TSTP Solution File: SYN171-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN171-1 : 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 : n025.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 19:37:05 EDT 2022

% Result   : Unsatisfiable 2.34s 0.65s
% Output   : Refutation 2.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  142 (  26 unt;   0 def)
%            Number of atoms       :  343 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  402 ( 201   ~; 180   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   45 (  44 usr;  22 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  127 ( 127   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3231,plain,
    $false,
    inference(avatar_sat_refutation,[],[f426,f458,f583,f611,f829,f991,f1209,f1249,f1292,f1444,f1451,f1525,f1585,f1597,f1626,f1638,f1780,f2136,f2198,f2828,f2840,f3230]) ).

fof(f3230,plain,
    ( ~ spl0_11
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_52
    | ~ spl0_169
    | ~ spl0_312 ),
    inference(avatar_contradiction_clause,[],[f3229]) ).

fof(f3229,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_38
    | ~ spl0_40
    | ~ spl0_52
    | ~ spl0_169
    | ~ spl0_312 ),
    inference(subsumption_resolution,[],[f3228,f1991]) ).

fof(f1991,plain,
    ( m1(b,a,b)
    | ~ spl0_11
    | ~ spl0_40 ),
    inference(resolution,[],[f1857,f529]) ).

fof(f529,plain,
    ( r0(b)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f528,plain,
    ( spl0_40
  <=> r0(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1857,plain,
    ( ! [X1] :
        ( ~ r0(X1)
        | m1(X1,a,X1) )
    | ~ spl0_11 ),
    inference(resolution,[],[f73,f412]) ).

fof(f412,plain,
    ( l0(a)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_11
  <=> l0(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

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

fof(f3228,plain,
    ( ~ m1(b,a,b)
    | ~ spl0_38
    | ~ spl0_52
    | ~ spl0_169
    | ~ spl0_312 ),
    inference(resolution,[],[f3227,f2886]) ).

fof(f2886,plain,
    ( ! [X14,X15] :
        ( p2(X14,X15,X15)
        | ~ m1(X15,X14,X15) )
    | ~ spl0_38 ),
    inference(resolution,[],[f2874,f214]) ).

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

fof(f2874,plain,
    ( ! [X10,X11] :
        ( ~ p2(X10,X11,X10)
        | p2(X10,X11,X11) )
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f2870,f2658]) ).

fof(f2658,plain,
    ( ! [X0,X1] : p1(X0,X1,a)
    | ~ spl0_38 ),
    inference(resolution,[],[f2653,f2608]) ).

fof(f2608,plain,
    ! [X6,X5] :
      ( ~ p1(a,X5,a)
      | p1(X5,X6,a) ),
    inference(resolution,[],[f120,f12]) ).

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

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

fof(f2653,plain,
    ( ! [X0] : p1(a,X0,a)
    | ~ spl0_38 ),
    inference(resolution,[],[f2608,f521]) ).

fof(f521,plain,
    ( p1(a,a,a)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f520,plain,
    ( spl0_38
  <=> p1(a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2870,plain,
    ! [X10,X11] :
      ( ~ p1(X10,a,a)
      | p2(X10,X11,X11)
      | ~ p2(X10,X11,X10) ),
    inference(resolution,[],[f184,f1609]) ).

fof(f1609,plain,
    l1(a,a),
    inference(resolution,[],[f40,f37]) ).

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

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

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

fof(f3227,plain,
    ( ~ p2(a,b,b)
    | ~ spl0_52
    | ~ spl0_169
    | ~ spl0_312 ),
    inference(resolution,[],[f3225,f244]) ).

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

fof(f3225,plain,
    ( ~ k3(b,a,b)
    | ~ spl0_52
    | ~ spl0_169
    | ~ spl0_312 ),
    inference(resolution,[],[f3222,f2362]) ).

fof(f2362,plain,
    ( ! [X1] :
        ( m3(X1,X1,a)
        | ~ k3(X1,a,X1) )
    | ~ spl0_169 ),
    inference(resolution,[],[f273,f1057]) ).

fof(f1057,plain,
    ( r2(a)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1056,plain,
    ( spl0_169
  <=> r2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

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

fof(f3222,plain,
    ( ! [X0] : ~ m3(X0,b,a)
    | ~ spl0_52
    | ~ spl0_312 ),
    inference(resolution,[],[f2827,f1920]) ).

fof(f1920,plain,
    ( ~ r3(a,a,d)
    | ~ spl0_52 ),
    inference(resolution,[],[f579,f369]) ).

