TSTP Solution File: LCL947_10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% 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 : Mon May 22 15:38:38 EDT 2023

% Result   : Theorem 2.53s 0.72s
% Output   : Refutation 2.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   54
% Syntax   : Number of formulae    :   75 (   9 unt;  46 typ;   0 def)
%            Number of atoms       :  171 (   0 equ)
%            Maximal formula atoms :    9 (   5 avg)
%            Number of connectives :  152 (  53   ~;  41   |;  23   &)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   43 (  43 fml;   0 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  128 (  42   >;  86   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   2 prp; 0-4 aty)
%            Number of functors    :   39 (  39 usr;   3 con; 0-4 aty)
%            Number of variables   :   85 (;  70   !;  15   ?;  63   :)

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

tff(func_def_0,type,
    '$ki_local_world': '$ki_world' ).

tff(func_def_2,type,
    sK1: '$ki_world' ).

tff(func_def_4,type,
    sK3: '$ki_world' ).

tff(func_def_5,type,
    sK4: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_6,type,
    sK5: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_7,type,
    sK6: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_8,type,
    sK7: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_9,type,
    sK8: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_10,type,
    sK9: ( $i * $i * '$ki_world' ) > $i ).

tff(func_def_11,type,
    sK10: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_12,type,
    sK11: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_13,type,
    sK12: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_14,type,
    sK13: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_15,type,
    sK14: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_16,type,
    sK15: '$ki_world' > $i ).

tff(func_def_17,type,
    sK16: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_18,type,
    sK17: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_19,type,
    sK18: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_20,type,
    sK19: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_21,type,
    sK20: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_22,type,
    sK21: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_23,type,
    sK22: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_24,type,
    sK23: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_25,type,
    sK24: ( $i * $i * '$ki_world' ) > $i ).

tff(func_def_26,type,
    sK25: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_27,type,
    sK26: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_28,type,
    sK27: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_29,type,
    sK28: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_30,type,
    sK29: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_31,type,
    sK30: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_32,type,
    sK31: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_33,type,
    sK32: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_34,type,
    sK33: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_35,type,
    sK34: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_36,type,
    sK35: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_37,type,
    sK36: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_38,type,
    sK37: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_39,type,
    sK38: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(func_def_40,type,
    sK39: ( $i * $i * '$ki_world' ) > '$ki_world' ).

tff(pred_def_1,type,
    '$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).

tff(pred_def_2,type,
    qmltpeq: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_3,type,
    member: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_4,type,
    subset: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_5,type,
    '$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).

tff(pred_def_6,type,
    sP0: ( $i * $i * $i * '$ki_world' ) > $o ).

tff(f349,plain,
    $false,
    inference(unit_resulting_resolution,[],[f145,f210,f210,f145,f144,f146,f147,f299,f230]) ).

tff(f230,plain,
    ! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X6: '$ki_world',X4: '$ki_world'] :
      ( ~ subset(sK39(X1,X3,X4),X1,X3)
      | ~ '$ki_accessible'(X4,X6)
      | ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | qmltpeq(X6,union(X1,X3),X3)
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X3) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f142,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ! [X1] :
          ( ! [X2: '$ki_world'] :
              ( ~ '$ki_accessible'(X0,X2)
              | ! [X3] :
                  ( ! [X4: '$ki_world'] :
                      ( ~ '$ki_accessible'(X2,X4)
                      | ( ~ subset(sK39(X1,X3,X4),X1,X3)
                        & '$ki_accessible'(X4,sK39(X1,X3,X4)) )
                      | ! [X6: '$ki_world'] :
                          ( ~ '$ki_accessible'(X4,X6)
                          | qmltpeq(X6,union(X1,X3),X3) ) )
                  | ~ '$ki_exists_in_world_$i'(X2,X3) ) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f62,f141]) ).

tff(f141,plain,
    ! [X1,X3,X4: '$ki_world'] :
      ( ? [X5: '$ki_world'] :
          ( ~ subset(X5,X1,X3)
          & '$ki_accessible'(X4,X5) )
     => ( ~ subset(sK39(X1,X3,X4),X1,X3)
        & '$ki_accessible'(X4,sK39(X1,X3,X4)) ) ),
    introduced(choice_axiom,[]) ).

