TSTP Solution File: NUM695_8 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM695_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:08:18 EDT 2023

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  11 unt;   5 typ;   0 def)
%            Number of atoms       :   11 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    x: nat ).

tff(decl_23,type,
    more: ( nat * nat ) > $o ).

tff(decl_24,type,
    suc: nat > nat ).

tff(decl_25,type,
    n_1: nat ).

tff(decl_26,type,
    pl: ( nat * nat ) > nat ).

tff(satz18,axiom,
    ! [X2: nat,X4: nat] : more(pl(X2,X4),X2),
    file('/export/starexec/sandbox2/tmp/tmp.AGaA4m40Qv/E---3.1_11577.p',satz18) ).

tff(satz4g,axiom,
    ! [X2: nat] : ( suc(X2) = pl(n_1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.AGaA4m40Qv/E---3.1_11577.p',satz4g) ).

tff(satz24b,conjecture,
    more(suc(x),n_1),
    file('/export/starexec/sandbox2/tmp/tmp.AGaA4m40Qv/E---3.1_11577.p',satz24b) ).

tff(c_0_3,plain,
    ! [X5: nat,X6: nat] : more(pl(X5,X6),X5),
    inference(variable_rename,[status(thm)],[satz18]) ).

tff(c_0_4,plain,
    ! [X10: nat] : ( suc(X10) = pl(n_1,X10) ),
    inference(variable_rename,[status(thm)],[satz4g]) ).

tff(c_0_5,negated_conjecture,
    ~ more(suc(x),n_1),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz24b])]) ).

tcf(c_0_6,plain,
    ! [X3: nat,X2: nat] : more(pl(X2,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

tcf(c_0_7,plain,
    ! [X2: nat] : suc(X2) = pl(n_1,X2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

tcf(c_0_8,negated_conjecture,
    ~ more(suc(x),n_1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_9,plain,
    ! [X2: nat] : more(suc(X2),n_1),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM695_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Oct  2 14:38:49 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.AGaA4m40Qv/E---3.1_11577.p
% 0.17/0.45  # Version: 3.1pre001
% 0.17/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # new_bool_1 with pid 11656 completed with status 0
% 0.17/0.45  # Result found by new_bool_1
% 0.17/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGUSS-FFSF21-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45  # SAT001_MinMin_p005000_rr_RG with pid 11661 completed with status 0
% 0.17/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGUSS-FFSF21-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.001 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 12
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 7
% 0.17/0.45  # Initial clauses                      : 5
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 5
% 0.17/0.45  # Processed clauses                    : 11
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 11
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 0
% 0.17/0.45  # Backward-rewritten                   : 1
% 0.17/0.45  # Generated clauses                    : 3
% 0.17/0.45  # ...of the previous two non-redundant : 1
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 0
% 0.17/0.45  # Paramodulations                      : 3
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Total rewrite steps                  : 1
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 5
% 0.17/0.45  #    Positive orientable unit clauses  : 3
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 1
% 0.17/0.45  #    Non-unit-clauses                  : 1
% 0.17/0.45  # Current number of unprocessed clauses: 0
% 0.17/0.45  # ...number of literals in the above   : 0
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 6
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.45  # Unit Clause-clause subsumption calls : 0
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 1
% 0.17/0.45  # BW rewrite match successes           : 1
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 209
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.004 s
% 0.17/0.45  # System time              : 0.000 s
% 0.17/0.45  # Total time               : 0.004 s
% 0.17/0.45  # Maximum resident set size: 1616 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.005 s
% 0.17/0.45  # System time              : 0.001 s
% 0.17/0.45  # Total time               : 0.006 s
% 0.17/0.45  # Maximum resident set size: 1692 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------