TSTP Solution File: CSR027+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR027+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 : n022.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 15:58:35 EDT 2022

% Result   : Theorem 0.16s 0.44s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   43 (   8 unt;   0 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   99 (  43   ~;  36   |;   9   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   55 (  52   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f348,plain,
    $false,
    inference(subsumption_resolution,[],[f347,f278]) ).

fof(f278,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

fof(f347,plain,
    ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f346,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(resolution,[],[f344,f333]) ).

fof(f333,plain,
    ! [X0] :
      ( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(resolution,[],[f282,f306]) ).

fof(f306,plain,
    mtvisible(c_tptp_member2610_mt),
    inference(resolution,[],[f302,f264]) ).

fof(f264,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f302,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_spindlecollectormt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f246,f243]) ).

fof(f243,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ( ~ tptpcol_16_31868(X0)
        | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) )
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f128,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptpcol_16_31868(X0)
          & tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,negated_conjecture,
    ~ ? [X12] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X12)
          & tptpcol_16_31868(X12) ) ),
    inference(negated_conjecture,[],[f80]) ).

fof(f80,conjecture,
    ? [X12] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X12)
        & tptpcol_16_31868(X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X1)
      | ~ genlmt(X1,X0)
      | mtvisible(X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( mtvisible(X0)
      | ~ genlmt(X1,X0)
      | ~ mtvisible(X1) ),
    inference(rectify,[],[f182]) ).

fof(f182,plain,
    ! [X1,X0] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f181]) ).

fof(f181,plain,
    ! [X1,X0] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X1,X0] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X18,X19] :
      ( ( mtvisible(X18)
        & genlmt(X18,X19) )
     => mtvisible(X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).

fof(f282,plain,
    ! [X0] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(flattening,[],[f216]) ).

fof(f216,plain,
    ! [X0] :
      ( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ( isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
        & mtvisible(c_tptp_member2610_mt) )
     => tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f344,plain,
    ! [X1] :
      ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(resolution,[],[f337,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ~ tptpcol_16_31868(X0)
      | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f337,plain,
    ! [X0] :
      ( tptpcol_16_31868(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(resolution,[],[f331,f234]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_31868)
      | tptpcol_16_31868(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( tptpcol_16_31868(X0)
      | ~ isa(X0,c_tptpcol_16_31868) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_31868)
     => tptpcol_16_31868(X0) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X12] :
      ( isa(X12,c_tptpcol_16_31868)
     => tptpcol_16_31868(X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

fof(f331,plain,
    ! [X0] :
      ( isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
      | ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(subsumption_resolution,[],[f330,f306]) ).

fof(f330,plain,
    ! [X0] :
      ( isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
      | ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(resolution,[],[f252,f248]) ).

fof(f248,plain,
    ( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ( mtvisible(c_tptp_member2610_mt)
   => relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f252,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relationallexists(X2,X1,X0)
      | ~ isa(X3,X1)
      | isa(f_relationallexistsfn(X3,X2,X1,X0),X0) ),
    inference(cnf_transformation,[],[f224]) ).

fof(f224,plain,
    ! [X0,X1,X2,X3] :
      ( ~ isa(X3,X1)
      | isa(f_relationallexistsfn(X3,X2,X1,X0),X0)
      | ~ relationallexists(X2,X1,X0) ),
    inference(rectify,[],[f215]) ).

fof(f215,plain,
    ! [X1,X0,X3,X2] :
      ( ~ isa(X2,X0)
      | isa(f_relationallexistsfn(X2,X3,X0,X1),X1)
      | ~ relationallexists(X3,X0,X1) ),
    inference(flattening,[],[f214]) ).

fof(f214,plain,
    ! [X3,X1,X2,X0] :
      ( isa(f_relationallexistsfn(X2,X3,X0,X1),X1)
      | ~ isa(X2,X0)
      | ~ relationallexists(X3,X0,X1) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X3,X1,X2,X0] :
      ( ( isa(X2,X0)
        & relationallexists(X3,X0,X1) )
     => isa(f_relationallexistsfn(X2,X3,X0,X1),X1) ),
    inference(rectify,[],[f1]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : CSR027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 17:44:56 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.42  % (9956)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.42  % (9948)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.44  % (9948)First to succeed.
% 0.16/0.44  % (9948)Refutation found. Thanks to Tanya!
% 0.16/0.44  % SZS status Theorem for theBenchmark
% 0.16/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44  % (9948)------------------------------
% 0.16/0.44  % (9948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.44  % (9948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.44  % (9948)Termination reason: Refutation
% 0.16/0.44  
% 0.16/0.44  % (9948)Memory used [KB]: 1151
% 0.16/0.44  % (9948)Time elapsed: 0.068 s
% 0.16/0.44  % (9948)Instructions burned: 4 (million)
% 0.16/0.44  % (9948)------------------------------
% 0.16/0.44  % (9948)------------------------------
% 0.16/0.44  % (9931)Success in time 0.121 s
%------------------------------------------------------------------------------