),
inference(resolution,[],[f1552,f571]) ).
fof(f1829,plain,
( ! [X0,X1] :
( f65 = X0
| ~ closed(X1,X0) )
| ~ spl1_1 ),
inference(resolution,[],[f1825,f143]) ).
fof(f1834,plain,
( infinity = f65
| ~ spl1_1 ),
inference(resolution,[],[f1825,f72]) ).
fof(f1873,plain,
! [X0] :
( ~ little_set(X0)
| f67 = X0 ),
inference(resolution,[],[f1823,f191]) ).
fof(f1884,plain,
infinity = f67,
inference(resolution,[],[f1873,f72]) ).
fof(f1926,plain,
! [X0] :
( ~ little_set(X0)
| f63 = X0 ),
inference(resolution,[],[f1824,f190]) ).
fof(f1936,plain,
infinity = f63,
inference(resolution,[],[f1926,f72]) ).
fof(f2140,plain,
( ! [X0,X1] :
( infinity = X0
| ~ closed(X1,X0) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f1829,f1834]) ).
fof(f2141,plain,
( ! [X0,X1] :
( ~ closed(X1,X0)
| empty_set = X0 )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f2140,f1394]) ).
fof(f2144,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ homomorphism(X1,X2,X0,X3,X4)
| empty_set = X0 )
| ~ spl1_1 ),
inference(resolution,[],[f2141,f155]) ).
fof(f2189,plain,
( empty_set = f63
| ~ spl1_1 ),
inference(resolution,[],[f2144,f190]) ).
fof(f2192,plain,
( homomorphism(f60,f62,empty_set,f64,f65)
| ~ spl1_1 ),
inference(superposition,[],[f190,f2189]) ).
fof(f2207,plain,
( homomorphism(f60,f62,empty_set,f64,infinity)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f2192,f1834]) ).
fof(f2212,plain,
( homomorphism(f60,f62,empty_set,f64,empty_set)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f2207,f1394]) ).
fof(f2216,plain,
( homomorphism(f60,f62,empty_set,infinity,empty_set)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f2212,f1730]) ).
fof(f2220,plain,
( homomorphism(f60,f62,empty_set,empty_set,empty_set)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f2216,f1394]) ).
fof(f2222,plain,
( homomorphism(f60,empty_set,empty_set,empty_set,empty_set)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f2220,f1325]) ).
fof(f2667,plain,
! [X0,X1] :
( ~ little_set(X0)
| X0 = X1 ),
inference(resolution,[],[f1402,f1490]) ).
fof(f2680,plain,
! [X0] : infinity = X0,
inference(resolution,[],[f2667,f72]) ).
fof(f2687,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f2680,f2680]) ).
fof(f3630,plain,
! [X0] : ~ homomorphism(X0,f62,f63,f66,f67),
inference(superposition,[],[f232,f2687]) ).
fof(f3769,plain,
! [X0] : ~ homomorphism(X0,f62,f63,f66,infinity),
inference(forward_demodulation,[],[f3630,f1884]) ).
fof(f3915,plain,
! [X0] : ~ homomorphism(X0,f62,f63,f66,empty_set),
inference(forward_demodulation,[],[f3769,f1394]) ).
fof(f4051,plain,
! [X0] : ~ homomorphism(X0,f62,f63,infinity,empty_set),
inference(forward_demodulation,[],[f3915,f1769]) ).
fof(f4167,plain,
! [X0] : ~ homomorphism(X0,f62,f63,empty_set,empty_set),
inference(forward_demodulation,[],[f4051,f1394]) ).
fof(f4261,plain,
! [X0] : ~ homomorphism(X0,f62,infinity,empty_set,empty_set),
inference(forward_demodulation,[],[f4167,f1936]) ).
fof(f4332,plain,
! [X0] : ~ homomorphism(X0,f62,empty_set,empty_set,empty_set),
inference(forward_demodulation,[],[f4261,f1394]) ).
fof(f4389,plain,
! [X0] : ~ homomorphism(X0,empty_set,empty_set,empty_set,empty_set),
inference(forward_demodulation,[],[f4332,f1325]) ).
fof(f4464,plain,
( $false
| ~ spl1_1 ),
inference(unit_resulting_resolution,[],[f4389,f2222]) ).
fof(f4469,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f4464]) ).
cnf(s3,plain,
spl1_1,
inference(sat_conversion,[],[f583]) ).
cnf(s6,plain,
~ spl1_1,
inference(sat_conversion,[],[f4469]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s3,s6]) ).
fof(f4470,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:16:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 11.51/2.32 % (1063542)Input is clausal, will run a generic CNF schedule.
% 11.51/2.32 % (1063551)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3409994316:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.51/2.32 % (1063551)Instruction limit reached!
% 11.51/2.32 % (1063551)------------------------------
% 11.51/2.32 % (1063551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.32 % (1063551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.32 % (1063551)CaDiCaL version: 2.1.3
% 11.51/2.32 % (1063551)Termination reason: Instruction limit
% 11.51/2.32 % (1063551)Termination phase: Saturation
% 11.51/2.32 % (1063551)Time elapsed: 0.041 s
% 11.51/2.32 % (1063551)Peak memory usage: 89 MB
% 11.51/2.32 % (1063551)Instructions burned: 117 (million)
% 11.51/2.32 % (1063549)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2323867465:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.51/2.32 % (1063547)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=3080702825:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.51/2.32 % (1063550)lrs+10_1_sil=8000:sp=occurrence:random_seed=636227986:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.51/2.32 % (1063548)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3550495988:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.51/2.32 % (1063552)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3936998266:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.51/2.32 % (1063553)dis-21_1_sil=8000:lcm=predicate:random_seed=1301816864: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)
% 11.51/2.32 % (1063550)Instruction limit reached!
