TSTP Solution File: SET915+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET915+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n014.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 18:22:44 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    :   18 (   6 unt;   0 def)
%            Number of atoms       :   32 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  18   ~;   4   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   21 (  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(subsumption_resolution,[],[f37,f33]) ).

fof(f33,plain,
    ~ disjoint(sF4,sK0),
    inference(definition_folding,[],[f26,f32]) ).

fof(f32,plain,
    sF4 = singleton(sK1),
    introduced(function_definition,[]) ).

fof(f26,plain,
    ~ disjoint(singleton(sK1),sK0),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ~ disjoint(singleton(sK1),sK0)
    & ~ in(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).

fof(f16,plain,
    ( ? [X0,X1] :
        ( ~ disjoint(singleton(X1),X0)
        & ~ in(X1,X0) )
   => ( ~ disjoint(singleton(sK1),sK0)
      & ~ in(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ? [X0,X1] :
      ( ~ disjoint(singleton(X1),X0)
      & ~ in(X1,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ? [X1,X0] :
      ( ~ disjoint(singleton(X0),X1)
      & ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0,X1] :
        ( ~ in(X0,X1)
       => disjoint(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0,X1] :
      ( ~ in(X0,X1)
     => disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_zfmisc_1) ).

fof(f37,plain,
    disjoint(sF4,sK0),
    inference(resolution,[],[f36,f25]) ).

fof(f25,plain,
    ~ in(sK1,sK0),
    inference(cnf_transformation,[],[f17]) ).

fof(f36,plain,
    ! [X0] :
      ( in(sK1,X0)
      | disjoint(sF4,X0) ),
    inference(superposition,[],[f30,f32]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X0),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X0),X1)
      | in(X0,X1) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ! [X1,X0] :
      ( disjoint(singleton(X1),X0)
      | in(X1,X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X1,X0] :
      ( ~ in(X1,X0)
     => disjoint(singleton(X1),X0) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( ~ in(X0,X1)
     => disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET915+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n014.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 14:59:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.50  % (27002)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)
% 0.18/0.50  % (27001)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50  % (27014)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (27012)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)
% 0.18/0.51  % (27022)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (27001)First to succeed.
% 0.18/0.51  % (27023)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)
% 0.18/0.51  % (27015)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)
% 0.18/0.51  % (27001)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  % (27001)------------------------------
% 0.18/0.51  % (27001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (27001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (27001)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (27001)Memory used [KB]: 5884
% 0.18/0.51  % (27001)Time elapsed: 0.115 s
% 0.18/0.51  % (27001)Instructions burned: 1 (million)
% 0.18/0.51  % (27001)------------------------------
% 0.18/0.51  % (27001)------------------------------
% 0.18/0.51  % (27000)Success in time 0.167 s
%------------------------------------------------------------------------------