%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL398-1 : 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_sat --cores 0 -t %d %s

% Computer : n026.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 17:48:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  14   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(resolution,[],[f44,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

fof(f44,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(not(x),X0),x)),
    inference(resolution,[],[f41,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

fof(f41,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(x,X0))
      | ~ is_a_theorem(implies(X0,x)) ),
    inference(resolution,[],[f2,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,implies(x,x))))
      | ~ is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f10,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(x,x)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,plain,
    ~ is_a_theorem(implies(x,x)),
    inference(resolution,[],[f6,f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(not(implies(x,x)),y)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(not(implies(x,x)),y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_64) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 02:12:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (7207)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (7199)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53  % (7207)First to succeed.
% 0.20/0.53  % (7207)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (7207)------------------------------
% 0.20/0.53  % (7207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7207)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (7207)Memory used [KB]: 895
% 0.20/0.53  % (7207)Time elapsed: 0.112 s
% 0.20/0.53  % (7207)Instructions burned: 3 (million)
% 0.20/0.53  % (7207)------------------------------
% 0.20/0.53  % (7207)------------------------------
% 0.20/0.53  % (7197)Success in time 0.171 s
%------------------------------------------------------------------------------