%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM133-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:11:48 PM UTC 2026
% Result : Unsatisfiable 10.01s 2.38s
% Output : Refutation 11.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 57
% Syntax : Number of formulae : 263 ( 70 unt; 33 def)
% Number of atoms : 543 ( 82 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 520 ( 240 ~; 257 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 24 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 124 ( 0 sgn 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f44,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f176,negated_conjecture,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_union_of_successor_ordinal_1) ).
fof(f177,negated_conjecture,
member(y,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_union_of_successor_ordinal_2) ).
fof(f178,negated_conjecture,
successor(x) = successor(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_union_of_successor_ordinal_3) ).
fof(f179,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_union_of_successor_ordinal_4) ).
fof(f185,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f44,f26,f12]) ).
fof(f204,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(f270,plain,
complement(intersection(complement(x),complement(unordered_pair(x,x)))) = complement(intersection(complement(y),complement(unordered_pair(y,y)))),
inference(definition_unfolding,[],[f178,f185,f185]) ).
fof(f277,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f278,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f277]) ).
fof(f279,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f280,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f279]) ).
fof(f281,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f282,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f281]) ).
fof(f283,definition,
sF3 = intersection(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f284,plain,
intersection(sF0,sF2) = sF3,
inference(reorient_equations,[],[f283]) ).
fof(f285,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f286,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f285]) ).
fof(f287,definition,
sF5 = complement(y),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f288,plain,
complement(y) = sF5,
inference(reorient_equations,[],[f287]) ).
fof(f289,definition,
sF6 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f290,plain,
unordered_pair(y,y) = sF6,
inference(reorient_equations,[],[f289]) ).
fof(f291,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f292,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f291]) ).
fof(f293,definition,
sF8 = intersection(sF5,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f294,plain,
intersection(sF5,sF7) = sF8,
inference(reorient_equations,[],[f293]) ).
fof(f295,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f296,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f295]) ).
fof(f297,plain,
sF4 = sF9,
inference(definition_folding,[],[f270,f296,f294,f292,f290,f288,f286,f284,f282,f280,f278]) ).
fof(f298,plain,
sF4 = complement(sF8),
inference(forward_demodulation,[],[f296,f297]) ).
fof(f299,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,sF4) ),
inference(superposition,[],[f24,f298]) ).
fof(f302,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sF3) ),
inference(superposition,[],[f24,f286]) ).
fof(f303,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f282]) ).
fof(f304,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f24,f292]) ).
fof(f307,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f22,f284]) ).
fof(f308,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f22,f294]) ).
fof(f309,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f280]) ).
fof(f310,plain,
! [X0] :
( ~ member(X0,sF6)
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f290]) ).
fof(f311,plain,
! [X0] :
( ~ member(X0,sF6)
| y = X0 ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f312,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f315,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f280]) ).
fof(f316,plain,
( member(y,sF6)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f290]) ).
fof(f318,definition,
( spl10_1
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f319,plain,
( member(y,universal_class)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( ~ member(y,universal_class)
| spl10_1 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f322,definition,
( spl10_2
<=> member(y,sF6) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f324,plain,
( member(y,sF6)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f316,f322,f318]) ).
fof(f327,definition,
( spl10_3
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f328,plain,
( member(x,universal_class)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( ~ member(x,universal_class)
| spl10_3 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl10_4
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f333,plain,
( member(x,sF1)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f315,f331,f327]) ).
fof(f337,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF3)
| ~ member(X0,sF0) ),
inference(superposition,[],[f23,f284]) ).
fof(f338,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF8)
| ~ member(X0,sF5) ),
inference(superposition,[],[f23,f294]) ).
fof(f343,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF0)
| member(X0,x) ),
inference(superposition,[],[f25,f278]) ).
fof(f344,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF5)
| member(X0,y) ),
inference(superposition,[],[f25,f288]) ).
fof(f345,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f25,f282]) ).
fof(f346,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF4)
| member(X0,sF3) ),
inference(superposition,[],[f25,f286]) ).
fof(f347,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF7)
| member(X0,sF6) ),
inference(superposition,[],[f25,f292]) ).
fof(f348,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF4)
| member(X0,sF8) ),
inference(superposition,[],[f25,f298]) ).
fof(f353,plain,
! [X0] :
( ~ subclass(ordinal_numbers,X0)
| member(x,X0) ),
inference(resolution,[],[f1,f176]) ).
