TSTP Solution File: DAT030_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : DAT030_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.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 : Wed Aug 31 16:03:57 EDT 2022

% Result   : Theorem 2.05s 0.63s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   74 (  21 unt;  10 typ;   0 def)
%            Number of atoms       :  184 (  36 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  179 (  59   ~;  53   |;  48   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  278 (  81 atm;  41 fun;  68 num;  88 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  104 (  70   !;  34   ?; 104   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    collection: $tType ).

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_7,type,
    sK0: collection ).

tff(func_def_8,type,
    sK1: collection ).

tff(func_def_9,type,
    sK2: $int ).

tff(func_def_10,type,
    sK3: $int > $int ).

tff(func_def_11,type,
    sK4: $int > $int ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f846,plain,
    $false,
    inference(subsumption_resolution,[],[f844,f609]) ).

tff(f609,plain,
    $less(sK4(1),1),
    inference(backward_demodulation,[],[f111,f577]) ).

tff(f577,plain,
    1 = sK2,
    inference(subsumption_resolution,[],[f574,f45]) ).

tff(f45,plain,
    ~ $less(1,sK2),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    ( ~ $less(1,sK2)
    & in(sK2,sK1)
    & ! [X3: $int] :
        ( ( ( $sum(sK4(X3),sK3(X3)) = X3 )
          & in(sK3(X3),sK0)
          & in(sK4(X3),sK0) )
        | ~ in(X3,sK1) )
    & ! [X6: $int] :
        ( $less(0,X6)
        | ~ in(X6,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f28,f31,f30,f29]) ).

tff(f29,plain,
    ( ? [X0: collection,X1: collection] :
        ( ? [X2: $int] :
            ( ~ $less(1,X2)
            & in(X2,X1) )
        & ! [X3: $int] :
            ( ? [X4: $int,X5: $int] :
                ( ( $sum(X5,X4) = X3 )
                & in(X4,X0)
                & in(X5,X0) )
            | ~ in(X3,X1) )
        & ! [X6: $int] :
            ( $less(0,X6)
            | ~ in(X6,X0) ) )
   => ( ? [X2: $int] :
          ( ~ $less(1,X2)
          & in(X2,sK1) )
      & ! [X3: $int] :
          ( ? [X5: $int,X4: $int] :
              ( ( $sum(X5,X4) = X3 )
              & in(X4,sK0)
              & in(X5,sK0) )
          | ~ in(X3,sK1) )
      & ! [X6: $int] :
          ( $less(0,X6)
          | ~ in(X6,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f30,plain,
    ( ? [X2: $int] :
        ( ~ $less(1,X2)
        & in(X2,sK1) )
   => ( ~ $less(1,sK2)
      & in(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f31,plain,
    ! [X3: $int] :
      ( ? [X5: $int,X4: $int] :
          ( ( $sum(X5,X4) = X3 )
          & in(X4,sK0)
          & in(X5,sK0) )
     => ( ( $sum(sK4(X3),sK3(X3)) = X3 )
        & in(sK3(X3),sK0)
        & in(sK4(X3),sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f28,plain,
    ? [X0: collection,X1: collection] :
      ( ? [X2: $int] :
          ( ~ $less(1,X2)
          & in(X2,X1) )
      & ! [X3: $int] :
          ( ? [X4: $int,X5: $int] :
              ( ( $sum(X5,X4) = X3 )
              & in(X4,X0)
              & in(X5,X0) )
          | ~ in(X3,X1) )
      & ! [X6: $int] :
          ( $less(0,X6)
          | ~ in(X6,X0) ) ),
    inference(rectify,[],[f27]) ).

tff(f27,plain,
    ? [X1: collection,X0: collection] :
      ( ? [X6: $int] :
          ( ~ $less(1,X6)
          & in(X6,X0) )
      & ! [X2: $int] :
          ( ? [X4: $int,X3: $int] :
              ( ( $sum(X3,X4) = X2 )
              & in(X4,X1)
              & in(X3,X1) )
          | ~ in(X2,X0) )
      & ! [X5: $int] :
          ( $less(0,X5)
          | ~ in(X5,X1) ) ),
    inference(flattening,[],[f26]) ).