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

fof(f579,plain,
    ( ! [X2,X5] :
        ( p4(X5,X2,X2)
        | ~ r3(X2,X2,X5) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl0_52
  <=> ! [X2,X5] :
        ( ~ r3(X2,X2,X5)
        | p4(X5,X2,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2827,plain,
    ( ! [X4,X5] :
        ( r3(X5,X5,d)
        | ~ m3(X4,b,X5) )
    | ~ spl0_312 ),
    inference(avatar_component_clause,[],[f2826]) ).

fof(f2826,plain,
    ( spl0_312
  <=> ! [X4,X5] :
        ( r3(X5,X5,d)
        | ~ m3(X4,b,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f2840,plain,
    ( ~ spl0_225
    | ~ spl0_261
    | ~ spl0_311 ),
    inference(avatar_contradiction_clause,[],[f2836]) ).

fof(f2836,plain,
    ( $false
    | ~ spl0_225
    | ~ spl0_261
    | ~ spl0_311 ),
    inference(resolution,[],[f2824,f1831]) ).

fof(f1831,plain,
    ( ! [X1] : r3(X1,X1,X1)
    | ~ spl0_225
    | ~ spl0_261 ),
    inference(resolution,[],[f1821,f303]) ).

fof(f303,axiom,
    ! [X9,X4] :
      ( ~ l2(X4,X9)
      | r3(X9,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_265) ).

fof(f1821,plain,
    ( ! [X0] : l2(X0,X0)
    | ~ spl0_225
    | ~ spl0_261 ),
    inference(resolution,[],[f1738,f19]) ).

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

fof(f1738,plain,
    ( ! [X3,X11,X6] :
        ( ~ m0(X6,X11,X3)
        | l2(X3,X3) )
    | ~ spl0_225
    | ~ spl0_261 ),
    inference(subsumption_resolution,[],[f1443,f1588]) ).

fof(f1588,plain,
    ( ! [X0] : s1(X0)
    | ~ spl0_225 ),
    inference(resolution,[],[f1291,f17]) ).

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

fof(f1291,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f1290]) ).

fof(f1290,plain,
    ( spl0_225
  <=> ! [X9,X4] :
        ( s1(X9)
        | ~ q0(X9,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f1443,plain,
    ( ! [X3,X11,X6] :
        ( ~ s1(X11)
        | l2(X3,X3)
        | ~ m0(X6,X11,X3) )
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1442,plain,
    ( spl0_261
  <=> ! [X6,X11,X3] :
        ( l2(X3,X3)
        | ~ s1(X11)
        | ~ m0(X6,X11,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f2824,plain,
    ( ! [X3] : ~ r3(d,X3,X3)
    | ~ spl0_311 ),
    inference(avatar_component_clause,[],[f2823]) ).

fof(f2823,plain,
    ( spl0_311
  <=> ! [X3] : ~ r3(d,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2828,plain,
    ( spl0_311
    | spl0_312
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f2821,f1334,f2826,f2823]) ).

fof(f1334,plain,
    ( spl0_236
  <=> m2(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2821,plain,
    ( ! [X3,X4,X5] :
        ( r3(X5,X5,d)
        | ~ m3(X4,b,X5)
        | ~ r3(d,X3,X3) )
    | ~ spl0_236 ),
    inference(resolution,[],[f306,f1335]) ).

fof(f1335,plain,
    ( m2(d)
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f1334]) ).

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

fof(f2198,plain,
    ( spl0_169
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2193,f424,f411,f1056]) ).

fof(f424,plain,
    ( spl0_14
  <=> ! [X8,X7] :
        ( ~ q0(X7,X8)
        | ~ q1(d,X8,d)
        | r1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2193,plain,
    ( r2(a)
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(resolution,[],[f2171,f412]) ).

fof(f2171,plain,
    ( ! [X1] :
        ( ~ l0(X1)
        | r2(X1) )
    | ~ spl0_14 ),
    inference(resolution,[],[f2169,f226]) ).

