TSTP Solution File: SWC274+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC274+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 : n010.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 18:40:03 EDT 2022

% Result   : Theorem 1.37s 0.57s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   43 (   7 unt;   0 def)
%            Number of atoms       :  296 (  48 equ)
%            Maximal formula atoms :   27 (   6 avg)
%            Number of connectives :  402 ( 149   ~; 162   |;  54   &)
%                                         (   9 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   9 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  131 ( 101   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f752,plain,
    $false,
    inference(subsumption_resolution,[],[f751,f397]) ).

fof(f397,plain,
    ~ totalorderedP(sK46),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2
                  & ~ totalorderedP(X0)
                  & ssList(X3)
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(app(X4,X2),X5) = X3
                          & ssList(X5)
                          & ! [X6] :
                              ( ! [X7] :
                                  ( app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | ! [X9] :
                                          ( ~ lt(X8,X6)
                                          | app(X9,cons(X8,nil)) != X2
                                          | ~ ssList(X9) ) )
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & strictorderedP(X2)
                          & ! [X10] :
                              ( ! [X11] :
                                  ( ~ ssList(X11)
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( app(cons(X12,nil),X13) != X2
                                          | ~ ssList(X13)
                                          | ~ lt(X10,X12) ) )
                                  | app(X11,cons(X10,nil)) != X4 )
                              | ~ ssItem(X10) ) )
                      & ssList(X4) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( totalorderedP(X0)
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ? [X10] :
                                ( ssItem(X10)
                                & ? [X11] :
                                    ( ? [X12] :
                                        ( ? [X13] :
                                            ( lt(X10,X12)
                                            & app(cons(X12,nil),X13) = X2
                                            & ssList(X13) )
                                        & ssItem(X12) )
                                    & ssList(X11)
                                    & app(X11,cons(X10,nil)) = X4 ) )
                            | ? [X6] :
                                ( ? [X7] :
                                    ( ssList(X7)
                                    & app(cons(X6,nil),X7) = X5
                                    & ? [X8] :
                                        ( ? [X9] :
                                            ( app(X9,cons(X8,nil)) = X2
                                            & lt(X8,X6)
                                            & ssList(X9) )
                                        & ssItem(X8) ) )
                                & ssItem(X6) )
                            | ~ strictorderedP(X2)
                            | app(app(X4,X2),X5) != X3
                            | ~ ssList(X5) ) )
                    | X1 != X3
                    | X0 != X2
                    | ( nil = X2
                      & nil != X3 )
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( totalorderedP(X0)
                    | ( nil = X2
                      & nil != X3 )
                    | X0 != X2
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ? [X10] :
                                ( ssItem(X10)
                                & ? [X11] :
                                    ( ssList(X11)
                                    & app(cons(X10,nil),X11) = X5
                                    & ? [X12] :
                                        ( ssItem(X12)
                                        & ? [X13] :
                                            ( ssList(X13)
                                            & app(X13,cons(X12,nil)) = X2
                                            & lt(X12,X10) ) ) ) )
                            | app(app(X4,X2),X5) != X3
                            | ~ strictorderedP(X2)
                            | ~ ssList(X5)
                            | ? [X6] :
                                ( ssItem(X6)
                                & ? [X7] :
                                    ( app(X7,cons(X6,nil)) = X4
                                    & ssList(X7)
                                    & ? [X8] :
                                        ( ? [X9] :
                                            ( app(cons(X8,nil),X9) = X2
                                            & ssList(X9)
                                            & lt(X6,X8) )
                                        & ssItem(X8) ) ) ) ) )
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( totalorderedP(X0)
                  | ( nil = X2
                    & nil != X3 )
                  | X0 != X2
                  | ! [X4] :
                      ( ssList(X4)
                     => ! [X5] :
                          ( ? [X10] :
                              ( ssItem(X10)
                              & ? [X11] :
                                  ( ssList(X11)
                                  & app(cons(X10,nil),X11) = X5
                                  & ? [X12] :
                                      ( ssItem(X12)
                                      & ? [X13] :
                                          ( ssList(X13)
                                          & app(X13,cons(X12,nil)) = X2
                                          & lt(X12,X10) ) ) ) )
                          | app(app(X4,X2),X5) != X3
                          | ~ strictorderedP(X2)
                          | ~ ssList(X5)
                          | ? [X6] :
                              ( ssItem(X6)
                              & ? [X7] :
                                  ( app(X7,cons(X6,nil)) = X4
                                  & ssList(X7)
                                  & ? [X8] :
                                      ( ? [X9] :
                                          ( app(cons(X8,nil),X9) = X2
                                          & ssList(X9)
                                          & lt(X6,X8) )
                                      & ssItem(X8) ) ) ) ) )
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f751,plain,
    totalorderedP(sK46),
    inference(subsumption_resolution,[],[f747,f402]) ).

