TSTP Solution File: KRS165+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n002.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 17:30:59 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (   5 unt;   0 def)
%            Number of atoms       :  195 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  222 (  83   ~; 104   |;  15   &)
%                                         (  13 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   9 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   25 (  21   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75,plain,
    $false,
    inference(avatar_sat_refutation,[],[f46,f51,f52,f53,f58,f59,f60,f61,f63,f66,f68,f70,f72,f74]) ).

fof(f74,plain,
    ( ~ spl4_6
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f73,f35,f43]) ).

fof(f43,plain,
    ( spl4_6
  <=> xsd_string(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f35,plain,
    ( spl4_4
  <=> xsd_integer(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f73,plain,
    ( ~ xsd_string(sK3)
    | ~ spl4_4 ),
    inference(resolution,[],[f37,f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ xsd_integer(X0)
    <=> xsd_string(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f37,plain,
    ( xsd_integer(sK3)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f72,plain,
    ( spl4_7
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f71,f27,f48]) ).

fof(f48,plain,
    ( spl4_7
  <=> cCar(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f27,plain,
    ( spl4_2
  <=> cAutomobile(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f71,plain,
    ( cCar(sK1)
    | ~ spl4_2 ),
    inference(resolution,[],[f29,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ cAutomobile(X0)
      | cCar(X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cCar(X0)
    <=> cAutomobile(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f29,plain,
    ( cAutomobile(sK1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f70,plain,
    ( spl4_1
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f69,f55,f23]) ).

fof(f23,plain,
    ( spl4_1
  <=> cAutomobile(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f55,plain,
    ( spl4_8
  <=> cCar(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f69,plain,
    ( cAutomobile(sK0)
    | ~ spl4_8 ),
    inference(resolution,[],[f57,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ cCar(X0)
      | cAutomobile(X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f57,plain,
    ( cCar(sK0)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f68,plain,
    ~ spl4_5,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | ~ spl4_5 ),
    inference(resolution,[],[f41,f9]) ).

fof(f9,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f41,plain,
    ( cowlNothing(sK2)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl4_5
  <=> cowlNothing(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f66,plain,
    ( spl4_6
    | spl4_4 ),
    inference(avatar_split_clause,[],[f64,f35,f43]) ).

fof(f64,plain,
    ( xsd_string(sK3)
    | spl4_4 ),
    inference(resolution,[],[f13,f36]) ).

fof(f36,plain,
    ( ~ xsd_integer(sK3)
    | spl4_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f13,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f63,plain,
    spl4_3,
    inference(avatar_contradiction_clause,[],[f62]) ).

fof(f62,plain,
    ( $false
    | spl4_3 ),
    inference(resolution,[],[f8,f33]) ).

fof(f33,plain,
    ( ~ cowlThing(sK2)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl4_3
  <=> cowlThing(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f8,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f61,plain,
    ( ~ spl4_3
    | ~ spl4_7
    | spl4_6
    | spl4_8
    | spl4_5
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f16,f35,f39,f55,f43,f48,f31]) ).

fof(f16,plain,
    ( ~ xsd_integer(sK3)
    | cowlNothing(sK2)
    | cCar(sK0)
    | xsd_string(sK3)
    | ~ cCar(sK1)
    | ~ cowlThing(sK2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ? [X3] :
        ( xsd_string(X3)
      <~> ~ xsd_integer(X3) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
    | ? [X1] :
        ( ~ cCar(X1)
        & cAutomobile(X1) )
    | ? [X2] :
        ( cCar(X2)
        & ~ cAutomobile(X2) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ~ ( ! [X2] :
          ( cCar(X2)
         => cAutomobile(X2) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) )
      & ! [X1] :
          ( cAutomobile(X1)
         => cCar(X1) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ( ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) )
      & ! [X0] :
          ( cAutomobile(X0)
         => cCar(X0) )
      & ! [X0] :
          ( cCar(X0)
         => cAutomobile(X0) )
      & ! [X0] :
          ( ~ xsd_integer(X0)
        <=> xsd_string(X0) ) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ( ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) )
    & ! [X0] :
        ( cAutomobile(X0)
       => cCar(X0) )
    & ! [X0] :
        ( cCar(X0)
       => cAutomobile(X0) )
    & ! [X0] :
        ( ~ xsd_integer(X0)
      <=> xsd_string(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f60,plain,
    ( ~ spl4_3
    | spl4_8
    | spl4_5
    | spl4_4
    | ~ spl4_6
    | spl4_2 ),
    inference(avatar_split_clause,[],[f15,f27,f43,f35,f39,f55,f31]) ).