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

fof(f2169,plain,
    ( ! [X4] : r1(X4)
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2166,f17]) ).

fof(f2166,plain,
    ( ! [X4] :
        ( ~ q0(X4,d)
        | r1(X4) )
    | ~ spl0_14 ),
    inference(resolution,[],[f425,f1869]) ).

fof(f1869,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[],[f159,f19]) ).

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

fof(f425,plain,
    ( ! [X8,X7] :
        ( ~ q1(d,X8,d)
        | ~ q0(X7,X8)
        | r1(X7) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f2136,plain,
    ( ~ spl0_53
    | ~ spl0_225
    | ~ spl0_263 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_225
    | ~ spl0_263 ),
    inference(subsumption_resolution,[],[f2129,f1781]) ).

fof(f1781,plain,
    ( ! [X5] : k3(X5,X5,X5)
    | ~ spl0_225
    | ~ spl0_263 ),
    inference(subsumption_resolution,[],[f1450,f1588]) ).

fof(f1450,plain,
    ( ! [X5] :
        ( ~ s1(X5)
        | k3(X5,X5,X5) )
    | ~ spl0_263 ),
    inference(avatar_component_clause,[],[f1449]) ).

fof(f1449,plain,
    ( spl0_263
  <=> ! [X5] :
        ( ~ s1(X5)
        | k3(X5,X5,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f2129,plain,
    ( ! [X0] : ~ k3(X0,X0,X0)
    | ~ spl0_53 ),
    inference(resolution,[],[f582,f325]) ).

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

fof(f582,plain,
    ( ! [X3,X10] : ~ p4(X3,X3,X10)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f581,plain,
    ( spl0_53
  <=> ! [X3,X10] : ~ p4(X3,X3,X10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1780,plain,
    ( ~ spl0_83
    | ~ spl0_262 ),
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f1778,f704]) ).

fof(f704,plain,
    ( s2(d)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f703,plain,
    ( spl0_83
  <=> s2(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1778,plain,
    ( ~ s2(d)
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f1776,f1610]) ).

fof(f1610,plain,
    l1(d,d),
    inference(resolution,[],[f40,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f1776,plain,
    ( ~ l1(d,d)
    | ~ s2(d)
    | ~ spl0_262 ),
    inference(resolution,[],[f224,f1447]) ).

fof(f1447,plain,
    ( ! [X2] :
        ( ~ q2(d,X2,d)
        | ~ s2(X2) )
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f1446]) ).

fof(f1446,plain,
    ( spl0_262
  <=> ! [X2] :
        ( ~ q2(d,X2,d)
        | ~ s2(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

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

fof(f1638,plain,
    ( spl0_236
    | ~ spl0_12
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f1636,f1204,f415,f1334]) ).

fof(f415,plain,
    ( spl0_12
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1204,plain,
    ( spl0_205
  <=> ! [X9] :
        ( ~ s0(X9)
        | m2(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f1636,plain,
    ( m2(d)
    | ~ spl0_12
    | ~ spl0_205 ),
    inference(resolution,[],[f1205,f416]) ).

fof(f416,plain,
    ( s0(d)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f1205,plain,
    ( ! [X9] :
        ( ~ s0(X9)
        | m2(X9) )
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1626,plain,
    ~ spl0_206,
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | ~ spl0_206 ),
    inference(subsumption_resolution,[],[f1604,f1208]) ).

fof(f1208,plain,
    ( ! [X4,X5] : ~ l1(X4,X5)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1207,plain,
    ( spl0_206
  <=> ! [X4,X5] : ~ l1(X4,X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f1604,plain,
    l1(b,b),
    inference(resolution,[],[f40,f7]) ).

