%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET180-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:40:25 PM UTC 2026
% Result : Unsatisfiable 3.12s 1.32s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 110 ( 14 unt; 14 def)
% Number of atoms : 240 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 236 ( 106 ~; 116 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 14 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),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(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(f122,negated_conjecture,
union(complement(x),intersection(x,z)) != union(complement(x),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distribution_property2_1) ).
fof(f136,plain,
complement(intersection(complement(complement(x)),complement(intersection(x,z)))) != complement(intersection(complement(complement(x)),complement(z))),
inference(definition_unfolding,[],[f122,f26,f26]) ).
fof(f180,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f181,plain,
~ sQ0_eqProxy(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),
inference(equality_proxy_replacement,[],[f136,f180]) ).
fof(f182,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f180]) ).
fof(f207,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| ~ subclass(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f182,f181]) ).
fof(f218,definition,
( spl1_1
<=> subclass(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> subclass(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z))))
| spl1_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f215,f218,f221]) ).
fof(f225,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| spl1_1 ),
inference(resolution,[],[f219,f3]) ).
fof(f226,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(intersection(x,z))))
| spl1_1 ),
inference(resolution,[],[f25,f225]) ).
fof(f231,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(intersection(x,z)))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f232,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(intersection(x,z))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f229,f218,f234,f231]) ).
fof(f237,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),X0)
| spl1_4 ),
inference(resolution,[],[f235,f207]) ).
fof(f238,plain,
( $false
| spl1_1
| spl1_4 ),
inference(resolution,[],[f237,f226]) ).
fof(f245,plain,
( spl1_1
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f246,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(x,z)))
| ~ spl1_3 ),
inference(resolution,[],[f232,f22]) ).
fof(f247,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(complement(x)))
| ~ spl1_3 ),
inference(resolution,[],[f232,f21]) ).
fof(f248,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(x))
| ~ spl1_3 ),
inference(resolution,[],[f247,f24]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),x)
| ~ spl1_3 ),
inference(resolution,[],[f248,f25]) ).
fof(f251,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),x) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f253,plain,
( spl1_5
| ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f249,f231,f234,f251]) ).
fof(f254,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(z))))
| spl1_2 ),
inference(resolution,[],[f222,f3]) ).
fof(f255,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f259,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z)))
| spl1_2 ),
inference(resolution,[],[f254,f25]) ).
fof(f261,definition,
( spl1_6
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f262,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z)))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,definition,
( spl1_7
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f265,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| spl1_7 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl1_6
| ~ spl1_7
| spl1_2 ),
inference(avatar_split_clause,[],[f259,f221,f264,f261]) ).
fof(f267,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),X0)
| spl1_7 ),
inference(resolution,[],[f265,f207]) ).
fof(f268,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(intersection(x,z))))
| spl1_2 ),
inference(resolution,[],[f255,f24]) ).
fof(f279,plain,
( $false
| spl1_2
| spl1_7 ),
inference(resolution,[],[f267,f255]) ).
fof(f286,plain,
( spl1_2
| spl1_7 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f287,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(z))
| ~ spl1_6 ),
inference(resolution,[],[f262,f22]) ).
fof(f288,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| ~ spl1_6 ),
inference(resolution,[],[f262,f21]) ).
fof(f289,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),z)
| ~ spl1_6 ),
inference(resolution,[],[f287,f24]) ).
fof(f299,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| spl1_2 ),
inference(resolution,[],[f23,f268]) ).
fof(f301,definition,
( spl1_9
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f302,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| spl1_9 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f305,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z)))
| spl1_10 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ spl1_9
| ~ spl1_10
| spl1_2 ),
inference(avatar_split_clause,[],[f299,f221,f304,f301]) ).
fof(f307,plain,
( $false
| ~ spl1_6
| spl1_9 ),
inference(resolution,[],[f302,f288]) ).
fof(f309,plain,
( ~ spl1_6
| spl1_9 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f314,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z))
| spl1_10 ),
inference(resolution,[],[f305,f25]) ).
