TSTP Solution File: RNG047+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG047+1 : 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 : 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 : Wed May 1 03:41:30 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 16 unt; 0 def)
% Number of atoms : 112 ( 53 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 101 ( 38 ~; 43 |; 9 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1622,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f189,f1615]) ).
fof(f1615,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1614,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f1613,f148]) ).
fof(f148,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl4_1
<=> aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f1613,plain,
( aDimensionOf0(xs) != szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))
| spl4_2 ),
inference(forward_demodulation,[],[f1597,f191]) ).
fof(f191,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(forward_demodulation,[],[f186,f87]) ).
fof(f87,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( sz00 != aDimensionOf0(xt)
& aDimensionOf0(xs) = aDimensionOf0(xt) ),
file('/export/starexec/sandbox/tmp/tmp.gUbJFcCfg8/Vampire---4.8_10492',m__1329_01) ).
fof(f186,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(unit_resulting_resolution,[],[f86,f88,f135]) ).
fof(f135,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| sziznziztdt0(X0) != X1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gUbJFcCfg8/Vampire---4.8_10492',mDefInit) ).
fof(f88,plain,
sz00 != aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f86,plain,
aVector0(xt),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/tmp/tmp.gUbJFcCfg8/Vampire---4.8_10492',m__1329) ).
fof(f1597,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) != szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f199,f89,f531,f106]) ).
fof(f106,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.gUbJFcCfg8/Vampire---4.8_10492',mSuccEqu) ).
fof(f531,plain,
( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f525,f90]) ).
fof(f90,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.gUbJFcCfg8/Vampire---4.8_10492',mDimNat) ).
fof(f525,plain,
( aVector0(sziznziztdt0(xs))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f85,f151,f136]) ).
fof(f136,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(X1)
| sziznziztdt0(X0) != X1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f151,plain,
( sz00 != aDimensionOf0(xs)
| spl4_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl4_2
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f85,plain,
aVector0(xs),
inference(cnf_transformation,[],[f33]) ).
fof(f89,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(flattening,[],[f36]) ).
fof(f36,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
file('/export/starexec/sandbox/tmp/tmp.gUbJFcCfg8/Vampire---4.8_10492',m__) ).
fof(f199,plain,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
inference(unit_resulting_resolution,[],[f185,f90]) ).
fof(f185,plain,
aVector0(sziznziztdt0(xt)),
inference(unit_resulting_resolution,[],[f86,f88,f136]) ).
fof(f189,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f187,f88]) ).
fof(f187,plain,
( sz00 = aDimensionOf0(xt)
| ~ spl4_2 ),
inference(forward_demodulation,[],[f186,f160]) ).
fof(f160,plain,
( sz00 = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
| ~ spl4_2 ),
inference(forward_demodulation,[],[f159,f152]) ).
fof(f152,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f159,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(forward_demodulation,[],[f158,f87]) ).
fof(f158,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(subsumption_resolution,[],[f156,f88]) ).
fof(f156,plain,
( sz00 = aDimensionOf0(xt)
| aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) ),
inference(resolution,[],[f86,f135]) ).
fof(f153,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f144,f150,f146]) ).
fof(f144,plain,
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(resolution,[],[f85,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 17:25:18 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.gUbJFcCfg8/Vampire---4.8_10492
% 0.57/0.74 % (10757)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 (2996ds/83Mi)
% 0.57/0.74 % (10751)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 (2996ds/34Mi)
% 0.57/0.74 % (10753)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (10752)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 (2996ds/51Mi)
% 0.57/0.74 % (10754)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74 % (10755)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 (2996ds/34Mi)
% 0.57/0.74 % (10756)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (10756)Refutation not found, incomplete strategy% (10756)------------------------------
% 0.57/0.75 % (10756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (10756)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (10756)Memory used [KB]: 1046
% 0.57/0.75 % (10756)Time elapsed: 0.004 s
% 0.57/0.75 % (10756)Instructions burned: 3 (million)
% 0.57/0.75 % (10756)------------------------------
% 0.57/0.75 % (10756)------------------------------
% 0.57/0.75 % (10755)Refutation not found, incomplete strategy% (10755)------------------------------
% 0.57/0.75 % (10755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (10755)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (10755)Memory used [KB]: 1090
% 0.57/0.75 % (10755)Time elapsed: 0.004 s
% 0.57/0.75 % (10755)Instructions burned: 5 (million)
% 0.57/0.75 % (10755)------------------------------
% 0.57/0.75 % (10755)------------------------------
% 0.57/0.75 % (10751)Refutation not found, incomplete strategy% (10751)------------------------------
% 0.57/0.75 % (10751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (10751)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (10751)Memory used [KB]: 1070
% 0.57/0.75 % (10751)Time elapsed: 0.005 s
% 0.57/0.75 % (10751)Instructions burned: 5 (million)
% 0.57/0.75 % (10751)------------------------------
% 0.57/0.75 % (10751)------------------------------
% 0.57/0.75 % (10758)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 (2996ds/56Mi)
% 0.57/0.75 % (10760)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75 % (10759)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (10758)Refutation not found, incomplete strategy% (10758)------------------------------
% 0.57/0.75 % (10758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (10758)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (10758)Memory used [KB]: 1031
% 0.57/0.75 % (10758)Time elapsed: 0.004 s
% 0.57/0.75 % (10758)Instructions burned: 3 (million)
% 0.57/0.75 % (10758)------------------------------
% 0.57/0.75 % (10758)------------------------------
% 0.57/0.76 % (10761)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76 % (10762)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.76 % (10757)First to succeed.
% 0.57/0.76 % (10753)Also succeeded, but the first one will report.
% 0.57/0.76 % (10757)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (10757)------------------------------
% 0.57/0.76 % (10757)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (10757)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (10757)Memory used [KB]: 1413
% 0.57/0.76 % (10757)Time elapsed: 0.018 s
% 0.57/0.76 % (10757)Instructions burned: 66 (million)
% 0.57/0.76 % (10757)------------------------------
% 0.57/0.76 % (10757)------------------------------
% 0.57/0.76 % (10747)Success in time 0.384 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------