tff(f26,plain,
    ? [X0: collection,X1: collection] :
      ( ? [X6: $int] :
          ( ~ $less(1,X6)
          & in(X6,X0) )
      & ! [X5: $int] :
          ( $less(0,X5)
          | ~ in(X5,X1) )
      & ! [X2: $int] :
          ( ? [X4: $int,X3: $int] :
              ( ( $sum(X3,X4) = X2 )
              & in(X4,X1)
              & in(X3,X1) )
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f21,plain,
    ~ ! [X0: collection,X1: collection] :
        ( ( ! [X5: $int] :
              ( in(X5,X1)
             => $less(0,X5) )
          & ! [X2: $int] :
              ( in(X2,X0)
             => ? [X4: $int,X3: $int] :
                  ( ( $sum(X3,X4) = X2 )
                  & in(X4,X1)
                  & in(X3,X1) ) ) )
       => ! [X6: $int] :
            ( in(X6,X0)
           => $less(1,X6) ) ),
    inference(rectify,[],[f8]) ).

tff(f8,plain,
    ~ ! [X0: collection,X1: collection] :
        ( ( ! [X3: $int] :
              ( in(X3,X0)
             => ? [X4: $int,X5: $int] :
                  ( in(X4,X1)
                  & in(X5,X1)
                  & ( $sum(X4,X5) = X3 ) ) )
          & ! [X2: $int] :
              ( in(X2,X1)
             => $less(0,X2) ) )
       => ! [X6: $int] :
            ( in(X6,X0)
           => $less(1,X6) ) ),
    inference(theory_normalization,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X0: collection,X1: collection] :
        ( ( ! [X3: $int] :
              ( in(X3,X0)
             => ? [X4: $int,X5: $int] :
                  ( in(X4,X1)
                  & in(X5,X1)
                  & ( $sum(X4,X5) = X3 ) ) )
          & ! [X2: $int] :
              ( in(X2,X1)
             => $greater(X2,0) ) )
       => ! [X6: $int] :
            ( in(X6,X0)
           => $greater(X6,1) ) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X0: collection,X1: collection] :
      ( ( ! [X3: $int] :
            ( in(X3,X0)
           => ? [X4: $int,X5: $int] :
                ( in(X4,X1)
                & in(X5,X1)
                & ( $sum(X4,X5) = X3 ) ) )
        & ! [X2: $int] :
            ( in(X2,X1)
           => $greater(X2,0) ) )
     => ! [X6: $int] :
          ( in(X6,X0)
         => $greater(X6,1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f574,plain,
    ( $less(1,sK2)
    | ( 1 = sK2 ) ),
    inference(duplicate_literal_removal,[],[f562]) ).

tff(f562,plain,
    ( ( 1 = sK2 )
    | ( 1 = sK2 )
    | $less(1,sK2) ),
    inference(superposition,[],[f135,f421]) ).

tff(f421,plain,
    ( ( sK2 = sK3(sK2) )
    | ( 1 = sK2 ) ),
    inference(subsumption_resolution,[],[f418,f134]) ).

tff(f134,plain,
    ~ $less(sK3(sK2),1),
    inference(subsumption_resolution,[],[f127,f111]) ).

tff(f127,plain,
    ( ~ $less(sK3(sK2),1)
    | ~ $less(sK4(sK2),sK2) ),
    inference(resolution,[],[f82,f20]) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_166,[]) ).

tff(f82,plain,
    ! [X0: $int] :
      ( $less(sK2,$sum(sK4(sK2),X0))
      | ~ $less(sK3(sK2),X0) ),
    inference(superposition,[],[f66,f9]) ).

tff(f9,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f66,plain,
    ! [X1: $int] :
      ( $less(sK2,$sum(X1,sK4(sK2)))
      | ~ $less(sK3(sK2),X1) ),
    inference(superposition,[],[f17,f61]) ).

tff(f61,plain,
    $sum(sK3(sK2),sK4(sK2)) = sK2,
    inference(resolution,[],[f55,f44]) ).

tff(f44,plain,
    in(sK2,sK1),
    inference(cnf_transformation,[],[f32]) ).

tff(f55,plain,
    ! [X3: $int] :
      ( ~ in(X3,sK1)
      | ( $sum(sK3(X3),sK4(X3)) = X3 ) ),
    inference(forward_demodulation,[],[f43,f9]) ).

