TSTP Solution File: NUM464+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM464+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Sun May 5 08:28:46 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 71 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 31 ~; 25 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(trivial_inequality_removal,[],[f229]) ).
fof(f229,plain,
sz00 != sz00,
inference(superposition,[],[f81,f214]) ).
fof(f214,plain,
sz00 = xm,
inference(resolution,[],[f213,f86]) ).
fof(f86,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f213,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = xm ),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f207,plain,
( sz10 != sz10
| ~ aNaturalNumber0(sz00)
| sz00 = xm ),
inference(superposition,[],[f154,f199]) ).
fof(f199,plain,
( sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f198,f84]) ).
fof(f84,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
fof(f198,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| sz10 = xm ),
inference(resolution,[],[f97,f83]) ).
fof(f83,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ sdtlseqdt0(sz10,xm)
& ! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
& sz00 != xm ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
( ~ sdtlseqdt0(sz10,xm)
& ! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
& sz00 != xm ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( xm = sdtpldt0(sz10,X0)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
( sz00 != xm
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( xm = sdtpldt0(sz10,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f97,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f154,plain,
( sz10 != xm
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f82,f147]) ).
fof(f147,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f92,f87]) ).
fof(f87,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f92,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f82,plain,
! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
sz00 != xm,
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM464+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:12:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (31374)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (31381)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)
% 0.11/0.34 % (31377)WARNING: value z3 for option sas not known
% 0.11/0.34 % (31376)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (31378)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (31375)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (31377)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)
% 0.11/0.34 % (31379)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)
% 0.11/0.34 % (31380)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (31380)First to succeed.
% 0.11/0.35 % (31377)Also succeeded, but the first one will report.
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (31380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31374"
% 0.11/0.35 % (31380)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (31380)------------------------------
% 0.11/0.35 % (31380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (31380)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (31380)Memory used [KB]: 923
% 0.11/0.35 % (31380)Time elapsed: 0.007 s
% 0.11/0.35 % (31380)Instructions burned: 10 (million)
% 0.11/0.35 % (31374)Success in time 0.022 s
%------------------------------------------------------------------------------