%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN380+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_sat --cores 0 -t %d %s

% Computer : n005.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 19:37:44 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  15   ~;   6   |;   8   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   29 (  22   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f11,f9]) ).

fof(f9,plain,
    ! [X0] : ~ big_r(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] : ~ big_r(X0,X0)
    & ! [X1,X2] :
        ( big_r(X2,X1)
        | ( big_q(X1,X2)
          & ~ big_q(sK0,sK0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X3] : ~ big_q(X3,X3)
   => ~ big_q(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ! [X0] : ~ big_r(X0,X0)
    & ! [X1,X2] :
        ( big_r(X2,X1)
        | ( big_q(X1,X2)
          & ? [X3] : ~ big_q(X3,X3) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ( ! [X0] : ~ big_r(X0,X0)
    & ! [X2,X1] :
        ( big_r(X1,X2)
        | ( big_q(X2,X1)
          & ? [X3] : ~ big_q(X3,X3) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] : ~ big_r(X0,X0)
     => ? [X2,X1] :
          ( ~ big_r(X1,X2)
          & ( big_q(X2,X1)
           => ! [X3] : big_q(X3,X3) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] : ~ big_r(X0,X0)
   => ? [X2,X1] :
        ( ~ big_r(X1,X2)
        & ( big_q(X2,X1)
         => ! [X3] : big_q(X3,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2132) ).

fof(f11,plain,
    ! [X0,X1] : big_r(X0,X1),
    inference(subsumption_resolution,[],[f10,f9]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( big_r(X0,X1)
      | big_r(sK0,sK0) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X2,X1] :
      ( ~ big_q(sK0,sK0)
      | big_r(X2,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ! [X2,X1] :
      ( big_q(X1,X2)
      | big_r(X2,X1) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:49:33 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (23148)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.49  % (23147)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49  % (23144)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)
% 0.19/0.50  % (23160)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.50  % (23150)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50  % (23165)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.50  % (23158)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.50  % (23158)First to succeed.
% 0.19/0.51  % (23158)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  % (23158)------------------------------
% 0.19/0.51  % (23158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23158)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (23158)Memory used [KB]: 895
% 0.19/0.51  % (23158)Time elapsed: 0.104 s
% 0.19/0.51  % (23158)------------------------------
% 0.19/0.51  % (23158)------------------------------
% 0.19/0.51  % (23142)Success in time 0.164 s
%------------------------------------------------------------------------------