TSTP Solution File: SYN001-1.005 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN001-1.005 : 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 : 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 : Wed May  1 04:32:50 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   70 (   1 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  421 ( 160   ~; 256   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65,f66,f67,f68,f69,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f80,f81,f82,f83,f84]) ).

fof(f84,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f32,f50,f46,f42,f38,f34]) ).

fof(f34,plain,
    ( spl0_1
  <=> p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f38,plain,
    ( spl0_2
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f42,plain,
    ( spl0_3
  <=> p_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f46,plain,
    ( spl0_4
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f50,plain,
    ( spl0_5
  <=> p_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f32,axiom,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnnnn) ).

fof(f83,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f31,f50,f46,f42,f38,f34]) ).

fof(f31,axiom,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnnnp) ).

fof(f82,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f30,f50,f46,f42,f38,f34]) ).

fof(f30,axiom,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnnpn) ).

fof(f81,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f29,f50,f46,f42,f38,f34]) ).

fof(f29,axiom,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnnpp) ).

fof(f80,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f28,f50,f46,f42,f38,f34]) ).

fof(f28,axiom,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnpnn) ).

fof(f79,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f50,f46,f42,f38,f34]) ).

fof(f27,axiom,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnpnp) ).

fof(f78,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f26,f50,f46,f42,f38,f34]) ).

fof(f26,axiom,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnppn) ).

fof(f77,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f25,f50,f46,f42,f38,f34]) ).

fof(f25,axiom,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nnppp) ).

fof(f76,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f24,f50,f46,f42,f38,f34]) ).

fof(f24,axiom,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',npnnn) ).

fof(f75,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f23,f50,f46,f42,f38,f34]) ).

fof(f23,axiom,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',npnnp) ).

fof(f74,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f22,f50,f46,f42,f38,f34]) ).

fof(f22,axiom,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',npnpn) ).

fof(f73,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f21,f50,f46,f42,f38,f34]) ).

fof(f21,axiom,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',npnpp) ).

fof(f72,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f20,f50,f46,f42,f38,f34]) ).

fof(f20,axiom,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nppnn) ).

fof(f71,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f50,f46,f42,f38,f34]) ).

fof(f19,axiom,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',nppnp) ).

fof(f70,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f18,f50,f46,f42,f38,f34]) ).

fof(f18,axiom,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',npppn) ).

fof(f69,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f50,f46,f42,f38,f34]) ).

fof(f17,axiom,
    ( p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',npppp) ).

fof(f68,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f16,f50,f46,f42,f38,f34]) ).

fof(f16,axiom,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnnnn) ).

fof(f67,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f15,f50,f46,f42,f38,f34]) ).

fof(f15,axiom,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnnnp) ).

fof(f66,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f14,f50,f46,f42,f38,f34]) ).

fof(f14,axiom,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnnpn) ).

fof(f65,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f50,f46,f42,f38,f34]) ).

fof(f13,axiom,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnnpp) ).

fof(f64,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f12,f50,f46,f42,f38,f34]) ).

fof(f12,axiom,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnpnn) ).

fof(f63,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f11,f50,f46,f42,f38,f34]) ).

fof(f11,axiom,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnpnp) ).

fof(f62,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f10,f50,f46,f42,f38,f34]) ).

fof(f10,axiom,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnppn) ).

fof(f61,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f9,f50,f46,f42,f38,f34]) ).

fof(f9,axiom,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pnppp) ).

fof(f60,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f8,f50,f46,f42,f38,f34]) ).

fof(f8,axiom,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',ppnnn) ).

fof(f59,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f50,f46,f42,f38,f34]) ).

fof(f7,axiom,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',ppnnp) ).

fof(f58,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6,f50,f46,f42,f38,f34]) ).

fof(f6,axiom,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',ppnpn) ).

fof(f57,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f5,f50,f46,f42,f38,f34]) ).

fof(f5,axiom,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',ppnpp) ).

fof(f56,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f4,f50,f46,f42,f38,f34]) ).

fof(f4,axiom,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pppnn) ).

fof(f55,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f3,f50,f46,f42,f38,f34]) ).

fof(f3,axiom,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',pppnp) ).

fof(f54,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2,f50,f46,f42,f38,f34]) ).

fof(f2,axiom,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',ppppn) ).

fof(f53,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1,f50,f46,f42,f38,f34]) ).

fof(f1,axiom,
    ( p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wQ8u1B9n5L/Vampire---4.8_12319',ppppp) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN001-1.005 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/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   : Tue Apr 30 17:46:50 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_PRP problem
% 0.16/0.37  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.wQ8u1B9n5L/Vampire---4.8_12319
% 0.57/0.75  % (12501)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  % (12498)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  % (12501)First to succeed.
% 0.57/0.75  % (12496)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  % (12497)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  % (12498)Also succeeded, but the first one will report.
% 0.57/0.75  % (12503)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  % (12502)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  % (12499)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  % (12501)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (12501)------------------------------
% 0.57/0.75  % (12501)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (12501)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (12501)Memory used [KB]: 979
% 0.57/0.75  % (12501)Time elapsed: 0.002 s
% 0.57/0.75  % (12501)Instructions burned: 4 (million)
% 0.57/0.75  % (12501)------------------------------
% 0.57/0.75  % (12501)------------------------------
% 0.57/0.75  % (12487)Success in time 0.379 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------