TSTP Solution File: NUM505+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM505+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 01:42:48 EDT 2024
% Result : Theorem 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 100 ( 26 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 121 ( 51 ~; 38 |; 26 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f345,plain,
$false,
inference(avatar_sat_refutation,[],[f323,f338,f344]) ).
fof(f344,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| ~ spl16_1
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f342,f339]) ).
fof(f339,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl16_1 ),
inference(superposition,[],[f237,f318]) ).
fof(f318,plain,
( xp = xk
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl16_1
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f237,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( ( ~ sdtlseqdt0(xk,xp)
& ! [X0] :
( xp != sdtpldt0(xk,X0)
| ~ aNaturalNumber0(X0) ) )
| xp = xk )
& ~ sdtlseqdt0(xp,xk)
& ! [X1] :
( xk != sdtpldt0(xp,X1)
| ~ aNaturalNumber0(X1) ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ( ( ~ sdtlseqdt0(xk,xp)
& ! [X1] :
( xp != sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ) )
| xp = xk )
& ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( sdtpldt0(xp,X0) != xk
| ~ aNaturalNumber0(X0) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
( ( ( ~ sdtlseqdt0(xk,xp)
& ! [X1] :
( xp != sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ) )
| xp = xk )
& ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( sdtpldt0(xp,X0) != xk
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
~ ( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X1] :
( xp = sdtpldt0(xk,X1)
& aNaturalNumber0(X1) ) )
& xp != xk ) ),
inference(rectify,[],[f51]) ).
fof(f51,negated_conjecture,
~ ( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X0] :
( xp = sdtpldt0(xk,X0)
& aNaturalNumber0(X0) ) )
& xp != xk ) ),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X0] :
( xp = sdtpldt0(xk,X0)
& aNaturalNumber0(X0) ) )
& xp != xk ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f342,plain,
( sdtlseqdt0(xp,xp)
| ~ spl16_1
| ~ spl16_2 ),
inference(superposition,[],[f321,f318]) ).
fof(f321,plain,
( sdtlseqdt0(xk,xp)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl16_2
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f338,plain,
spl16_2,
inference(avatar_split_clause,[],[f337,f320]) ).
fof(f337,plain,
sdtlseqdt0(xk,xp),
inference(subsumption_resolution,[],[f336,f215]) ).
fof(f215,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f336,plain,
( sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xk) ),
inference(subsumption_resolution,[],[f329,f178]) ).
fof(f178,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f329,plain,
( sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f237,f294]) ).
fof(f294,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f323,plain,
( spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f239,f320,f316]) ).
fof(f239,plain,
( ~ sdtlseqdt0(xk,xp)
| xp = xk ),
inference(cnf_transformation,[],[f158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM505+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 06:55:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73 % (6979)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.53/0.73 % (6972)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.73 % (6974)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.73 % (6973)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.53/0.73 % (6975)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.73 % (6976)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.73 % (6977)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.73 % (6978)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.53/0.74 % (6977)First to succeed.
% 0.53/0.74 % (6977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6971"
% 0.53/0.74 % (6977)Refutation found. Thanks to Tanya!
% 0.53/0.74 % SZS status Theorem for theBenchmark
% 0.53/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.74 % (6977)------------------------------
% 0.53/0.74 % (6977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (6977)Termination reason: Refutation
% 0.53/0.74
% 0.53/0.74 % (6977)Memory used [KB]: 1168
% 0.53/0.74 % (6977)Time elapsed: 0.007 s
% 0.53/0.74 % (6977)Instructions burned: 10 (million)
% 0.53/0.74 % (6971)Success in time 0.371 s
% 0.53/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------