% 11.51/2.32 % (1063550)------------------------------
% 11.51/2.32 % (1063550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.32 % (1063550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.32 % (1063550)CaDiCaL version: 2.1.3
% 11.51/2.32 % (1063550)Termination reason: Instruction limit
% 11.51/2.32 % (1063550)Termination phase: Saturation
% 11.51/2.32 % (1063550)Time elapsed: 0.065 s
% 11.51/2.32 % (1063550)Peak memory usage: 89 MB
% 11.51/2.32 % (1063550)Instructions burned: 107 (million)
% 11.51/2.32 % (1063553)Instruction limit reached!
% 11.51/2.32 % (1063553)------------------------------
% 11.51/2.32 % (1063553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.32 % (1063553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.32 % (1063553)CaDiCaL version: 2.1.3
% 11.51/2.32 % (1063553)Termination reason: Instruction limit
% 11.51/2.32 % (1063553)Termination phase: Saturation
% 11.51/2.32 % (1063553)Time elapsed: 0.076 s
% 11.51/2.32 % (1063553)Peak memory usage: 89 MB
% 11.51/2.32 % (1063553)Instructions burned: 118 (million)
% 11.51/2.32 % (1063559)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=781337971:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.51/2.32 % (1063552)Instruction limit reached!
% 11.51/2.32 % (1063552)------------------------------
% 11.51/2.32 % (1063552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.32 % (1063552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.32 % (1063552)CaDiCaL version: 2.1.3
% 11.51/2.32 % (1063552)Termination reason: Instruction limit
% 11.51/2.32 % (1063552)Termination phase: Saturation
% 11.51/2.32 % (1063552)Time elapsed: 0.133 s
% 11.51/2.32 % (1063552)Peak memory usage: 90 MB
% 11.51/2.32 % (1063552)Instructions burned: 181 (million)
% 11.51/2.32 % (1063559)Instruction limit reached!
% 11.51/2.32 % (1063559)------------------------------
% 11.51/2.32 % (1063559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.32 % (1063559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.32 % (1063559)CaDiCaL version: 2.1.3
% 11.51/2.32 % (1063559)Termination reason: Instruction limit
% 11.51/2.32 % (1063559)Termination phase: Saturation
% 11.51/2.32 % (1063559)Time elapsed: 0.055 s
% 11.51/2.32 % (1063559)Peak memory usage: 90 MB
% 11.51/2.32 % (1063559)Instructions burned: 144 (million)
% 11.51/2.32 % (1063562)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1665588584: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)
% 18.30/3.25 % (1063563)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1806616195:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 18.30/3.25 % (1063566)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1137929636:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 18.30/3.25 % (1063565)lrs+10_64_to=lpo:sil=8000:random_seed=2199484794:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 18.30/3.25 % (1063562)Instruction limit reached!
% 18.30/3.25 % (1063562)------------------------------
% 18.30/3.25 % (1063562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.25 % (1063562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.25 % (1063562)CaDiCaL version: 2.1.3
% 18.30/3.25 % (1063562)Termination reason: Instruction limit
% 18.30/3.25 % (1063562)Termination phase: Saturation
% 18.30/3.25 % (1063562)Time elapsed: 0.106 s
% 18.30/3.25 % (1063562)Peak memory usage: 91 MB
% 18.30/3.25 % (1063562)Instructions burned: 190 (million)
% 18.30/3.25 % (1063566)Instruction limit reached!
% 18.30/3.25 % (1063566)------------------------------
% 18.30/3.25 % (1063566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.25 % (1063566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.25 % (1063566)CaDiCaL version: 2.1.3
% 18.30/3.25 % (1063566)Termination reason: Instruction limit
% 18.30/3.25 % (1063566)Termination phase: Saturation
% 18.30/3.25 % (1063566)Time elapsed: 0.069 s
% 18.30/3.25 % (1063566)Peak memory usage: 90 MB
% 18.30/3.25 % (1063566)Instructions burned: 196 (million)
% 18.30/3.25 % (1063565)Instruction limit reached!
% 18.30/3.25 % (1063565)------------------------------
% 18.30/3.25 % (1063565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.25 % (1063565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.25 % (1063565)CaDiCaL version: 2.1.3
% 18.30/3.25 % (1063565)Termination reason: Instruction limit
% 18.30/3.25 % (1063565)Termination phase: Saturation
% 18.30/3.25 % (1063565)Time elapsed: 0.074 s
% 18.30/3.25 % (1063565)Peak memory usage: 90 MB
% 18.30/3.25 % (1063565)Instructions burned: 128 (million)
% 18.30/3.25 % (1063563)Instruction limit reached!