fof(f354,plain,
! [X0] :
( ~ subclass(ordinal_numbers,X0)
| member(y,X0) ),
inference(resolution,[],[f1,f177]) ).
fof(f355,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f358,plain,
member(x,universal_class),
inference(resolution,[],[f353,f4]) ).
fof(f359,plain,
( $false
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f358,f329]) ).
fof(f360,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f363,plain,
member(y,universal_class),
inference(resolution,[],[f354,f4]) ).
fof(f364,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f363,f320]) ).
fof(f365,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f390,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f68,f8]) ).
fof(f619,plain,
( member(x,sF4)
| member(x,sF3)
| ~ spl10_3 ),
inference(resolution,[],[f328,f346]) ).
fof(f620,plain,
( member(x,sF7)
| member(x,sF6)
| ~ spl10_3 ),
inference(resolution,[],[f328,f347]) ).
fof(f623,plain,
( member(x,sF5)
| member(x,y)
| ~ spl10_3 ),
inference(resolution,[],[f328,f344]) ).
fof(f637,definition,
( spl10_48
<=> member(x,y) ),
introduced(definition,[new_symbols(definition,[spl10_48])],[avatar_definition]) ).
fof(f639,plain,
( member(x,y)
| ~ spl10_48 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl10_49
<=> member(x,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_49])],[avatar_definition]) ).
fof(f643,plain,
( member(x,sF5)
| ~ spl10_49 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( spl10_48
| spl10_49
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f623,f327,f641,f637]) ).
fof(f647,definition,
( spl10_50
<=> member(x,sF6) ),
introduced(definition,[new_symbols(definition,[spl10_50])],[avatar_definition]) ).
fof(f649,plain,
( member(x,sF6)
| ~ spl10_50 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f651,definition,
( spl10_51
<=> member(x,sF7) ),
introduced(definition,[new_symbols(definition,[spl10_51])],[avatar_definition]) ).
fof(f653,plain,
( member(x,sF7)
| ~ spl10_51 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f654,plain,
( spl10_50
| spl10_51
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f620,f327,f651,f647]) ).
fof(f657,definition,
( spl10_52
<=> member(x,sF4) ),
introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).
fof(f658,plain,
( ~ member(x,sF4)
| spl10_52 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( member(x,sF4)
| ~ spl10_52 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f670,plain,
( x = y
| ~ spl10_50 ),
inference(resolution,[],[f649,f311]) ).
fof(f673,plain,
( $false
| ~ spl10_50 ),
inference(forward_subsumption_resolution,[],[f670,f179]) ).
fof(f674,plain,
~ spl10_50,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f675,plain,
( member(x,sF8)
| ~ member(x,sF5)
| ~ spl10_51 ),
inference(resolution,[],[f653,f338]) ).
fof(f735,plain,
( member(y,sF2)
| member(y,sF1)
| ~ spl10_1 ),
inference(resolution,[],[f319,f345]) ).
fof(f736,plain,
( member(y,sF4)
| member(y,sF8)
| ~ spl10_1 ),
inference(resolution,[],[f319,f348]) ).
fof(f738,plain,
( member(y,sF0)
| member(y,x)
| ~ spl10_1 ),
inference(resolution,[],[f319,f343]) ).
fof(f742,definition,
( spl10_54
<=> member(y,x) ),
introduced(definition,[new_symbols(definition,[spl10_54])],[avatar_definition]) ).
fof(f744,plain,
( member(y,x)
| ~ spl10_54 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f746,definition,
( spl10_55
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl10_55])],[avatar_definition]) ).
fof(f748,plain,
( member(y,sF0)
| ~ spl10_55 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f749,plain,
( spl10_54
| spl10_55
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f738,f318,f746,f742]) ).
fof(f761,definition,
( spl10_58
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).
fof(f763,plain,
( member(y,sF1)
| ~ spl10_58 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f765,definition,
( spl10_59
<=> member(y,sF2) ),
introduced(definition,[new_symbols(definition,[spl10_59])],[avatar_definition]) ).
fof(f767,plain,
( member(y,sF2)
| ~ spl10_59 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f768,plain,
( spl10_58
| spl10_59
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f735,f318,f765,f761]) ).
fof(f771,definition,
( spl10_60
<=> member(y,sF4) ),
introduced(definition,[new_symbols(definition,[spl10_60])],[avatar_definition]) ).
