TSTP Solution File: SYN143-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN143-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 : Sun May  5 11:56:12 EDT 2024

% Result   : Unsatisfiable 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  136 (  21 unt;   0 def)
%            Number of atoms       :  314 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  365 ( 187   ~; 158   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   42 (  41 usr;  21 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   91 (  91   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1059,plain,
    $false,
    inference(avatar_sat_refutation,[],[f394,f413,f452,f463,f514,f531,f592,f654,f661,f706,f770,f856,f857,f868,f882,f883,f971,f1027,f1028,f1040,f1058]) ).

fof(f1058,plain,
    ~ spl0_66,
    inference(avatar_contradiction_clause,[],[f1055]) ).

fof(f1055,plain,
    ( $false
    | ~ spl0_66 ),
    inference(resolution,[],[f1047,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_3) ).

fof(f1047,plain,
    ( ! [X0] : ~ n0(X0,e)
    | ~ spl0_66 ),
    inference(resolution,[],[f1045,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_002) ).

fof(f1045,plain,
    ( ~ l1(e,e)
    | ~ spl0_66 ),
    inference(resolution,[],[f804,f168]) ).

fof(f168,axiom,
    ( k2(e,e)
    | ~ l1(e,e) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_130) ).

fof(f804,plain,
    ( ! [X2] : ~ k2(X2,X2)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f803,plain,
    ( spl0_66
  <=> ! [X2] : ~ k2(X2,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1040,plain,
    ( ~ spl0_17
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1039,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(resolution,[],[f1038,f31]) ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_31) ).

fof(f1038,plain,
    ( ! [X0] : ~ m0(X0,b,e)
    | ~ spl0_17
    | ~ spl0_64 ),
    inference(resolution,[],[f780,f446]) ).

fof(f446,plain,
    ( s1(b)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_17
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f780,plain,
    ( ! [X2,X0] :
        ( ~ s1(X0)
        | ~ m0(X2,X0,e) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl0_64
  <=> ! [X2,X0] :
        ( ~ s1(X0)
        | ~ m0(X2,X0,e) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1028,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_4 ),
    inference(avatar_split_clause,[],[f949,f387,f431,f427]) ).

fof(f427,plain,
    ( spl0_13
  <=> s3(a,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f431,plain,
    ( spl0_14
  <=> ! [X0] : ~ l2(X0,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f387,plain,
    ( spl0_4
  <=> m4(e,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f949,plain,
    ( ! [X0] :
        ( ~ l2(X0,e)
        | ~ s3(a,e) )
    | spl0_4 ),
    inference(resolution,[],[f389,f317]) ).

fof(f317,axiom,
    ! [X8,X9,X4] :
      ( m4(X8,X9)
      | ~ l2(X4,X9)
      | ~ s3(a,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_279) ).

fof(f389,plain,
    ( ~ m4(e,e)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f1027,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1026,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f1021,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_37) ).

fof(f1021,plain,
    ( ! [X0] : ~ n0(X0,a)
    | ~ spl0_7 ),
    inference(resolution,[],[f1018,f40]) ).

fof(f1018,plain,
    ( ~ l1(a,a)
    | ~ spl0_7 ),
    inference(resolution,[],[f405,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_20) ).

fof(f405,plain,
    ( ! [X2] :
        ( ~ l0(X2)
        | ~ l1(X2,X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_7
  <=> ! [X2] :
        ( ~ l0(X2)
        | ~ l1(X2,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f971,plain,
    ( spl0_66
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f970,f407,f803]) ).

fof(f407,plain,
    ( spl0_8
  <=> ! [X0,X1] : ~ p3(X0,d,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f970,plain,
    ( ! [X1] : ~ k2(X1,X1)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f968,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_17) ).

fof(f968,plain,
    ( ! [X0,X1] :
        ( ~ q0(X0,d)
        | ~ k2(X1,X1) )
    | ~ spl0_8 ),
    inference(resolution,[],[f408,f290]) ).

fof(f290,axiom,
    ! [X2,X3,X5] :
      ( p3(X5,X5,X5)
      | ~ q0(X2,X5)
      | ~ k2(X3,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_252) ).