% 18.30/3.25 % (1063563)------------------------------
% 18.30/3.25 % (1063563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.25 % (1063563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.25 % (1063563)CaDiCaL version: 2.1.3
% 18.30/3.25 % (1063563)Termination reason: Instruction limit
% 18.30/3.25 % (1063563)Termination phase: Saturation
% 18.30/3.25 % (1063563)Time elapsed: 0.146 s
% 18.30/3.25 % (1063563)Peak memory usage: 90 MB
% 18.30/3.25 % (1063563)Instructions burned: 220 (million)
% 18.30/3.25 % (1063572)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3559730282:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 18.30/3.25 % (1063571)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3636076446:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 18.30/3.25 % (1063573)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=3121896992:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 18.30/3.25 % (1063574)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1469942225:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 18.30/3.25 % (1063573)Instruction limit reached!
% 18.30/3.25 % (1063573)------------------------------
% 18.30/3.25 % (1063573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.25 % (1063573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.25 % (1063573)CaDiCaL version: 2.1.3
% 18.30/3.25 % (1063573)Termination reason: Instruction limit
% 18.30/3.25 % (1063573)Termination phase: Saturation
% 18.30/3.25 % (1063573)Time elapsed: 0.058 s
% 18.30/3.25 % (1063573)Peak memory usage: 89 MB
% 18.30/3.25 % (1063573)Instructions burned: 108 (million)
% 18.30/3.25 % (1063571)Instruction limit reached!
% 18.30/3.25 % (1063571)------------------------------
% 18.30/3.25 % (1063571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/5.91 % (1063571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/5.91 % (1063571)CaDiCaL version: 2.1.3
% 36.20/5.91 % (1063571)Termination reason: Instruction limit
% 36.20/5.91 % (1063571)Termination phase: Saturation
% 36.20/5.91 % (1063571)Time elapsed: 0.101 s
% 36.20/5.91 % (1063571)Peak memory usage: 91 MB
% 36.20/5.91 % (1063571)Instructions burned: 157 (million)
% 36.20/5.91 % (1063574)Instruction limit reached!
% 36.20/5.91 % (1063574)------------------------------
% 36.20/5.91 % (1063574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/5.91 % (1063574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/5.91 % (1063574)CaDiCaL version: 2.1.3
% 36.20/5.91 % (1063574)Termination reason: Instruction limit
% 36.20/5.91 % (1063574)Termination phase: Saturation
% 36.20/5.91 % (1063574)Time elapsed: 0.079 s
% 36.20/5.91 % (1063574)Peak memory usage: 90 MB
% 36.20/5.91 % (1063574)Instructions burned: 108 (million)
% 36.20/5.91 % (1063580)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3301300152:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 36.20/5.91 % (1063579)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1037740494:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 36.20/5.91 % (1063581)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=77441368:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 36.20/5.91 % (1063579)Instruction limit reached!
% 36.20/5.91 % (1063579)------------------------------
% 36.20/5.91 % (1063579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/5.91 % (1063579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/5.91 % (1063579)CaDiCaL version: 2.1.3
% 36.20/5.91 % (1063579)Termination reason: Instruction limit
% 36.20/5.91 % (1063579)Termination phase: Saturation
% 36.20/5.91 % (1063579)Time elapsed: 0.163 s
% 36.20/5.91 % (1063579)Peak memory usage: 90 MB
% 36.20/5.91 % (1063579)Instructions burned: 243 (million)
% 36.20/5.91 % (1063581)Instruction limit reached!
% 36.20/5.91 % (1063581)------------------------------
% 36.20/5.91 % (1063581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/5.91 % (1063581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/5.91 % (1063581)CaDiCaL version: 2.1.3
% 36.20/5.91 % (1063581)Termination reason: Instruction limit
% 36.20/5.91 % (1063581)Termination phase: Saturation
% 36.20/5.91 % (1063581)Time elapsed: 0.100 s
% 36.20/5.91 % (1063581)Peak memory usage: 89 MB
% 36.20/5.91 % (1063581)Instructions burned: 135 (million)
% 36.20/5.91 % (1063585)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1529679293:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 36.20/5.91 % (1063586)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2118774620:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 36.20/5.91 % (1063586)Instruction limit reached!
% 36.20/5.91 % (1063586)------------------------------
% 36.20/5.91 % (1063586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/5.91 % (1063586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/5.91 % (1063586)CaDiCaL version: 2.1.3
% 36.20/5.91 % (1063586)Termination reason: Instruction limit
% 36.20/5.91 % (1063586)Termination phase: Saturation
% 36.20/5.91 % (1063586)Time elapsed: 0.114 s
% 36.20/5.91 % (1063586)Peak memory usage: 92 MB
% 36.20/5.91 % (1063586)Instructions burned: 192 (million)
% 36.20/5.91 % (1063585)Instruction limit reached!
% 36.20/5.91 % (1063585)------------------------------
% 36.20/5.91 % (1063585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/5.91 % (1063585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/5.91 % (1063585)CaDiCaL version: 2.1.3
% 36.20/5.91 % (1063585)Termination reason: Instruction limit
% 36.20/5.91 % (1063585)Termination phase: Saturation
% 36.20/5.91 % (1063585)Time elapsed: 0.276 s
% 36.20/5.91 % (1063585)Peak memory usage: 94 MB
% 36.20/5.91 % (1063585)Instructions burned: 500 (million)
% 36.20/5.91 % (1063589)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2766835347:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 36.20/5.91 % (1063590)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4249344041:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 47.17/7.39 % (1063589)Instruction limit reached!