fof(f402,plain,
    ssList(sK46),
    inference(cnf_transformation,[],[f147]) ).

fof(f747,plain,
    ( ~ ssList(sK46)
    | totalorderedP(sK46) ),
    inference(resolution,[],[f744,f423]) ).

fof(f423,plain,
    strictorderedP(sK46),
    inference(definition_unfolding,[],[f391,f398]) ).

fof(f398,plain,
    sK48 = sK46,
    inference(cnf_transformation,[],[f147]) ).

fof(f391,plain,
    strictorderedP(sK48),
    inference(cnf_transformation,[],[f147]) ).

fof(f744,plain,
    ! [X5] :
      ( ~ strictorderedP(X5)
      | totalorderedP(X5)
      | ~ ssList(X5) ),
    inference(subsumption_resolution,[],[f743,f373]) ).

fof(f373,plain,
    ! [X0] :
      ( ssItem(sK34(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ~ ssItem(X2)
                | ! [X3] :
                    ( ~ ssList(X3)
                    | ! [X4] :
                        ( ! [X5] :
                            ( ~ ssList(X5)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 )
                        | ~ ssList(X4) ) ) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => leq(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f743,plain,
    ! [X5] :
      ( ~ strictorderedP(X5)
      | ~ ssItem(sK34(X5))
      | totalorderedP(X5)
      | ~ ssList(X5) ),
    inference(subsumption_resolution,[],[f742,f372]) ).

fof(f372,plain,
    ! [X0] :
      ( ssItem(sK35(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f742,plain,
    ! [X5] :
      ( ~ ssList(X5)
      | totalorderedP(X5)
      | ~ strictorderedP(X5)
      | ~ ssItem(sK35(X5))
      | ~ ssItem(sK34(X5)) ),
    inference(subsumption_resolution,[],[f737,f368]) ).

fof(f368,plain,
    ! [X0] :
      ( ~ leq(sK34(X0),sK35(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f737,plain,
    ! [X5] :
      ( totalorderedP(X5)
      | ~ ssList(X5)
      | leq(sK34(X5),sK35(X5))
      | ~ ssItem(sK34(X5))
      | ~ strictorderedP(X5)
      | ~ ssItem(sK35(X5)) ),
    inference(resolution,[],[f674,f295]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( lt(X0,X1)
          <=> ( X0 != X1
              & leq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
          <=> ( X0 != X1
              & leq(X0,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f674,plain,
    ! [X0] :
      ( lt(sK34(X0),sK35(X0))
      | ~ ssList(X0)
      | ~ strictorderedP(X0)
      | totalorderedP(X0) ),
    inference(subsumption_resolution,[],[f673,f370]) ).

fof(f370,plain,
    ! [X0] :
      ( ssList(sK37(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f673,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | totalorderedP(X0)
      | lt(sK34(X0),sK35(X0))
      | ~ ssList(sK37(X0))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f672,f373]) ).

fof(f672,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ strictorderedP(X0)
      | lt(sK34(X0),sK35(X0))
      | totalorderedP(X0)
      | ~ ssItem(sK34(X0))
      | ~ ssList(sK37(X0)) ),
    inference(subsumption_resolution,[],[f671,f371]) ).

fof(f371,plain,
    ! [X0] :
      ( ssList(sK36(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f671,plain,
    ! [X0] :
      ( ~ ssList(sK36(X0))
      | totalorderedP(X0)
      | lt(sK34(X0),sK35(X0))
      | ~ strictorderedP(X0)
      | ~ ssList(X0)
      | ~ ssItem(sK34(X0))
      | ~ ssList(sK37(X0)) ),
    inference(subsumption_resolution,[],[f670,f372]) ).

fof(f670,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | ~ ssItem(sK35(X0))
      | ~ ssItem(sK34(X0))
      | ~ ssList(X0)
      | ~ ssList(sK36(X0))
      | ~ ssList(sK37(X0))
      | lt(sK34(X0),sK35(X0))
      | ~ strictorderedP(X0) ),
    inference(subsumption_resolution,[],[f669,f369]) ).

