TSTP Solution File: NUM520+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM520+1 : 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 : n019.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 02:06:21 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 20 unt; 0 def)
% Number of atoms : 45 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 21 ~; 5 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(global_subsumption,[],[f145,f144,f146,f147,f148,f150,f149,f153,f152,f151,f157,f156,f155,f154,f158,f160,f159]) ).
fof(f159,plain,
sz00 != xk,
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( sz10 != xk
& sz00 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( sz10 = xk
| sz00 = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(f160,plain,
sz10 != xk,
inference(cnf_transformation,[],[f54]) ).
fof(f158,plain,
( sz10 = xk
| sz00 = xk ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( sz10 = xk
| sz00 = xk ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
~ ( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f154,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f155,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f156,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f157,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f151,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f152,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f153,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f149,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f150,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f148,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f147,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f146,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f144,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f145,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM520+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 03:50:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (16841)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (16844)WARNING: value z3 for option sas not known
% 0.14/0.38 % (16842)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (16843)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (16845)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (16846)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)
% 0.14/0.38 % (16847)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)
% 0.14/0.38 % (16848)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)
% 0.14/0.38 % (16844)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (16844)First to succeed.
% 0.14/0.38 % (16844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16841"
% 0.14/0.38 % (16847)Also succeeded, but the first one will report.
% 0.14/0.38 % (16846)Also succeeded, but the first one will report.
% 0.14/0.38 Detected minimum model sizes of [3]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 Detected minimum model sizes of [3]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.39 % (16848)Also succeeded, but the first one will report.
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (16844)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (16844)------------------------------
% 0.14/0.39 % (16844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (16844)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (16844)Memory used [KB]: 904
% 0.14/0.39 % (16844)Time elapsed: 0.007 s
% 0.14/0.39 % (16844)Instructions burned: 7 (million)
% 0.14/0.39 % (16841)Success in time 0.024 s
%------------------------------------------------------------------------------