tff(f62,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ! [X1] :
          ( ! [X2: '$ki_world'] :
              ( ~ '$ki_accessible'(X0,X2)
              | ! [X3] :
                  ( ! [X4: '$ki_world'] :
                      ( ~ '$ki_accessible'(X2,X4)
                      | ? [X5: '$ki_world'] :
                          ( ~ subset(X5,X1,X3)
                          & '$ki_accessible'(X4,X5) )
                      | ! [X6: '$ki_world'] :
                          ( ~ '$ki_accessible'(X4,X6)
                          | qmltpeq(X6,union(X1,X3),X3) ) )
                  | ~ '$ki_exists_in_world_$i'(X2,X3) ) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(flattening,[],[f61]) ).

tff(f61,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2: '$ki_world'] :
              ( ! [X3] :
                  ( ! [X4: '$ki_world'] :
                      ( ! [X6: '$ki_world'] :
                          ( ~ '$ki_accessible'(X4,X6)
                          | qmltpeq(X6,union(X1,X3),X3) )
                      | ? [X5: '$ki_world'] :
                          ( ~ subset(X5,X1,X3)
                          & '$ki_accessible'(X4,X5) )
                      | ~ '$ki_accessible'(X2,X4) )
                  | ~ '$ki_exists_in_world_$i'(X2,X3) )
              | ~ '$ki_accessible'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f29]) ).

tff(f29,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
         => ! [X2: '$ki_world'] :
              ( '$ki_accessible'(X0,X2)
             => ! [X3] :
                  ( '$ki_exists_in_world_$i'(X2,X3)
                 => ! [X4: '$ki_world'] :
                      ( '$ki_accessible'(X2,X4)
                     => ( ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X4,X5)
                           => subset(X5,X1,X3) )
                       => ! [X6: '$ki_world'] :
                            ( '$ki_accessible'(X4,X6)
                           => qmltpeq(X6,union(X1,X3),X3) ) ) ) ) ) ) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X11] :
          ( '$ki_exists_in_world_$i'(X0,X11)
         => ! [X4: '$ki_world'] :
              ( '$ki_accessible'(X0,X4)
             => ! [X12] :
                  ( '$ki_exists_in_world_$i'(X4,X12)
                 => ! [X6: '$ki_world'] :
                      ( '$ki_accessible'(X4,X6)
                     => ( ! [X7: '$ki_world'] :
                            ( '$ki_accessible'(X6,X7)
                           => subset(X7,X11,X12) )
                       => ! [X7: '$ki_world'] :
                            ( '$ki_accessible'(X6,X7)
                           => qmltpeq(X7,union(X11,X12),X12) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_union) ).

tff(f299,plain,
    subset(sK39(sK2,sK2,sK1),sK2,sK2),
    inference(unit_resulting_resolution,[],[f145,f144,f277,f231]) ).

tff(f231,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
      ( ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ '$ki_accessible'(X0,X2)
      | subset(X2,X1,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f72]) ).

tff(f72,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ! [X1] :
          ( ~ '$ki_exists_in_world_$i'(X0,X1)
          | ! [X2: '$ki_world'] :
              ( ~ '$ki_accessible'(X0,X2)
              | subset(X2,X1,X1) ) ) ),
    inference(ennf_transformation,[],[f39]) ).

tff(f39,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
         => ! [X2: '$ki_world'] :
              ( '$ki_accessible'(X0,X2)
             => subset(X2,X1,X1) ) ) ),
    inference(rectify,[],[f18]) ).

tff(f18,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X11] :
          ( '$ki_exists_in_world_$i'(X0,X11)
         => ! [X4: '$ki_world'] :
              ( '$ki_accessible'(X0,X4)
             => subset(X4,X11,X11) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).

tff(f277,plain,
    '$ki_accessible'(sK1,sK39(sK2,sK2,sK1)),
    inference(unit_resulting_resolution,[],[f146,f210,f144,f210,f145,f145,f147,f229]) ).

tff(f229,plain,
    ! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X6: '$ki_world',X4: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_accessible'(X2,X4)
      | qmltpeq(X6,union(X1,X3),X3)
      | ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ '$ki_accessible'(X0,X2)
      | '$ki_accessible'(X4,sK39(X1,X3,X4))
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ '$ki_accessible'(X4,X6) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f147,plain,
    ~ qmltpeq(sK3,union(sK2,sK2),sK2),
    inference(cnf_transformation,[],[f78]) ).

tff(f78,plain,
    ( ~ qmltpeq(sK3,union(sK2,sK2),sK2)
    & '$ki_accessible'(sK1,sK3)
    & '$ki_exists_in_world_$i'(sK1,sK2)
    & '$ki_accessible'('$ki_local_world',sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f71,f77,f76,f75]) ).

