TSTP Solution File: SYN005-1.010 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN005-1.010 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 11:55:32 EDT 2024

% Result   : Unsatisfiable 0.55s 0.79s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   40 (  18 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  160 (  88   ~;  65   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   94 (  94   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(unit_resulting_resolution,[],[f29,f30,f32,f24]) ).

fof(f24,plain,
    ! [X9,X7,X4] :
      ( sP6(X4,X7)
      | ~ sP4(X9,X7)
      | ~ sP3(X4,X9) ),
    inference(cnf_transformation,[],[f24_D]) ).

fof(f24_D,plain,
    ! [X7,X4] :
      ( ! [X9] :
          ( ~ sP4(X9,X7)
          | ~ sP3(X4,X9) )
    <=> ~ sP6(X4,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f32,plain,
    ~ sP6(a,a),
    inference(unit_resulting_resolution,[],[f6,f31,f25]) ).

fof(f25,plain,
    ! [X7,X4,X5] :
      ( ~ sP6(X4,X7)
      | ~ sP5(X5,X7)
      | ~ p_5(X4,X5) ),
    inference(general_splitting,[],[f23,f24_D]) ).

fof(f23,plain,
    ! [X9,X7,X4,X5] :
      ( ~ p_5(X4,X5)
      | ~ sP3(X4,X9)
      | ~ sP4(X9,X7)
      | ~ sP5(X5,X7) ),
    inference(general_splitting,[],[f21,f22_D]) ).

fof(f22,plain,
    ! [X6,X7,X5] :
      ( sP5(X5,X7)
      | ~ p_6(X5,X6)
      | ~ p_7(X6,X7) ),
    inference(cnf_transformation,[],[f22_D]) ).

fof(f22_D,plain,
    ! [X7,X5] :
      ( ! [X6] :
          ( ~ p_6(X5,X6)
          | ~ p_7(X6,X7) )
    <=> ~ sP5(X5,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f21,plain,
    ! [X6,X9,X7,X4,X5] :
      ( ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_5(X4,X5)
      | ~ sP3(X4,X9)
      | ~ sP4(X9,X7) ),
    inference(general_splitting,[],[f19,f20_D]) ).

fof(f20,plain,
    ! [X8,X9,X7] :
      ( sP4(X9,X7)
      | ~ p_8(X7,X8)
      | ~ p_9(X8,X9) ),
    inference(cnf_transformation,[],[f20_D]) ).

fof(f20_D,plain,
    ! [X7,X9] :
      ( ! [X8] :
          ( ~ p_8(X7,X8)
          | ~ p_9(X8,X9) )
    <=> ~ sP4(X9,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f19,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( ~ p_9(X8,X9)
      | ~ p_8(X7,X8)
      | ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_5(X4,X5)
      | ~ sP3(X4,X9) ),
    inference(general_splitting,[],[f17,f18_D]) ).

fof(f18,plain,
    ! [X1,X9,X4] :
      ( sP3(X4,X9)
      | ~ sP2(X1,X9)
      | ~ sP1(X1,X4) ),
    inference(cnf_transformation,[],[f18_D]) ).

fof(f18_D,plain,
    ! [X9,X4] :
      ( ! [X1] :
          ( ~ sP2(X1,X9)
          | ~ sP1(X1,X4) )
    <=> ~ sP3(X4,X9) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f17,plain,
    ! [X1,X8,X6,X9,X7,X4,X5] :
      ( ~ p_9(X8,X9)
      | ~ p_8(X7,X8)
      | ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_5(X4,X5)
      | ~ sP1(X1,X4)
      | ~ sP2(X1,X9) ),
    inference(general_splitting,[],[f15,f16_D]) ).

fof(f16,plain,
    ! [X0,X1,X9] :
      ( sP2(X1,X9)
      | ~ p_1(X0,X1)
      | ~ p_10(X9,X0) ),
    inference(cnf_transformation,[],[f16_D]) ).

fof(f16_D,plain,
    ! [X9,X1] :
      ( ! [X0] :
          ( ~ p_1(X0,X1)
          | ~ p_10(X9,X0) )
    <=> ~ sP2(X1,X9) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f15,plain,
    ! [X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ p_10(X9,X0)
      | ~ p_9(X8,X9)
      | ~ p_8(X7,X8)
      | ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_5(X4,X5)
      | ~ p_1(X0,X1)
      | ~ sP1(X1,X4) ),
    inference(general_splitting,[],[f13,f14_D]) ).

