%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET177-6 : 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 : n017.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 2.77s 1.28s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 104 ( 14 unt; 13 def)
% Number of atoms : 225 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 219 ( 98 ~; 108 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 17 ( 15 usr; 13 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(x,intersection(complement(x),z)) != union(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distribution_property1_1) ).
fof(f136,plain,
complement(intersection(complement(x),complement(intersection(complement(x),z)))) != complement(intersection(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(x),complement(intersection(complement(x),z)))),complement(intersection(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(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z)))))
| ~ subclass(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))) ),
inference(resolution,[],[f182,f181]) ).
fof(f218,definition,
( spl1_1
<=> subclass(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ subclass(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z)))))
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> subclass(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ subclass(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(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(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(intersection(complement(x),complement(intersection(complement(x),z)))))
| spl1_1 ),
inference(resolution,[],[f219,f3]) ).
fof(f226,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(intersection(complement(x),complement(z))))
| spl1_1 ),
inference(resolution,[],[f219,f2]) ).
fof(f227,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),intersection(complement(x),complement(z)))
| spl1_1 ),
inference(resolution,[],[f226,f24]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),intersection(complement(x),complement(intersection(complement(x),z))))
| spl1_1 ),
inference(resolution,[],[f25,f225]) ).
fof(f231,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),intersection(complement(x),complement(intersection(complement(x),z)))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f232,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),intersection(complement(x),complement(intersection(complement(x),z))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(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(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(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(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(intersection(complement(x),z)))
| ~ spl1_3 ),
inference(resolution,[],[f232,f22]) ).
fof(f247,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(x))
| ~ spl1_3 ),
inference(resolution,[],[f232,f21]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),intersection(complement(x),z))
| ~ spl1_3 ),
inference(resolution,[],[f246,f24]) ).
fof(f254,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(x))
| spl1_1 ),
inference(resolution,[],[f23,f227]) ).
fof(f255,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(x))
| ~ spl1_3 ),
inference(resolution,[],[f23,f249]) ).
fof(f257,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f258,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(x))
| spl1_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,definition,
( spl1_6
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),z) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f262,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f255,f231,f260,f257]) ).
fof(f264,definition,
( spl1_7
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(z)) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f265,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),complement(z))
| spl1_7 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ spl1_5
| ~ spl1_7
| spl1_1 ),
inference(avatar_split_clause,[],[f254,f218,f264,f257]) ).
fof(f267,plain,
( $false
| ~ spl1_3
| spl1_5 ),
inference(resolution,[],[f258,f247]) ).
fof(f269,plain,
( ~ spl1_3
| spl1_5 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f274,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(x),complement(intersection(complement(x),z))))),z)
| spl1_7 ),
inference(resolution,[],[f265,f25]) ).
fof(f276,plain,
( spl1_6
| ~ spl1_4
| spl1_7 ),
inference(avatar_split_clause,[],[f274,f264,f234,f260]) ).
fof(f277,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(intersection(complement(x),complement(z))))
| spl1_2 ),
inference(resolution,[],[f222,f3]) ).
fof(f278,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(intersection(complement(x),complement(intersection(complement(x),z)))))
| spl1_2 ),
inference(resolution,[],[f222,f2]) ).
fof(f279,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),complement(z)))
| spl1_2 ),
inference(resolution,[],[f277,f25]) ).
fof(f281,definition,
( spl1_9
<=> member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),complement(z))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f282,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),complement(z)))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,definition,
( spl1_10
<=> member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f285,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),universal_class)
| spl1_10 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
( spl1_9
| ~ spl1_10
| spl1_2 ),
inference(avatar_split_clause,[],[f279,f221,f284,f281]) ).
fof(f287,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),X0)
| spl1_10 ),
inference(resolution,[],[f285,f207]) ).
fof(f288,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),complement(intersection(complement(x),z))))
| spl1_2 ),
inference(resolution,[],[f278,f24]) ).
