TSTP Solution File: DAT047_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT047_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:04:44 EDT 2022

% Result   : Theorem 1.56s 0.57s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  105 (  33 unt;  10 typ;   0 def)
%            Number of atoms       :  190 (  91 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  161 (  66   ~;  60   |;  16   &)
%                                         (  17 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :  162 (   0 atm;  33 fun;  78 num;  51 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   16 (   8 usr;  10 con; 0-2 aty)
%            Number of variables   :   89 (  89   !;   0   ?;  89   :)

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

tff(func_def_0,type,
    empty: collection ).

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

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

tff(func_def_3,type,
    count: collection > $int ).

tff(func_def_11,type,
    sF0: collection ).

tff(func_def_12,type,
    sF1: collection ).

tff(func_def_13,type,
    sF2: collection ).

tff(func_def_14,type,
    sF3: $int ).

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

tff(f427,plain,
    $false,
    inference(avatar_sat_refutation,[],[f111,f335,f364,f393,f418]) ).

tff(f418,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f417]) ).

tff(f417,plain,
    ( $false
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f402,f75]) ).

tff(f75,plain,
    ! [X0: $int] : ~ in(X0,empty),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $int] : ~ in(X0,empty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f402,plain,
    ( in(5,empty)
    | ~ spl4_2 ),
    inference(backward_demodulation,[],[f95,f110]) ).

tff(f110,plain,
    ( ( empty = sF2 )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f108]) ).

tff(f108,plain,
    ( spl4_2
  <=> ( empty = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f95,plain,
    in(5,sF2),
    inference(superposition,[],[f78,f82]) ).

tff(f82,plain,
    sF2 = add(5,sF1),
    introduced(function_definition,[]) ).

tff(f78,plain,
    ! [X2: $int,X1: collection] : in(X2,add(X2,X1)),
    inference(equality_resolution,[],[f59]) ).

tff(f59,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( in(X2,add(X0,X1))
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( in(X2,X1)
        | ( X0 = X2 )
        | ~ in(X2,add(X0,X1)) )
      & ( in(X2,add(X0,X1))
        | ( ~ in(X2,X1)
          & ( X0 != X2 ) ) ) ),
    inference(flattening,[],[f45]) ).

tff(f45,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( in(X2,X1)
        | ( X0 = X2 )
        | ~ in(X2,add(X0,X1)) )
      & ( in(X2,add(X0,X1))
        | ( ~ in(X2,X1)
          & ( X0 != X2 ) ) ) ),
    inference(nnf_transformation,[],[f29]) ).

tff(f29,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( in(X2,X1)
        | ( X0 = X2 ) )
    <=> in(X2,add(X0,X1)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X7: $int,X6: collection,X5: $int] :
      ( in(X5,add(X7,X6))
    <=> ( in(X5,X6)
        | ( X5 = X7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f393,plain,
    ( spl4_1
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

tff(f392,plain,
    ( $false
    | spl4_1
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f391,f106]) ).

tff(f106,plain,
    ( ( 0 != sF3 )
    | spl4_1 ),
    inference(avatar_component_clause,[],[f104]) ).

tff(f104,plain,
    ( spl4_1
  <=> ( 0 = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f391,plain,
    ( ( 0 = sF3 )
    | ~ spl4_4 ),
    inference(backward_demodulation,[],[f83,f390]) ).

tff(f390,plain,
    ( ( 0 = count(sF2) )
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f389,f375]) ).

tff(f375,plain,
    0 = count(sF1),
    inference(evaluation,[],[f374]) ).

tff(f374,plain,
    count(sF1) = $sum(-1,1),
    inference(forward_demodulation,[],[f330,f357]) ).

tff(f357,plain,
    1 = count(sF0),
    inference(superposition,[],[f318,f80]) ).

tff(f80,plain,
    add(3,empty) = sF0,
    introduced(function_definition,[]) ).

tff(f318,plain,
    ! [X4: $int] : ( 1 = count(add(X4,empty)) ),
    inference(evaluation,[],[f317]) ).

tff(f317,plain,
    ! [X4: $int] : ( count(add(X4,empty)) = $sum(1,0) ),
    inference(forward_demodulation,[],[f309,f77]) ).

tff(f77,plain,
    0 = count(empty),
    inference(equality_resolution,[],[f55]) ).

tff(f55,plain,
    ! [X0: collection] :
      ( ( 0 = count(X0) )
      | ( empty != X0 ) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: collection] :
      ( ( ( empty = X0 )
        | ( 0 != count(X0) ) )
      & ( ( 0 = count(X0) )
        | ( empty != X0 ) ) ),
    inference(nnf_transformation,[],[f38]) ).

