TSTP Solution File: GEO036-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO036-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 20:13:42 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   17 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   6   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(resolution,[],[f74,f47]) ).

fof(f47,axiom,
    ! [X3,X10] : between(X10,X10,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).

fof(f74,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3),
    inference(backward_demodulation,[],[f10,f73]) ).

fof(f73,plain,
    lower_dimension_point_1 = lower_dimension_point_2,
    inference(resolution,[],[f70,f47]) ).

fof(f70,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
    | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[],[f12,f69]) ).

fof(f69,plain,
    ( lower_dimension_point_1 = lower_dimension_point_3
    | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(resolution,[],[f65,f47]) ).

fof(f65,plain,
    ( ~ between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)
    | lower_dimension_point_1 = lower_dimension_point_3
    | lower_dimension_point_1 = lower_dimension_point_2 ),
    inference(superposition,[],[f11,f58]) ).

fof(f58,axiom,
    ( lower_dimension_point_2 = lower_dimension_point_3
    | lower_dimension_point_1 = lower_dimension_point_3
    | lower_dimension_point_1 = lower_dimension_point_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).

fof(f11,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).

fof(f12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).

fof(f10,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GEO036-3 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun May 19 14:08:37 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (17119)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33  % (17122)WARNING: value z3 for option sas not known
% 0.11/0.33  % (17125)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)
% 0.11/0.33  % (17123)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33  % (17120)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33  % (17121)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.33  % (17124)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)
% 0.11/0.34  TRYING [1]
% 0.11/0.34  % (17125)First to succeed.
% 0.11/0.34  TRYING [2]
% 0.11/0.34  % (17125)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17119"
% 0.11/0.34  % (17125)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34  % (17125)------------------------------
% 0.11/0.34  % (17125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34  % (17125)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (17125)Memory used [KB]: 821
% 0.11/0.34  % (17125)Time elapsed: 0.004 s
% 0.11/0.34  % (17125)Instructions burned: 6 (million)
% 0.11/0.34  % (17119)Success in time 0.015 s
%------------------------------------------------------------------------------