TSTP Solution File: SYN379+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n011.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 19:26:26 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   24 (  13   ~;   0   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   28 (  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X2,X3,X1] : big_q(X2,X1,X3),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X1] :
      ( ! [X4] : ~ big_q(X1,X1,X4)
      & ! [X2,X3] : big_q(X2,X1,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ? [X1] :
        ( ! [X2,X3] : big_q(X2,X1,X3)
       => ~ ! [X4] : ~ big_q(X1,X1,X4) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f3,plain,
    ~ ( ! [X0] : big_p(X0)
     => ? [X1] :
          ( ! [X2,X3] : big_q(X2,X1,X3)
         => ~ ! [X4] :
                ( ~ big_q(X1,X1,X4)
                & big_p(X4) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] : big_p(X0)
     => ? [X1] :
          ( ! [X0,X2] : big_q(X0,X1,X2)
         => ~ ! [X2] :
                ( big_p(X2)
                & ~ big_q(X1,X1,X2) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] : big_p(X0)
   => ? [X1] :
        ( ! [X0,X2] : big_q(X0,X1,X2)
       => ~ ! [X2] :
              ( big_p(X2)
              & ~ big_q(X1,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2131) ).

fof(f7,plain,
    ! [X1,X4] : ~ big_q(X1,X1,X4),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % 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 : n011.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 21:47:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (29657)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (29658)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50  % (29649)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (29664)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (29671)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (29657)First to succeed.
% 0.19/0.51  % (29657)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (29657)------------------------------
% 0.19/0.51  % (29657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29657)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (29657)Memory used [KB]: 5884
% 0.19/0.51  % (29657)Time elapsed: 0.102 s
% 0.19/0.51  % (29657)Instructions burned: 1 (million)
% 0.19/0.51  % (29657)------------------------------
% 0.19/0.51  % (29657)------------------------------
% 0.19/0.51  % (29648)Success in time 0.161 s
%------------------------------------------------------------------------------