TSTP Solution File: SYN269-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN269-1 : TPTP v8.1.0. Released v1.1.0.
% 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 19:37:20 EDT 2022

% Result   : Unsatisfiable 2.39s 0.68s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  128 (  31 unt;   0 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  310 ( 154   ~; 138   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   43 (  42 usr;  19 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  106 ( 106   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3421,plain,
    $false,
    inference(avatar_sat_refutation,[],[f749,f921,f1020,f1090,f1224,f1271,f1372,f1440,f1477,f1511,f1623,f1632,f1707,f1716,f2190,f2265,f2892,f3410,f3420]) ).

fof(f3420,plain,
    ( ~ spl0_176
    | ~ spl0_333 ),
    inference(avatar_contradiction_clause,[],[f3419]) ).

fof(f3419,plain,
    ( $false
    | ~ spl0_176
    | ~ spl0_333 ),
    inference(subsumption_resolution,[],[f3414,f1797]) ).

fof(f1797,plain,
    ( s2(b)
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f1795,f1657]) ).

fof(f1657,plain,
    l1(b,b),
    inference(resolution,[],[f40,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f1795,plain,
    ( ~ l1(b,b)
    | s2(b)
    | ~ spl0_176 ),
    inference(resolution,[],[f224,f1089]) ).

fof(f1089,plain,
    ( ! [X5] :
        ( ~ q2(b,X5,b)
        | s2(X5) )
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1088,plain,
    ( spl0_176
  <=> ! [X5] :
        ( ~ q2(b,X5,b)
        | s2(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).

fof(f3414,plain,
    ( ~ s2(b)
    | ~ spl0_333 ),
    inference(resolution,[],[f2891,f302]) ).

fof(f302,axiom,
    ! [X5] :
      ( r3(X5,X5,X5)
      | ~ s2(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_264) ).

fof(f2891,plain,
    ( ! [X0] : ~ r3(b,X0,X0)
    | ~ spl0_333 ),
    inference(avatar_component_clause,[],[f2890]) ).

fof(f2890,plain,
    ( spl0_333
  <=> ! [X0] : ~ r3(b,X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f3410,plain,
    ( ~ spl0_30
    | ~ spl0_55
    | ~ spl0_58
    | ~ spl0_89
    | ~ spl0_259
    | ~ spl0_332 ),
    inference(avatar_contradiction_clause,[],[f3409]) ).

fof(f3409,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_55
    | ~ spl0_58
    | ~ spl0_89
    | ~ spl0_259
    | ~ spl0_332 ),
    inference(subsumption_resolution,[],[f3408,f1942]) ).

fof(f1942,plain,
    ( m1(b,a,b)
    | ~ spl0_30
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(resolution,[],[f1939,f736]) ).

fof(f736,plain,
    ( q0(b,b)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_89
  <=> q0(b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1939,plain,
    ( ! [X0] :
        ( ~ q0(X0,b)
        | m1(X0,a,b) )
    | ~ spl0_30
    | ~ spl0_58 ),
    inference(resolution,[],[f1930,f1288]) ).

fof(f1288,plain,
    ! [X9,X4] :
      ( ~ m1(X4,c,X4)
      | m1(X9,a,X4)
      | ~ q0(X9,X4) ),
    inference(subsumption_resolution,[],[f62,f12]) ).

fof(f12,axiom,
    ! [X0] : m0(a,X0,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f62,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | ~ m0(a,X5,a)
      | ~ m1(X4,c,X4)
      | m1(X9,a,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_024) ).

fof(f1930,plain,
    ( m1(b,c,b)
    | ~ spl0_30
    | ~ spl0_58 ),
    inference(resolution,[],[f1859,f489]) ).

fof(f489,plain,
    ( r0(b)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl0_30
  <=> r0(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1859,plain,
    ( ! [X0] :
        ( ~ r0(X0)
        | m1(X0,c,X0) )
    | ~ spl0_58 ),
    inference(resolution,[],[f73,f601]) ).

fof(f601,plain,
    ( l0(c)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl0_58
  <=> l0(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f73,axiom,
    ! [X2,X3] :
      ( ~ l0(X3)
      | ~ r0(X2)
      | m1(X2,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_035) ).