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

fof(f1597,plain,
    ( spl0_113
    | ~ spl0_225 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | spl0_113
    | ~ spl0_225 ),
    inference(subsumption_resolution,[],[f1592,f828]) ).

fof(f828,plain,
    ( ~ s1(a)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_113
  <=> s1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1592,plain,
    ( s1(a)
    | ~ spl0_225 ),
    inference(resolution,[],[f1291,f36]) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

fof(f1585,plain,
    ~ spl0_73,
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1579,f666]) ).

fof(f666,plain,
    ( ! [X3] : ~ s1(X3)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_73
  <=> ! [X3] : ~ s1(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1579,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

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

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

fof(f1525,plain,
    ~ spl0_90,
    inference(avatar_contradiction_clause,[],[f1524]) ).

fof(f1524,plain,
    ( $false
    | ~ spl0_90 ),
    inference(resolution,[],[f733,f14]) ).

fof(f733,plain,
    ( ! [X4] : ~ p0(X4,X4)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl0_90
  <=> ! [X4] : ~ p0(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1451,plain,
    ( spl0_262
    | spl0_263 ),
    inference(avatar_split_clause,[],[f231,f1449,f1446]) ).

fof(f231,axiom,
    ! [X2,X5] :
      ( ~ s1(X5)
      | ~ q2(d,X2,d)
      | ~ s2(X2)
      | k3(X5,X5,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_193) ).

fof(f1444,plain,
    ( spl0_90
    | spl0_261 ),
    inference(avatar_split_clause,[],[f171,f1442,f732]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( l2(X3,X3)
      | ~ p0(X10,X10)
      | ~ s1(X11)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

fof(f1292,plain,
    ( spl0_225
    | spl0_73 ),
    inference(avatar_split_clause,[],[f164,f665,f1290]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ s1(X5)
      | s1(X9)
      | ~ q0(X9,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f1249,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f1248,f520]) ).

fof(f1248,plain,
    p1(a,a,a),
    inference(subsumption_resolution,[],[f113,f14]) ).

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

fof(f1209,plain,
    ( spl0_205
    | spl0_206 ),
    inference(avatar_split_clause,[],[f173,f1207,f1204]) ).

fof(f173,axiom,
    ! [X9,X4,X5] :
      ( ~ l1(X4,X5)
      | ~ s0(X9)
      | m2(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).

fof(f991,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f1,f415]) ).

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

fof(f829,plain,
    ( spl0_83
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f228,f826,f415,f703]) ).

fof(f228,axiom,
    ( ~ s1(a)
    | ~ s0(d)
    | s2(d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).

fof(f611,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f9,f528]) ).

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

fof(f583,plain,
    ( spl0_52
    | spl0_53 ),
    inference(avatar_split_clause,[],[f326,f581,f578]) ).

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

fof(f458,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f20,f411]) ).

