%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET192-6 : 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 : n015.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 12:40:27 PM UTC 2026
% Result : Unsatisfiable 0.16s 1.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 2 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 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(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(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property9_1) ).
fof(f123,negated_conjecture,
~ subclass(complement(y),complement(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property9_2) ).
fof(f204,plain,
member(not_subclass_element(complement(y),complement(x)),complement(y)),
inference(resolution,[],[f2,f123]) ).
fof(f205,plain,
~ member(not_subclass_element(complement(y),complement(x)),y),
inference(resolution,[],[f204,f24]) ).
fof(f206,plain,
~ member(not_subclass_element(complement(y),complement(x)),complement(x)),
inference(resolution,[],[f3,f123]) ).
fof(f207,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[],[f1,f122]) ).
fof(f216,plain,
~ member(not_subclass_element(complement(y),complement(x)),x),
inference(resolution,[],[f215,f205]) ).
fof(f218,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),universal_class)
| member(not_subclass_element(complement(y),complement(x)),x) ),
inference(resolution,[],[f25,f206]) ).
fof(f220,definition,
( spl1_1
<=> member(not_subclass_element(complement(y),complement(x)),x) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f221,plain,
( member(not_subclass_element(complement(y),complement(x)),x)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,definition,
( spl1_2
<=> member(not_subclass_element(complement(y),complement(x)),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f224,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),universal_class)
| spl1_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f218,f223,f220]) ).
fof(f226,plain,
( ! [X0] : ~ member(not_subclass_element(complement(y),complement(x)),X0)
| spl1_2 ),
inference(resolution,[],[f224,f207]) ).
fof(f227,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f226,f204]) ).
fof(f231,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f232,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f221,f216]) ).
fof(f233,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f232]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f225]) ).
cnf(s2,plain,
spl1_2,
inference(sat_conversion,[],[f231]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f233]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f234,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET192-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 01:06:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.16/1.50 % (2173742)Input is clausal, will run a generic CNF schedule.
% 0.16/1.50 % (2173748)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2091944251:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.50 % (2173750)lrs+10_1_sil=8000:sp=occurrence:random_seed=2398930008:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.50 % (2173747)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=3353805440:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.50 % (2173751)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4175077915:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.50 % (2173749)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1021548337:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.50 % (2173753)dis-21_1_sil=8000:lcm=predicate:random_seed=3816503008: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)
% 0.16/1.50 % (2173752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2145743150:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.50 % (2173750)Refutation not found, incomplete strategy
% 0.16/1.50 % (2173750)------------------------------
% 0.16/1.50 % (2173750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2173751)Refutation not found, incomplete strategy
% 0.16/1.50 % (2173751)------------------------------
% 0.16/1.50 % (2173751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2173750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2173750)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2173751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2173750)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (2173750)Time elapsed: 0.002 s
% 0.16/1.50 % (2173750)Peak memory usage: 88 MB
% 0.16/1.50 % (2173751)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2173750)Instructions burned: 1 (million)
% 0.16/1.50 % (2173751)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (2173751)Time elapsed: 0.002 s
% 0.16/1.50 % (2173751)Peak memory usage: 88 MB
% 0.16/1.50 % (2173751)Instructions burned: 1 (million)
% 0.16/1.50 % (2173753)First to succeed.
% 0.16/1.50 % (2173753)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2173742"
% 0.16/1.50 % (2173752)Also succeeded, but the first one will report.
% 0.16/1.50 % (2173750)------------------------------
% 0.16/1.50 % (2173750)------------------------------
% 0.16/1.50 % (2173751)------------------------------
% 0.16/1.50 % (2173751)------------------------------
% 0.16/1.50 % (2173753)Refutation found. Thanks to Tanya!
% 0.16/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (2173753)------------------------------
% 0.16/1.50 % (2173753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2173753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2173753)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2173753)Termination reason: Refutation
% 0.16/1.50 % (2173753)Time elapsed: 0.005 s
% 0.16/1.50 % (2173753)Peak memory usage: 89 MB
% 0.16/1.50 % (2173753)Instructions burned: 7 (million)
% 0.16/1.50 % (2173753)------------------------------
% 0.16/1.50 % (2173753)------------------------------
% 0.16/1.50 % (2173742)Success in time 0.446 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------