% 47.17/7.39 % (1063589)------------------------------
% 47.17/7.39 % (1063589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.17/7.39 % (1063589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.17/7.39 % (1063589)CaDiCaL version: 2.1.3
% 47.17/7.39 % (1063589)Termination reason: Instruction limit
% 47.17/7.39 % (1063589)Termination phase: Saturation
% 47.17/7.39 % (1063589)Time elapsed: 0.158 s
% 47.17/7.39 % (1063589)Peak memory usage: 92 MB
% 47.17/7.39 % (1063589)Instructions burned: 265 (million)
% 47.17/7.39 % (1063590)Instruction limit reached!
% 47.17/7.39 % (1063590)------------------------------
% 47.17/7.39 % (1063590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.17/7.39 % (1063590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.17/7.39 % (1063590)CaDiCaL version: 2.1.3
% 47.17/7.39 % (1063590)Termination reason: Instruction limit
% 47.17/7.39 % (1063590)Termination phase: Saturation
% 47.17/7.39 % (1063590)Time elapsed: 0.108 s
% 47.17/7.39 % (1063590)Peak memory usage: 90 MB
% 47.17/7.39 % (1063590)Instructions burned: 156 (million)
% 47.17/7.39 % (1063572)Instruction limit reached!
% 47.17/7.39 % (1063572)------------------------------
% 47.17/7.39 % (1063572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.17/7.39 % (1063572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.17/7.39 % (1063572)CaDiCaL version: 2.1.3
% 47.17/7.39 % (1063572)Termination reason: Instruction limit
% 47.17/7.39 % (1063572)Termination phase: Saturation
% 47.17/7.39 % (1063572)Time elapsed: 1.135 s
% 47.17/7.39 % (1063572)Peak memory usage: 151 MB
% 47.17/7.39 % (1063572)Instructions burned: 3396 (million)
% 47.17/7.39 % (1063593)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=3028112591:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 47.17/7.39 % (1063595)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=301364731:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 47.17/7.39 % (1063594)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=214942959:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 47.17/7.39 % (1063595)Instruction limit reached!
% 47.17/7.39 % (1063595)------------------------------
% 47.17/7.39 % (1063595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.17/7.39 % (1063595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.17/7.39 % (1063595)CaDiCaL version: 2.1.3
% 47.17/7.39 % (1063595)Termination reason: Instruction limit
% 47.17/7.39 % (1063595)Termination phase: Saturation
% 47.17/7.39 % (1063595)Time elapsed: 0.057 s
% 47.17/7.39 % (1063595)Peak memory usage: 91 MB
% 47.17/7.39 % (1063595)Instructions burned: 181 (million)
% 47.17/7.39 % (1063599)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1143113110:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2980 on theBenchmark for (2980ds/10307Mi)
% 47.17/7.39 % (1063594)Instruction limit reached!
% 47.17/7.39 % (1063594)------------------------------
% 47.17/7.39 % (1063594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.17/7.39 % (1063594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.17/7.39 % (1063594)CaDiCaL version: 2.1.3
% 47.17/7.39 % (1063594)Termination reason: Instruction limit
% 47.17/7.39 % (1063594)Termination phase: Saturation
% 47.17/7.39 % (1063594)Time elapsed: 0.302 s
% 47.17/7.39 % (1063594)Peak memory usage: 91 MB
% 47.17/7.39 % (1063594)Instructions burned: 537 (million)
% 47.17/7.39 % (1063601)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2410541754:i=412:gtgl=4:gtg=exists_all_2977 on theBenchmark for (2977ds/412Mi)
% 47.17/7.39 % (1063601)Instruction limit reached!
% 47.17/7.39 % (1063601)------------------------------
% 47.17/7.39 % (1063601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.17/7.39 % (1063601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.17/7.39 % (1063601)CaDiCaL version: 2.1.3
% 47.17/7.39 % (1063601)Termination reason: Instruction limit
% 47.17/7.39 % (1063601)Termination phase: Saturation
% 68.64/10.33 % (1063601)Time elapsed: 0.197 s
% 68.64/10.33 % (1063601)Peak memory usage: 90 MB
% 68.64/10.33 % (1063601)Instructions burned: 412 (million)
% 68.64/10.33 % (1063604)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3508764185:s2pl=no:i=8478:s2at=4:nm=6_2974 on theBenchmark for (2974ds/8478Mi)
% 68.64/10.33 % (1063593)Instruction limit reached!
% 68.64/10.33 % (1063593)------------------------------
% 68.64/10.33 % (1063593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/10.33 % (1063593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/10.33 % (1063593)CaDiCaL version: 2.1.3
% 68.64/10.33 % (1063593)Termination reason: Instruction limit
% 68.64/10.33 % (1063593)Termination phase: Saturation
% 68.64/10.33 % (1063593)Time elapsed: 1.991 s
% 68.64/10.33 % (1063593)Peak memory usage: 147 MB
% 68.64/10.33 % (1063593)Instructions burned: 3257 (million)
% 68.64/10.33 % (1063580)Instruction limit reached!
% 68.64/10.33 % (1063580)------------------------------
% 68.64/10.33 % (1063580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/10.33 % (1063580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/10.33 % (1063580)CaDiCaL version: 2.1.3
% 68.64/10.33 % (1063580)Termination reason: Instruction limit
% 68.64/10.33 % (1063580)Termination phase: Saturation
% 68.64/10.33 % (1063580)Time elapsed: 3.074 s
% 68.64/10.33 % (1063580)Peak memory usage: 163 MB
% 68.64/10.33 % (1063580)Instructions burned: 5209 (million)
% 68.64/10.33 % (1063606)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2860031361:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2961 on theBenchmark for (2961ds/303Mi)
% 68.64/10.33 % (1063607)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3537884062:st=4:i=720:sd=3:fsr=off:ss=axioms_2960 on theBenchmark for (2960ds/720Mi)
% 68.64/10.33 % (1063606)Instruction limit reached!
