↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR052+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:13:11 PM UTC 2026

% Result   : Theorem 199.82s 26.45s
% Output   : CNFRefutation 176.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   39 (  21 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   80 (  46   ~;  29   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4357,axiom,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5606,axiom,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5727,axiom,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6645,axiom,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8138,axiom,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10200,axiom,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13323,axiom,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19340,axiom,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44178,axiom,
    ! [X,Y,Z] :
      ( ( genls(Y,Z)
        & genls(X,Y) )
     => genls(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
   => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33))
     => genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f49676,plain,
    genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(cnf_transformation,[status(thm)],[f4357]) ).

fof(f51254,plain,
    genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
    inference(cnf_transformation,[status(thm)],[f5606]) ).

fof(f51407,plain,
    genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
    inference(cnf_transformation,[status(thm)],[f5727]) ).

fof(f52560,plain,
    genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
    inference(cnf_transformation,[status(thm)],[f6645]) ).

fof(f54482,plain,
    genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
    inference(cnf_transformation,[status(thm)],[f8138]) ).

fof(f57038,plain,
    genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
    inference(cnf_transformation,[status(thm)],[f10200]) ).

fof(f60923,plain,
    genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
    inference(cnf_transformation,[status(thm)],[f13323]) ).

fof(f68499,plain,
    genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
    inference(cnf_transformation,[status(thm)],[f19340]) ).

fof(f110667,plain,
    ! [X,Y,Z] :
      ( genls(X,Z)
      | ~ genls(Y,Z)
      | ~ genls(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f44178]) ).

fof(f110668,plain,
    ! [X,Z] :
      ( genls(X,Z)
      | ! [Y] :
          ( ~ genls(Y,Z)
          | ~ genls(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f110667]) ).

fof(f110669,plain,
    ! [X0,X1,X2] :
      ( genls(X0,X2)
      | ~ genls(X1,X2)
      | ~ genls(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f110668]) ).

fof(f110738,plain,
    ( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)),c_translation_33)) ),
    inference(pre_NNF_transformation,[status(thm)],[f44218]) ).

fof(f110740,plain,
    ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
    inference(cnf_transformation,[status(thm)],[f110738]) ).

fof(f110860,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_7_39939)
      | ~ genls(c_tptpcol_15_40430,X0) ),
    inference(resolution,[status(thm)],[f110669,f110740]) ).

fof(f110863,plain,
    ~ genls(c_tptpcol_14_40429,c_tptpcol_7_39939),
    inference(resolution,[status(thm)],[f110860,f51407]) ).

fof(f110865,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_7_39939)
      | ~ genls(c_tptpcol_14_40429,X0) ),
    inference(resolution,[status(thm)],[f110863,f110669]) ).

fof(f110866,plain,
    ~ genls(c_tptpcol_13_40421,c_tptpcol_7_39939),
    inference(resolution,[status(thm)],[f110865,f57038]) ).

fof(f110868,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_7_39939)
      | ~ genls(c_tptpcol_13_40421,X0) ),
    inference(resolution,[status(thm)],[f110866,f110669]) ).

fof(f110870,plain,
    ! [X0,X1] :
      ( ~ genls(X1,X0)
      | ~ genls(c_tptpcol_13_40421,X1)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f110868,f110669]) ).

fof(f110894,plain,
    ! [X0,X1,X2] :
      ( ~ genls(X2,X1)
      | ~ genls(c_tptpcol_13_40421,X2)
      | ~ genls(X1,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f110870,f110669]) ).

fof(f111000,plain,
    ! [X0,X1] :
      ( ~ genls(c_tptpcol_12_40420,X1)
      | ~ genls(X1,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f110894,f68499]) ).

fof(f111004,plain,
    ! [X0,X1,X2] :
      ( ~ genls(X2,X1)
      | ~ genls(c_tptpcol_12_40420,X2)
      | ~ genls(X1,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f111000,f110669]) ).

fof(f111005,plain,
    ! [X0,X1,X2,X3] :
      ( ~ genls(X3,X2)
      | ~ genls(c_tptpcol_12_40420,X3)
      | ~ genls(X2,X1)
      | ~ genls(X1,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f111004,f110669]) ).

fof(f119371,plain,
    ! [X0,X1,X2] :
      ( ~ genls(c_tptpcol_11_40388,X2)
      | ~ genls(X2,X1)
      | ~ genls(X1,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f54482,f111005]) ).

fof(f124700,plain,
    ! [X0,X1] :
      ( ~ genls(c_tptpcol_10_40324,X1)
      | ~ genls(X1,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f60923,f119371]) ).

fof(f124704,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_9_40196,X0)
      | ~ genls(X0,c_tptpcol_7_39939) ),
    inference(resolution,[status(thm)],[f124700,f51254]) ).

fof(f124706,plain,
    ~ genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
    inference(resolution,[status(thm)],[f124704,f52560]) ).

fof(f124708,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f124706,f49676]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR052+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n014.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 14:36:35 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 1.05/1.33  % Drodi V4.1.1
% 199.82/26.45  % Refutation found
% 199.82/26.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 199.82/26.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.43/26.81  % Elapsed time: 26.419731 seconds
% 12.43/26.81  % CPU time: 200.890895 seconds
% 12.43/26.81  % Total memory used: 2.053 GB
% 12.43/26.81  % Net memory used: 2.038 GB
%------------------------------------------------------------------------------