TSTP Solution File: FLD058-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD058-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n027.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 16:06:56 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  18   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f177,plain,
    $false,
    inference(avatar_sat_refutation,[],[f141,f176]) ).

fof(f176,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f175]) ).

fof(f175,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f171,f32]) ).

fof(f32,axiom,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).

fof(f171,plain,
    ( equalish(a,additive_identity)
    | ~ spl0_1 ),
    inference(resolution,[],[f147,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ equalish(X0,b)
      | equalish(X0,additive_identity) ),
    inference(resolution,[],[f23,f33]) ).

fof(f33,axiom,
    equalish(b,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_additive_identity_6) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | equalish(X0,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).

fof(f147,plain,
    ( equalish(a,b)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f146,f31]) ).

fof(f31,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f146,plain,
    ( equalish(a,b)
    | ~ less_or_equal(a,b)
    | ~ spl0_1 ),
    inference(resolution,[],[f44,f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ~ less_or_equal(X1,X0)
      | ~ less_or_equal(X0,X1)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).

fof(f44,plain,
    ( less_or_equal(b,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_1
  <=> less_or_equal(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f141,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f140,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f138,f45]) ).

fof(f45,plain,
    ( ~ less_or_equal(b,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f138,plain,
    less_or_equal(b,a),
    inference(resolution,[],[f59,f30]) ).

fof(f30,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f59,plain,
    ! [X1] :
      ( ~ less_or_equal(additive_identity,X1)
      | less_or_equal(b,X1) ),
    inference(resolution,[],[f26,f38]) ).

fof(f38,plain,
    equalish(additive_identity,b),
    inference(resolution,[],[f22,f33]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ equalish(X1,X0)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f26,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | less_or_equal(X1,X2)
      | ~ less_or_equal(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : FLD058-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % 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 : n027.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   : Mon Aug 29 20:57:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (10225)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (10230)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (10236)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)
% 0.19/0.51  % (10225)First to succeed.
% 0.19/0.51  % (10221)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)
% 0.19/0.51  % (10225)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (10225)------------------------------
% 0.19/0.51  % (10225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (10225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (10225)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (10225)Memory used [KB]: 5500
% 0.19/0.51  % (10225)Time elapsed: 0.104 s
% 0.19/0.51  % (10225)Instructions burned: 5 (million)
% 0.19/0.51  % (10225)------------------------------
% 0.19/0.51  % (10225)------------------------------
% 0.19/0.51  % (10218)Success in time 0.162 s
%------------------------------------------------------------------------------