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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR116+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 : Fri Jul 15 02:49:35 EDT 2022

% Result   : Theorem 7.73s 2.74s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   56 (  30 unt;   0 nHn;  54 RR)
%            Number of literals    :  203 (   0 equ; 162 neg)
%            Maximal clause size   :   16 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  19 con; 0-3 aty)
%            Number of variables   :  111 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_857,negated_conjecture,
    ( ~ sub(X1,X2)
    | ~ obj(X3,X4)
    | ~ arg1(X5,X4)
    | ~ arg2(X5,X1)
    | ~ attr(X6,X7)
    | ~ attr(X4,X8)
    | ~ attr(X4,X9)
    | ~ sub(X7,name_1_1)
    | ~ sub(X8,eigenname_1_1)
    | ~ sub(X9,familiename_1_1)
    | ~ prop(X1,schwarz_1_1)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0)
    | ~ pmod(X2,erst_1_1,pr__344sident_1_1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_857) ).

cnf(i_0_360,hypothesis,
    pmod(c183,erst_1_1,pr__344sident_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_360) ).

cnf(i_0_344,hypothesis,
    val(c195,mandela_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_344) ).

cnf(i_0_345,hypothesis,
    sub(c195,familiename_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_345) ).

cnf(i_0_346,hypothesis,
    val(c194,nelson_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_346) ).

cnf(i_0_347,hypothesis,
    sub(c194,eigenname_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_347) ).

cnf(i_0_355,hypothesis,
    val(c188,s__374dafrika_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_355) ).

cnf(i_0_356,hypothesis,
    sub(c188,name_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_356) ).

cnf(i_0_351,hypothesis,
    attr(c193,c195),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_351) ).

cnf(i_0_352,hypothesis,
    attr(c193,c194),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_352) ).

cnf(i_0_358,hypothesis,
    attr(c187,c188),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_358) ).

cnf(i_0_694,plain,
    ( subr(esk22_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_694) ).

cnf(i_0_699,plain,
    ( arg1(esk22_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_699) ).

cnf(i_0_698,plain,
    ( arg2(esk22_3(X1,X2,X3),X3)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_698) ).

cnf(i_0_349,hypothesis,
    prop(c193,schwarz_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_349) ).

cnf(i_0_348,hypothesis,
    sub(c193,c183),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_348) ).

cnf(i_0_38,plain,
    ( arg2(esk7_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_38) ).

cnf(i_0_37,plain,
    ( subs(esk7_3(X1,X2,X3),hei__337en_1_1)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_37) ).

cnf(i_0_39,plain,
    ( arg1(esk7_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_39) ).

cnf(i_0_727,plain,
    member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_727) ).

cnf(i_0_337,hypothesis,
    obj(c43,c193),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qaw_85og/input.p',i_0_337) ).

cnf(c_0_879,negated_conjecture,
    ( ~ sub(X1,X2)
    | ~ obj(X3,X4)
    | ~ arg1(X5,X4)
    | ~ arg2(X5,X1)
    | ~ attr(X6,X7)
    | ~ attr(X4,X8)
    | ~ attr(X4,X9)
    | ~ sub(X7,name_1_1)
    | ~ sub(X8,eigenname_1_1)
    | ~ sub(X9,familiename_1_1)
    | ~ prop(X1,schwarz_1_1)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0)
    | ~ pmod(X2,erst_1_1,pr__344sident_1_1) ),
    i_0_857 ).

cnf(c_0_880,hypothesis,
    pmod(c183,erst_1_1,pr__344sident_1_1),
    i_0_360 ).

cnf(c_0_881,hypothesis,
    ( ~ val(X1,mandela_0)
    | ~ val(X2,nelson_0)
    | ~ val(X3,s__374dafrika_0)
    | ~ attr(X4,X3)
    | ~ attr(X5,X1)
    | ~ attr(X5,X2)
    | ~ subr(X6,rprs_0)
    | ~ prop(X7,schwarz_1_1)
    | ~ arg2(X6,X7)
    | ~ arg1(X6,X5)
    | ~ obj(X8,X5)
    | ~ sub(X1,familiename_1_1)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,name_1_1)
    | ~ sub(X7,c183) ),
    inference(spm,[status(thm)],[c_0_879,c_0_880]) ).

