%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM620+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 : n003.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 12:16:01 PM UTC 2026
% Result : Theorem 3.84s 1.51s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 44 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 39 ( 11 ~; 7 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 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(f115,axiom,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
fof(f117,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f118,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f263,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(f279,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(ennf_transformation,[],[f118]) ).
fof(f280,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(flattening,[],[f279]) ).
fof(f817,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f905,plain,
xx = sdtlpdtrp0(xe,xm),
inference(cnf_transformation,[],[f115]) ).
fof(f906,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f909,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cnf_transformation,[],[f280]) ).
fof(f910,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f280]) ).
fof(f1033,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(resolution,[],[f817,f909]) ).
fof(f1063,plain,
aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(forward_subsumption_resolution,[],[f1033,f906]) ).
fof(f1064,plain,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(forward_demodulation,[],[f1063,f905]) ).
fof(f1065,plain,
$false,
inference(forward_subsumption_resolution,[],[f1064,f910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:49:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.84/1.51 % (905876)Detected formulas, will run a generic FOF schedule.
% 3.84/1.51 % (905882)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=2980501093:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.84/1.51 % (905883)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=1954908778:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.84/1.51 % (905884)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=124336049:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.84/1.51 % (905881)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=938292249:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.84/1.51 % (905885)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2293003510:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.84/1.51 % (905886)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3467247939:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.84/1.51 % (905887)dis-21_1_sil=8000:lcm=predicate:random_seed=3614943174: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)
% 3.84/1.51 % (905886)First to succeed.
% 3.84/1.51 % (905886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-905876"
% 3.84/1.51 % (905885)Also succeeded, but the first one will report.
% 3.84/1.51 % (905884)Instruction limit reached!
% 3.84/1.51 % (905884)------------------------------
% 3.84/1.51 % (905884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.51 % (905884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.51 % (905884)CaDiCaL version: 2.1.3
% 3.84/1.51 % (905884)Termination reason: Instruction limit
% 3.84/1.51 % (905884)Termination phase: Saturation
% 3.84/1.51 % (905884)Time elapsed: 0.069 s
% 3.84/1.51 % (905884)Peak memory usage: 90 MB
% 3.84/1.51 % (905884)Instructions burned: 109 (million)
% 3.84/1.51 % (905887)Instruction limit reached!
% 3.84/1.51 % (905887)------------------------------
% 3.84/1.51 % (905887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.51 % (905887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.51 % (905887)CaDiCaL version: 2.1.3
% 3.84/1.51 % (905887)Termination reason: Instruction limit
% 3.84/1.51 % (905887)Termination phase: Saturation
% 3.84/1.51 % (905887)Time elapsed: 0.069 s
% 3.84/1.51 % (905887)Peak memory usage: 90 MB
% 3.84/1.51 % (905887)Instructions burned: 129 (million)
% 3.84/1.51 % (905895)lrs+10_1_sil=8000:sp=occurrence:random_seed=715809710:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.84/1.51 % (905896)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2488669537:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.84/1.51 % (905895)Also succeeded, but the first one will report.
% 3.84/1.51 % (905896)Refutation not found, incomplete strategy
% 3.84/1.51 % (905896)------------------------------
% 3.84/1.51 % (905896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.51 % (905896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.51 % (905896)CaDiCaL version: 2.1.3
% 3.84/1.51 % (905896)Termination reason: Refutation not found, incomplete strategy
% 3.84/1.51 % (905896)Time elapsed: 0.006 s
% 3.84/1.51 % (905896)Peak memory usage: 89 MB
% 3.84/1.51 % (905896)Instructions burned: 7 (million)
% 3.84/1.51 % (905886)Refutation found. Thanks to Tanya!
% 3.84/1.51 % SZS status Theorem for theBenchmark
% 3.84/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.51 % (905886)------------------------------
% 3.84/1.51 % (905886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.51 % (905886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.51 % (905886)CaDiCaL version: 2.1.3
% 3.84/1.51 % (905886)Termination reason: Refutation
% 3.84/1.51 % (905886)Time elapsed: 0.018 s
% 3.84/1.51 % (905886)Peak memory usage: 89 MB
% 3.84/1.51 % (905886)Instructions burned: 29 (million)
% 3.84/1.51 % (905886)------------------------------
% 3.84/1.51 % (905886)------------------------------
% 3.84/1.51 % (905876)Success in time 0.461 s
% 3.84/1.51 % Vampire exiting
%------------------------------------------------------------------------------