tff(f43,plain,
    ! [X3: $int] :
      ( ( $sum(sK4(X3),sK3(X3)) = X3 )
      | ~ in(X3,sK1) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f17,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_150,[]) ).

tff(f418,plain,
    ( ( 1 = sK2 )
    | ( sK2 = sK3(sK2) )
    | $less(sK3(sK2),1) ),
    inference(resolution,[],[f405,f71]) ).

tff(f71,plain,
    ! [X0: $int] :
      ( $less(sK2,X0)
      | $less(X0,1)
      | ( sK2 = X0 )
      | ( 1 = sK2 ) ),
    inference(resolution,[],[f59,f16]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f59,plain,
    ! [X0: $int] :
      ( ~ $less(X0,sK2)
      | ( 1 = sK2 )
      | $less(X0,1) ),
    inference(resolution,[],[f56,f15]) ).

tff(f15,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_148,[]) ).

tff(f56,plain,
    ( $less(sK2,1)
    | ( 1 = sK2 ) ),
    inference(resolution,[],[f45,f16]) ).

tff(f405,plain,
    ~ $less(sK2,sK3(sK2)),
    inference(subsumption_resolution,[],[f404,f62]) ).

tff(f62,plain,
    $less(0,sK4(sK2)),
    inference(resolution,[],[f58,f44]) ).

tff(f58,plain,
    ! [X0: $int] :
      ( ~ in(X0,sK1)
      | $less(0,sK4(X0)) ),
    inference(resolution,[],[f41,f40]) ).

tff(f40,plain,
    ! [X6: $int] :
      ( ~ in(X6,sK0)
      | $less(0,X6) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f41,plain,
    ! [X3: $int] :
      ( in(sK4(X3),sK0)
      | ~ in(X3,sK1) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f404,plain,
    ( ~ $less(0,sK4(sK2))
    | ~ $less(sK2,sK3(sK2)) ),
    inference(subsumption_resolution,[],[f394,f14]) ).

tff(f14,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f394,plain,
    ( ~ $less(sK2,sK3(sK2))
    | $less(sK2,sK2)
    | ~ $less(0,sK4(sK2)) ),
    inference(resolution,[],[f274,f76]) ).

tff(f76,plain,
    ! [X2: $int,X1: $int] :
      ( ~ $less(X2,$sum(X1,sK4(sK2)))
      | ~ $less(X1,sK3(sK2))
      | $less(X2,sK2) ),
    inference(resolution,[],[f65,f15]) ).

tff(f65,plain,
    ! [X0: $int] :
      ( $less($sum(X0,sK4(sK2)),sK2)
      | ~ $less(X0,sK3(sK2)) ),
    inference(superposition,[],[f17,f61]) ).

tff(f274,plain,
    ! [X0: $int] :
      ( $less(sK2,$sum(sK2,X0))
      | ~ $less(0,X0) ),
    inference(superposition,[],[f103,f9]) ).

tff(f103,plain,
    ! [X1: $int] :
      ( $less(sK2,$sum(X1,sK2))
      | ~ $less(0,X1) ),
    inference(superposition,[],[f17,f98]) ).

tff(f98,plain,
    sK2 = $sum(0,sK2),
    inference(forward_demodulation,[],[f97,f61]) ).

tff(f97,plain,
    $sum(sK3(sK2),sK4(sK2)) = $sum(0,sK2),
    inference(forward_demodulation,[],[f90,f9]) ).

tff(f90,plain,
    $sum(sK3(sK2),sK4(sK2)) = $sum(sK2,0),
    inference(superposition,[],[f67,f11]) ).

tff(f11,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f67,plain,
    ! [X2: $int] : ( $sum(sK2,X2) = $sum(sK3(sK2),$sum(sK4(sK2),X2)) ),
    inference(superposition,[],[f10,f61]) ).

tff(f10,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f135,plain,
    ( $less(1,sK3(sK2))
    | ( 1 = sK3(sK2) ) ),
    inference(resolution,[],[f134,f16]) ).

tff(f111,plain,
    $less(sK4(sK2),sK2),
    inference(subsumption_resolution,[],[f109,f64]) ).

