TSTP Solution File: RNG088+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG088+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 : 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 : Sun May 5 08:54:08 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 192 ( 2 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 83 ( 28 ~; 26 |; 15 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 103 ( 103 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 20 ( 19 !; 0 ?; 4 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ9_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f225,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f216,f224]) ).
tff(f224,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f223]) ).
tff(f223,plain,
( $false
| spl10_2 ),
inference(subsumption_resolution,[],[f222,f75]) ).
tff(f75,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,axiom,
( aIdeal0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox/tmp/tmp.sGfpDdUixH/Vampire---4.8_22603',m__870) ).
tff(f222,plain,
( ~ aIdeal0(xJ)
| spl10_2 ),
inference(subsumption_resolution,[],[f221,f80]) ).
tff(f80,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,axiom,
( ( xx = sdtpldt0(xk,xl) )
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox/tmp/tmp.sGfpDdUixH/Vampire---4.8_22603',m__934) ).
tff(f221,plain,
( ~ aElementOf0(xl,xJ)
| ~ aIdeal0(xJ)
| spl10_2 ),
inference(subsumption_resolution,[],[f220,f83]) ).
tff(f83,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
( ( xy = sdtpldt0(xm,xn) )
& aElementOf0(xn,xJ)
& aElementOf0(xm,xI) ),
file('/export/starexec/sandbox/tmp/tmp.sGfpDdUixH/Vampire---4.8_22603',m__967) ).
tff(f220,plain,
( ~ aElementOf0(xn,xJ)
| ~ aElementOf0(xl,xJ)
| ~ aIdeal0(xJ)
| spl10_2 ),
inference(resolution,[],[f152,f87]) ).
tff(f87,plain,
! [X3: $i,X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X1,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [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(ennf_transformation,[],[f34]) ).
tff(f34,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(unused_predicate_definition_removal,[],[f31]) ).
tff(f31,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]) ).
tff(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/sandbox/tmp/tmp.sGfpDdUixH/Vampire---4.8_22603',mDefIdeal) ).
tff(f152,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| spl10_2 ),
inference(avatar_component_clause,[],[f150]) ).
tff(f150,plain,
( spl10_2
<=> aElementOf0(sdtpldt0(xl,xn),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
tff(f216,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f215]) ).
tff(f215,plain,
( $false
| spl10_1 ),
inference(subsumption_resolution,[],[f214,f74]) ).
tff(f74,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
tff(f214,plain,
( ~ aIdeal0(xI)
| spl10_1 ),
inference(subsumption_resolution,[],[f213,f79]) ).
tff(f79,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
tff(f213,plain,
( ~ aElementOf0(xk,xI)
| ~ aIdeal0(xI)
| spl10_1 ),
inference(subsumption_resolution,[],[f211,f82]) ).
tff(f82,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
tff(f211,plain,
( ~ aElementOf0(xm,xI)
| ~ aElementOf0(xk,xI)
| ~ aIdeal0(xI)
| spl10_1 ),
inference(resolution,[],[f87,f148]) ).
tff(f148,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| spl10_1 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f146,plain,
( spl10_1
<=> aElementOf0(sdtpldt0(xk,xm),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
tff(f153,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f85,f150,f146]) ).
tff(f85,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(ennf_transformation,[],[f30]) ).
tff(f30,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(negated_conjecture,[],[f29]) ).
tff(f29,conjecture,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox/tmp/tmp.sGfpDdUixH/Vampire---4.8_22603',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG088+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % 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 : n029.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 : Fri May 3 18:21:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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/tmp/tmp.sGfpDdUixH/Vampire---4.8_22603
% 0.57/0.75 % (22719)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 % (22712)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)
% 0.57/0.75 % (22718)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)
% 0.57/0.75 % (22712)First to succeed.
% 0.57/0.75 % (22719)Also succeeded, but the first one will report.
% 0.57/0.75 % (22714)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (22712)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22711"
% 0.57/0.75 % (22713)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)
% 0.57/0.75 % (22720)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 % (22715)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)
% 0.57/0.75 % (22717)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)
% 0.57/0.76 % (22716)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)
% 0.57/0.76 % (22715)Also succeeded, but the first one will report.
% 0.57/0.76 % (22717)Also succeeded, but the first one will report.
% 0.57/0.76 % (22712)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 % (22712)------------------------------
% 0.57/0.76 % (22712)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (22712)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (22712)Memory used [KB]: 1100
% 0.57/0.76 % (22712)Time elapsed: 0.005 s
% 0.57/0.76 % (22712)Instructions burned: 6 (million)
% 0.57/0.76 % (22711)Success in time 0.39 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------