fof(f3408,plain,
    ( ~ m1(b,a,b)
    | ~ spl0_55
    | ~ spl0_259
    | ~ spl0_332 ),
    inference(resolution,[],[f3407,f2931]) ).

fof(f2931,plain,
    ! [X12,X13] :
      ( p2(X12,X13,X13)
      | ~ m1(X13,X12,X13) ),
    inference(resolution,[],[f2921,f214]) ).

fof(f214,axiom,
    ! [X8,X7] :
      ( p2(X7,X8,X7)
      | ~ m1(X8,X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).

fof(f2921,plain,
    ! [X8,X7] :
      ( ~ p2(X7,X8,X7)
      | p2(X7,X8,X8) ),
    inference(subsumption_resolution,[],[f2918,f2698]) ).

fof(f2698,plain,
    ! [X0,X1] : p1(X0,X1,a),
    inference(resolution,[],[f2693,f2645]) ).

fof(f2645,plain,
    ! [X6,X7] :
      ( ~ p1(a,X6,a)
      | p1(X6,X7,a) ),
    inference(resolution,[],[f120,f12]) ).

fof(f120,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ m0(X3,X5,X10)
      | ~ p1(X3,X5,X10)
      | p1(X5,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).

fof(f2693,plain,
    ! [X3] : p1(a,X3,a),
    inference(resolution,[],[f2645,f1765]) ).

fof(f1765,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).

fof(f2918,plain,
    ! [X8,X7] :
      ( p2(X7,X8,X8)
      | ~ p1(X7,a,a)
      | ~ p2(X7,X8,X7) ),
    inference(resolution,[],[f184,f1658]) ).

fof(f1658,plain,
    l1(a,a),
    inference(resolution,[],[f40,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f184,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ l1(X8,X9)
      | p2(X6,X7,X7)
      | ~ p1(X6,X8,X9)
      | ~ p2(X6,X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_146) ).

fof(f3407,plain,
    ( ~ p2(a,b,b)
    | ~ spl0_55
    | ~ spl0_259
    | ~ spl0_332 ),
    inference(resolution,[],[f3405,f244]) ).

fof(f244,axiom,
    ! [X6,X7] :
      ( k3(X6,X7,X6)
      | ~ p2(X7,X6,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_206) ).

fof(f3405,plain,
    ( ~ k3(b,a,b)
    | ~ spl0_55
    | ~ spl0_259
    | ~ spl0_332 ),
    inference(resolution,[],[f3392,f2393]) ).

fof(f2393,plain,
    ( ! [X1] :
        ( m3(X1,X1,a)
        | ~ k3(X1,a,X1) )
    | ~ spl0_55 ),
    inference(resolution,[],[f273,f587]) ).

fof(f587,plain,
    ( r2(a)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl0_55
  <=> r2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f273,axiom,
    ! [X11,X6] :
      ( ~ r2(X6)
      | ~ k3(X11,X6,X11)
      | m3(X11,X11,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_235) ).

fof(f3392,plain,
    ( ! [X0] : ~ m3(X0,b,a)
    | ~ spl0_259
    | ~ spl0_332 ),
    inference(resolution,[],[f2888,f1993]) ).

fof(f1993,plain,
    ( ~ r3(a,a,b)
    | ~ spl0_259 ),
    inference(resolution,[],[f1439,f369]) ).

fof(f369,axiom,
    ~ p4(b,a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1439,plain,
    ( ! [X2,X5] :
        ( p4(X5,X2,X2)
        | ~ r3(X2,X2,X5) )
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1438,plain,
    ( spl0_259
  <=> ! [X2,X5] :
        ( p4(X5,X2,X2)
        | ~ r3(X2,X2,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f2888,plain,
    ( ! [X2,X1] :
        ( r3(X1,X1,b)
        | ~ m3(X2,b,X1) )
    | ~ spl0_332 ),
    inference(avatar_component_clause,[],[f2887]) ).

