TSTP Solution File: RNG120+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG120+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 02:39:41 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 68 ( 15 unt; 0 def)
% Number of atoms : 227 ( 14 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 254 ( 95 ~; 83 |; 54 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 74 ( 58 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f500,plain,
$false,
inference(avatar_sat_refutation,[],[f331,f360,f487,f494,f499]) ).
fof(f499,plain,
spl22_22,
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| spl22_22 ),
inference(subsumption_resolution,[],[f497,f245]) ).
fof(f245,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f497,plain,
( ~ aElement0(sz10)
| spl22_22 ),
inference(resolution,[],[f486,f236]) ).
fof(f236,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f486,plain,
( ~ aElement0(smndt0(sz10))
| spl22_22 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl22_22
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f494,plain,
spl22_21,
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| spl22_21 ),
inference(subsumption_resolution,[],[f492,f150]) ).
fof(f150,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f492,plain,
( ~ aIdeal0(xI)
| spl22_21 ),
inference(subsumption_resolution,[],[f491,f158]) ).
fof(f158,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f491,plain,
( ~ aElementOf0(xu,xI)
| ~ aIdeal0(xI)
| spl22_21 ),
inference(subsumption_resolution,[],[f488,f167]) ).
fof(f167,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
fof(f488,plain,
( ~ aElement0(xq)
| ~ aElementOf0(xu,xI)
| ~ aIdeal0(xI)
| spl22_21 ),
inference(resolution,[],[f482,f185]) ).
fof(f185,plain,
! [X0,X4,X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
& aElement0(sK7(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
& aElementOf0(sK8(X0),X0) ) )
& aElementOf0(sK6(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f115,f118,f117,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK6(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK6(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK6(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
& aElement0(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
& aElementOf0(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f482,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| spl22_21 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f480,plain,
( spl22_21
<=> aElementOf0(sdtasdt0(xq,xu),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f487,plain,
( ~ spl22_21
| ~ spl22_22
| spl22_8 ),
inference(avatar_split_clause,[],[f478,f328,f484,f480]) ).
fof(f328,plain,
( spl22_8
<=> aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f478,plain,
( ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sdtasdt0(xq,xu),xI)
| spl22_8 ),
inference(subsumption_resolution,[],[f473,f150]) ).
fof(f473,plain,
( ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sdtasdt0(xq,xu),xI)
| ~ aIdeal0(xI)
| spl22_8 ),
inference(resolution,[],[f330,f185]) ).
fof(f330,plain,
( ~ aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI)
| spl22_8 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f360,plain,
spl22_7,
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| spl22_7 ),
inference(subsumption_resolution,[],[f358,f167]) ).
fof(f358,plain,
( ~ aElement0(xq)
| spl22_7 ),
inference(subsumption_resolution,[],[f355,f285]) ).
fof(f285,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f284,f283]) ).
fof(f283,plain,
aSet0(xI),
inference(resolution,[],[f150,f183]) ).
fof(f183,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f284,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f158,f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f355,plain,
( ~ aElement0(xu)
| ~ aElement0(xq)
| spl22_7 ),
inference(resolution,[],[f326,f228]) ).
fof(f228,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f326,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| spl22_7 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl22_7
<=> aElement0(sdtasdt0(xq,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f331,plain,
( ~ spl22_7
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f319,f328,f324]) ).
fof(f319,plain,
( ~ aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI)
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(superposition,[],[f172,f232]) ).
fof(f232,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f172,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(flattening,[],[f53]) ).
fof(f53,negated_conjecture,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG120+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n026.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 : Sat May 18 12:13:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.57/0.74 % (22607)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)
% 0.57/0.74 % (22609)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.74 % (22610)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)
% 0.57/0.74 % (22608)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)
% 0.57/0.74 % (22611)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)
% 0.57/0.74 % (22614)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)
% 0.57/0.74 % (22612)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)
% 0.57/0.75 % (22612)First to succeed.
% 0.57/0.75 % (22613)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)
% 0.57/0.75 % (22612)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22605"
% 0.57/0.75 % (22612)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for theBenchmark
% 0.57/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.75 % (22612)------------------------------
% 0.57/0.75 % (22612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (22612)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (22612)Memory used [KB]: 1204
% 0.57/0.75 % (22612)Time elapsed: 0.014 s
% 0.57/0.75 % (22612)Instructions burned: 15 (million)
% 0.57/0.75 % (22605)Success in time 0.397 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------