TSTP Solution File: NUM228-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM228-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 08:58:59 EDT 2024

% Result   : Unsatisfiable 0.15s 0.44s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   7 unt;   3 nHn;  10 RR)
%            Number of literals    :   19 (   6 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    9 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(recursion_equation_functions1,axiom,
    ( function(X2)
    | ~ member(X1,recursion_equation_functions(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.uHrT7GDLne/E---3.1_15101.p',recursion_equation_functions1) ).

cnf(prove_corollary_2,negated_conjecture,
    recursion_equation_functions(z) != null_class,
    file('/export/starexec/sandbox/tmp/tmp.uHrT7GDLne/E---3.1_15101.p',prove_corollary_2) ).

cnf(regularity1,axiom,
    ( X1 = null_class
    | member(regular(X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.uHrT7GDLne/E---3.1_15101.p',regularity1) ).

cnf(prove_corollary_1,negated_conjecture,
    ~ function(z),
    file('/export/starexec/sandbox/tmp/tmp.uHrT7GDLne/E---3.1_15101.p',prove_corollary_1) ).

cnf(c_0_4,plain,
    ( function(X2)
    | ~ member(X1,recursion_equation_functions(X2)) ),
    inference(fof_simplification,[status(thm)],[recursion_equation_functions1]) ).

cnf(c_0_5,negated_conjecture,
    recursion_equation_functions(z) != null_class,
    inference(fof_simplification,[status(thm)],[prove_corollary_2]) ).

cnf(c_0_6,plain,
    ( function(X2)
    | ~ member(X1,recursion_equation_functions(X2)) ),
    c_0_4 ).

cnf(c_0_7,axiom,
    ( X1 = null_class
    | member(regular(X1),X1) ),
    regularity1 ).

cnf(c_0_8,negated_conjecture,
    ~ function(z),
    inference(fof_simplification,[status(thm)],[prove_corollary_1]) ).

cnf(c_0_9,negated_conjecture,
    recursion_equation_functions(z) != null_class,
    c_0_5 ).

cnf(c_0_10,plain,
    ( recursion_equation_functions(X1) = null_class
    | function(X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ function(z),
    c_0_8 ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : NUM228-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 09:37:09 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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.uHrT7GDLne/E---3.1_15101.p
% 0.15/0.44  # Version: 3.1.0
% 0.15/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # Starting sh5l with 300s (1) cores
% 0.15/0.44  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15178 completed with status 0
% 0.15/0.44  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.44  # No SInE strategy applied
% 0.15/0.44  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.15/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 308s (1) cores
% 0.15/0.44  # Starting sh5l with 304s (1) cores
% 0.15/0.44  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.44  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 15185 completed with status 0
% 0.15/0.44  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.44  # No SInE strategy applied
% 0.15/0.44  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.15/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.15/0.44  # Preprocessing time       : 0.003 s
% 0.15/0.44  # Presaturation interreduction done
% 0.15/0.44  
% 0.15/0.44  # Proof found!
% 0.15/0.44  # SZS status Unsatisfiable
% 0.15/0.44  # SZS output start CNFRefutation
% See solution above
% 0.15/0.44  # Parsed axioms                        : 160
% 0.15/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.44  # Initial clauses                      : 160
% 0.15/0.44  # Removed in clause preprocessing      : 19
% 0.15/0.44  # Initial clauses in saturation        : 141
% 0.15/0.44  # Processed clauses                    : 181
% 0.15/0.44  # ...of these trivial                  : 0
% 0.15/0.44  # ...subsumed                          : 0
% 0.15/0.44  # ...remaining for further processing  : 181
% 0.15/0.44  # Other redundant clauses eliminated   : 6
% 0.15/0.44  # Clauses deleted for lack of memory   : 0
% 0.15/0.44  # Backward-subsumed                    : 0
% 0.15/0.44  # Backward-rewritten                   : 0
% 0.15/0.44  # Generated clauses                    : 19
% 0.15/0.44  # ...of the previous two non-redundant : 13
% 0.15/0.44  # ...aggressively subsumed             : 0
% 0.15/0.44  # Contextual simplify-reflections      : 0
% 0.15/0.44  # Paramodulations                      : 13
% 0.15/0.44  # Factorizations                       : 0
% 0.15/0.44  # NegExts                              : 0
% 0.15/0.44  # Equation resolutions                 : 6
% 0.15/0.44  # Disequality decompositions           : 0
% 0.15/0.44  # Total rewrite steps                  : 2
% 0.15/0.44  # ...of those cached                   : 0
% 0.15/0.44  # Propositional unsat checks           : 0
% 0.15/0.44  #    Propositional check models        : 0
% 0.15/0.44  #    Propositional check unsatisfiable : 0
% 0.15/0.44  #    Propositional clauses             : 0
% 0.15/0.44  #    Propositional clauses after purity: 0
% 0.15/0.44  #    Propositional unsat core size     : 0
% 0.15/0.44  #    Propositional preprocessing time  : 0.000
% 0.15/0.44  #    Propositional encoding time       : 0.000
% 0.15/0.44  #    Propositional solver time         : 0.000
% 0.15/0.44  #    Success case prop preproc time    : 0.000
% 0.15/0.44  #    Success case prop encoding time   : 0.000
% 0.15/0.44  #    Success case prop solver time     : 0.000
% 0.15/0.44  # Current number of processed clauses  : 35
% 0.15/0.44  #    Positive orientable unit clauses  : 10
% 0.15/0.44  #    Positive unorientable unit clauses: 0
% 0.15/0.44  #    Negative unit clauses             : 2
% 0.15/0.44  #    Non-unit-clauses                  : 23
% 0.15/0.44  # Current number of unprocessed clauses: 113
% 0.15/0.44  # ...number of literals in the above   : 254
% 0.15/0.44  # Current number of archived formulas  : 0
% 0.15/0.44  # Current number of archived clauses   : 159
% 0.15/0.44  # Clause-clause subsumption calls (NU) : 2673
% 0.15/0.44  # Rec. Clause-clause subsumption calls : 1319
% 0.15/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.44  # Unit Clause-clause subsumption calls : 11
% 0.15/0.44  # Rewrite failures with RHS unbound    : 0
% 0.15/0.44  # BW rewrite match attempts            : 8
% 0.15/0.44  # BW rewrite match successes           : 2
% 0.15/0.44  # Condensation attempts                : 0
% 0.15/0.44  # Condensation successes               : 0
% 0.15/0.44  # Termbank termtop insertions          : 9619
% 0.15/0.44  # Search garbage collected termcells   : 289
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.019 s
% 0.15/0.44  # System time              : 0.003 s
% 0.15/0.44  # Total time               : 0.022 s
% 0.15/0.44  # Maximum resident set size: 2192 pages
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.074 s
% 0.15/0.44  # System time              : 0.009 s
% 0.15/0.44  # Total time               : 0.083 s
% 0.15/0.44  # Maximum resident set size: 1832 pages
% 0.15/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------