%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM625+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 : n026.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 : ContradictoryAxioms 3.49s 1.49s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 18 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 12 ( 3 ~; 1 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,axiom,
( aElementOf0(xp,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f113,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(f120,axiom,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5496) ).
fof(f180,plain,
( aElementOf0(xp,xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& xp = szmzizndt0(xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f708,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f180]) ).
fof(f734,plain,
szmzizndt0(xQ) != xx,
inference(cnf_transformation,[],[f113]) ).
fof(f750,plain,
xp = xx,
inference(cnf_transformation,[],[f120]) ).
fof(f870,plain,
szmzizndt0(xQ) = xx,
inference(definition_unfolding,[],[f708,f750]) ).
fof(f923,plain,
$false,
inference(forward_subsumption_resolution,[],[f870,f734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n026.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:52:42 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 3.49/1.49 % (3192346)Detected formulas, will run a generic FOF schedule.
% 3.49/1.49 % (3192351)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=3826645005:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.49 % (3192355)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=817592493:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.49 % (3192352)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=2704421533:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.49 % (3192354)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3999984658:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.49 % (3192353)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=277429764:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.49 % (3192356)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3589910494:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.49 % (3192355)First to succeed.
% 3.49/1.49 % (3192357)dis-21_1_sil=8000:lcm=predicate:random_seed=2504902899: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)
% 3.49/1.49 % (3192355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3192346"
% 3.49/1.49 % (3192356)Also succeeded, but the first one will report.
% 3.49/1.49 % (3192357)Also succeeded, but the first one will report.
% 3.49/1.49 % (3192354)Also succeeded, but the first one will report.
% 3.49/1.49 % (3192355)Refutation found. Thanks to Tanya!
% 3.49/1.49 % SZS status ContradictoryAxioms for theBenchmark
% 3.49/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.49 % (3192355)------------------------------
% 3.49/1.49 % (3192355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.49 % (3192355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.49 % (3192355)CaDiCaL version: 2.1.3
% 3.49/1.49 % (3192355)Termination reason: Refutation
% 3.49/1.49 % (3192355)Time elapsed: 0.011 s
% 3.49/1.49 % (3192355)Peak memory usage: 89 MB
% 3.49/1.49 % (3192355)Instructions burned: 19 (million)
% 3.49/1.49 % (3192355)------------------------------
% 3.49/1.49 % (3192355)------------------------------
% 3.49/1.49 % (3192346)Success in time 0.421 s
% 3.49/1.49 % Vampire exiting
%------------------------------------------------------------------------------