TSTP Solution File: SYN013-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n023.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 04:32:54 EDT 2024
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 29
% Syntax : Number of formulae : 78 ( 7 unt; 0 def)
% Number of atoms : 221 ( 79 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 225 ( 82 ~; 130 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 14 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f36,f41,f62,f79,f86,f99,f119,f127,f133,f157,f172,f179,f180,f189]) ).
fof(f189,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f187]) ).
fof(f187,plain,
( m != m
| ~ spl0_14 ),
inference(superposition,[],[f1,f113]) ).
fof(f113,plain,
( m = n
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_14
<=> m = n ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1,axiom,
m != n,
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_1) ).
fof(f180,plain,
( spl0_3
| ~ spl0_9
| spl0_14
| spl0_1
| ~ spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f141,f24,f47,f20,f111,f64,f29]) ).
fof(f29,plain,
( spl0_3
<=> n = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f64,plain,
( spl0_9
<=> element(k,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f20,plain,
( spl0_1
<=> m = k ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f47,plain,
( spl0_5
<=> element(k,m) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f24,plain,
( spl0_2
<=> element(m,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f141,plain,
( ~ element(k,m)
| m = k
| m = n
| ~ element(k,n)
| n = k
| ~ spl0_2 ),
inference(resolution,[],[f13,f26]) ).
fof(f26,plain,
( element(m,k)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ element(X1,X0)
| ~ element(X0,X1)
| X0 = X1
| n = X1
| ~ element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_13) ).
fof(f179,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f176,f59,f64,f47,f20]) ).
fof(f59,plain,
( spl0_8
<=> n = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f176,plain,
( element(k,n)
| ~ element(k,m)
| m = k
| ~ spl0_8 ),
inference(superposition,[],[f6,f61]) ).
fof(f61,plain,
( n = f(k)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f6,axiom,
! [X0] :
( element(X0,f(X0))
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_6) ).
fof(f172,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f171,f55,f47,f20]) ).
fof(f55,plain,
( spl0_7
<=> m = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f171,plain,
( ~ element(k,m)
| m = k
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f170]) ).
fof(f170,plain,
( m != m
| ~ element(k,m)
| m = k
| ~ spl0_7 ),
inference(superposition,[],[f4,f57]) ).
fof(f57,plain,
( m = f(k)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f4,axiom,
! [X0] :
( m != f(X0)
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_4) ).
fof(f157,plain,
( spl0_3
| spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f154,f76,f64,f29]) ).
fof(f76,plain,
( spl0_12
<=> n = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f154,plain,
( element(k,n)
| n = k
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f153]) ).
fof(f153,plain,
( n != n
| element(k,n)
| n = k
| ~ spl0_12 ),
inference(superposition,[],[f9,f78]) ).
fof(f78,plain,
( n = g(k)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f9,axiom,
! [X0] :
( n != g(X0)
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_9) ).
fof(f133,plain,
( spl0_3
| spl0_9
| spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f130,f72,f47,f64,f29]) ).
fof(f72,plain,
( spl0_11
<=> m = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f130,plain,
( element(k,m)
| element(k,n)
| n = k
| ~ spl0_11 ),
inference(superposition,[],[f11,f74]) ).
fof(f74,plain,
( m = g(k)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f11,axiom,
! [X0] :
( element(X0,g(X0))
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_11) ).
fof(f127,plain,
( spl0_3
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f124,f68,f64,f29]) ).
fof(f68,plain,
( spl0_10
<=> k = g(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f124,plain,
( element(k,n)
| n = k
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f122]) ).
fof(f122,plain,
( k != k
| element(k,n)
| n = k
| ~ spl0_10 ),
inference(superposition,[],[f10,f70]) ).
fof(f70,plain,
( k = g(k)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f10,axiom,
! [X0] :
( g(X0) != X0
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_10) ).
fof(f119,plain,
( spl0_1
| spl0_5
| spl0_14
| spl0_3
| ~ spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f104,f33,f64,f29,f111,f47,f20]) ).