fof(f772,plain,
( ~ member(y,sF4)
| spl10_60 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f773,plain,
( member(y,sF4)
| ~ spl10_60 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f784,plain,
( x = y
| ~ spl10_58 ),
inference(resolution,[],[f763,f312]) ).
fof(f787,plain,
( $false
| ~ spl10_58 ),
inference(forward_subsumption_resolution,[],[f784,f179]) ).
fof(f788,plain,
~ spl10_58,
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f789,plain,
( member(y,sF3)
| ~ member(y,sF0)
| ~ spl10_59 ),
inference(resolution,[],[f767,f337]) ).
fof(f795,plain,
( ~ member(y,sF3)
| ~ spl10_60 ),
inference(resolution,[],[f773,f302]) ).
fof(f895,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f904,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f938,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f904,f3]) ).
fof(f971,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f938]) ).
fof(f995,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f971,f70]) ).
fof(f998,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f995,f7]) ).
fof(f999,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f998]) ).
fof(f1117,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f999,f971]) ).
fof(f1143,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f204,f1117]) ).
fof(f1144,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f1143]) ).
fof(f1146,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f1144,f68]) ).
fof(f1152,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f1144,f1146]) ).
fof(f1154,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| subclass(X0,intersection(X2,X1))
| subclass(X0,intersection(X2,X1))
| ~ member(not_subclass_element(X0,intersection(X2,X1)),X2) ),
inference(resolution,[],[f895,f380]) ).
fof(f1183,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X2,X1)),X2)
| subclass(X0,intersection(X2,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f1154]) ).
fof(f1507,definition,
( spl10_69
<=> member(x,sF2) ),
introduced(definition,[new_symbols(definition,[spl10_69])],[avatar_definition]) ).
fof(f1508,plain,
( ~ member(x,sF2)
| spl10_69 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1509,plain,
( member(x,sF2)
| ~ spl10_69 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1516,plain,
( ~ member(x,sF1)
| ~ spl10_69 ),
inference(resolution,[],[f1509,f303]) ).
fof(f1519,plain,
( $false
| ~ spl10_4
| ~ spl10_69 ),
inference(forward_subsumption_resolution,[],[f1516,f333]) ).
fof(f1520,plain,
( ~ spl10_4
| ~ spl10_69 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1529,definition,
( spl10_71
<=> member(y,sF7) ),
introduced(definition,[new_symbols(definition,[spl10_71])],[avatar_definition]) ).
fof(f1530,plain,
( ~ member(y,sF7)
| spl10_71 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1531,plain,
( member(y,sF7)
| ~ spl10_71 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1538,plain,
( ~ member(y,sF6)
| ~ spl10_71 ),
inference(resolution,[],[f1531,f304]) ).
fof(f1541,plain,
( $false
| ~ spl10_2
| ~ spl10_71 ),
inference(forward_subsumption_resolution,[],[f1538,f324]) ).
fof(f1542,plain,
( ~ spl10_2
| ~ spl10_71 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1913,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f1183,f2]) ).
fof(f1941,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f1913]) ).
fof(f1944,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f1941,f7]) ).
fof(f1998,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f1944,f971]) ).
fof(f2008,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f1998,f4]) ).
fof(f2022,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f2008]) ).
fof(f2933,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2
| null_class = unordered_pair(X2,X0) ),
inference(superposition,[],[f355,f390]) ).
fof(f2936,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f2933]) ).
fof(f2938,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| ~ member(X1,X0)
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(forward_subsumption_resolution,[],[f2936,f1152]) ).
fof(f3749,plain,
! [X0,X1] :
( ~ member(X0,X1)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| ~ member(X0,universal_class) ),
inference(resolution,[],[f2938,f9]) ).
fof(f3768,plain,
! [X0,X1] :
( ~ member(X0,X1)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0 ),
inference(forward_subsumption_resolution,[],[f3749,f2022]) ).
fof(f3821,plain,
( null_class = unordered_pair(y,x)
| y = regular(unordered_pair(y,x))
| ~ spl10_54 ),
inference(resolution,[],[f3768,f744]) ).
fof(f3978,definition,
( spl10_166
<=> y = regular(unordered_pair(y,x)) ),
introduced(definition,[new_symbols(definition,[spl10_166])],[avatar_definition]) ).
