TSTP Solution File: KRS137+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS137+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 : 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 17:30:55 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   57 (  14 unt;   0 def)
%            Number of atoms       :  205 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  261 ( 113   ~; 109   |;  26   &)
%                                         (  10 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   6 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   25 (  17   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f61,f65,f71,f72,f76]) ).

fof(f76,plain,
    ( ~ spl2_3
    | ~ spl2_5 ),
    inference(avatar_contradiction_clause,[],[f75]) ).

fof(f75,plain,
    ( $false
    | ~ spl2_3
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f74,f60]) ).

fof(f60,plain,
    ( xsd_string(sK0)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl2_5
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f74,plain,
    ( ~ xsd_string(sK0)
    | ~ spl2_3 ),
    inference(resolution,[],[f27,f46]) ).

fof(f46,plain,
    ( xsd_integer(sK0)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl2_3
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

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

fof(f72,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f66,f48]) ).

fof(f48,plain,
    ( spl2_4
  <=> cAutomobile(icar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f66,plain,
    cAutomobile(icar),
    inference(resolution,[],[f24,f19]) ).

fof(f19,plain,
    cCar(icar),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    cCar(icar),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f24,plain,
    ! [X0] :
      ( ~ cCar(X0)
      | cAutomobile(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ( cAutomobile(X0)
        | ~ cCar(X0) )
      & ( cCar(X0)
        | ~ cAutomobile(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

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

fof(f71,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f42,f26]) ).

fof(f26,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(f42,plain,
    ( cowlNothing(sK1)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl2_2
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f65,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f62,f36]) ).

fof(f36,plain,
    ( spl2_1
  <=> cCar(iauto) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f62,plain,
    cCar(iauto),
    inference(resolution,[],[f23,f30]) ).

fof(f30,plain,
    cAutomobile(iauto),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    cAutomobile(iauto),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f23,plain,
    ! [X0] :
      ( ~ cAutomobile(X0)
      | cCar(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f61,plain,
    ( ~ spl2_1
    | ~ spl2_4
    | spl2_5 ),
    inference(avatar_split_clause,[],[f56,f58,f48,f36]) ).

fof(f56,plain,
    ( xsd_string(sK0)
    | ~ cAutomobile(icar)
    | ~ cCar(iauto) ),
    inference(subsumption_resolution,[],[f55,f28]) ).

fof(f28,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f55,plain,
    ( ~ xsd_integer(sK0)
    | ~ cAutomobile(icar)
    | ~ cCar(iauto)
    | xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f54,f25]) ).

fof(f25,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f54,plain,
    ( ~ cCar(iauto)
    | ~ cAutomobile(icar)
    | xsd_string(sK0)
    | ~ cowlThing(sK1)
    | ~ xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f53,f22]) ).

fof(f22,plain,
    cowlThing(iauto),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    cowlThing(iauto),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f53,plain,
    ( xsd_string(sK0)
    | ~ cowlThing(iauto)
    | ~ cAutomobile(icar)
    | ~ cowlThing(sK1)
    | ~ xsd_integer(sK0)
    | ~ cCar(iauto) ),
    inference(subsumption_resolution,[],[f52,f25]) ).

fof(f52,plain,
    ( ~ xsd_integer(sK0)
    | ~ cCar(iauto)
    | xsd_string(sK0)
    | ~ cowlThing(icar)
    | ~ cowlThing(sK1)
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto) ),
    inference(subsumption_resolution,[],[f20,f26]) ).

fof(f20,plain,
    ( cowlNothing(sK1)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ~ cowlThing(sK1)
    | xsd_string(sK0)
    | ~ cAutomobile(icar)
    | ~ cowlThing(icar)
    | ~ xsd_integer(sK0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ( ( ~ xsd_string(sK0)
        | xsd_integer(sK0) )
      & ( xsd_string(sK0)
        | ~ xsd_integer(sK0) ) )
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1)
    | ~ cowlThing(icar) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f15,f14]) ).

