TSTP Solution File: CSR044+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR044+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 : 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 15:58:52 EDT 2022

% Result   : Theorem 1.26s 0.52s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (  15 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   94 (  39   ~;  33   |;   9   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   56 (  53   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f337,plain,
    $false,
    inference(subsumption_resolution,[],[f336,f215]) ).

fof(f215,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f336,plain,
    ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(resolution,[],[f334,f320]) ).

fof(f320,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0) ),
    inference(resolution,[],[f192,f275]) ).

fof(f275,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[],[f274,f229]) ).

fof(f229,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f274,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_spindleheadmt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f272,f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X1)
      | ~ genlmt(X1,X0)
      | mtvisible(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( mtvisible(X0)
      | ~ mtvisible(X1)
      | ~ genlmt(X1,X0) ),
    inference(flattening,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( mtvisible(X0)
      | ~ mtvisible(X1)
      | ~ genlmt(X1,X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( mtvisible(X1)
        & genlmt(X1,X0) )
     => mtvisible(X0) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X19,X18] :
      ( ( mtvisible(X18)
        & genlmt(X18,X19) )
     => mtvisible(X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

fof(f272,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[],[f269,f199]) ).

fof(f199,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f269,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member3633_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f228,f210]) ).

fof(f210,plain,
    mtvisible(c_tptp_member3633_mt),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptpcol_16_29490(X0)
        | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptpcol_16_29490(X0)
          & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
    inference(rectify,[],[f66]) ).

fof(f66,negated_conjecture,
    ~ ? [X12] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12)
          & tptpcol_16_29490(X12) ) ),
    inference(negated_conjecture,[],[f65]) ).

fof(f65,conjecture,
    ? [X12] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12)
        & tptpcol_16_29490(X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query44) ).

fof(f192,plain,
    ! [X0] :
      ( ~ mtvisible(c_cyclistsmt)
      | tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X0) ),
    inference(flattening,[],[f177]) ).

fof(f177,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X0) )
     => tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f334,plain,
    ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
    inference(resolution,[],[f328,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ tptpcol_16_29490(X0)
      | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f328,plain,
    tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
    inference(resolution,[],[f323,f251]) ).

fof(f251,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(resolution,[],[f211,f215]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ executionbyfiringsquad(X0)
      | isa(X0,c_executionbyfiringsquad) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ executionbyfiringsquad(X0)
      | isa(X0,c_executionbyfiringsquad) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( executionbyfiringsquad(X0)
     => isa(X0,c_executionbyfiringsquad) ),
    inference(rectify,[],[f34]) ).

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

fof(f323,plain,
    ! [X0] :
      ( ~ isa(X0,c_executionbyfiringsquad)
      | tptpcol_16_29490(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(resolution,[],[f322,f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_29490)
      | tptpcol_16_29490(X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( tptpcol_16_29490(X0)
      | ~ isa(X0,c_tptpcol_16_29490) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_29490)
     => tptpcol_16_29490(X0) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X12] :
      ( isa(X12,c_tptpcol_16_29490)
     => tptpcol_16_29490(X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

fof(f322,plain,
    ! [X0] :
      ( isa(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
      | ~ isa(X0,c_executionbyfiringsquad) ),
    inference(resolution,[],[f219,f277]) ).

fof(f277,plain,
    relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
    inference(resolution,[],[f275,f205]) ).

fof(f205,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(f219,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relationallexists(X3,X2,X0)
      | ~ isa(X1,X2)
      | isa(f_relationallexistsfn(X1,X3,X2,X0),X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relationallexists(X3,X2,X0)
      | isa(f_relationallexistsfn(X1,X3,X2,X0),X0)
      | ~ isa(X1,X2) ),
    inference(rectify,[],[f166]) ).

fof(f166,plain,
    ! [X2,X1,X3,X0] :
      ( ~ relationallexists(X0,X3,X2)
      | isa(f_relationallexistsfn(X1,X0,X3,X2),X2)
      | ~ isa(X1,X3) ),
    inference(flattening,[],[f165]) ).

fof(f165,plain,
    ! [X3,X2,X1,X0] :
      ( isa(f_relationallexistsfn(X1,X0,X3,X2),X2)
      | ~ isa(X1,X3)
      | ~ relationallexists(X0,X3,X2) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X3,X2,X1,X0] :
      ( ( isa(X1,X3)
        & relationallexists(X0,X3,X2) )
     => isa(f_relationallexistsfn(X1,X0,X3,X2),X2) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X0,X3,X1] :
      ( ( 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
% 0.07/0.12  % Problem    : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.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   : Mon Aug 29 18:11:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (25447)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (25465)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)
% 0.19/0.51  % (25457)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)
% 0.19/0.51  % (25455)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (25449)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (25457)First to succeed.
% 1.26/0.52  % (25450)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.26/0.52  % (25469)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.26/0.52  % (25450)Instruction limit reached!
% 1.26/0.52  % (25450)------------------------------
% 1.26/0.52  % (25450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52  % (25450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52  % (25450)Termination reason: Unknown
% 1.26/0.52  % (25450)Termination phase: Blocked clause elimination
% 1.26/0.52  
% 1.26/0.52  % (25450)Memory used [KB]: 1023
% 1.26/0.52  % (25450)Time elapsed: 0.002 s
% 1.26/0.52  % (25450)Instructions burned: 3 (million)
% 1.26/0.52  % (25450)------------------------------
% 1.26/0.52  % (25450)------------------------------
% 1.26/0.52  % (25462)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.26/0.52  % (25457)Refutation found. Thanks to Tanya!
% 1.26/0.52  % SZS status Theorem for theBenchmark
% 1.26/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.52  % (25457)------------------------------
% 1.26/0.52  % (25457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52  % (25457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52  % (25457)Termination reason: Refutation
% 1.26/0.52  
% 1.26/0.52  % (25457)Memory used [KB]: 1023
% 1.26/0.52  % (25457)Time elapsed: 0.065 s
% 1.26/0.52  % (25457)Instructions burned: 3 (million)
% 1.26/0.52  % (25457)------------------------------
% 1.26/0.52  % (25457)------------------------------
% 1.26/0.52  % (25437)Success in time 0.173 s
%------------------------------------------------------------------------------