tff(f75,plain,
    ( ? [X0: '$ki_world'] :
        ( ? [X1] :
            ( ? [X2: '$ki_world'] :
                ( ~ qmltpeq(X2,union(X1,X1),X1)
                & '$ki_accessible'(X0,X2) )
            & '$ki_exists_in_world_$i'(X0,X1) )
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( ? [X1] :
          ( ? [X2: '$ki_world'] :
              ( ~ qmltpeq(X2,union(X1,X1),X1)
              & '$ki_accessible'(sK1,X2) )
          & '$ki_exists_in_world_$i'(sK1,X1) )
      & '$ki_accessible'('$ki_local_world',sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f76,plain,
    ( ? [X1] :
        ( ? [X2: '$ki_world'] :
            ( ~ qmltpeq(X2,union(X1,X1),X1)
            & '$ki_accessible'(sK1,X2) )
        & '$ki_exists_in_world_$i'(sK1,X1) )
   => ( ? [X2: '$ki_world'] :
          ( ~ qmltpeq(X2,union(sK2,sK2),sK2)
          & '$ki_accessible'(sK1,X2) )
      & '$ki_exists_in_world_$i'(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f77,plain,
    ( ? [X2: '$ki_world'] :
        ( ~ qmltpeq(X2,union(sK2,sK2),sK2)
        & '$ki_accessible'(sK1,X2) )
   => ( ~ qmltpeq(sK3,union(sK2,sK2),sK2)
      & '$ki_accessible'(sK1,sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f71,plain,
    ? [X0: '$ki_world'] :
      ( ? [X1] :
          ( ? [X2: '$ki_world'] :
              ( ~ qmltpeq(X2,union(X1,X1),X1)
              & '$ki_accessible'(X0,X2) )
          & '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f22,plain,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1] :
            ( '$ki_exists_in_world_$i'(X0,X1)
           => ! [X2: '$ki_world'] :
                ( '$ki_accessible'(X0,X2)
               => qmltpeq(X2,union(X1,X1),X1) ) ) ),
    inference(rectify,[],[f21]) ).

tff(f21,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X11] :
            ( '$ki_exists_in_world_$i'(X0,X11)
           => ! [X4: '$ki_world'] :
                ( '$ki_accessible'(X0,X4)
               => qmltpeq(X4,union(X11,X11),X11) ) ) ),
    inference(negated_conjecture,[],[f20]) ).

tff(f20,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X11] :
          ( '$ki_exists_in_world_$i'(X0,X11)
         => ! [X4: '$ki_world'] :
              ( '$ki_accessible'(X0,X4)
             => qmltpeq(X4,union(X11,X11),X11) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f146,plain,
    '$ki_accessible'(sK1,sK3),
    inference(cnf_transformation,[],[f78]) ).

tff(f144,plain,
    '$ki_accessible'('$ki_local_world',sK1),
    inference(cnf_transformation,[],[f78]) ).

