%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET014-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:42:36 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 18 unt; 4 def)
% Number of atoms : 90 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 38 ~; 37 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_1) ).
fof(f123,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_2) ).
fof(f124,negated_conjecture,
~ subclass(union(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_3) ).
fof(f187,plain,
~ subclass(complement(intersection(complement(x),complement(y))),z),
inference(definition_unfolding,[],[f124,f26]) ).
fof(f196,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))),
inference(resolution,[],[f2,f187]) ).
fof(f197,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),intersection(complement(x),complement(y))),
inference(resolution,[],[f196,f24]) ).
fof(f198,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z),
inference(resolution,[],[f3,f187]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f215,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,z) ),
inference(resolution,[],[f1,f122]) ).
fof(f216,plain,
! [X0] :
( ~ member(X0,y)
| member(X0,z) ),
inference(resolution,[],[f1,f123]) ).
fof(f273,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(resolution,[],[f23,f197]) ).
fof(f278,definition,
( spl0_5
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f280,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x))
| spl0_5 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f282,definition,
( spl0_6
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f284,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| spl0_6 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f273,f282,f278]) ).
fof(f359,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x)
| spl0_5 ),
inference(resolution,[],[f280,f25]) ).
fof(f393,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class),
inference(resolution,[],[f204,f196]) ).
fof(f588,definition,
( spl0_13
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f590,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f592,definition,
( spl0_14
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f593,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,plain,
( spl0_13
| ~ spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f359,f278,f592,f588]) ).
fof(f596,plain,
spl0_14,
inference(avatar_split_clause,[],[f393,f592]) ).
fof(f705,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| spl0_6 ),
inference(resolution,[],[f284,f25]) ).
fof(f706,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f705,f593]) ).
fof(f759,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f706,f216]) ).
fof(f761,plain,
( $false
| spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f759,f198]) ).
fof(f762,plain,
( spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f784,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ spl0_13 ),
inference(resolution,[],[f590,f215]) ).
fof(f786,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f784,f198]) ).
fof(f787,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f786]) ).
cnf(s5,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f285]) ).
cnf(s13,plain,
( spl0_5
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f595]) ).
cnf(s14,plain,
spl0_14,
inference(sat_conversion,[],[f596]) ).
cnf(s25,plain,
( spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f762]) ).
cnf(s27,plain,
~ spl0_13,
inference(sat_conversion,[],[f787]) ).
cnf(s28,plain,
spl0_6,
inference(rat,[],[s25,s14]) ).
cnf(s29,plain,
spl0_5,
inference(rat,[],[s13,s14,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s5,s28,s29]) ).
fof(f788,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET014-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:07:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.50 % (3355066)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (3355071)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1561659912_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (3355072)% WARNING: option uhcvi not known.
% 0.16/0.50 % (3355075)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3455766286:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (3355072)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3607194426:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (3355076)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=142962627:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (3355073)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=163955593:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (3355074)dis+10_1_sil=32000:sp=arity:random_seed=3469497573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (3355077)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=301547979:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % (3355075) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3355066-3355075"...
% 0.16/0.50 % (3355075)...printing done.
% 0.16/0.50 % (3355075)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (3355075)------------------------------
% 0.16/0.50 % (3355075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (3355075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (3355075)CaDiCaL version: 2.1.3
% 0.16/0.50 % (3355075)Termination reason: Refutation
% 0.16/0.50 % (3355075)Time elapsed: 0.035 s
% 0.16/0.50 % (3355075)Peak memory usage: 13 MB
% 0.16/0.50 % (3355075)Instructions burned: 57 (million)
% 0.16/0.50 % (3355066)Success in time 0.076 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------