TSTP Solution File: RNG112+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG112+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 : n020.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 08:54:19 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 6 unt; 0 def)
% Number of atoms : 195 ( 61 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 233 ( 95 ~; 90 |; 35 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 27 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f364,plain,
$false,
inference(avatar_sat_refutation,[],[f215,f220,f225,f256,f344,f348,f361]) ).
fof(f361,plain,
( spl20_5
| ~ spl20_6
| ~ spl20_12 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| spl20_5
| ~ spl20_6
| ~ spl20_12 ),
inference(subsumption_resolution,[],[f359,f224]) ).
fof(f224,plain,
( aElementOf0(sK3,xI)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl20_6
<=> aElementOf0(sK3,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f359,plain,
( ~ aElementOf0(sK3,xI)
| spl20_5
| ~ spl20_12 ),
inference(subsumption_resolution,[],[f354,f219]) ).
fof(f219,plain,
( sz00 != sK3
| spl20_5 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl20_5
<=> sz00 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f354,plain,
( sz00 = sK3
| ~ aElementOf0(sK3,xI)
| ~ spl20_12 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( sz00 != sz00
| sz00 = sK3
| ~ aElementOf0(sK3,xI)
| ~ spl20_12 ),
inference(superposition,[],[f138,f339]) ).
fof(f339,plain,
( sz00 = sK4(sK3)
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl20_12
<=> sz00 = sK4(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f138,plain,
! [X0] :
( sz00 != sK4(X0)
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( iLess0(sbrdtbr0(sK4(X0)),sbrdtbr0(X0))
& sz00 != sK4(X0)
& aElementOf0(sK4(X0),xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f56,f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI) )
=> ( iLess0(sbrdtbr0(sK4(X0)),sbrdtbr0(X0))
& sz00 != sK4(X0)
& aElementOf0(sK4(X0),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& sz00 != X1
& aElementOf0(X1,xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,xI) )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( ! [X1] :
( ( sz00 != X1
& aElementOf0(X1,xI) )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& sz00 != X0
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox/tmp/tmp.SMl7n2LvF4/Vampire---4.8_22144',m__) ).
fof(f348,plain,
( spl20_5
| ~ spl20_6
| spl20_13 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| spl20_5
| ~ spl20_6
| spl20_13 ),
inference(subsumption_resolution,[],[f346,f224]) ).
fof(f346,plain,
( ~ aElementOf0(sK3,xI)
| spl20_5
| spl20_13 ),
inference(subsumption_resolution,[],[f345,f219]) ).
fof(f345,plain,
( sz00 = sK3
| ~ aElementOf0(sK3,xI)
| spl20_13 ),
inference(resolution,[],[f343,f137]) ).
fof(f137,plain,
! [X0] :
( aElementOf0(sK4(X0),xI)
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f95]) ).
fof(f343,plain,
( ~ aElementOf0(sK4(sK3),xI)
| spl20_13 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl20_13
<=> aElementOf0(sK4(sK3),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f344,plain,
( spl20_12
| ~ spl20_13
| ~ spl20_4
| spl20_5
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f335,f222,f217,f213,f341,f337]) ).
fof(f213,plain,
( spl20_4
<=> ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| ~ aElementOf0(X2,xI)
| sz00 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f335,plain,
( ~ aElementOf0(sK4(sK3),xI)
| sz00 = sK4(sK3)
| ~ spl20_4
| spl20_5
| ~ spl20_6 ),
inference(subsumption_resolution,[],[f334,f224]) ).
fof(f334,plain,
( ~ aElementOf0(sK3,xI)
| ~ aElementOf0(sK4(sK3),xI)
| sz00 = sK4(sK3)
| ~ spl20_4
| spl20_5 ),
inference(subsumption_resolution,[],[f333,f219]) ).
fof(f333,plain,
( sz00 = sK3
| ~ aElementOf0(sK3,xI)
| ~ aElementOf0(sK4(sK3),xI)
| sz00 = sK4(sK3)
| ~ spl20_4 ),
inference(resolution,[],[f139,f214]) ).