fof(f2887,plain,
    ( spl0_332
  <=> ! [X2,X1] :
        ( ~ m3(X2,b,X1)
        | r3(X1,X1,b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f2892,plain,
    ( spl0_332
    | spl0_333
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2884,f723,f2890,f2887]) ).

fof(f723,plain,
    ( spl0_86
  <=> m2(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2884,plain,
    ( ! [X2,X0,X1] :
        ( ~ r3(b,X0,X0)
        | ~ m3(X2,b,X1)
        | r3(X1,X1,b) )
    | ~ spl0_86 ),
    inference(resolution,[],[f306,f724]) ).

fof(f724,plain,
    ( m2(b)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f306,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ m2(X2)
      | ~ r3(X2,X10,X10)
      | r3(X5,X5,X2)
      | ~ m3(X3,b,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_268) ).

fof(f2265,plain,
    ( spl0_55
    | ~ spl0_96
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f2248,f2177,f766,f586]) ).

fof(f766,plain,
    ( spl0_96
  <=> l0(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2177,plain,
    ( spl0_291
  <=> ! [X3] : r1(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f2248,plain,
    ( r2(a)
    | ~ spl0_96
    | ~ spl0_291 ),
    inference(resolution,[],[f2196,f767]) ).

fof(f767,plain,
    ( l0(a)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f2196,plain,
    ( ! [X0] :
        ( ~ l0(X0)
        | r2(X0) )
    | ~ spl0_291 ),
    inference(resolution,[],[f2178,f226]) ).

fof(f226,axiom,
    ! [X4] :
      ( ~ r1(X4)
      | ~ l0(X4)
      | r2(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).

fof(f2178,plain,
    ( ! [X3] : r1(X3)
    | ~ spl0_291 ),
    inference(avatar_component_clause,[],[f2177]) ).

fof(f2190,plain,
    ( spl0_291
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2189,f1370,f2177]) ).

fof(f1370,plain,
    ( spl0_242
  <=> ! [X8,X7] :
        ( ~ q0(X7,X8)
        | ~ q1(d,X8,d)
        | r1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f2189,plain,
    ( ! [X4] : r1(X4)
    | ~ spl0_242 ),
    inference(subsumption_resolution,[],[f2155,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f2155,plain,
    ( ! [X4] :
        ( r1(X4)
        | ~ q0(X4,d) )
    | ~ spl0_242 ),
    inference(resolution,[],[f1371,f1878]) ).

fof(f1878,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[],[f159,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f159,axiom,
    ! [X2,X3,X10] :
      ( ~ m0(X3,X10,X2)
      | q1(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_121) ).

fof(f1371,plain,
    ( ! [X8,X7] :
        ( ~ q1(d,X8,d)
        | ~ q0(X7,X8)
        | r1(X7) )
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f1370]) ).

fof(f1716,plain,
    ( spl0_52
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1715,f831,f575]) ).

fof(f575,plain,
    ( spl0_52
  <=> ! [X3] : ~ n2(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f831,plain,
    ( spl0_112
  <=> ! [X4,X5] : ~ p4(X4,X4,X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1715,plain,
    ( ! [X0] : ~ n2(X0)
    | ~ spl0_112 ),
    inference(resolution,[],[f248,f1561]) ).

fof(f1561,plain,
    ( ! [X0] : ~ k3(X0,X0,X0)
    | ~ spl0_112 ),
    inference(resolution,[],[f832,f325]) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( p4(X11,X6,X11)
      | ~ k3(X11,X11,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).

fof(f832,plain,
    ( ! [X4,X5] : ~ p4(X4,X4,X5)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f248,axiom,
    ! [X7] :
      ( k3(X7,X7,X7)
      | ~ n2(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).

fof(f1707,plain,
    ( ~ spl0_52
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1706]) ).

fof(f1706,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f1703,f576]) ).

fof(f576,plain,
    ( ! [X3] : ~ n2(X3)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1703,plain,
    ( n2(a)
    | ~ spl0_97 ),
    inference(resolution,[],[f175,f772]) ).

fof(f772,plain,
    ( p1(a,a,a)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_97
  <=> p1(a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( ~ p1(X11,X6,X10)
      | n2(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).

