TSTP Solution File: LCL177-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL177-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n007.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 17:47:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f124,plain,
    $false,
    inference(resolution,[],[f123,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f123,plain,
    ! [X0] : ~ axiom(or(not(or(X0,p)),p)),
    inference(resolution,[],[f98,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f98,plain,
    ! [X0] :
      ( ~ axiom(or(not(p),X0))
      | ~ axiom(or(not(X0),p)) ),
    inference(resolution,[],[f44,f9]) ).

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

fof(f44,plain,
    ! [X10,X11,X12] :
      ( theorem(or(X11,not(X12)))
      | ~ axiom(or(not(X10),X11))
      | ~ axiom(or(not(X12),X10)) ),
    inference(resolution,[],[f20,f12]) ).

fof(f12,plain,
    ! [X2,X1] :
      ( ~ theorem(or(X1,X2))
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f20,plain,
    ! [X3,X4,X5] :
      ( theorem(or(not(X3),X4))
      | ~ axiom(or(not(X5),X4))
      | ~ axiom(or(not(X3),X5)) ),
    inference(resolution,[],[f8,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ~ theorem(or(not(X4),X5))
      | theorem(or(not(X3),X5))
      | ~ axiom(or(not(X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL177-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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 01:26:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (4362)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (4370)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49  % (4370)First to succeed.
% 0.19/0.50  % (4370)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (4370)------------------------------
% 0.19/0.50  % (4370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (4370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (4370)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (4370)Memory used [KB]: 5500
% 0.19/0.50  % (4370)Time elapsed: 0.102 s
% 0.19/0.50  % (4370)Instructions burned: 7 (million)
% 0.19/0.50  % (4370)------------------------------
% 0.19/0.50  % (4370)------------------------------
% 0.19/0.50  % (4348)Success in time 0.152 s
%------------------------------------------------------------------------------