TSTP Solution File: GEO125+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 03:43:33 EDT 2022

% Result   : Theorem 7.98s 2.47s
% Output   : CNFRefutation 7.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   26 (  10 unt;   4 nHn;  26 RR)
%            Number of literals    :   50 (   9 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   52 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( X1 != X2
    | ~ between_c(X3,X1,X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_6) ).

cnf(i_0_60,plain,
    ( between_c(esk17_4(X1,X2,X3,X4),X1,X2,X3)
    | ~ between_o(X4,X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_60) ).

cnf(i_0_7,plain,
    ( between_o(X1,X2,X3,X4)
    | ~ ordered_by(X1,X3,X2)
    | ~ ordered_by(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_7) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | ordered_by(X3,X2,X1)
    | ~ finish_point(X1,X3)
    | ~ incident_o(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_41) ).

cnf(i_0_28,negated_conjecture,
    finish_point(esk11_0,esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_28) ).

cnf(i_0_53,plain,
    ( incident_o(X1,X2)
    | ~ ordered_by(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_53) ).

cnf(i_0_29,negated_conjecture,
    finish_point(esk10_0,esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_29) ).

cnf(i_0_42,plain,
    ( incident_o(X1,X2)
    | ~ finish_point(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_42) ).

cnf(i_0_27,negated_conjecture,
    esk11_0 != esk10_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f44wtvn6/input.p',i_0_27) ).

cnf(c_0_70,plain,
    ( X1 != X2
    | ~ between_c(X3,X1,X4,X2) ),
    i_0_6 ).

cnf(c_0_71,plain,
    ~ between_c(X1,X2,X3,X2),
    inference(er,[status(thm)],[c_0_70]) ).

cnf(c_0_72,plain,
    ( between_c(esk17_4(X1,X2,X3,X4),X1,X2,X3)
    | ~ between_o(X4,X1,X2,X3) ),
    i_0_60 ).

cnf(c_0_73,plain,
    ~ between_o(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_74,plain,
    ( between_o(X1,X2,X3,X4)
    | ~ ordered_by(X1,X3,X2)
    | ~ ordered_by(X1,X4,X3) ),
    i_0_7 ).

cnf(c_0_75,plain,
    ( X1 = X2
    | ordered_by(X3,X2,X1)
    | ~ finish_point(X1,X3)
    | ~ incident_o(X2,X3) ),
    i_0_41 ).

cnf(c_0_76,negated_conjecture,
    finish_point(esk11_0,esk9_0),
    i_0_28 ).

cnf(c_0_77,plain,
    ( ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    ( esk11_0 = X1
    | ordered_by(esk9_0,X1,esk11_0)
    | ~ incident_o(X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,plain,
    ( incident_o(X1,X2)
    | ~ ordered_by(X2,X3,X1) ),
    i_0_53 ).

cnf(c_0_80,negated_conjecture,
    finish_point(esk10_0,esk9_0),
    i_0_29 ).

cnf(c_0_81,plain,
    ( incident_o(X1,X2)
    | ~ finish_point(X1,X2) ),
    i_0_42 ).

cnf(c_0_82,negated_conjecture,
    ( esk11_0 = X1
    | ~ ordered_by(esk9_0,esk11_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    ( esk10_0 = X1
    | ordered_by(esk9_0,X1,esk10_0)
    | ~ incident_o(X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    incident_o(esk11_0,esk9_0),
    inference(spm,[status(thm)],[c_0_81,c_0_76]) ).

cnf(c_0_85,negated_conjecture,
    esk11_0 != esk10_0,
    i_0_27 ).

