%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM622+3 : 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 : n016.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 12:16:02 PM UTC 2026
% Result : Theorem 2.79s 1.36s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 40 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 33 ( 10 ~; 6 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
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/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f118,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).
fof(f119,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f120,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(negated_conjecture,[status(cth)],[f119]) ).
fof(f136,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(flattening,[],[f120]) ).
fof(f167,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f184,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(ennf_transformation,[],[f118]) ).
fof(f650,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f725,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f726,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f745,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f746,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f136]) ).
fof(f1263,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f650,f725]) ).
fof(f1273,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(forward_subsumption_resolution,[],[f1263,f726]) ).
fof(f1308,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(resolution,[],[f745,f746]) ).
fof(f1411,plain,
$false,
inference(forward_subsumption_resolution,[],[f1273,f1308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM622+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:53:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.79/1.36 % (2977821)Detected formulas, will run a generic FOF schedule.
% 2.79/1.36 % (2977830)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=270087593:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.36 % (2977830)First to succeed.
% 2.79/1.36 % (2977830)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2977821"
% 2.79/1.36 % (2977828)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=3263138357:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.36 % (2977832)dis-21_1_sil=8000:lcm=predicate:random_seed=1332053781: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)
% 2.79/1.36 % (2977827)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=1149335529:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.36 % (2977826)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=3299521257:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.36 % (2977829)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4087611547:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.36 % (2977831)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1045335111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.36 % (2977831)Also succeeded, but the first one will report.
% 2.79/1.36 % (2977829)Instruction limit reached!
% 2.79/1.36 % (2977829)------------------------------
% 2.79/1.36 % (2977829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.36 % (2977829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.36 % (2977829)CaDiCaL version: 2.1.3
% 2.79/1.36 % (2977829)Termination reason: Instruction limit
% 2.79/1.36 % (2977829)Termination phase: Saturation
% 2.79/1.36 % (2977829)Time elapsed: 0.070 s
% 2.79/1.36 % (2977829)Peak memory usage: 90 MB
% 2.79/1.36 % (2977829)Instructions burned: 110 (million)
% 2.79/1.36 % (2977832)Instruction limit reached!
% 2.79/1.36 % (2977832)------------------------------
% 2.79/1.36 % (2977832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.36 % (2977832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.36 % (2977832)CaDiCaL version: 2.1.3
% 2.79/1.36 % (2977832)Termination reason: Instruction limit
% 2.79/1.36 % (2977832)Termination phase: Saturation
% 2.79/1.36 % (2977832)Time elapsed: 0.071 s
% 2.79/1.36 % (2977832)Peak memory usage: 90 MB
% 2.79/1.36 % (2977832)Instructions burned: 131 (million)
% 2.79/1.36 % (2977830)Refutation found. Thanks to Tanya!
% 2.79/1.36 % SZS status Theorem for theBenchmark
% 2.79/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.36 % (2977830)------------------------------
% 2.79/1.36 % (2977830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.36 % (2977830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.36 % (2977830)CaDiCaL version: 2.1.3
% 2.79/1.36 % (2977830)Termination reason: Refutation
% 2.79/1.36 % (2977830)Time elapsed: 0.012 s
% 2.79/1.36 % (2977830)Peak memory usage: 89 MB
% 2.79/1.36 % (2977830)Instructions burned: 34 (million)
% 2.79/1.36 % (2977830)------------------------------
% 2.79/1.36 % (2977830)------------------------------
% 2.79/1.36 % (2977821)Success in time 0.318 s
% 2.79/1.36 % Vampire exiting
%------------------------------------------------------------------------------