TSTP Solution File: NLP001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NLP001-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n008.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 17:54:49 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   65 (  11 unt;   0 def)
%            Number of atoms       :  354 (   0 equ)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  583 ( 294   ~; 289   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f66,f59]) ).

fof(f59,plain,
    ssSkC0,
    inference(subsumption_resolution,[],[f58,f12]) ).

fof(f12,axiom,
    ( dirty(skc12)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f58,plain,
    ( ~ dirty(skc12)
    | ssSkC0 ),
    inference(subsumption_resolution,[],[f57,f9]) ).

fof(f9,axiom,
    ( chevy(skc12)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f57,plain,
    ( ssSkC0
    | ~ chevy(skc12)
    | ~ dirty(skc12) ),
    inference(subsumption_resolution,[],[f56,f10]) ).

fof(f10,axiom,
    ( car(skc12)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f56,plain,
    ( ssSkC0
    | ~ car(skc12)
    | ~ chevy(skc12)
    | ~ dirty(skc12) ),
    inference(subsumption_resolution,[],[f55,f11]) ).

fof(f11,axiom,
    ( white(skc12)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f55,plain,
    ( ~ white(skc12)
    | ~ dirty(skc12)
    | ~ chevy(skc12)
    | ssSkC0
    | ~ car(skc12) ),
    inference(subsumption_resolution,[],[f54,f4]) ).

fof(f4,axiom,
    old(skc12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f54,plain,
    ( ~ old(skc12)
    | ~ chevy(skc12)
    | ~ white(skc12)
    | ssSkC0
    | ~ dirty(skc12)
    | ~ car(skc12) ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f53,plain,
    ( ~ car(skc12)
    | ~ dirty(skc12)
    | ssSkC0
    | ssSkC0
    | ~ old(skc12)
    | ~ chevy(skc12)
    | ~ white(skc12) ),
    inference(resolution,[],[f42,f23]) ).

fof(f23,axiom,
    ( barrel(skc14,skc12)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f42,plain,
    ! [X0] :
      ( ~ barrel(skc14,X0)
      | ~ car(X0)
      | ~ white(X0)
      | ~ chevy(X0)
      | ~ old(X0)
      | ssSkC0
      | ~ dirty(X0) ),
    inference(subsumption_resolution,[],[f41,f14]) ).

fof(f14,axiom,
    ( way(skc13)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f41,plain,
    ! [X0] :
      ( ssSkC0
      | ~ old(X0)
      | ~ white(X0)
      | ~ chevy(X0)
      | ~ barrel(skc14,X0)
      | ~ dirty(X0)
      | ~ way(skc13)
      | ~ car(X0) ),
    inference(subsumption_resolution,[],[f40,f13]) ).

fof(f13,axiom,
    ( lonely(skc13)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f40,plain,
    ! [X0] :
      ( ~ dirty(X0)
      | ~ chevy(X0)
      | ssSkC0
      | ~ barrel(skc14,X0)
      | ~ lonely(skc13)
      | ~ white(X0)
      | ~ way(skc13)
      | ~ car(X0)
      | ~ old(X0) ),
    inference(subsumption_resolution,[],[f39,f3]) ).

fof(f3,axiom,
    street(skc13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f39,plain,
    ! [X0] :
      ( ssSkC0
      | ~ white(X0)
      | ~ street(skc13)
      | ~ car(X0)
      | ~ way(skc13)
      | ~ old(X0)
      | ~ barrel(skc14,X0)
      | ~ chevy(X0)
      | ~ dirty(X0)
      | ~ lonely(skc13) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ dirty(X0)
      | ~ chevy(X0)
      | ~ car(X0)
      | ~ white(X0)
      | ~ lonely(skc13)
      | ssSkC0
      | ~ street(skc13)
      | ssSkC0
      | ~ barrel(skc14,X0)
      | ~ old(X0)
      | ~ way(skc13) ),
    inference(resolution,[],[f36,f24]) ).

fof(f24,axiom,
    ( down(skc14,skc13)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ down(skc14,X1)
      | ~ dirty(X0)
      | ~ lonely(X1)
      | ~ way(X1)
      | ssSkC0
      | ~ street(X1)
      | ~ car(X0)
      | ~ white(X0)
      | ~ chevy(X0)
      | ~ barrel(skc14,X0)
      | ~ old(X0) ),
    inference(subsumption_resolution,[],[f35,f15]) ).

fof(f15,axiom,
    ( city(skc15)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ old(X0)
      | ~ car(X0)
      | ~ city(skc15)
      | ~ lonely(X1)
      | ssSkC0
      | ~ street(X1)
      | ~ barrel(skc14,X0)
      | ~ chevy(X0)
      | ~ white(X0)
      | ~ way(X1)
      | ~ dirty(X0)
      | ~ down(skc14,X1) ),
    inference(subsumption_resolution,[],[f34,f2]) ).