fof(f3980,plain,
( y = regular(unordered_pair(y,x))
| ~ spl10_166 ),
inference(avatar_component_clause,[],[f3978]) ).
fof(f3982,definition,
( spl10_167
<=> null_class = unordered_pair(y,x) ),
introduced(definition,[new_symbols(definition,[spl10_167])],[avatar_definition]) ).
fof(f3984,plain,
( null_class = unordered_pair(y,x)
| ~ spl10_167 ),
inference(avatar_component_clause,[],[f3982]) ).
fof(f3985,plain,
( spl10_166
| spl10_167
| ~ spl10_54 ),
inference(avatar_split_clause,[],[f3821,f742,f3982,f3978]) ).
fof(f4115,plain,
( member(y,sF8)
| ~ spl10_1
| spl10_60 ),
inference(forward_subsumption_resolution,[],[f736,f772]) ).
fof(f4128,definition,
( spl10_193
<=> member(y,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_193])],[avatar_definition]) ).
fof(f4130,plain,
( member(y,sF8)
| ~ spl10_193 ),
inference(avatar_component_clause,[],[f4128]) ).
fof(f4132,definition,
( spl10_194
<=> member(y,sF3) ),
introduced(definition,[new_symbols(definition,[spl10_194])],[avatar_definition]) ).
fof(f4141,plain,
( member(y,sF3)
| ~ spl10_55
| ~ spl10_59 ),
inference(forward_subsumption_resolution,[],[f789,f748]) ).
fof(f4149,plain,
( member(x,sF3)
| ~ spl10_3
| spl10_52 ),
inference(forward_subsumption_resolution,[],[f619,f658]) ).
fof(f4159,definition,
( spl10_197
<=> member(x,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_197])],[avatar_definition]) ).
fof(f4161,plain,
( member(x,sF8)
| ~ spl10_197 ),
inference(avatar_component_clause,[],[f4159]) ).
fof(f4163,definition,
( spl10_198
<=> member(x,sF3) ),
introduced(definition,[new_symbols(definition,[spl10_198])],[avatar_definition]) ).
fof(f4164,plain,
( member(x,sF3)
| ~ spl10_198 ),
inference(avatar_component_clause,[],[f4163]) ).
fof(f4177,plain,
( member(x,sF8)
| ~ spl10_49
| ~ spl10_51 ),
inference(forward_subsumption_resolution,[],[f675,f643]) ).
fof(f4197,plain,
( spl10_193
| ~ spl10_1
| spl10_60 ),
inference(avatar_split_clause,[],[f4115,f771,f318,f4128]) ).
fof(f4212,plain,
( spl10_194
| ~ spl10_55
| ~ spl10_59 ),
inference(avatar_split_clause,[],[f4141,f765,f746,f4132]) ).
fof(f4220,plain,
( spl10_198
| ~ spl10_3
| spl10_52 ),
inference(avatar_split_clause,[],[f4149,f657,f327,f4163]) ).
fof(f4232,plain,
( spl10_197
| ~ spl10_49
| ~ spl10_51 ),
inference(avatar_split_clause,[],[f4177,f651,f641,f4159]) ).
fof(f4265,plain,
( ~ spl10_194
| ~ spl10_60 ),
inference(avatar_split_clause,[],[f795,f771,f4132]) ).
fof(f4295,plain,
( ~ member(x,sF4)
| ~ spl10_197 ),
inference(resolution,[],[f4161,f299]) ).
fof(f4331,plain,
( member(x,sF2)
| ~ spl10_198 ),
inference(resolution,[],[f4164,f307]) ).
fof(f4347,plain,
( $false
| spl10_69
| ~ spl10_198 ),
inference(forward_subsumption_resolution,[],[f4331,f1508]) ).
fof(f4348,plain,
( spl10_69
| ~ spl10_198 ),
inference(avatar_contradiction_clause,[],[f4347]) ).
fof(f4349,plain,
( $false
| ~ spl10_52
| ~ spl10_197 ),
inference(forward_subsumption_resolution,[],[f4295,f659]) ).
fof(f4350,plain,
( ~ spl10_52
| ~ spl10_197 ),
inference(avatar_contradiction_clause,[],[f4349]) ).
fof(f4378,plain,
( member(y,sF7)
| ~ spl10_193 ),
inference(resolution,[],[f4130,f308]) ).