fof(f316,definition,
( spl1_12
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z)) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f317,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z))
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f318,plain,
( spl1_12
| ~ spl1_7
| spl1_10 ),
inference(avatar_split_clause,[],[f314,f304,f264,f316]) ).
fof(f319,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),z)
| ~ spl1_12 ),
inference(resolution,[],[f317,f22]) ).
fof(f321,plain,
( $false
| ~ spl1_6
| ~ spl1_12 ),
inference(resolution,[],[f319,f289]) ).
fof(f322,plain,
( ~ spl1_6
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f324,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f325,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(z)))
| spl1_1 ),
inference(resolution,[],[f324,f24]) ).
fof(f329,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(complement(x)))
| spl1_1 ),
inference(resolution,[],[f325,f23]) ).
fof(f331,definition,
( spl1_13
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(complement(x))) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f332,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(complement(x)))
| spl1_13 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,definition,
( spl1_14
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(z)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f335,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(z))
| spl1_14 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( ~ spl1_13
| ~ spl1_14
| spl1_1 ),
inference(avatar_split_clause,[],[f329,f218,f334,f331]) ).
fof(f340,plain,
( $false
| ~ spl1_3
| spl1_13 ),
inference(resolution,[],[f332,f247]) ).
fof(f342,plain,
( ~ spl1_3
| spl1_13 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f347,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z)
| spl1_14 ),
inference(resolution,[],[f335,f25]) ).
fof(f349,definition,
( spl1_16
<=> member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f351,plain,
( spl1_16
| ~ spl1_4
| spl1_14 ),
inference(avatar_split_clause,[],[f347,f334,f234,f349]) ).
fof(f352,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(x,z))
| ~ spl1_3 ),
inference(resolution,[],[f246,f24]) ).
fof(f353,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),x)
| ~ spl1_3 ),
inference(resolution,[],[f352,f23]) ).
fof(f356,plain,
( ~ spl1_5
| ~ spl1_16
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f353,f231,f349,f251]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f224]) ).
cnf(s3,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f236]) ).
cnf(s4,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f245]) ).
cnf(s5,plain,
( ~ spl1_3
| ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f253]) ).
cnf(s6,plain,
( spl1_2
| spl1_6
| ~ spl1_7 ),
inference(sat_conversion,[],[f266]) ).
cnf(s9,plain,
( spl1_2
| spl1_7 ),
inference(sat_conversion,[],[f286]) ).
cnf(s11,plain,
( spl1_2
| ~ spl1_9
| ~ spl1_10 ),
inference(sat_conversion,[],[f306]) ).
cnf(s12,plain,
( ~ spl1_6
| spl1_9 ),
inference(sat_conversion,[],[f309]) ).
cnf(s14,plain,
( ~ spl1_7
| spl1_10
| spl1_12 ),
inference(sat_conversion,[],[f318]) ).
cnf(s15,plain,
( ~ spl1_6
| ~ spl1_12 ),
inference(sat_conversion,[],[f322]) ).
cnf(s17,plain,
( spl1_1
| ~ spl1_13
| ~ spl1_14 ),
inference(sat_conversion,[],[f336]) ).
cnf(s18,plain,
( ~ spl1_3
| spl1_13 ),
inference(sat_conversion,[],[f342]) ).
cnf(s20,plain,
( ~ spl1_4
| spl1_14
| spl1_16 ),
inference(sat_conversion,[],[f351]) ).
cnf(s21,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_16 ),
inference(sat_conversion,[],[f356]) ).
cnf(s22,plain,
( spl1_1
| ~ spl1_4 ),
inference(rat,[],[s20,s21,s17,s5,s18,s3]) ).
cnf(s23,plain,
spl1_1,
inference(rat,[],[s22,s4]) ).
cnf(s24,plain,
~ spl1_2,
inference(rat,[],[s2,s23]) ).
cnf(s25,plain,
spl1_7,
inference(rat,[],[s9,s24]) ).
cnf(s26,plain,
spl1_6,
inference(rat,[],[s6,s25,s24]) ).
cnf(s27,plain,
~ spl1_12,
inference(rat,[],[s15,s26]) ).
cnf(s28,plain,
spl1_9,
inference(rat,[],[s12,s26]) ).
cnf(s30,plain,
spl1_10,
inference(rat,[],[s14,s25,s27]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s11,s24,s30,s28]) ).
fof(f357,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET180-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 01:03:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.12/1.32 % (1093665)Input is clausal, will run a generic CNF schedule.
