%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM464+1 : 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 : 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 12:15:18 PM UTC 2026
% Result : Theorem 2.61s 1.33s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 45 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 16 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( xm != sz00
=> sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( xm != sz00
=> sdtlseqdt0(sz10,xm) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f31,plain,
( ~ sdtlseqdt0(sz10,xm)
& xm != sz00 ),
inference(ennf_transformation,[],[f29]) ).
fof(f35,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f36,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f35]) ).
fof(f46,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f76,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f77,plain,
sz00 != xm,
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f31]) ).
fof(f84,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f98,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f140,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f84,f78]) ).
fof(f141,plain,
( sz10 = xm
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f140,f77]) ).
fof(f142,plain,
sz10 = xm,
inference(forward_subsumption_resolution,[],[f141,f76]) ).
fof(f143,plain,
~ sdtlseqdt0(xm,xm),
inference(superposition,[],[f78,f142]) ).
fof(f149,plain,
~ aNaturalNumber0(xm),
inference(resolution,[],[f143,f98]) ).
fof(f152,plain,
$false,
inference(forward_subsumption_resolution,[],[f149,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM464+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n003.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 20:03:42 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 2.61/1.33 % (890077)Detected formulas, will run a generic FOF schedule.
% 2.61/1.33 % (890086)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1925621366:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.61/1.33 % (890086)First to succeed.
% 2.61/1.33 % (890086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-890077"
% 2.61/1.33 % (890084)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=2795507520:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.61/1.33 % (890083)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=2855213743:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.61/1.33 % (890082)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=738208074:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.61/1.33 % (890087)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3182485261:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.61/1.33 % (890087)Also succeeded, but the first one will report.
% 2.61/1.33 % (890085)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2271152335:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.61/1.33 % (890088)dis-21_1_sil=8000:lcm=predicate:random_seed=167796698: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)
% 2.61/1.33 % (890085)Also succeeded, but the first one will report.
% 2.61/1.33 % (890088)Instruction limit reached!
% 2.61/1.33 % (890088)------------------------------
% 2.61/1.33 % (890088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.33 % (890088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.33 % (890088)CaDiCaL version: 2.1.3
% 2.61/1.33 % (890088)Termination reason: Instruction limit
% 2.61/1.33 % (890088)Termination phase: Saturation
% 2.61/1.33 % (890088)Time elapsed: 0.080 s
% 2.61/1.33 % (890088)Peak memory usage: 90 MB
% 2.61/1.33 % (890088)Instructions burned: 130 (million)
% 2.61/1.33 % (890086)Refutation found. Thanks to Tanya!
% 2.61/1.33 % SZS status Theorem for theBenchmark
% 2.61/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.33 % (890086)------------------------------
% 2.61/1.33 % (890086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.33 % (890086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.33 % (890086)CaDiCaL version: 2.1.3
% 2.61/1.33 % (890086)Termination reason: Refutation
% 2.61/1.33 % (890086)Time elapsed: 0.002 s
% 2.61/1.33 % (890086)Peak memory usage: 88 MB
% 2.61/1.33 % (890086)Instructions burned: 3 (million)
% 2.61/1.33 % (890086)------------------------------
% 2.61/1.33 % (890086)------------------------------
% 2.61/1.33 % (890077)Success in time 0.284 s
% 2.61/1.33 % Vampire exiting
%------------------------------------------------------------------------------