TSTP Solution File: NUM304+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM304+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Sat May  4 08:59:17 EDT 2024

% Result   : Theorem 0.22s 0.55s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   39 (  10 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   39 (  20   ~;  11   |;   5   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   32 (   8 sgn  15   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(something_not_n12,conjecture,
    ? [X1] : X1 != n12,
    file('/export/starexec/sandbox/tmp/tmp.LkQYXVrk0v/E---3.1_29596.p',something_not_n12) ).

fof(less_property,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
    <=> ( ~ less(X2,X1)
        & X2 != X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.LkQYXVrk0v/E---3.1_29596.p',less_property) ).

fof(less_entry_point_neg_pos,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_pos(X11)) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.LkQYXVrk0v/E---3.1_29596.p',less_entry_point_neg_pos) ).

fof(rdn1,axiom,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox/tmp/tmp.LkQYXVrk0v/E---3.1_29596.p',rdn1) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1] : X1 != n12,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[something_not_n12])]) ).

fof(c_0_5,negated_conjecture,
    ! [X154] : X154 = n12,
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X1,X2] :
      ( less(X1,X2)
    <=> ( ~ less(X2,X1)
        & X2 != X1 ) ),
    inference(fof_simplification,[status(thm)],[less_property]) ).

fof(c_0_7,plain,
    ! [X53,X54,X55,X56] :
      ( ~ rdn_translate(X53,rdn_neg(X55))
      | ~ rdn_translate(X54,rdn_pos(X56))
      | less(X53,X54) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_pos])])]) ).

cnf(c_0_8,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(split_conjunct,[status(thm)],[rdn1]) ).

cnf(c_0_9,negated_conjecture,
    X1 = n12,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_10,plain,
    ! [X61,X62] :
      ( ( ~ less(X62,X61)
        | ~ less(X61,X62) )
      & ( X62 != X61
        | ~ less(X61,X62) )
      & ( less(X62,X61)
        | X62 = X61
        | less(X61,X62) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).

cnf(c_0_11,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    rdn_translate(n1,n12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_9,c_0_9]) ).

cnf(c_0_14,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,n12)
    | ~ rdn_translate(X1,n12) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    rdn_translate(X1,n12),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    less(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).

cnf(c_0_19,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : NUM304+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 09:33:22 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order model finding
% 0.22/0.51  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.LkQYXVrk0v/E---3.1_29596.p
% 0.22/0.55  # Version: 3.1.0
% 0.22/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.22/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.22/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.22/0.55  # Starting new_bool_1 with 600s (2) cores
% 0.22/0.55  # Starting sh5l with 300s (1) cores
% 0.22/0.55  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 29715 completed with status 0
% 0.22/0.55  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.22/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.22/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.22/0.55  # No SInE strategy applied
% 0.22/0.55  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.22/0.55  # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 0.22/0.55  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 82s (1) cores
% 0.22/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 0.22/0.55  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 82s (1) cores
% 0.22/0.55  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 29731 completed with status 0
% 0.22/0.55  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.22/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.22/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.22/0.55  # No SInE strategy applied
% 0.22/0.55  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.22/0.55  # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 0.22/0.55  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 82s (1) cores
% 0.22/0.55  # Preprocessing time       : 0.005 s
% 0.22/0.55  # Presaturation interreduction done
% 0.22/0.55  
% 0.22/0.55  # Proof found!
% 0.22/0.55  # SZS status Theorem
% 0.22/0.55  # SZS output start CNFRefutation
% See solution above
% 0.22/0.55  # Parsed axioms                        : 402
% 0.22/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.55  # Initial clauses                      : 407
% 0.22/0.55  # Removed in clause preprocessing      : 0
% 0.22/0.55  # Initial clauses in saturation        : 407
% 0.22/0.55  # Processed clauses                    : 449
% 0.22/0.55  # ...of these trivial                  : 369
% 0.22/0.55  # ...subsumed                          : 11
% 0.22/0.55  # ...remaining for further processing  : 69
% 0.22/0.55  # Other redundant clauses eliminated   : 2
% 0.22/0.55  # Clauses deleted for lack of memory   : 0
% 0.22/0.55  # Backward-subsumed                    : 1
% 0.22/0.55  # Backward-rewritten                   : 22
% 0.22/0.55  # Generated clauses                    : 93
% 0.22/0.55  # ...of the previous two non-redundant : 94
% 0.22/0.55  # ...aggressively subsumed             : 0
% 0.22/0.55  # Contextual simplify-reflections      : 0
% 0.22/0.55  # Paramodulations                      : 91
% 0.22/0.55  # Factorizations                       : 0
% 0.22/0.55  # NegExts                              : 0
% 0.22/0.55  # Equation resolutions                 : 2
% 0.22/0.55  # Disequality decompositions           : 0
% 0.22/0.55  # Total rewrite steps                  : 2308
% 0.22/0.55  # ...of those cached                   : 1999
% 0.22/0.55  # Propositional unsat checks           : 0
% 0.22/0.55  #    Propositional check models        : 0
% 0.22/0.55  #    Propositional check unsatisfiable : 0
% 0.22/0.55  #    Propositional clauses             : 0
% 0.22/0.55  #    Propositional clauses after purity: 0
% 0.22/0.55  #    Propositional unsat core size     : 0
% 0.22/0.55  #    Propositional preprocessing time  : 0.000
% 0.22/0.55  #    Propositional encoding time       : 0.000
% 0.22/0.55  #    Propositional solver time         : 0.000
% 0.22/0.55  #    Success case prop preproc time    : 0.000
% 0.22/0.55  #    Success case prop encoding time   : 0.000
% 0.22/0.55  #    Success case prop solver time     : 0.000
% 0.22/0.55  # Current number of processed clauses  : 11
% 0.22/0.55  #    Positive orientable unit clauses  : 8
% 0.22/0.55  #    Positive unorientable unit clauses: 1
% 0.22/0.55  #    Negative unit clauses             : 0
% 0.22/0.55  #    Non-unit-clauses                  : 2
% 0.22/0.55  # Current number of unprocessed clauses: 72
% 0.22/0.55  # ...number of literals in the above   : 100
% 0.22/0.55  # Current number of archived formulas  : 0
% 0.22/0.55  # Current number of archived clauses   : 56
% 0.22/0.55  # Clause-clause subsumption calls (NU) : 237
% 0.22/0.55  # Rec. Clause-clause subsumption calls : 129
% 0.22/0.55  # Non-unit clause-clause subsumptions  : 5
% 0.22/0.55  # Unit Clause-clause subsumption calls : 26
% 0.22/0.55  # Rewrite failures with RHS unbound    : 50
% 0.22/0.55  # BW rewrite match attempts            : 36
% 0.22/0.55  # BW rewrite match successes           : 25
% 0.22/0.55  # Condensation attempts                : 0
% 0.22/0.55  # Condensation successes               : 0
% 0.22/0.55  # Termbank termtop insertions          : 19806
% 0.22/0.55  # Search garbage collected termcells   : 765
% 0.22/0.55  
% 0.22/0.55  # -------------------------------------------------
% 0.22/0.55  # User time                : 0.014 s
% 0.22/0.55  # System time              : 0.006 s
% 0.22/0.55  # Total time               : 0.021 s
% 0.22/0.55  # Maximum resident set size: 2588 pages
% 0.22/0.55  
% 0.22/0.55  # -------------------------------------------------
% 0.22/0.55  # User time                : 0.031 s
% 0.22/0.55  # System time              : 0.018 s
% 0.22/0.55  # Total time               : 0.049 s
% 0.22/0.55  # Maximum resident set size: 2052 pages
% 0.22/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------