TSTP Solution File: SYN065+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN065+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 : n020.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 19:25:24 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  13 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   28 (  14   ~;   7   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   35 (  27   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(resolution,[],[f22,f14]) ).

fof(f14,plain,
    ! [X0] : big_f(X0,sK0(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] : big_f(X0,sK0(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( ? [X1] : big_f(X0,X1)
     => big_f(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ! [X0] :
    ? [X1] : big_f(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_1) ).

fof(f22,plain,
    ! [X0] : ~ big_f(sK1,X0),
    inference(resolution,[],[f21,f15]) ).

fof(f15,plain,
    ! [X1] : ~ big_h(sK1,X1),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X1] : ~ big_h(sK1,X1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f6,f10]) ).

fof(f10,plain,
    ( ? [X0] :
      ! [X1] : ~ big_h(X0,X1)
   => ! [X1] : ~ big_h(sK1,X1) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0] :
    ! [X1] : ~ big_h(X0,X1),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0] :
      ? [X1] : big_h(X0,X1),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0] :
    ? [X1] : big_h(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36) ).

fof(f21,plain,
    ! [X0,X1] :
      ( big_h(X0,sK2(X1))
      | ~ big_f(X0,X1) ),
    inference(resolution,[],[f17,f16]) ).

fof(f16,plain,
    ! [X0] : big_g(X0,sK2(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] : big_g(X0,sK2(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f2,f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ? [X1] : big_g(X0,X1)
     => big_g(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] : big_g(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_2) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ big_g(X1,X2)
      | big_h(X0,X2)
      | ~ big_f(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ~ big_f(X1,X2)
            & ~ big_g(X1,X2) )
          | big_h(X0,X2) )
      | ( ~ big_g(X0,X1)
        & ~ big_f(X0,X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( big_g(X0,X1)
        | big_f(X0,X1) )
     => ! [X2] :
          ( ( big_g(X1,X2)
            | big_f(X1,X2) )
         => big_h(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:29:00 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (12907)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.50  % (12901)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.50  % (12899)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.50  % (12901)First to succeed.
% 0.21/0.50  % (12907)Refutation not found, incomplete strategy% (12907)------------------------------
% 0.21/0.50  % (12907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (12921)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (12923)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.51  % (12907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (12907)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (12907)Memory used [KB]: 1407
% 0.21/0.51  % (12907)Time elapsed: 0.095 s
% 0.21/0.51  % (12907)Instructions burned: 1 (million)
% 0.21/0.51  % (12907)------------------------------
% 0.21/0.51  % (12907)------------------------------
% 0.21/0.51  % (12909)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (12901)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (12901)------------------------------
% 0.21/0.51  % (12901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (12901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (12901)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (12901)Memory used [KB]: 5884
% 0.21/0.51  % (12901)Time elapsed: 0.094 s
% 0.21/0.51  % (12901)Instructions burned: 2 (million)
% 0.21/0.51  % (12901)------------------------------
% 0.21/0.51  % (12901)------------------------------
% 0.21/0.51  % (12894)Success in time 0.154 s
%------------------------------------------------------------------------------