tff(f210,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f145,plain,
    '$ki_exists_in_world_$i'(sK1,sK2),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% 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 : n015.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   : Mon May 22 12:14:56 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (31631)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)
% 1.43/0.54  % (31639)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)
% 1.43/0.56  % (31647)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)
% 1.43/0.56  % (31639)Instruction limit reached!
% 1.43/0.56  % (31639)------------------------------
% 1.43/0.56  % (31639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56  % (31639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56  % (31639)Termination reason: Unknown
% 1.43/0.56  % (31639)Termination phase: Preprocessing 3
% 1.43/0.56  
% 1.43/0.56  % (31639)Memory used [KB]: 1535
% 1.43/0.56  % (31639)Time elapsed: 0.005 s
% 1.43/0.56  % (31639)Instructions burned: 3 (million)
% 1.43/0.56  % (31639)------------------------------
% 1.43/0.56  % (31639)------------------------------
% 1.52/0.56  % (31640)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)
% 1.52/0.57  % (31632)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)
% 1.52/0.57  % (31648)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)
% 1.52/0.58  % (31640)Instruction limit reached!
% 1.52/0.58  % (31640)------------------------------
% 1.52/0.58  % (31640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.59  % (31640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.59  % (31640)Termination reason: Unknown
% 1.52/0.59  % (31640)Termination phase: Saturation
% 1.52/0.59  
% 1.52/0.59  % (31640)Memory used [KB]: 6140
% 1.52/0.59  % (31640)Time elapsed: 0.007 s
% 1.52/0.59  % (31640)Instructions burned: 7 (million)
% 1.52/0.59  % (31640)------------------------------
% 1.52/0.59  % (31640)------------------------------
% 1.52/0.59  % (31628)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)
% 1.52/0.59  % (31630)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)
% 1.52/0.59  % (31625)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.52/0.59  % (31626)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)
% 1.52/0.59  % (31631)Instruction limit reached!
% 1.52/0.59  % (31631)------------------------------
% 1.52/0.59  % (31631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61  % (31634)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)
% 1.52/0.61  % (31631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61  % (31631)Termination reason: Unknown
% 1.52/0.61  % (31631)Termination phase: Saturation
% 1.52/0.61  
% 1.52/0.61  % (31631)Memory used [KB]: 6268
% 1.52/0.61  % (31631)Time elapsed: 0.157 s
% 1.52/0.61  % (31631)Instructions burned: 40 (million)
% 1.52/0.61  % (31631)------------------------------
% 1.52/0.61  % (31631)------------------------------
% 1.52/0.61  % (31649)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)
% 1.52/0.61  % (31629)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)
% 1.52/0.62  % (31654)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)
% 1.52/0.62  % (31652)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)
% 1.52/0.62  % (31653)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)
% 1.52/0.62  % (31642)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.52/0.62  % (31641)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)
% 1.52/0.62  % (31642)Instruction limit reached!
% 1.52/0.62  % (31642)------------------------------
% 1.52/0.62  % (31642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.62  % (31642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.62  % (31642)Termination reason: Unknown
% 1.52/0.62  % (31642)Termination phase: Preprocessing 3
% 1.52/0.62  
% 1.52/0.62  % (31642)Memory used [KB]: 1663
% 1.52/0.62  % (31642)Time elapsed: 0.005 s
% 1.52/0.62  % (31642)Instructions burned: 4 (million)
% 1.52/0.62  % (31642)------------------------------
% 1.52/0.62  % (31642)------------------------------
% 1.52/0.63  % (31627)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)
% 1.52/0.63  % (31627)Instruction limit reached!
% 1.52/0.63  % (31627)------------------------------
% 1.52/0.63  % (31627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.63  % (31627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.63  % (31627)Termination reason: Unknown
% 1.52/0.63  % (31627)Termination phase: Preprocessing 3
% 1.52/0.63  
% 1.52/0.63  % (31627)Memory used [KB]: 1535
% 1.52/0.63  % (31627)Time elapsed: 0.003 s
% 1.52/0.63  % (31627)Instructions burned: 3 (million)
% 1.52/0.63  % (31627)------------------------------
% 1.52/0.63  % (31627)------------------------------
% 1.52/0.63  % (31644)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)
% 1.52/0.63  % (31646)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)
% 1.52/0.63  % (31645)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)
% 1.52/0.63  % (31633)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)
% 1.52/0.63  % (31643)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)
% 1.52/0.63  % (31636)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)
