%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET336-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:40:47 PM UTC 2026
% Result : Unsatisfiable 6.21s 2.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 34
% Syntax : Number of formulae : 147 ( 42 unt; 11 def)
% Number of atoms : 317 ( 106 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 319 ( 149 ~; 165 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-3 aty)
% Number of variables : 166 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
image(z,null_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_image_property1_1) ).
fof(f123,plain,
null_class != image(z,null_class),
inference(reorient_equations,[],[f122]) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f126,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f125,f28]) ).
fof(f128,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f128]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f128]) ).
fof(f139,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,f128]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f128]) ).
fof(f144,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3) ),
inference(definition_unfolding,[],[f37,f128,f128,f128,f128]) ).
fof(f186,plain,
null_class != domain_of(domain_of(flip(cross_product(intersection(z,cross_product(null_class,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f123,f126]) ).
fof(f188,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f191,definition,
sF0 = cross_product(null_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
cross_product(null_class,universal_class) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = intersection(z,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
intersection(z,sF0) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = cross_product(sF1,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
cross_product(sF1,universal_class) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF3 = flip(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f198,plain,
flip(sF2) = sF3,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF4 = domain_of(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f200,plain,
domain_of(sF3) = sF4,
inference(reorient_equations,[],[f199]) ).
fof(f201,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f202,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f201]) ).
fof(f203,plain,
null_class != sF5,
inference(definition_folding,[],[f186,f202,f200,f198,f196,f194,f192]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF0) ),
inference(superposition,[],[f22,f194]) ).
fof(f211,definition,
( spl6_1
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f212,plain,
( null_class != sF1
| spl6_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f213,plain,
( null_class = sF1
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f230,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f232,plain,
! [X0,X1] :
( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f140,f68]) ).
fof(f239,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f242,plain,
( sF0 = cross_product(sF1,universal_class)
| ~ spl6_1 ),
inference(superposition,[],[f192,f213]) ).
fof(f243,plain,
( sF0 = sF2
| ~ spl6_1 ),
inference(forward_demodulation,[],[f242,f196]) ).
fof(f330,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f239,f3]) ).
fof(f341,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f394,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f341,f70]) ).
fof(f710,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f394,f7]) ).
fof(f712,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f710]) ).
fof(f717,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
| member(first(regular(cross_product(X0,X1))),X2)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f137,f232]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
| member(second(regular(cross_product(X0,X1))),X3)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f138,f232]) ).
fof(f753,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| null_class = X0
| regular(X0) = unordered_pair(unordered_pair(first(regular(X0)),first(regular(X0))),unordered_pair(first(regular(X0)),unordered_pair(second(regular(X0)),second(regular(X0))))) ),
inference(resolution,[],[f230,f140]) ).
fof(f816,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f712,f341]) ).
fof(f830,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f717,f68]) ).
fof(f837,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f840,definition,
( spl6_23
<=> null_class = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).
fof(f841,plain,
( null_class != sF0
| spl6_23 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f842,plain,
( null_class = sF0
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f890,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f144,f816]) ).
fof(f892,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f890]) ).
fof(f894,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f718,f68]) ).
fof(f901,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f894]) ).
fof(f963,plain,
! [X0] :
( regular(flip(X0)) = unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(second(regular(flip(X0))),second(regular(flip(X0))))))
| null_class = flip(X0) ),
inference(resolution,[],[f753,f36]) ).
fof(f975,definition,
( spl6_26
<=> sF0 = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_26])],[avatar_definition]) ).
fof(f976,plain,
( sF0 != sF3
| spl6_26 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f977,plain,
( sF0 = sF3
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f987,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f892,f68]) ).
fof(f997,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f892,f987]) ).
fof(f1003,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f997,f837]) ).
fof(f1010,plain,
null_class = sF0,
inference(superposition,[],[f1003,f192]) ).
fof(f1023,plain,
( $false
| spl6_23 ),
inference(forward_subsumption_resolution,[],[f1010,f841]) ).
fof(f1024,plain,
spl6_23,
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1032,plain,
( sF0 = domain_of(sF0)
| ~ spl6_23 ),
inference(superposition,[],[f987,f842]) ).
fof(f1033,plain,
( ! [X0] : ~ member(X0,sF0)
| ~ spl6_23 ),
inference(superposition,[],[f997,f842]) ).
fof(f1037,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| null_class = flip(X0) ),
inference(superposition,[],[f137,f963]) ).
fof(f1058,plain,
( ! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| flip(X0) = sF0
| member(first(regular(flip(X0))),X1) )
| ~ spl6_23 ),
inference(forward_demodulation,[],[f1037,f842]) ).
