TSTP Solution File: KRS096+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS096+1 : TPTP v8.2.0. Released v3.1.0.
% 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 : n014.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 23:20:04 EDT 2024

% Result   : Unsatisfiable 0.48s 0.64s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (   4 unt;   0 def)
%            Number of atoms       :  157 (  17 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  194 (  69   ~;  60   |;  54   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   83 (  59   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f101,plain,
    $false,
    inference(resolution,[],[f100,f70]) ).

fof(f70,plain,
    cUnsatisfiable(i2003_11_14_17_20_18265),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    cUnsatisfiable(i2003_11_14_17_20_18265),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f100,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f98,f62]) ).

fof(f62,plain,
    ! [X0] :
      ( cc(sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ( sK0(X0) != sK1(X0)
          & rr(X0,sK1(X0))
          & rr(X0,sK0(X0)) )
        | ! [X3] :
            ( ~ cd(X3)
            | ~ rr(X0,X3) )
        | ! [X4] :
            ( ~ cc(X4)
            | ~ rr(X0,X4) ) )
      & ( ( ! [X5,X6] :
              ( X5 = X6
              | ~ rr(X0,X6)
              | ~ rr(X0,X5) )
          & cd(sK2(X0))
          & rr(X0,sK2(X0))
          & cc(sK3(X0))
          & rr(X0,sK3(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f43,f46,f45,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & rr(X0,X2)
          & rr(X0,X1) )
     => ( sK0(X0) != sK1(X0)
        & rr(X0,sK1(X0))
        & rr(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X7] :
          ( cd(X7)
          & rr(X0,X7) )
     => ( cd(sK2(X0))
        & rr(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ! [X0] :
      ( ? [X8] :
          ( cc(X8)
          & rr(X0,X8) )
     => ( cc(sK3(X0))
        & rr(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X2)
            & rr(X0,X1) )
        | ! [X3] :
            ( ~ cd(X3)
            | ~ rr(X0,X3) )
        | ! [X4] :
            ( ~ cc(X4)
            | ~ rr(X0,X4) ) )
      & ( ( ! [X5,X6] :
              ( X5 = X6
              | ~ rr(X0,X6)
              | ~ rr(X0,X5) )
          & ? [X7] :
              ( cd(X7)
              & rr(X0,X7) )
          & ? [X8] :
              ( cc(X8)
              & rr(X0,X8) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X2)
            & rr(X0,X1) )
        | ! [X3] :
            ( ~ cd(X3)
            | ~ rr(X0,X3) )
        | ! [X4] :
            ( ~ cc(X4)
            | ~ rr(X0,X4) ) )
      & ( ( ! [X1,X2] :
              ( X1 = X2
              | ~ rr(X0,X2)
              | ~ rr(X0,X1) )
          & ? [X3] :
              ( cd(X3)
              & rr(X0,X3) )
          & ? [X4] :
              ( cc(X4)
              & rr(X0,X4) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X2)
            & rr(X0,X1) )
        | ! [X3] :
            ( ~ cd(X3)
            | ~ rr(X0,X3) )
        | ! [X4] :
            ( ~ cc(X4)
            | ~ rr(X0,X4) ) )
      & ( ( ! [X1,X2] :
              ( X1 = X2
              | ~ rr(X0,X2)
              | ~ rr(X0,X1) )
          & ? [X3] :
              ( cd(X3)
              & rr(X0,X3) )
          & ? [X4] :
              ( cc(X4)
              & rr(X0,X4) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X2)
            | ~ rr(X0,X1) )
        & ? [X3] :
            ( cd(X3)
            & rr(X0,X3) )
        & ? [X4] :
            ( cc(X4)
            & rr(X0,X4) ) ) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X2)
            | ~ rr(X0,X1) )
        & ? [X3] :
            ( cd(X3)
            & rr(X0,X3) )
        & ? [X4] :
            ( cc(X4)
            & rr(X0,X4) ) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( ( rr(X0,X2)
              & rr(X0,X1) )
           => X1 = X2 )
        & ? [X3] :
            ( cd(X3)
            & rr(X0,X3) )
        & ? [X4] :
            ( cc(X4)
            & rr(X0,X4) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ! [X5,X6] :
            ( ( rr(X3,X6)
              & rr(X3,X5) )
           => X5 = X6 )
        & ? [X4] :
            ( cd(X4)
            & rr(X3,X4) )
        & ? [X4] :
            ( cc(X4)
            & rr(X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f98,plain,
    ! [X0] :
      ( ~ cc(sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f97,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( cc(X0)
     => ~ cd(X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] :
      ( cc(X3)
     => ~ cd(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f97,plain,
    ! [X0] :
      ( cd(sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cd(sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f90,f61]) ).