% 68.64/10.33 % (1063606)------------------------------
% 68.64/10.33 % (1063606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/10.33 % (1063606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/10.33 % (1063606)CaDiCaL version: 2.1.3
% 68.64/10.33 % (1063606)Termination reason: Instruction limit
% 68.64/10.33 % (1063606)Termination phase: Saturation
% 68.64/10.33 % (1063606)Time elapsed: 0.164 s
% 68.64/10.33 % (1063606)Peak memory usage: 94 MB
% 68.64/10.33 % (1063606)Instructions burned: 305 (million)
% 68.64/10.33 % (1063610)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=640150438:i=598:bs=on:bd=preordered:av=off:ss=axioms_2958 on theBenchmark for (2958ds/598Mi)
% 68.64/10.33 % (1063607)Instruction limit reached!
% 68.64/10.33 % (1063607)------------------------------
% 68.64/10.33 % (1063607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/10.33 % (1063607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/10.33 % (1063607)CaDiCaL version: 2.1.3
% 68.64/10.33 % (1063607)Termination reason: Instruction limit
% 68.64/10.33 % (1063607)Termination phase: Saturation
% 68.64/10.33 % (1063607)Time elapsed: 0.385 s
% 68.64/10.33 % (1063607)Peak memory usage: 100 MB
% 68.64/10.33 % (1063607)Instructions burned: 720 (million)
% 68.64/10.33 % (1063610)Instruction limit reached!
% 68.64/10.33 % (1063610)------------------------------
% 68.64/10.33 % (1063610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/10.33 % (1063610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/10.33 % (1063610)CaDiCaL version: 2.1.3
% 68.64/10.33 % (1063610)Termination reason: Instruction limit
% 68.64/10.33 % (1063610)Termination phase: Saturation
% 68.64/10.33 % (1063610)Time elapsed: 0.327 s
% 68.64/10.33 % (1063610)Peak memory usage: 96 MB
% 68.64/10.33 % (1063610)Instructions burned: 598 (million)
% 68.64/10.33 % (1063612)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3649020831:i=2989:sd=3:ss=axioms:sgt=60_2954 on theBenchmark for (2954ds/2989Mi)
% 68.64/10.33 % (1063613)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=2645896610:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2953 on theBenchmark for (2953ds/1997Mi)
% 68.64/10.33 % (1063599)Instruction limit reached!
% 68.64/10.33 % (1063599)------------------------------
% 98.06/14.53 % (1063599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.06/14.53 % (1063599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.06/14.53 % (1063599)CaDiCaL version: 2.1.3
% 98.06/14.53 % (1063599)Termination reason: Instruction limit
% 98.06/14.53 % (1063599)Termination phase: Saturation
% 98.06/14.53 % (1063599)Time elapsed: 3.166 s
% 98.06/14.53 % (1063599)Peak memory usage: 161 MB
% 98.06/14.53 % (1063599)Instructions burned: 10308 (million)
% 98.06/14.53 % (1063616)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3004294705:i=2088:bd=preordered:av=off_2947 on theBenchmark for (2947ds/2088Mi)
% 98.06/14.53 % (1063616)Instruction limit reached!
% 98.06/14.53 % (1063616)------------------------------
% 98.06/14.53 % (1063616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.06/14.53 % (1063616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.06/14.53 % (1063616)CaDiCaL version: 2.1.3
% 98.06/14.53 % (1063616)Termination reason: Instruction limit
% 98.06/14.53 % (1063616)Termination phase: Saturation
% 98.06/14.53 % (1063616)Time elapsed: 0.732 s
% 98.06/14.53 % (1063616)Peak memory usage: 138 MB
% 98.06/14.53 % (1063616)Instructions burned: 2089 (million)
% 98.06/14.53 % (1063613)Instruction limit reached!
% 98.06/14.53 % (1063613)------------------------------
% 98.06/14.53 % (1063613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.06/14.53 % (1063613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.06/14.53 % (1063613)CaDiCaL version: 2.1.3
% 98.06/14.53 % (1063613)Termination reason: Instruction limit
% 98.06/14.53 % (1063613)Termination phase: Saturation
% 98.06/14.53 % (1063613)Time elapsed: 1.307 s
% 98.06/14.53 % (1063613)Peak memory usage: 138 MB
% 98.06/14.53 % (1063613)Instructions burned: 1998 (million)
% 98.06/14.53 % (1063618)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2342334221:i=1098:nicw=on_2938 on theBenchmark for (2938ds/1098Mi)
% 98.06/14.53 % (1063619)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3293640933:i=433:bd=preordered_2938 on theBenchmark for (2938ds/433Mi)
% 98.06/14.53 % (1063618)Instruction limit reached!