fof(f15,plain,
    ( cAutomobile(sK1)
    | ~ xsd_string(sK3)
    | xsd_integer(sK3)
    | cowlNothing(sK2)
    | cCar(sK0)
    | ~ cowlThing(sK2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f59,plain,
    ( spl4_2
    | ~ spl4_4
    | spl4_5
    | ~ spl4_3
    | spl4_8
    | spl4_6 ),
    inference(avatar_split_clause,[],[f14,f43,f55,f31,f39,f35,f27]) ).

fof(f14,plain,
    ( xsd_string(sK3)
    | cCar(sK0)
    | ~ cowlThing(sK2)
    | cowlNothing(sK2)
    | ~ xsd_integer(sK3)
    | cAutomobile(sK1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f58,plain,
    ( spl4_8
    | ~ spl4_3
    | spl4_4
    | ~ spl4_7
    | spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f17,f43,f39,f48,f35,f31,f55]) ).

fof(f17,plain,
    ( ~ xsd_string(sK3)
    | cowlNothing(sK2)
    | ~ cCar(sK1)
    | xsd_integer(sK3)
    | ~ cowlThing(sK2)
    | cCar(sK0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f53,plain,
    ( spl4_2
    | ~ spl4_1
    | ~ spl4_3
    | ~ spl4_4
    | spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f18,f39,f43,f35,f31,f23,f27]) ).

fof(f18,plain,
    ( cowlNothing(sK2)
    | xsd_string(sK3)
    | ~ xsd_integer(sK3)
    | ~ cowlThing(sK2)
    | ~ cAutomobile(sK0)
    | cAutomobile(sK1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f52,plain,
    ( ~ spl4_7
    | spl4_5
    | ~ spl4_1
    | spl4_4
    | ~ spl4_6
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f21,f31,f43,f35,f23,f39,f48]) ).

fof(f21,plain,
    ( ~ cowlThing(sK2)
    | ~ xsd_string(sK3)
    | xsd_integer(sK3)
    | ~ cAutomobile(sK0)
    | cowlNothing(sK2)
    | ~ cCar(sK1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f51,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7
    | spl4_6
    | ~ spl4_1
    | spl4_5 ),
    inference(avatar_split_clause,[],[f20,f39,f23,f43,f48,f35,f31]) ).

fof(f20,plain,
    ( cowlNothing(sK2)
    | ~ cAutomobile(sK0)
    | xsd_string(sK3)
    | ~ cCar(sK1)
    | ~ xsd_integer(sK3)
    | ~ cowlThing(sK2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f46,plain,
    ( ~ spl4_1
    | spl4_2
    | ~ spl4_3
    | spl4_4
    | spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f19,f43,f39,f35,f31,f27,f23]) ).

fof(f19,plain,
    ( ~ xsd_string(sK3)
    | cowlNothing(sK2)
    | xsd_integer(sK3)
    | ~ cowlThing(sK2)
    | cAutomobile(sK1)
    | ~ cAutomobile(sK0) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:52:28 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (21291)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51  % (21277)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52  % (21300)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 (3000ds/68Mi)
% 0.19/0.52  % (21299)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.52  % (21285)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52  % (21276)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52  % (21283)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (21276)First to succeed.
% 0.19/0.52  % (21281)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.53  % (21280)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.53  % (21274)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53  % (21302)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53  % (21281)Instruction limit reached!
% 0.19/0.53  % (21281)------------------------------
% 0.19/0.53  % (21281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21281)Termination reason: Unknown
% 0.19/0.53  % (21281)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (21281)Memory used [KB]: 895
% 0.19/0.53  % (21281)Time elapsed: 0.003 s
% 0.19/0.53  % (21281)Instructions burned: 2 (million)
% 0.19/0.53  % (21281)------------------------------
% 0.19/0.53  % (21281)------------------------------
% 0.19/0.53  % (21283)Also succeeded, but the first one will report.
% 0.19/0.53  % (21276)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (21276)------------------------------
% 0.19/0.53  % (21276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21276)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (21276)Memory used [KB]: 5373
% 0.19/0.53  % (21276)Time elapsed: 0.126 s
% 0.19/0.53  % (21276)Instructions burned: 1 (million)
% 0.19/0.53  % (21276)------------------------------
% 0.19/0.53  % (21276)------------------------------
% 0.19/0.53  % (21272)Success in time 0.175 s
%------------------------------------------------------------------------------