TSTP Solution File: LAT037-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT037-1 : 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 : n027.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 13:20:29 EDT 2024

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (  36 unt;   0 def)
%            Number of atoms       :   36 (  35 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8549,plain,
    $false,
    inference(subsumption_resolution,[],[f8520,f20]) ).

fof(f20,axiom,
    yy != zz,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).

fof(f8520,plain,
    yy = zz,
    inference(superposition,[],[f8499,f12]) ).

fof(f12,axiom,
    ! [X0] : join(X0,n0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_0) ).

fof(f8499,plain,
    yy = join(zz,n0),
    inference(forward_demodulation,[],[f8452,f7961]) ).

fof(f7961,plain,
    yy = join(zz,yy),
    inference(superposition,[],[f180,f7919]) ).

fof(f7919,plain,
    yy = join(yy,zz),
    inference(forward_demodulation,[],[f7872,f12]) ).

fof(f7872,plain,
    join(yy,n0) = join(yy,zz),
    inference(superposition,[],[f7256,f19]) ).

fof(f19,axiom,
    n0 = meet(xx,zz),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs4) ).

fof(f7256,plain,
    ! [X0] : join(yy,X0) = join(yy,meet(xx,X0)),
    inference(forward_demodulation,[],[f7060,f34]) ).

fof(f34,plain,
    ! [X0] : meet(n1,X0) = X0,
    inference(superposition,[],[f5,f13]) ).

fof(f13,axiom,
    ! [X0] : meet(X0,n1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_meet_1) ).

fof(f5,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).

fof(f7060,plain,
    ! [X0] : meet(n1,join(yy,X0)) = join(yy,meet(xx,X0)),
    inference(superposition,[],[f9,f2232]) ).

fof(f2232,plain,
    n1 = join(yy,xx),
    inference(superposition,[],[f2211,f180]) ).

fof(f2211,plain,
    ! [X0] : n1 = join(xx,join(yy,X0)),
    inference(forward_demodulation,[],[f2167,f50]) ).

fof(f50,plain,
    ! [X0] : n1 = join(n1,X0),
    inference(superposition,[],[f34,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).

fof(f2167,plain,
    ! [X0] : join(n1,X0) = join(xx,join(yy,X0)),
    inference(superposition,[],[f8,f16]) ).

fof(f16,axiom,
    n1 = join(xx,yy),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).

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

fof(f9,axiom,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).

fof(f180,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
    inference(superposition,[],[f102,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f102,plain,
    ! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
    inference(superposition,[],[f37,f62]) ).

fof(f62,plain,
    ! [X0,X1] : meet(X0,join(X1,X0)) = X0,
    inference(superposition,[],[f3,f6]) ).

fof(f37,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(superposition,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).

fof(f8452,plain,
    join(zz,n0) = join(zz,yy),
    inference(superposition,[],[f7261,f18]) ).

fof(f18,axiom,
    n0 = meet(xx,yy),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs3) ).

fof(f7261,plain,
    ! [X0] : join(zz,X0) = join(zz,meet(xx,X0)),
    inference(forward_demodulation,[],[f7065,f34]) ).

fof(f7065,plain,
    ! [X0] : meet(n1,join(zz,X0)) = join(zz,meet(xx,X0)),
    inference(superposition,[],[f9,f2271]) ).

fof(f2271,plain,
    n1 = join(zz,xx),
    inference(superposition,[],[f2212,f180]) ).

fof(f2212,plain,
    ! [X0] : n1 = join(xx,join(zz,X0)),
    inference(forward_demodulation,[],[f2168,f50]) ).

fof(f2168,plain,
    ! [X0] : join(n1,X0) = join(xx,join(zz,X0)),
    inference(superposition,[],[f8,f17]) ).

fof(f17,axiom,
    n1 = join(xx,zz),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Apr 29 22:15:17 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (1005)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (1008)WARNING: value z3 for option sas not known
% 0.22/0.38  % (1009)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (1007)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (1010)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)
% 0.22/0.38  % (1011)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)
% 0.22/0.38  % (1006)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (1012)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)
% 0.22/0.38  % (1008)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)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [4]
% 0.22/0.40  TRYING [3]
% 0.22/0.42  TRYING [5]
% 0.22/0.45  TRYING [4]
% 0.22/0.50  TRYING [6]
% 0.22/0.51  % (1012)First to succeed.
% 0.22/0.51  % (1012)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51  % (1012)------------------------------
% 0.22/0.51  % (1012)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.51  % (1012)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (1012)Memory used [KB]: 2692
% 0.22/0.51  % (1012)Time elapsed: 0.132 s
% 0.22/0.51  % (1012)Instructions burned: 295 (million)
% 0.22/0.51  % (1012)------------------------------
% 0.22/0.51  % (1012)------------------------------
% 0.22/0.51  % (1005)Success in time 0.139 s
%------------------------------------------------------------------------------