fof(f369,plain,
    ! [X0] :
      ( ssList(sK38(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f669,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderedP(X0)
      | ~ ssList(sK38(X0))
      | ~ ssItem(sK35(X0))
      | ~ ssList(sK37(X0))
      | lt(sK34(X0),sK35(X0))
      | ~ ssList(sK36(X0))
      | ~ ssItem(sK34(X0))
      | ~ strictorderedP(X0) ),
    inference(duplicate_literal_removal,[],[f663]) ).

fof(f663,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | lt(sK34(X0),sK35(X0))
      | totalorderedP(X0)
      | ~ ssList(sK38(X0))
      | ~ ssList(X0)
      | ~ ssList(sK37(X0))
      | ~ strictorderedP(X0)
      | ~ ssItem(sK34(X0))
      | ~ ssItem(sK35(X0))
      | ~ ssList(sK36(X0)) ),
    inference(resolution,[],[f496,f494]) ).

fof(f494,plain,
    ! [X0] :
      ( sQ53_eqProxy(app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))),X0)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(equality_proxy_replacement,[],[f367,f426]) ).

fof(f426,plain,
    ! [X0,X1] :
      ( sQ53_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ53_eqProxy])]) ).

fof(f367,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f496,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sQ53_eqProxy(app(app(X3,cons(X1,X4)),cons(X2,X5)),X0)
      | ~ ssList(X4)
      | ~ strictorderedP(X0)
      | ~ ssList(X0)
      | lt(X1,X2)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X5)
      | ~ ssItem(X2) ),
    inference(equality_proxy_replacement,[],[f377,f426]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strictorderedP(X0)
      | ~ ssItem(X2)
      | lt(X1,X2)
      | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X3)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ! [X1] :
            ( ~ ssItem(X1)
            | ! [X2] :
                ( ! [X3] :
                    ( ~ ssList(X3)
                    | ! [X4] :
                        ( ~ ssList(X4)
                        | ! [X5] :
                            ( ~ ssList(X5)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | lt(X1,X2) ) ) )
                | ~ ssItem(X2) ) )
      <=> strictorderedP(X0) ) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => lt(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC274+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:34:44 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.44  % (31131)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)
% 0.19/0.44  % (31113)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)
% 0.19/0.45  % (31113)Instruction limit reached!
% 0.19/0.45  % (31113)------------------------------
% 0.19/0.45  % (31113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (31131)Instruction limit reached!
% 0.19/0.45  % (31131)------------------------------
% 0.19/0.45  % (31131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (31113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (31113)Termination reason: Unknown
% 0.19/0.45  % (31113)Termination phase: Saturation
% 0.19/0.45  
% 0.19/0.45  % (31113)Memory used [KB]: 6396
% 0.19/0.45  % (31113)Time elapsed: 0.060 s
% 0.19/0.45  % (31113)Instructions burned: 12 (million)
% 0.19/0.45  % (31113)------------------------------
% 0.19/0.45  % (31113)------------------------------
% 0.19/0.46  % (31131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (31131)Termination reason: Unknown
% 0.19/0.46  % (31131)Termination phase: Function definition elimination
% 0.19/0.46  
% 0.19/0.46  % (31131)Memory used [KB]: 1791
% 0.19/0.46  % (31131)Time elapsed: 0.008 s
% 0.19/0.46  % (31131)Instructions burned: 8 (million)
% 0.19/0.46  % (31131)------------------------------
% 0.19/0.46  % (31131)------------------------------
% 1.28/0.52  % (31107)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)
% 1.28/0.52  % (31123)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)
% 1.37/0.53  % (31132)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)
% 1.37/0.53  % (31125)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)
% 1.37/0.53  % (31106)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)
% 1.37/0.53  % (31103)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.37/0.53  % (31105)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)
% 1.37/0.53  % (31130)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)
% 1.37/0.53  % (31110)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)
% 1.37/0.53  % (31114)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)
% 1.37/0.53  % (31112)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)
% 1.37/0.53  % (31124)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)
% 1.37/0.53  % (31114)Instruction limit reached!
% 1.37/0.53  % (31114)------------------------------
% 1.37/0.53  % (31114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (31114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (31114)Termination reason: Unknown
% 1.37/0.53  % (31114)Termination phase: Saturation
% 1.37/0.53  
% 1.37/0.53  % (31114)Memory used [KB]: 6140
