%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET200-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:43:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.49s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 23 unt; 2 def)
% Number of atoms : 78 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_is_monotonic_1) ).
fof(f123,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_is_monotonic_2) ).
fof(f124,negated_conjecture,
~ subclass(union(x,z),union(y,w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_is_monotonic_3) ).
fof(f187,plain,
~ subclass(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),
inference(definition_unfolding,[],[f124,f26,f26]) ).
fof(f196,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(intersection(complement(x),complement(z)))),
inference(resolution,[],[f2,f187]) ).
fof(f197,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),intersection(complement(x),complement(z))),
inference(resolution,[],[f196,f24]) ).
fof(f198,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(intersection(complement(y),complement(w)))),
inference(resolution,[],[f3,f187]) ).
fof(f201,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[],[f1,f122]) ).
fof(f216,plain,
! [X0] :
( member(X0,w)
| ~ member(X0,z) ),
inference(resolution,[],[f1,f123]) ).
fof(f240,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class),
inference(resolution,[],[f201,f196]) ).
fof(f248,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),intersection(complement(y),complement(w))) ),
inference(resolution,[],[f25,f198]) ).
fof(f249,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),intersection(complement(y),complement(w))),
inference(forward_subsumption_resolution,[],[f248,f240]) ).
fof(f250,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(w)),
inference(resolution,[],[f249,f22]) ).
fof(f251,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(y)),
inference(resolution,[],[f249,f21]) ).
fof(f256,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),w),
inference(resolution,[],[f250,f24]) ).
fof(f261,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x)) ),
inference(resolution,[],[f23,f197]) ).
fof(f266,definition,
( spl0_1
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f268,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x))
| spl0_1 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl0_2
<=> member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(z)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f272,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(z))
| spl0_2 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f261,f270,f266]) ).
fof(f274,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),z),
inference(resolution,[],[f256,f216]) ).
fof(f281,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),y),
inference(resolution,[],[f251,f24]) ).
fof(f284,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),x),
inference(resolution,[],[f281,f215]) ).
fof(f286,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),x)
| spl0_1 ),
inference(resolution,[],[f268,f25]) ).
fof(f287,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),x)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f286,f240]) ).
fof(f288,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f287,f284]) ).
fof(f289,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f293,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),z)
| spl0_2 ),
inference(resolution,[],[f272,f25]) ).
fof(f294,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),z)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f293,f240]) ).
fof(f295,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f294,f274]) ).
fof(f296,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f295]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f273]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f289]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f296]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f297,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET200-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/10.40 % Computer : n008.cluster.edu
% 0.14/10.40 % Model : x86_64 x86_64
% 0.14/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.40 % Memory : 8046.5625MB
% 0.14/10.40 % OS : Linux 6.8.0-71-generic
% 0.14/10.40 % CPULimit : 300
% 0.14/10.40 % WCLimit : 300
% 0.14/10.40 % DateTime : Mon Sep 28 01:05:53 UTC 2026
% 0.14/10.40 % CPUTime :
% 0.14/10.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/10.43 Running first-order model finding
% 0.14/10.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.49 % (1776578)Will run a generic schedule for satisfiability detection.
% 0.14/10.49 % (1776586)dis+10_1_sil=32000:sp=arity:random_seed=1610092419:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/10.49 % (1776584)% WARNING: option uhcvi not known.
% 0.14/10.49 % (1776583)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2361391366_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/10.49 % (1776584)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1143434830:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/10.49 % (1776585)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2693498025:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/10.49 % (1776587)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3169866145:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/10.49 % (1776588)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4078794443:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/10.49 % (1776589)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1470625085:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/10.49 % (1776587) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1776578-1776587"...
% 0.14/10.49 % (1776587)...printing done.
% 0.14/10.49 % (1776587)Refutation found. Thanks to Tanya!
% 0.14/10.49 % SZS status Unsatisfiable for theBenchmark
% 0.14/10.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/10.49 % (1776587)------------------------------
% 0.14/10.49 % (1776587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/10.49 % (1776587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/10.49 % (1776587)CaDiCaL version: 2.1.3
% 0.14/10.49 % (1776587)Termination reason: Refutation
% 0.14/10.49 % (1776587)Time elapsed: 0.011 s
% 0.14/10.49 % (1776587)Peak memory usage: 12 MB
% 0.14/10.49 % (1776587)Instructions burned: 17 (million)
% 0.14/10.49 % (1776578)Success in time 0.048 s
% 0.14/10.49 % Vampire exiting
%------------------------------------------------------------------------------