TSTP Solution File: RNG104+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG104+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 08:54:15 EDT 2024
% Result : Theorem 0.65s 0.83s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 199 ( 58 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 238 ( 93 ~; 89 |; 42 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 66 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265,plain,
$false,
inference(avatar_sat_refutation,[],[f123,f126,f256]) ).
fof(f256,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f249,f80]) ).
fof(f80,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',m__1933) ).
fof(f249,plain,
( ~ aElement0(xz)
| ~ spl5_2 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f240,plain,
( sdtasdt0(xx,xz) != sdtasdt0(xx,xz)
| ~ aElement0(xz)
| ~ spl5_2 ),
inference(superposition,[],[f174,f142]) ).
fof(f142,plain,
! [X0] :
( sdtasdt0(xc,sdtasdt0(xu,X0)) = sdtasdt0(xx,X0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f141,f77]) ).
fof(f77,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',m__1905) ).
fof(f141,plain,
! [X0] :
( sdtasdt0(xc,sdtasdt0(xu,X0)) = sdtasdt0(xx,X0)
| ~ aElement0(X0)
| ~ aElement0(xc) ),
inference(subsumption_resolution,[],[f132,f81]) ).
fof(f81,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',m__1956) ).
fof(f132,plain,
! [X0] :
( sdtasdt0(xc,sdtasdt0(xu,X0)) = sdtasdt0(xx,X0)
| ~ aElement0(X0)
| ~ aElement0(xu)
| ~ aElement0(xc) ),
inference(superposition,[],[f94,f82]) ).
fof(f82,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f94,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',mMulAsso) ).
fof(f174,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz)
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f173,f122]) ).
fof(f122,plain,
( aElement0(xx)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl5_2
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f173,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz)
| ~ aElement0(xx) ),
inference(subsumption_resolution,[],[f171,f80]) ).
fof(f171,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz)
| ~ aElement0(xz)
| ~ aElement0(xx) ),
inference(superposition,[],[f86,f95]) ).
fof(f95,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',mMulComm) ).
fof(f86,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',m__) ).
fof(f126,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| spl5_1 ),
inference(subsumption_resolution,[],[f124,f77]) ).
fof(f124,plain,
( ~ aElement0(xc)
| spl5_1 ),
inference(resolution,[],[f118,f111]) ).
fof(f111,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK0(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK0(X0,X1),X1) )
& ( ( sK0(X0,X1) = sdtasdt0(X0,sK1(X0,X1))
& aElement0(sK1(X0,X1)) )
| aElementOf0(sK0(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK2(X0,X5)) = X5
& aElement0(sK2(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f69,f72,f71,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK0(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK0(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK0(X0,X1)
& aElement0(X4) )
| aElementOf0(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK0(X0,X1)
& aElement0(X4) )
=> ( sK0(X0,X1) = sdtasdt0(X0,sK1(X0,X1))
& aElement0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK2(X0,X5)) = X5
& aElement0(sK2(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',mDefPrIdeal) ).
fof(f118,plain,
( ~ aSet0(slsdtgt0(xc))
| spl5_1 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl5_1
<=> aSet0(slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f123,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f113,f120,f116]) ).
fof(f113,plain,
( aElement0(xx)
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f78,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470',mEOfElem) ).
fof(f78,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG104+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % 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
% 0.15/0.36 % Computer : n004.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 18:18:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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/tmp/tmp.cNvbhP2rcg/Vampire---4.8_28470
% 0.65/0.82 % (28823)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)
% 0.65/0.82 % (28815)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)
% 0.65/0.82 % (28818)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82 % (28816)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)
% 0.65/0.82 % (28819)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)
% 0.65/0.82 % (28821)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)
% 0.65/0.82 % (28820)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)
% 0.65/0.82 % (28822)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)
% 0.65/0.82 % (28823)Refutation not found, incomplete strategy% (28823)------------------------------
% 0.65/0.82 % (28823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (28823)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (28823)Memory used [KB]: 1045
% 0.65/0.82 % (28823)Time elapsed: 0.002 s
% 0.65/0.82 % (28823)Instructions burned: 4 (million)
% 0.65/0.82 % (28823)------------------------------
% 0.65/0.82 % (28823)------------------------------
% 0.65/0.83 % (28824)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 (2995ds/55Mi)
% 0.65/0.83 % (28815)Refutation not found, incomplete strategy% (28815)------------------------------
% 0.65/0.83 % (28815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (28815)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (28815)Memory used [KB]: 1155
% 0.65/0.83 % (28815)Time elapsed: 0.007 s
% 0.65/0.83 % (28815)Instructions burned: 8 (million)
% 0.65/0.83 % (28821)First to succeed.
% 0.65/0.83 % (28815)------------------------------
% 0.65/0.83 % (28815)------------------------------
% 0.65/0.83 % (28821)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28731"
% 0.65/0.83 % (28820)Refutation not found, incomplete strategy% (28820)------------------------------
% 0.65/0.83 % (28820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (28820)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (28820)Memory used [KB]: 1264
% 0.65/0.83 % (28820)Time elapsed: 0.008 s
% 0.65/0.83 % (28820)Instructions burned: 13 (million)
% 0.65/0.83 % (28820)------------------------------
% 0.65/0.83 % (28820)------------------------------
% 0.65/0.83 % (28821)Refutation found. Thanks to Tanya!
% 0.65/0.83 % SZS status Theorem for Vampire---4
% 0.65/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.83 % (28821)------------------------------
% 0.65/0.83 % (28821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (28821)Termination reason: Refutation
% 0.65/0.83
% 0.65/0.83 % (28821)Memory used [KB]: 1117
% 0.65/0.83 % (28821)Time elapsed: 0.008 s
% 0.65/0.83 % (28821)Instructions burned: 10 (million)
% 0.65/0.83 % (28731)Success in time 0.453 s
% 0.65/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------