fof(f1070,plain,
! [X0] :
( null_class = cross_product(X0,sF1)
| member(second(regular(cross_product(X0,sF1))),sF0) ),
inference(resolution,[],[f901,f208]) ).
fof(f1078,plain,
( ! [X0] : null_class = cross_product(X0,sF1)
| ~ spl6_23 ),
inference(forward_subsumption_resolution,[],[f1070,f1033]) ).
fof(f1090,plain,
( ! [X0] : sF0 = cross_product(X0,sF1)
| ~ spl6_23 ),
inference(forward_demodulation,[],[f1078,f842]) ).
fof(f1175,plain,
( ! [X2,X0,X1] :
( flip(X0) = sF0
| member(first(regular(flip(X0))),X1)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) )
| ~ spl6_23 ),
inference(resolution,[],[f1058,f230]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( flip(X0) = sF0
| flip(X0) = sF0
| member(first(regular(flip(X0))),X1)
| ~ subclass(flip(X0),cross_product(X1,X2)) )
| ~ spl6_23 ),
inference(forward_demodulation,[],[f1175,f842]) ).
fof(f1187,plain,
( ! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| flip(X0) = sF0 )
| ~ spl6_23 ),
inference(duplicate_literal_removal,[],[f1186]) ).
fof(f1190,plain,
( sF4 = domain_of(sF0)
| ~ spl6_26 ),
inference(superposition,[],[f200,f977]) ).
fof(f1191,plain,
( sF0 = sF4
| ~ spl6_23
| ~ spl6_26 ),
inference(forward_demodulation,[],[f1190,f1032]) ).
fof(f1192,plain,
( sF5 = domain_of(sF0)
| ~ spl6_23
| ~ spl6_26 ),
inference(superposition,[],[f202,f1191]) ).
fof(f1193,plain,
( sF0 = sF5
| ~ spl6_23
| ~ spl6_26 ),
inference(forward_demodulation,[],[f1192,f1032]) ).
fof(f1194,plain,
( null_class != sF0
| ~ spl6_23
| ~ spl6_26 ),
inference(superposition,[],[f203,f1193]) ).
fof(f1195,plain,
( $false
| ~ spl6_23
| ~ spl6_26 ),
inference(forward_subsumption_resolution,[],[f1194,f842]) ).
fof(f1196,plain,
( ~ spl6_23
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1298,plain,
( ! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,sF1)
| ~ member(X0,X2) )
| ~ spl6_23 ),
inference(superposition,[],[f139,f1090]) ).
fof(f1311,plain,
( ! [X2,X0,X1] :
( ~ member(X1,sF1)
| ~ member(X0,X2) )
| ~ spl6_23 ),
inference(forward_subsumption_resolution,[],[f1298,f1033]) ).
fof(f1313,definition,
( spl6_29
<=> ! [X2,X0] : ~ member(X0,X2) ),
introduced(definition,[new_symbols(definition,[spl6_29])],[avatar_definition]) ).
fof(f1314,plain,
( ! [X2,X0] : ~ member(X0,X2)
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f1316,definition,
( spl6_30
<=> ! [X1] : ~ member(X1,sF1) ),
introduced(definition,[new_symbols(definition,[spl6_30])],[avatar_definition]) ).
fof(f1317,plain,
( ! [X1] : ~ member(X1,sF1)
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1318,plain,
( spl6_29
| spl6_30
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f1311,f840,f1316,f1313]) ).
fof(f1319,plain,
( ! [X0] : null_class = X0
| ~ spl6_29 ),
inference(resolution,[],[f1314,f68]) ).
fof(f1341,plain,
( ! [X0] : sF0 = X0
| ~ spl6_23
| ~ spl6_29 ),
inference(forward_demodulation,[],[f1319,f842]) ).
fof(f1557,plain,
( null_class != sF0
| ~ spl6_23
| ~ spl6_29 ),
inference(superposition,[],[f203,f1341]) ).
fof(f1560,plain,
( $false
| ~ spl6_23
| ~ spl6_29 ),
inference(forward_subsumption_resolution,[],[f1557,f842]) ).
fof(f1561,plain,
( ~ spl6_23
| ~ spl6_29 ),
inference(avatar_contradiction_clause,[],[f1560]) ).
fof(f1597,plain,
( null_class = sF1
| ~ spl6_30 ),
inference(resolution,[],[f1317,f68]) ).
fof(f1613,plain,
( $false
| spl6_1
| ~ spl6_30 ),
inference(forward_subsumption_resolution,[],[f1597,f212]) ).