tff(f64,plain,
    $less(0,sK3(sK2)),
    inference(resolution,[],[f60,f44]) ).

tff(f60,plain,
    ! [X0: $int] :
      ( ~ in(X0,sK1)
      | $less(0,sK3(X0)) ),
    inference(resolution,[],[f42,f40]) ).

tff(f42,plain,
    ! [X3: $int] :
      ( in(sK3(X3),sK0)
      | ~ in(X3,sK1) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f109,plain,
    ( $less(sK4(sK2),sK2)
    | ~ $less(0,sK3(sK2)) ),
    inference(superposition,[],[f77,f11]) ).

tff(f77,plain,
    ! [X0: $int] :
      ( $less($sum(sK4(sK2),X0),sK2)
      | ~ $less(X0,sK3(sK2)) ),
    inference(superposition,[],[f65,f9]) ).

tff(f844,plain,
    ~ $less(sK4(1),1),
    inference(resolution,[],[f814,f584]) ).

tff(f584,plain,
    $less(0,sK4(1)),
    inference(backward_demodulation,[],[f62,f577]) ).

tff(f814,plain,
    ! [X0: $int] :
      ( ~ $less(0,X0)
      | ~ $less(X0,1) ),
    inference(resolution,[],[f607,f20]) ).

tff(f607,plain,
    ! [X1: $int] :
      ( $less(1,$sum(X1,1))
      | ~ $less(0,X1) ),
    inference(backward_demodulation,[],[f103,f577]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT030=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 20:28:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.53  % (32393)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (32384)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (32383)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (32376)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.54  % (32375)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.21/0.55  % (32384)Instruction limit reached!
% 0.21/0.55  % (32384)------------------------------
% 0.21/0.55  % (32384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (32392)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.55  % (32384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (32384)Termination reason: Unknown
% 0.21/0.55  % (32384)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (32384)Memory used [KB]: 1023
% 0.21/0.55  % (32384)Time elapsed: 0.007 s
% 0.21/0.55  % (32384)Instructions burned: 2 (million)
% 0.21/0.55  % (32384)------------------------------
% 0.21/0.55  % (32384)------------------------------
% 0.21/0.57  % (32374)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.58  % (32373)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.58  % (32388)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.58  % (32390)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.78/0.59  % (32369)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.78/0.59  % (32378)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.78/0.59  % (32378)Instruction limit reached!
% 1.78/0.59  % (32378)------------------------------
% 1.78/0.59  % (32378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  % (32378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59  % (32378)Termination reason: Unknown
% 1.78/0.59  % (32378)Termination phase: Saturation
% 1.78/0.59  
% 1.78/0.59  % (32378)Memory used [KB]: 1023
% 1.78/0.59  % (32378)Time elapsed: 0.003 s
% 1.78/0.59  % (32378)Instructions burned: 2 (million)
% 1.78/0.59  % (32378)------------------------------
% 1.78/0.59  % (32378)------------------------------
% 1.78/0.59  % (32397)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.78/0.59  % (32396)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.78/0.59  % (32398)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.78/0.59  % (32391)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.78/0.59  % (32372)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.78/0.59  % (32372)Instruction limit reached!
% 1.78/0.59  % (32372)------------------------------
% 1.78/0.59  % (32372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  % (32372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59  % (32372)Termination reason: Unknown
% 1.78/0.59  % (32372)Termination phase: SInE selection
% 1.78/0.59  
% 1.78/0.59  % (32372)Memory used [KB]: 895
% 1.78/0.59  % (32372)Time elapsed: 0.002 s
% 1.78/0.59  % (32372)Instructions burned: 2 (million)
% 1.78/0.59  % (32372)------------------------------
% 1.78/0.59  % (32372)------------------------------
% 1.78/0.59  % (32380)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.78/0.60  % (32380)Instruction limit reached!
% 1.78/0.60  % (32380)------------------------------
% 1.78/0.60  % (32380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60  % (32380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60  % (32380)Termination reason: Unknown