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

fof(f426,plain,
    ( spl0_14
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f162,f415,f424]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN171-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 21:44:30 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.49  % (7659)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)
% 0.17/0.51  % (7668)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)
% 0.17/0.51  % (7660)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)
% 0.17/0.51  % (7651)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)
% 0.17/0.52  % (7647)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)
% 0.17/0.52  % (7652)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.54  % (7667)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)
% 0.17/0.54  % (7646)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)
% 0.17/0.54  % (7656)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)
% 0.17/0.54  % (7652)Instruction limit reached!
% 0.17/0.54  % (7652)------------------------------
% 0.17/0.54  % (7652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (7652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (7652)Termination reason: Unknown
% 0.17/0.54  % (7652)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (7652)Memory used [KB]: 6268
% 0.17/0.54  % (7652)Time elapsed: 0.016 s
% 0.17/0.54  % (7652)Instructions burned: 7 (million)
% 0.17/0.54  % (7652)------------------------------
% 0.17/0.54  % (7652)------------------------------
% 0.17/0.54  % (7645)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)
% 0.17/0.55  % (7657)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.55  % (7658)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.56  % (7648)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)
% 0.17/0.56  % (7655)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.56  % (7654)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)
% 0.17/0.56  Detected maximum model sizes of [5]
% 0.17/0.56  % (7663)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.56  TRYING [1]
% 0.17/0.57  % (7661)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)
% 0.17/0.57  TRYING [2]
% 0.17/0.57  % (7649)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.58  % (7653)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.58  % (7671)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)
% 0.17/0.58  % (7670)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.58  % (7653)Instruction limit reached!
% 0.17/0.58  % (7653)------------------------------
% 0.17/0.58  % (7653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.58  % (7653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58  % (7653)Termination reason: Unknown
% 0.17/0.58  % (7653)Termination phase: Blocked clause elimination
% 0.17/0.58  
% 0.17/0.58  % (7653)Memory used [KB]: 1407
% 0.17/0.58  % (7653)Time elapsed: 0.004 s
% 0.17/0.58  % (7653)Instructions burned: 2 (million)
% 0.17/0.58  % (7653)------------------------------
% 0.17/0.58  % (7653)------------------------------
% 0.17/0.58  % (7672)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)
% 0.17/0.59  % (7650)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)
% 0.17/0.59  % (7673)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.59  % (7651)Instruction limit reached!
% 0.17/0.59  % (7651)------------------------------
% 0.17/0.59  % (7651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.59  % (7651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.59  % (7651)Termination reason: Unknown
% 0.17/0.59  % (7651)Termination phase: Finite model building SAT solving
% 0.17/0.59  
% 0.17/0.59  % (7651)Memory used [KB]: 7547
% 0.17/0.59  % (7651)Time elapsed: 0.174 s
% 0.17/0.59  % (7651)Instructions burned: 51 (million)
% 0.17/0.59  % (7651)------------------------------
% 0.17/0.59  % (7651)------------------------------
% 0.17/0.59  % (7662)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.60  % (7665)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)
% 0.17/0.60  % (7669)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.78/0.61  % (7674)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)
% 1.78/0.61  % (7666)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.03/0.62  % (7646)Refutation not found, incomplete strategy% (7646)------------------------------
% 2.03/0.62  % (7646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62  % (7646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62  % (7646)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.62  
% 2.03/0.62  % (7646)Memory used [KB]: 6780
% 2.03/0.62  % (7646)Time elapsed: 0.196 s
% 2.03/0.62  % (7646)Instructions burned: 24 (million)
% 2.03/0.62  % (7646)------------------------------
% 2.03/0.62  % (7646)------------------------------
% 2.03/0.62  Detected maximum model sizes of [5]
% 2.03/0.62  TRYING [1]
% 2.03/0.63  % (7664)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)
% 2.03/0.63  % (7647)Instruction limit reached!
% 2.03/0.63  % (7647)------------------------------
% 2.03/0.63  % (7647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (7647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (7647)Termination reason: Unknown
% 2.03/0.63  % (7647)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (7647)Memory used [KB]: 1791
% 2.03/0.63  % (7647)Time elapsed: 0.226 s
% 2.03/0.63  % (7647)Instructions burned: 37 (million)
% 2.03/0.63  % (7647)------------------------------
% 2.03/0.63  % (7647)------------------------------
% 2.03/0.64  % (7659)Instruction limit reached!
% 2.03/0.64  % (7659)------------------------------
% 2.03/0.64  % (7659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (7659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (7659)Termination reason: Unknown
% 2.03/0.64  % (7659)Termination phase: Saturation
% 2.03/0.64  
% 2.03/0.64  % (7659)Memory used [KB]: 7164
% 2.03/0.64  % (7659)Time elapsed: 0.076 s
% 2.03/0.64  % (7659)Instructions burned: 68 (million)
% 2.03/0.64  % (7659)------------------------------
% 2.03/0.64  % (7659)------------------------------
% 2.03/0.64  TRYING [2]
% 2.34/0.65  % (7668)First to succeed.
% 2.34/0.65  % (7668)Refutation found. Thanks to Tanya!
% 2.34/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.34/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.66  % (7668)------------------------------
% 2.34/0.66  % (7668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66  % (7668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.66  % (7668)Termination reason: Refutation
% 2.34/0.66  
% 2.34/0.66  % (7668)Memory used [KB]: 7291
% 2.34/0.66  % (7668)Time elapsed: 0.173 s
% 2.34/0.66  % (7668)Instructions burned: 60 (million)
% 2.34/0.66  % (7668)------------------------------
% 2.34/0.66  % (7668)------------------------------
% 2.34/0.66  % (7644)Success in time 0.315 s
%------------------------------------------------------------------------------