TSTP Solution File: LAT090-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : Tue Apr 30 13:20:42 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(trivial_inequality_removal,[],[f124]) ).

fof(f124,plain,
    a != a,
    inference(superposition,[],[f6,f107]) ).

fof(f107,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[],[f106,f65]) ).

fof(f65,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(forward_demodulation,[],[f56,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).

fof(f56,plain,
    ! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
    inference(superposition,[],[f37,f4]) ).

fof(f37,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
    inference(superposition,[],[f28,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).

fof(f28,plain,
    ! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
    inference(superposition,[],[f4,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).

fof(f106,plain,
    ! [X0] : join(X0,meet(X0,X0)) = X0,
    inference(forward_demodulation,[],[f98,f76]) ).

fof(f76,plain,
    ! [X0] : join(join(X0,X0),X0) = X0,
    inference(superposition,[],[f27,f65]) ).

fof(f27,plain,
    ! [X3,X0] : join(join(meet(X0,X3),X0),X0) = X0,
    inference(superposition,[],[f5,f4]) ).

fof(f98,plain,
    ! [X0] : join(X0,meet(X0,join(join(X0,X0),X0))) = X0,
    inference(superposition,[],[f3,f80]) ).

fof(f80,plain,
    ! [X0] : meet(join(X0,X0),X0) = X0,
    inference(superposition,[],[f4,f65]) ).

fof(f3,axiom,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).

fof(f6,axiom,
    a != join(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 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   : Mon Apr 29 21:41:50 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.32  % (19268)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33  % (19271)WARNING: value z3 for option sas not known
% 0.11/0.33  % (19273)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)
% 0.11/0.33  % (19270)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  % (19275)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)
% 0.11/0.33  % (19269)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33  % (19272)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33  % (19271)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)
% 0.11/0.33  % (19274)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  TRYING [1]
% 0.11/0.33  TRYING [2]
% 0.11/0.33  TRYING [3]
% 0.11/0.33  TRYING [1]
% 0.11/0.33  TRYING [2]
% 0.11/0.34  TRYING [4]
% 0.11/0.34  % (19275)First to succeed.
% 0.11/0.34  % (19271)Also succeeded, but the first one will report.
% 0.11/0.34  % (19275)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  % (19275)------------------------------
% 0.11/0.34  % (19275)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34  % (19275)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (19275)Memory used [KB]: 827
% 0.11/0.34  % (19275)Time elapsed: 0.006 s
% 0.11/0.34  % (19275)Instructions burned: 9 (million)
% 0.11/0.34  % (19275)------------------------------
% 0.11/0.34  % (19275)------------------------------
% 0.11/0.34  % (19268)Success in time 0.021 s
%------------------------------------------------------------------------------