TSTP Solution File: RNG073+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG073+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n031.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 03:41:42 EDT 2024
% Result : Theorem 0.62s 0.80s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 18 unt; 1 typ; 0 def)
% Number of atoms : 528 ( 20 equ)
% Maximal formula atoms : 9 ( 8 avg)
% Number of connectives : 234 ( 109 ~; 105 |; 11 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 338 ( 338 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 49 ( 48 !; 0 ?; 25 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ2_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f493,plain,
$false,
inference(avatar_sat_refutation,[],[f382,f388,f490]) ).
tff(f490,plain,
( ~ spl3_12
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f489]) ).
tff(f489,plain,
( $false
| ~ spl3_12
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f488,f298]) ).
tff(f298,plain,
~ sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(resolution,[],[f281,f249]) ).
tff(f249,plain,
~ sQ2_eqProxy($i,sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(equality_proxy_replacement,[],[f176,f227]) ).
tff(f227,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ2_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
tff(f176,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(cnf_transformation,[],[f66]) ).
tff(f66,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(flattening,[],[f65]) ).
tff(f65,negated_conjecture,
( ~ sdtpldt0(xP,xP) = sdtpldt0(xR,xS) ),
inference(negated_conjecture,[],[f64]) ).
tff(f64,conjecture,
sdtpldt0(xP,xP) = sdtpldt0(xR,xS),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__) ).
tff(f281,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ2_eqProxy(X0,X2,X1)
| ~ sQ2_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f227]) ).
tff(f488,plain,
( sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ spl3_12
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f487,f170]) ).
tff(f170,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f59]) ).
tff(f59,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__2405) ).
tff(f487,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ spl3_12
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f486,f373]) ).
tff(f373,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f372]) ).
tff(f372,plain,
( spl3_13
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
tff(f486,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f485,f369]) ).
tff(f369,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f368]) ).
tff(f368,plain,
( spl3_12
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
tff(f485,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(subsumption_resolution,[],[f484,f173]) ).
tff(f173,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
tff(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__2628) ).
tff(f484,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(subsumption_resolution,[],[f468,f174]) ).
tff(f174,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f62]) ).
tff(f468,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sQ2_eqProxy($i,sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(resolution,[],[f428,f175]) ).
tff(f175,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f63]) ).
tff(f63,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__2654) ).
tff(f428,plain,
! [X0: $i,X1: $i] :
( ~ sdtlseqdt0(sdtasdt0(X0,X0),sdtasdt0(X1,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X1),sdtasdt0(X0,X0))
| sQ2_eqProxy($i,X0,X1) ),
inference(subsumption_resolution,[],[f427,f207]) ).
tff(f207,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f114]) ).
tff(f114,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f113]) ).
tff(f113,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',mMulSc) ).
tff(f427,plain,
! [X0: $i,X1: $i] :
( sQ2_eqProxy($i,X0,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X1),sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sdtasdt0(X1,X1))
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(subsumption_resolution,[],[f422,f207]) ).
tff(f422,plain,
! [X0: $i,X1: $i] :
( sQ2_eqProxy($i,X0,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X1),sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sdtasdt0(X1,X1))
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(resolution,[],[f267,f259]) ).
tff(f259,plain,
! [X0: $i,X1: $i] :
( sQ2_eqProxy($i,X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(equality_proxy_replacement,[],[f189,f227]) ).
tff(f189,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
! [X0,X1] :
( ( X0 = X1 )
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f90]) ).
tff(f90,plain,
! [X0,X1] :
( ( X0 = X1 )
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',mLEASm) ).
tff(f267,plain,
! [X0: $i,X1: $i] :
( ~ sQ2_eqProxy($i,sdtasdt0(X0,X0),sdtasdt0(X1,X1))
| sQ2_eqProxy($i,X0,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(equality_proxy_replacement,[],[f198,f227]) ).
tff(f198,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtasdt0(X0,X0) != sdtasdt0(X1,X1) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0,X1] :
( ( X0 = X1 )
| ( sdtasdt0(X0,X0) != sdtasdt0(X1,X1) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f99]) ).
tff(f99,plain,
! [X0,X1] :
( ( X0 = X1 )
| ( sdtasdt0(X0,X0) != sdtasdt0(X1,X1) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
tff(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1) )
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',mSqrt) ).
tff(f388,plain,
spl3_13,
inference(avatar_contradiction_clause,[],[f387]) ).
tff(f387,plain,
( $false
| spl3_13 ),
inference(subsumption_resolution,[],[f386,f159]) ).
tff(f159,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
tff(f52,axiom,
( ( xR = sdtasdt0(xC,xG) )
& aScalar0(xR) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__1892) ).
tff(f386,plain,
( ~ aScalar0(xR)
| spl3_13 ),
inference(subsumption_resolution,[],[f385,f163]) ).
tff(f163,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
tff(f54,axiom,
( ( xS = sdtasdt0(xF,xD) )
& aScalar0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__1930) ).
tff(f385,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| spl3_13 ),
inference(resolution,[],[f374,f214]) ).
tff(f214,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f120]) ).
tff(f120,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/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',mSumSc) ).
tff(f374,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl3_13 ),
inference(avatar_component_clause,[],[f372]) ).
tff(f382,plain,
spl3_12,
inference(avatar_contradiction_clause,[],[f381]) ).
tff(f381,plain,
( $false
| spl3_12 ),
inference(subsumption_resolution,[],[f380,f161]) ).
tff(f161,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
tff(f53,axiom,
( ( xP = sdtasdt0(xE,xH) )
& aScalar0(xP) ),
file('/export/starexec/sandbox/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716',m__1911) ).
tff(f380,plain,
( ~ aScalar0(xP)
| spl3_12 ),
inference(duplicate_literal_removal,[],[f379]) ).
tff(f379,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl3_12 ),
inference(resolution,[],[f370,f214]) ).
tff(f370,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl3_12 ),
inference(avatar_component_clause,[],[f368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % 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
% 0.10/0.30 % Computer : n031.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 18:07:29 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a FOF_CAX_RFO_SEQ problem
% 0.10/0.30 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/tmp/tmp.ek9lmeHPG5/Vampire---4.8_3716
% 0.62/0.79 % (3829)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.79 % (3828)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79 % (3826)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 (2995ds/34Mi)
% 0.62/0.79 % (3827)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 (2995ds/51Mi)
% 0.62/0.79 % (3830)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 (2995ds/34Mi)
% 0.62/0.79 % (3831)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.79 % (3832)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 (2995ds/83Mi)
% 0.62/0.79 % (3833)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 (2995ds/56Mi)
% 0.62/0.80 % (3826)First to succeed.
% 0.62/0.80 % (3826)Refutation found. Thanks to Tanya!
% 0.62/0.80 % SZS status Theorem for Vampire---4
% 0.62/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80 % (3826)------------------------------
% 0.62/0.80 % (3826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (3826)Termination reason: Refutation
% 0.62/0.80
% 0.62/0.80 % (3826)Memory used [KB]: 1211
% 0.62/0.80 % (3826)Time elapsed: 0.011 s
% 0.62/0.80 % (3826)Instructions burned: 17 (million)
% 0.62/0.80 % (3826)------------------------------
% 0.62/0.80 % (3826)------------------------------
% 0.62/0.80 % (3824)Success in time 0.495 s
% 0.62/0.80 % Vampire---4.8 exiting
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