TSTP Solution File: SYN060+1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN060+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 : n013.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 19:25:22 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  14   ~;   6   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f18]) ).

fof(f18,plain,
    big_f(sK0),
    inference(resolution,[],[f14,f11]) ).

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

fof(f7,plain,
    ! [X0] :
      ( ( big_h(X0)
        & big_f(X0) )
      | ( big_i(X0)
        & big_g(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ( big_g(X0)
       => ~ big_i(X0) )
     => ( big_h(X0)
        & big_f(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_2) ).

fof(f14,plain,
    ~ big_i(sK0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ big_i(sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f8]) ).

fof(f8,plain,
    ( ? [X0] : ~ big_i(X0)
   => ~ big_i(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0] : ~ big_i(X0),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ! [X0] : big_i(X0),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ! [X0] : big_i(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30) ).

fof(f20,plain,
    ~ big_f(sK0),
    inference(resolution,[],[f17,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ big_h(X0)
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ( ~ big_g(X0)
        & ~ big_f(X0) )
      | ~ big_h(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ( big_f(X0)
        | big_g(X0) )
     => ~ big_h(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_1) ).

fof(f17,plain,
    big_h(sK0),
    inference(resolution,[],[f14,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( big_i(X0)
      | big_h(X0) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n013.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 21:22:32 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.50  % (13634)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (13647)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)
% 0.18/0.50  % (13651)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.50  % (13654)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)
% 0.18/0.50  % (13634)First to succeed.
% 0.18/0.51  % (13642)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.51  % (13634)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (13634)------------------------------
% 0.18/0.51  % (13634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (13634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (13634)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (13634)Memory used [KB]: 5884
% 0.18/0.51  % (13634)Time elapsed: 0.104 s
% 0.18/0.51  % (13634)Instructions burned: 1 (million)
% 0.18/0.51  % (13634)------------------------------
% 0.18/0.51  % (13634)------------------------------
% 0.18/0.51  % (13631)Success in time 0.164 s
%------------------------------------------------------------------------------