TSTP Solution File: GEO094+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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  : 600s
% DateTime : Sat Jul 16 03:43:19 EDT 2022

% Result   : Theorem 4.49s 2.26s
% Output   : CNFRefutation 4.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  19 unt;   3 nHn;  37 RR)
%            Number of literals    :   88 (   0 equ;  53 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   61 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,plain,
    ( ~ end_point(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_24) ).

cnf(i_0_3,plain,
    inner_point(esk1_1(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_3) ).

cnf(i_0_29,plain,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X2)
    | ~ meet(X4,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_29) ).

cnf(i_0_41,negated_conjecture,
    meet(esk16_0,esk14_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_41) ).

cnf(i_0_25,plain,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_25) ).

cnf(i_0_30,plain,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X2)
    | ~ meet(X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_30) ).

cnf(i_0_31,plain,
    ( incident_c(X1,X2)
    | ~ meet(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_31) ).

cnf(i_0_37,plain,
    ( incident_c(X1,X2)
    | ~ part_of(X3,X2)
    | ~ incident_c(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_37) ).

cnf(i_0_21,plain,
    ( part_of(X1,X2)
    | part_of(X2,X1)
    | ~ part_of(X1,X3)
    | ~ part_of(X2,X3)
    | ~ end_point(X4,X3)
    | ~ incident_c(X4,X1)
    | ~ incident_c(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_21) ).

cnf(i_0_32,plain,
    ( incident_c(X1,X2)
    | ~ meet(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_32) ).

cnf(i_0_40,negated_conjecture,
    part_of(esk14_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_40) ).

cnf(i_0_38,negated_conjecture,
    end_point(esk16_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_38) ).

cnf(i_0_39,negated_conjecture,
    part_of(esk15_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7h8zcxn6/input.p',i_0_39) ).

cnf(c_0_55,plain,
    ( ~ end_point(X1,X2)
    | ~ inner_point(X1,X2) ),
    i_0_24 ).

cnf(c_0_56,plain,
    inner_point(esk1_1(X1),X1),
    i_0_3 ).

cnf(c_0_57,plain,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X2)
    | ~ meet(X4,X3,X2) ),
    i_0_29 ).

cnf(c_0_58,negated_conjecture,
    meet(esk16_0,esk14_0,esk15_0),
    i_0_41 ).

cnf(c_0_59,plain,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    i_0_25 ).

cnf(c_0_60,plain,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X2)
    | ~ meet(X4,X2,X3) ),
    i_0_30 ).

cnf(c_0_61,plain,
    ( incident_c(X1,X2)
    | ~ meet(X1,X3,X2) ),
    i_0_31 ).

cnf(c_0_62,plain,
    ~ end_point(esk1_1(X1),X1),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    ( end_point(X1,esk15_0)
    | ~ incident_c(X1,esk14_0)
    | ~ incident_c(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,plain,
    incident_c(esk1_1(X1),X1),
    inference(spm,[status(thm)],[c_0_59,c_0_56]) ).

cnf(c_0_65,plain,
    ( incident_c(X1,X2)
    | ~ part_of(X3,X2)
    | ~ incident_c(X1,X3) ),
    i_0_37 ).

cnf(c_0_66,negated_conjecture,
    ( end_point(X1,esk14_0)
    | ~ incident_c(X1,esk15_0)
    | ~ incident_c(X1,esk14_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_58]) ).

cnf(c_0_67,plain,
    ( part_of(X1,X2)
    | part_of(X2,X1)
    | ~ part_of(X1,X3)
    | ~ part_of(X2,X3)
    | ~ end_point(X4,X3)
    | ~ incident_c(X4,X1)
    | ~ incident_c(X4,X2) ),
    i_0_21 ).

cnf(c_0_68,negated_conjecture,
    incident_c(esk16_0,esk15_0),
    inference(spm,[status(thm)],[c_0_61,c_0_58]) ).

cnf(c_0_69,plain,
    ( incident_c(X1,X2)
    | ~ meet(X1,X2,X3) ),
    i_0_32 ).

cnf(c_0_70,plain,
    ~ incident_c(esk1_1(esk15_0),esk14_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

cnf(c_0_71,plain,
    ( incident_c(esk1_1(X1),X2)
    | ~ part_of(X1,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_64]) ).

cnf(c_0_72,plain,
    ~ incident_c(esk1_1(esk14_0),esk15_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_64])]) ).

cnf(c_0_73,plain,
    ( part_of(esk15_0,X1)
    | part_of(X1,esk15_0)
    | ~ incident_c(esk16_0,X1)
    | ~ end_point(esk16_0,X2)
    | ~ part_of(esk15_0,X2)
    | ~ part_of(X1,X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    incident_c(esk16_0,esk14_0),
    inference(spm,[status(thm)],[c_0_69,c_0_58]) ).

