TSTP Solution File: RNG070+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG070+2 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Wed May 1 03:41:41 EDT 2024
% Result : Theorem 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 12 unt; 1 typ; 0 def)
% Number of atoms : 169 ( 3 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 70 ( 31 ~; 30 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 94 ( 94 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 17 ( 16 !; 0 ?; 5 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ2_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f334,plain,
$false,
inference(avatar_sat_refutation,[],[f323,f327,f333]) ).
tff(f333,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f332]) ).
tff(f332,plain,
( $false
| spl3_8 ),
inference(subsumption_resolution,[],[f331,f156]) ).
tff(f156,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
tff(f52,axiom,
( ( xR = sdtasdt0(xC,xG) )
& aScalar0(xR) ),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__1892) ).
tff(f331,plain,
( ~ aScalar0(xR)
| spl3_8 ),
inference(subsumption_resolution,[],[f330,f160]) ).
tff(f160,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
tff(f54,axiom,
( ( xS = sdtasdt0(xF,xD) )
& aScalar0(xS) ),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__1930) ).
tff(f330,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl3_8 ),
inference(resolution,[],[f320,f207]) ).
tff(f207,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f117]) ).
tff(f117,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',mSumSc) ).
tff(f320,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl3_8 ),
inference(avatar_component_clause,[],[f318]) ).
tff(f318,plain,
( spl3_8
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f327,plain,
spl3_7,
inference(avatar_contradiction_clause,[],[f326]) ).
tff(f326,plain,
( $false
| spl3_7 ),
inference(subsumption_resolution,[],[f325,f158]) ).
tff(f158,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
tff(f53,axiom,
( ( xP = sdtasdt0(xE,xH) )
& aScalar0(xP) ),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__1911) ).
tff(f325,plain,
( ~ aScalar0(xP)
| spl3_7 ),
inference(duplicate_literal_removal,[],[f324]) ).
tff(f324,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl3_7 ),
inference(resolution,[],[f316,f207]) ).
tff(f316,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl3_7 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f314,plain,
( spl3_7
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f323,plain,
( ~ spl3_8
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f322,f314,f318]) ).
tff(f322,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(subsumption_resolution,[],[f311,f169]) ).
tff(f169,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(flattening,[],[f62]) ).
tff(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negated_conjecture,[],[f61]) ).
tff(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__) ).
tff(f311,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[],[f195,f168]) ).
tff(f168,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
tff(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__2590) ).
tff(f195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f102]) ).
tff(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f101]) ).
tff(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
tff(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',mLETot) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:51:50 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791
% 0.69/0.92 % (7038)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.92 % (7037)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.92 % (7035)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 Vampire---4 for (2994ds/34Mi)
% 0.69/0.92 % (7036)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 Vampire---4 for (2994ds/51Mi)
% 0.69/0.92 % (7039)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 Vampire---4 for (2994ds/34Mi)
% 0.69/0.92 % (7040)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.92 % (7041)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 Vampire---4 for (2994ds/83Mi)
% 0.69/0.93 % (7042)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.77/0.93 % (7035)First to succeed.
% 0.77/0.93 % (7042)Also succeeded, but the first one will report.
% 0.77/0.93 % (7035)Refutation found. Thanks to Tanya!
% 0.77/0.93 % SZS status Theorem for Vampire---4
% 0.77/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.93 % (7035)------------------------------
% 0.77/0.93 % (7035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (7035)Termination reason: Refutation
% 0.77/0.93
% 0.77/0.93 % (7035)Memory used [KB]: 1172
% 0.77/0.93 % (7035)Time elapsed: 0.007 s
% 0.77/0.93 % (7035)Instructions burned: 9 (million)
% 0.77/0.93 % (7035)------------------------------
% 0.77/0.93 % (7035)------------------------------
% 0.77/0.93 % (6958)Success in time 0.549 s
% 0.77/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------