TSTP Solution File: SYN655-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN655-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:52:45 EDT 2024

% Result   : Unsatisfiable 1.45s 0.56s
% Output   : CNFRefutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  13 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-8 aty)
%            Number of variables   :  106 ( 106   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ! [X177] : p9(X177,X177),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ p9(c22,c23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ! [X178,X179,X177] :
      ( p9(X178,X179)
      | ~ p9(X177,X178)
      | ~ p9(X177,X179) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ! [X9,X14,X5,X6,X7,X8,X3,X10,X11,X12,X13,X4] :
      ( p9(X9,X14)
      | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ! [X43,X37,X38,X39,X40,X41,X36,X42] :
      ( p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43))
      | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ! [X41,X37,X38,X39,X40,X36,X42,X43] :
      ( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
      | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,plain,
    ! [X0] : p9(X0,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f58,plain,
    ~ p9(c22,c23),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f67,plain,
    ! [X179,X177] :
      ( ! [X178] :
          ( p9(X178,X179)
          | ~ p9(X177,X178) )
      | ~ p9(X177,X179) ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( p9(X0,X1)
      | ~ p9(X2,X0)
      | ~ p9(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f86,plain,
    p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f91,plain,
    ! [X9,X14] :
      ( p9(X9,X14)
      | ! [X5,X6,X7,X8,X3,X10,X11,X12,X13,X4] : ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
    inference(miniscoping,[status(esa)],[f30]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( p9(X0,X1)
      | ~ p3(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X9,X10,X1,X11)) ),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f101,plain,
    ! [X43,X38,X39,X40,X41,X36,X42] :
      ( ! [X37] : p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43))
      | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
    inference(miniscoping,[status(esa)],[f35]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( p9(X0,f15(X1,X2,X3,X4,X5,X6,X7,X0))
      | ~ p21(f11(X2,X3,X6,X7,X0,X4),X5) ),
    inference(cnf_transformation,[status(esa)],[f101]) ).

fof(f127,plain,
    ! [X41,X38,X39,X40,X36,X42,X43] :
      ( ! [X37] : p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
      | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
    inference(miniscoping,[status(esa)],[f48]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7)))
      | ~ p21(f11(X2,X3,X5,X6,X7,X4),X0) ),
    inference(cnf_transformation,[status(esa)],[f127]) ).

fof(f169,plain,
    ! [X0] : p9(c22,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
    inference(resolution,[status(thm)],[f102,f86]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X1)
      | ~ p9(c22,X1) ),
    inference(resolution,[status(thm)],[f169,f68]) ).

fof(f382,plain,
    ! [X0] : p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22),
    inference(resolution,[status(thm)],[f239,f50]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( p9(c22,X0)
      | ~ p9(f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X0) ),
    inference(resolution,[status(thm)],[f382,f68]) ).

fof(f389,plain,
    ! [X0] : p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))),
    inference(resolution,[status(thm)],[f128,f86]) ).

fof(f705,plain,
    ! [X0] : p9(c23,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
    inference(resolution,[status(thm)],[f389,f92]) ).

fof(f749,plain,
    ! [X0,X1] :
      ( p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X1)
      | ~ p9(c23,X1) ),
    inference(resolution,[status(thm)],[f705,f68]) ).

fof(f1450,plain,
    ! [X0] : p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23),
    inference(resolution,[status(thm)],[f749,f50]) ).

fof(f1451,plain,
    p9(c22,c23),
    inference(resolution,[status(thm)],[f1450,f385]) ).

fof(f1452,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1451,f58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN655-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:11:58 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.20/0.37  % Drodi V3.6.0
% 1.45/0.56  % Refutation found
% 1.45/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.45/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.57/0.58  % Elapsed time: 0.214137 seconds
% 1.57/0.58  % CPU time: 1.595647 seconds
% 1.57/0.58  % Total memory used: 56.153 MB
% 1.57/0.58  % Net memory used: 54.191 MB
%------------------------------------------------------------------------------