TSTP Solution File: CSR062+4 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR062+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 : Tue Apr 30 20:14:47 EDT 2024

% Result   : Theorem 48.43s 7.22s
% Output   : CNFRefutation 50.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   46 (   9 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   77 (  34   ~;  30   |;   3   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   35 (  33   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6288,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6493,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10910,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11228,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11372,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44208,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44322,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f52123,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f6288]) ).

fof(f52373,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_389(ARG1,ARG2)
      | tptptypes_6_388(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f6493]) ).

fof(f52374,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | tptptypes_6_388(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f52373]) ).

fof(f57908,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_390(ARG1,ARG2)
      | tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f10910]) ).

fof(f57909,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_390(X0,X1)
      | tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f57908]) ).

fof(f58302,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(pre_NNF_transformation,[status(esa)],[f11228]) ).

fof(f58303,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(cnf_transformation,[status(esa)],[f58302]) ).

fof(f58493,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_388(ARG1,ARG2)
      | tptptypes_5_387(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f11372]) ).

fof(f58494,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f58493]) ).

fof(f110715,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f44208]) ).

fof(f110716,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f110715]) ).

fof(f110717,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f110716]) ).

fof(f110738,plain,
    ! [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
      & ~ tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(pre_NNF_transformation,[status(esa)],[f44218]) ).

fof(f110739,plain,
    ( mtvisible(c_tptp_member3205_mt)
    & ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(miniscoping,[status(esa)],[f110738]) ).

fof(f110740,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(esa)],[f110739]) ).

fof(f110741,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[status(esa)],[f110739]) ).

fof(f110829,plain,
    ( spl0_24
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(split_symbol_definition) ).

fof(f110831,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f110829]) ).

fof(f110909,plain,
    ( spl0_46
  <=> mtvisible(c_cyclistsmt) ),
    introduced(split_symbol_definition) ).

fof(f110911,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | spl0_46 ),
    inference(component_clause,[status(thm)],[f110909]) ).

fof(f113713,plain,
    ( spl0_773
  <=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    introduced(split_symbol_definition) ).

fof(f113714,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ spl0_773 ),
    inference(component_clause,[status(thm)],[f113713]) ).

fof(f113716,plain,
    ( ~ spl0_46
    | spl0_773 ),
    inference(split_clause,[status(thm)],[f58303,f110909,f113713]) ).

fof(f118496,plain,
    ! [X0] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,c_tptp_spindleheadmt)
      | spl0_24 ),
    inference(resolution,[status(thm)],[f110831,f110717]) ).

fof(f118499,plain,
    ! [X0] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,c_cyclistsmt)
      | spl0_46 ),
    inference(resolution,[status(thm)],[f110911,f110717]) ).

fof(f118504,plain,
    ( ~ mtvisible(c_tptp_member3205_mt)
    | spl0_24 ),
    inference(resolution,[status(thm)],[f118496,f52123]) ).

fof(f118505,plain,
    ( $false
    | spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118504,f110740]) ).

fof(f118506,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f118505]) ).

fof(f118507,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | spl0_46 ),
    inference(resolution,[status(thm)],[f118499,f44322]) ).

fof(f118508,plain,
    ( ~ spl0_24
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f118507,f110829,f110909]) ).

fof(f118509,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | tptptypes_5_387(X1,X0) ),
    inference(resolution,[status(thm)],[f52374,f58494]) ).

fof(f118511,plain,
    ( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ spl0_773 ),
    inference(resolution,[status(thm)],[f57909,f113714]) ).

fof(f118512,plain,
    ( tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers)
    | ~ spl0_773 ),
    inference(resolution,[status(thm)],[f118509,f118511]) ).

fof(f118513,plain,
    ( $false
    | ~ spl0_773 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118512,f110741]) ).

fof(f118514,plain,
    ~ spl0_773,
    inference(contradiction_clause,[status(thm)],[f118513]) ).

fof(f118515,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f113716,f118506,f118508,f118514]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR062+4 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:02:09 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.93/1.19  % Drodi V3.6.0
% 48.43/7.22  % Refutation found
% 48.43/7.22  % SZS status Theorem for theBenchmark: Theorem is valid
% 48.43/7.22  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 51.31/7.59  % Elapsed time: 7.215972 seconds
% 51.31/7.59  % CPU time: 49.477528 seconds
% 51.31/7.59  % Total memory used: 1.912 GB
% 51.31/7.59  % Net memory used: 1.903 GB
%------------------------------------------------------------------------------