% 1.52/0.63  % (31638)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)
% 1.52/0.63  % (31650)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)
% 1.52/0.63  % (31637)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)
% 1.52/0.64  % (31651)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)
% 1.52/0.64  % (31636)Instruction limit reached!
% 1.52/0.64  % (31636)------------------------------
% 1.52/0.64  % (31636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (31636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.64  % (31636)Termination reason: Unknown
% 1.52/0.64  % (31636)Termination phase: Saturation
% 1.52/0.64  
% 1.52/0.64  % (31636)Memory used [KB]: 6140
% 1.52/0.64  % (31636)Time elapsed: 0.007 s
% 1.52/0.64  % (31636)Instructions burned: 7 (million)
% 1.52/0.64  % (31636)------------------------------
% 1.52/0.64  % (31636)------------------------------
% 1.52/0.64  % (31635)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)
% 1.52/0.64  % (31626)Instruction limit reached!
% 1.52/0.64  % (31626)------------------------------
% 1.52/0.64  % (31626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (31626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.64  % (31626)Termination reason: Unknown
% 1.52/0.64  % (31626)Termination phase: General splitting
% 1.52/0.64  
% 1.52/0.64  % (31626)Memory used [KB]: 1791
% 1.52/0.64  % (31626)Time elapsed: 0.010 s
% 1.52/0.64  % (31626)Instructions burned: 13 (million)
% 1.52/0.64  % (31626)------------------------------
% 1.52/0.64  % (31626)------------------------------
% 1.52/0.64  % (31629)Instruction limit reached!
% 1.52/0.64  % (31629)------------------------------
% 1.52/0.64  % (31629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (31630)Instruction limit reached!
% 1.52/0.64  % (31630)------------------------------
% 1.52/0.64  % (31630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (31632)Instruction limit reached!
% 1.52/0.64  % (31632)------------------------------
% 1.52/0.64  % (31632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (31653)Instruction limit reached!
% 1.52/0.64  % (31653)------------------------------
% 1.52/0.64  % (31653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.65  % (31648)Instruction limit reached!
% 1.52/0.65  % (31648)------------------------------
% 1.52/0.65  % (31648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.65  % (31653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.65  % (31653)Termination reason: Unknown
% 1.52/0.65  % (31653)Termination phase: Saturation
% 1.52/0.65  
% 1.52/0.65  % (31653)Memory used [KB]: 1791
% 1.52/0.65  % (31653)Time elapsed: 0.007 s
% 1.52/0.65  % (31653)Instructions burned: 8 (million)
% 1.52/0.65  % (31653)------------------------------
% 1.52/0.65  % (31653)------------------------------
% 2.27/0.65  % (31643)Instruction limit reached!
% 2.27/0.65  % (31643)------------------------------
% 2.27/0.65  % (31643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (31643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (31643)Termination reason: Unknown
% 2.27/0.65  % (31643)Termination phase: Preprocessing 3
% 2.27/0.65  
% 2.27/0.65  % (31643)Memory used [KB]: 1535
% 2.27/0.65  % (31643)Time elapsed: 0.004 s
% 2.27/0.65  % (31643)Instructions burned: 3 (million)
% 2.27/0.65  % (31643)------------------------------
% 2.27/0.65  % (31643)------------------------------
% 2.27/0.65  % (31632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (31632)Termination reason: Unknown
% 2.27/0.65  % (31632)Termination phase: Saturation
% 2.27/0.65  
% 2.27/0.65  % (31644)Instruction limit reached!
% 2.27/0.65  % (31644)------------------------------
% 2.27/0.65  % (31644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (31632)Memory used [KB]: 7164
% 2.27/0.65  % (31632)Time elapsed: 0.139 s
% 2.27/0.65  % (31644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (31632)Instructions burned: 39 (million)
% 2.27/0.65  % (31644)Termination reason: Unknown
% 2.27/0.65  % (31644)Termination phase: Saturation
% 2.27/0.65  % (31632)------------------------------
% 2.27/0.65  % (31632)------------------------------
% 2.27/0.65  
% 2.27/0.65  % (31644)Memory used [KB]: 6268
% 2.27/0.65  % (31644)Time elapsed: 0.215 s
% 2.27/0.65  % (31644)Instructions burned: 11 (million)
% 2.27/0.65  % (31644)------------------------------
% 2.27/0.65  % (31644)------------------------------
% 2.27/0.65  % (31629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (31629)Termination reason: Unknown
% 2.27/0.65  % (31629)Termination phase: Saturation
% 2.27/0.65  
% 2.27/0.65  % (31629)Memory used [KB]: 6140
% 2.27/0.65  % (31629)Time elapsed: 0.222 s
% 2.27/0.65  % (31629)Instructions burned: 14 (million)
% 2.27/0.65  % (31629)------------------------------
% 2.27/0.65  % (31629)------------------------------
% 2.27/0.66  % (31637)Refutation not found, incomplete strategy% (31637)------------------------------
% 2.27/0.66  % (31637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66  % (31637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (31637)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.66  
% 2.27/0.66  % (31637)Memory used [KB]: 1918
% 2.27/0.66  % (31637)Time elapsed: 0.236 s
% 2.27/0.66  % (31637)Instructions burned: 13 (million)
% 2.27/0.66  % (31637)------------------------------