fof(f214,plain,
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| ~ aElementOf0(X2,xI)
| sz00 = X2 )
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f139,plain,
! [X0] :
( iLess0(sbrdtbr0(sK4(X0)),sbrdtbr0(X0))
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f95]) ).
fof(f256,plain,
~ spl20_3,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f241,f133]) ).
fof(f133,plain,
sz00 != sK2,
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( sz00 != sK2
& aElementOf0(sK2,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f44,f90]) ).
fof(f90,plain,
( ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
=> ( sz00 != sK2
& aElementOf0(sK2,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
file('/export/starexec/sandbox/tmp/tmp.SMl7n2LvF4/Vampire---4.8_22144',m__2228) ).
fof(f241,plain,
( sz00 = sK2
| ~ spl20_3 ),
inference(resolution,[],[f211,f208]) ).
fof(f208,plain,
aElementOf0(sK2,xI),
inference(forward_demodulation,[],[f132,f127]) ).
fof(f127,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox/tmp/tmp.SMl7n2LvF4/Vampire---4.8_22144',m__2174) ).
fof(f132,plain,
aElementOf0(sK2,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f91]) ).
fof(f211,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0 )
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl20_3
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f225,plain,
( spl20_3
| spl20_6 ),
inference(avatar_split_clause,[],[f134,f222,f210]) ).
fof(f134,plain,
! [X0] :
( aElementOf0(sK3,xI)
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| sz00 = X2
| ~ aElementOf0(X2,xI) )
& sz00 != sK3
& aElementOf0(sK3,xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f54,f92]) ).
fof(f92,plain,
( ? [X1] :
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| sz00 = X2
| ~ aElementOf0(X2,xI) )
& sz00 != X1
& aElementOf0(X1,xI) )
=> ( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| sz00 = X2
| ~ aElementOf0(X2,xI) )
& sz00 != sK3
& aElementOf0(sK3,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| sz00 = X2
| ~ aElementOf0(X2,xI) )
& sz00 != X1
& aElementOf0(X1,xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| sz00 = X2
| ~ aElementOf0(X2,xI) )
& sz00 != X1
& aElementOf0(X1,xI) )
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ? [X1] :
( ! [X2] :
( ( sz00 != X2
& aElementOf0(X2,xI) )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
& sz00 != X1
& aElementOf0(X1,xI) ) ),
file('/export/starexec/sandbox/tmp/tmp.SMl7n2LvF4/Vampire---4.8_22144',m__2351) ).
fof(f220,plain,
( spl20_3
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f135,f217,f210]) ).
fof(f135,plain,
! [X0] :
( sz00 != sK3
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f93]) ).
fof(f215,plain,
( spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f136,f213,f210]) ).
fof(f136,plain,
! [X2,X0] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK3))
| sz00 = X2
| ~ aElementOf0(X2,xI)
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG112+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
% 0.15/0.36 % Computer : n020.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 : Fri May 3 18:16:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.SMl7n2LvF4/Vampire---4.8_22144
% 0.59/0.75 % (22495)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)
% 0.59/0.75 % (22486)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)
% 0.59/0.75 % (22488)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (22487)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)
% 0.59/0.75 % (22489)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)
% 0.59/0.75 % (22491)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)
% 0.59/0.75 % (22492)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)
% 0.59/0.75 % (22494)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)
% 0.59/0.76 % (22492)First to succeed.
% 0.59/0.76 % (22489)Also succeeded, but the first one will report.
% 0.59/0.76 % (22492)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22392"
% 0.59/0.76 % (22487)Also succeeded, but the first one will report.
% 0.59/0.76 % (22488)Also succeeded, but the first one will report.
% 0.59/0.76 % (22492)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (22492)------------------------------
% 0.59/0.76 % (22492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (22492)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (22492)Memory used [KB]: 1188
% 0.59/0.76 % (22492)Time elapsed: 0.009 s
% 0.59/0.76 % (22492)Instructions burned: 12 (million)
% 0.59/0.76 % (22392)Success in time 0.381 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------