%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM430+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 : n007.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 12:15:09 PM UTC 2026
% Result : Theorem 2.46s 1.21s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 38 ( 12 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 34 ( 8 ~; 3 |; 23 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 3 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(f25,conjecture,
? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,plain,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(rectify,[],[f23]) ).
fof(f29,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f57,plain,
( aInteger0(sK0)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK0)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aInteger0(sK1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f27]) ).
fof(f70,plain,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f71,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f78,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f110,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtasdt0(xq,sK1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f78,f70]) ).
fof(f112,plain,
~ aInteger0(sK1),
inference(equality_resolution,[],[f110]) ).
fof(f113,plain,
$false,
inference(forward_subsumption_resolution,[],[f112,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM430+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:51:25 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.46/1.21 % (1739684)Detected formulas, will run a generic FOF schedule.
% 2.46/1.21 % (1739740)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=838617588:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.46/1.21 % (1739740)First to succeed.
% 2.46/1.21 % (1739740)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1739684"
% 2.46/1.21 % (1739738)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=1396517217:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.46/1.21 % (1739736)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=3200773625:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.46/1.21 % (1739739)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3030837961:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.46/1.21 % (1739737)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=3053791242:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.46/1.21 % (1739742)dis-21_1_sil=8000:lcm=predicate:random_seed=510399419: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)
% 2.46/1.21 % (1739741)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2184168093:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.46/1.21 % (1739739)Also succeeded, but the first one will report.
% 2.46/1.21 % (1739742)Also succeeded, but the first one will report.
% 2.46/1.21 % (1739741)Also succeeded, but the first one will report.
% 2.46/1.21 % (1739740)Refutation found. Thanks to Tanya!
% 2.46/1.21 % SZS status Theorem for theBenchmark
% 2.46/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/1.21 % (1739740)------------------------------
% 2.46/1.21 % (1739740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.21 % (1739740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.21 % (1739740)CaDiCaL version: 2.1.3
% 2.46/1.21 % (1739740)Termination reason: Refutation
% 2.46/1.21 % (1739740)Time elapsed: 0.002 s
% 2.46/1.21 % (1739740)Peak memory usage: 88 MB
% 2.46/1.21 % (1739740)Instructions burned: 2 (million)
% 2.46/1.21 % (1739740)------------------------------
% 2.46/1.21 % (1739740)------------------------------
% 2.46/1.21 % (1739684)Success in time 0.267 s
% 2.46/1.21 % Vampire exiting
%------------------------------------------------------------------------------