TSTP Solution File: GRP163-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP163-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 : Tue Apr 30 11:51:57 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f223,plain,
    $false,
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f217,plain,
    a != a,
    inference(superposition,[],[f18,f212]) ).

fof(f212,plain,
    a = greatest_lower_bound(a,c),
    inference(forward_demodulation,[],[f202,f16]) ).

fof(f16,axiom,
    a = greatest_lower_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_transb_1) ).

fof(f202,plain,
    greatest_lower_bound(a,b) = greatest_lower_bound(a,c),
    inference(superposition,[],[f176,f17]) ).

fof(f17,axiom,
    b = greatest_lower_bound(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_transb_2) ).

fof(f176,plain,
    ! [X0] : greatest_lower_bound(a,greatest_lower_bound(b,X0)) = greatest_lower_bound(a,X0),
    inference(superposition,[],[f6,f16]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f18,axiom,
    a != greatest_lower_bound(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_transb) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP163-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 04:34:59 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (5237)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (5243)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38  % (5243)First to succeed.
% 0.21/0.38  % (5240)WARNING: value z3 for option sas not known
% 0.21/0.38  % (5243)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (5243)------------------------------
% 0.21/0.38  % (5243)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38  % (5243)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (5243)Memory used [KB]: 873
% 0.21/0.38  % (5243)Time elapsed: 0.006 s
% 0.21/0.38  % (5243)Instructions burned: 14 (million)
% 0.21/0.38  % (5243)------------------------------
% 0.21/0.38  % (5243)------------------------------
% 0.21/0.38  % (5237)Success in time 0.016 s
%------------------------------------------------------------------------------