%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN005-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 06:11:52 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f128,plain,
    $false,
    inference(subsumption_resolution,[],[f127,f8]) ).

fof(f8,axiom,
    zero != divide(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_divide_to_zero) ).

fof(f127,plain,
    zero = divide(a,c),
    inference(trivial_inequality_removal,[],[f120]) ).

fof(f120,plain,
    ( zero != zero
    | zero = divide(a,c) ),
    inference(superposition,[],[f21,f112]) ).

fof(f112,plain,
    zero = divide(divide(a,c),zero),
    inference(trivial_inequality_removal,[],[f105]) ).

fof(f105,plain,
    ( zero != zero
    | zero = divide(divide(a,c),zero) ),
    inference(superposition,[],[f21,f89]) ).

fof(f89,plain,
    zero = divide(divide(divide(a,c),zero),zero),
    inference(superposition,[],[f79,f7]) ).

fof(f7,axiom,
    zero = divide(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_divide_c_is_zero) ).

fof(f79,plain,
    ! [X0] : zero = divide(divide(divide(a,X0),divide(b,X0)),zero),
    inference(forward_demodulation,[],[f59,f3]) ).

fof(f3,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f59,plain,
    ! [X0] : zero = divide(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
    inference(superposition,[],[f2,f6]) ).

fof(f6,axiom,
    zero = divide(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).

fof(f2,axiom,
    ! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).

fof(f21,plain,
    ! [X0] :
      ( zero != divide(X0,zero)
      | zero = X0 ),
    inference(trivial_inequality_removal,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( zero != zero
      | zero = X0
      | zero != divide(X0,zero) ),
    inference(superposition,[],[f4,f3]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( zero != divide(X1,X0)
      | X0 = X1
      | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HEN005-5 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 13:03:58 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (23239)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (23242)WARNING: value z3 for option sas not known
% 0.14/0.36  % (23242)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  % (23242)First to succeed.
% 0.14/0.36  % (23242)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23239"
% 0.14/0.36  % (23242)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (23242)------------------------------
% 0.14/0.36  % (23242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (23242)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (23242)Memory used [KB]: 857
% 0.14/0.36  % (23242)Time elapsed: 0.005 s
% 0.14/0.36  % (23242)Instructions burned: 8 (million)
% 0.14/0.36  % (23239)Success in time 0.006 s
%------------------------------------------------------------------------------