fof(f1614,plain,
( spl6_1
| ~ spl6_30 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1621,plain,
( sF3 = flip(sF0)
| ~ spl6_1 ),
inference(superposition,[],[f198,f243]) ).
fof(f1629,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),sF0) )
| ~ spl6_1 ),
inference(superposition,[],[f148,f1621]) ).
fof(f1631,plain,
( ! [X2,X0,X1] : ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF3)
| ~ spl6_1
| ~ spl6_23 ),
inference(forward_subsumption_resolution,[],[f1629,f1033]) ).
fof(f2443,plain,
( ! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| flip(X0) = sF0 )
| ~ spl6_23 ),
inference(resolution,[],[f1187,f36]) ).
fof(f2460,plain,
( ! [X0] :
( first(regular(flip(X0))) = unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0)))))))
| flip(X0) = sF0 )
| ~ spl6_23 ),
inference(resolution,[],[f2443,f140]) ).
fof(f3710,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),sF3)
| flip(X0) = sF0 )
| ~ spl6_1
| ~ spl6_23 ),
inference(superposition,[],[f1631,f2460]) ).
fof(f3803,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),sF3)
| flip(X0) = sF0
| null_class = flip(X0) )
| ~ spl6_1
| ~ spl6_23 ),
inference(superposition,[],[f3710,f963]) ).
fof(f3804,plain,
( ! [X0] :
( flip(X0) = sF0
| ~ member(regular(flip(X0)),sF3)
| flip(X0) = sF0 )
| ~ spl6_1
| ~ spl6_23 ),
inference(forward_demodulation,[],[f3803,f842]) ).
fof(f3805,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),sF3)
| flip(X0) = sF0 )
| ~ spl6_1
| ~ spl6_23 ),
inference(duplicate_literal_removal,[],[f3804]) ).
fof(f3810,plain,
( ~ member(regular(sF3),sF3)
| sF0 = sF3
| ~ spl6_1
| ~ spl6_23 ),
inference(superposition,[],[f3805,f1621]) ).
fof(f3811,plain,
( ~ member(regular(sF3),sF3)
| ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f3810,f976]) ).
fof(f4175,plain,
( ~ subclass(sF3,sF3)
| null_class = sF3
| ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(resolution,[],[f3811,f230]) ).
fof(f4176,plain,
( null_class = sF3
| ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f4175,f188]) ).
fof(f4178,plain,
( sF0 = sF3
| ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(forward_demodulation,[],[f4176,f842]) ).
fof(f4181,plain,
( $false
| ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f4178,f976]) ).
fof(f4182,plain,
( ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(avatar_contradiction_clause,[],[f4181]) ).
cnf(s16,plain,
spl6_23,
inference(sat_conversion,[],[f1024]) ).
cnf(s18,plain,
( ~ spl6_23
| ~ spl6_26 ),
inference(sat_conversion,[],[f1196]) ).
cnf(s19,plain,
( ~ spl6_23
| spl6_29
| spl6_30 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s21,plain,
( ~ spl6_23
| ~ spl6_29 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s22,plain,
( spl6_1
| ~ spl6_30 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s45,plain,
( ~ spl6_1
| ~ spl6_23
| spl6_26 ),
inference(sat_conversion,[],[f4182]) ).
cnf(s48,plain,
~ spl6_29,
inference(rat,[],[s21,s16]) ).
cnf(s49,plain,
~ spl6_26,
inference(rat,[],[s18,s16]) ).
cnf(s50,plain,
spl6_30,
inference(rat,[],[s19,s16,s48]) ).
cnf(s52,plain,
~ spl6_1,
inference(rat,[],[s45,s16,s49]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s22,s50,s52]) ).
fof(f4183,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET336-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:28:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 6.21/2.31 % (3508087)Input is clausal, will run a generic CNF schedule.
% 6.21/2.31 % (3508097)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=61060646:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.21/2.31 % (3508094)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3770864709:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.21/2.31 % (3508092)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=407950856:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.21/2.31 % (3508095)lrs+10_1_sil=8000:sp=occurrence:random_seed=3838799606:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.21/2.31 % (3508093)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=29343171:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.21/2.31 % (3508096)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1569999051:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.21/2.31 % (3508098)dis-21_1_sil=8000:lcm=predicate:random_seed=3390555437: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)
% 6.21/2.31 % (3508097)Instruction limit reached!
