%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.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 16:24:26 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   25 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f124,plain,
    $false,
    inference(resolution,[],[f120,f9]) ).

fof(f9,axiom,
    ~ less_equal(divide(a,c),divide(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).

fof(f120,plain,
    ! [X2] : less_equal(divide(a,X2),divide(b,X2)),
    inference(trivial_inequality_removal,[],[f111]) ).

fof(f111,plain,
    ! [X2] :
      ( zero != zero
      | less_equal(divide(a,X2),divide(b,X2)) ),
    inference(superposition,[],[f2,f90]) ).

fof(f90,plain,
    ! [X2] : zero = divide(divide(a,X2),divide(b,X2)),
    inference(resolution,[],[f87,f34]) ).

fof(f34,plain,
    ! [X3] :
      ( ~ less_equal(X3,zero)
      | zero = X3 ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | X0 = X1
      | ~ less_equal(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).

fof(f87,plain,
    ! [X14] : less_equal(divide(divide(a,X14),divide(b,X14)),zero),
    inference(resolution,[],[f66,f8]) ).

fof(f8,axiom,
    less_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ less_equal(X0,X1)
      | less_equal(divide(divide(X0,X2),divide(X1,X2)),zero) ),
    inference(forward_demodulation,[],[f60,f46]) ).

fof(f46,plain,
    ! [X0] : zero = divide(zero,X0),
    inference(resolution,[],[f34,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ less_equal(X0,X1)
      | less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(zero,X2)) ),
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) = zero
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 23:05:19 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.54  % (12945)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54  % (12945)First to succeed.
% 0.21/0.55  % (12947)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (12945)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (12945)------------------------------
% 0.21/0.55  % (12945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (12945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (12945)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (12945)Memory used [KB]: 5884
% 0.21/0.55  % (12945)Time elapsed: 0.104 s
% 0.21/0.55  % (12945)Instructions burned: 4 (million)
% 0.21/0.55  % (12945)------------------------------
% 0.21/0.55  % (12945)------------------------------
% 0.21/0.55  % (12939)Success in time 0.197 s
%------------------------------------------------------------------------------