fof(f61,plain,
    ! [X0] :
      ( rr(X0,sK3(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | ~ cUnsatisfiable(X0)
      | cd(X1) ),
    inference(duplicate_literal_removal,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( cd(X1)
      | ~ cUnsatisfiable(X0)
      | ~ rr(X0,X1)
      | ~ cUnsatisfiable(X0) ),
    inference(superposition,[],[f64,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( sK2(X1) = X0
      | ~ rr(X1,X0)
      | ~ cUnsatisfiable(X1) ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( sK2(X1) = X0
      | ~ rr(X1,X0)
      | ~ cUnsatisfiable(X1)
      | ~ cUnsatisfiable(X1) ),
    inference(resolution,[],[f65,f63]) ).

fof(f63,plain,
    ! [X0] :
      ( rr(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f65,plain,
    ! [X0,X6,X5] :
      ( ~ rr(X0,X6)
      | X5 = X6
      | ~ rr(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f64,plain,
    ! [X0] :
      ( cd(sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : KRS096+1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.11  % 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
% 0.10/0.32  % Computer : n014.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sat May 18 22:23:23 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_UNS_RFO_SEQ problem
% 0.10/0.32  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/benchmark/theBenchmark.p
% 0.48/0.64  % (28624)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)
% 0.48/0.64  % (28624)Refutation not found, incomplete strategy% (28624)------------------------------
% 0.48/0.64  % (28624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.64  % (28624)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.64  
% 0.48/0.64  % (28624)Memory used [KB]: 944
% 0.48/0.64  % (28624)Time elapsed: 0.001 s
% 0.48/0.64  % (28624)Instructions burned: 2 (million)
% 0.48/0.64  % (28624)------------------------------
% 0.48/0.64  % (28624)------------------------------
% 0.48/0.64  % (28626)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)
% 0.48/0.64  % (28626)Refutation not found, incomplete strategy% (28626)------------------------------
% 0.48/0.64  % (28626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.64  % (28626)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.64  
% 0.48/0.64  % (28626)Memory used [KB]: 944
% 0.48/0.64  % (28626)Time elapsed: 0.002 s
% 0.48/0.64  % (28626)Instructions burned: 2 (million)
% 0.48/0.64  % (28619)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)
% 0.48/0.64  % (28620)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)
% 0.48/0.64  % (28626)------------------------------
% 0.48/0.64  % (28626)------------------------------
% 0.48/0.64  % (28619)Refutation not found, incomplete strategy% (28619)------------------------------
% 0.48/0.64  % (28619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.64  % (28619)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.64  
% 0.48/0.64  % (28619)Memory used [KB]: 945
% 0.48/0.64  % (28619)Time elapsed: 0.002 s
% 0.48/0.64  % (28619)Instructions burned: 2 (million)
% 0.48/0.64  % (28619)------------------------------
% 0.48/0.64  % (28619)------------------------------
% 0.48/0.64  % (28623)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)
% 0.48/0.64  % (28625)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)
% 0.48/0.64  % (28620)First to succeed.
% 0.48/0.64  % (28623)Refutation not found, incomplete strategy% (28623)------------------------------
% 0.48/0.64  % (28623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.64  % (28623)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.64  
% 0.48/0.64  % (28623)Memory used [KB]: 957
% 0.48/0.64  % (28623)Time elapsed: 0.001 s
% 0.48/0.64  % (28623)Instructions burned: 2 (million)
% 0.48/0.64  % (28623)------------------------------
% 0.48/0.64  % (28623)------------------------------
% 0.48/0.64  % (28625)Refutation not found, incomplete strategy% (28625)------------------------------
% 0.48/0.64  % (28625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.64  % (28625)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.64  
% 0.48/0.64  % (28625)Memory used [KB]: 945
% 0.48/0.64  % (28625)Time elapsed: 0.002 s
% 0.48/0.64  % (28625)Instructions burned: 2 (million)
% 0.48/0.64  % (28627)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)
% 0.48/0.64  % (28625)------------------------------
% 0.48/0.64  % (28625)------------------------------
% 0.48/0.64  % (28620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28618"
% 0.48/0.64  % (28628)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)
% 0.48/0.64  % (28620)Refutation found. Thanks to Tanya!
% 0.48/0.64  % SZS status Unsatisfiable for theBenchmark
% 0.48/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.65  % (28620)------------------------------
% 0.48/0.65  % (28620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.65  % (28620)Termination reason: Refutation
% 0.48/0.65  
% 0.48/0.65  % (28620)Memory used [KB]: 986
% 0.48/0.65  % (28620)Time elapsed: 0.004 s
% 0.48/0.65  % (28620)Instructions burned: 4 (million)
% 0.48/0.65  % (28618)Success in time 0.315 s
% 0.48/0.65  % Vampire---4.8 exiting
%------------------------------------------------------------------------------