% 1.78/0.60  % (32380)Termination phase: Saturation
% 1.78/0.60  
% 1.78/0.60  % (32380)Memory used [KB]: 5500
% 1.78/0.60  % (32380)Time elapsed: 0.182 s
% 1.78/0.60  % (32380)Instructions burned: 4 (million)
% 1.78/0.60  % (32380)------------------------------
% 1.78/0.60  % (32380)------------------------------
% 1.78/0.60  % (32375)Instruction limit reached!
% 1.78/0.60  % (32375)------------------------------
% 1.78/0.60  % (32375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60  % (32379)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.78/0.60  % (32381)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.78/0.60  % (32381)Instruction limit reached!
% 1.78/0.60  % (32381)------------------------------
% 1.78/0.60  % (32381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60  % (32381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60  % (32381)Termination reason: Unknown
% 1.78/0.60  % (32381)Termination phase: shuffling
% 1.78/0.60  
% 1.78/0.60  % (32381)Memory used [KB]: 1023
% 1.78/0.60  % (32381)Time elapsed: 0.003 s
% 1.78/0.60  % (32381)Instructions burned: 2 (million)
% 1.78/0.60  % (32381)------------------------------
% 1.78/0.60  % (32381)------------------------------
% 1.78/0.60  % (32395)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.78/0.60  % (32371)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.78/0.60  % (32389)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.78/0.60  % (32399)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.78/0.60  % (32375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60  % (32375)Termination reason: Unknown
% 1.78/0.60  % (32375)Termination phase: Saturation
% 1.78/0.60  
% 1.78/0.60  % (32375)Memory used [KB]: 6012
% 1.78/0.60  % (32375)Time elapsed: 0.166 s
% 1.78/0.60  % (32375)Instructions burned: 32 (million)
% 1.78/0.60  % (32375)------------------------------
% 1.78/0.60  % (32375)------------------------------
% 1.78/0.60  % (32389)Instruction limit reached!
% 1.78/0.60  % (32389)------------------------------
% 1.78/0.60  % (32389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60  % (32389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60  % (32389)Termination reason: Unknown
% 1.78/0.60  % (32389)Termination phase: SInE selection
% 1.78/0.60  
% 1.78/0.60  % (32389)Memory used [KB]: 895
% 1.78/0.60  % (32389)Time elapsed: 0.002 s
% 1.78/0.60  % (32389)Instructions burned: 2 (million)
% 1.78/0.60  % (32389)------------------------------
% 1.78/0.60  % (32389)------------------------------
% 1.78/0.60  % (32376)Instruction limit reached!
% 1.78/0.60  % (32376)------------------------------
% 1.78/0.60  % (32376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60  % (32376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60  % (32376)Termination reason: Unknown
% 1.78/0.60  % (32376)Termination phase: Saturation
% 1.78/0.60  
% 1.78/0.60  % (32376)Memory used [KB]: 6012
% 1.78/0.60  % (32376)Time elapsed: 0.185 s
% 1.78/0.60  % (32376)Instructions burned: 36 (million)
% 1.78/0.60  % (32376)------------------------------
% 1.78/0.60  % (32376)------------------------------
% 2.05/0.61  % (32387)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.05/0.61  % (32388)Refutation not found, incomplete strategy% (32388)------------------------------
% 2.05/0.61  % (32388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (32388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (32388)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.61  
% 2.05/0.61  % (32388)Memory used [KB]: 5500
% 2.05/0.61  % (32388)Time elapsed: 0.192 s
% 2.05/0.61  % (32388)Instructions burned: 2 (million)
% 2.05/0.61  % (32388)------------------------------
% 2.05/0.61  % (32388)------------------------------
% 2.05/0.61  % (32382)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.05/0.61  % (32382)Refutation not found, incomplete strategy% (32382)------------------------------
% 2.05/0.61  % (32382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (32382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (32382)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.61  
% 2.05/0.61  % (32382)Memory used [KB]: 5500
% 2.05/0.61  % (32382)Time elapsed: 0.202 s
% 2.05/0.61  % (32382)Instructions burned: 2 (million)
% 2.05/0.61  % (32382)------------------------------
% 2.05/0.61  % (32382)------------------------------