fof(f289,plain,
( $false
| spl1_2
| spl1_10 ),
inference(resolution,[],[f287,f278]) ).
fof(f297,plain,
( spl1_2
| spl1_10 ),
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f298,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(z))
| ~ spl1_9 ),
inference(resolution,[],[f282,f22]) ).
fof(f299,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(x))
| ~ spl1_9 ),
inference(resolution,[],[f282,f21]) ).
fof(f300,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),z)
| ~ spl1_9 ),
inference(resolution,[],[f298,f24]) ).
fof(f301,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(intersection(complement(x),z)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(x))
| spl1_2 ),
inference(resolution,[],[f288,f23]) ).
fof(f303,definition,
( spl1_11
<=> member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f304,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(x))
| spl1_11 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f306,definition,
( spl1_12
<=> member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(intersection(complement(x),z))) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f307,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),complement(intersection(complement(x),z)))
| spl1_12 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ spl1_11
| ~ spl1_12
| spl1_2 ),
inference(avatar_split_clause,[],[f301,f221,f306,f303]) ).
fof(f310,plain,
( $false
| ~ spl1_9
| spl1_11 ),
inference(resolution,[],[f304,f299]) ).
fof(f312,plain,
( ~ spl1_9
| spl1_11 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f317,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),z))
| spl1_12 ),
inference(resolution,[],[f307,f25]) ).
fof(f319,definition,
( spl1_14
<=> member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),z)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f320,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),intersection(complement(x),z))
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f321,plain,
( spl1_14
| ~ spl1_10
| spl1_12 ),
inference(avatar_split_clause,[],[f317,f306,f284,f319]) ).
fof(f330,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(complement(x),z)))),complement(intersection(complement(x),complement(z)))),z)
| ~ spl1_14 ),
inference(resolution,[],[f320,f22]) ).
fof(f332,plain,
( $false
| ~ spl1_9
| ~ spl1_14 ),
inference(resolution,[],[f330,f300]) ).
fof(f333,plain,
( ~ spl1_9
| ~ spl1_14 ),
inference(avatar_contradiction_clause,[],[f332]) ).
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_5
| ~ spl1_6 ),
inference(sat_conversion,[],[f262]) ).
cnf(s6,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_7 ),
inference(sat_conversion,[],[f266]) ).
cnf(s7,plain,
( ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f269]) ).
cnf(s9,plain,
( ~ spl1_4
| spl1_6
| spl1_7 ),
inference(sat_conversion,[],[f276]) ).
cnf(s10,plain,
( spl1_2
| spl1_9
| ~ spl1_10 ),
inference(sat_conversion,[],[f286]) ).
cnf(s11,plain,
( spl1_2
| spl1_10 ),
inference(sat_conversion,[],[f297]) ).
cnf(s12,plain,
( spl1_2
| ~ spl1_11
| ~ spl1_12 ),
inference(sat_conversion,[],[f308]) ).
cnf(s13,plain,
( ~ spl1_9
| spl1_11 ),
inference(sat_conversion,[],[f312]) ).
cnf(s15,plain,
( ~ spl1_10
| spl1_12
| spl1_14 ),
inference(sat_conversion,[],[f321]) ).
cnf(s16,plain,
( ~ spl1_9
| ~ spl1_14 ),
inference(sat_conversion,[],[f333]) ).
cnf(s17,plain,
( spl1_1
| ~ spl1_4 ),
inference(rat,[],[s9,s5,s6,s7,s3]) ).
cnf(s18,plain,
spl1_1,
inference(rat,[],[s17,s4]) ).
cnf(s19,plain,
~ spl1_2,
inference(rat,[],[s2,s18]) ).
cnf(s20,plain,
spl1_10,
inference(rat,[],[s11,s19]) ).
cnf(s21,plain,
spl1_9,
inference(rat,[],[s10,s19,s20]) ).
cnf(s22,plain,
~ spl1_14,
inference(rat,[],[s16,s21]) ).
cnf(s23,plain,
spl1_11,
inference(rat,[],[s13,s21]) ).
cnf(s24,plain,
spl1_12,
inference(rat,[],[s15,s20,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s12,s19,s24,s23]) ).
fof(f334,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET177-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:57:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.77/1.28 % (3122883)Input is clausal, will run a generic CNF schedule.
