%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP142-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n001.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 16:14:34 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   15 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   3   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(unit_resulting_resolution,[],[f19,f21,f41,f40]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ sQ0_eqProxy(X1,X2)
      | sQ0_eqProxy(X0,X2)
      | ~ sQ0_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f41,plain,
    ~ sQ0_eqProxy(least_upper_bound(greatest_lower_bound(a,b),a),a),
    inference(unit_resulting_resolution,[],[f20,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X1,X0)
      | ~ sQ0_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f17]) ).

fof(f20,plain,
    ~ sQ0_eqProxy(a,least_upper_bound(greatest_lower_bound(a,b),a)),
    inference(equality_proxy_replacement,[],[f16,f17]) ).

fof(f16,axiom,
    a != least_upper_bound(greatest_lower_bound(a,b),a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb2a) ).

fof(f21,plain,
    ! [X0,X1] : sQ0_eqProxy(least_upper_bound(X0,X1),least_upper_bound(X1,X0)),
    inference(equality_proxy_replacement,[],[f5,f17]) ).

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

fof(f19,plain,
    ! [X0,X1] : sQ0_eqProxy(least_upper_bound(X0,greatest_lower_bound(X0,X1)),X0),
    inference(equality_proxy_replacement,[],[f10,f17]) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP142-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % 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 : n001.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   : Mon Aug 29 22:38:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (16668)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.50  % (16674)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.50  % (16690)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.21/0.50  % (16674)First to succeed.
% 0.21/0.51  % (16682)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.21/0.51  % (16674)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (16674)------------------------------
% 0.21/0.51  % (16674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (16674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (16674)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (16674)Memory used [KB]: 5500
% 0.21/0.51  % (16674)Time elapsed: 0.107 s
% 0.21/0.51  % (16674)Instructions burned: 1 (million)
% 0.21/0.51  % (16674)------------------------------
% 0.21/0.51  % (16674)------------------------------
% 0.21/0.51  % (16667)Success in time 0.159 s
%------------------------------------------------------------------------------