% 6.21/2.31 % (3508097)------------------------------
% 6.21/2.31 % (3508097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508097)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508097)Termination reason: Instruction limit
% 6.21/2.31 % (3508097)Termination phase: Saturation
% 6.21/2.31 % (3508097)Time elapsed: 0.074 s
% 6.21/2.31 % (3508097)Peak memory usage: 90 MB
% 6.21/2.31 % (3508097)Instructions burned: 183 (million)
% 6.21/2.31 % (3508095)Instruction limit reached!
% 6.21/2.31 % (3508095)------------------------------
% 6.21/2.31 % (3508095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508095)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508095)Termination reason: Instruction limit
% 6.21/2.31 % (3508095)Termination phase: Saturation
% 6.21/2.31 % (3508095)Time elapsed: 0.040 s
% 6.21/2.31 % (3508095)Peak memory usage: 88 MB
% 6.21/2.31 % (3508095)Instructions burned: 110 (million)
% 6.21/2.31 % (3508096)Instruction limit reached!
% 6.21/2.31 % (3508096)------------------------------
% 6.21/2.31 % (3508096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508096)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508096)Termination reason: Instruction limit
% 6.21/2.31 % (3508096)Termination phase: Saturation
% 6.21/2.31 % (3508096)Time elapsed: 0.069 s
% 6.21/2.31 % (3508096)Peak memory usage: 89 MB
% 6.21/2.31 % (3508096)Instructions burned: 114 (million)
% 6.21/2.31 % (3508098)Instruction limit reached!
% 6.21/2.31 % (3508098)------------------------------
% 6.21/2.31 % (3508098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508098)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508098)Termination reason: Instruction limit
% 6.21/2.31 % (3508098)Termination phase: Saturation
% 6.21/2.31 % (3508098)Time elapsed: 0.068 s
% 6.21/2.31 % (3508098)Peak memory usage: 89 MB
% 6.21/2.31 % (3508098)Instructions burned: 119 (million)
% 6.21/2.31 % (3508106)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=707691468:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.21/2.31 % (3508106)Refutation not found, incomplete strategy
% 6.21/2.31 % (3508106)------------------------------
% 6.21/2.31 % (3508106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508106)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508106)Termination reason: Refutation not found, incomplete strategy
% 6.21/2.31 % (3508106)Time elapsed: 0.002 s
% 6.21/2.31 % (3508106)Peak memory usage: 88 MB
% 6.21/2.31 % (3508106)Instructions burned: 4 (million)
% 6.21/2.31 % (3508107)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=376352860: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)
% 6.21/2.31 % (3508108)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3176233789:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.21/2.31 % (3508108)Refutation not found, incomplete strategy
% 6.21/2.31 % (3508108)------------------------------
% 6.21/2.31 % (3508108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508108)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508108)Termination reason: Refutation not found, incomplete strategy
% 6.21/2.31 % (3508108)Time elapsed: 0.003 s
% 6.21/2.31 % (3508108)Peak memory usage: 88 MB
% 6.21/2.31 % (3508108)Instructions burned: 3 (million)
% 6.21/2.31 % (3508109)lrs+10_64_to=lpo:sil=8000:random_seed=1120421425:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.21/2.31 % (3508106)------------------------------
% 6.21/2.31 % (3508106)------------------------------
% 6.21/2.31 % (3508107)Instruction limit reached!
% 6.21/2.31 % (3508107)------------------------------
% 6.21/2.31 % (3508107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508107)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508107)Termination reason: Instruction limit
% 6.21/2.31 % (3508107)Termination phase: Saturation
% 6.21/2.31 % (3508107)Time elapsed: 0.110 s
% 6.21/2.31 % (3508107)Peak memory usage: 91 MB
% 6.21/2.31 % (3508107)Instructions burned: 190 (million)
% 6.21/2.31 % (3508109)Instruction limit reached!
% 6.21/2.31 % (3508109)------------------------------
% 6.21/2.31 % (3508109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508109)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508109)Termination reason: Instruction limit
% 6.21/2.31 % (3508109)Termination phase: Saturation
% 6.21/2.31 % (3508109)Time elapsed: 0.081 s
% 6.21/2.31 % (3508109)Peak memory usage: 89 MB
% 6.21/2.31 % (3508109)Instructions burned: 126 (million)
% 6.21/2.31 % (3508114)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3171448356:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.21/2.31 % (3508114)Instruction limit reached!