% 2.27/0.66  % (31637)------------------------------
% 2.27/0.66  % (31648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (31648)Termination reason: Unknown
% 2.27/0.66  % (31648)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (31648)Memory used [KB]: 2686
% 2.27/0.66  % (31648)Time elapsed: 0.161 s
% 2.27/0.66  % (31648)Instructions burned: 46 (million)
% 2.27/0.66  % (31648)------------------------------
% 2.27/0.66  % (31648)------------------------------
% 2.27/0.66  % (31630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (31630)Termination reason: Unknown
% 2.27/0.66  % (31630)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (31630)Memory used [KB]: 1791
% 2.27/0.66  % (31630)Time elapsed: 0.221 s
% 2.27/0.66  % (31630)Instructions burned: 16 (million)
% 2.27/0.66  % (31630)------------------------------
% 2.27/0.66  % (31630)------------------------------
% 2.27/0.67  % (31654)Instruction limit reached!
% 2.27/0.67  % (31654)------------------------------
% 2.27/0.67  % (31654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.67  % (31654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67  % (31654)Termination reason: Unknown
% 2.27/0.67  % (31654)Termination phase: Saturation
% 2.27/0.67  
% 2.27/0.67  % (31654)Memory used [KB]: 6396
% 2.27/0.67  % (31654)Time elapsed: 0.231 s
% 2.27/0.67  % (31654)Instructions burned: 25 (million)
% 2.27/0.67  % (31654)------------------------------
% 2.27/0.67  % (31654)------------------------------
% 2.27/0.67  % (31635)Instruction limit reached!
% 2.27/0.67  % (31635)------------------------------
% 2.27/0.67  % (31635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.67  % (31635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67  % (31635)Termination reason: Unknown
% 2.27/0.67  % (31635)Termination phase: Saturation
% 2.27/0.67  
% 2.27/0.67  % (31635)Memory used [KB]: 6396
% 2.27/0.67  % (31635)Time elapsed: 0.244 s
% 2.27/0.67  % (31635)Instructions burned: 13 (million)
% 2.27/0.67  % (31635)------------------------------
% 2.27/0.67  % (31635)------------------------------
% 2.27/0.67  % (31652)Instruction limit reached!
% 2.27/0.67  % (31652)------------------------------
% 2.27/0.67  % (31652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.67  % (31652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67  % (31652)Termination reason: Unknown
% 2.27/0.67  % (31652)Termination phase: Saturation
% 2.27/0.67  
% 2.27/0.67  % (31652)Memory used [KB]: 6652
% 2.27/0.67  % (31652)Time elapsed: 0.241 s
% 2.27/0.67  % (31652)Instructions burned: 25 (million)
% 2.27/0.67  % (31652)------------------------------
% 2.27/0.67  % (31652)------------------------------
% 2.27/0.68  % (31645)Instruction limit reached!
% 2.27/0.68  % (31645)------------------------------
% 2.27/0.68  % (31645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.68  % (31645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.68  % (31645)Termination reason: Unknown
% 2.27/0.68  % (31645)Termination phase: Saturation
% 2.27/0.68  
% 2.27/0.68  % (31645)Memory used [KB]: 6396
% 2.27/0.68  % (31645)Time elapsed: 0.244 s
% 2.27/0.68  % (31645)Instructions burned: 30 (million)
% 2.27/0.68  % (31645)------------------------------
% 2.27/0.68  % (31645)------------------------------
% 2.53/0.70  % (31628)Refutation not found, incomplete strategy% (31628)------------------------------
% 2.53/0.70  % (31628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.70  % (31628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.70  % (31628)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.70  
% 2.53/0.70  % (31628)Memory used [KB]: 6652
% 2.53/0.70  % (31628)Time elapsed: 0.279 s
% 2.53/0.70  % (31628)Instructions burned: 38 (million)
% 2.53/0.70  % (31628)------------------------------
% 2.53/0.70  % (31628)------------------------------
% 2.53/0.71  % (31634)Instruction limit reached!
% 2.53/0.71  % (31634)------------------------------
% 2.53/0.71  % (31634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.71  % (31634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.71  % (31634)Termination reason: Unknown
% 2.53/0.71  % (31634)Termination phase: Saturation
% 2.53/0.71  
% 2.53/0.71  % (31634)Memory used [KB]: 7036
% 2.53/0.71  % (31634)Time elapsed: 0.270 s
% 2.53/0.71  % (31634)Instructions burned: 34 (million)
% 2.53/0.71  % (31634)------------------------------
% 2.53/0.71  % (31634)------------------------------
% 2.53/0.71  % (31638)First to succeed.
% 2.53/0.72  % (31638)Refutation found. Thanks to Tanya!
% 2.53/0.72  % SZS status Theorem for theBenchmark
% 2.53/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.72  % (31638)------------------------------
% 2.53/0.72  % (31638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.72  % (31638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.72  % (31638)Termination reason: Refutation
% 2.53/0.72  
% 2.53/0.72  % (31638)Memory used [KB]: 6652
% 2.53/0.72  % (31638)Time elapsed: 0.296 s
% 2.53/0.72  % (31638)Instructions burned: 34 (million)
% 2.53/0.72  % (31638)------------------------------
% 2.53/0.72  % (31638)------------------------------
% 2.53/0.72  % (31624)Success in time 0.353 s
%------------------------------------------------------------------------------