TSTP Solution File: COL088-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL088-1 : TPTP v8.2.0. Released v2.7.0.
% 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 : n007.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 : Mon May 20 19:05:35 EDT 2024

% Result   : Unsatisfiable 0.71s 0.87s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   57 (  32   ~;  24   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(avatar_sat_refutation,[],[f174,f324]) ).

fof(f324,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f323,plain,
    ( $false
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f322,f140]) ).

fof(f140,plain,
    ( member(comb_app(z,r),comb)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl1_3
  <=> member(comb_app(z,r),comb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f322,plain,
    ~ member(comb_app(z,r),comb),
    inference(subsumption_resolution,[],[f316,f42]) ).

fof(f42,axiom,
    member(pair(y,z),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h4) ).

fof(f316,plain,
    ( ~ member(pair(y,z),contract)
    | ~ member(comb_app(z,r),comb) ),
    inference(resolution,[],[f248,f12]) ).

fof(f12,axiom,
    ! [X6] :
      ( member(pair(X6,X6),rtrancl(contract))
      | ~ member(X6,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).

fof(f248,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(X0,r),comb_app(z,r)),rtrancl(contract))
      | ~ member(pair(y,X0),contract) ),
    inference(subsumption_resolution,[],[f238,f39]) ).

fof(f39,axiom,
    member(r,comb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h1) ).

fof(f238,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(X0,r),comb_app(z,r)),rtrancl(contract))
      | ~ member(r,comb)
      | ~ member(pair(y,X0),contract) ),
    inference(resolution,[],[f175,f37]) ).

fof(f37,axiom,
    ! [X10,X11,X9,X12] :
      ( member(pair(comb_app(X11,X12),X9),rtrancl(contract))
      | ~ member(pair(comb_app(X10,X12),X9),rtrancl(contract))
      | ~ member(X12,comb)
      | ~ member(pair(X11,X10),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_3) ).

fof(f175,plain,
    ~ member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract)),
    inference(resolution,[],[f66,f43]) ).

fof(f43,axiom,
    member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h5) ).

fof(f66,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(p,r),X0),rtrancl(contract))
      | ~ member(pair(X0,comb_app(z,r)),rtrancl(contract)) ),
    inference(subsumption_resolution,[],[f63,f33]) ).

fof(f33,axiom,
    ! [X7] : trans(rtrancl(X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).

fof(f63,plain,
    ! [X0] :
      ( ~ member(pair(X0,comb_app(z,r)),rtrancl(contract))
      | ~ member(pair(comb_app(p,r),X0),rtrancl(contract))
      | ~ trans(rtrancl(contract)) ),
    inference(resolution,[],[f44,f32]) ).

fof(f32,axiom,
    ! [X8,X6,X9,X7] :
      ( member(pair(X6,X9),X7)
      | ~ member(pair(X8,X9),X7)
      | ~ member(pair(X6,X8),X7)
      | ~ trans(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

fof(f44,axiom,
    ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2c1) ).

fof(f174,plain,
    spl1_3,
    inference(avatar_contradiction_clause,[],[f173]) ).

fof(f173,plain,
    ( $false
    | spl1_3 ),
    inference(subsumption_resolution,[],[f172,f99]) ).

fof(f99,plain,
    member(z,comb),
    inference(resolution,[],[f42,f34]) ).

fof(f34,axiom,
    ! [X8,X6] :
      ( member(X8,comb)
      | ~ member(pair(X6,X8),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).

fof(f172,plain,
    ( ~ member(z,comb)
    | spl1_3 ),
    inference(subsumption_resolution,[],[f163,f39]) ).

fof(f163,plain,
    ( ~ member(r,comb)
    | ~ member(z,comb)
    | spl1_3 ),
    inference(resolution,[],[f141,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( member(comb_app(X0,X1),comb)
      | ~ member(X1,comb)
      | ~ member(X0,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).

fof(f141,plain,
    ( ~ member(comb_app(z,r),comb)
    | spl1_3 ),
    inference(avatar_component_clause,[],[f139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : COL088-1 : TPTP v8.2.0. Released v2.7.0.
% 0.14/0.15  % 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
% 0.14/0.37  % Computer : n007.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sat May 18 13:19:53 EDT 2024
% 0.22/0.37  % CPUTime    : 
% 0.22/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.37  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/benchmark/theBenchmark.p
% 0.67/0.87  % (22470)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.67/0.87  % (22468)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 theBenchmark for (2995ds/34Mi)
% 0.67/0.87  % (22471)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.67/0.87  % (22469)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 theBenchmark for (2995ds/51Mi)
% 0.67/0.87  % (22472)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 theBenchmark for (2995ds/34Mi)
% 0.67/0.87  % (22473)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.67/0.87  % (22474)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 theBenchmark for (2995ds/83Mi)
% 0.67/0.87  % (22475)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.67/0.87  % (22470)Refutation not found, incomplete strategy% (22470)------------------------------
% 0.67/0.87  % (22470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.87  % (22470)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.87  
% 0.67/0.87  % (22470)Memory used [KB]: 1041
% 0.67/0.87  % (22470)Time elapsed: 0.003 s
% 0.67/0.87  % (22470)Instructions burned: 3 (million)
% 0.67/0.87  % (22470)------------------------------
% 0.67/0.87  % (22470)------------------------------
% 0.71/0.87  % (22468)Refutation not found, incomplete strategy% (22468)------------------------------
% 0.71/0.87  % (22468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (22468)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (22468)Memory used [KB]: 1068
% 0.71/0.87  % (22468)Time elapsed: 0.005 s
% 0.71/0.87  % (22468)Instructions burned: 7 (million)
% 0.71/0.87  % (22468)------------------------------
% 0.71/0.87  % (22468)------------------------------
% 0.71/0.87  % (22476)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 theBenchmark for (2995ds/55Mi)
% 0.71/0.87  % (22472)First to succeed.
% 0.71/0.87  % (22472)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22467"
% 0.71/0.87  % (22477)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.71/0.87  % (22472)Refutation found. Thanks to Tanya!
% 0.71/0.87  % SZS status Unsatisfiable for theBenchmark
% 0.71/0.87  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.87  % (22472)------------------------------
% 0.71/0.87  % (22472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (22472)Termination reason: Refutation
% 0.71/0.87  
% 0.71/0.87  % (22472)Memory used [KB]: 1106
% 0.71/0.87  % (22472)Time elapsed: 0.008 s
% 0.71/0.87  % (22472)Instructions burned: 13 (million)
% 0.71/0.87  % (22467)Success in time 0.497 s
% 0.71/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------