% 6.21/2.31 % (3508114)------------------------------
% 6.21/2.31 % (3508114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508114)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508114)Termination reason: Instruction limit
% 6.21/2.31 % (3508114)Termination phase: Saturation
% 6.21/2.31 % (3508114)Time elapsed: 0.063 s
% 6.21/2.31 % (3508114)Peak memory usage: 89 MB
% 6.21/2.31 % (3508114)Instructions burned: 195 (million)
% 6.21/2.31 % (3508115)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1872750535:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.21/2.31 % (3508116)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=340823763:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.21/2.31 % (3508108)------------------------------
% 6.21/2.31 % (3508108)------------------------------
% 6.21/2.31 % (3508115)Instruction limit reached!
% 6.21/2.31 % (3508115)------------------------------
% 6.21/2.31 % (3508115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508115)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508115)Termination reason: Instruction limit
% 6.21/2.31 % (3508115)Termination phase: Saturation
% 6.21/2.31 % (3508115)Time elapsed: 0.109 s
% 6.21/2.31 % (3508115)Peak memory usage: 91 MB
% 6.21/2.31 % (3508115)Instructions burned: 157 (million)
% 6.21/2.31 % (3508118)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=982404040:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.21/2.31 % (3508118)Instruction limit reached!
% 6.21/2.31 % (3508118)------------------------------
% 6.21/2.31 % (3508118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508118)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508118)Termination reason: Instruction limit
% 6.21/2.31 % (3508118)Termination phase: Saturation
% 6.21/2.31 % (3508118)Time elapsed: 0.036 s
% 6.21/2.31 % (3508118)Peak memory usage: 89 MB
% 6.21/2.31 % (3508118)Instructions burned: 106 (million)
% 6.21/2.31 % (3508121)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3865063012:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.21/2.31 % (3508121)Refutation not found, incomplete strategy
% 6.21/2.31 % (3508121)------------------------------
% 6.21/2.31 % (3508121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508121)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508121)Termination reason: Refutation not found, incomplete strategy
% 6.21/2.31 % (3508121)Time elapsed: 0.005 s
% 6.21/2.31 % (3508121)Peak memory usage: 88 MB
% 6.21/2.31 % (3508121)Instructions burned: 8 (million)
% 6.21/2.31 % (3508124)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2202368999:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.21/2.31 % (3508123)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=853794904:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.21/2.31 % (3508121)------------------------------
% 6.21/2.31 % (3508121)------------------------------
% 6.21/2.31 % (3508123)Instruction limit reached!
% 6.21/2.31 % (3508123)------------------------------
% 6.21/2.31 % (3508123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508123)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508123)Termination reason: Instruction limit
% 6.21/2.31 % (3508123)Termination phase: Saturation
% 6.21/2.31 % (3508123)Time elapsed: 0.160 s
% 6.21/2.31 % (3508123)Peak memory usage: 90 MB
% 6.21/2.31 % (3508123)Instructions burned: 242 (million)
% 6.21/2.31 % (3508092)First to succeed.
% 6.21/2.31 % (3508092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3508087"
% 6.21/2.31 % (3508129)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1578579896:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 6.21/2.31 % (3508128)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2727336075:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 6.21/2.31 % (3508128)Instruction limit reached!
% 6.21/2.31 % (3508128)------------------------------
% 6.21/2.31 % (3508128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.31 % (3508128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.31 % (3508128)CaDiCaL version: 2.1.3
% 6.21/2.31 % (3508128)Termination reason: Instruction limit
% 6.21/2.31 % (3508128)Termination phase: Saturation
% 6.21/2.31 % (3508128)Time elapsed: 0.097 s
% 6.21/2.31 % (3508128)Peak memory usage: 90 MB
% 6.21/2.31 % (3508128)Instructions burned: 134 (million)
% 6.21/2.31 % (3508116)Also succeeded, but the first one will report.
% 6.21/2.31 % (3508124)Also succeeded, but the first one will report.
% 6.21/2.31 % (3508092)Refutation found. Thanks to Tanya!
% 6.21/2.31 % SZS status Unsatisfiable for theBenchmark
% 6.21/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.51 % (3508092)------------------------------
% 0.15/2.51 % (3508092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.51 % (3508092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.51 % (3508092)CaDiCaL version: 2.1.3
% 0.15/2.51 % (3508092)Termination reason: Refutation
% 0.15/2.51 % (3508092)Time elapsed: 1.032 s
% 0.15/2.51 % (3508092)Peak memory usage: 133 MB
% 0.15/2.51 % (3508092)Instructions burned: 1544 (million)
% 0.15/2.51 % (3508092)------------------------------
% 0.15/2.51 % (3508092)------------------------------
% 0.15/2.51 % (3508087)Success in time 1.461 s
% 0.15/2.51 % Vampire exiting
%------------------------------------------------------------------------------