%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM183-1 : 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 : n011.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 12:18:03 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.51s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 15 unt; 1 def)
% Number of atoms : 57 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 24 |; 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 : 7 ( 7 usr; 5 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(f23,axiom,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f25,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f155,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',limit_ordinals) ).
fof(f176,negated_conjecture,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).
fof(f177,negated_conjecture,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).
fof(f178,negated_conjecture,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,X0)
| ~ subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f292,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| member(X0,universal_class)
| ~ member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f366,plain,
~ member(x,ordinal_numbers),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f367,plain,
member(x,kind_1_ordinals),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f368,plain,
member(x,limit_ordinals),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f568,plain,
! [X0] :
( ~ member(X0,limit_ordinals)
| member(X0,ordinal_numbers)
| member(X0,complement(kind_1_ordinals)) ),
inference(superposition,[],[f290,f155]) ).
fof(f700,definition,
( spl0_35
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f701,plain,
( ~ member(x,universal_class)
| spl0_35 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f702,plain,
( member(x,universal_class)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f933,plain,
( ! [X0] :
( member(x,X0)
| ~ subclass(X0,universal_class) )
| ~ spl0_35 ),
inference(resolution,[],[f702,f275]) ).
fof(f934,plain,
( ! [X0] : member(x,X0)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f933,f4]) ).
fof(f935,plain,
( $false
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[],[f366,f934]) ).
fof(f947,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f2168,plain,
( member(x,ordinal_numbers)
| member(x,complement(kind_1_ordinals)) ),
inference(resolution,[],[f568,f368]) ).
fof(f2169,plain,
member(x,complement(kind_1_ordinals)),
inference(forward_subsumption_resolution,[],[f2168,f366]) ).
fof(f2237,plain,
( member(x,universal_class)
| ~ member(x,kind_1_ordinals) ),
inference(resolution,[],[f2169,f292]) ).
fof(f2240,plain,
( ~ member(x,kind_1_ordinals)
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f2237,f701]) ).
fof(f2241,plain,
( $false
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f2240,f367]) ).
fof(f2242,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f2241]) ).
cnf(s41,plain,
~ spl0_35,
inference(sat_conversion,[],[f947]) ).
cnf(s201,plain,
spl0_35,
inference(sat_conversion,[],[f2242]) ).
cnf(s204,plain,
$false,
inference(rat,[],[s41,s201]) ).
fof(f2243,plain,
$false,
inference(avatar_sat_refutation,[],[s204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM183-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n011.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 19:06:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.37/0.51 % (2696070)Will run a generic schedule for satisfiability detection.
% 0.37/0.51 % (2696077)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2609408755:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.51 % (2696076)% WARNING: option uhcvi not known.
% 0.37/0.51 % (2696075)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=811614505_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.51 % (2696076)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1404446718:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.51 % (2696078)dis+10_1_sil=32000:sp=arity:random_seed=3957487318:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.51 % (2696080)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3490852213:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.51 % (2696081)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2887132801:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.51 % (2696079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4215775197:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.51 % (2696076) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2696070-2696076"...
% 0.37/0.51 % (2696076)...printing done.
% 0.37/0.51 % (2696081) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2696070-2696081"...
% 0.37/0.51 % (2696076)Refutation found. Thanks to Tanya!
% 0.37/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.51 % (2696076)------------------------------
% 0.37/0.51 % (2696076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.51 % (2696076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.51 % (2696076)CaDiCaL version: 2.1.3
% 0.37/0.51 % (2696076)Termination reason: Refutation
% 0.37/0.51 % (2696076)Time elapsed: 0.061 s
% 0.37/0.51 % (2696076)Peak memory usage: 14 MB
% 0.37/0.51 % (2696076)Instructions burned: 84 (million)
% 0.37/0.51 % (2696070)Success in time 0.101 s
% 0.37/0.51 % Vampire exiting
%------------------------------------------------------------------------------