TSTP Solution File: NUM293+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:58:41 EDT 2023

% Result   : Theorem 0.52s 0.55s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  16   ~;  11   |;   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   :   30 (   4 sgn;  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(something_less_n13,conjecture,
    ? [X1] : less(X1,n13),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',something_less_n13) ).

fof(less_entry_point_pos_pos,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X2,rdn_pos(X11))
        & rdn_positive_less(X10,X11) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',less_entry_point_pos_pos) ).

fof(rdn13,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',rdn13) ).

fof(rdn_non_zero_by_digit,axiom,
    ! [X1] :
      ( rdn_non_zero_digit(rdnn(X1))
     => rdn_non_zero(rdnn(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',rdn_non_zero_by_digit) ).

fof(rdn9,axiom,
    rdn_translate(n9,rdn_pos(rdnn(n9))),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',rdn9) ).

fof(rdn_extra_digits_positive_less,axiom,
    ! [X9,X6,X7] :
      ( rdn_non_zero(X7)
     => rdn_positive_less(rdnn(X9),rdn(rdnn(X6),X7)) ),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',rdn_extra_digits_positive_less) ).

fof(rdn_digit1,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p',rdn_digit1) ).

fof(c_0_7,negated_conjecture,
    ~ ? [X1] : less(X1,n13),
    inference(assume_negation,[status(cth)],[something_less_n13]) ).

fof(c_0_8,plain,
    ! [X34,X35,X36,X37] :
      ( ~ rdn_translate(X34,rdn_pos(X36))
      | ~ rdn_translate(X35,rdn_pos(X37))
      | ~ rdn_positive_less(X36,X37)
      | less(X34,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).

fof(c_0_9,negated_conjecture,
    ! [X33] : ~ less(X33,n13),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

cnf(c_0_10,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn13]) ).

cnf(c_0_12,negated_conjecture,
    ~ less(X1,n13),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,plain,
    ! [X110] :
      ( ~ rdn_non_zero_digit(rdnn(X110))
      | rdn_non_zero(rdnn(X110)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).

cnf(c_0_14,plain,
    ( ~ rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1)))
    | ~ rdn_translate(X2,rdn_pos(X1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_15,plain,
    rdn_translate(n9,rdn_pos(rdnn(n9))),
    inference(split_conjunct,[status(thm)],[rdn9]) ).

fof(c_0_16,plain,
    ! [X63,X64,X65] :
      ( ~ rdn_non_zero(X65)
      | rdn_positive_less(rdnn(X63),rdn(rdnn(X64),X65)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).

cnf(c_0_17,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit1]) ).

