%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM604+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 12:15:57 PM UTC 2026
% Result : Theorem 3.47s 1.26s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 37 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 29 ( 9 ~; 6 |; 11 &)
% ( 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 : 9 ( 9 usr; 6 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/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f99,axiom,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xe,xi) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).
fof(f100,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).
fof(f101,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f102,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f115,plain,
~ aElementOf0(xx,xS),
inference(flattening,[],[f102]) ).
fof(f146,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(f151,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(ennf_transformation,[],[f100]) ).
fof(f612,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f654,plain,
xx = sdtlpdtrp0(xe,xi),
inference(cnf_transformation,[],[f99]) ).
fof(f655,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f99]) ).
fof(f657,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f151]) ).
fof(f658,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f115]) ).
fof(f1011,plain,
( ~ aElementOf0(xi,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
inference(resolution,[],[f612,f657]) ).
fof(f1022,plain,
aElementOf0(sdtlpdtrp0(xe,xi),xS),
inference(forward_subsumption_resolution,[],[f1011,f655]) ).
fof(f1023,plain,
aElementOf0(xx,xS),
inference(forward_demodulation,[],[f1022,f654]) ).
fof(f1024,plain,
$false,
inference(forward_subsumption_resolution,[],[f1023,f658]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.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 20:44:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.47/1.26 % (3728653)Detected formulas, will run a generic FOF schedule.
% 3.47/1.26 % (3728660)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=2592292590:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.26 % (3728662)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1521211955:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.26 % (3728663)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=990293704:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.26 % (3728661)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3423390640:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.26 % (3728658)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=2999623553:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.26 % (3728659)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=374091378:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.26 % (3728664)dis-21_1_sil=8000:lcm=predicate:random_seed=389157276: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)
% 3.47/1.26 % (3728662)First to succeed.
% 3.47/1.26 % (3728662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3728653"
% 3.47/1.26 % (3728663)Also succeeded, but the first one will report.
% 3.47/1.26 % (3728661)Also succeeded, but the first one will report.
% 3.47/1.26 % (3728664)Instruction limit reached!
% 3.47/1.26 % (3728664)------------------------------
% 3.47/1.26 % (3728664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (3728664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (3728664)CaDiCaL version: 2.1.3
% 3.47/1.26 % (3728664)Termination reason: Instruction limit
% 3.47/1.26 % (3728664)Termination phase: Saturation
% 3.47/1.26 % (3728664)Time elapsed: 0.067 s
% 3.47/1.26 % (3728664)Peak memory usage: 90 MB
% 3.47/1.26 % (3728664)Instructions burned: 129 (million)
% 3.47/1.26 % (3728672)lrs+10_1_sil=8000:sp=occurrence:random_seed=2940542130:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.47/1.26 % (3728672)Also succeeded, but the first one will report.
% 3.47/1.26 % (3728662)Refutation found. Thanks to Tanya!
% 3.47/1.26 % SZS status Theorem for theBenchmark
% 3.47/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.26 % (3728662)------------------------------
% 3.47/1.26 % (3728662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (3728662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (3728662)CaDiCaL version: 2.1.3
% 3.47/1.26 % (3728662)Termination reason: Refutation
% 3.47/1.26 % (3728662)Time elapsed: 0.016 s
% 3.47/1.26 % (3728662)Peak memory usage: 89 MB
% 3.47/1.26 % (3728662)Instructions burned: 25 (million)
% 3.47/1.26 % (3728662)------------------------------
% 3.47/1.26 % (3728662)------------------------------
% 3.47/1.26 % (3728653)Success in time 0.444 s
% 3.47/1.26 % Vampire exiting
%------------------------------------------------------------------------------