TSTP Solution File: SYN299-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN299-1 : 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 : n016.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 19:37:25 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   55 (  13 unt;   0 def)
%            Number of atoms       :  129 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  147 (  73   ~;  66   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   9 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1654,plain,
    $false,
    inference(avatar_sat_refutation,[],[f481,f999,f1132,f1330,f1463,f1549,f1564,f1609,f1653]) ).

fof(f1653,plain,
    ( ~ spl0_10
    | ~ spl0_27
    | ~ spl0_234 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_234 ),
    inference(subsumption_resolution,[],[f1651,f953]) ).

fof(f953,plain,
    n1(d,d,d),
    inference(subsumption_resolution,[],[f83,f25]) ).

fof(f25,axiom,
    q0(d,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(f83,axiom,
    ( ~ q0(d,d)
    | n1(d,d,d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_045) ).

fof(f1651,plain,
    ( ~ n1(d,d,d)
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_234 ),
    inference(resolution,[],[f1635,f1329]) ).

fof(f1329,plain,
    ( ! [X3,X10] :
        ( ~ q2(X10,X10,X3)
        | ~ n1(X3,d,X10) )
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1328,plain,
    ( spl0_234
  <=> ! [X3,X10] :
        ( ~ n1(X3,d,X10)
        | ~ q2(X10,X10,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f1635,plain,
    ( q2(d,d,d)
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(resolution,[],[f1633,f219]) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).

fof(f1633,plain,
    ( p1(d,d,d)
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(resolution,[],[f477,f410]) ).

fof(f410,plain,
    ( s0(d)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_10
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f477,plain,
    ( ! [X9] :
        ( ~ s0(X9)
        | p1(X9,X9,X9) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_27
  <=> ! [X9] :
        ( p1(X9,X9,X9)
        | ~ s0(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1609,plain,
    ( ~ spl0_88
    | ~ spl0_186
    | ~ spl0_233 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl0_88
    | ~ spl0_186
    | ~ spl0_233 ),
    inference(subsumption_resolution,[],[f1607,f1593]) ).

fof(f1593,plain,
    ( s2(b)
    | ~ spl0_88
    | ~ spl0_186
    | ~ spl0_233 ),
    inference(resolution,[],[f1131,f1558]) ).

fof(f1558,plain,
    ( q2(b,b,b)
    | ~ spl0_88
    | ~ spl0_233 ),
    inference(resolution,[],[f722,f1326]) ).

fof(f1326,plain,
    ( ! [X2] :
        ( ~ k1(X2)
        | q2(X2,X2,X2) )
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f1325,plain,
    ( spl0_233
  <=> ! [X2] :
        ( ~ k1(X2)
        | q2(X2,X2,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f722,plain,
    ( k1(b)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl0_88
  <=> k1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1131,plain,
    ( ! [X5] :
        ( ~ q2(b,X5,b)
        | s2(X5) )
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1130,plain,
    ( spl0_186
  <=> ! [X5] :
        ( ~ q2(b,X5,b)
        | s2(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f1607,plain,
    ( ~ s2(b)
    | ~ spl0_88
    | ~ spl0_233 ),
    inference(subsumption_resolution,[],[f1606,f369]) ).

fof(f369,axiom,
    ~ s3(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1606,plain,
    ( s3(b,a)
    | ~ s2(b)
    | ~ spl0_88
    | ~ spl0_233 ),
    inference(resolution,[],[f1471,f1558]) ).

fof(f1471,plain,
    ! [X2] :
      ( ~ q2(b,X2,b)
      | ~ s2(X2)
      | s3(X2,a) ),
    inference(resolution,[],[f311,f38]) ).

fof(f38,axiom,
    m0(b,a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( ~ m0(X10,X11,X3)
      | ~ s2(X2)
      | ~ q2(X10,X2,X10)
      | s3(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).

fof(f1564,plain,
    spl0_185,
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1563,plain,
    ( $false
    | spl0_185 ),
    inference(subsumption_resolution,[],[f1562,f1128]) ).

fof(f1128,plain,
    ( ~ s1(b)
    | spl0_185 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1126,plain,
    ( spl0_185
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1562,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(f1549,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f1526,f721]) ).

fof(f1526,plain,
    k1(b),
    inference(resolution,[],[f39,f15]) ).

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

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

fof(f1463,plain,
    ( ~ spl0_10
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_28 ),
    inference(resolution,[],[f480,f410]) ).

fof(f480,plain,
    ( ! [X4] : ~ s0(X4)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_28
  <=> ! [X4] : ~ s0(X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1330,plain,
    ( spl0_233
    | spl0_234 ),
    inference(avatar_split_clause,[],[f223,f1328,f1325]) ).

fof(f223,axiom,
    ! [X2,X3,X10] :
      ( ~ n1(X3,d,X10)
      | ~ k1(X2)
      | ~ q2(X10,X10,X3)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_185) ).

fof(f1132,plain,
    ( ~ spl0_185
    | spl0_186 ),
    inference(avatar_split_clause,[],[f227,f1130,f1126]) ).

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

fof(f999,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f1,f409]) ).

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

fof(f481,plain,
    ( spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f110,f479,f476]) ).

fof(f110,axiom,
    ! [X9,X4] :
      ( ~ s0(X4)
      | p1(X9,X9,X9)
      | ~ s0(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN299-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:03:16 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.52  % (12991)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (12999)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56  % (12998)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)
% 0.20/0.57  % (12991)First to succeed.
% 0.20/0.57  % (12991)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (12991)------------------------------
% 0.20/0.57  % (12991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12991)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (12991)Memory used [KB]: 6780
% 0.20/0.57  % (12991)Time elapsed: 0.118 s
% 0.20/0.57  % (12991)Instructions burned: 23 (million)
% 0.20/0.57  % (12991)------------------------------
% 0.20/0.57  % (12991)------------------------------
% 0.20/0.57  % (12986)Success in time 0.218 s
%------------------------------------------------------------------------------