%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM180-1 : 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 : n013.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 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 14 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f155,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',limit_ordinals) ).
fof(f176,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_limit_ordinals_are_ordinals_1) ).
fof(f291,plain,
member(not_subclass_element(limit_ordinals,ordinal_numbers),limit_ordinals),
inference(resolution,[],[f2,f176]) ).
fof(f292,plain,
~ member(not_subclass_element(limit_ordinals,ordinal_numbers),ordinal_numbers),
inference(resolution,[],[f3,f176]) ).
fof(f297,plain,
! [X0] :
( ~ member(X0,limit_ordinals)
| member(X0,ordinal_numbers) ),
inference(superposition,[],[f22,f155]) ).
fof(f298,plain,
member(not_subclass_element(limit_ordinals,ordinal_numbers),ordinal_numbers),
inference(resolution,[],[f297,f291]) ).
fof(f309,plain,
$false,
inference(forward_subsumption_resolution,[],[f298,f292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n013.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 : Sun Sep 27 19:05:36 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.16/0.47 % (494706)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (494713)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=865559577:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (494712)% WARNING: option uhcvi not known.
% 0.16/0.47 % (494711)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1181786210_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (494715)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1615833547:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (494712)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=603003984:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (494714)dis+10_1_sil=32000:sp=arity:random_seed=3460614016:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (494717)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4281766475:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (494716)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4027675507:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (494715) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-494706-494715"...
% 0.16/0.47 % (494715)...printing done.
% 0.16/0.47 % (494715)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (494715)------------------------------
% 0.16/0.47 % (494715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (494715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (494715)CaDiCaL version: 2.1.3
% 0.16/0.47 % (494715)Termination reason: Refutation
% 0.16/0.47 % (494715)Time elapsed: 0.009 s
% 0.16/0.47 % (494715)Peak memory usage: 12 MB
% 0.16/0.47 % (494715)Instructions burned: 15 (million)
% 0.16/0.47 % (494706)Success in time 0.052 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------