%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM489+3 : TPTP v9.3.1. Released v4.0.0.
% 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 12:15:25 PM UTC 2026
% Result : Theorem 4.84s 1.92s
% Output : Refutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 9 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,axiom,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f45,conjecture,
xn = sdtpldt0(xp,xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f46,negated_conjecture,
xn != sdtpldt0(xp,xr),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f51,plain,
xn != sdtpldt0(xp,xr),
inference(flattening,[],[f46]) ).
fof(f248,plain,
xn = sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f43]) ).
fof(f254,plain,
xn != sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f51]) ).
fof(f288,plain,
$false,
inference(forward_subsumption_resolution,[],[f248,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM489+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n006.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 27 20:09:40 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 4.84/1.92 % (3283968)Detected formulas, will run a generic FOF schedule.
% 4.84/1.92 % (3283974)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=72560775:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.84/1.92 % (3283978)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1716645266:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.84/1.92 % (3283978)First to succeed.
% 4.84/1.92 % (3283978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3283968"
% 4.84/1.92 % (3283973)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=2154662718:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.84/1.92 % (3283976)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3770373257:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.84/1.92 % (3283975)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=2010501450:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.84/1.92 % (3283976)Also succeeded, but the first one will report.
% 4.84/1.92 % (3283977)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1825853194:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.84/1.92 % (3283979)dis-21_1_sil=8000:lcm=predicate:random_seed=934335288: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)
% 4.84/1.92 % (3283977)Also succeeded, but the first one will report.
% 4.84/1.92 % (3283979)Also succeeded, but the first one will report.
% 4.84/1.92 % (3283978)Refutation found. Thanks to Tanya!
% 4.84/1.92 % SZS status Theorem for theBenchmark
% 4.84/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 4.84/1.92 % (3283978)------------------------------
% 4.84/1.92 % (3283978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.92 % (3283978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.92 % (3283978)CaDiCaL version: 2.1.3
% 4.84/1.92 % (3283978)Termination reason: Refutation
% 4.84/1.92 % (3283978)Time elapsed: 0.005 s
% 4.84/1.92 % (3283978)Peak memory usage: 89 MB
% 4.84/1.92 % (3283978)Instructions burned: 5 (million)
% 4.84/1.92 % (3283978)------------------------------
% 4.84/1.92 % (3283978)------------------------------
% 4.84/1.92 % (3283968)Success in time 0.556 s
% 4.84/1.92 % Vampire exiting
%------------------------------------------------------------------------------