tff(f38,plain,
    ! [X0: collection] :
      ( ( empty = X0 )
    <=> ( 0 = count(X0) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X12: collection] :
      ( ( 0 = count(X12) )
    <=> ( empty = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f309,plain,
    ! [X4: $int] : ( count(add(X4,empty)) = $sum(1,count(empty)) ),
    inference(resolution,[],[f88,f75]) ).

tff(f88,plain,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
      | ( $sum(1,count(X1)) = count(add(X0,X1)) ) ),
    inference(backward_demodulation,[],[f68,f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f68,plain,
    ! [X0: $int,X1: collection] :
      ( ( $sum(count(X1),1) = count(add(X0,X1)) )
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

tff(f52,plain,
    ! [X0: $int,X1: collection] :
      ( ( ~ in(X0,X1)
        | ( $sum(count(X1),1) != count(add(X0,X1)) ) )
      & ( ( $sum(count(X1),1) = count(add(X0,X1)) )
        | in(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

tff(f35,plain,
    ! [X0: $int,X1: collection] :
      ( ~ in(X0,X1)
    <=> ( $sum(count(X1),1) = count(add(X0,X1)) ) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X13: $int,X14: collection] :
      ( ( count(add(X13,X14)) = $sum(count(X14),1) )
    <=> ~ in(X13,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

tff(f330,plain,
    count(sF1) = $sum(-1,count(sF0)),
    inference(forward_demodulation,[],[f327,f81]) ).

tff(f81,plain,
    remove(3,sF0) = sF1,
    introduced(function_definition,[]) ).

tff(f327,plain,
    count(remove(3,sF0)) = $sum(-1,count(sF0)),
    inference(resolution,[],[f89,f93]) ).

tff(f93,plain,
    in(3,sF0),
    inference(superposition,[],[f78,f80]) ).

tff(f89,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( count(remove(X1,X0)) = $sum(-1,count(X0)) ) ),
    inference(forward_demodulation,[],[f86,f17]) ).

tff(f86,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( count(remove(X1,X0)) = $sum(count(X0),-1) ) ),
    inference(evaluation,[],[f71]) ).

tff(f71,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,plain,
    ! [X0: collection,X1: $int] :
      ( ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ( count(remove(X1,X0)) != $sum(count(X0),$uminus(1)) ) ) ),
    inference(nnf_transformation,[],[f37]) ).

tff(f37,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
    <=> in(X1,X0) ),
    inference(rectify,[],[f15]) ).

tff(f15,plain,
    ! [X18: collection,X17: $int] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    ! [X18: collection,X17: $int] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f389,plain,
    ( ( count(sF2) = count(sF1) )
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f387,f82]) ).

tff(f387,plain,
    ( ( count(sF1) = count(add(5,sF1)) )
    | ~ spl4_4 ),
    inference(resolution,[],[f245,f72]) ).

tff(f72,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( count(X0) = count(add(X1,X0)) ) ),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,plain,
    ! [X0: collection,X1: $int] :
      ( ( in(X1,X0)
        | ( count(X0) != count(add(X1,X0)) ) )
      & ( ( count(X0) = count(add(X1,X0)) )
        | ~ in(X1,X0) ) ),
    inference(nnf_transformation,[],[f34]) ).

tff(f34,plain,
    ! [X0: collection,X1: $int] :
      ( in(X1,X0)
    <=> ( count(X0) = count(add(X1,X0)) ) ),
    inference(rectify,[],[f9]) ).

tff(f9,axiom,
    ! [X16: collection,X15: $int] :
      ( ( count(add(X15,X16)) = count(X16) )
    <=> in(X15,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f245,plain,
    ( in(5,sF1)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f243]) ).

tff(f243,plain,
    ( spl4_4
  <=> in(5,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f83,plain,
    count(sF2) = sF3,
    introduced(function_definition,[]) ).

tff(f364,plain,
    ~ spl4_5,
    inference(avatar_contradiction_clause,[],[f363]) ).

tff(f363,plain,
    ( $false
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f362,f84]) ).

tff(f84,plain,
    1 != sF3,
    inference(definition_folding,[],[f76,f83,f82,f81,f80]) ).

tff(f76,plain,
    1 != count(add(5,remove(3,add(3,empty)))),
    inference(cnf_transformation,[],[f33]) ).