fof(f1632,plain,
    spl0_175,
    inference(avatar_split_clause,[],[f1629,f1084]) ).

fof(f1084,plain,
    ( spl0_175
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1629,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f1623,plain,
    spl0_134,
    inference(avatar_split_clause,[],[f1572,f918]) ).

fof(f918,plain,
    ( spl0_134
  <=> k1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1572,plain,
    k1(b),
    inference(resolution,[],[f39,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f1511,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f9,f488]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f1477,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f6,f735]) ).

fof(f6,axiom,
    q0(b,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f1440,plain,
    ( spl0_112
    | spl0_259 ),
    inference(avatar_split_clause,[],[f326,f1438,f831]) ).

fof(f326,axiom,
    ! [X2,X3,X10,X5] :
      ( p4(X5,X2,X2)
      | ~ p4(X3,X3,X10)
      | ~ r3(X2,X2,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_288) ).

fof(f1372,plain,
    ( spl0_242
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f162,f501,f1370]) ).

fof(f501,plain,
    ( spl0_33
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f162,axiom,
    ! [X8,X7] :
      ( ~ s0(d)
      | ~ q0(X7,X8)
      | r1(X7)
      | ~ q1(d,X8,d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).

fof(f1271,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f24,f600]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f1224,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f1223,f770]) ).

fof(f1223,plain,
    p1(a,a,a),
    inference(subsumption_resolution,[],[f113,f14]) ).

fof(f113,axiom,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_075) ).

fof(f1090,plain,
    ( ~ spl0_175
    | spl0_176 ),
    inference(avatar_split_clause,[],[f227,f1088,f1084]) ).

fof(f227,axiom,
    ! [X5] :
      ( ~ q2(b,X5,b)
      | ~ s1(b)
      | s2(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).

fof(f1020,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f20,f766]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

fof(f921,plain,
    ( ~ spl0_134
    | spl0_86 ),
    inference(avatar_split_clause,[],[f174,f723,f918]) ).

fof(f174,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).