% 98.06/14.53 % (1063618)------------------------------
% 98.06/14.53 % (1063618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.06/14.53 % (1063618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.06/14.53 % (1063618)CaDiCaL version: 2.1.3
% 98.06/14.53 % (1063618)Termination reason: Instruction limit
% 98.06/14.53 % (1063618)Termination phase: Saturation
% 98.06/14.53 % (1063618)Time elapsed: 0.295 s
% 98.06/14.53 % (1063618)Peak memory usage: 112 MB
% 98.06/14.53 % (1063618)Instructions burned: 1099 (million)
% 98.06/14.53 % (1063612)Instruction limit reached!
% 98.06/14.53 % (1063612)------------------------------
% 98.06/14.53 % (1063612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.06/14.53 % (1063612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.06/14.53 % (1063612)CaDiCaL version: 2.1.3
% 98.06/14.53 % (1063612)Termination reason: Instruction limit
% 98.06/14.53 % (1063612)Termination phase: Saturation
% 98.06/14.53 % (1063612)Time elapsed: 1.879 s
% 98.06/14.53 % (1063612)Peak memory usage: 145 MB
% 98.06/14.53 % (1063612)Instructions burned: 2989 (million)
% 98.06/14.53 % (1063619)Instruction limit reached!
% 98.06/14.53 % (1063619)------------------------------
% 98.06/14.53 % (1063619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.06/14.53 % (1063619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.06/14.53 % (1063619)CaDiCaL version: 2.1.3
% 98.06/14.53 % (1063619)Termination reason: Instruction limit
% 98.06/14.53 % (1063619)Termination phase: Saturation
% 98.06/14.53 % (1063619)Time elapsed: 0.285 s
% 98.06/14.53 % (1063619)Peak memory usage: 93 MB
% 98.06/14.53 % (1063619)Instructions burned: 433 (million)
% 98.06/14.53 % (1063622)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=2704764818:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2934 on theBenchmark for (2934ds/2942Mi)
% 98.06/14.53 % (1063624)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=1777370004:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2934 on theBenchmark for (2934ds/596Mi)
% 118.68/17.48 % (1063623)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=3151010541:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2934 on theBenchmark for (2934ds/6922Mi)
% 118.68/17.48 % (1063624)Instruction limit reached!
% 118.68/17.48 % (1063624)------------------------------
% 118.68/17.48 % (1063624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.68/17.48 % (1063624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.68/17.48 % (1063624)CaDiCaL version: 2.1.3
% 118.68/17.48 % (1063624)Termination reason: Instruction limit
% 118.68/17.48 % (1063624)Termination phase: Saturation
% 118.68/17.48 % (1063624)Time elapsed: 0.293 s
% 118.68/17.48 % (1063624)Peak memory usage: 96 MB
% 118.68/17.48 % (1063624)Instructions burned: 596 (million)
% 118.68/17.48 % (1063628)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3489752949:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2929 on theBenchmark for (2929ds/4123Mi)
% 118.68/17.48 % (1063622)Instruction limit reached!
% 118.68/17.48 % (1063622)------------------------------
% 118.68/17.48 % (1063622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.68/17.48 % (1063622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.68/17.48 % (1063622)CaDiCaL version: 2.1.3
% 118.68/17.48 % (1063622)Termination reason: Instruction limit
% 118.68/17.48 % (1063622)Termination phase: Saturation
% 118.68/17.48 % (1063622)Time elapsed: 1.075 s
% 118.68/17.48 % (1063622)Peak memory usage: 144 MB
% 118.68/17.48 % (1063622)Instructions burned: 2942 (million)
% 118.68/17.48 % (1063630)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3555119221:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2922 on theBenchmark for (2922ds/16411Mi)
% 118.68/17.48 % (1063604)Instruction limit reached!
% 118.68/17.48 % (1063604)------------------------------
% 118.68/17.48 % (1063604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.68/17.48 % (1063604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.68/17.48 % (1063604)CaDiCaL version: 2.1.3
% 118.68/17.48 % (1063604)Termination reason: Instruction limit
% 118.68/17.48 % (1063604)Termination phase: Saturation
% 118.68/17.48 % (1063604)Time elapsed: 5.384 s
% 118.68/17.48 % (1063604)Peak memory usage: 167 MB
% 118.68/17.48 % (1063604)Instructions burned: 8479 (million)
% 118.68/17.48 % (1063632)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1201690155:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2918 on theBenchmark for (2918ds/1670Mi)
% 118.68/17.48 % (1063632)Instruction limit reached!
% 118.68/17.48 % (1063632)------------------------------
% 118.68/17.48 % (1063632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.68/17.48 % (1063632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.68/17.48 % (1063632)CaDiCaL version: 2.1.3
% 118.68/17.48 % (1063632)Termination reason: Instruction limit
% 118.68/17.48 % (1063632)Termination phase: Saturation
% 118.68/17.48 % (1063632)Time elapsed: 0.610 s
% 118.68/17.48 % (1063632)Peak memory usage: 137 MB
% 118.68/17.48 % (1063632)Instructions burned: 1672 (million)
% 118.68/17.48 % (1063634)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=2364384689:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2911 on theBenchmark for (2911ds/1722Mi)
% 118.68/17.48 % (1063628)Instruction limit reached!
% 118.68/17.48 % (1063628)------------------------------
% 118.68/17.48 % (1063628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.68/17.48 % (1063628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.68/17.48 % (1063628)CaDiCaL version: 2.1.3
% 118.68/17.48 % (1063628)Termination reason: Instruction limit
% 118.68/17.48 % (1063628)Termination phase: Saturation
% 118.68/17.48 % (1063628)Time elapsed: 2.472 s
% 118.68/17.48 % (1063628)Peak memory usage: 160 MB
% 118.68/17.48 % (1063628)Instructions burned: 4124 (million)
% 118.68/17.48 % (1063634)Instruction limit reached!