% 1.37/0.53  % (31114)Time elapsed: 0.005 s
% 1.37/0.53  % (31114)Instructions burned: 7 (million)
% 1.37/0.53  % (31114)------------------------------
% 1.37/0.53  % (31114)------------------------------
% 1.37/0.53  % (31122)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)
% 1.37/0.54  % (31109)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)
% 1.37/0.54  % (31108)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)
% 1.37/0.54  % (31104)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)
% 1.37/0.54  % (31117)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)
% 1.37/0.54  % (31117)Instruction limit reached!
% 1.37/0.54  % (31117)------------------------------
% 1.37/0.54  % (31117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (31117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (31117)Termination reason: Unknown
% 1.37/0.54  % (31117)Termination phase: Preprocessing 2
% 1.37/0.54  
% 1.37/0.54  % (31117)Memory used [KB]: 1535
% 1.37/0.54  % (31117)Time elapsed: 0.003 s
% 1.37/0.54  % (31117)Instructions burned: 3 (million)
% 1.37/0.54  % (31117)------------------------------
% 1.37/0.54  % (31117)------------------------------
% 1.37/0.54  % (31129)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)
% 1.37/0.54  % (31115)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)
% 1.37/0.54  % (31126)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)
% 1.37/0.54  % (31128)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)
% 1.37/0.54  % (31111)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)
% 1.37/0.54  % (31121)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)
% 1.37/0.54  % (31121)Instruction limit reached!
% 1.37/0.54  % (31121)------------------------------
% 1.37/0.54  % (31121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (31121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (31121)Termination reason: Unknown
% 1.37/0.54  % (31121)Termination phase: Preprocessing 1
% 1.37/0.54  
% 1.37/0.54  % (31121)Memory used [KB]: 1407
% 1.37/0.54  % (31121)Time elapsed: 0.002 s
% 1.37/0.54  % (31121)Instructions burned: 2 (million)
% 1.37/0.54  % (31121)------------------------------
% 1.37/0.54  % (31121)------------------------------
% 1.37/0.55  % (31105)Instruction limit reached!
% 1.37/0.55  % (31105)------------------------------
% 1.37/0.55  % (31105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (31105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (31105)Termination reason: Unknown
% 1.37/0.55  % (31105)Termination phase: Preprocessing 3
% 1.37/0.55  
% 1.37/0.55  % (31105)Memory used [KB]: 1663
% 1.37/0.55  % (31105)Time elapsed: 0.003 s
% 1.37/0.55  % (31105)Instructions burned: 4 (million)
% 1.37/0.55  % (31105)------------------------------
% 1.37/0.55  % (31105)------------------------------
% 1.37/0.55  % (31118)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)
% 1.37/0.55  % (31107)Instruction limit reached!
% 1.37/0.55  % (31107)------------------------------
% 1.37/0.55  % (31107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (31107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (31107)Termination reason: Unknown
% 1.37/0.55  % (31107)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (31107)Memory used [KB]: 6268
% 1.37/0.55  % (31107)Time elapsed: 0.155 s
% 1.37/0.55  % (31107)Instructions burned: 14 (million)
% 1.37/0.55  % (31107)------------------------------
% 1.37/0.55  % (31107)------------------------------
% 1.37/0.55  % (31116)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)
% 1.37/0.55  % (31120)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.55  % (31120)Instruction limit reached!
% 1.37/0.55  % (31120)------------------------------
% 1.37/0.55  % (31120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (31118)Instruction limit reached!
% 1.37/0.55  % (31118)------------------------------
% 1.37/0.55  % (31118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (31118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (31118)Termination reason: Unknown
% 1.37/0.55  % (31118)Termination phase: Property scanning
% 1.37/0.55  
% 1.37/0.55  % (31118)Memory used [KB]: 1791
% 1.37/0.55  % (31118)Time elapsed: 0.004 s
% 1.37/0.55  % (31118)Instructions burned: 8 (million)
% 1.37/0.55  % (31118)------------------------------
% 1.37/0.55  % (31118)------------------------------
% 1.37/0.55  % (31120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (31120)Termination reason: Unknown
% 1.37/0.55  % (31120)Termination phase: Naming
% 1.37/0.55  
% 1.37/0.55  % (31120)Memory used [KB]: 1535
% 1.37/0.55  % (31120)Time elapsed: 0.003 s
% 1.37/0.55  % (31120)Instructions burned: 3 (million)
% 1.37/0.55  % (31120)------------------------------
% 1.37/0.55  % (31120)------------------------------
% 1.37/0.55  % (31133)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.37/0.55  % (31134)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.37/0.55  % (31127)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)
