TSTP Solution File: PUZ130+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% 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 18:12:09 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   52 (  24 unt;   0 def)
%            Number of atoms       :  119 (  17 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  122 (  55   ~;  49   |;   6   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f176,plain,
    $false,
    inference(subsumption_resolution,[],[f175,f76]) ).

fof(f76,plain,
    cat(garfield),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    cat(garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',garfield_type) ).

fof(f175,plain,
    ~ cat(garfield),
    inference(subsumption_resolution,[],[f174,f154]) ).

fof(f154,plain,
    ~ hates(owner_of(garfield),owner_of(garfield)),
    inference(backward_demodulation,[],[f126,f146]) ).

fof(f146,plain,
    owner_of(garfield) = owner_of(odie),
    inference(subsumption_resolution,[],[f143,f123]) ).

fof(f123,plain,
    human(owner_of(odie)),
    inference(backward_demodulation,[],[f72,f120]) ).

fof(f120,plain,
    jon = owner_of(odie),
    inference(subsumption_resolution,[],[f117,f72]) ).

fof(f117,plain,
    ( ~ human(jon)
    | jon = owner_of(odie) ),
    inference(resolution,[],[f110,f59]) ).

fof(f59,plain,
    owner(jon,odie),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_o_owner_axiom) ).

fof(f110,plain,
    ! [X1] :
      ( ~ owner(X1,odie)
      | ~ human(X1)
      | owner_of(odie) = X1 ),
    inference(resolution,[],[f105,f69]) ).

fof(f69,plain,
    dog(odie),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    dog(odie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_type) ).

fof(f105,plain,
    ! [X2,X1] :
      ( ~ dog(X2)
      | owner_of(X2) = X1
      | ~ human(X1)
      | ~ owner(X1,X2) ),
    inference(resolution,[],[f65,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( pet(X0)
      | ~ dog(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( pet(X0)
      | ~ dog(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( dog(X0)
     => pet(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog_pet_type) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ pet(X0)
      | ~ human(X1)
      | owner_of(X0) = X1
      | ~ owner(X1,X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ pet(X0)
      | ( ( owner_of(X0) = X1
          | ~ owner(X1,X0) )
        & ( owner(X1,X0)
          | owner_of(X0) != X1 ) )
      | ~ human(X1) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( ~ pet(X1)
      | ( ( owner_of(X1) = X0
          | ~ owner(X0,X1) )
        & ( owner(X0,X1)
          | owner_of(X1) != X0 ) )
      | ~ human(X0) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X1,X0] :
      ( ~ pet(X1)
      | ( owner_of(X1) = X0
      <=> owner(X0,X1) )
      | ~ human(X0) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( owner_of(X1) = X0
      <=> owner(X0,X1) )
      | ~ human(X0)
      | ~ pet(X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( human(X0)
        & pet(X1) )
     => ( owner_of(X1) = X0
      <=> owner(X0,X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X2] :
      ( ( human(X1)
        & pet(X2) )
     => ( owner(X1,X2)
      <=> owner_of(X2) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owner_def) ).

fof(f72,plain,
    human(jon),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    human(jon),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_type) ).

fof(f143,plain,
    ( owner_of(garfield) = owner_of(odie)
    | ~ human(owner_of(odie)) ),
    inference(resolution,[],[f113,f124]) ).

fof(f124,plain,
    owner(owner_of(odie),garfield),
    inference(backward_demodulation,[],[f70,f120]) ).

fof(f70,plain,
    owner(jon,garfield),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_g_owner_axiom) ).

fof(f113,plain,
    ! [X1] :
      ( ~ owner(X1,garfield)
      | ~ human(X1)
      | owner_of(garfield) = X1 ),
    inference(resolution,[],[f106,f76]) ).

fof(f106,plain,
    ! [X3,X4] :
      ( ~ cat(X4)
      | owner_of(X4) = X3
      | ~ human(X3)
      | ~ owner(X3,X4) ),
    inference(resolution,[],[f65,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( pet(X0)
      | ~ cat(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ cat(X0)
      | pet(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cat(X0)
     => pet(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cat_pet_type) ).

fof(f126,plain,
    ~ hates(owner_of(odie),owner_of(odie)),
    inference(backward_demodulation,[],[f63,f120]) ).

fof(f63,plain,
    ~ hates(jon,jon),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ~ hates(jon,jon),
    inference(flattening,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ hates(jon,jon),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_conjecture) ).

fof(f174,plain,
    ( hates(owner_of(garfield),owner_of(garfield))
    | ~ cat(garfield) ),
    inference(resolution,[],[f173,f71]) ).

fof(f71,plain,
    chased(odie,garfield),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chase_axiom) ).

fof(f173,plain,
    ! [X0] :
      ( ~ chased(odie,X0)
      | ~ cat(X0)
      | hates(owner_of(X0),owner_of(garfield)) ),
    inference(subsumption_resolution,[],[f171,f69]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ chased(odie,X0)
      | ~ dog(odie)
      | hates(owner_of(X0),owner_of(garfield))
      | ~ cat(X0) ),
    inference(superposition,[],[f67,f146]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ cat(X0)
      | ~ chased(X1,X0)
      | ~ dog(X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ dog(X1)
      | ~ cat(X0)
      | ~ chased(X1,X0)
      | hates(owner_of(X0),owner_of(X1)) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] :
      ( ~ dog(X0)
      | ~ cat(X1)
      | ~ chased(X0,X1)
      | hates(owner_of(X1),owner_of(X0)) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( hates(owner_of(X1),owner_of(X0))
      | ~ chased(X0,X1)
      | ~ cat(X1)
      | ~ dog(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( cat(X1)
        & dog(X0) )
     => ( chased(X0,X1)
       => hates(owner_of(X1),owner_of(X0)) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X2,X1] :
      ( ( cat(X1)
        & dog(X2) )
     => ( chased(X2,X1)
       => hates(owner_of(X1),owner_of(X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cat_chase_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n016.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 11:24:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (30170)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (30170)Instruction limit reached!
% 0.20/0.49  % (30170)------------------------------
% 0.20/0.49  % (30170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (30186)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)
% 0.20/0.50  % (30163)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)
% 0.20/0.50  % (30178)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)
% 0.20/0.50  % (30186)First to succeed.
% 0.20/0.50  % (30170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (30170)Termination reason: Unknown
% 0.20/0.50  % (30170)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (30170)Memory used [KB]: 5500
% 0.20/0.50  % (30170)Time elapsed: 0.092 s
% 0.20/0.50  % (30170)Instructions burned: 7 (million)
% 0.20/0.50  % (30170)------------------------------
% 0.20/0.50  % (30170)------------------------------
% 0.20/0.51  % (30178)Also succeeded, but the first one will report.
% 0.20/0.51  % (30186)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (30186)------------------------------
% 0.20/0.51  % (30186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (30186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (30186)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (30186)Memory used [KB]: 5500
% 0.20/0.51  % (30186)Time elapsed: 0.111 s
% 0.20/0.51  % (30186)Instructions burned: 4 (million)
% 0.20/0.51  % (30186)------------------------------
% 0.20/0.51  % (30186)------------------------------
% 0.20/0.51  % (30162)Success in time 0.157 s
%------------------------------------------------------------------------------