TSTP Solution File: GEO084-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO084-1 : TPTP v8.2.0. Released v2.4.0.
% 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 : n019.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 20:08:02 EDT 2024

% Result   : Unsatisfiable 0.58s 0.80s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   53 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   49 (  25   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f439,plain,
    $false,
    inference(avatar_sat_refutation,[],[f421,f426,f438]) ).

fof(f438,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f436]) ).

fof(f436,plain,
    ( $false
    | ~ spl0_8 ),
    inference(resolution,[],[f420,f246]) ).

fof(f246,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14),
    inference(resolution,[],[f245,f49]) ).

fof(f49,axiom,
    part_of(sk14,sk16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_67) ).

fof(f245,plain,
    ! [X0] :
      ( ~ part_of(X0,sk16)
      | ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),X0) ),
    inference(resolution,[],[f238,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( incident_c(X2,X1)
      | ~ incident_c(X2,X0)
      | ~ part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_1) ).

fof(f238,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
    inference(resolution,[],[f111,f55]) ).

fof(f55,plain,
    ! [X2,X3,X1] :
      ( incident_c(X3,sum(X1,X2))
      | ~ incident_c(X3,X2) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( incident_c(X3,X0)
      | ~ incident_c(X3,X2)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_6) ).

fof(f111,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk16,sk16)),
    inference(resolution,[],[f110,f52]) ).

fof(f52,axiom,
    ~ part_of(sum(sk14,sk15),sk16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_70) ).

fof(f110,plain,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | ~ incident_c(ax0_sk1(X0,X1),sum(X1,X1)) ),
    inference(resolution,[],[f109,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ incident_c(ax0_sk1(X0,X1),X1)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_3) ).

fof(f109,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ incident_c(X0,sum(X1,X1)) ),
    inference(factoring,[],[f53]) ).

fof(f53,plain,
    ! [X2,X3,X1] :
      ( incident_c(X3,X2)
      | incident_c(X3,X1)
      | ~ incident_c(X3,sum(X1,X2)) ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( incident_c(X3,X2)
      | incident_c(X3,X1)
      | ~ incident_c(X3,X0)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_4) ).

fof(f420,plain,
    ( incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_8
  <=> incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f426,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f422]) ).

fof(f422,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f416,f52]) ).

fof(f416,plain,
    ( part_of(sum(sk14,sk15),sk16)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f414,plain,
    ( spl0_7
  <=> part_of(sum(sk14,sk15),sk16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f421,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f407,f418,f414]) ).

fof(f407,plain,
    ( incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14)
    | part_of(sum(sk14,sk15),sk16) ),
    inference(resolution,[],[f256,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( incident_c(ax0_sk1(X0,X1),X0)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_2) ).

fof(f256,plain,
    ! [X0] :
      ( ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(X0,sk15))
      | incident_c(ax0_sk1(sum(sk14,sk15),sk16),X0) ),
    inference(resolution,[],[f247,f53]) ).

fof(f247,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15),
    inference(resolution,[],[f245,f50]) ).

fof(f50,axiom,
    part_of(sk15,sk16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2_68) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : GEO084-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.16  % 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
% 0.14/0.38  % Computer : n019.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Sun May 19 13:59:08 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.38  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.38  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
% 0.58/0.77  % (12773)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.78  % (12776)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.78  % (12774)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.78  % (12775)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 (2996ds/34Mi)
% 0.58/0.78  % (12777)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 (2996ds/83Mi)
% 0.58/0.78  % (12778)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 (2996ds/56Mi)
% 0.58/0.78  % (12771)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 (2996ds/34Mi)
% 0.58/0.78  % (12775)Refutation not found, incomplete strategy% (12775)------------------------------
% 0.58/0.78  % (12775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (12775)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78  
% 0.58/0.78  % (12775)Memory used [KB]: 1051
% 0.58/0.78  % (12775)Time elapsed: 0.025 s
% 0.58/0.78  % (12775)Instructions burned: 4 (million)
% 0.58/0.78  % (12775)------------------------------
% 0.58/0.78  % (12775)------------------------------
% 0.58/0.78  % (12779)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 (2996ds/55Mi)
% 0.58/0.78  % (12772)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 (2996ds/51Mi)
% 0.58/0.79  % (12771)Instruction limit reached!
% 0.58/0.79  % (12771)------------------------------
% 0.58/0.79  % (12771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (12771)Termination reason: Unknown
% 0.58/0.79  % (12771)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (12771)Memory used [KB]: 1205
% 0.58/0.79  % (12771)Time elapsed: 0.039 s
% 0.58/0.79  % (12771)Instructions burned: 35 (million)
% 0.58/0.79  % (12771)------------------------------
% 0.58/0.79  % (12771)------------------------------
% 0.58/0.80  % (12774)Instruction limit reached!
% 0.58/0.80  % (12774)------------------------------
% 0.58/0.80  % (12774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (12774)Termination reason: Unknown
% 0.58/0.80  % (12774)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (12774)Memory used [KB]: 1333
% 0.58/0.80  % (12774)Time elapsed: 0.043 s
% 0.58/0.80  % (12774)Instructions burned: 34 (million)
% 0.58/0.80  % (12774)------------------------------
% 0.58/0.80  % (12774)------------------------------
% 0.58/0.80  % (12780)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 (2996ds/50Mi)
% 0.58/0.80  % (12776)Instruction limit reached!
% 0.58/0.80  % (12776)------------------------------
% 0.58/0.80  % (12776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (12776)Termination reason: Unknown
% 0.58/0.80  % (12776)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (12776)Memory used [KB]: 1183
% 0.58/0.80  % (12776)Time elapsed: 0.046 s
% 0.58/0.80  % (12776)Instructions burned: 45 (million)
% 0.58/0.80  % (12776)------------------------------
% 0.58/0.80  % (12776)------------------------------
% 0.58/0.80  % (12773)Instruction limit reached!
% 0.58/0.80  % (12773)------------------------------
% 0.58/0.80  % (12773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (12773)Termination reason: Unknown
% 0.58/0.80  % (12773)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (12773)Memory used [KB]: 1380
% 0.58/0.80  % (12773)Time elapsed: 0.046 s
% 0.58/0.80  % (12773)Instructions burned: 78 (million)
% 0.58/0.80  % (12773)------------------------------
% 0.58/0.80  % (12773)------------------------------
% 0.58/0.80  % (12772)First to succeed.
% 0.58/0.80  % (12772)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12770"
% 0.58/0.80  % (12781)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.58/0.80  % (12772)Refutation found. Thanks to Tanya!
% 0.58/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.58/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.80  % (12772)------------------------------
% 0.58/0.80  % (12772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (12772)Termination reason: Refutation
% 0.58/0.80  
% 0.58/0.80  % (12772)Memory used [KB]: 1183
% 0.58/0.80  % (12772)Time elapsed: 0.050 s
% 0.58/0.80  % (12772)Instructions burned: 26 (million)
% 0.58/0.80  % (12770)Success in time 0.425 s
% 0.58/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------