TSTP Solution File: LAT031-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT031-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 07:25:41 EDT 2024

% Result   : Unsatisfiable 60.74s 9.16s
% Output   : Refutation 60.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f115726,plain,
    $false,
    inference(trivial_inequality_removal,[],[f115725]) ).

fof(f115725,plain,
    join(xx,meet(yy,zz)) != join(xx,meet(yy,zz)),
    inference(forward_demodulation,[],[f115016,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).

fof(f115016,plain,
    join(xx,meet(yy,zz)) != join(xx,meet(zz,yy)),
    inference(superposition,[],[f10,f3944]) ).

fof(f3944,plain,
    ! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,X1)),
    inference(forward_demodulation,[],[f3830,f2269]) ).

fof(f2269,plain,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X0,X2))),
    inference(superposition,[],[f223,f507]) ).

fof(f507,plain,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
    inference(superposition,[],[f9,f5]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).

fof(f223,plain,
    ! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
    inference(superposition,[],[f8,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).

fof(f8,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).

fof(f3830,plain,
    ! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,X1))),
    inference(superposition,[],[f521,f161]) ).

fof(f161,plain,
    ! [X0,X1] : meet(join(X0,X1),X0) = X0,
    inference(superposition,[],[f64,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).

fof(f64,plain,
    ! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
    inference(superposition,[],[f43,f5]) ).

fof(f43,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
    inference(superposition,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : meet(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).

fof(f7,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).

fof(f521,plain,
    ! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,X2),meet(X1,X0)),
    inference(superposition,[],[f9,f5]) ).

fof(f10,axiom,
    join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LAT031-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 12:04:40 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.34  % (12934)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35  % (12937)WARNING: value z3 for option sas not known
% 0.13/0.35  % (12936)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35  % (12940)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)
% 0.13/0.35  % (12941)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)
% 0.13/0.35  % (12937)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)
% 0.13/0.35  % (12938)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35  % (12939)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)
% 0.13/0.35  TRYING [1]
% 0.13/0.35  TRYING [2]
% 0.13/0.35  % (12935)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35  TRYING [3]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [2]
% 0.13/0.36  TRYING [4]
% 0.13/0.37  TRYING [3]
% 0.13/0.39  TRYING [5]
% 0.13/0.39  TRYING [4]
% 0.18/0.47  TRYING [6]
% 0.18/0.47  TRYING [5]
% 2.10/0.67  TRYING [7]
% 2.10/0.67  TRYING [6]
% 4.87/1.11  TRYING [8]
% 5.93/1.27  TRYING [7]
% 6.89/1.45  TRYING [1]
% 6.89/1.45  TRYING [2]
% 6.89/1.45  TRYING [3]
% 7.53/1.46  TRYING [4]
% 7.74/1.50  TRYING [5]
% 8.54/1.61  TRYING [6]
% 10.10/1.87  TRYING [9]
% 10.10/1.91  TRYING [7]
% 14.16/2.49  TRYING [8]
% 15.40/2.60  TRYING [8]
% 18.94/3.14  TRYING [10]
% 25.10/4.03  TRYING [9]
% 29.34/4.66  TRYING [11]
% 34.24/5.30  TRYING [9]
% 44.84/6.84  TRYING [10]
% 59.36/8.88  TRYING [12]
% 60.74/9.14  % (12940)First to succeed.
% 60.74/9.15  % (12940)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12934"
% 60.74/9.16  % (12940)Refutation found. Thanks to Tanya!
% 60.74/9.16  % SZS status Unsatisfiable for theBenchmark
% 60.74/9.16  % SZS output start Proof for theBenchmark
% See solution above
% 60.74/9.16  % (12940)------------------------------
% 60.74/9.16  % (12940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 60.74/9.16  % (12940)Termination reason: Refutation
% 60.74/9.16  
% 60.74/9.16  % (12940)Memory used [KB]: 85308
% 60.74/9.16  % (12940)Time elapsed: 8.796 s
% 60.74/9.16  % (12940)Instructions burned: 19796 (million)
% 60.74/9.16  % (12934)Success in time 8.79 s
%------------------------------------------------------------------------------