fof(f408,plain,
    ( ! [X0,X1] : ~ p3(X0,d,X1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f883,plain,
    ( spl0_63
    | spl0_64
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f880,f431,f779,f776]) ).

fof(f776,plain,
    ( spl0_63
  <=> ! [X1] : ~ p0(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f880,plain,
    ( ! [X2,X0,X1] :
        ( ~ s1(X0)
        | ~ p0(X1,X1)
        | ~ m0(X2,X0,e) )
    | ~ spl0_14 ),
    inference(resolution,[],[f432,f171]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( l2(X3,X3)
      | ~ s1(X11)
      | ~ p0(X10,X10)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_133) ).

fof(f432,plain,
    ( ! [X0] : ~ l2(X0,e)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f882,plain,
    ~ spl0_63,
    inference(avatar_contradiction_clause,[],[f881]) ).

fof(f881,plain,
    ( $false
    | ~ spl0_63 ),
    inference(resolution,[],[f777,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_14) ).

fof(f777,plain,
    ( ! [X1] : ~ p0(X1,X1)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f868,plain,
    ( spl0_7
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f867,f652,f497,f404]) ).

fof(f497,plain,
    ( spl0_26
  <=> k1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f652,plain,
    ( spl0_51
  <=> ! [X0] :
        ( ~ l1(X0,a)
        | ~ l0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ l0(X0)
        | ~ l1(X0,X0) )
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f864,f498]) ).

fof(f498,plain,
    ( k1(a)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f864,plain,
    ( ! [X0] :
        ( ~ l0(X0)
        | ~ k1(a)
        | ~ l1(X0,X0) )
    | ~ spl0_51 ),
    inference(resolution,[],[f862,f42]) ).

fof(f42,axiom,
    ! [X10,X11] :
      ( l1(X10,X10)
      | ~ l0(X11)
      | ~ k1(X10)
      | ~ l1(X11,X11) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_004) ).

fof(f862,plain,
    ( ~ l1(a,a)
    | ~ spl0_51 ),
    inference(resolution,[],[f653,f20]) ).

fof(f653,plain,
    ( ! [X0] :
        ( ~ l0(X0)
        | ~ l1(X0,a) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f857,plain,
    ( spl0_15
    | ~ spl0_16
    | spl0_13 ),
    inference(avatar_split_clause,[],[f783,f427,f439,f436]) ).

fof(f436,plain,
    ( spl0_15
  <=> ! [X0,X1] :
        ( ~ q2(X0,a,X0)
        | ~ m0(X0,X1,e) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f439,plain,
    ( spl0_16
  <=> s2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f783,plain,
    ( ! [X0,X1] :
        ( ~ s2(a)
        | ~ q2(X0,a,X0)
        | ~ m0(X0,X1,e) )
    | spl0_13 ),
    inference(resolution,[],[f429,f311]) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( s3(X2,X3)
      | ~ s2(X2)
      | ~ q2(X10,X2,X10)
      | ~ m0(X10,X11,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_273) ).

fof(f429,plain,
    ( ~ s3(a,e)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f856,plain,
    ( ~ spl0_15
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f855]) ).

fof(f855,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f845,f521]) ).

fof(f521,plain,
    ( p1(a,a,a)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f520,plain,
    ( spl0_28
  <=> p1(a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f845,plain,
    ( ~ p1(a,a,a)
    | ~ spl0_15 ),
    inference(resolution,[],[f836,f219]) ).

fof(f219,axiom,
    ! [X2] :
      ( q2(X2,X2,X2)
      | ~ p1(X2,X2,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_181) ).

fof(f836,plain,
    ( ! [X0] : ~ q2(X0,a,X0)
    | ~ spl0_15 ),
    inference(resolution,[],[f437,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_19) ).

fof(f437,plain,
    ( ! [X0,X1] :
        ( ~ m0(X0,X1,e)
        | ~ q2(X0,a,X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f770,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | ~ spl0_9 ),
    inference(resolution,[],[f412,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_34) ).

