TSTP Solution File: NUM139-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM139-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 18:45:57 EDT 2023

% Result   : Unsatisfiable 0.23s 0.55s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   5 unt;   3 nHn;   7 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.avJhtqOB1m/E---3.1_9531.p',intersection2) ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.avJhtqOB1m/E---3.1_9531.p',not_subclass_members1) ).

cnf(prove_complete_induction3_1,negated_conjecture,
    ~ member(not_subclass_element(intersection(power_class(x),z),x),z),
    file('/export/starexec/sandbox2/tmp/tmp.avJhtqOB1m/E---3.1_9531.p',prove_complete_induction3_1) ).

cnf(prove_complete_induction3_2,negated_conjecture,
    ~ subclass(intersection(power_class(x),z),x),
    file('/export/starexec/sandbox2/tmp/tmp.avJhtqOB1m/E---3.1_9531.p',prove_complete_induction3_2) ).

cnf(c_0_4,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    intersection2 ).

cnf(c_0_5,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    not_subclass_members1 ).

cnf(c_0_6,negated_conjecture,
    ~ member(not_subclass_element(intersection(power_class(x),z),x),z),
    prove_complete_induction3_1 ).

cnf(c_0_7,plain,
    ( member(not_subclass_element(intersection(X1,X2),X3),X2)
    | subclass(intersection(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ~ subclass(intersection(power_class(x),z),x),
    prove_complete_induction3_2 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : NUM139-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 14:31:16 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.avJhtqOB1m/E---3.1_9531.p
% 0.23/0.55  # Version: 3.1pre001
% 0.23/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.55  # Starting sh5l with 300s (1) cores
% 0.23/0.55  # new_bool_3 with pid 9610 completed with status 0
% 0.23/0.55  # Result found by new_bool_3
% 0.23/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.55  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.23/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.23/0.55  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 9613 completed with status 0
% 0.23/0.55  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.23/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.55  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.23/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.23/0.55  # Preprocessing time       : 0.003 s
% 0.23/0.55  # Presaturation interreduction done
% 0.23/0.55  
% 0.23/0.55  # Proof found!
% 0.23/0.55  # SZS status Unsatisfiable
% 0.23/0.55  # SZS output start CNFRefutation
% See solution above
% 0.23/0.55  # Parsed axioms                        : 160
% 0.23/0.55  # Removed by relevancy pruning/SinE    : 113
% 0.23/0.55  # Initial clauses                      : 47
% 0.23/0.55  # Removed in clause preprocessing      : 0
% 0.23/0.55  # Initial clauses in saturation        : 47
% 0.23/0.55  # Processed clauses                    : 193
% 0.23/0.55  # ...of these trivial                  : 3
% 0.23/0.55  # ...subsumed                          : 27
% 0.23/0.55  # ...remaining for further processing  : 163
% 0.23/0.55  # Other redundant clauses eliminated   : 2
% 0.23/0.55  # Clauses deleted for lack of memory   : 0
% 0.23/0.55  # Backward-subsumed                    : 0
% 0.23/0.55  # Backward-rewritten                   : 2
% 0.23/0.55  # Generated clauses                    : 367
% 0.23/0.55  # ...of the previous two non-redundant : 331
% 0.23/0.55  # ...aggressively subsumed             : 0
% 0.23/0.55  # Contextual simplify-reflections      : 0
% 0.23/0.55  # Paramodulations                      : 365
% 0.23/0.55  # Factorizations                       : 0
% 0.23/0.55  # NegExts                              : 0
% 0.23/0.55  # Equation resolutions                 : 2
% 0.23/0.55  # Total rewrite steps                  : 65
% 0.23/0.55  # Propositional unsat checks           : 0
% 0.23/0.55  #    Propositional check models        : 0
% 0.23/0.55  #    Propositional check unsatisfiable : 0
% 0.23/0.55  #    Propositional clauses             : 0
% 0.23/0.55  #    Propositional clauses after purity: 0
% 0.23/0.55  #    Propositional unsat core size     : 0
% 0.23/0.55  #    Propositional preprocessing time  : 0.000
% 0.23/0.55  #    Propositional encoding time       : 0.000
% 0.23/0.55  #    Propositional solver time         : 0.000
% 0.23/0.55  #    Success case prop preproc time    : 0.000
% 0.23/0.55  #    Success case prop encoding time   : 0.000
% 0.23/0.55  #    Success case prop solver time     : 0.000
% 0.23/0.55  # Current number of processed clauses  : 113
% 0.23/0.55  #    Positive orientable unit clauses  : 18
% 0.23/0.55  #    Positive unorientable unit clauses: 2
% 0.23/0.55  #    Negative unit clauses             : 2
% 0.23/0.55  #    Non-unit-clauses                  : 91
% 0.23/0.55  # Current number of unprocessed clauses: 207
% 0.23/0.55  # ...number of literals in the above   : 649
% 0.23/0.55  # Current number of archived formulas  : 0
% 0.23/0.55  # Current number of archived clauses   : 48
% 0.23/0.55  # Clause-clause subsumption calls (NU) : 1277
% 0.23/0.55  # Rec. Clause-clause subsumption calls : 966
% 0.23/0.55  # Non-unit clause-clause subsumptions  : 27
% 0.23/0.55  # Unit Clause-clause subsumption calls : 16
% 0.23/0.55  # Rewrite failures with RHS unbound    : 0
% 0.23/0.55  # BW rewrite match attempts            : 8
% 0.23/0.55  # BW rewrite match successes           : 1
% 0.23/0.55  # Condensation attempts                : 0
% 0.23/0.55  # Condensation successes               : 0
% 0.23/0.55  # Termbank termtop insertions          : 8323
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.018 s
% 0.23/0.55  # System time              : 0.003 s
% 0.23/0.55  # Total time               : 0.021 s
% 0.23/0.55  # Maximum resident set size: 2012 pages
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.022 s
% 0.23/0.55  # System time              : 0.006 s
% 0.23/0.55  # Total time               : 0.028 s
% 0.23/0.55  # Maximum resident set size: 1812 pages
% 0.23/0.55  % E---3.1 exiting
% 0.23/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------