fof(f4395,plain,
( $false
| spl10_71
| ~ spl10_193 ),
inference(forward_subsumption_resolution,[],[f4378,f1530]) ).
fof(f4396,plain,
( spl10_71
| ~ spl10_193 ),
inference(avatar_contradiction_clause,[],[f4395]) ).
fof(f4569,plain,
( ! [X0] :
( ~ member(X0,y)
| member(X0,null_class)
| ~ member(X0,unordered_pair(y,x))
| null_class = unordered_pair(y,x) )
| ~ spl10_166 ),
inference(superposition,[],[f355,f3980]) ).
fof(f4587,plain,
( ! [X0] :
( ~ member(X0,y)
| ~ member(X0,unordered_pair(y,x))
| null_class = unordered_pair(y,x) )
| ~ spl10_166 ),
inference(forward_subsumption_resolution,[],[f4569,f1152]) ).
fof(f4589,definition,
( spl10_231
<=> ! [X0] :
( ~ member(X0,y)
| ~ member(X0,unordered_pair(y,x)) ) ),
introduced(definition,[new_symbols(definition,[spl10_231])],[avatar_definition]) ).
fof(f4590,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(y,x))
| ~ member(X0,y) )
| ~ spl10_231 ),
inference(avatar_component_clause,[],[f4589]) ).
fof(f4591,plain,
( spl10_167
| spl10_231
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f4587,f3978,f4589,f3982]) ).
fof(f4611,plain,
( ~ member(x,y)
| ~ member(x,universal_class)
| ~ spl10_231 ),
inference(resolution,[],[f4590,f10]) ).
fof(f4625,plain,
( ~ member(x,y)
| ~ spl10_231 ),
inference(forward_subsumption_resolution,[],[f4611,f2022]) ).
fof(f4627,plain,
( $false
| ~ spl10_48
| ~ spl10_231 ),
inference(forward_subsumption_resolution,[],[f4625,f639]) ).
fof(f4628,plain,
( ~ spl10_48
| ~ spl10_231 ),
inference(avatar_contradiction_clause,[],[f4627]) ).
fof(f4632,plain,
( member(y,null_class)
| ~ member(y,universal_class)
| ~ spl10_167 ),
inference(superposition,[],[f9,f3984]) ).
fof(f4636,plain,
( ~ member(y,universal_class)
| ~ spl10_167 ),
inference(forward_subsumption_resolution,[],[f4632,f1152]) ).
fof(f4641,plain,
( $false
| ~ spl10_1
| ~ spl10_167 ),
inference(forward_subsumption_resolution,[],[f4636,f319]) ).
fof(f4642,plain,
( ~ spl10_1
| ~ spl10_167 ),
inference(avatar_contradiction_clause,[],[f4641]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f325]) ).
cnf(s2,plain,
( ~ spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f334]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f360]) ).
cnf(s4,plain,
spl10_1,
inference(sat_conversion,[],[f365]) ).
cnf(s30,plain,
( ~ spl10_3
| spl10_48
| spl10_49 ),
inference(sat_conversion,[],[f644]) ).
cnf(s31,plain,
( ~ spl10_3
| spl10_50
| spl10_51 ),
inference(sat_conversion,[],[f654]) ).
cnf(s34,plain,
~ spl10_50,
inference(sat_conversion,[],[f674]) ).
cnf(s41,plain,
( ~ spl10_1
| spl10_54
| spl10_55 ),
inference(sat_conversion,[],[f749]) ).
cnf(s43,plain,
( ~ spl10_1
| spl10_58
| spl10_59 ),
inference(sat_conversion,[],[f768]) ).
cnf(s46,plain,
~ spl10_58,
inference(sat_conversion,[],[f788]) ).
cnf(s57,plain,
( ~ spl10_4
| ~ spl10_69 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s60,plain,
( ~ spl10_2
| ~ spl10_71 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s132,plain,
( ~ spl10_54
| spl10_166
| spl10_167 ),
inference(sat_conversion,[],[f3985]) ).
cnf(s163,plain,
( ~ spl10_1
| spl10_60
| spl10_193 ),
inference(sat_conversion,[],[f4197]) ).
cnf(s170,plain,
( ~ spl10_55
| ~ spl10_59
| spl10_194 ),
inference(sat_conversion,[],[f4212]) ).
cnf(s172,plain,
( ~ spl10_3
| spl10_52
| spl10_198 ),
inference(sat_conversion,[],[f4220]) ).
