TSTP Solution File: HEN009-5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN009-5 : 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 : n026.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 06:11:56 EDT 2024

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1039,plain,
    $false,
    inference(unit_resulting_resolution,[],[f102,f178,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( divide(X0,X1) != zero
      | zero = divide(divide(X2,X1),divide(X2,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide2) ).

fof(f178,plain,
    zero != divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),
    inference(unit_resulting_resolution,[],[f9,f102,f4]) ).

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(f9,axiom,
    divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f102,plain,
    ! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),X1),
    inference(unit_resulting_resolution,[],[f85,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( zero != divide(divide(X0,X1),X2)
      | zero = divide(divide(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).

fof(f85,plain,
    ! [X0] : zero = divide(X0,X0),
    inference(forward_demodulation,[],[f68,f46]) ).

fof(f46,plain,
    ! [X0,X1] : zero = divide(divide(X0,X0),X1),
    inference(unit_resulting_resolution,[],[f1,f7]) ).

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

fof(f68,plain,
    ! [X0,X1] : divide(X0,X0) = divide(divide(X0,X0),X1),
    inference(unit_resulting_resolution,[],[f1,f46,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n026.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   : Fri May  3 13:08:21 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (9237)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (9242)WARNING: value z3 for option sas not known
% 0.15/0.38  % (9240)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (9241)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (9242)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)
% 0.15/0.38  % (9243)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (9244)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)
% 0.15/0.38  % (9246)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  % (9245)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)
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.22/0.40  % (9246)First to succeed.
% 0.22/0.40  % (9246)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9237"
% 0.22/0.41  % (9246)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41  % (9246)------------------------------
% 0.22/0.41  % (9246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41  % (9246)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (9246)Memory used [KB]: 942
% 0.22/0.41  % (9246)Time elapsed: 0.025 s
% 0.22/0.41  % (9246)Instructions burned: 45 (million)
% 0.22/0.41  % (9237)Success in time 0.041 s
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