fof(f14,plain,
    ( ? [X0] :
        ( ( ~ xsd_string(X0)
          | xsd_integer(X0) )
        & ( xsd_string(X0)
          | ~ xsd_integer(X0) ) )
   => ( ( ~ xsd_string(sK0)
        | xsd_integer(sK0) )
      & ( xsd_string(sK0)
        | ~ xsd_integer(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X0] :
        ( ( ~ xsd_string(X0)
          | xsd_integer(X0) )
        & ( xsd_string(X0)
          | ~ xsd_integer(X0) ) )
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
    | ~ cowlThing(icar) ),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ( ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
    | ~ cowlThing(icar) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ? [X1] :
        ( ~ xsd_integer(X1)
      <~> xsd_string(X1) )
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
    | ~ cowlThing(icar) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ ( cowlThing(icar)
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) )
      & ! [X1] :
          ( ~ xsd_integer(X1)
        <=> xsd_string(X1) )
      & cAutomobile(icar)
      & cCar(iauto)
      & cowlThing(iauto) ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ( cCar(iauto)
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) )
      & cowlThing(iauto)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & cowlThing(icar)
      & cAutomobile(icar) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ( cCar(iauto)
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) )
    & cowlThing(iauto)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & cowlThing(icar)
    & cAutomobile(icar) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f51,plain,
    ( ~ spl2_1
    | spl2_2
    | spl2_3
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f34,f48,f44,f40,f36]) ).

fof(f34,plain,
    ( ~ cAutomobile(icar)
    | xsd_integer(sK0)
    | cowlNothing(sK1)
    | ~ cCar(iauto) ),
    inference(subsumption_resolution,[],[f33,f28]) ).

fof(f33,plain,
    ( cowlNothing(sK1)
    | ~ cAutomobile(icar)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | ~ cCar(iauto) ),
    inference(subsumption_resolution,[],[f32,f22]) ).

fof(f32,plain,
    ( ~ xsd_string(sK0)
    | ~ cCar(iauto)
    | xsd_integer(sK0)
    | ~ cAutomobile(icar)
    | cowlNothing(sK1)
    | ~ cowlThing(iauto) ),
    inference(subsumption_resolution,[],[f31,f25]) ).

fof(f31,plain,
    ( ~ xsd_string(sK0)
    | ~ cCar(iauto)
    | cowlNothing(sK1)
    | ~ cAutomobile(icar)
    | ~ cowlThing(icar)
    | xsd_integer(sK0)
    | ~ cowlThing(iauto) ),
    inference(subsumption_resolution,[],[f21,f25]) ).

fof(f21,plain,
    ( ~ cAutomobile(icar)
    | ~ cowlThing(sK1)
    | ~ xsd_string(sK0)
    | ~ cowlThing(icar)
    | ~ cowlThing(iauto)
    | xsd_integer(sK0)
    | ~ cCar(iauto)
    | cowlNothing(sK1) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : KRS137+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n025.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 00:43:44 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (32050)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.48  % (32066)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.48  % (32050)Instruction limit reached!
% 0.19/0.48  % (32050)------------------------------
% 0.19/0.48  % (32050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (32050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (32050)Termination reason: Unknown
% 0.19/0.48  % (32050)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (32050)Memory used [KB]: 5373
% 0.19/0.48  % (32050)Time elapsed: 0.077 s
% 0.19/0.48  % (32050)Instructions burned: 2 (million)
% 0.19/0.48  % (32050)------------------------------
% 0.19/0.48  % (32050)------------------------------
% 0.19/0.48  % (32066)First to succeed.
% 0.19/0.48  % (32066)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (32066)------------------------------
% 0.19/0.48  % (32066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (32066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (32066)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (32066)Memory used [KB]: 5373
% 0.19/0.48  % (32066)Time elapsed: 0.079 s
% 0.19/0.48  % (32066)Instructions burned: 2 (million)
% 0.19/0.48  % (32066)------------------------------
% 0.19/0.48  % (32066)------------------------------
% 0.19/0.48  % (32041)Success in time 0.133 s
%------------------------------------------------------------------------------