fof(f14,plain,
    ! [X3,X1,X4] :
      ( sP1(X1,X4)
      | ~ sP0(X3,X1)
      | ~ p_4(X3,X4) ),
    inference(cnf_transformation,[],[f14_D]) ).

fof(f14_D,plain,
    ! [X4,X1] :
      ( ! [X3] :
          ( ~ sP0(X3,X1)
          | ~ p_4(X3,X4) )
    <=> ~ sP1(X1,X4) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f13,plain,
    ! [X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ p_10(X9,X0)
      | ~ p_9(X8,X9)
      | ~ p_8(X7,X8)
      | ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_5(X4,X5)
      | ~ p_4(X3,X4)
      | ~ p_1(X0,X1)
      | ~ sP0(X3,X1) ),
    inference(general_splitting,[],[f1,f12_D]) ).

fof(f12,plain,
    ! [X2,X3,X1] :
      ( sP0(X3,X1)
      | ~ p_2(X1,X2)
      | ~ p_3(X2,X3) ),
    inference(cnf_transformation,[],[f12_D]) ).

fof(f12_D,plain,
    ! [X1,X3] :
      ( ! [X2] :
          ( ~ p_2(X1,X2)
          | ~ p_3(X2,X3) )
    <=> ~ sP0(X3,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ p_10(X9,X0)
      | ~ p_9(X8,X9)
      | ~ p_8(X7,X8)
      | ~ p_7(X6,X7)
      | ~ p_6(X5,X6)
      | ~ p_5(X4,X5)
      | ~ p_4(X3,X4)
      | ~ p_3(X2,X3)
      | ~ p_2(X1,X2)
      | ~ p_1(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',disjunction) ).

fof(f31,plain,
    sP5(a,a),
    inference(unit_resulting_resolution,[],[f8,f7,f22]) ).

fof(f7,axiom,
    p_6(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_6) ).

fof(f8,axiom,
    p_7(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_7) ).

fof(f6,axiom,
    p_5(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_5) ).

fof(f30,plain,
    sP4(a,a),
    inference(unit_resulting_resolution,[],[f10,f9,f20]) ).

fof(f9,axiom,
    p_8(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_8) ).

fof(f10,axiom,
    p_9(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_9) ).

fof(f29,plain,
    sP3(a,a),
    inference(unit_resulting_resolution,[],[f27,f28,f18]) ).

fof(f28,plain,
    sP2(a,a),
    inference(unit_resulting_resolution,[],[f11,f2,f16]) ).

fof(f2,axiom,
    p_1(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_1) ).

fof(f11,axiom,
    p_10(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_10) ).

fof(f27,plain,
    sP1(a,a),
    inference(unit_resulting_resolution,[],[f5,f26,f14]) ).

fof(f26,plain,
    sP0(a,a),
    inference(unit_resulting_resolution,[],[f4,f3,f12]) ).

fof(f3,axiom,
    p_2(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_2) ).

fof(f4,axiom,
    p_3(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_3) ).

fof(f5,axiom,
    p_4(a,a),
    file('/export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101',p_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18  % Problem    : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.20  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.40  % Computer : n018.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8042.1875MB
% 0.13/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.40  % CPULimit   : 300
% 0.13/0.40  % WCLimit    : 300
% 0.13/0.40  % DateTime   : Fri May  3 17:43:23 EDT 2024
% 0.13/0.40  % CPUTime    : 
% 0.13/0.40  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.13/0.41  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.mDk9Re6MeV/Vampire---4.8_8101
% 0.55/0.79  % (8216)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)
% 0.55/0.79  % (8210)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)
% 0.55/0.79  % (8212)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.79  % (8216)First to succeed.
% 0.55/0.79  % (8213)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)
% 0.55/0.79  % (8214)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)
% 0.55/0.79  % (8215)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)
% 0.55/0.79  % (8211)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)
% 0.55/0.79  % (8216)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8209"
% 0.55/0.79  % (8216)Refutation found. Thanks to Tanya!
% 0.55/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.79  % (8216)------------------------------
% 0.55/0.79  % (8216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79  % (8216)Termination reason: Refutation
% 0.55/0.79  
% 0.55/0.79  % (8216)Memory used [KB]: 965
% 0.55/0.79  % (8216)Time elapsed: 0.002 s
% 0.55/0.79  % (8216)Instructions burned: 4 (million)
% 0.55/0.79  % (8209)Success in time 0.38 s
% 0.55/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------