TSTP Solution File: HEN005-5 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HEN005-5 : 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_sat --cores 0 -t %d %s

% Computer : n004.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 16:24:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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(f221,plain,
    $false,
    inference(subsumption_resolution,[],[f220,f3]) ).

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

fof(f220,plain,
    zero != divide(zero,divide(a,c)),
    inference(subsumption_resolution,[],[f218,f8]) ).

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

fof(f218,plain,
    ( zero = divide(a,c)
    | zero != divide(zero,divide(a,c)) ),
    inference(trivial_inequality_removal,[],[f214]) ).

fof(f214,plain,
    ( zero = divide(a,c)
    | zero != divide(zero,divide(a,c))
    | zero != zero ),
    inference(superposition,[],[f4,f197]) ).

fof(f197,plain,
    zero = divide(divide(a,c),zero),
    inference(trivial_inequality_removal,[],[f189]) ).

fof(f189,plain,
    ( zero != zero
    | zero = divide(divide(a,c),zero) ),
    inference(superposition,[],[f24,f169]) ).

fof(f169,plain,
    zero = divide(divide(divide(a,c),zero),zero),
    inference(superposition,[],[f124,f7]) ).

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

fof(f124,plain,
    ! [X11] : zero = divide(divide(divide(a,X11),divide(b,X11)),zero),
    inference(forward_demodulation,[],[f102,f3]) ).

fof(f102,plain,
    ! [X11] : zero = divide(divide(divide(a,X11),divide(b,X11)),divide(zero,X11)),
    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(f24,plain,
    ! [X3] :
      ( zero != divide(X3,zero)
      | zero = X3 ),
    inference(trivial_inequality_removal,[],[f16]) ).

fof(f16,plain,
    ! [X3] :
      ( zero != divide(X3,zero)
      | zero = X3
      | zero != zero ),
    inference(superposition,[],[f4,f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HEN005-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.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 22:54:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  % (27627)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48  % (27627)Instruction limit reached!
% 0.20/0.48  % (27627)------------------------------
% 0.20/0.48  % (27627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (27627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (27627)Termination reason: Unknown
% 0.20/0.48  % (27627)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (27627)Memory used [KB]: 5373
% 0.20/0.48  % (27627)Time elapsed: 0.067 s
% 0.20/0.48  % (27627)Instructions burned: 2 (million)
% 0.20/0.48  % (27627)------------------------------
% 0.20/0.48  % (27627)------------------------------
% 0.20/0.48  % (27635)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (27635)First to succeed.
% 0.20/0.49  % (27635)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (27635)------------------------------
% 0.20/0.49  % (27635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (27635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (27635)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (27635)Memory used [KB]: 5500
% 0.20/0.49  % (27635)Time elapsed: 0.075 s
% 0.20/0.49  % (27635)Instructions burned: 10 (million)
% 0.20/0.49  % (27635)------------------------------
% 0.20/0.49  % (27635)------------------------------
% 0.20/0.49  % (27618)Success in time 0.139 s
%------------------------------------------------------------------------------