TSTP Solution File: SWC384+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC384+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n028.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 18:40:51 EDT 2022

% Result   : Theorem 2.11s 0.64s
% Output   : Refutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   82 (   9 unt;   0 def)
%            Number of atoms       :  296 (  50 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  338 ( 124   ~; 132   |;  48   &)
%                                         (  15 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   9 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   72 (  48   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1061,plain,
    $false,
    inference(avatar_sat_refutation,[],[f570,f571,f580,f594,f604,f608,f740,f853,f1060]) ).

fof(f1060,plain,
    ( spl55_6
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(avatar_contradiction_clause,[],[f1059]) ).

fof(f1059,plain,
    ( $false
    | spl55_6
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(subsumption_resolution,[],[f1058,f334]) ).

fof(f334,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( app(app(X5,X2),X6) = X3
                                & ssList(X6)
                                & cons(X4,nil) = X2
                                & ! [X7] :
                                    ( ~ memberP(X5,X7)
                                    | ~ lt(X4,X7)
                                    | ~ ssItem(X7) )
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ lt(X8,X4)
                                    | ~ memberP(X6,X8) ) ) ) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & neq(X1,nil)
                  & ssList(X3)
                  & X0 = X2
                  & ( ~ singletonP(X0)
                    | ~ segmentP(X1,X0) )
                  & X1 = X3 ) ) ) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ( ~ singletonP(X0)
                    | ~ segmentP(X1,X0) )
                  & neq(X1,nil)
                  & X1 = X3
                  & ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(app(X5,X2),X6) = X3
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ lt(X8,X4)
                                    | ~ memberP(X6,X8) )
                                & cons(X4,nil) = X2
                                & ! [X7] :
                                    ( ~ memberP(X5,X7)
                                    | ~ lt(X4,X7)
                                    | ~ ssItem(X7) )
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X0 != X2
                      | ( segmentP(X1,X0)
                        & singletonP(X0) )
                      | ~ neq(X1,nil)
                      | X1 != X3
                      | ( ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ! [X6] :
                                    ( ssList(X6)
                                   => ( app(app(X5,X2),X6) != X3
                                      | ? [X8] :
                                          ( ssItem(X8)
                                          & memberP(X6,X8)
                                          & lt(X8,X4) )
                                      | cons(X4,nil) != X2
                                      | ? [X7] :
                                          ( memberP(X5,X7)
                                          & ssItem(X7)
                                          & lt(X4,X7) ) ) ) ) )
                        & ( nil != X2
                          | nil != X3 ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | ( segmentP(X1,X0)
                      & singletonP(X0) )
                    | ~ neq(X1,nil)
                    | X1 != X3
                    | ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ssList(X6)
                                 => ( app(app(X5,X2),X6) != X3
                                    | ? [X8] :
                                        ( ssItem(X8)
                                        & memberP(X6,X8)
                                        & lt(X8,X4) )
                                    | cons(X4,nil) != X2
                                    | ? [X7] :
                                        ( memberP(X5,X7)
                                        & ssItem(X7)
                                        & lt(X4,X7) ) ) ) ) )
                      & ( nil != X2
                        | nil != X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1058,plain,
    ( ~ ssList(sK21)
    | spl55_6
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(subsumption_resolution,[],[f1057,f579]) ).

fof(f579,plain,
    ( ~ segmentP(sK22,sK21)
    | spl55_6 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl55_6
  <=> segmentP(sK22,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).

fof(f1057,plain,
    ( segmentP(sK22,sK21)
    | ~ ssList(sK21)
    | ~ spl55_8
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(subsumption_resolution,[],[f1056,f588]) ).

fof(f588,plain,
    ( ssList(sK27)
    | ~ spl55_8 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl55_8
  <=> ssList(sK27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).

fof(f1056,plain,
    ( ~ ssList(sK27)
    | ~ ssList(sK21)
    | segmentP(sK22,sK21)
    | ~ spl55_9
    | ~ spl55_11 ),
    inference(subsumption_resolution,[],[f1055,f593]) ).

fof(f593,plain,
    ( ssList(sK26)
    | ~ spl55_9 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl55_9
  <=> ssList(sK26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).

