TSTP Solution File: SYN075+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n020.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 11:55:56 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   32 (   4 unt;   0 def)
%            Number of atoms       :   77 (  55 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  35   ~;  35   |;   1   &)
%                                         (   8 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   58 (  48   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f236,plain,
    $false,
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X0] : sK3 != X0,
    inference(subsumption_resolution,[],[f201,f15]) ).

fof(f15,plain,
    big_f(sK3,sK4),
    inference(equality_resolution,[],[f14]) ).

fof(f14,plain,
    ! [X3] :
      ( sK4 != X3
      | big_f(sK3,X3) ),
    inference(equality_resolution,[],[f12]) ).

fof(f12,plain,
    ! [X2,X3] :
      ( sK3 != X2
      | sK4 != X3
      | big_f(X2,X3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0,X1] :
    ! [X2,X3] :
      ( big_f(X2,X3)
    <=> ( X1 = X3
        & X0 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vZ3WDrsGI3/Vampire---4.8_23876',pel52_1) ).

fof(f201,plain,
    ! [X0] :
      ( ~ big_f(sK3,sK4)
      | sK3 != X0 ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ big_f(sK3,sK4)
      | sK3 != X0
      | sK3 != X0 ),
    inference(superposition,[],[f78,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( sK3 = sK2(sK4,X0)
      | sK3 != X0 ),
    inference(equality_factoring,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( sK2(sK4,X0) = X0
      | sK3 = sK2(sK4,X0) ),
    inference(trivial_inequality_removal,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( sK4 != sK4
      | sK2(sK4,X0) = X0
      | sK3 = sK2(sK4,X0) ),
    inference(superposition,[],[f56,f81]) ).

fof(f81,plain,
    sK4 = sK0(sK4),
    inference(unit_resulting_resolution,[],[f15,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ big_f(X1,X0)
      | sK0(X0) = sK4 ),
    inference(trivial_inequality_removal,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ big_f(X1,X0)
      | X1 != X1
      | sK0(X0) = sK4 ),
    inference(superposition,[],[f78,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( sK2(X0,X1) = X1
      | sK0(X0) = sK4 ),
    inference(subsumption_resolution,[],[f57,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( sK0(X0) = X0
      | sK0(X0) = sK4 ),
    inference(resolution,[],[f13,f11]) ).

fof(f11,plain,
    ! [X2,X3] :
      ( ~ big_f(X2,X3)
      | sK4 = X3 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f13,plain,
    ! [X0] :
      ( big_f(sK1(X0),sK0(X0))
      | sK0(X0) = X0 ),
    inference(equality_resolution,[],[f8]) ).

fof(f8,plain,
    ! [X3,X0] :
      ( sK0(X0) = X0
      | sK1(X0) != X3
      | big_f(X3,sK0(X0)) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
        ! [X3] :
          ( big_f(X3,X1)
        <=> X2 = X3 )
    <~> X0 = X1 ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ? [X0] :
      ! [X1] :
        ( ? [X2] :
          ! [X3] :
            ( big_f(X3,X1)
          <=> X2 = X3 )
      <=> X0 = X1 ),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ? [X1] :
      ! [X3] :
        ( ? [X0] :
          ! [X2] :
            ( big_f(X2,X3)
          <=> X0 = X2 )
      <=> X1 = X3 ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ? [X1] :
    ! [X3] :
      ( ? [X0] :
        ! [X2] :
          ( big_f(X2,X3)
        <=> X0 = X2 )
    <=> X1 = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.vZ3WDrsGI3/Vampire---4.8_23876',pel52) ).

fof(f57,plain,
    ! [X0,X1] :
      ( sK2(X0,X1) = X1
      | sK0(X0) != X0
      | sK0(X0) = sK4 ),
    inference(resolution,[],[f6,f11]) ).

fof(f6,plain,
    ! [X2,X0] :
      ( big_f(sK2(X0,X2),sK0(X0))
      | sK2(X0,X2) = X2
      | sK0(X0) != X0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( sK0(X0) != X0
      | sK2(X0,X1) = X1
      | sK3 = sK2(X0,X1) ),
    inference(resolution,[],[f6,f10]) ).

fof(f10,plain,
    ! [X2,X3] :
      ( ~ big_f(X2,X3)
      | sK3 = X2 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ big_f(sK2(X0,X1),X0)
      | sK2(X0,X1) != X1 ),
    inference(subsumption_resolution,[],[f75,f11]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ big_f(sK2(X0,X1),X0)
      | sK2(X0,X1) != X1
      | sK4 != X0 ),
    inference(trivial_inequality_removal,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ big_f(sK2(X0,X1),X0)
      | sK2(X0,X1) != X1
      | X0 != X0
      | sK4 != X0 ),
    inference(superposition,[],[f7,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( sK0(X0) = X0
      | sK4 != X0 ),
    inference(equality_factoring,[],[f17]) ).

fof(f7,plain,
    ! [X2,X0] :
      ( ~ big_f(sK2(X0,X2),sK0(X0))
      | sK2(X0,X2) != X2
      | sK0(X0) != X0 ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % 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 : n020.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   : Fri May  3 17:46:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.vZ3WDrsGI3/Vampire---4.8_23876
% 0.56/0.74  % (23991)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)
% 0.56/0.74  % (23985)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)
% 0.56/0.74  % (23987)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (23988)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)
% 0.56/0.74  % (23989)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)
% 0.56/0.74  % (23986)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)
% 0.56/0.74  % (23990)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)
% 0.56/0.74  % (23988)Refutation not found, incomplete strategy% (23988)------------------------------
% 0.56/0.74  % (23988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (23988)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (23988)Memory used [KB]: 953
% 0.56/0.74  % (23988)Time elapsed: 0.003 s
% 0.56/0.74  % (23988)Instructions burned: 2 (million)
% 0.56/0.74  % (23985)Refutation not found, incomplete strategy% (23985)------------------------------
% 0.56/0.74  % (23985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (23985)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (23985)Memory used [KB]: 970
% 0.56/0.75  % (23985)Time elapsed: 0.003 s
% 0.56/0.75  % (23985)Instructions burned: 3 (million)
% 0.56/0.75  % (23991)First to succeed.
% 0.56/0.75  % (23985)------------------------------
% 0.56/0.75  % (23985)------------------------------
% 0.56/0.75  % (23988)------------------------------
% 0.56/0.75  % (23988)------------------------------
% 0.56/0.75  % (23991)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23984"
% 0.56/0.75  % (23986)Also succeeded, but the first one will report.
% 0.56/0.75  % (23991)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (23991)------------------------------
% 0.56/0.75  % (23991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (23991)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (23991)Memory used [KB]: 1054
% 0.56/0.75  % (23991)Time elapsed: 0.004 s
% 0.56/0.75  % (23991)Instructions burned: 9 (million)
% 0.56/0.75  % (23984)Success in time 0.4 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------