cnf(s178,plain,
( ~ spl10_49
| ~ spl10_51
| spl10_197 ),
inference(sat_conversion,[],[f4232]) ).
cnf(s199,plain,
( ~ spl10_60
| ~ spl10_194 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s211,plain,
( spl10_69
| ~ spl10_198 ),
inference(sat_conversion,[],[f4348]) ).
cnf(s214,plain,
( ~ spl10_52
| ~ spl10_197 ),
inference(sat_conversion,[],[f4350]) ).
cnf(s219,plain,
( spl10_71
| ~ spl10_193 ),
inference(sat_conversion,[],[f4396]) ).
cnf(s236,plain,
( ~ spl10_166
| spl10_167
| spl10_231 ),
inference(sat_conversion,[],[f4591]) ).
cnf(s238,plain,
( ~ spl10_48
| ~ spl10_231 ),
inference(sat_conversion,[],[f4628]) ).
cnf(s241,plain,
( ~ spl10_1
| ~ spl10_167 ),
inference(sat_conversion,[],[f4642]) ).
cnf(s242,plain,
( ~ spl10_1
| spl10_59 ),
inference(rat,[],[s43,s46]) ).
cnf(s243,plain,
( ~ spl10_3
| spl10_51 ),
inference(rat,[],[s31,s34]) ).
cnf(s244,plain,
~ spl10_167,
inference(rat,[],[s241,s4]) ).
cnf(s245,plain,
spl10_59,
inference(rat,[],[s242,s4]) ).
cnf(s248,plain,
spl10_51,
inference(rat,[],[s243,s3]) ).
cnf(s249,plain,
spl10_4,
inference(rat,[],[s2,s3]) ).
cnf(s250,plain,
~ spl10_69,
inference(rat,[],[s57,s249]) ).
cnf(s251,plain,
~ spl10_198,
inference(rat,[],[s211,s250]) ).
cnf(s253,plain,
spl10_52,
inference(rat,[],[s172,s3,s251]) ).
cnf(s254,plain,
~ spl10_197,
inference(rat,[],[s214,s253]) ).
cnf(s257,plain,
~ spl10_49,
inference(rat,[],[s178,s248,s254]) ).
cnf(s258,plain,
spl10_48,
inference(rat,[],[s30,s3,s257]) ).
cnf(s259,plain,
~ spl10_231,
inference(rat,[],[s238,s258]) ).
cnf(s260,plain,
~ spl10_166,
inference(rat,[],[s236,s244,s259]) ).
cnf(s261,plain,
~ spl10_54,
inference(rat,[],[s132,s244,s260]) ).
cnf(s262,plain,
spl10_55,
inference(rat,[],[s41,s4,s261]) ).
cnf(s263,plain,
spl10_194,
inference(rat,[],[s170,s245,s262]) ).
cnf(s264,plain,
~ spl10_60,
inference(rat,[],[s199,s263]) ).
cnf(s265,plain,
spl10_193,
inference(rat,[],[s163,s4,s264]) ).
cnf(s266,plain,
spl10_71,
inference(rat,[],[s219,s265]) ).
cnf(s267,plain,
~ spl10_2,
inference(rat,[],[s60,s266]) ).
cnf(s268,plain,
$false,
inference(rat,[],[s1,s267,s4]) ).
fof(f4643,plain,
$false,
inference(avatar_sat_refutation,[],[s268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM133-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 18:56:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.01/2.38 % (1713845)Input is clausal, will run a generic CNF schedule.
% 10.01/2.38 % (1713851)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3444572528:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.01/2.38 % (1713853)lrs+10_1_sil=8000:sp=occurrence:random_seed=2678096103:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.01/2.38 % (1713850)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=1123713040:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.01/2.38 % (1713854)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1108155625:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.01/2.38 % (1713855)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4111702458:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.01/2.38 % (1713852)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3565468309:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.01/2.38 % (1713856)dis-21_1_sil=8000:lcm=predicate:random_seed=95639745: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)
% 10.01/2.38 % (1713856)Instruction limit reached!
% 10.01/2.38 % (1713856)------------------------------
% 10.01/2.38 % (1713856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713856)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713856)Termination reason: Instruction limit
% 10.01/2.38 % (1713856)Termination phase: Saturation
% 10.01/2.38 % (1713856)Time elapsed: 0.066 s
% 10.01/2.38 % (1713856)Peak memory usage: 89 MB
% 10.01/2.38 % (1713856)Instructions burned: 118 (million)
% 10.01/2.38 % (1713853)Instruction limit reached!