fof(f749,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f1,f501]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN269-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:42:31 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.50  % (12236)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)
% 0.18/0.50  % (12243)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (12247)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)
% 0.18/0.52  % (12239)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)
% 0.18/0.52  % (12233)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (12231)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)
% 0.18/0.53  % (12225)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)
% 0.18/0.53  % (12233)Instruction limit reached!
% 0.18/0.53  % (12233)------------------------------
% 0.18/0.53  % (12233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (12233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (12251)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)
% 0.18/0.53  % (12233)Termination reason: Unknown
% 0.18/0.53  % (12233)Termination phase: Unused predicate definition removal
% 0.18/0.53  
% 0.18/0.53  % (12233)Memory used [KB]: 1279
% 0.18/0.53  % (12233)Time elapsed: 0.003 s
% 0.18/0.53  % (12233)Instructions burned: 2 (million)
% 0.18/0.53  % (12233)------------------------------
% 0.18/0.53  % (12233)------------------------------
% 0.18/0.53  % (12229)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (12227)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)
% 0.18/0.53  % (12226)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)
% 0.18/0.53  % (12235)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (12244)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)
% 0.18/0.54  % (12234)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)
% 0.18/0.54  % (12230)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)
% 0.18/0.54  % (12253)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.43/0.54  % (12232)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.54  % (12242)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.43/0.54  % (12245)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)
% 1.43/0.55  % (12248)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)
% 1.43/0.55  % (12246)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.43/0.55  % (12249)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.43/0.55  % (12252)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)
% 1.43/0.55  % (12237)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.43/0.55  % (12228)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)
% 1.43/0.55  % (12250)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.43/0.55  % (12238)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.55  % (12232)Instruction limit reached!
% 1.43/0.55  % (12232)------------------------------
% 1.43/0.55  % (12232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (12232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (12232)Termination reason: Unknown
% 1.43/0.55  % (12232)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (12232)Memory used [KB]: 6268
% 1.43/0.55  % (12232)Time elapsed: 0.008 s
% 1.43/0.55  % (12232)Instructions burned: 7 (million)
% 1.43/0.55  % (12232)------------------------------
% 1.43/0.55  % (12232)------------------------------
% 1.43/0.56  % (12254)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)
% 1.43/0.56  % (12241)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)
% 1.43/0.56  % (12240)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)
% 1.56/0.57  % (12226)Refutation not found, incomplete strategy% (12226)------------------------------
% 1.56/0.57  % (12226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (12226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (12226)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57  
% 1.56/0.57  % (12226)Memory used [KB]: 6780
% 1.56/0.57  % (12226)Time elapsed: 0.151 s
% 1.56/0.57  % (12226)Instructions burned: 27 (million)
% 1.56/0.57  % (12226)------------------------------
% 1.56/0.57  % (12226)------------------------------
% 1.56/0.57  Detected maximum model sizes of [5]
% 1.56/0.57  TRYING [1]
% 1.56/0.59  % (12227)Instruction limit reached!
% 1.56/0.59  % (12227)------------------------------
% 1.56/0.59  % (12227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (12227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (12227)Termination reason: Unknown
% 1.56/0.59  % (12227)Termination phase: Saturation
% 1.56/0.59  
% 1.56/0.59  % (12227)Memory used [KB]: 1791
% 1.56/0.59  % (12227)Time elapsed: 0.168 s
% 1.56/0.59  % (12227)Instructions burned: 37 (million)
% 1.56/0.59  % (12227)------------------------------
% 1.56/0.59  % (12227)------------------------------
% 1.56/0.59  TRYING [2]
% 1.56/0.59  % (12231)Instruction limit reached!
% 1.56/0.59  % (12231)------------------------------
% 1.56/0.59  % (12231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61  % (12231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61  % (12231)Termination reason: Unknown
% 1.56/0.61  % (12231)Termination phase: Finite model building SAT solving
% 1.56/0.61  
% 1.56/0.61  % (12231)Memory used [KB]: 7547
% 1.56/0.61  % (12231)Time elapsed: 0.152 s
% 1.56/0.61  % (12231)Instructions burned: 52 (million)
% 1.56/0.61  % (12231)------------------------------
% 1.56/0.61  % (12231)------------------------------
% 1.56/0.62  % (12230)Instruction limit reached!
% 1.56/0.62  % (12230)------------------------------