fof(f412,plain,
    ( ! [X2] : ~ n0(X2,d)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_9
  <=> ! [X2] : ~ n0(X2,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f706,plain,
    spl0_30,
    inference(avatar_contradiction_clause,[],[f705]) ).

fof(f705,plain,
    ( $false
    | spl0_30 ),
    inference(subsumption_resolution,[],[f680,f32]) ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_32) ).

fof(f680,plain,
    ( ~ k0(b)
    | spl0_30 ),
    inference(resolution,[],[f530,f106]) ).

fof(f106,axiom,
    ! [X7] :
      ( p1(X7,X7,X7)
      | ~ k0(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_068) ).

fof(f530,plain,
    ( ~ p1(b,b,b)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f528,plain,
    ( spl0_30
  <=> p1(b,b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f661,plain,
    spl0_32,
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | spl0_32 ),
    inference(subsumption_resolution,[],[f659,f14]) ).

fof(f659,plain,
    ( ~ p0(b,b)
    | spl0_32 ),
    inference(subsumption_resolution,[],[f658,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',axiom_5) ).

fof(f658,plain,
    ( ~ s0(b)
    | ~ p0(b,b)
    | spl0_32 ),
    inference(subsumption_resolution,[],[f655,f20]) ).

fof(f655,plain,
    ( ~ l0(a)
    | ~ s0(b)
    | ~ p0(b,b)
    | spl0_32 ),
    inference(resolution,[],[f539,f88]) ).

fof(f88,axiom,
    ! [X8,X7] :
      ( n1(X7,X8,X7)
      | ~ l0(X7)
      | ~ s0(b)
      | ~ p0(b,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_050) ).

fof(f539,plain,
    ( ~ n1(a,b,a)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl0_32
  <=> n1(a,b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f654,plain,
    ( ~ spl0_32
    | spl0_51
    | spl0_29 ),
    inference(avatar_split_clause,[],[f650,f524,f652,f537]) ).

fof(f524,plain,
    ( spl0_29
  <=> n1(a,b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f650,plain,
    ( ! [X0] :
        ( ~ l1(X0,a)
        | ~ l0(X0)
        | ~ n1(a,b,a) )
    | spl0_29 ),
    inference(resolution,[],[f526,f92]) ).

fof(f92,axiom,
    ! [X8,X9,X4] :
      ( n1(X8,X9,X9)
      | ~ l1(X4,X8)
      | ~ l0(X4)
      | ~ n1(X8,X9,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_054) ).

fof(f526,plain,
    ( ~ n1(a,b,b)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f592,plain,
    spl0_28,
    inference(avatar_contradiction_clause,[],[f591]) ).

fof(f591,plain,
    ( $false
    | spl0_28 ),
    inference(subsumption_resolution,[],[f569,f14]) ).

fof(f569,plain,
    ( ~ p0(b,a)
    | spl0_28 ),
    inference(resolution,[],[f522,f113]) ).

fof(f113,axiom,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_075) ).

fof(f522,plain,
    ( ~ p1(a,a,a)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f531,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | ~ spl0_30
    | spl0_18 ),
    inference(avatar_split_clause,[],[f518,f449,f528,f524,f520]) ).

fof(f449,plain,
    ( spl0_18
  <=> q2(b,a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f518,plain,
    ( ~ p1(b,b,b)
    | ~ n1(a,b,b)
    | ~ p1(a,a,a)
    | spl0_18 ),
    inference(subsumption_resolution,[],[f515,f32]) ).

fof(f515,plain,
    ( ~ p1(b,b,b)
    | ~ n1(a,b,b)
    | ~ k0(b)
    | ~ p1(a,a,a)
    | spl0_18 ),
    inference(resolution,[],[f465,f215]) ).

fof(f215,axiom,
    ! [X8,X9] :
      ( q2(X8,X9,X9)
      | ~ k0(X9)
      | ~ p1(X8,X8,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_177) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ q2(a,X0,b)
        | ~ p1(b,b,X0)
        | ~ n1(a,b,X0) )
    | spl0_18 ),
    inference(resolution,[],[f451,f220]) ).