% 1.37/0.56  % (31119)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)
% 1.37/0.56  % (31134)Instruction limit reached!
% 1.37/0.56  % (31134)------------------------------
% 1.37/0.56  % (31134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (31134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (31134)Termination reason: Unknown
% 1.37/0.56  % (31134)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (31134)Memory used [KB]: 10618
% 1.37/0.56  % (31134)Time elapsed: 0.013 s
% 1.37/0.56  % (31134)Instructions burned: 7 (million)
% 1.37/0.56  % (31134)------------------------------
% 1.37/0.56  % (31134)------------------------------
% 1.37/0.56  % (31122)Instruction limit reached!
% 1.37/0.56  % (31122)------------------------------
% 1.37/0.56  % (31122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (31122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (31122)Termination reason: Unknown
% 1.37/0.56  % (31122)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (31122)Memory used [KB]: 6268
% 1.37/0.56  % (31122)Time elapsed: 0.166 s
% 1.37/0.56  % (31122)Instructions burned: 12 (million)
% 1.37/0.56  % (31122)------------------------------
% 1.37/0.56  % (31122)------------------------------
% 1.37/0.56  % (31108)Instruction limit reached!
% 1.37/0.56  % (31108)------------------------------
% 1.37/0.56  % (31108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (31108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (31108)Termination reason: Unknown
% 1.37/0.56  % (31108)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (31108)Memory used [KB]: 1791
% 1.37/0.56  % (31108)Time elapsed: 0.147 s
% 1.37/0.56  % (31108)Instructions burned: 15 (million)
% 1.37/0.56  % (31108)------------------------------
% 1.37/0.56  % (31108)------------------------------
% 1.37/0.56  % (31115)Instruction limit reached!
% 1.37/0.56  % (31115)------------------------------
% 1.37/0.56  % (31115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (31115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (31115)Termination reason: Unknown
% 1.37/0.56  % (31115)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (31115)Memory used [KB]: 2046
% 1.37/0.56  % (31115)Time elapsed: 0.169 s
% 1.37/0.56  % (31115)Instructions burned: 18 (million)
% 1.37/0.56  % (31115)------------------------------
% 1.37/0.56  % (31115)------------------------------
% 1.37/0.56  % (31104)Instruction limit reached!
% 1.37/0.56  % (31104)------------------------------
% 1.37/0.56  % (31104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (31104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (31104)Termination reason: Unknown
% 1.37/0.56  % (31104)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (31104)Memory used [KB]: 6524
% 1.37/0.56  % (31104)Time elapsed: 0.160 s
% 1.37/0.56  % (31104)Instructions burned: 14 (million)
% 1.37/0.56  % (31104)------------------------------
% 1.37/0.56  % (31104)------------------------------
% 1.37/0.56  % (31112)Instruction limit reached!
% 1.37/0.56  % (31112)------------------------------
% 1.37/0.56  % (31112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (31112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (31112)Termination reason: Unknown
% 1.37/0.56  % (31112)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (31112)Memory used [KB]: 6780
% 1.37/0.56  % (31112)Time elapsed: 0.165 s
% 1.37/0.56  % (31112)Instructions burned: 33 (million)
% 1.37/0.56  % (31112)------------------------------
% 1.37/0.56  % (31112)------------------------------
% 1.37/0.57  % (31123)First to succeed.
% 1.37/0.57  % (31132)Instruction limit reached!
% 1.37/0.57  % (31132)------------------------------
% 1.37/0.57  % (31132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (31132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57  % (31132)Termination reason: Unknown
% 1.37/0.57  % (31132)Termination phase: Saturation
% 1.37/0.57  
% 1.37/0.57  % (31132)Memory used [KB]: 6524
% 1.37/0.57  % (31132)Time elapsed: 0.178 s
% 1.37/0.57  % (31132)Instructions burned: 25 (million)
% 1.37/0.57  % (31132)------------------------------
% 1.37/0.57  % (31132)------------------------------
% 1.37/0.57  % (31123)Refutation found. Thanks to Tanya!
% 1.37/0.57  % SZS status Theorem for theBenchmark
% 1.37/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.57  % (31123)------------------------------
% 1.37/0.57  % (31123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (31123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57  % (31123)Termination reason: Refutation
% 1.37/0.57  
% 1.37/0.57  % (31123)Memory used [KB]: 6396
% 1.37/0.57  % (31123)Time elapsed: 0.162 s
% 1.37/0.57  % (31123)Instructions burned: 23 (million)
% 1.37/0.57  % (31123)------------------------------
% 1.37/0.57  % (31123)------------------------------
% 1.37/0.57  % (31102)Success in time 0.22 s
%------------------------------------------------------------------------------