fof(f2,axiom,
    event(skc14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ chevy(X0)
      | ~ down(skc14,X1)
      | ~ car(X0)
      | ~ street(X1)
      | ~ dirty(X0)
      | ~ way(X1)
      | ~ lonely(X1)
      | ~ city(skc15)
      | ~ white(X0)
      | ~ old(X0)
      | ~ barrel(skc14,X0)
      | ssSkC0
      | ~ event(skc14) ),
    inference(subsumption_resolution,[],[f33,f1]) ).

fof(f1,axiom,
    hollywood(skc15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ down(skc14,X1)
      | ~ street(X1)
      | ~ hollywood(skc15)
      | ~ barrel(skc14,X0)
      | ~ white(X0)
      | ~ event(skc14)
      | ~ car(X0)
      | ~ dirty(X0)
      | ~ chevy(X0)
      | ~ city(skc15)
      | ~ lonely(X1)
      | ~ way(X1)
      | ~ old(X0)
      | ssSkC0 ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ hollywood(skc15)
      | ~ street(X1)
      | ~ car(X0)
      | ~ barrel(skc14,X0)
      | ~ event(skc14)
      | ~ down(skc14,X1)
      | ssSkC0
      | ~ way(X1)
      | ~ dirty(X0)
      | ~ old(X0)
      | ~ city(skc15)
      | ~ lonely(X1)
      | ~ white(X0)
      | ssSkC0
      | ~ chevy(X0) ),
    inference(resolution,[],[f29,f25]) ).

fof(f25,axiom,
    ( in(skc14,skc15)
    | ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f29,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ in(X2,X3)
      | ~ hollywood(X3)
      | ~ barrel(X2,X1)
      | ~ white(X1)
      | ~ lonely(X0)
      | ~ car(X1)
      | ssSkC0
      | ~ dirty(X1)
      | ~ city(X3)
      | ~ chevy(X1)
      | ~ way(X0)
      | ~ street(X0)
      | ~ old(X1)
      | ~ down(X2,X0)
      | ~ event(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f66,plain,
    ~ ssSkC0,
    inference(subsumption_resolution,[],[f65,f20]) ).

fof(f20,axiom,
    ( white(skc9)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f65,plain,
    ( ~ white(skc9)
    | ~ ssSkC0 ),
    inference(subsumption_resolution,[],[f64,f18]) ).

fof(f18,axiom,
    ( old(skc9)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f64,plain,
    ( ~ old(skc9)
    | ~ ssSkC0
    | ~ white(skc9) ),
    inference(subsumption_resolution,[],[f63,f21]) ).

fof(f21,axiom,
    ( car(skc9)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f63,plain,
    ( ~ car(skc9)
    | ~ ssSkC0
    | ~ white(skc9)
    | ~ old(skc9) ),
    inference(subsumption_resolution,[],[f62,f19]) ).

fof(f19,axiom,
    ( dirty(skc9)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f62,plain,
    ( ~ ssSkC0
    | ~ dirty(skc9)
    | ~ car(skc9)
    | ~ white(skc9)
    | ~ old(skc9) ),
    inference(subsumption_resolution,[],[f61,f7]) ).

fof(f7,axiom,
    chevy(skc9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f61,plain,
    ( ~ car(skc9)
    | ~ ssSkC0
    | ~ chevy(skc9)
    | ~ dirty(skc9)
    | ~ white(skc9)
    | ~ old(skc9) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f60,plain,
    ( ~ old(skc9)
    | ~ ssSkC0
    | ~ chevy(skc9)
    | ~ car(skc9)
    | ~ ssSkC0
    | ~ dirty(skc9)
    | ~ white(skc9) ),
    inference(resolution,[],[f52,f26]) ).

fof(f26,axiom,
    ( barrel(skc10,skc9)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f52,plain,
    ! [X0] :
      ( ~ barrel(skc10,X0)
      | ~ old(X0)
      | ~ chevy(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ ssSkC0
      | ~ dirty(X0) ),
    inference(subsumption_resolution,[],[f51,f17]) ).

fof(f17,axiom,
    ( way(skc8)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f51,plain,
    ! [X0] :
      ( ~ chevy(X0)
      | ~ way(skc8)
      | ~ white(X0)
      | ~ old(X0)
      | ~ car(X0)
      | ~ dirty(X0)
      | ~ barrel(skc10,X0)
      | ~ ssSkC0 ),
    inference(subsumption_resolution,[],[f50,f16]) ).

fof(f16,axiom,
    ( street(skc8)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

fof(f50,plain,
    ! [X0] :
      ( ~ car(X0)
      | ~ ssSkC0
      | ~ barrel(skc10,X0)
      | ~ white(X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ street(skc8)
      | ~ way(skc8)
      | ~ chevy(X0) ),
    inference(subsumption_resolution,[],[f49,f8]) ).