% 118.68/17.48 % (1063634)------------------------------
% 118.68/17.48 % (1063634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.68/17.48 % (1063634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.68/17.48 % (1063634)CaDiCaL version: 2.1.3
% 118.68/17.48 % (1063634)Termination reason: Instruction limit
% 59.50/17.75 % (1063634)Termination phase: Saturation
% 59.50/17.75 % (1063634)Time elapsed: 0.666 s
% 59.50/17.75 % (1063634)Peak memory usage: 135 MB
% 59.50/17.75 % (1063634)Instructions burned: 1723 (million)
% 59.50/17.75 % (1063637)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2600006274:st=2:i=4495:sd=10:ss=included_2903 on theBenchmark for (2903ds/4495Mi)
% 59.50/17.75 % (1063636)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=2640972531:cts=off:cond=on:i=9530:bs=on:fsd=on_2903 on theBenchmark for (2903ds/9530Mi)
% 59.50/17.75 % (1063623)Instruction limit reached!
% 59.50/17.75 % (1063623)------------------------------
% 59.50/17.75 % (1063623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063623)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063623)Termination reason: Instruction limit
% 59.50/17.75 % (1063623)Termination phase: Saturation
% 59.50/17.75 % (1063623)Time elapsed: 3.696 s
% 59.50/17.75 % (1063623)Peak memory usage: 195 MB
% 59.50/17.75 % (1063623)Instructions burned: 6923 (million)
% 59.50/17.75 % (1063640)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=2985188481:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2895 on theBenchmark for (2895ds/4920Mi)
% 59.50/17.75 % (1063637)Instruction limit reached!
% 59.50/17.75 % (1063637)------------------------------
% 59.50/17.75 % (1063637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063637)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063637)Termination reason: Instruction limit
% 59.50/17.75 % (1063637)Termination phase: Saturation
% 59.50/17.75 % (1063637)Time elapsed: 1.618 s
% 59.50/17.75 % (1063637)Peak memory usage: 161 MB
% 59.50/17.75 % (1063637)Instructions burned: 4496 (million)
% 59.50/17.75 % (1063642)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:lcm=reverse:bce=on:bsr=unit_only:random_seed=2403982722:cts=off:cond=on:i=2083:s2at=-1:fgj=on:av=off_2886 on theBenchmark for (2886ds/2083Mi)
% 59.50/17.75 % (1063642)Instruction limit reached!
% 59.50/17.75 % (1063642)------------------------------
% 59.50/17.75 % (1063642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063642)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063642)Termination reason: Instruction limit
% 59.50/17.75 % (1063642)Termination phase: Saturation
% 59.50/17.75 % (1063642)Time elapsed: 0.749 s
% 59.50/17.75 % (1063642)Peak memory usage: 139 MB
% 59.50/17.75 % (1063642)Instructions burned: 2086 (million)
% 59.50/17.75 % (1063644)lrs+31_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=weighted_frequency:sos=all:spb=units:lcm=predicate:bsr=on:gs=on:random_seed=1794436121:i=4629:av=off:gsp=on_2877 on theBenchmark for (2877ds/4629Mi)
% 59.50/17.75 % (1063640)Instruction limit reached!
% 59.50/17.75 % (1063640)------------------------------
% 59.50/17.75 % (1063640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063640)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063640)Termination reason: Instruction limit
% 59.50/17.75 % (1063640)Termination phase: Saturation
% 59.50/17.75 % (1063640)Time elapsed: 2.865 s
% 59.50/17.75 % (1063640)Peak memory usage: 158 MB
% 59.50/17.75 % (1063640)Instructions burned: 4921 (million)
% 59.50/17.75 % (1063646)dis+10_64_sil=16000:tgt=full:plsq=on:prc=on:drc=off:plsqc=2:plsqr=32,1:spb=goal:random_seed=1466469629:i=1258:av=off_2865 on theBenchmark for (2865ds/1258Mi)
% 59.50/17.75 % (1063644)Instruction limit reached!
% 59.50/17.75 % (1063644)------------------------------
% 59.50/17.75 % (1063644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063644)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063644)Termination reason: Instruction limit
% 59.50/17.75 % (1063644)Termination phase: Saturation
% 59.50/17.75 % (1063644)Time elapsed: 1.463 s
% 59.50/17.75 % (1063644)Peak memory usage: 157 MB
% 59.50/17.75 % (1063644)Instructions burned: 4632 (million)
% 59.50/17.75 % (1063648)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=546147601:i=7343:av=off:ss=included_2861 on theBenchmark for (2861ds/7343Mi)
% 59.50/17.75 % (1063646)Instruction limit reached!
% 59.50/17.75 % (1063646)------------------------------
% 59.50/17.75 % (1063646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063646)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063646)Termination reason: Instruction limit
% 59.50/17.75 % (1063646)Termination phase: Saturation
% 59.50/17.75 % (1063646)Time elapsed: 0.756 s
% 59.50/17.75 % (1063646)Peak memory usage: 105 MB
% 59.50/17.75 % (1063646)Instructions burned: 1260 (million)
% 59.50/17.75 % (1063650)lrs-1002_1_to=lpo:sil=16000:sp=reverse_arity:sos=on:random_seed=104350797:i=1325:sd=2:ss=axioms:sgt=16_2855 on theBenchmark for (2855ds/1325Mi)
% 59.50/17.75 % (1063636)Instruction limit reached!
