TSTP Solution File: NUM464+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM464+1 : 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 : n007.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 Apr 30 14:23:48 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 51 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 18 |; 6 &)
% ( 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(f227,plain,
$false,
inference(trivial_inequality_removal,[],[f226]) ).
fof(f226,plain,
sz00 != sz00,
inference(superposition,[],[f80,f213]) ).
fof(f213,plain,
sz00 = xm,
inference(resolution,[],[f210,f85]) ).
fof(f85,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f210,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = xm ),
inference(resolution,[],[f198,f87]) ).
fof(f87,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f198,plain,
( ~ sdtlseqdt0(sz10,sz10)
| sz00 = xm ),
inference(superposition,[],[f81,f196]) ).
fof(f196,plain,
( sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f195,f82]) ).
fof(f82,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f195,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| sz10 = xm ),
inference(resolution,[],[f95,f81]) ).
fof(f95,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f81,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ~ sdtlseqdt0(sz10,xm)
& sz00 != xm ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> sdtlseqdt0(sz10,xm) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
( sz00 != xm
=> sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f80,plain,
sz00 != xm,
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:09:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (671)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (673)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (674)WARNING: value z3 for option sas not known
% 0.13/0.37 % (675)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (679)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)
% 0.13/0.37 % (678)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)
% 0.13/0.37 % (674)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)
% 0.13/0.37 % (677)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (672)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (678)First to succeed.
% 0.13/0.38 % (674)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (678)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (678)------------------------------
% 0.13/0.38 % (678)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (678)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (678)Memory used [KB]: 922
% 0.13/0.38 % (678)Time elapsed: 0.007 s
% 0.13/0.38 % (678)Instructions burned: 10 (million)
% 0.13/0.38 % (678)------------------------------
% 0.13/0.38 % (678)------------------------------
% 0.13/0.38 % (671)Success in time 0.022 s
%------------------------------------------------------------------------------