%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV063+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:08:02 PM UTC 2026
% Result : Theorem 3.38s 1.15s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 58 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 58 ( 23 ~; 13 |; 20 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0004) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f90,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f94,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv43)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv43,minus(n5,n1)) )
& leq(n0,pv10)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv43)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv43,minus(n5,n1)) )
& leq(n0,pv10)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1)) ),
inference(flattening,[],[f94]) ).
fof(f108,plain,
leq(pv43,minus(n5,n1)),
inference(cnf_transformation,[],[f95]) ).
fof(f109,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f95]) ).
fof(f110,plain,
leq(n0,pv43),
inference(cnf_transformation,[],[f95]) ).
fof(f111,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f95]) ).
fof(f112,plain,
( ~ leq(n0,pv10)
| ~ leq(n0,pv43)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv43,minus(n5,n1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f118,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f121,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f137,plain,
leq(pv43,minus(n5,succ(n0))),
inference(forward_demodulation,[],[f108,f118]) ).
fof(f138,plain,
leq(pv10,minus(n135300,succ(n0))),
inference(forward_demodulation,[],[f109,f118]) ).
fof(f139,plain,
( ~ leq(n0,pv43)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv43,minus(n5,n1)) ),
inference(forward_subsumption_resolution,[],[f112,f111]) ).
fof(f140,plain,
leq(pv43,minus(succ(succ(succ(succ(succ(n0))))),succ(n0))),
inference(forward_demodulation,[],[f137,f121]) ).
fof(f141,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv43,minus(n5,n1)) ),
inference(forward_subsumption_resolution,[],[f139,f110]) ).
fof(f142,plain,
( ~ leq(pv10,minus(n135300,succ(n0)))
| ~ leq(pv43,minus(n5,n1)) ),
inference(forward_demodulation,[],[f141,f118]) ).
fof(f143,plain,
~ leq(pv43,minus(n5,n1)),
inference(forward_subsumption_resolution,[],[f142,f138]) ).
fof(f144,plain,
~ leq(pv43,minus(n5,succ(n0))),
inference(forward_demodulation,[],[f143,f118]) ).
fof(f145,plain,
~ leq(pv43,minus(succ(succ(succ(succ(succ(n0))))),succ(n0))),
inference(forward_demodulation,[],[f144,f121]) ).
fof(f146,plain,
$false,
inference(forward_subsumption_resolution,[],[f145,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV063+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n003.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 09:50:42 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 3.38/1.15 % (1478451)Detected formulas, will run a generic FOF schedule.
% 3.38/1.15 % (1478458)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=483676618:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.38/1.15 % (1478459)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3264108718:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.38/1.15 % (1478459)First to succeed.
% 3.38/1.15 % (1478459)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1478451"
% 3.38/1.15 % (1478456)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=2455070452:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.38/1.15 % (1478457)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=425673646:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.38/1.15 % (1478461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3234701972:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.38/1.15 % (1478462)dis-21_1_sil=8000:lcm=predicate:random_seed=2159788271: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)
% 3.38/1.15 % (1478460)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1074380378:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.38/1.15 % (1478460)Also succeeded, but the first one will report.
% 3.38/1.15 % (1478462)Also succeeded, but the first one will report.
% 3.38/1.15 % (1478461)Also succeeded, but the first one will report.
% 3.38/1.15 % (1478459)Refutation found. Thanks to Tanya!
% 3.38/1.15 % SZS status Theorem for theBenchmark
% 3.38/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/1.15 % (1478459)------------------------------
% 3.38/1.15 % (1478459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.15 % (1478459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.15 % (1478459)CaDiCaL version: 2.1.3
% 3.38/1.15 % (1478459)Termination reason: Refutation
% 3.38/1.15 % (1478459)Time elapsed: 0.003 s
% 3.38/1.15 % (1478459)Peak memory usage: 88 MB
% 3.38/1.15 % (1478459)Instructions burned: 2 (million)
% 3.38/1.15 % (1478459)------------------------------
% 3.38/1.15 % (1478459)------------------------------
% 3.38/1.15 % (1478451)Success in time 0.403 s
% 3.38/1.15 % Vampire exiting
%------------------------------------------------------------------------------