TSTP Solution File: HEN011-4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN011-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 : Mon May 20 21:34:54 EDT 2024

% Result   : Unsatisfiable 200.55s 28.97s
% Output   : Refutation 200.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f828102,plain,
    $false,
    inference(unit_resulting_resolution,[],[f18,f4665,f4665,f6]) ).

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

fof(f4665,plain,
    ! [X0,X1] : less_equal(divide(divide(identity,X0),divide(identity,X1)),divide(X1,divide(identity,divide(identity,X0)))),
    inference(superposition,[],[f4207,f16]) ).

fof(f16,axiom,
    ! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).

fof(f4207,plain,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X0,X2)),divide(X2,X1)),
    inference(unit_resulting_resolution,[],[f3904,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( ~ less_equal(divide(X0,X1),X2)
      | less_equal(divide(X0,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).

fof(f3904,plain,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(X0,X2)),
    inference(unit_resulting_resolution,[],[f3,f4,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X2)
      | less_equal(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).

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

fof(f18,axiom,
    divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : HEN011-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.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   : Sun May 19 22:52:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (1030)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (1042)WARNING: value z3 for option sas not known
% 0.20/0.37  % (1032)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37  % (1035)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37  % (1046)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)
% 0.20/0.37  % (1043)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37  % (1042)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)
% 0.20/0.37  % (1047)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)
% 0.20/0.37  % (1048)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)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [3]
% 0.20/0.39  TRYING [5]
% 0.20/0.41  TRYING [4]
% 0.20/0.44  TRYING [6]
% 0.20/0.47  TRYING [5]
% 0.20/0.51  TRYING [7]
% 1.59/0.57  TRYING [6]
% 2.29/0.67  TRYING [8]
% 3.05/0.78  TRYING [7]
% 3.66/0.90  TRYING [9]
% 6.40/1.26  TRYING [8]
% 6.90/1.33  TRYING [10]
% 7.82/1.47  TRYING [1]
% 7.82/1.47  TRYING [2]
% 7.82/1.47  TRYING [3]
% 7.82/1.47  TRYING [4]
% 7.99/1.49  TRYING [5]
% 8.34/1.53  TRYING [6]
% 8.48/1.63  TRYING [7]
% 10.50/1.84  TRYING [8]
% 12.42/2.14  TRYING [9]
% 13.36/2.27  TRYING [9]
% 13.81/2.31  TRYING [11]
% 19.00/3.07  TRYING [10]
% 24.70/3.87  TRYING [10]
% 26.19/4.07  TRYING [12]
% 27.54/4.28  TRYING [11]
% 41.91/6.31  TRYING [12]
% 47.04/7.04  TRYING [11]
% 49.76/7.43  TRYING [13]
% 81.95/12.02  TRYING [13]
% 87.10/12.79  TRYING [12]
% 87.55/12.86  TRYING [14]
% 148.52/21.55  TRYING [14]
% 159.65/23.13  TRYING [15]
% 165.20/23.92  TRYING [13]
% 200.55/28.95  % (1048)First to succeed.
% 200.55/28.96  % (1048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1030"
% 200.55/28.97  % (1048)Refutation found. Thanks to Tanya!
% 200.55/28.97  % SZS status Unsatisfiable for theBenchmark
% 200.55/28.97  % SZS output start Proof for theBenchmark
% See solution above
% 200.55/28.97  % (1048)------------------------------
% 200.55/28.97  % (1048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 200.55/28.97  % (1048)Termination reason: Refutation
% 200.55/28.97  
% 200.55/28.97  % (1048)Memory used [KB]: 112889
% 200.55/28.97  % (1048)Time elapsed: 28.589 s
% 200.55/28.97  % (1048)Instructions burned: 86731 (million)
% 200.55/28.97  % (1030)Success in time 28.431 s
%------------------------------------------------------------------------------