TSTP Solution File: GEO006-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO006-3 : 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 : n009.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 11:11:23 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   28 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  12   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f199,plain,
    $false,
    inference(trivial_inequality_removal,[],[f198]) ).

fof(f198,plain,
    a != a,
    inference(superposition,[],[f50,f193]) ).

fof(f193,plain,
    a = c,
    inference(trivial_inequality_removal,[],[f191]) ).

fof(f191,plain,
    ( c != c
    | a = c ),
    inference(superposition,[],[f52,f185]) ).

fof(f185,plain,
    ( c = d
    | a = c ),
    inference(resolution,[],[f184,f53]) ).

fof(f53,axiom,
    between(a,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).

fof(f184,plain,
    ( ~ between(a,c,d)
    | c = d
    | a = c ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ( ~ between(a,c,d)
    | c = d
    | a = c
    | ~ between(a,c,d) ),
    inference(resolution,[],[f49,f137]) ).

fof(f137,plain,
    ( between(a,d,c)
    | a = c
    | ~ between(a,c,d) ),
    inference(resolution,[],[f48,f54]) ).

fof(f54,axiom,
    ( between(c,a,d)
    | between(a,d,c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).

fof(f48,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X3,X10,X5)
      | X3 = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).

fof(f49,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X5,X3)
      | ~ between(X10,X3,X5)
      | X3 = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).

fof(f52,axiom,
    c != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).

fof(f50,axiom,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 05:44:41 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (15262)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (15266)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  Detected minimum model sizes of [3]
% 0.13/0.36  Detected maximum model sizes of [max]
% 0.13/0.36  TRYING [3]
% 0.13/0.36  % (15265)WARNING: value z3 for option sas not known
% 0.13/0.36  % (15263)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (15264)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (15265)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)
% 0.13/0.36  % (15267)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)
% 0.13/0.36  % (15268)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)
% 0.13/0.36  % (15269)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)
% 0.13/0.37  % (15268)First to succeed.
% 0.13/0.37  % (15268)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (15268)------------------------------
% 0.13/0.37  % (15268)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (15268)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (15268)Memory used [KB]: 895
% 0.13/0.37  % (15268)Time elapsed: 0.007 s
% 0.13/0.37  % (15268)Instructions burned: 9 (million)
% 0.13/0.37  % (15268)------------------------------
% 0.13/0.37  % (15268)------------------------------
% 0.13/0.37  % (15262)Success in time 0.025 s
%------------------------------------------------------------------------------