TSTP Solution File: NUM514+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM514+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:05:59 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 33 ( 14 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 34 ( 12 ~; 6 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f417,plain,
$false,
inference(resolution,[],[f416,f252]) ).
fof(f252,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).
fof(f416,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(equality_resolution,[],[f392]) ).
fof(f392,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ aNaturalNumber0(X0) ),
inference(backward_demodulation,[],[f213,f256]) ).
fof(f256,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f213,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,negated_conjecture,
~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM514+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 06:52:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (26927)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26931)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (26934)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (26933)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38 % (26930)WARNING: value z3 for option sas not known
% 0.20/0.38 % (26932)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (26929)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (26928)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 Detected minimum model sizes of [4]
% 0.20/0.38 Detected maximum model sizes of [max]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 % (26933)First to succeed.
% 0.20/0.39 % (26933)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26927"
% 0.20/0.39 % (26933)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (26933)------------------------------
% 0.20/0.39 % (26933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (26933)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (26933)Memory used [KB]: 1027
% 0.20/0.39 % (26933)Time elapsed: 0.012 s
% 0.20/0.39 % (26933)Instructions burned: 16 (million)
% 0.20/0.39 % (26927)Success in time 0.039 s
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