%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:15:33 PM UTC 2026
% Result : ContradictoryAxioms 1.85s 1.40s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
fof(f52,axiom,
~ doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
~ doDivides0(xr,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
fof(f161,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(cnf_transformation,[],[f51]) ).
fof(f162,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f163,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f53]) ).
fof(f243,plain,
doDivides0(xr,xm),
inference(forward_subsumption_resolution,[],[f161,f162]) ).
fof(f244,plain,
$false,
inference(forward_subsumption_resolution,[],[f243,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n020.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 20:19:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.85/1.40 % (3715486)Detected formulas, will run a generic FOF schedule.
% 1.85/1.40 % (3715493)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=1634627972:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.85/1.40 % (3715494)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=609933438:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.85/1.40 % (3715497)dis-21_1_sil=8000:lcm=predicate:random_seed=3673328231: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)
% 1.85/1.40 % (3715496)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3346563304:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.85/1.40 % (3715492)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=1071707130:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.85/1.40 % (3715495)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1634633616:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.85/1.40 % (3715491)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=2840684291:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.85/1.40 % (3715495)First to succeed.
% 1.85/1.40 % (3715495)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3715486"
% 1.85/1.40 % (3715497)Also succeeded, but the first one will report.
% 1.85/1.40 % (3715496)Also succeeded, but the first one will report.
% 1.85/1.40 % (3715494)Also succeeded, but the first one will report.
% 1.85/1.40 % (3715495)Refutation found. Thanks to Tanya!
% 1.85/1.40 % SZS status ContradictoryAxioms for theBenchmark
% 1.85/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/1.40 % (3715495)------------------------------
% 1.85/1.40 % (3715495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.85/1.40 % (3715495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/1.40 % (3715495)CaDiCaL version: 2.1.3
% 1.85/1.40 % (3715495)Termination reason: Refutation
% 1.85/1.40 % (3715495)Time elapsed: 0.003 s
% 1.85/1.40 % (3715495)Peak memory usage: 88 MB
% 1.85/1.40 % (3715495)Instructions burned: 3 (million)
% 1.85/1.40 % (3715495)------------------------------
% 1.85/1.40 % (3715495)------------------------------
% 1.85/1.40 % (3715486)Success in time 0.438 s
% 1.85/1.40 % Vampire exiting
%------------------------------------------------------------------------------