%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM632+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 : 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 12:16:04 PM UTC 2026
% Result : Theorem 2.59s 1.32s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 9 unt; 0 def)
% Number of atoms : 14 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(f114,axiom,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5568) ).
fof(f115,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f132,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(flattening,[],[f116]) ).
fof(f720,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xd,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f725,plain,
sdtlpdtrp0(xd,xn) = sdtlpdtrp0(xc,xQ),
inference(cnf_transformation,[],[f114]) ).
fof(f726,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(cnf_transformation,[],[f132]) ).
fof(f973,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xc,xQ),
inference(forward_demodulation,[],[f725,f720]) ).
fof(f974,plain,
$false,
inference(forward_subsumption_resolution,[],[f973,f726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:52:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.59/1.32 % (3732043)Detected formulas, will run a generic FOF schedule.
% 2.59/1.32 % (3732052)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3120425704:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.59/1.32 % (3732052)First to succeed.
% 2.59/1.32 % (3732052)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3732043"
% 2.59/1.32 % (3732049)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=1333116018:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.59/1.32 % (3732054)dis-21_1_sil=8000:lcm=predicate:random_seed=3351078062: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)
% 2.59/1.32 % (3732048)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=1269959922:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.59/1.32 % (3732051)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1147645684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.59/1.32 % (3732050)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=895094569:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.59/1.32 % (3732053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3896669855:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.59/1.32 % (3732053)Also succeeded, but the first one will report.
% 2.59/1.32 % (3732051)Also succeeded, but the first one will report.
% 2.59/1.32 % (3732054)Instruction limit reached!
% 2.59/1.32 % (3732054)------------------------------
% 2.59/1.32 % (3732054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (3732054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (3732054)CaDiCaL version: 2.1.3
% 2.59/1.32 % (3732054)Termination reason: Instruction limit
% 2.59/1.32 % (3732054)Termination phase: Saturation
% 2.59/1.32 % (3732054)Time elapsed: 0.068 s
% 2.59/1.32 % (3732054)Peak memory usage: 90 MB
% 2.59/1.32 % (3732054)Instructions burned: 129 (million)
% 2.59/1.32 % (3732052)Refutation found. Thanks to Tanya!
% 2.59/1.32 % SZS status Theorem for theBenchmark
% 2.59/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.32 % (3732052)------------------------------
% 2.59/1.32 % (3732052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (3732052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (3732052)CaDiCaL version: 2.1.3
% 2.59/1.32 % (3732052)Termination reason: Refutation
% 2.59/1.32 % (3732052)Time elapsed: 0.008 s
% 2.59/1.32 % (3732052)Peak memory usage: 88 MB
% 2.59/1.32 % (3732052)Instructions burned: 22 (million)
% 2.59/1.32 % (3732052)------------------------------
% 2.59/1.32 % (3732052)------------------------------
% 2.59/1.32 % (3732043)Success in time 0.282 s
% 2.59/1.32 % Vampire exiting
%------------------------------------------------------------------------------