%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL169-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n022.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 17:39:09 EDT 2022

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   42 (   1 equ)
%            Maximal formula atoms :    2 (   5 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   33 (  33 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   2 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    6 (   5   !;   0   ?;   6   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f23,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f13]) ).

tff(f13,plain,
    ! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

tff(f6,axiom,
    ! [X3: $i,X4: $i] : ( implies(X3,X4) = or(not(X3),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

tff(f1,axiom,
    ! [X0: $i] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

tff(f21,plain,
    ~ axiom(or(not(or(not(p),not(p))),not(p))),
    inference(resolution,[],[f14,f7]) ).

tff(f7,axiom,
    ! [X3: $i] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

tff(f14,plain,
    ~ theorem(or(not(or(not(p),not(p))),not(p))),
    inference(definition_unfolding,[],[f9,f6,f6]) ).

tff(f9,axiom,
    ~ theorem(implies(implies(p,not(p)),not(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL169-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n022.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 01:41:28 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.42  % (8027)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43  % (8019)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.44  % (8027)First to succeed.
% 0.20/0.44  % (8027)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44  % (8027)------------------------------
% 0.20/0.44  % (8027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44  % (8027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44  % (8027)Termination reason: Refutation
% 0.20/0.44  
% 0.20/0.44  % (8027)Memory used [KB]: 5756
% 0.20/0.44  % (8027)Time elapsed: 0.057 s
% 0.20/0.44  % (8027)Instructions burned: 2 (million)
% 0.20/0.44  % (8027)------------------------------
% 0.20/0.44  % (8027)------------------------------
% 0.20/0.44  % (8015)Success in time 0.094 s
%------------------------------------------------------------------------------