TSTP Solution File: SYN054+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN054+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 : n016.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 19:25:20 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (   4 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   48 (  20   ~;  19   |;   4   &)
%                                         (   0 <=>;   5  =>;   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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (  14   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,plain,
    $false,
    inference(unit_resulting_resolution,[],[f26,f24]) ).

fof(f24,plain,
    big_p(sK1),
    inference(subsumption_resolution,[],[f20,f23]) ).

fof(f23,plain,
    ! [X0] : ~ big_q(X0),
    inference(subsumption_resolution,[],[f19,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( big_s(X0)
      | ~ big_q(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] :
      ( ( ~ big_r(X0)
        & ~ big_q(X0) )
      | big_s(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ( big_q(X0)
        | big_r(X0) )
     => big_s(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_4) ).

fof(f19,plain,
    ! [X0] :
      ( ~ big_s(X0)
      | ~ big_q(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_s(X0)
      | ~ big_q(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ~ ? [X0] :
        ( big_q(X0)
        & big_s(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_1) ).

fof(f20,plain,
    ( big_q(sK0)
    | big_p(sK1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( big_q(sK0)
    | big_p(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f15,f14]) ).

fof(f14,plain,
    ( ? [X0] : big_q(X0)
   => big_q(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ? [X1] : big_p(X1)
   => big_p(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X0] : big_q(X0)
    | ? [X1] : big_p(X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,plain,
    ( ? [X1] : big_q(X1)
    | ? [X0] : big_p(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ~ ? [X0] : big_p(X0)
   => ? [X1] : big_q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_3) ).

fof(f26,plain,
    ! [X0] : ~ big_p(X0),
    inference(subsumption_resolution,[],[f25,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ big_r(X0)
      | ~ big_p(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | ~ big_r(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ? [X0] :
        ( big_r(X0)
        & big_p(X0) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ? [X0] :
      ( big_r(X0)
      & big_p(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24) ).

fof(f25,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_r(X0) ),
    inference(subsumption_resolution,[],[f22,f23]) ).

fof(f22,plain,
    ! [X0] :
      ( big_r(X0)
      | big_q(X0)
      | ~ big_p(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_q(X0)
      | big_r(X0) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ! [X0] :
      ( big_r(X0)
      | big_q(X0)
      | ~ big_p(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( big_p(X0)
     => ( big_r(X0)
        | big_q(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN054+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
% 0.13/0.34  % Computer : n016.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 21:48:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (23347)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (23349)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (23357)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (23357)First to succeed.
% 0.19/0.51  % (23357)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  % (23357)------------------------------
% 0.19/0.51  % (23357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23357)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (23357)Memory used [KB]: 5884
% 0.19/0.51  % (23357)Time elapsed: 0.102 s
% 0.19/0.51  % (23357)Instructions burned: 1 (million)
% 0.19/0.51  % (23357)------------------------------
% 0.19/0.51  % (23357)------------------------------
% 0.19/0.51  % (23345)Success in time 0.157 s
%------------------------------------------------------------------------------