%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV075+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 : n006.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 01:08:03 PM UTC 2026
% Result : Theorem 2.69s 1.16s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 59 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 24 ~; 14 |; 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,pv31)
& leq(n0,pv37)
& leq(pv31,minus(n5,n1))
& leq(pv37,minus(n135300,n1)) )
=> ( leq(n0,pv31)
& leq(n0,pv37)
& leq(pv31,minus(n5,n1))
& leq(pv37,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0016) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv31)
& leq(n0,pv37)
& leq(pv31,minus(n5,n1))
& leq(pv37,minus(n135300,n1)) )
=> ( leq(n0,pv31)
& leq(n0,pv37)
& leq(pv31,minus(n5,n1))
& leq(pv37,minus(n135300,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,pv31)
| ~ leq(n0,pv37)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv37,minus(n135300,n1)) )
& leq(n0,pv31)
& leq(n0,pv37)
& leq(pv31,minus(n5,n1))
& leq(pv37,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ( ~ leq(n0,pv31)
| ~ leq(n0,pv37)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv37,minus(n135300,n1)) )
& leq(n0,pv31)
& leq(n0,pv37)
& leq(pv31,minus(n5,n1))
& leq(pv37,minus(n135300,n1)) ),
inference(flattening,[],[f94]) ).
fof(f108,plain,
leq(pv37,minus(n135300,n1)),
inference(cnf_transformation,[],[f95]) ).
fof(f109,plain,
leq(pv31,minus(n5,n1)),
inference(cnf_transformation,[],[f95]) ).
fof(f110,plain,
leq(n0,pv37),
inference(cnf_transformation,[],[f95]) ).
fof(f111,plain,
leq(n0,pv31),
inference(cnf_transformation,[],[f95]) ).
fof(f112,plain,
( ~ leq(n0,pv31)
| ~ leq(n0,pv37)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv37,minus(n135300,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(pv37,minus(n135300,succ(n0))),
inference(forward_demodulation,[],[f108,f118]) ).
fof(f138,plain,
leq(pv31,minus(n5,succ(n0))),
inference(forward_demodulation,[],[f109,f118]) ).
fof(f139,plain,
( ~ leq(n0,pv37)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(pv37,minus(n135300,n1)) ),
inference(forward_subsumption_resolution,[],[f112,f111]) ).
fof(f140,plain,
leq(pv31,minus(succ(succ(succ(succ(succ(n0))))),succ(n0))),
inference(forward_demodulation,[],[f138,f121]) ).
fof(f141,plain,
( ~ leq(pv31,minus(n5,n1))
| ~ leq(pv37,minus(n135300,n1)) ),
inference(forward_subsumption_resolution,[],[f139,f110]) ).
fof(f142,plain,
( ~ leq(pv31,minus(n5,succ(n0)))
| ~ leq(pv37,minus(n135300,n1)) ),
inference(forward_demodulation,[],[f141,f118]) ).
fof(f143,plain,
( ~ leq(pv31,minus(succ(succ(succ(succ(succ(n0))))),succ(n0)))
| ~ leq(pv37,minus(n135300,n1)) ),
inference(forward_demodulation,[],[f142,f121]) ).
fof(f144,plain,
~ leq(pv37,minus(n135300,n1)),
inference(forward_subsumption_resolution,[],[f143,f140]) ).
fof(f145,plain,
~ leq(pv37,minus(n135300,succ(n0))),
inference(forward_demodulation,[],[f144,f118]) ).
fof(f146,plain,
$false,
inference(forward_subsumption_resolution,[],[f145,f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV075+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n006.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:49:25 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 2.69/1.16 % (3854732)Detected formulas, will run a generic FOF schedule.
% 2.69/1.16 % (3854740)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4234573822:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.16 % (3854740)First to succeed.
% 2.69/1.16 % (3854740)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3854732"
% 2.69/1.16 % (3854742)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1434394317:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.16 % (3854741)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=430601174:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.16 % (3854738)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=3603275543:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.16 % (3854743)dis-21_1_sil=8000:lcm=predicate:random_seed=1156280373: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)
% 2.69/1.16 % (3854739)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=1830382285:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.16 % (3854737)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=1126035462:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.16 % (3854741)Also succeeded, but the first one will report.
% 2.69/1.16 % (3854743)Also succeeded, but the first one will report.
% 2.69/1.16 % (3854742)Also succeeded, but the first one will report.
% 2.69/1.16 % (3854740)Refutation found. Thanks to Tanya!
% 2.69/1.16 % SZS status Theorem for theBenchmark
% 2.69/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.16 % (3854740)------------------------------
% 2.69/1.16 % (3854740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.16 % (3854740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.16 % (3854740)CaDiCaL version: 2.1.3
% 2.69/1.16 % (3854740)Termination reason: Refutation
% 2.69/1.16 % (3854740)Time elapsed: 0.001 s
% 2.69/1.16 % (3854740)Peak memory usage: 88 MB
% 2.69/1.16 % (3854740)Instructions burned: 2 (million)
% 2.69/1.16 % (3854740)------------------------------
% 2.69/1.16 % (3854740)------------------------------
% 2.69/1.16 % (3854732)Success in time 0.293 s
% 2.69/1.16 % Vampire exiting
%------------------------------------------------------------------------------