cnf(c_0_75,plain,
    ~ part_of(esk15_0,esk14_0),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,plain,
    ~ part_of(esk14_0,esk15_0),
    inference(spm,[status(thm)],[c_0_72,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ end_point(esk16_0,X1)
    | ~ part_of(esk15_0,X1)
    | ~ part_of(esk14_0,X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    part_of(esk14_0,esk13_0),
    i_0_40 ).

cnf(c_0_79,negated_conjecture,
    end_point(esk16_0,esk13_0),
    i_0_38 ).

cnf(c_0_80,negated_conjecture,
    part_of(esk15_0,esk13_0),
    i_0_39 ).

cnf(c_0_81,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 16:01:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.49/2.26  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 4.49/2.26  # Version: 2.1pre011
% 4.49/2.26  # Preprocessing time       : 0.010 s
% 4.49/2.26  
% 4.49/2.26  # Proof found!
% 4.49/2.26  # SZS status Theorem
% 4.49/2.26  # SZS output start CNFRefutation
% See solution above
% 4.49/2.26  # Proof object total steps             : 40
% 4.49/2.26  # Proof object clause steps            : 27
% 4.49/2.26  # Proof object formula steps           : 13
% 4.49/2.26  # Proof object conjectures             : 14
% 4.49/2.26  # Proof object clause conjectures      : 10
% 4.49/2.26  # Proof object formula conjectures     : 4
% 4.49/2.26  # Proof object initial clauses used    : 13
% 4.49/2.26  # Proof object initial formulas used   : 13
% 4.49/2.26  # Proof object generating inferences   : 14
% 4.49/2.26  # Proof object simplifying inferences  : 9
% 4.49/2.26  # Training examples: 0 positive, 0 negative
% 4.49/2.26  # Parsed axioms                        : 47
% 4.49/2.26  # Removed by relevancy pruning/SinE    : 0
% 4.49/2.26  # Initial clauses                      : 47
% 4.49/2.26  # Removed in clause preprocessing      : 0
% 4.49/2.26  # Initial clauses in saturation        : 47
% 4.49/2.26  # Processed clauses                    : 105
% 4.49/2.26  # ...of these trivial                  : 0
% 4.49/2.26  # ...subsumed                          : 3
% 4.49/2.26  # ...remaining for further processing  : 102
% 4.49/2.26  # Other redundant clauses eliminated   : 3
% 4.49/2.26  # Clauses deleted for lack of memory   : 0
% 4.49/2.26  # Backward-subsumed                    : 0
% 4.49/2.26  # Backward-rewritten                   : 0
% 4.49/2.26  # Generated clauses                    : 381
% 4.49/2.26  # ...of the previous two non-trivial   : 319
% 4.49/2.26  # Contextual simplify-reflections      : 1
% 4.49/2.26  # Paramodulations                      : 306
% 4.49/2.26  # Factorizations                       : 68
% 4.49/2.26  # Equation resolutions                 : 7
% 4.49/2.26  # Propositional unsat checks           : 0
% 4.49/2.26  # Propositional unsat check successes  : 0
% 4.49/2.26  # Current number of processed clauses  : 102
% 4.49/2.26  #    Positive orientable unit clauses  : 16
% 4.49/2.26  #    Positive unorientable unit clauses: 0
% 4.49/2.26  #    Negative unit clauses             : 6
% 4.49/2.26  #    Non-unit-clauses                  : 80
% 4.49/2.26  # Current number of unprocessed clauses: 260
% 4.49/2.26  # ...number of literals in the above   : 1111
% 4.49/2.26  # Current number of archived formulas  : 0
% 4.49/2.26  # Current number of archived clauses   : 0
% 4.49/2.26  # Clause-clause subsumption calls (NU) : 1043
% 4.49/2.26  # Rec. Clause-clause subsumption calls : 598
% 4.49/2.26  # Non-unit clause-clause subsumptions  : 3
% 4.49/2.26  # Unit Clause-clause subsumption calls : 136
% 4.49/2.26  # Rewrite failures with RHS unbound    : 0
% 4.49/2.26  # BW rewrite match attempts            : 18
% 4.49/2.26  # BW rewrite match successes           : 0
% 4.49/2.26  # Condensation attempts                : 0
% 4.49/2.26  # Condensation successes               : 0
% 4.49/2.26  # Termbank termtop insertions          : 6001
% 4.49/2.26  
% 4.49/2.26  # -------------------------------------------------
% 4.49/2.26  # User time                : 0.013 s
% 4.49/2.26  # System time              : 0.002 s
% 4.49/2.26  # Total time               : 0.015 s
% 4.49/2.26  # ...preprocessing         : 0.010 s
% 4.49/2.26  # ...main loop             : 0.006 s
% 4.49/2.26  # Maximum resident set size: 7132 pages
% 4.49/2.26  
%------------------------------------------------------------------------------