TSTP Solution File: SYN315+1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN315+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 : 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 19:37:28 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :   79 (  29   ~;  25   |;  16   &)
%                                         (   5 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   18 (  12   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,plain,
    $false,
    inference(resolution,[],[f17,f14]) ).

fof(f14,plain,
    ~ p,
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,plain,
    ( ~ p
    | ~ p ),
    inference(resolution,[],[f9,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( big_f(X0)
      | ~ p ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0] :
      ( ( p
        | ~ big_f(X0) )
      & ( big_f(X0)
        | ~ p )
      & ( ~ p
        | ~ big_f(sK0(X0)) )
      & ( p
        | big_f(sK0(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( p
            | ~ big_f(X0) )
          & ( big_f(X0)
            | ~ p )
          & ( ~ p
            | ~ big_f(X1) )
          & ( p
            | big_f(X1) ) )
     => ( ( p
          | ~ big_f(X0) )
        & ( big_f(X0)
          | ~ p )
        & ( ~ p
          | ~ big_f(sK0(X0)) )
        & ( p
          | big_f(sK0(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ! [X0] :
    ? [X1] :
      ( ( p
        | ~ big_f(X0) )
      & ( big_f(X0)
        | ~ p )
      & ( ~ p
        | ~ big_f(X1) )
      & ( p
        | big_f(X1) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ! [X0] :
    ? [X1] :
      ( ( p
        | ~ big_f(X0) )
      & ( big_f(X0)
        | ~ p )
      & ( ~ p
        | ~ big_f(X1) )
      & ( p
        | big_f(X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
      ( ( p
      <=> big_f(X0) )
      & ( big_f(X1)
      <~> p ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( ( p
        <=> big_f(X0) )
       => ( p
        <=> big_f(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
      ( ( p
      <=> big_f(X0) )
     => ( p
      <=> big_f(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_2_1) ).

fof(f9,plain,
    ! [X0] :
      ( ~ big_f(sK0(X0))
      | ~ p ),
    inference(cnf_transformation,[],[f7]) ).

fof(f17,plain,
    p,
    inference(resolution,[],[f15,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( big_f(sK0(X0))
      | p ),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,plain,
    ! [X0] : ~ big_f(X0),
    inference(resolution,[],[f14,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( p
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN315+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:27:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (17730)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)
% 0.19/0.49  % (17738)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)
% 0.19/0.50  % (17740)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50  % (17738)First to succeed.
% 0.19/0.50  % (17731)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.50  % (17738)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (17738)------------------------------
% 0.19/0.50  % (17738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (17738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (17738)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (17738)Memory used [KB]: 895
% 0.19/0.50  % (17738)Time elapsed: 0.097 s
% 0.19/0.50  % (17738)Instructions burned: 1 (million)
% 0.19/0.50  % (17738)------------------------------
% 0.19/0.50  % (17738)------------------------------
% 0.19/0.50  % (17728)Success in time 0.152 s
%------------------------------------------------------------------------------