cnf(c_0_19,plain,
    ~ rdn_positive_less(rdnn(n9),rdn(rdnn(n3),rdnn(n1))),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
    | ~ rdn_non_zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    rdn_non_zero(rdnn(n1)),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n023.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   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 13:54:37 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  Running first-order model finding
% 0.21/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.AVLB0Fhwdl/E---3.1_27771.p
% 0.52/0.55  # Version: 3.1pre001
% 0.52/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.52/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.52/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.52/0.55  # Starting new_bool_1 with 600s (2) cores
% 0.52/0.55  # Starting sh5l with 300s (1) cores
% 0.52/0.55  # sh5l with pid 27851 completed with status 0
% 0.52/0.55  # Result found by sh5l
% 0.52/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.52/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.52/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.52/0.55  # Starting new_bool_1 with 600s (2) cores
% 0.52/0.55  # Starting sh5l with 300s (1) cores
% 0.52/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.52/0.55  # Search class: FGHSF-FFLM21-MFFFFFNN
% 0.52/0.55  # partial match(1): FGHSF-FSLM21-MFFFFFNN
% 0.52/0.55  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.55  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.52/0.55  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 27856 completed with status 0
% 0.52/0.55  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.52/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.52/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.52/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.52/0.55  # Starting new_bool_1 with 600s (2) cores
% 0.52/0.55  # Starting sh5l with 300s (1) cores
% 0.52/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.52/0.55  # Search class: FGHSF-FFLM21-MFFFFFNN
% 0.52/0.55  # partial match(1): FGHSF-FSLM21-MFFFFFNN
% 0.52/0.55  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.55  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.52/0.55  # Preprocessing time       : 0.003 s
% 0.52/0.55  # Presaturation interreduction done
% 0.52/0.55  
% 0.52/0.55  # Proof found!
% 0.52/0.55  # SZS status Theorem
% 0.52/0.55  # SZS output start CNFRefutation
% See solution above
% 0.52/0.55  # Parsed axioms                        : 402
% 0.52/0.55  # Removed by relevancy pruning/SinE    : 246
% 0.52/0.55  # Initial clauses                      : 160
% 0.52/0.55  # Removed in clause preprocessing      : 0
% 0.52/0.55  # Initial clauses in saturation        : 160
% 0.52/0.55  # Processed clauses                    : 234
% 0.52/0.55  # ...of these trivial                  : 0
% 0.52/0.55  # ...subsumed                          : 7
% 0.52/0.55  # ...remaining for further processing  : 227
% 0.52/0.55  # Other redundant clauses eliminated   : 2
% 0.52/0.55  # Clauses deleted for lack of memory   : 0
% 0.52/0.55  # Backward-subsumed                    : 2
% 0.52/0.55  # Backward-rewritten                   : 0
% 0.52/0.55  # Generated clauses                    : 67
% 0.52/0.55  # ...of the previous two non-redundant : 62
% 0.52/0.55  # ...aggressively subsumed             : 0
% 0.52/0.55  # Contextual simplify-reflections      : 0
% 0.52/0.55  # Paramodulations                      : 63
% 0.52/0.55  # Factorizations                       : 2
% 0.52/0.55  # NegExts                              : 0
% 0.52/0.55  # Equation resolutions                 : 2
% 0.52/0.55  # Total rewrite steps                  : 1
% 0.52/0.55  # Propositional unsat checks           : 0
% 0.52/0.55  #    Propositional check models        : 0
% 0.52/0.55  #    Propositional check unsatisfiable : 0
% 0.52/0.55  #    Propositional clauses             : 0
% 0.52/0.55  #    Propositional clauses after purity: 0
% 0.52/0.55  #    Propositional unsat core size     : 0
% 0.52/0.55  #    Propositional preprocessing time  : 0.000
% 0.52/0.55  #    Propositional encoding time       : 0.000
% 0.52/0.55  #    Propositional solver time         : 0.000
% 0.52/0.55  #    Success case prop preproc time    : 0.000
% 0.52/0.55  #    Success case prop encoding time   : 0.000
% 0.52/0.55  #    Success case prop solver time     : 0.000
% 0.52/0.55  # Current number of processed clauses  : 63
% 0.52/0.55  #    Positive orientable unit clauses  : 42
% 0.52/0.55  #    Positive unorientable unit clauses: 0
% 0.52/0.55  #    Negative unit clauses             : 4
% 0.52/0.55  #    Non-unit-clauses                  : 17
% 0.52/0.55  # Current number of unprocessed clauses: 138
% 0.52/0.55  # ...number of literals in the above   : 200
% 0.52/0.55  # Current number of archived formulas  : 0
% 0.52/0.55  # Current number of archived clauses   : 162
% 0.52/0.55  # Clause-clause subsumption calls (NU) : 632
% 0.52/0.55  # Rec. Clause-clause subsumption calls : 285
% 0.52/0.55  # Non-unit clause-clause subsumptions  : 4
% 0.52/0.55  # Unit Clause-clause subsumption calls : 24
% 0.52/0.55  # Rewrite failures with RHS unbound    : 0
% 0.52/0.55  # BW rewrite match attempts            : 0
% 0.52/0.55  # BW rewrite match successes           : 0
% 0.52/0.55  # Condensation attempts                : 0
% 0.52/0.55  # Condensation successes               : 0
% 0.52/0.55  # Termbank termtop insertions          : 11649
% 0.52/0.55  
% 0.52/0.55  # -------------------------------------------------
% 0.52/0.55  # User time                : 0.015 s
% 0.52/0.55  # System time              : 0.006 s
% 0.52/0.55  # Total time               : 0.020 s
% 0.52/0.55  # Maximum resident set size: 2768 pages
% 0.52/0.55  
% 0.52/0.55  # -------------------------------------------------
% 0.52/0.55  # User time                : 0.020 s
% 0.52/0.55  # System time              : 0.010 s
% 0.52/0.55  # Total time               : 0.030 s
% 0.52/0.55  # Maximum resident set size: 2036 pages
% 0.52/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------