fof(f1055,plain,
    ( ~ ssList(sK26)
    | ~ ssList(sK27)
    | segmentP(sK22,sK21)
    | ~ ssList(sK21)
    | ~ spl55_11 ),
    inference(subsumption_resolution,[],[f1044,f333]) ).

fof(f333,plain,
    ssList(sK22),
    inference(cnf_transformation,[],[f154]) ).

fof(f1044,plain,
    ( ~ ssList(sK22)
    | segmentP(sK22,sK21)
    | ~ ssList(sK21)
    | ~ ssList(sK26)
    | ~ ssList(sK27)
    | ~ spl55_11 ),
    inference(resolution,[],[f549,f780]) ).

fof(f780,plain,
    ( sQ54_eqProxy(app(app(sK26,sK21),sK27),sK22)
    | ~ spl55_11 ),
    inference(resolution,[],[f602,f551]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( ~ sQ54_eqProxy(X0,X1)
      | sQ54_eqProxy(X1,X0) ),
    inference(equality_proxy_axiom,[],[f449]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( sQ54_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ54_eqProxy])]) ).

fof(f602,plain,
    ( sQ54_eqProxy(sK22,app(app(sK26,sK21),sK27))
    | ~ spl55_11 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl55_11
  <=> sQ54_eqProxy(sK22,app(app(sK26,sK21),sK27)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).

fof(f549,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sQ54_eqProxy(app(app(X2,X1),X3),X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | segmentP(X0,X1) ),
    inference(equality_proxy_replacement,[],[f429,f449]) ).

fof(f429,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f853,plain,
    ( spl55_5
    | ~ spl55_1
    | ~ spl55_3 ),
    inference(avatar_split_clause,[],[f852,f562,f553,f573]) ).

fof(f573,plain,
    ( spl55_5
  <=> singletonP(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).

fof(f553,plain,
    ( spl55_1
  <=> ssItem(sK25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).

fof(f562,plain,
    ( spl55_3
  <=> sQ54_eqProxy(sK21,cons(sK25,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).

fof(f852,plain,
    ( singletonP(sK21)
    | ~ spl55_1
    | ~ spl55_3 ),
    inference(subsumption_resolution,[],[f851,f555]) ).

fof(f555,plain,
    ( ssItem(sK25)
    | ~ spl55_1 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f851,plain,
    ( ~ ssItem(sK25)
    | singletonP(sK21)
    | ~ spl55_3 ),
    inference(subsumption_resolution,[],[f841,f334]) ).

fof(f841,plain,
    ( singletonP(sK21)
    | ~ ssList(sK21)
    | ~ ssItem(sK25)
    | ~ spl55_3 ),
    inference(resolution,[],[f475,f762]) ).

fof(f762,plain,
    ( sQ54_eqProxy(cons(sK25,nil),sK21)
    | ~ spl55_3 ),
    inference(resolution,[],[f564,f551]) ).

fof(f564,plain,
    ( sQ54_eqProxy(sK21,cons(sK25,nil))
    | ~ spl55_3 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( ~ sQ54_eqProxy(cons(X1,nil),X0)
      | ~ ssList(X0)
      | singletonP(X0)
      | ~ ssItem(X1) ),
    inference(equality_proxy_replacement,[],[f270,f449]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | cons(X1,nil) != X0
      | singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f740,plain,
    ~ spl55_4,
    inference(avatar_contradiction_clause,[],[f739]) ).

fof(f739,plain,
    ( $false
    | ~ spl55_4 ),
    inference(subsumption_resolution,[],[f738,f331]) ).

fof(f331,plain,
    neq(sK22,nil),
    inference(cnf_transformation,[],[f154]) ).

fof(f738,plain,
    ( ~ neq(sK22,nil)
    | ~ spl55_4 ),
    inference(subsumption_resolution,[],[f737,f333]) ).

fof(f737,plain,
    ( ~ ssList(sK22)
    | ~ neq(sK22,nil)
    | ~ spl55_4 ),
    inference(subsumption_resolution,[],[f729,f413]) ).

fof(f413,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f729,plain,
    ( ~ ssList(nil)
    | ~ neq(sK22,nil)
    | ~ ssList(sK22)
    | ~ spl55_4 ),
    inference(resolution,[],[f468,f629]) ).