fof(f8,axiom,
    lonely(skc8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f49,plain,
    ! [X0] :
      ( ~ old(X0)
      | ~ white(X0)
      | ~ street(skc8)
      | ~ ssSkC0
      | ~ lonely(skc8)
      | ~ chevy(X0)
      | ~ dirty(X0)
      | ~ barrel(skc10,X0)
      | ~ car(X0)
      | ~ way(skc8) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ chevy(X0)
      | ~ street(skc8)
      | ~ ssSkC0
      | ~ lonely(skc8)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ barrel(skc10,X0)
      | ~ car(X0)
      | ~ ssSkC0
      | ~ way(skc8)
      | ~ old(X0) ),
    inference(resolution,[],[f47,f27]) ).

fof(f27,axiom,
    ( down(skc10,skc8)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f47,plain,
    ! [X2,X3] :
      ( ~ down(skc10,X2)
      | ~ dirty(X3)
      | ~ white(X3)
      | ~ lonely(X2)
      | ~ ssSkC0
      | ~ chevy(X3)
      | ~ way(X2)
      | ~ car(X3)
      | ~ barrel(skc10,X3)
      | ~ old(X3)
      | ~ street(X2) ),
    inference(subsumption_resolution,[],[f46,f22]) ).

fof(f22,axiom,
    ( city(skc11)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f46,plain,
    ! [X2,X3] :
      ( ~ car(X3)
      | ~ old(X3)
      | ~ lonely(X2)
      | ~ down(skc10,X2)
      | ~ street(X2)
      | ~ barrel(skc10,X3)
      | ~ chevy(X3)
      | ~ white(X3)
      | ~ city(skc11)
      | ~ way(X2)
      | ~ ssSkC0
      | ~ dirty(X3) ),
    inference(subsumption_resolution,[],[f45,f6]) ).

fof(f6,axiom,
    event(skc10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f45,plain,
    ! [X2,X3] :
      ( ~ car(X3)
      | ~ old(X3)
      | ~ down(skc10,X2)
      | ~ city(skc11)
      | ~ street(X2)
      | ~ event(skc10)
      | ~ way(X2)
      | ~ barrel(skc10,X3)
      | ~ dirty(X3)
      | ~ chevy(X3)
      | ~ ssSkC0
      | ~ white(X3)
      | ~ lonely(X2) ),
    inference(subsumption_resolution,[],[f44,f5]) ).

fof(f5,axiom,
    hollywood(skc11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f44,plain,
    ! [X2,X3] :
      ( ~ car(X3)
      | ~ old(X3)
      | ~ hollywood(skc11)
      | ~ city(skc11)
      | ~ ssSkC0
      | ~ chevy(X3)
      | ~ event(skc10)
      | ~ way(X2)
      | ~ barrel(skc10,X3)
      | ~ white(X3)
      | ~ dirty(X3)
      | ~ street(X2)
      | ~ down(skc10,X2)
      | ~ lonely(X2) ),
    inference(resolution,[],[f37,f28]) ).

fof(f28,axiom,
    ( in(skc10,skc11)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X2,X3)
      | ~ hollywood(X3)
      | ~ way(X1)
      | ~ car(X0)
      | ~ old(X0)
      | ~ down(X2,X1)
      | ~ chevy(X0)
      | ~ white(X0)
      | ~ lonely(X1)
      | ~ street(X1)
      | ~ barrel(X2,X0)
      | ~ dirty(X0)
      | ~ city(X3)
      | ~ event(X2) ),
    inference(subsumption_resolution,[],[f30,f29]) ).

fof(f30,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ way(X1)
      | ~ lonely(X1)
      | ~ chevy(X0)
      | ~ down(X2,X1)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ city(X3)
      | ~ event(X2)
      | ~ street(X1)
      | ~ ssSkC0
      | ~ barrel(X2,X0)
      | ~ car(X0)
      | ~ in(X2,X3)
      | ~ white(X0)
      | ~ hollywood(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NLP001-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 03:42:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (19021)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)
% 0.18/0.49  % (19013)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)
% 0.18/0.49  % (19021)First to succeed.
% 0.18/0.49  % (19005)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)
% 0.18/0.49  Detected maximum model sizes of [8]
% 0.18/0.50  % (19013)Also succeeded, but the first one will report.
% 0.18/0.50  % (19021)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (19021)------------------------------
% 0.18/0.50  % (19021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (19021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (19021)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (19021)Memory used [KB]: 895
% 0.18/0.50  % (19021)Time elapsed: 0.055 s
% 0.18/0.50  % (19021)Instructions burned: 3 (million)
% 0.18/0.50  % (19021)------------------------------
% 0.18/0.50  % (19021)------------------------------
% 0.18/0.50  % (18998)Success in time 0.156 s
%------------------------------------------------------------------------------