fof(f220,axiom,
    ! [X9,X4,X5] :
      ( q2(X9,X4,X9)
      | ~ n1(X4,X9,X5)
      | ~ p1(X9,X9,X5)
      | ~ q2(X4,X5,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_182) ).

fof(f451,plain,
    ( ~ q2(b,a,b)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f514,plain,
    spl0_26,
    inference(avatar_contradiction_clause,[],[f513]) ).

fof(f513,plain,
    ( $false
    | spl0_26 ),
    inference(resolution,[],[f501,f37]) ).

fof(f501,plain,
    ( ! [X0] : ~ n0(X0,a)
    | spl0_26 ),
    inference(resolution,[],[f499,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_001) ).

fof(f499,plain,
    ( ~ k1(a)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f463,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | spl0_17 ),
    inference(subsumption_resolution,[],[f454,f14]) ).

fof(f454,plain,
    ( ~ p0(b,b)
    | spl0_17 ),
    inference(resolution,[],[f447,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_125) ).

fof(f447,plain,
    ( ~ s1(b)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f452,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | spl0_16 ),
    inference(avatar_split_clause,[],[f443,f439,f449,f445]) ).

fof(f443,plain,
    ( ~ q2(b,a,b)
    | ~ s1(b)
    | spl0_16 ),
    inference(resolution,[],[f441,f227]) ).

fof(f227,axiom,
    ! [X5] :
      ( s2(X5)
      | ~ q2(b,X5,b)
      | ~ s1(b) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_189) ).

fof(f441,plain,
    ( ~ s2(a)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f413,plain,
    ( spl0_9
    | spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f397,f391,f407,f411]) ).

fof(f391,plain,
    ( spl0_5
  <=> s4(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f397,plain,
    ( ! [X2,X0,X1] :
        ( ~ p3(X0,d,X1)
        | ~ n0(X2,d) )
    | spl0_5 ),
    inference(resolution,[],[f395,f40]) ).

fof(f395,plain,
    ( ! [X2,X0,X1] :
        ( ~ l1(d,X1)
        | ~ p3(X0,X1,X2) )
    | spl0_5 ),
    inference(resolution,[],[f393,f337]) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_299) ).

fof(f393,plain,
    ( ~ s4(d)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f372,f391,f387]) ).

fof(f372,plain,
    ( ~ s4(d)
    | ~ m4(e,e) ),
    inference(resolution,[],[f369,f343]) ).

fof(f343,axiom,
    ! [X11] :
      ( m5(X11,X11)
      | ~ s4(X11)
      | ~ m4(e,e) ),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',rule_305) ).