% 59.50/17.75 % (1063636)------------------------------
% 59.50/17.75 % (1063636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063636)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063636)Termination reason: Instruction limit
% 59.50/17.75 % (1063636)Termination phase: Saturation
% 59.50/17.75 % (1063636)Time elapsed: 5.476 s
% 59.50/17.75 % (1063636)Peak memory usage: 157 MB
% 59.50/17.75 % (1063636)Instructions burned: 9532 (million)
% 59.50/17.75 % (1063650)Instruction limit reached!
% 59.50/17.75 % (1063650)------------------------------
% 59.50/17.75 % (1063650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063650)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063650)Termination reason: Instruction limit
% 59.50/17.75 % (1063650)Termination phase: Saturation
% 59.50/17.75 % (1063650)Time elapsed: 0.819 s
% 59.50/17.75 % (1063650)Peak memory usage: 100 MB
% 59.50/17.75 % (1063650)Instructions burned: 1326 (million)
% 59.50/17.75 % (1063652)dis+1011_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=arity:lma=off:spb=intro:urr=ec_only:sac=on:random_seed=3352202227:st=3.9:cond=fast:i=2646:s2at=1.8:sd=5:amm=off:gtg=position:ss=axioms:fsd=on_2846 on theBenchmark for (2846ds/2646Mi)
% 59.50/17.75 % (1063653)dis-1003_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=arity:sos=on:urr=on:random_seed=874135966:i=1489:sd=2:ep=R:ss=axioms_2846 on theBenchmark for (2846ds/1489Mi)
% 59.50/17.75 % (1063648)Instruction limit reached!
% 59.50/17.75 % (1063648)------------------------------
% 59.50/17.75 % (1063648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063648)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063648)Termination reason: Instruction limit
% 59.50/17.75 % (1063648)Termination phase: Saturation
% 59.50/17.75 % (1063648)Time elapsed: 2.156 s
% 59.50/17.75 % (1063648)Peak memory usage: 191 MB
% 59.50/17.75 % (1063648)Instructions burned: 7345 (million)
% 59.50/17.75 % (1063656)lrs+20_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:fde=unused:sp=occurrence:sos=on:lcm=predicate:urr=full:sac=on:random_seed=755029135:i=1503_2838 on theBenchmark for (2838ds/1503Mi)
% 59.50/17.75 % (1063653)Instruction limit reached!
% 59.50/17.75 % (1063653)------------------------------
% 59.50/17.75 % (1063653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063653)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063653)Termination reason: Instruction limit
% 59.50/17.75 % (1063653)Termination phase: Saturation
% 59.50/17.75 % (1063653)Time elapsed: 0.900 s
% 59.50/17.75 % (1063653)Peak memory usage: 134 MB
% 59.50/17.75 % (1063653)Instructions burned: 1490 (million)
% 59.50/17.75 % (1063658)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=16000:tgt=ground:npcc=on:random_seed=751265039:i=13942:kws=frequency_2835 on theBenchmark for (2835ds/13942Mi)
% 59.50/17.75 % (1063652)First to succeed.
% 59.50/17.75 % (1063652)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1063542"
% 59.50/17.75 % (1063656)Instruction limit reached!
% 59.50/17.75 % (1063656)------------------------------
% 59.50/17.75 % (1063656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.50/17.75 % (1063656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.50/17.75 % (1063656)CaDiCaL version: 2.1.3
% 59.50/17.75 % (1063656)Termination reason: Instruction limit
% 59.50/17.75 % (1063656)Termination phase: Saturation
% 59.50/17.75 % (1063656)Time elapsed: 0.529 s
% 59.50/17.75 % (1063656)Peak memory usage: 135 MB
% 59.50/17.75 % (1063656)Instructions burned: 1504 (million)
% 59.50/17.75 % (1063660)lrs-1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:bsd=on:sp=unary_frequency:spb=goal:lcm=predicate:acc=on:urr=full:bce=on:bsr=unit_only:s2agt=64:sac=on:random_seed=3762304203:i=3604:fsr=off:er=filter_2831 on theBenchmark for (2831ds/3604Mi)
% 59.50/17.75 % (1063652)Refutation found. Thanks to Tanya!
% 59.50/17.75 % SZS status Unsatisfiable for theBenchmark
% 59.50/17.75 % SZS output start Proof for theBenchmark
% See solution above
% 121.41/17.95 % (1063652)------------------------------
% 121.41/17.95 % (1063652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 121.41/17.95 % (1063652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.41/17.95 % (1063652)CaDiCaL version: 2.1.3
% 121.41/17.95 % (1063652)Termination reason: Refutation
% 121.41/17.95 % (1063652)Time elapsed: 1.295 s
% 121.41/17.95 % (1063652)Peak memory usage: 139 MB
% 121.41/17.95 % (1063652)Instructions burned: 1929 (million)
% 121.41/17.95 % (1063652)------------------------------
% 121.41/17.95 % (1063652)------------------------------
% 121.41/17.95 % (1063542)Success in time 17.069 s
% 121.41/17.95 % Vampire exiting
%------------------------------------------------------------------------------