tff(f33,plain,
    1 != count(add(5,remove(3,add(3,empty)))),
    inference(flattening,[],[f14]) ).

tff(f14,negated_conjecture,
    ( ( ~ 1 )
    = count(add(5,remove(3,add(3,empty)))) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    1 = count(add(5,remove(3,add(3,empty)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f362,plain,
    ( ( 1 = sF3 )
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f336,f357]) ).

tff(f336,plain,
    ( ( count(sF0) = sF3 )
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f319,f304]) ).

tff(f304,plain,
    ( ( $sum(1,count(sF1)) = sF3 )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f303]) ).

tff(f303,plain,
    ( spl4_5
  <=> ( $sum(1,count(sF1)) = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f319,plain,
    $sum(1,count(sF1)) = count(sF0),
    inference(forward_demodulation,[],[f316,f211]) ).

tff(f211,plain,
    add(3,sF1) = sF0,
    inference(forward_demodulation,[],[f209,f81]) ).

tff(f209,plain,
    add(3,remove(3,sF0)) = sF0,
    inference(resolution,[],[f62,f93]) ).

tff(f62,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( add(X1,remove(X1,X0)) = X0 ) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f41,plain,
    ! [X0: collection,X1: $int] :
      ( ( add(X1,remove(X1,X0)) = X0 )
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X0: collection,X1: $int] :
      ( in(X1,X0)
     => ( add(X1,remove(X1,X0)) = X0 ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X22: collection,X21: $int] :
      ( in(X21,X22)
     => ( add(X21,remove(X21,X22)) = X22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

tff(f316,plain,
    $sum(1,count(sF1)) = count(add(3,sF1)),
    inference(resolution,[],[f88,f94]) ).

tff(f94,plain,
    ~ in(3,sF1),
    inference(superposition,[],[f79,f81]) ).

tff(f79,plain,
    ! [X2: $int,X1: collection] : ~ in(X2,remove(X2,X1)),
    inference(equality_resolution,[],[f66]) ).

tff(f66,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ( X0 != X2 )
      | ~ in(X0,remove(X2,X1)) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f51,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( in(X0,X1)
          & ( X0 != X2 ) )
        | ~ in(X0,remove(X2,X1)) )
      & ( in(X0,remove(X2,X1))
        | ~ in(X0,X1)
        | ( X0 = X2 ) ) ),
    inference(rectify,[],[f50]) ).

tff(f50,plain,
    ! [X1: $int,X0: collection,X2: $int] :
      ( ( ( in(X1,X0)
          & ( X1 != X2 ) )
        | ~ in(X1,remove(X2,X0)) )
      & ( in(X1,remove(X2,X0))
        | ~ in(X1,X0)
        | ( X1 = X2 ) ) ),
    inference(flattening,[],[f49]) ).

tff(f49,plain,
    ! [X1: $int,X0: collection,X2: $int] :
      ( ( ( in(X1,X0)
          & ( X1 != X2 ) )
        | ~ in(X1,remove(X2,X0)) )
      & ( in(X1,remove(X2,X0))
        | ~ in(X1,X0)
        | ( X1 = X2 ) ) ),
    inference(nnf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X1: $int,X0: collection,X2: $int] :
      ( ( in(X1,X0)
        & ( X1 != X2 ) )
    <=> in(X1,remove(X2,X0)) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X9: collection,X8: $int,X10: $int] :
      ( ( in(X8,X9)
        & ( X8 != X10 ) )
    <=> in(X8,remove(X10,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f335,plain,
    ( spl4_5
    | spl4_4 ),
    inference(avatar_split_clause,[],[f334,f243,f303]) ).

tff(f334,plain,
    ( ( $sum(1,count(sF1)) = sF3 )
    | spl4_4 ),
    inference(forward_demodulation,[],[f333,f83]) ).

tff(f333,plain,
    ( ( $sum(1,count(sF1)) = count(sF2) )
    | spl4_4 ),
    inference(forward_demodulation,[],[f331,f82]) ).

tff(f331,plain,
    ( ( $sum(1,count(sF1)) = count(add(5,sF1)) )
    | spl4_4 ),
    inference(resolution,[],[f244,f88]) ).

tff(f244,plain,
    ( ~ in(5,sF1)
    | spl4_4 ),
    inference(avatar_component_clause,[],[f243]) ).

tff(f111,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f102,f108,f104]) ).

tff(f102,plain,
    ( ( empty = sF2 )
    | ( 0 != sF3 ) ),
    inference(superposition,[],[f56,f83]) ).