% 3.12/1.32 % (1093674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1336165758:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.12/1.32 % (1093671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=60984285:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.12/1.32 % (1093670)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=3869267610:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.12/1.32 % (1093672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1570268512:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.12/1.32 % (1093674)Instruction limit reached!
% 3.12/1.32 % (1093674)------------------------------
% 3.12/1.32 % (1093674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (1093674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (1093674)CaDiCaL version: 2.1.3
% 3.12/1.32 % (1093674)Termination reason: Instruction limit
% 3.12/1.32 % (1093674)Termination phase: Saturation
% 3.12/1.32 % (1093674)Time elapsed: 0.038 s
% 3.12/1.32 % (1093674)Peak memory usage: 89 MB
% 3.12/1.32 % (1093674)Instructions burned: 114 (million)
% 3.12/1.32 % (1093676)dis-21_1_sil=8000:lcm=predicate:random_seed=1468606321: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)
% 3.12/1.32 % (1093673)lrs+10_1_sil=8000:sp=occurrence:random_seed=3853899698:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.12/1.32 % (1093675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3396752891:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.12/1.32 % (1093673)Refutation not found, incomplete strategy
% 3.12/1.32 % (1093673)------------------------------
% 3.12/1.32 % (1093673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (1093673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (1093673)CaDiCaL version: 2.1.3
% 3.12/1.32 % (1093673)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.32 % (1093673)Time elapsed: 0.002 s
% 3.12/1.32 % (1093673)Peak memory usage: 88 MB
% 3.12/1.32 % (1093673)Instructions burned: 1 (million)
% 3.12/1.32 % (1093676)First to succeed.
% 3.12/1.32 % (1093676)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1093665"
% 3.12/1.32 % (1093684)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=1520295399:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.12/1.32 % (1093684)Refutation not found, incomplete strategy
% 3.12/1.32 % (1093684)------------------------------
% 3.12/1.32 % (1093684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (1093684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (1093684)CaDiCaL version: 2.1.3
% 3.12/1.32 % (1093684)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.32 % (1093684)Time elapsed: 0.001 s
% 3.12/1.32 % (1093684)Peak memory usage: 88 MB
% 3.12/1.32 % (1093684)Instructions burned: 3 (million)
% 3.12/1.32 % (1093675)Instruction limit reached!
% 3.12/1.32 % (1093675)------------------------------
% 3.12/1.32 % (1093675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.32 % (1093675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.32 % (1093675)CaDiCaL version: 2.1.3
% 3.12/1.32 % (1093675)Termination reason: Instruction limit
% 3.12/1.32 % (1093675)Termination phase: Saturation
% 3.12/1.32 % (1093675)Time elapsed: 0.153 s
% 3.12/1.32 % (1093675)Peak memory usage: 90 MB
% 3.12/1.32 % (1093675)Instructions burned: 181 (million)
% 3.12/1.32 % (1093673)------------------------------
% 3.12/1.32 % (1093673)------------------------------
% 3.12/1.32 % (1093684)------------------------------
% 3.12/1.32 % (1093684)------------------------------
% 3.12/1.32 % (1093676)Refutation found. Thanks to Tanya!
% 3.12/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.12/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.51 % (1093676)------------------------------
% 3.90/1.51 % (1093676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (1093676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (1093676)CaDiCaL version: 2.1.3
% 3.90/1.51 % (1093676)Termination reason: Refutation
% 3.90/1.51 % (1093676)Time elapsed: 0.045 s
% 3.90/1.51 % (1093676)Peak memory usage: 89 MB
% 3.90/1.51 % (1093676)Instructions burned: 12 (million)
% 3.90/1.51 % (1093676)------------------------------
% 3.90/1.51 % (1093676)------------------------------
% 3.90/1.51 % (1093665)Success in time 0.471 s
% 3.90/1.51 % Vampire exiting
%------------------------------------------------------------------------------