% 10.01/2.38 % (1713853)------------------------------
% 10.01/2.38 % (1713853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713853)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713853)Termination reason: Instruction limit
% 10.01/2.38 % (1713853)Termination phase: Saturation
% 10.01/2.38 % (1713853)Time elapsed: 0.070 s
% 10.01/2.38 % (1713853)Peak memory usage: 90 MB
% 10.01/2.38 % (1713853)Instructions burned: 107 (million)
% 10.01/2.38 % (1713854)Instruction limit reached!
% 10.01/2.38 % (1713854)------------------------------
% 10.01/2.38 % (1713854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713854)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713854)Termination reason: Instruction limit
% 10.01/2.38 % (1713854)Termination phase: Saturation
% 10.01/2.38 % (1713854)Time elapsed: 0.073 s
% 10.01/2.38 % (1713854)Peak memory usage: 89 MB
% 10.01/2.38 % (1713854)Instructions burned: 115 (million)
% 10.01/2.38 % (1713855)Instruction limit reached!
% 10.01/2.38 % (1713855)------------------------------
% 10.01/2.38 % (1713855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713855)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713855)Termination reason: Instruction limit
% 10.01/2.38 % (1713855)Termination phase: Saturation
% 10.01/2.38 % (1713855)Time elapsed: 0.134 s
% 10.01/2.38 % (1713855)Peak memory usage: 90 MB
% 10.01/2.38 % (1713855)Instructions burned: 180 (million)
% 10.01/2.38 % (1713864)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=3334640717:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.01/2.38 % (1713865)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2492242889: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)
% 10.01/2.38 % (1713864)Refutation not found, incomplete strategy
% 10.01/2.38 % (1713864)------------------------------
% 10.01/2.38 % (1713864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713864)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713864)Termination reason: Refutation not found, incomplete strategy
% 10.01/2.38 % (1713864)Time elapsed: 0.005 s
% 10.01/2.38 % (1713864)Peak memory usage: 88 MB
% 10.01/2.38 % (1713864)Instructions burned: 5 (million)
% 10.01/2.38 % (1713866)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=834757886:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.01/2.38 % (1713867)lrs+10_64_to=lpo:sil=8000:random_seed=536159887:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.01/2.38 % (1713865)Instruction limit reached!
% 10.01/2.38 % (1713865)------------------------------
% 10.01/2.38 % (1713865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713865)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713865)Termination reason: Instruction limit
% 10.01/2.38 % (1713865)Termination phase: Saturation
% 10.01/2.38 % (1713865)Time elapsed: 0.095 s
% 10.01/2.38 % (1713865)Peak memory usage: 90 MB
% 10.01/2.38 % (1713865)Instructions burned: 190 (million)
% 10.01/2.38 % (1713867)Instruction limit reached!
% 10.01/2.38 % (1713867)------------------------------
% 10.01/2.38 % (1713867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713867)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713867)Termination reason: Instruction limit
% 10.01/2.38 % (1713867)Termination phase: Saturation
% 10.01/2.38 % (1713867)Time elapsed: 0.079 s
% 10.01/2.38 % (1713867)Peak memory usage: 90 MB
% 10.01/2.38 % (1713867)Instructions burned: 127 (million)
% 10.01/2.38 % (1713866)Instruction limit reached!
% 10.01/2.38 % (1713866)------------------------------
% 10.01/2.38 % (1713866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713866)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713866)Termination reason: Instruction limit
% 10.01/2.38 % (1713866)Termination phase: Saturation
% 10.01/2.38 % (1713866)Time elapsed: 0.143 s
% 10.01/2.38 % (1713866)Peak memory usage: 90 MB
% 10.01/2.38 % (1713866)Instructions burned: 219 (million)
% 10.01/2.38 % (1713864)------------------------------
% 10.01/2.38 % (1713864)------------------------------
% 10.01/2.38 % (1713872)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=666409554:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.01/2.38 % (1713873)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4216962258:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.01/2.38 % (1713874)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2267771897:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.01/2.38 % (1713872)Instruction limit reached!