tff(f56,plain,
    ! [X0: collection] :
      ( ( 0 != count(X0) )
      | ( empty = X0 ) ),
    inference(cnf_transformation,[],[f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : DAT047=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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 Aug 29 20:14:17 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (21615)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (21614)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (21623)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (21627)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (21617)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (21625)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (21638)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53  % (21616)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (21618)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (21630)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (21631)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (21624)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (21628)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54  % (21626)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (21622)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (21619)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (21620)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (21621)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (21613)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.55  % (21613)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.55  % (21613)Terminated due to inappropriate strategy.
% 0.19/0.55  % (21613)------------------------------
% 0.19/0.55  % (21613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21644)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55  % (21613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21613)Termination reason: Inappropriate
% 0.19/0.55  
% 0.19/0.55  % (21613)Memory used [KB]: 895
% 0.19/0.55  % (21613)Time elapsed: 0.002 s
% 0.19/0.55  % (21613)Instructions burned: 2 (million)
% 0.19/0.55  % (21613)------------------------------
% 0.19/0.55  % (21613)------------------------------
% 0.19/0.55  % (21642)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55  % (21620)Instruction limit reached!
% 0.19/0.55  % (21620)------------------------------
% 0.19/0.55  % (21620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21640)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (21619)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.55  % (21619)Terminated due to inappropriate strategy.
% 0.19/0.55  % (21619)------------------------------
% 0.19/0.55  % (21619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21619)Termination reason: Inappropriate
% 0.19/0.55  
% 0.19/0.55  % (21619)Memory used [KB]: 895
% 0.19/0.55  % (21619)Time elapsed: 0.003 s
% 0.19/0.55  % (21619)Instructions burned: 2 (million)
% 0.19/0.55  % (21619)------------------------------
% 0.19/0.55  % (21619)------------------------------
% 0.19/0.55  % (21621)Instruction limit reached!
% 0.19/0.55  % (21621)------------------------------
% 0.19/0.55  % (21621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21641)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (21635)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55  % (21621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21621)Termination reason: Unknown
% 0.19/0.55  % (21621)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (21621)Memory used [KB]: 895
% 0.19/0.55  % (21621)Time elapsed: 0.003 s
% 0.19/0.55  % (21621)Instructions burned: 2 (million)
% 0.19/0.55  % (21621)------------------------------
% 0.19/0.55  % (21621)------------------------------
% 0.19/0.55  % (21634)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.55  % (21639)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.55  % (21643)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.56/0.56  % (21629)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.56  % (21630)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.56/0.56  % (21630)Terminated due to inappropriate strategy.
% 1.56/0.56  % (21630)------------------------------
% 1.56/0.56  % (21630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (21630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (21630)Termination reason: Inappropriate
% 1.56/0.56  
% 1.56/0.56  % (21630)Memory used [KB]: 895
% 1.56/0.56  % (21630)Time elapsed: 0.003 s
% 1.56/0.56  % (21630)Instructions burned: 2 (million)
% 1.56/0.56  % (21630)------------------------------
% 1.56/0.56  % (21630)------------------------------
% 1.56/0.56  % (21636)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.56/0.56  % (21632)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.56  % (21615)Instruction limit reached!
% 1.56/0.56  % (21615)------------------------------
% 1.56/0.56  % (21615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (21620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (21620)Termination reason: Unknown
% 1.56/0.57  % (21620)Termination phase: Saturation
% 1.56/0.57  
% 1.56/0.57  % (21620)Memory used [KB]: 5500
% 1.56/0.57  % (21620)Time elapsed: 0.103 s
% 1.56/0.57  % (21620)Instructions burned: 7 (million)
% 1.56/0.57  % (21620)------------------------------
% 1.56/0.57  % (21620)------------------------------
% 1.56/0.57  % (21631)First to succeed.
% 1.56/0.57  % (21631)Refutation found. Thanks to Tanya!
% 1.56/0.57  % SZS status Theorem for theBenchmark
% 1.56/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57  % (21631)------------------------------
% 1.56/0.57  % (21631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (21631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (21631)Termination reason: Refutation
% 1.56/0.57  
% 1.56/0.57  % (21631)Memory used [KB]: 5756
% 1.56/0.57  % (21631)Time elapsed: 0.164 s
% 1.56/0.57  % (21631)Instructions burned: 20 (million)
% 1.56/0.57  % (21631)------------------------------
% 1.56/0.57  % (21631)------------------------------
% 1.56/0.57  % (21610)Success in time 0.219 s
%------------------------------------------------------------------------------