TSTP Solution File: MGT053+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 : Sun Jul 17 22:06:50 EDT 2022

% Result   : Theorem 4.50s 2.24s
% Output   : CNFRefutation 4.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   27 (   6 unt;  14 nHn;  19 RR)
%            Number of literals    :   63 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( is_aligned(X1,X2)
    | is_aligned(X1,X3)
    | ~ dissimilar(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    ( dissimilar(esk1_0,esk2_0,esk3_0)
    | dissimilar(esk1_0,esk3_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_6) ).

cnf(i_0_5,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_5) ).

cnf(i_0_2,plain,
    ( is_aligned(X1,X2)
    | dissimilar(X1,X3,X2)
    | ~ organization(X1)
    | ~ is_aligned(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_2) ).

cnf(i_0_4,plain,
    ( ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3)
    | ~ dissimilar(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_4) ).

cnf(i_0_1,plain,
    ( is_aligned(X1,X2)
    | dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | ~ is_aligned(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_1) ).

cnf(i_0_7,negated_conjecture,
    ( ~ dissimilar(esk1_0,esk2_0,esk3_0)
    | ~ dissimilar(esk1_0,esk3_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fm9opiu5/input.p',i_0_7) ).

cnf(c_0_15,plain,
    ( is_aligned(X1,X2)
    | is_aligned(X1,X3)
    | ~ dissimilar(X1,X3,X2) ),
    i_0_3 ).

cnf(c_0_16,negated_conjecture,
    ( dissimilar(esk1_0,esk2_0,esk3_0)
    | dissimilar(esk1_0,esk3_0,esk2_0) ),
    i_0_6 ).

cnf(c_0_17,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    i_0_5 ).

cnf(c_0_18,plain,
    ( is_aligned(X1,X2)
    | dissimilar(X1,X3,X2)
    | ~ organization(X1)
    | ~ is_aligned(X1,X3) ),
    i_0_2 ).

cnf(c_0_19,negated_conjecture,
    ( is_aligned(esk1_0,esk3_0)
    | is_aligned(esk1_0,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    organization(esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_17]) ).

cnf(c_0_21,plain,
    ( is_aligned(esk1_0,esk2_0)
    | is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_22,plain,
    ( ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3)
    | ~ dissimilar(X1,X3,X2) ),
    i_0_4 ).

cnf(c_0_23,plain,
    ( is_aligned(X1,X2)
    | dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | ~ is_aligned(X1,X3) ),
    i_0_1 ).

cnf(c_0_24,plain,
    ( is_aligned(esk1_0,esk2_0)
    | dissimilar(esk1_0,esk3_0,esk2_0) ),
    inference(ef,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ is_aligned(esk1_0,esk3_0)
    | ~ is_aligned(esk1_0,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_22]) ).

cnf(c_0_26,plain,
    ( is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk3_0,esk2_0)
    | dissimilar(esk1_0,X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20])]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ dissimilar(esk1_0,esk2_0,esk3_0)
    | ~ dissimilar(esk1_0,esk3_0,esk2_0) ),
    i_0_7 ).

cnf(c_0_28,negated_conjecture,
    dissimilar(esk1_0,esk3_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]) ).

cnf(c_0_29,plain,
    ( is_aligned(esk1_0,esk2_0)
    | is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,X1,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_20])]) ).

cnf(c_0_30,negated_conjecture,
    ~ dissimilar(esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_31,plain,
    is_aligned(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_29]),c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ~ is_aligned(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_31])]) ).