fof(f33,plain,
( spl0_4
<=> element(n,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f104,plain,
( ~ element(k,n)
| n = k
| m = n
| element(k,m)
| m = k
| ~ spl0_4 ),
inference(resolution,[],[f8,f35]) ).
fof(f35,plain,
( element(n,k)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ element(X1,X0)
| ~ element(X0,X1)
| X0 = X1
| m = X1
| element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_8) ).
fof(f99,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f92,f51,f47,f20]) ).
fof(f51,plain,
( spl0_6
<=> k = f(k) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f92,plain,
( ~ element(k,m)
| m = k
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f90]) ).
fof(f90,plain,
( k != k
| ~ element(k,m)
| m = k
| ~ spl0_6 ),
inference(superposition,[],[f5,f53]) ).
fof(f53,plain,
( k = f(k)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f5,axiom,
! [X0] :
( f(X0) != X0
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_5) ).
fof(f86,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f83]) ).
fof(f83,plain,
( m != m
| ~ spl0_1 ),
inference(superposition,[],[f3,f22]) ).
fof(f22,plain,
( m = k
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f3,axiom,
m != k,
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_3) ).
fof(f79,plain,
( spl0_3
| spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f76,f72,f68,f64,f29]) ).
fof(f45,plain,
( n = g(k)
| m = g(k)
| k = g(k)
| element(k,n)
| n = k ),
inference(resolution,[],[f16,f12]) ).
fof(f12,axiom,
! [X0] :
( element(g(X0),X0)
| element(X0,n)
| n = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_12) ).
fof(f16,axiom,
! [X0] :
( ~ element(X0,k)
| n = X0
| m = X0
| k = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_16) ).
fof(f62,plain,
( spl0_1
| ~ spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f59,f55,f51,f47,f20]) ).
fof(f44,plain,
( n = f(k)
| m = f(k)
| k = f(k)
| ~ element(k,m)
| m = k ),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X0] :
( element(f(X0),X0)
| ~ element(X0,m)
| m = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_7) ).
fof(f41,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f39]) ).
fof(f39,plain,
( n != n
| ~ spl0_3 ),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
( n = k
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f2,axiom,
n != k,
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_2) ).
fof(f36,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f33,f29]) ).
fof(f18,plain,
( element(n,k)
| n = k ),
inference(equality_resolution,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( element(X0,k)
| n != X0
| k = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_15) ).
fof(f27,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f24,f20]) ).
fof(f17,plain,
( element(m,k)
| m = k ),
inference(equality_resolution,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( element(X0,k)
| m != X0
| k = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RHeBjb6cWw/Vampire---4.8_18164',c_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:38:10 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_NHN 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.RHeBjb6cWw/Vampire---4.8_18164
% 0.56/0.75 % (18367)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)
% 0.56/0.75 % (18374)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)
% 0.56/0.75 % (18369)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (18368)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)
% 0.56/0.75 % (18371)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)
% 0.56/0.75 % (18370)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)
% 0.56/0.75 % (18372)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)
% 0.56/0.75 % (18373)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)
% 0.56/0.75 % (18370)Refutation not found, incomplete strategy% (18370)------------------------------
% 0.56/0.75 % (18370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (18370)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (18370)Memory used [KB]: 954
% 0.56/0.75 % (18370)Time elapsed: 0.003 s
% 0.56/0.75 % (18370)Instructions burned: 3 (million)
% 0.56/0.75 % (18370)------------------------------
% 0.56/0.75 % (18370)------------------------------
% 0.56/0.75 % (18368)First to succeed.
% 0.56/0.75 % (18372)Also succeeded, but the first one will report.
% 0.56/0.76 % (18368)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (18368)------------------------------
% 0.56/0.76 % (18368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18368)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (18368)Memory used [KB]: 1089
% 0.56/0.76 % (18368)Time elapsed: 0.006 s
% 0.56/0.76 % (18368)Instructions burned: 7 (million)
% 0.56/0.76 % (18368)------------------------------
% 0.56/0.76 % (18368)------------------------------
% 0.56/0.76 % (18346)Success in time 0.39 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------