fof(f369,axiom,
    ~ m5(d,d),
    file('/export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN143-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n008.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 17:59:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.rSyUzZl2Ya/Vampire---4.8_23494
% 0.59/0.77  % (23755)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77  % (23757)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.77  % (23759)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77  % (23756)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.77  % (23758)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.77  % (23760)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.77  % (23761)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.77  % (23762)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.77  % (23755)Refutation not found, incomplete strategy% (23755)------------------------------
% 0.59/0.77  % (23755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (23755)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (23755)Memory used [KB]: 1278
% 0.59/0.77  % (23755)Time elapsed: 0.002 s
% 0.59/0.77  % (23755)Instructions burned: 3 (million)
% 0.59/0.77  % (23758)Refutation not found, incomplete strategy% (23758)------------------------------
% 0.59/0.77  % (23758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (23758)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  % (23755)------------------------------
% 0.59/0.77  % (23755)------------------------------
% 0.59/0.77  
% 0.59/0.77  % (23758)Memory used [KB]: 1272
% 0.59/0.77  % (23758)Time elapsed: 0.003 s
% 0.59/0.77  % (23758)Instructions burned: 3 (million)
% 0.59/0.77  % (23762)Refutation not found, incomplete strategy% (23762)------------------------------
% 0.59/0.77  % (23762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (23762)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  % (23758)------------------------------
% 0.59/0.77  % (23758)------------------------------
% 0.59/0.77  
% 0.59/0.77  % (23762)Memory used [KB]: 1275
% 0.59/0.77  % (23762)Time elapsed: 0.003 s
% 0.59/0.77  % (23762)Instructions burned: 3 (million)
% 0.59/0.77  % (23762)------------------------------
% 0.59/0.77  % (23762)------------------------------
% 0.59/0.77  % (23763)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.77  % (23760)Refutation not found, incomplete strategy% (23760)------------------------------
% 0.59/0.77  % (23760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (23760)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (23760)Memory used [KB]: 1394
% 0.59/0.77  % (23760)Time elapsed: 0.006 s
% 0.59/0.77  % (23760)Instructions burned: 8 (million)
% 0.59/0.77  % (23763)Refutation not found, incomplete strategy% (23763)------------------------------
% 0.59/0.77  % (23763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (23763)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (23763)Memory used [KB]: 1272
% 0.59/0.77  % (23763)Time elapsed: 0.001 s
% 0.59/0.77  % (23763)Instructions burned: 3 (million)
% 0.59/0.77  % (23760)------------------------------
% 0.59/0.77  % (23760)------------------------------
% 0.59/0.77  % (23763)------------------------------
% 0.59/0.77  % (23763)------------------------------
% 0.59/0.78  % (23759)Refutation not found, incomplete strategy% (23759)------------------------------
% 0.59/0.78  % (23759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (23759)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (23759)Memory used [KB]: 1424
% 0.59/0.78  % (23764)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78  % (23759)Time elapsed: 0.007 s
% 0.59/0.78  % (23759)Instructions burned: 10 (million)
% 0.59/0.78  % (23759)------------------------------
% 0.59/0.78  % (23759)------------------------------
% 0.59/0.78  % (23765)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.78  % (23765)Refutation not found, incomplete strategy% (23765)------------------------------
% 0.59/0.78  % (23765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (23765)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (23765)Memory used [KB]: 1273
% 0.59/0.78  % (23765)Time elapsed: 0.001 s
% 0.59/0.78  % (23765)Instructions burned: 3 (million)
% 0.59/0.78  % (23765)------------------------------
% 0.59/0.78  % (23765)------------------------------
% 0.59/0.78  % (23766)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.78  % (23767)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.78  % (23767)Refutation not found, incomplete strategy% (23767)------------------------------
% 0.59/0.78  % (23767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (23767)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (23767)Memory used [KB]: 1276
% 0.59/0.78  % (23767)Time elapsed: 0.003 s
% 0.59/0.78  % (23767)Instructions burned: 3 (million)
% 0.59/0.78  % (23767)------------------------------
% 0.59/0.78  % (23767)------------------------------
% 0.59/0.78  % (23768)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.78  % (23761)Refutation not found, incomplete strategy% (23761)------------------------------
% 0.59/0.78  % (23761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (23761)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (23761)Memory used [KB]: 1561
% 0.59/0.78  % (23761)Time elapsed: 0.012 s
% 0.59/0.78  % (23761)Instructions burned: 20 (million)
% 0.59/0.78  % (23761)------------------------------
% 0.59/0.78  % (23761)------------------------------
% 0.59/0.78  % (23769)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.78  % (23771)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.59/0.79  % (23770)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.59/0.79  % (23768)First to succeed.
% 0.59/0.79  % (23770)Refutation not found, incomplete strategy% (23770)------------------------------
% 0.59/0.79  % (23770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (23770)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (23770)Memory used [KB]: 1279
% 0.59/0.79  % (23770)Time elapsed: 0.003 s
% 0.59/0.79  % (23770)Instructions burned: 3 (million)
% 0.59/0.79  % (23770)------------------------------
% 0.59/0.79  % (23770)------------------------------
% 0.59/0.79  % (23768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23741"
% 0.59/0.79  % (23768)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (23768)------------------------------
% 0.59/0.79  % (23768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (23768)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (23768)Memory used [KB]: 1571
% 0.59/0.79  % (23768)Time elapsed: 0.009 s
% 0.59/0.79  % (23768)Instructions burned: 21 (million)
% 0.59/0.79  % (23741)Success in time 0.408 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------