TSTP Solution File: HEN003-5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN003-5 : 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 : 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 : Tue Apr 30 12:10:00 EDT 2024

% Result   : Unsatisfiable 0.15s 0.34s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f160,plain,
    $false,
    inference(trivial_inequality_removal,[],[f159]) ).

fof(f159,plain,
    zero != zero,
    inference(superposition,[],[f6,f140]) ).

fof(f140,plain,
    ! [X0] : zero = divide(X0,X0),
    inference(trivial_inequality_removal,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( zero != zero
      | zero = divide(X0,X0) ),
    inference(superposition,[],[f15,f118]) ).

fof(f118,plain,
    ! [X0] : zero = divide(divide(X0,X0),zero),
    inference(trivial_inequality_removal,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( zero != zero
      | zero = divide(divide(X0,X0),zero) ),
    inference(superposition,[],[f15,f59]) ).

fof(f59,plain,
    ! [X0] : zero = divide(divide(divide(X0,X0),zero),zero),
    inference(superposition,[],[f38,f3]) ).

fof(f3,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f38,plain,
    ! [X0,X1] : zero = divide(divide(divide(X0,X0),divide(X1,X0)),zero),
    inference(superposition,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : divide(divide(X0,X1),X0) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).

fof(f2,axiom,
    ! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).

fof(f15,plain,
    ! [X0] :
      ( zero != divide(X0,zero)
      | zero = X0 ),
    inference(trivial_inequality_removal,[],[f10]) ).

fof(f10,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/sandbox2/benchmark/theBenchmark.p',divide_and_equal) ).

fof(f6,axiom,
    zero != divide(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : HEN003-5 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32  % Computer : n024.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Apr 29 22:03:06 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (26491)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.34  % (26494)WARNING: value z3 for option sas not known
% 0.15/0.34  % (26494)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)
% 0.15/0.34  % (26496)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.34  % (26497)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)
% 0.15/0.34  % (26495)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.34  % (26498)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  % (26497)First to succeed.
% 0.15/0.34  % (26498)Also succeeded, but the first one will report.
% 0.15/0.34  TRYING [4]
% 0.15/0.34  % (26497)Refutation found. Thanks to Tanya!
% 0.15/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34  % (26497)------------------------------
% 0.15/0.34  % (26497)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34  % (26497)Termination reason: Refutation
% 0.15/0.34  
% 0.15/0.34  % (26497)Memory used [KB]: 867
% 0.15/0.34  % (26497)Time elapsed: 0.005 s
% 0.15/0.34  % (26497)Instructions burned: 9 (million)
% 0.15/0.34  % (26497)------------------------------
% 0.15/0.34  % (26497)------------------------------
% 0.15/0.34  % (26491)Success in time 0.02 s
%------------------------------------------------------------------------------