TSTP Solution File: LAT088-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n002.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 : Wed Aug 31 17:31:45 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 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   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,plain,
    $false,
    inference(trivial_inequality_removal,[],[f80]) ).

fof(f80,plain,
    a != a,
    inference(backward_demodulation,[],[f6,f68]) ).

fof(f68,plain,
    ! [X3] : meet(X3,X3) = X3,
    inference(forward_demodulation,[],[f57,f28]) ).

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(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(f57,plain,
    ! [X3,X4] : meet(meet(meet(join(X3,X4),X3),X3),X3) = X3,
    inference(superposition,[],[f37,f28]) ).

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(f6,axiom,
    a != meet(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.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 Aug 30 00:58:28 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (9815)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.48  % (9833)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.49  % (9815)First to succeed.
% 0.20/0.49  % (9842)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.20/0.50  % (9817)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (9815)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (9815)------------------------------
% 0.20/0.50  % (9815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (9815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (9815)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (9815)Memory used [KB]: 5628
% 0.20/0.50  % (9815)Time elapsed: 0.092 s
% 0.20/0.50  % (9815)Instructions burned: 7 (million)
% 0.20/0.50  % (9815)------------------------------
% 0.20/0.50  % (9815)------------------------------
% 0.20/0.50  % (9808)Success in time 0.149 s
%------------------------------------------------------------------------------