TSTP Solution File: SET108+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Tue Jul 19 00:09:34 EDT 2022

% Result   : Theorem 9.60s 2.68s
% Output   : CNFRefutation 9.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   2 unt;   0 nHn;  11 RR)
%            Number of literals    :   28 (  19 equ;  21 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_29,negated_conjecture,
    ( unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))) != esk3_0
    | ~ member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mm3ruajt/input.p',i_0_29) ).

cnf(i_0_26,negated_conjecture,
    ( unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),unordered_pair(esk5_2(X1,X2),esk5_2(X1,X2)))) = esk3_0
    | X2 != esk3_0
    | X1 != esk3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mm3ruajt/input.p',i_0_26) ).

cnf(i_0_28,negated_conjecture,
    ( member(esk4_2(X1,X2),universal_class)
    | X2 != esk3_0
    | X1 != esk3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mm3ruajt/input.p',i_0_28) ).

cnf(i_0_27,negated_conjecture,
    ( member(esk5_2(X1,X2),universal_class)
    | X2 != esk3_0
    | X1 != esk3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mm3ruajt/input.p',i_0_27) ).

cnf(c_0_34,negated_conjecture,
    ( unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))) != esk3_0
    | ~ member(X2,universal_class)
    | ~ member(X1,universal_class) ),
    i_0_29 ).

cnf(c_0_35,negated_conjecture,
    ( unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),unordered_pair(esk5_2(X1,X2),esk5_2(X1,X2)))) = esk3_0
    | X2 != esk3_0
    | X1 != esk3_0 ),
    i_0_26 ).

cnf(c_0_36,negated_conjecture,
    ( member(esk4_2(X1,X2),universal_class)
    | X2 != esk3_0
    | X1 != esk3_0 ),
    i_0_28 ).

cnf(c_0_37,negated_conjecture,
    ( member(esk5_2(X1,X2),universal_class)
    | X2 != esk3_0
    | X1 != esk3_0 ),
    i_0_27 ).

cnf(c_0_38,negated_conjecture,
    ( X1 != esk3_0
    | X2 != esk3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    X1 != esk3_0,
    inference(er,[status(thm)],[c_0_38]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(er,[status(thm)],[c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 09:49:03 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.17/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.60/2.68  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 9.60/2.68  # Version: 2.1pre011
% 9.60/2.68  # Preprocessing time       : 0.015 s
% 9.60/2.68  
% 9.60/2.68  # Proof found!
% 9.60/2.68  # SZS status Theorem
% 9.60/2.68  # SZS output start CNFRefutation
% See solution above
% 9.60/2.68  # Proof object total steps             : 11
% 9.60/2.68  # Proof object clause steps            : 7
% 9.60/2.68  # Proof object formula steps           : 4
% 9.60/2.68  # Proof object conjectures             : 11
% 9.60/2.68  # Proof object clause conjectures      : 7
% 9.60/2.68  # Proof object formula conjectures     : 4
% 9.60/2.68  # Proof object initial clauses used    : 4
% 9.60/2.68  # Proof object initial formulas used   : 4
% 9.60/2.68  # Proof object generating inferences   : 3
% 9.60/2.68  # Proof object simplifying inferences  : 2
% 9.60/2.68  # Training examples: 0 positive, 0 negative
% 9.60/2.68  # Parsed axioms                        : 85
% 9.60/2.68  # Removed by relevancy pruning/SinE    : 0
% 9.60/2.68  # Initial clauses                      : 85
% 9.60/2.68  # Removed in clause preprocessing      : 0
% 9.60/2.68  # Initial clauses in saturation        : 85
% 9.60/2.68  # Processed clauses                    : 106
% 9.60/2.68  # ...of these trivial                  : 2
% 9.60/2.68  # ...subsumed                          : 2
% 9.60/2.68  # ...remaining for further processing  : 102
% 9.60/2.68  # Other redundant clauses eliminated   : 7
% 9.60/2.68  # Clauses deleted for lack of memory   : 0
% 9.60/2.68  # Backward-subsumed                    : 7
% 9.60/2.68  # Backward-rewritten                   : 1
% 9.60/2.68  # Generated clauses                    : 307
% 9.60/2.68  # ...of the previous two non-trivial   : 273
% 9.60/2.68  # Contextual simplify-reflections      : 2
% 9.60/2.68  # Paramodulations                      : 294
% 9.60/2.68  # Factorizations                       : 2
% 9.60/2.68  # Equation resolutions                 : 11
% 9.60/2.68  # Propositional unsat checks           : 0
% 9.60/2.68  # Propositional unsat check successes  : 0
% 9.60/2.68  # Current number of processed clauses  : 90
% 9.60/2.68  #    Positive orientable unit clauses  : 17
% 9.60/2.68  #    Positive unorientable unit clauses: 0
% 9.60/2.68  #    Negative unit clauses             : 2
% 9.60/2.68  #    Non-unit-clauses                  : 71
% 9.60/2.68  # Current number of unprocessed clauses: 186
% 9.60/2.68  # ...number of literals in the above   : 516
% 9.60/2.68  # Current number of archived formulas  : 0
% 9.60/2.68  # Current number of archived clauses   : 8
% 9.60/2.68  # Clause-clause subsumption calls (NU) : 830
% 9.60/2.68  # Rec. Clause-clause subsumption calls : 739
% 9.60/2.68  # Non-unit clause-clause subsumptions  : 11
% 9.60/2.68  # Unit Clause-clause subsumption calls : 93
% 9.60/2.68  # Rewrite failures with RHS unbound    : 0
% 9.60/2.68  # BW rewrite match attempts            : 14
% 9.60/2.68  # BW rewrite match successes           : 1
% 9.60/2.68  # Condensation attempts                : 0
% 9.60/2.68  # Condensation successes               : 0
% 9.60/2.68  # Termbank termtop insertions          : 8875
% 9.60/2.68  
% 9.60/2.68  # -------------------------------------------------
% 9.60/2.68  # User time                : 0.021 s
% 9.60/2.68  # System time              : 0.000 s
% 9.60/2.68  # Total time               : 0.021 s
% 9.60/2.68  # ...preprocessing         : 0.015 s
% 9.60/2.68  # ...main loop             : 0.006 s
% 9.60/2.68  # Maximum resident set size: 7132 pages
% 9.60/2.68  
%------------------------------------------------------------------------------