fof(f629,plain,
    ( sQ54_eqProxy(sK22,nil)
    | ~ spl55_4 ),
    inference(resolution,[],[f551,f569]) ).

fof(f569,plain,
    ( sQ54_eqProxy(nil,sK22)
    | ~ spl55_4 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl55_4
  <=> sQ54_eqProxy(nil,sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).

fof(f468,plain,
    ! [X0,X1] :
      ( ~ sQ54_eqProxy(X0,X1)
      | ~ neq(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_proxy_replacement,[],[f255,f449]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X0 != X1
          <=> neq(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f608,plain,
    ( spl55_4
    | spl55_8 ),
    inference(avatar_split_clause,[],[f499,f586,f567]) ).

fof(f499,plain,
    ( ssList(sK27)
    | sQ54_eqProxy(nil,sK22) ),
    inference(equality_proxy_replacement,[],[f440,f449]) ).

fof(f440,plain,
    ( nil = sK22
    | ssList(sK27) ),
    inference(definition_unfolding,[],[f321,f328]) ).

fof(f328,plain,
    sK24 = sK22,
    inference(cnf_transformation,[],[f154]) ).

fof(f321,plain,
    ( nil = sK24
    | ssList(sK27) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f604,plain,
    ( spl55_11
    | spl55_4 ),
    inference(avatar_split_clause,[],[f498,f567,f600]) ).

fof(f498,plain,
    ( sQ54_eqProxy(nil,sK22)
    | sQ54_eqProxy(sK22,app(app(sK26,sK21),sK27)) ),
    inference(equality_proxy_replacement,[],[f439,f449,f449]) ).

fof(f439,plain,
    ( nil = sK22
    | sK22 = app(app(sK26,sK21),sK27) ),
    inference(definition_unfolding,[],[f322,f328,f328,f329]) ).

fof(f329,plain,
    sK23 = sK21,
    inference(cnf_transformation,[],[f154]) ).

fof(f322,plain,
    ( nil = sK24
    | sK24 = app(app(sK26,sK23),sK27) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f594,plain,
    ( spl55_9
    | spl55_4 ),
    inference(avatar_split_clause,[],[f497,f567,f591]) ).

fof(f497,plain,
    ( sQ54_eqProxy(nil,sK22)
    | ssList(sK26) ),
    inference(equality_proxy_replacement,[],[f438,f449]) ).

fof(f438,plain,
    ( nil = sK22
    | ssList(sK26) ),
    inference(definition_unfolding,[],[f323,f328]) ).

fof(f323,plain,
    ( nil = sK24
    | ssList(sK26) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f580,plain,
    ( ~ spl55_5
    | ~ spl55_6 ),
    inference(avatar_split_clause,[],[f327,f577,f573]) ).

fof(f327,plain,
    ( ~ segmentP(sK22,sK21)
    | ~ singletonP(sK21) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f571,plain,
    ( spl55_3
    | spl55_4 ),
    inference(avatar_split_clause,[],[f500,f567,f562]) ).

fof(f500,plain,
    ( sQ54_eqProxy(nil,sK22)
    | sQ54_eqProxy(sK21,cons(sK25,nil)) ),
    inference(equality_proxy_replacement,[],[f441,f449,f449]) ).

fof(f441,plain,
    ( nil = sK22
    | sK21 = cons(sK25,nil) ),
    inference(definition_unfolding,[],[f320,f328,f329]) ).

fof(f320,plain,
    ( nil = sK24
    | sK23 = cons(sK25,nil) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f570,plain,
    ( spl55_1
    | spl55_4 ),
    inference(avatar_split_clause,[],[f494,f567,f553]) ).

fof(f494,plain,
    ( sQ54_eqProxy(nil,sK22)
    | ssItem(sK25) ),
    inference(equality_proxy_replacement,[],[f435,f449]) ).

fof(f435,plain,
    ( nil = sK22
    | ssItem(sK25) ),
    inference(definition_unfolding,[],[f326,f328]) ).

