TSTP Solution File: LAT045-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 07:25:44 EDT 2024

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1175,plain,
    $false,
    inference(subsumption_resolution,[],[f1174,f47]) ).

fof(f47,plain,
    ! [X0] : meet(n1,X0) = X0,
    inference(superposition,[],[f5,f22]) ).

fof(f22,plain,
    ! [X0] : meet(X0,n1) = X0,
    inference(superposition,[],[f3,f16]) ).

fof(f16,plain,
    ! [X0] : n1 = join(X0,complement(X0)),
    inference(superposition,[],[f11,f13]) ).

fof(f13,axiom,
    ! [X0] : complement(complement(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).

fof(f11,axiom,
    ! [X0] : join(complement(X0),X0) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).

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

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

fof(f1174,plain,
    join(a,b) != meet(n1,join(a,b)),
    inference(forward_demodulation,[],[f1111,f16]) ).

fof(f1111,plain,
    join(a,b) != meet(join(a,complement(a)),join(a,b)),
    inference(superposition,[],[f15,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law) ).

fof(f15,axiom,
    join(a,b) != join(a,meet(complement(a),join(a,b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_orthomodular_law) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 12:38:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (6660)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (6663)WARNING: value z3 for option sas not known
% 0.12/0.35  % (6661)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35  % (6667)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)
% 0.12/0.35  % (6662)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35  % (6664)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35  % (6665)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)
% 0.12/0.35  % (6663)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)
% 0.12/0.35  % (6666)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)
% 0.12/0.35  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [3]
% 0.12/0.37  TRYING [3]
% 0.12/0.37  TRYING [4]
% 0.12/0.38  % (6663)First to succeed.
% 0.12/0.38  % (6663)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6660"
% 0.12/0.38  TRYING [4]
% 0.12/0.38  % (6663)Refutation found. Thanks to Tanya!
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38  % (6663)------------------------------
% 0.12/0.38  % (6663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.38  % (6663)Termination reason: Refutation
% 0.12/0.38  
% 0.12/0.38  % (6663)Memory used [KB]: 1067
% 0.12/0.38  % (6663)Time elapsed: 0.024 s
% 0.12/0.38  % (6663)Instructions burned: 50 (million)
% 0.12/0.38  % (6660)Success in time 0.039 s
%------------------------------------------------------------------------------