% 2.05/0.61  % (32391)Refutation not found, incomplete strategy% (32391)------------------------------
% 2.05/0.61  % (32391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (32391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (32391)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.61  
% 2.05/0.61  % (32391)Memory used [KB]: 5500
% 2.05/0.61  % (32391)Time elapsed: 0.202 s
% 2.05/0.61  % (32391)Instructions burned: 2 (million)
% 2.05/0.61  % (32391)------------------------------
% 2.05/0.61  % (32391)------------------------------
% 2.05/0.61  % (32386)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.05/0.61  % (32386)Instruction limit reached!
% 2.05/0.61  % (32386)------------------------------
% 2.05/0.61  % (32386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (32386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (32386)Termination reason: Unknown
% 2.05/0.61  % (32386)Termination phase: Saturation
% 2.05/0.61  
% 2.05/0.61  % (32386)Memory used [KB]: 5500
% 2.05/0.61  % (32386)Time elapsed: 0.003 s
% 2.05/0.61  % (32386)Instructions burned: 2 (million)
% 2.05/0.61  % (32386)------------------------------
% 2.05/0.61  % (32386)------------------------------
% 2.05/0.61  % (32390)Instruction limit reached!
% 2.05/0.61  % (32390)------------------------------
% 2.05/0.61  % (32390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (32390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (32390)Termination reason: Unknown
% 2.05/0.61  % (32390)Termination phase: Saturation
% 2.05/0.61  
% 2.05/0.61  % (32390)Memory used [KB]: 1151
% 2.05/0.61  % (32390)Time elapsed: 0.208 s
% 2.05/0.61  % (32390)Instructions burned: 15 (million)
% 2.05/0.61  % (32390)------------------------------
% 2.05/0.61  % (32390)------------------------------
% 2.05/0.62  % (32374)Instruction limit reached!
% 2.05/0.62  % (32374)------------------------------
% 2.05/0.62  % (32374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62  % (32374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (32374)Termination reason: Unknown
% 2.05/0.62  % (32374)Termination phase: Saturation
% 2.05/0.62  
% 2.05/0.62  % (32374)Memory used [KB]: 5628
% 2.05/0.62  % (32374)Time elapsed: 0.188 s
% 2.05/0.62  % (32374)Instructions burned: 15 (million)
% 2.05/0.62  % (32374)------------------------------
% 2.05/0.62  % (32374)------------------------------
% 2.05/0.62  % (32397)Refutation not found, incomplete strategy% (32397)------------------------------
% 2.05/0.62  % (32397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62  % (32397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (32397)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.62  
% 2.05/0.62  % (32397)Memory used [KB]: 5500
% 2.05/0.62  % (32397)Time elapsed: 0.183 s
% 2.05/0.62  % (32397)Instructions burned: 2 (million)
% 2.05/0.62  % (32397)------------------------------
% 2.05/0.62  % (32397)------------------------------
% 2.05/0.62  % (32392)First to succeed.
% 2.05/0.62  % (32371)Instruction limit reached!
% 2.05/0.62  % (32371)------------------------------
% 2.05/0.62  % (32371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62  % (32371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62  % (32371)Termination reason: Unknown
% 2.05/0.62  % (32371)Termination phase: Saturation
% 2.05/0.62  
% 2.05/0.62  % (32371)Memory used [KB]: 5628
% 2.05/0.62  % (32371)Time elapsed: 0.195 s
% 2.05/0.62  % (32371)Instructions burned: 9 (million)
% 2.05/0.62  % (32371)------------------------------
% 2.05/0.62  % (32371)------------------------------
% 2.05/0.62  % (32370)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 2.05/0.63  % (32377)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 2.05/0.63  % (32392)Refutation found. Thanks to Tanya!
% 2.05/0.63  % SZS status Theorem for theBenchmark
% 2.05/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.05/0.63  % (32392)------------------------------
% 2.05/0.63  % (32392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (32392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (32392)Termination reason: Refutation
% 2.05/0.63  
% 2.05/0.63  % (32392)Memory used [KB]: 1407
% 2.05/0.63  % (32392)Time elapsed: 0.219 s
% 2.05/0.63  % (32392)Instructions burned: 44 (million)
% 2.05/0.63  % (32392)------------------------------
% 2.05/0.63  % (32392)------------------------------
% 2.05/0.63  % (32368)Success in time 0.269 s
%------------------------------------------------------------------------------