fof(f326,plain,
    ( nil = sK24
    | ssItem(sK25) ),
    inference(cnf_transformation,[],[f154]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC384+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:01:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (5353)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55  % (5354)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55  % (5352)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56  % (5361)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (5369)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56  % (5370)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (5362)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (5368)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56  % (5360)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (5361)Instruction limit reached!
% 0.20/0.56  % (5361)------------------------------
% 0.20/0.56  % (5361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (5363)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57  % (5365)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.57  % (5360)Instruction limit reached!
% 0.20/0.57  % (5360)------------------------------
% 0.20/0.57  % (5360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (5360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (5360)Termination reason: Unknown
% 0.20/0.57  % (5360)Termination phase: Preprocessing 3
% 0.20/0.57  
% 0.20/0.57  % (5360)Memory used [KB]: 1663
% 0.20/0.57  % (5360)Time elapsed: 0.005 s
% 0.20/0.57  % (5360)Instructions burned: 4 (million)
% 0.20/0.57  % (5360)------------------------------
% 0.20/0.57  % (5360)------------------------------
% 0.20/0.58  % (5373)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=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.58  % (5361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (5361)Termination reason: Unknown
% 0.20/0.58  % (5361)Termination phase: Function definition elimination
% 0.20/0.58  
% 0.20/0.58  % (5361)Memory used [KB]: 1791
% 0.20/0.58  % (5361)Time elapsed: 0.010 s
% 0.20/0.58  % (5361)Instructions burned: 8 (million)
% 0.20/0.58  % (5361)------------------------------
% 0.20/0.58  % (5361)------------------------------
% 0.20/0.58  % (5347)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.58  % (5349)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (5348)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.59  % (5371)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.59  % (5348)Instruction limit reached!
% 0.20/0.59  % (5348)------------------------------
% 0.20/0.59  % (5348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (5348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (5348)Termination reason: Unknown
% 0.20/0.59  % (5348)Termination phase: Preprocessing 3
% 0.20/0.59  
% 0.20/0.59  % (5348)Memory used [KB]: 1663
% 0.20/0.59  % (5348)Time elapsed: 0.003 s
% 0.20/0.59  % (5348)Instructions burned: 4 (million)
% 0.20/0.59  % (5348)------------------------------
% 0.20/0.59  % (5348)------------------------------
% 0.20/0.59  % (5350)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.59  % (5364)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59  % (5364)Instruction limit reached!
% 0.20/0.59  % (5364)------------------------------
% 0.20/0.59  % (5364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (5364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (5364)Termination reason: Unknown
% 0.20/0.59  % (5364)Termination phase: SInE selection
% 0.20/0.59  
% 0.20/0.59  % (5364)Memory used [KB]: 1407
% 0.20/0.59  % (5364)Time elapsed: 0.003 s
% 0.20/0.59  % (5364)Instructions burned: 2 (million)
% 0.20/0.59  % (5364)------------------------------
% 0.20/0.59  % (5364)------------------------------
% 0.20/0.59  % (5362)Refutation not found, incomplete strategy% (5362)------------------------------
% 0.20/0.59  % (5362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (5362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (5362)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (5362)Memory used [KB]: 6652
% 0.20/0.59  % (5362)Time elapsed: 0.164 s
% 0.20/0.59  % (5362)Instructions burned: 16 (million)
% 0.20/0.59  % (5362)------------------------------
% 0.20/0.59  % (5362)------------------------------
% 0.20/0.59  % (5357)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.59  % (5366)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.59  % (5363)Instruction limit reached!
% 0.20/0.59  % (5363)------------------------------
% 0.20/0.59  % (5363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (5363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (5363)Termination reason: Unknown
% 0.20/0.59  % (5363)Termination phase: Naming
% 0.20/0.59  
% 0.20/0.59  % (5363)Memory used [KB]: 1535
% 0.20/0.59  % (5363)Time elapsed: 0.003 s
