↑ Up

SInE---0.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM292+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n074.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:02:05 EST 2018

% Result   : Theorem 242.42s
% Output   : CNFRefutation 242.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (  15 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   50 (  25   ~;  20   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   3 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(17,axiom,
    ! [X1] :
      ( rdn_non_zero_digit(rdnn(X1))
     => rdn_non_zero(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',rdn_non_zero_by_digit) ).

fof(28,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',rdn_digit1) ).

fof(72,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',rdn2) ).

fof(82,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',rdn13) ).

fof(123,axiom,
    ! [X1,X2,X3,X4] :
      ( ( rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X2,rdn_pos(X4))
        & rdn_positive_less(X3,X4) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',less_entry_point_pos_pos) ).

fof(142,axiom,
    ! [X29,X26,X27] :
      ( rdn_non_zero(X27)
     => rdn_positive_less(rdnn(X29),rdn(rdnn(X26),X27)) ),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',rdn_extra_digits_positive_less) ).

fof(154,conjecture,
    less(n2,n13),
    file('/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5',n2_less_n13) ).

fof(155,negated_conjecture,
    ~ less(n2,n13),
    inference(assume_negation,[status(cth)],[154]) ).

fof(157,negated_conjecture,
    ~ less(n2,n13),
    inference(fof_simplification,[status(thm)],[155,theory(equality)]) ).

fof(178,plain,
    ! [X1] :
      ( ~ rdn_non_zero_digit(rdnn(X1))
      | rdn_non_zero(rdnn(X1)) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(179,plain,
    ! [X2] :
      ( ~ rdn_non_zero_digit(rdnn(X2))
      | rdn_non_zero(rdnn(X2)) ),
    inference(variable_rename,[status(thm)],[178]) ).

cnf(180,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[179]) ).

cnf(195,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(245,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[72]) ).

cnf(255,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[82]) ).

fof(310,plain,
    ! [X1,X2,X3,X4] :
      ( ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X2,rdn_pos(X4))
      | ~ rdn_positive_less(X3,X4)
      | less(X1,X2) ),
    inference(fof_nnf,[status(thm)],[123]) ).

fof(311,plain,
    ! [X5,X6,X7,X8] :
      ( ~ rdn_translate(X5,rdn_pos(X7))
      | ~ rdn_translate(X6,rdn_pos(X8))
      | ~ rdn_positive_less(X7,X8)
      | less(X5,X6) ),
    inference(variable_rename,[status(thm)],[310]) ).

cnf(312,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    inference(split_conjunct,[status(thm)],[311]) ).

fof(346,plain,
    ! [X29,X26,X27] :
      ( ~ rdn_non_zero(X27)
      | rdn_positive_less(rdnn(X29),rdn(rdnn(X26),X27)) ),
    inference(fof_nnf,[status(thm)],[142]) ).

fof(347,plain,
    ! [X30,X31,X32] :
      ( ~ rdn_non_zero(X32)
      | rdn_positive_less(rdnn(X30),rdn(rdnn(X31),X32)) ),
    inference(variable_rename,[status(thm)],[346]) ).

cnf(348,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    inference(split_conjunct,[status(thm)],[347]) ).

cnf(362,negated_conjecture,
    ~ less(n2,n13),
    inference(split_conjunct,[status(thm)],[157]) ).

cnf(389,plain,
    ( less(X1,n13)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n3),rdnn(n1))) ),
    inference(spm,[status(thm)],[312,255,theory(equality)]) ).

cnf(810,plain,
    ( less(X1,n13)
    | ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
    | ~ rdn_non_zero(rdnn(n1)) ),
    inference(spm,[status(thm)],[389,348,theory(equality)]) ).

cnf(1086,plain,
    ( less(n2,n13)
    | ~ rdn_non_zero(rdnn(n1)) ),
    inference(spm,[status(thm)],[810,245,theory(equality)]) ).

cnf(1096,plain,
    ~ rdn_non_zero(rdnn(n1)),
    inference(sr,[status(thm)],[1086,362,theory(equality)]) ).

cnf(1099,plain,
    ~ rdn_non_zero_digit(rdnn(n1)),
    inference(spm,[status(thm)],[1096,180,theory(equality)]) ).

cnf(1100,plain,
    $false,
    inference(rw,[status(thm)],[1099,195,theory(equality)]) ).

cnf(1101,plain,
    $false,
    inference(cn,[status(thm)],[1100,theory(equality)]) ).

cnf(1102,plain,
    $false,
    1101,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM292+1 : TPTP v7.0.0. Released v3.1.0.
% 0.02/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n074.star.cs.uiowa.edu
% 0.02/0.22  % Model    : x86_64 x86_64
% 0.02/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22  % Memory   : 32218.625MB
% 0.02/0.22  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Fri Jan  5 00:31:30 CST 2018
% 0.02/0.22  % CPUTime  : 
% 0.06/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 29.08/29.32  eprover: CPU time limit exceeded, terminating
% 110.10/110.44  eprover: CPU time limit exceeded, terminating
% 110.21/110.50  -running prover on /export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_1 with time limit 29
% 110.21/110.50  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_1']
% 110.21/110.50  -prover status ResourceOut
% 110.21/110.50  -running prover on /export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_2 with time limit 81
% 110.21/110.50  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_2']
% 110.21/110.50  -prover status ResourceOut
% 110.21/110.50  --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 185.19/185.62  eprover: CPU time limit exceeded, terminating
% 185.31/185.67  -running prover on /export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_3 with time limit 75
% 185.31/185.67  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=75', '/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_3']
% 185.31/185.67  -prover status ResourceOut
% 185.31/185.67  --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 242.31/242.73  eprover: CPU time limit exceeded, terminating
% 242.39/242.81  -running prover on /export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_4 with time limit 57
% 242.39/242.81  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=57', '/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_4']
% 242.39/242.81  -prover status ResourceOut
% 242.39/242.81  --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 242.42/242.92  -running prover on /export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5 with time limit 57
% 242.42/242.92  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=57', '/export/starexec/sandbox2/tmp/tmpGpRBmc/sel_theBenchmark.p_5']
% 242.42/242.92  -prover status Theorem
% 242.42/242.92  Problem theBenchmark.p solved in phase 4.
% 242.42/242.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 242.42/242.92  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 242.42/242.93  Solved 1 out of 1.
% 242.42/242.93  # Problem is unsatisfiable (or provable), constructing proof object
% 242.42/242.93  # SZS status Theorem
% 242.42/242.93  # SZS output start CNFRefutation.
% See solution above
% 242.42/242.93  # SZS output end CNFRefutation
%------------------------------------------------------------------------------