%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET146-6 : 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 : 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 12:43:16 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 10 unt; 1 def)
% Number of atoms : 46 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 18 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
intersection(null_class,x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_with_null_class_1) ).
fof(f123,plain,
null_class != intersection(null_class,x),
inference(reorient_equations,[],[f122]) ).
fof(f193,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f194,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f210,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f196,f68]) ).
fof(f336,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f193,f210]) ).
fof(f346,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f386,definition,
( spl0_18
<=> null_class = complement(universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f388,plain,
( null_class = complement(universal_class)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f390,plain,
spl0_18,
inference(avatar_split_clause,[],[f346,f386]) ).
fof(f395,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_18 ),
inference(superposition,[],[f24,f388]) ).
fof(f396,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f395,f196]) ).
fof(f974,plain,
( ! [X0] : null_class = intersection(null_class,X0)
| ~ spl0_18 ),
inference(resolution,[],[f194,f396]) ).
fof(f1432,plain,
( null_class != null_class
| ~ spl0_18 ),
inference(superposition,[],[f123,f974]) ).
fof(f1441,plain,
( $false
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1432]) ).
fof(f1442,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f1441]) ).
cnf(s13,plain,
spl0_18,
inference(sat_conversion,[],[f390]) ).
cnf(s42,plain,
~ spl0_18,
inference(sat_conversion,[],[f1442]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s13,s42]) ).
fof(f1443,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET146-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:58:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.50 % (2167859)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (2167868)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3303969279:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (2167865)% WARNING: option uhcvi not known.
% 0.18/0.50 % (2167864)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4089154000_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (2167869)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2158125082:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (2167865)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1828809133:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (2167866)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4182884299:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (2167867)dis+10_1_sil=32000:sp=arity:random_seed=2787711119:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (2167870)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2488568534:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (2167868) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2167859-2167868"...
% 0.18/0.50 % (2167868)...printing done.
% 0.18/0.50 % (2167868)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (2167868)------------------------------
% 0.18/0.50 % (2167868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (2167868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (2167868)CaDiCaL version: 2.1.3
% 0.18/0.50 % (2167868)Termination reason: Refutation
% 0.18/0.50 % (2167868)Time elapsed: 0.030 s
% 0.18/0.50 % (2167868)Peak memory usage: 13 MB
% 0.18/0.50 % (2167868)Instructions burned: 91 (million)
% 0.18/0.50 % (2167859)Success in time 0.063 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------