% 0.20/0.59  % (5363)Instructions burned: 3 (million)
% 0.20/0.59  % (5363)------------------------------
% 0.20/0.59  % (5363)------------------------------
% 0.20/0.59  % (5372)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59  % (5357)Instruction limit reached!
% 0.20/0.59  % (5357)------------------------------
% 0.20/0.59  % (5357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (5357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (5357)Termination reason: Unknown
% 0.20/0.59  % (5357)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (5357)Memory used [KB]: 6140
% 0.20/0.59  % (5357)Time elapsed: 0.005 s
% 0.20/0.59  % (5357)Instructions burned: 7 (million)
% 0.20/0.59  % (5357)------------------------------
% 0.20/0.59  % (5357)------------------------------
% 0.20/0.59  % (5356)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.59  % (5355)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.60  % (5358)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.89/0.60  % (5356)Instruction limit reached!
% 1.89/0.60  % (5356)------------------------------
% 1.89/0.60  % (5356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (5356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (5356)Termination reason: Unknown
% 1.89/0.60  % (5356)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (5356)Memory used [KB]: 6268
% 1.89/0.60  % (5356)Time elapsed: 0.183 s
% 1.89/0.60  % (5356)Instructions burned: 13 (million)
% 1.89/0.60  % (5356)------------------------------
% 1.89/0.60  % (5356)------------------------------
% 1.89/0.60  % (5374)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.89/0.60  % (5353)Instruction limit reached!
% 1.89/0.60  % (5353)------------------------------
% 1.89/0.60  % (5353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (5353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (5353)Termination reason: Unknown
% 1.89/0.60  % (5353)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (5353)Memory used [KB]: 6524
% 1.89/0.60  % (5353)Time elapsed: 0.160 s
% 1.89/0.60  % (5353)Instructions burned: 39 (million)
% 1.89/0.60  % (5353)------------------------------
% 1.89/0.60  % (5353)------------------------------
% 1.89/0.61  % (5374)Instruction limit reached!
% 1.89/0.61  % (5374)------------------------------
% 1.89/0.61  % (5374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (5374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61  % (5374)Termination reason: Unknown
% 1.89/0.61  % (5374)Termination phase: Function definition elimination
% 1.89/0.61  
% 1.89/0.61  % (5374)Memory used [KB]: 1791
% 1.89/0.61  % (5374)Time elapsed: 0.006 s
% 1.89/0.61  % (5374)Instructions burned: 8 (million)
% 1.89/0.61  % (5374)------------------------------
% 1.89/0.61  % (5374)------------------------------
% 1.89/0.61  % (5347)Instruction limit reached!
% 1.89/0.61  % (5347)------------------------------
% 1.89/0.61  % (5347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (5347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61  % (5347)Termination reason: Unknown
% 1.89/0.61  % (5347)Termination phase: Saturation
% 1.89/0.61  
% 1.89/0.61  % (5347)Memory used [KB]: 6396
% 1.89/0.61  % (5347)Time elapsed: 0.008 s
% 1.89/0.61  % (5347)Instructions burned: 13 (million)
% 1.89/0.61  % (5347)------------------------------
% 1.89/0.61  % (5347)------------------------------
% 1.89/0.61  % (5346)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.89/0.61  % (5365)Refutation not found, incomplete strategy% (5365)------------------------------
% 1.89/0.61  % (5365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (5365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61  % (5365)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.61  
% 1.89/0.61  % (5365)Memory used [KB]: 6268
% 1.89/0.61  % (5365)Time elapsed: 0.188 s
% 1.89/0.61  % (5365)Instructions burned: 8 (million)
% 1.89/0.61  % (5365)------------------------------
% 1.89/0.61  % (5365)------------------------------
% 1.89/0.61  % (5351)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.89/0.61  % (5352)Instruction limit reached!
% 1.89/0.61  % (5352)------------------------------
% 1.89/0.61  % (5352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61  % (5350)Instruction limit reached!
% 1.89/0.61  % (5350)------------------------------
% 1.89/0.61  % (5350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62  % (5375)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 2.04/0.62  % (5350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62  % (5350)Termination reason: Unknown
% 2.04/0.62  % (5350)Termination phase: Saturation
% 2.04/0.62  
% 2.04/0.62  % (5350)Memory used [KB]: 6268
% 2.04/0.62  % (5350)Time elapsed: 0.189 s
% 2.04/0.62  % (5350)Instructions burned: 14 (million)
% 2.04/0.62  % (5350)------------------------------