cnf(c_0_86,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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 20:47:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.98/2.47  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.98/2.47  # Version: 2.1pre011
% 7.98/2.47  # Preprocessing time       : 0.021 s
% 7.98/2.47  
% 7.98/2.47  # Proof found!
% 7.98/2.47  # SZS status Theorem
% 7.98/2.47  # SZS output start CNFRefutation
% See solution above
% 7.98/2.47  # Proof object total steps             : 26
% 7.98/2.47  # Proof object clause steps            : 17
% 7.98/2.47  # Proof object formula steps           : 9
% 7.98/2.47  # Proof object conjectures             : 11
% 7.98/2.47  # Proof object clause conjectures      : 8
% 7.98/2.47  # Proof object formula conjectures     : 3
% 7.98/2.47  # Proof object initial clauses used    : 9
% 7.98/2.47  # Proof object initial formulas used   : 9
% 7.98/2.47  # Proof object generating inferences   : 7
% 7.98/2.47  # Proof object simplifying inferences  : 5
% 7.98/2.47  # Training examples: 0 positive, 0 negative
% 7.98/2.47  # Parsed axioms                        : 88
% 7.98/2.47  # Removed by relevancy pruning/SinE    : 0
% 7.98/2.47  # Initial clauses                      : 88
% 7.98/2.47  # Removed in clause preprocessing      : 0
% 7.98/2.47  # Initial clauses in saturation        : 88
% 7.98/2.47  # Processed clauses                    : 111
% 7.98/2.47  # ...of these trivial                  : 0
% 7.98/2.47  # ...subsumed                          : 2
% 7.98/2.47  # ...remaining for further processing  : 109
% 7.98/2.47  # Other redundant clauses eliminated   : 4
% 7.98/2.47  # Clauses deleted for lack of memory   : 0
% 7.98/2.47  # Backward-subsumed                    : 0
% 7.98/2.47  # Backward-rewritten                   : 0
% 7.98/2.47  # Generated clauses                    : 199
% 7.98/2.47  # ...of the previous two non-trivial   : 163
% 7.98/2.47  # Contextual simplify-reflections      : 2
% 7.98/2.47  # Paramodulations                      : 182
% 7.98/2.47  # Factorizations                       : 10
% 7.98/2.47  # Equation resolutions                 : 7
% 7.98/2.47  # Propositional unsat checks           : 0
% 7.98/2.47  # Propositional unsat check successes  : 0
% 7.98/2.47  # Current number of processed clauses  : 108
% 7.98/2.47  #    Positive orientable unit clauses  : 10
% 7.98/2.47  #    Positive unorientable unit clauses: 0
% 7.98/2.47  #    Negative unit clauses             : 8
% 7.98/2.47  #    Non-unit-clauses                  : 90
% 7.98/2.47  # Current number of unprocessed clauses: 139
% 7.98/2.47  # ...number of literals in the above   : 622
% 7.98/2.47  # Current number of archived formulas  : 0
% 7.98/2.47  # Current number of archived clauses   : 0
% 7.98/2.47  # Clause-clause subsumption calls (NU) : 1420
% 7.98/2.47  # Rec. Clause-clause subsumption calls : 571
% 7.98/2.47  # Non-unit clause-clause subsumptions  : 4
% 7.98/2.47  # Unit Clause-clause subsumption calls : 554
% 7.98/2.47  # Rewrite failures with RHS unbound    : 0
% 7.98/2.47  # BW rewrite match attempts            : 15
% 7.98/2.47  # BW rewrite match successes           : 0
% 7.98/2.47  # Condensation attempts                : 0
% 7.98/2.47  # Condensation successes               : 0
% 7.98/2.47  # Termbank termtop insertions          : 4380
% 7.98/2.47  
% 7.98/2.47  # -------------------------------------------------
% 7.98/2.47  # User time                : 0.026 s
% 7.98/2.47  # System time              : 0.004 s
% 7.98/2.47  # Total time               : 0.030 s
% 7.98/2.47  # ...preprocessing         : 0.021 s
% 7.98/2.47  # ...main loop             : 0.009 s
% 7.98/2.47  # Maximum resident set size: 7128 pages
% 7.98/2.47  
%------------------------------------------------------------------------------