TSTP Solution File: HAL003+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 12:45:05 EDT 2022

% Result   : Theorem 8.72s 2.56s
% Output   : CNFRefutation 8.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (   5 unt;   2 nHn;  20 RR)
%            Number of literals    :   47 (   6 equ;  29 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_52,plain,
    ( surjection(X1)
    | apply(X1,X2) != esk14_3(X1,X3,X4)
    | ~ element(X2,X3)
    | ~ morphism(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_52) ).

cnf(i_0_56,plain,
    ( element(subtract(X1,X2,X3),X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_56) ).

cnf(i_0_25,plain,
    ( apply(g,subtract(b,esk2_1(X1),esk3_1(X1))) = X1
    | ~ element(X1,e) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_25) ).

cnf(i_0_21,negated_conjecture,
    ~ surjection(g),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_21) ).

cnf(i_0_27,plain,
    ( element(esk2_1(X1),b)
    | ~ element(X1,e) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_27) ).

cnf(i_0_26,plain,
    ( element(esk3_1(X1),b)
    | ~ element(X1,e) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_26) ).

cnf(i_0_53,plain,
    ( surjection(X1)
    | element(esk14_3(X1,X2,X3),X3)
    | ~ morphism(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_53) ).

cnf(i_0_20,plain,
    morphism(g,b,e),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bpmeqt5f/input.p',i_0_20) ).

cnf(c_0_65,plain,
    ( surjection(X1)
    | apply(X1,X2) != esk14_3(X1,X3,X4)
    | ~ element(X2,X3)
    | ~ morphism(X1,X3,X4) ),
    i_0_52 ).

cnf(c_0_66,plain,
    ( element(subtract(X1,X2,X3),X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_56 ).

cnf(c_0_67,plain,
    ( surjection(X1)
    | apply(X1,subtract(X2,X3,X4)) != esk14_3(X1,X2,X5)
    | ~ element(X4,X2)
    | ~ element(X3,X2)
    | ~ morphism(X1,X2,X5) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_68,plain,
    ( apply(g,subtract(b,esk2_1(X1),esk3_1(X1))) = X1
    | ~ element(X1,e) ),
    i_0_25 ).

cnf(c_0_69,negated_conjecture,
    ~ surjection(g),
    i_0_21 ).

cnf(c_0_70,plain,
    ( element(esk2_1(X1),b)
    | ~ element(X1,e) ),
    i_0_27 ).

cnf(c_0_71,plain,
    ( element(esk3_1(X1),b)
    | ~ element(X1,e) ),
    i_0_26 ).

cnf(c_0_72,plain,
    ( X1 != esk14_3(g,b,X2)
    | ~ element(X1,e)
    | ~ morphism(g,b,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).

cnf(c_0_73,plain,
    ( ~ element(esk14_3(g,b,X1),e)
    | ~ morphism(g,b,X1) ),
    inference(er,[status(thm)],[c_0_72]) ).

cnf(c_0_74,plain,
    ( surjection(X1)
    | element(esk14_3(X1,X2,X3),X3)
    | ~ morphism(X1,X2,X3) ),
    i_0_53 ).

cnf(c_0_75,plain,
    morphism(g,b,e),
    i_0_20 ).

cnf(c_0_76,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jun  7 21:31:52 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.47  # ENIGMATIC: Selected SinE mode:
% 0.22/0.48  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.72/2.56  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.72/2.56  # Version: 2.1pre011
% 8.72/2.56  # Preprocessing time       : 0.011 s
% 8.72/2.56  
% 8.72/2.56  # Proof found!
% 8.72/2.56  # SZS status Theorem
% 8.72/2.56  # SZS output start CNFRefutation
% See solution above
% 8.72/2.56  # Proof object total steps             : 20
% 8.72/2.56  # Proof object clause steps            : 12
% 8.72/2.56  # Proof object formula steps           : 8
% 8.72/2.56  # Proof object conjectures             : 2
% 8.72/2.56  # Proof object clause conjectures      : 1
% 8.72/2.56  # Proof object formula conjectures     : 1
% 8.72/2.56  # Proof object initial clauses used    : 8
% 8.72/2.56  # Proof object initial formulas used   : 8
% 8.72/2.56  # Proof object generating inferences   : 4
% 8.72/2.56  # Proof object simplifying inferences  : 6
% 8.72/2.56  # Training examples: 0 positive, 0 negative
% 8.72/2.56  # Parsed axioms                        : 59
% 8.72/2.56  # Removed by relevancy pruning/SinE    : 0
% 8.72/2.56  # Initial clauses                      : 59
% 8.72/2.56  # Removed in clause preprocessing      : 0
% 8.72/2.56  # Initial clauses in saturation        : 59
% 8.72/2.56  # Processed clauses                    : 77
% 8.72/2.56  # ...of these trivial                  : 0
% 8.72/2.56  # ...subsumed                          : 1
% 8.72/2.56  # ...remaining for further processing  : 76
% 8.72/2.56  # Other redundant clauses eliminated   : 0
% 8.72/2.56  # Clauses deleted for lack of memory   : 0
% 8.72/2.56  # Backward-subsumed                    : 0
% 8.72/2.56  # Backward-rewritten                   : 0
% 8.72/2.56  # Generated clauses                    : 170
% 8.72/2.56  # ...of the previous two non-trivial   : 157
% 8.72/2.56  # Contextual simplify-reflections      : 3
% 8.72/2.56  # Paramodulations                      : 168
% 8.72/2.56  # Factorizations                       : 0
% 8.72/2.56  # Equation resolutions                 : 2
% 8.72/2.56  # Propositional unsat checks           : 0
% 8.72/2.56  # Propositional unsat check successes  : 0
% 8.72/2.56  # Current number of processed clauses  : 76
% 8.72/2.56  #    Positive orientable unit clauses  : 19
% 8.72/2.56  #    Positive unorientable unit clauses: 0
% 8.72/2.56  #    Negative unit clauses             : 1
% 8.72/2.56  #    Non-unit-clauses                  : 56
% 8.72/2.56  # Current number of unprocessed clauses: 139
% 8.72/2.56  # ...number of literals in the above   : 532
% 8.72/2.56  # Current number of archived formulas  : 0
% 8.72/2.56  # Current number of archived clauses   : 0
% 8.72/2.56  # Clause-clause subsumption calls (NU) : 308
% 8.72/2.56  # Rec. Clause-clause subsumption calls : 94
% 8.72/2.56  # Non-unit clause-clause subsumptions  : 4
% 8.72/2.56  # Unit Clause-clause subsumption calls : 2
% 8.72/2.56  # Rewrite failures with RHS unbound    : 0
% 8.72/2.56  # BW rewrite match attempts            : 0
% 8.72/2.56  # BW rewrite match successes           : 0
% 8.72/2.56  # Condensation attempts                : 0
% 8.72/2.56  # Condensation successes               : 0
% 8.72/2.56  # Termbank termtop insertions          : 4465
% 8.72/2.56  
% 8.72/2.56  # -------------------------------------------------
% 8.72/2.56  # User time                : 0.011 s
% 8.72/2.56  # System time              : 0.004 s
% 8.72/2.56  # Total time               : 0.015 s
% 8.72/2.56  # ...preprocessing         : 0.011 s
% 8.72/2.56  # ...main loop             : 0.004 s
% 8.72/2.56  # Maximum resident set size: 7124 pages
% 8.72/2.56  
%------------------------------------------------------------------------------