%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:47:16 PM UTC 2026
% Result : Theorem 3.33s 1.35s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0,X1] :
( element(X1,finite_subsets(X0))
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_finsub_1) ).
fof(f31,conjecture,
! [X0,X1] :
( element(X1,finite_subsets(X0))
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_finsub_1) ).
fof(f32,negated_conjecture,
~ ! [X0,X1] :
( element(X1,finite_subsets(X0))
=> finite(X1) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f59,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,finite_subsets(X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f63,plain,
? [X0,X1] :
( ~ finite(X1)
& element(X1,finite_subsets(X0)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f74,plain,
( ~ finite(sK11)
& element(sK11,finite_subsets(sK10)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f63]) ).
fof(f102,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,finite_subsets(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f124,plain,
element(sK11,finite_subsets(sK10)),
inference(cnf_transformation,[],[f74]) ).
fof(f125,plain,
~ finite(sK11),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
! [X0] : ~ element(sK11,finite_subsets(X0)),
inference(resolution,[],[f102,f125]) ).
fof(f132,plain,
$false,
inference(resolution,[],[f131,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:34:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/1.35 % (410179)Detected formulas, will run a generic FOF schedule.
% 3.33/1.35 % (410185)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=12014059:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.33/1.35 % (410186)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=754096747:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.33/1.35 % (410189)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3604695805:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.33/1.35 % (410189)First to succeed.
% 3.33/1.35 % (410189)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-410179"
% 3.33/1.35 % (410184)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3617618362:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.33/1.35 % (410188)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1108979269:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.33/1.35 % (410187)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2770962723:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.33/1.35 % (410188)Also succeeded, but the first one will report.
% 3.33/1.35 % (410187)Also succeeded, but the first one will report.
% 3.33/1.35 % (410190)dis-21_1_sil=8000:lcm=predicate:random_seed=2485562524:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.33/1.35 % (410190)Also succeeded, but the first one will report.
% 3.33/1.35 % (410189)Refutation found. Thanks to Tanya!
% 3.33/1.35 % SZS status Theorem for theBenchmark
% 3.33/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.33/1.35 % (410189)------------------------------
% 3.33/1.35 % (410189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (410189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (410189)CaDiCaL version: 2.1.3
% 3.33/1.35 % (410189)Termination reason: Refutation
% 3.33/1.35 % (410189)Time elapsed: 0.003 s
% 3.33/1.35 % (410189)Peak memory usage: 89 MB
% 3.33/1.35 % (410189)Instructions burned: 2 (million)
% 3.33/1.35 % (410189)------------------------------
% 3.33/1.35 % (410189)------------------------------
% 3.33/1.35 % (410179)Success in time 0.401 s
% 3.33/1.35 % Vampire exiting
%------------------------------------------------------------------------------