cnf(c_0_33,plain,
    ( is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_31]),c_0_20])]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun  9 09:30:06 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.50/2.24  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 4.50/2.24  # Version: 2.1pre011
% 4.50/2.24  # Preprocessing time       : 0.011 s
% 4.50/2.24  
% 4.50/2.24  # Proof found!
% 4.50/2.24  # SZS status Theorem
% 4.50/2.24  # SZS output start CNFRefutation
% See solution above
% 4.50/2.24  # Proof object total steps             : 27
% 4.50/2.24  # Proof object clause steps            : 20
% 4.50/2.24  # Proof object formula steps           : 7
% 4.50/2.24  # Proof object conjectures             : 11
% 4.50/2.24  # Proof object clause conjectures      : 9
% 4.50/2.24  # Proof object formula conjectures     : 2
% 4.50/2.24  # Proof object initial clauses used    : 7
% 4.50/2.24  # Proof object initial formulas used   : 7
% 4.50/2.24  # Proof object generating inferences   : 11
% 4.50/2.24  # Proof object simplifying inferences  : 18
% 4.50/2.24  # Training examples: 0 positive, 0 negative
% 4.50/2.24  # Parsed axioms                        : 7
% 4.50/2.24  # Removed by relevancy pruning/SinE    : 0
% 4.50/2.24  # Initial clauses                      : 7
% 4.50/2.24  # Removed in clause preprocessing      : 0
% 4.50/2.24  # Initial clauses in saturation        : 7
% 4.50/2.24  # Processed clauses                    : 27
% 4.50/2.24  # ...of these trivial                  : 0
% 4.50/2.24  # ...subsumed                          : 5
% 4.50/2.24  # ...remaining for further processing  : 22
% 4.50/2.24  # Other redundant clauses eliminated   : 0
% 4.50/2.24  # Clauses deleted for lack of memory   : 0
% 4.50/2.24  # Backward-subsumed                    : 4
% 4.50/2.24  # Backward-rewritten                   : 6
% 4.50/2.24  # Generated clauses                    : 53
% 4.50/2.24  # ...of the previous two non-trivial   : 45
% 4.50/2.24  # Contextual simplify-reflections      : 5
% 4.50/2.24  # Paramodulations                      : 45
% 4.50/2.24  # Factorizations                       : 8
% 4.50/2.24  # Equation resolutions                 : 0
% 4.50/2.24  # Propositional unsat checks           : 0
% 4.50/2.24  # Propositional unsat check successes  : 0
% 4.50/2.24  # Current number of processed clauses  : 12
% 4.50/2.24  #    Positive orientable unit clauses  : 3
% 4.50/2.24  #    Positive unorientable unit clauses: 0
% 4.50/2.24  #    Negative unit clauses             : 2
% 4.50/2.24  #    Non-unit-clauses                  : 7
% 4.50/2.24  # Current number of unprocessed clauses: 1
% 4.50/2.24  # ...number of literals in the above   : 2
% 4.50/2.24  # Current number of archived formulas  : 0
% 4.50/2.24  # Current number of archived clauses   : 10
% 4.50/2.24  # Clause-clause subsumption calls (NU) : 44
% 4.50/2.24  # Rec. Clause-clause subsumption calls : 31
% 4.50/2.24  # Non-unit clause-clause subsumptions  : 10
% 4.50/2.24  # Unit Clause-clause subsumption calls : 7
% 4.50/2.24  # Rewrite failures with RHS unbound    : 0
% 4.50/2.24  # BW rewrite match attempts            : 3
% 4.50/2.24  # BW rewrite match successes           : 2
% 4.50/2.24  # Condensation attempts                : 0
% 4.50/2.24  # Condensation successes               : 0
% 4.50/2.24  # Termbank termtop insertions          : 766
% 4.50/2.24  
% 4.50/2.24  # -------------------------------------------------
% 4.50/2.24  # User time                : 0.007 s
% 4.50/2.24  # System time              : 0.004 s
% 4.50/2.24  # Total time               : 0.012 s
% 4.50/2.24  # ...preprocessing         : 0.011 s
% 4.50/2.24  # ...main loop             : 0.001 s
% 4.50/2.24  # Maximum resident set size: 7140 pages
% 4.50/2.24  
%------------------------------------------------------------------------------