TSTP Solution File: CSR038+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR038+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n028.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 15:58:45 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   37 (   7 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   71 (  29   ~;  25   |;   6   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   35 (  32   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(avatar_sat_refutation,[],[f299,f305,f308,f310]) ).

fof(f310,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f309,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f304,f238]) ).

fof(f238,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(f304,plain,
    ( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f302,plain,
    ( spl0_3
  <=> relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f308,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f298,f241]) ).

fof(f241,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f298,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl0_2
  <=> isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f305,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f300,f292,f296,f302]) ).

fof(f292,plain,
    ( spl0_1
  <=> tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f300,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_1 ),
    inference(resolution,[],[f294,f287]) ).

fof(f287,plain,
    ! [X10,X11,X9] :
      ( tptpcol_16_7738(f_relationexistsallfn(X9,X11,c_tptpcol_16_7738,X10))
      | ~ isa(X9,X10)
      | ~ relationexistsall(X11,c_tptpcol_16_7738,X10) ),
    inference(resolution,[],[f234,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_7738)
     => tptpcol_16_7738(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X12] :
      ( isa(X12,c_tptpcol_16_7738)
     => tptpcol_16_7738(X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( isa(f_relationexistsallfn(X2,X0,X1,X3),X1)
      | ~ isa(X2,X3)
      | ~ relationexistsall(X0,X1,X3) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X2,X0,X3,X1] :
      ( ~ relationexistsall(X0,X1,X3)
      | ~ isa(X2,X3)
      | isa(f_relationexistsallfn(X2,X0,X1,X3),X1) ),
    inference(flattening,[],[f173]) ).

fof(f173,plain,
    ! [X2,X1,X0,X3] :
      ( isa(f_relationexistsallfn(X2,X0,X1,X3),X1)
      | ~ relationexistsall(X0,X1,X3)
      | ~ isa(X2,X3) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X2,X1,X0,X3] :
      ( ( relationexistsall(X0,X1,X3)
        & isa(X2,X3) )
     => isa(f_relationexistsallfn(X2,X0,X1,X3),X1) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ( relationexistsall(X2,X3,X1)
        & isa(X0,X1) )
     => isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

fof(f294,plain,
    ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f299,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f289,f296,f292]) ).

fof(f289,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) ),
    inference(resolution,[],[f225,f228]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
      | ~ tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X0) )
      & mtvisible(c_knowledgefragmentd3mt) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ~ ? [X0] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X0) ) ),
    inference(rectify,[],[f74]) ).

fof(f74,negated_conjecture,
    ~ ? [X12] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X12)
          & tptp_8_968(X12,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(negated_conjecture,[],[f73]) ).

fof(f73,conjecture,
    ? [X12] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptpcol_16_7738(X12)
        & tptp_8_968(X12,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query38) ).

fof(f225,plain,
    ! [X0] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR038+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 18:07:02 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (28308)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (28308)First to succeed.
% 0.20/0.49  % (28308)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (28308)------------------------------
% 0.20/0.49  % (28308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (28308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (28308)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (28308)Memory used [KB]: 5628
% 0.20/0.49  % (28308)Time elapsed: 0.101 s
% 0.20/0.49  % (28308)Instructions burned: 4 (million)
% 0.20/0.49  % (28308)------------------------------
% 0.20/0.49  % (28308)------------------------------
% 0.20/0.49  % (28299)Success in time 0.146 s
%------------------------------------------------------------------------------