% 2.77/1.28 % (3122890)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4078111433:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.28 % (3122888)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=3421151013:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.28 % (3122891)lrs+10_1_sil=8000:sp=occurrence:random_seed=2760987077:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.28 % (3122889)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=55283763:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.28 % (3122891)Refutation not found, incomplete strategy
% 2.77/1.28 % (3122891)------------------------------
% 2.77/1.28 % (3122891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.28 % (3122891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.28 % (3122891)CaDiCaL version: 2.1.3
% 2.77/1.28 % (3122891)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.28 % (3122891)Time elapsed: 0.002 s
% 2.77/1.28 % (3122891)Peak memory usage: 88 MB
% 2.77/1.28 % (3122891)Instructions burned: 1 (million)
% 2.77/1.28 % (3122894)dis-21_1_sil=8000:lcm=predicate:random_seed=2838171357: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)
% 2.77/1.28 % (3122892)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3422828761:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.28 % (3122893)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1248394066:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.28 % (3122894)First to succeed.
% 2.77/1.28 % (3122894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3122883"
% 2.77/1.28 % (3122892)Instruction limit reached!
% 2.77/1.28 % (3122892)------------------------------
% 2.77/1.28 % (3122892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.28 % (3122892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.28 % (3122892)CaDiCaL version: 2.1.3
% 2.77/1.28 % (3122892)Termination reason: Instruction limit
% 2.77/1.28 % (3122892)Termination phase: Saturation
% 2.77/1.28 % (3122892)Time elapsed: 0.070 s
% 2.77/1.28 % (3122892)Peak memory usage: 89 MB
% 2.77/1.28 % (3122892)Instructions burned: 114 (million)
% 2.77/1.28 % (3122893)Instruction limit reached!
% 2.77/1.28 % (3122893)------------------------------
% 2.77/1.28 % (3122893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.28 % (3122893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.28 % (3122893)CaDiCaL version: 2.1.3
% 2.77/1.28 % (3122893)Termination reason: Instruction limit
% 2.77/1.28 % (3122893)Termination phase: Saturation
% 2.77/1.28 % (3122893)Time elapsed: 0.134 s
% 2.77/1.28 % (3122893)Peak memory usage: 90 MB
% 2.77/1.28 % (3122893)Instructions burned: 180 (million)
% 2.77/1.28 % (3122891)------------------------------
% 2.77/1.28 % (3122891)------------------------------
% 2.77/1.28 % (3122902)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=3345243455:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.77/1.28 % (3122902)Refutation not found, incomplete strategy
% 2.77/1.28 % (3122902)------------------------------
% 2.77/1.28 % (3122902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.28 % (3122902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.28 % (3122902)CaDiCaL version: 2.1.3
% 2.77/1.28 % (3122902)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.28 % (3122902)Time elapsed: 0.003 s
% 2.77/1.28 % (3122902)Peak memory usage: 88 MB
% 2.77/1.28 % (3122902)Instructions burned: 3 (million)
% 2.77/1.28 % (3122894)Refutation found. Thanks to Tanya!
% 2.77/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.48 % (3122894)------------------------------
% 3.66/1.48 % (3122894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3122894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3122894)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3122894)Termination reason: Refutation
% 3.66/1.48 % (3122894)Time elapsed: 0.008 s
% 3.66/1.48 % (3122894)Peak memory usage: 89 MB
% 3.66/1.48 % (3122894)Instructions burned: 11 (million)
% 3.66/1.48 % (3122894)------------------------------
% 3.66/1.48 % (3122894)------------------------------
% 3.66/1.48 % (3122883)Success in time 0.443 s
% 3.66/1.48 % Vampire exiting
%------------------------------------------------------------------------------