% 1.56/0.62  % (12230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62  % (12230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62  % (12230)Termination reason: Unknown
% 1.56/0.62  % (12230)Termination phase: Saturation
% 1.56/0.62  
% 1.56/0.62  % (12230)Memory used [KB]: 7291
% 1.56/0.62  % (12230)Time elapsed: 0.197 s
% 1.56/0.62  % (12230)Instructions burned: 48 (million)
% 1.56/0.62  % (12230)------------------------------
% 1.56/0.62  % (12230)------------------------------
% 1.56/0.62  Detected maximum model sizes of [5]
% 1.56/0.62  % (12235)Instruction limit reached!
% 1.56/0.62  % (12235)------------------------------
% 1.56/0.62  % (12235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62  % (12235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62  % (12235)Termination reason: Unknown
% 1.56/0.62  % (12235)Termination phase: Saturation
% 1.56/0.62  
% 1.56/0.62  % (12235)Memory used [KB]: 7419
% 1.56/0.62  % (12235)Time elapsed: 0.201 s
% 1.56/0.62  % (12235)Instructions burned: 50 (million)
% 1.56/0.62  % (12235)------------------------------
% 1.56/0.62  % (12235)------------------------------
% 1.56/0.62  TRYING [1]
% 1.56/0.62  % (12234)Instruction limit reached!
% 1.56/0.62  % (12234)------------------------------
% 1.56/0.62  % (12234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62  % (12234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62  % (12234)Termination reason: Unknown
% 1.56/0.62  % (12234)Termination phase: Saturation
% 1.56/0.62  
% 1.56/0.62  % (12234)Memory used [KB]: 1663
% 1.56/0.62  % (12234)Time elapsed: 0.196 s
% 1.56/0.62  % (12234)Instructions burned: 51 (million)
% 1.56/0.62  % (12234)------------------------------
% 1.56/0.62  % (12234)------------------------------
% 1.56/0.62  TRYING [2]
% 1.56/0.62  Detected maximum model sizes of [5]
% 1.56/0.62  TRYING [1]
% 1.56/0.62  TRYING [2]
% 1.56/0.63  TRYING [3]
% 2.13/0.63  % (12228)Instruction limit reached!
% 2.13/0.63  % (12228)------------------------------
% 2.13/0.63  % (12228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63  % (12228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63  % (12228)Termination reason: Unknown
% 2.13/0.63  % (12228)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (12228)Memory used [KB]: 7291
% 2.13/0.63  % (12228)Time elapsed: 0.205 s
% 2.13/0.63  % (12228)Instructions burned: 52 (million)
% 2.13/0.63  % (12228)------------------------------
% 2.13/0.63  % (12228)------------------------------
% 2.13/0.64  % (12229)Instruction limit reached!
% 2.13/0.64  % (12229)------------------------------
% 2.13/0.64  % (12229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (12229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (12229)Termination reason: Unknown
% 2.13/0.64  % (12229)Termination phase: Saturation
% 2.13/0.64  
% 2.13/0.64  % (12229)Memory used [KB]: 7164
% 2.13/0.64  % (12229)Time elapsed: 0.216 s
% 2.13/0.64  % (12229)Instructions burned: 51 (million)
% 2.13/0.64  % (12229)------------------------------
% 2.13/0.64  % (12229)------------------------------
% 2.13/0.64  % (12251)Instruction limit reached!
% 2.13/0.64  % (12251)------------------------------
% 2.13/0.64  % (12251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (12239)Instruction limit reached!
% 2.13/0.64  % (12239)------------------------------
% 2.13/0.64  % (12239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (12239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (12239)Termination reason: Unknown
% 2.13/0.64  % (12239)Termination phase: Saturation
% 2.13/0.64  
% 2.13/0.64  % (12239)Memory used [KB]: 7164
% 2.13/0.64  % (12239)Time elapsed: 0.055 s
% 2.13/0.64  % (12239)Instructions burned: 68 (million)
% 2.13/0.64  % (12239)------------------------------
% 2.13/0.64  % (12239)------------------------------
% 2.13/0.64  % (12242)Instruction limit reached!
% 2.13/0.64  % (12242)------------------------------
% 2.13/0.64  % (12242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (12242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (12242)Termination reason: Unknown
% 2.13/0.64  % (12242)Termination phase: Finite model building SAT solving
% 2.13/0.64  
% 2.13/0.64  % (12242)Memory used [KB]: 7419
% 2.13/0.64  % (12242)Time elapsed: 0.233 s
% 2.13/0.64  % (12242)Instructions burned: 60 (million)
% 2.13/0.64  % (12242)------------------------------
% 2.13/0.64  % (12242)------------------------------
% 2.13/0.66  % (12251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.66  % (12251)Termination reason: Unknown
% 2.13/0.66  % (12251)Termination phase: Saturation
% 2.13/0.66  
% 2.13/0.66  % (12251)Memory used [KB]: 7164
% 2.13/0.66  % (12251)Time elapsed: 0.050 s
% 2.13/0.66  % (12251)Instructions burned: 68 (million)
% 2.13/0.66  % (12251)------------------------------
% 2.13/0.66  % (12251)------------------------------
% 2.13/0.66  % (12255)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.39/0.68  % (12248)First to succeed.
% 2.39/0.68  % (12248)Refutation found. Thanks to Tanya!
% 2.39/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.39/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.68  % (12248)------------------------------
% 2.39/0.68  % (12248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68  % (12248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (12248)Termination reason: Refutation
% 2.39/0.68  
% 2.39/0.68  % (12248)Memory used [KB]: 7419
% 2.39/0.68  % (12248)Time elapsed: 0.274 s
% 2.39/0.68  % (12248)Instructions burned: 64 (million)
% 2.39/0.68  % (12248)------------------------------
% 2.39/0.68  % (12248)------------------------------
% 2.39/0.68  % (12224)Success in time 0.324 s
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