% 2.04/0.62  % (5350)------------------------------
% 2.04/0.62  % (5369)Instruction limit reached!
% 2.04/0.62  % (5369)------------------------------
% 2.04/0.62  % (5369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62  % (5369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62  % (5369)Termination reason: Unknown
% 2.04/0.62  % (5369)Termination phase: Saturation
% 2.04/0.62  
% 2.04/0.62  % (5369)Memory used [KB]: 2174
% 2.04/0.62  % (5369)Time elapsed: 0.177 s
% 2.04/0.62  % (5369)Instructions burned: 46 (million)
% 2.04/0.62  % (5369)------------------------------
% 2.04/0.62  % (5369)------------------------------
% 2.11/0.63  % (5359)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.11/0.63  % (5358)Instruction limit reached!
% 2.11/0.63  % (5358)------------------------------
% 2.11/0.63  % (5358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (5358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (5358)Termination reason: Unknown
% 2.11/0.63  % (5358)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (5358)Memory used [KB]: 2046
% 2.11/0.63  % (5358)Time elapsed: 0.209 s
% 2.11/0.63  % (5358)Instructions burned: 17 (million)
% 2.11/0.63  % (5358)------------------------------
% 2.11/0.63  % (5358)------------------------------
% 2.11/0.63  % (5367)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.11/0.64  % (5373)Instruction limit reached!
% 2.11/0.64  % (5373)------------------------------
% 2.11/0.64  % (5373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (5352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (5352)Termination reason: Unknown
% 2.11/0.64  % (5352)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (5352)Memory used [KB]: 6524
% 2.11/0.64  % (5352)Time elapsed: 0.192 s
% 2.11/0.64  % (5352)Instructions burned: 39 (million)
% 2.11/0.64  % (5352)------------------------------
% 2.11/0.64  % (5352)------------------------------
% 2.11/0.64  % (5373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (5373)Termination reason: Unknown
% 2.11/0.64  % (5373)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (5373)Memory used [KB]: 6652
% 2.11/0.64  % (5373)Time elapsed: 0.221 s
% 2.11/0.64  % (5373)Instructions burned: 25 (million)
% 2.11/0.64  % (5373)------------------------------
% 2.11/0.64  % (5373)------------------------------
% 2.11/0.64  % (5366)First to succeed.
% 2.11/0.64  % (5355)Instruction limit reached!
% 2.11/0.64  % (5355)------------------------------
% 2.11/0.64  % (5355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (5355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (5355)Termination reason: Unknown
% 2.11/0.64  % (5355)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (5355)Memory used [KB]: 6652
% 2.11/0.64  % (5355)Time elapsed: 0.167 s
% 2.11/0.64  % (5355)Instructions burned: 34 (million)
% 2.11/0.64  % (5355)------------------------------
% 2.11/0.64  % (5355)------------------------------
% 2.11/0.64  % (5354)Instruction limit reached!
% 2.11/0.64  % (5354)------------------------------
% 2.11/0.64  % (5354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (5354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (5354)Termination reason: Unknown
% 2.11/0.64  % (5354)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (5354)Memory used [KB]: 6780
% 2.11/0.64  % (5354)Time elapsed: 0.200 s
% 2.11/0.64  % (5354)Instructions burned: 50 (million)
% 2.11/0.64  % (5354)------------------------------
% 2.11/0.64  % (5354)------------------------------
% 2.11/0.64  % (5351)Instruction limit reached!
% 2.11/0.64  % (5351)------------------------------
% 2.11/0.64  % (5351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (5351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (5351)Termination reason: Unknown
% 2.11/0.64  % (5351)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (5351)Memory used [KB]: 1791
% 2.11/0.64  % (5351)Time elapsed: 0.226 s
% 2.11/0.64  % (5351)Instructions burned: 16 (million)
% 2.11/0.64  % (5351)------------------------------
% 2.11/0.64  % (5351)------------------------------
% 2.11/0.64  % (5366)Refutation found. Thanks to Tanya!
% 2.11/0.64  % SZS status Theorem for theBenchmark
% 2.11/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.64  % (5366)------------------------------
% 2.11/0.64  % (5366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (5366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (5366)Termination reason: Refutation
% 2.11/0.64  
% 2.11/0.64  % (5366)Memory used [KB]: 6652
% 2.11/0.64  % (5366)Time elapsed: 0.211 s
% 2.11/0.64  % (5366)Instructions burned: 27 (million)
% 2.11/0.64  % (5366)------------------------------
% 2.11/0.64  % (5366)------------------------------
% 2.11/0.64  % (5345)Success in time 0.298 s
%------------------------------------------------------------------------------