% 10.01/2.38 % (1713872)------------------------------
% 10.01/2.38 % (1713872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713872)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713872)Termination reason: Instruction limit
% 10.01/2.38 % (1713872)Termination phase: Saturation
% 10.01/2.38 % (1713872)Time elapsed: 0.120 s
% 10.01/2.38 % (1713872)Peak memory usage: 90 MB
% 10.01/2.38 % (1713872)Instructions burned: 195 (million)
% 10.01/2.38 % (1713875)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=2034860754:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.01/2.38 % (1713873)Instruction limit reached!
% 10.01/2.38 % (1713873)------------------------------
% 10.01/2.38 % (1713873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713873)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713873)Termination reason: Instruction limit
% 10.01/2.38 % (1713873)Termination phase: Saturation
% 10.01/2.38 % (1713873)Time elapsed: 0.108 s
% 10.01/2.38 % (1713873)Peak memory usage: 91 MB
% 10.01/2.38 % (1713873)Instructions burned: 158 (million)
% 10.01/2.38 % (1713875)Instruction limit reached!
% 10.01/2.38 % (1713875)------------------------------
% 10.01/2.38 % (1713875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713875)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713875)Termination reason: Instruction limit
% 10.01/2.38 % (1713875)Termination phase: Saturation
% 10.01/2.38 % (1713875)Time elapsed: 0.065 s
% 10.01/2.38 % (1713875)Peak memory usage: 90 MB
% 10.01/2.38 % (1713875)Instructions burned: 108 (million)
% 10.01/2.38 % (1713879)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2722805905:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 10.01/2.38 % (1713881)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3398198765:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 10.01/2.38 % (1713882)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=960397099:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.01/2.38 % (1713879)Instruction limit reached!
% 10.01/2.38 % (1713879)------------------------------
% 10.01/2.38 % (1713879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713879)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713879)Termination reason: Instruction limit
% 10.01/2.38 % (1713879)Termination phase: Saturation
% 10.01/2.38 % (1713879)Time elapsed: 0.072 s
% 10.01/2.38 % (1713879)Peak memory usage: 90 MB
% 10.01/2.38 % (1713879)Instructions burned: 107 (million)
% 10.01/2.38 % (1713881)Instruction limit reached!
% 10.01/2.38 % (1713881)------------------------------
% 10.01/2.38 % (1713881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713881)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713881)Termination reason: Instruction limit
% 10.01/2.38 % (1713881)Termination phase: Saturation
% 10.01/2.38 % (1713881)Time elapsed: 0.163 s
% 10.01/2.38 % (1713881)Peak memory usage: 90 MB
% 10.01/2.38 % (1713881)Instructions burned: 242 (million)
% 10.01/2.38 % (1713886)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2469335257:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 10.01/2.38 % (1713850)First to succeed.
% 10.01/2.38 % (1713850)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1713845"
% 10.01/2.38 % (1713886)Instruction limit reached!
% 10.01/2.38 % (1713886)------------------------------
% 10.01/2.38 % (1713886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.38 % (1713886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.38 % (1713886)CaDiCaL version: 2.1.3
% 10.01/2.38 % (1713886)Termination reason: Instruction limit
% 10.01/2.38 % (1713886)Termination phase: Saturation
% 10.01/2.38 % (1713886)Time elapsed: 0.085 s
% 10.01/2.38 % (1713886)Peak memory usage: 90 MB
% 10.01/2.38 % (1713886)Instructions burned: 136 (million)
% 10.01/2.38 % (1713887)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1992170507:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 10.01/2.38 % (1713889)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=261513125:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 10.01/2.38 % (1713850)Refutation found. Thanks to Tanya!
% 10.01/2.38 % SZS status Unsatisfiable for theBenchmark
% 10.01/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 11.16/2.59 % (1713850)------------------------------
% 11.16/2.59 % (1713850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.59 % (1713850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.59 % (1713850)CaDiCaL version: 2.1.3
% 11.16/2.59 % (1713850)Termination reason: Refutation
% 11.16/2.59 % (1713850)Time elapsed: 1.065 s
% 11.16/2.59 % (1713850)Peak memory usage: 136 MB
% 11.16/2.59 % (1713850)Instructions burned: 1620 (million)
% 11.16/2.59 % (1713850)------------------------------
% 11.16/2.59 % (1713850)------------------------------
% 11.16/2.59 % (1713845)Success in time 1.503 s
% 11.16/2.59 % Vampire exiting
%------------------------------------------------------------------------------