cnf(c_0_882,hypothesis,
    val(c195,mandela_0),
    i_0_344 ).

cnf(c_0_883,hypothesis,
    sub(c195,familiename_1_1),
    i_0_345 ).

cnf(c_0_884,hypothesis,
    ( ~ val(X1,nelson_0)
    | ~ val(X2,s__374dafrika_0)
    | ~ attr(X3,c195)
    | ~ attr(X4,X2)
    | ~ attr(X3,X1)
    | ~ subr(X5,rprs_0)
    | ~ prop(X6,schwarz_1_1)
    | ~ arg2(X5,X6)
    | ~ arg1(X5,X3)
    | ~ obj(X7,X3)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(X2,name_1_1)
    | ~ sub(X6,c183) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_882]),c_0_883])]) ).

cnf(c_0_885,hypothesis,
    val(c194,nelson_0),
    i_0_346 ).

cnf(c_0_886,hypothesis,
    sub(c194,eigenname_1_1),
    i_0_347 ).

cnf(c_0_887,hypothesis,
    ( ~ val(X1,s__374dafrika_0)
    | ~ attr(X2,c195)
    | ~ attr(X2,c194)
    | ~ attr(X3,X1)
    | ~ subr(X4,rprs_0)
    | ~ prop(X5,schwarz_1_1)
    | ~ arg2(X4,X5)
    | ~ arg1(X4,X2)
    | ~ obj(X6,X2)
    | ~ sub(X1,name_1_1)
    | ~ sub(X5,c183) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_884,c_0_885]),c_0_886])]) ).

cnf(c_0_888,hypothesis,
    val(c188,s__374dafrika_0),
    i_0_355 ).

cnf(c_0_889,hypothesis,
    sub(c188,name_1_1),
    i_0_356 ).

cnf(c_0_890,hypothesis,
    ( ~ attr(X1,c195)
    | ~ attr(X1,c194)
    | ~ attr(X2,c188)
    | ~ subr(X3,rprs_0)
    | ~ prop(X4,schwarz_1_1)
    | ~ arg2(X3,X4)
    | ~ arg1(X3,X1)
    | ~ obj(X5,X1)
    | ~ sub(X4,c183) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_888]),c_0_889])]) ).

cnf(c_0_891,hypothesis,
    attr(c193,c195),
    i_0_351 ).

cnf(c_0_892,hypothesis,
    attr(c193,c194),
    i_0_352 ).

cnf(c_0_893,hypothesis,
    ( ~ attr(X1,c188)
    | ~ subr(X2,rprs_0)
    | ~ prop(X3,schwarz_1_1)
    | ~ arg2(X2,X3)
    | ~ arg1(X2,c193)
    | ~ obj(X4,c193)
    | ~ sub(X3,c183) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_891]),c_0_892])]) ).

cnf(c_0_894,hypothesis,
    attr(c187,c188),
    i_0_358 ).

cnf(c_0_895,hypothesis,
    ( ~ subr(X1,rprs_0)
    | ~ prop(X2,schwarz_1_1)
    | ~ arg2(X1,X2)
    | ~ arg1(X1,c193)
    | ~ obj(X3,c193)
    | ~ sub(X2,c183) ),
    inference(spm,[status(thm)],[c_0_893,c_0_894]) ).

cnf(c_0_896,plain,
    ( subr(esk22_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_694 ).

cnf(c_0_897,plain,
    ( ~ prop(X1,schwarz_1_1)
    | ~ arg2(esk22_3(X2,X3,X4),X1)
    | ~ arg2(X2,X4)
    | ~ arg1(esk22_3(X2,X3,X4),c193)
    | ~ arg1(X2,X3)
    | ~ obj(X5,c193)
    | ~ sub(X1,c183)
    | ~ subs(X2,hei__337en_1_1) ),
    inference(spm,[status(thm)],[c_0_895,c_0_896]) ).

cnf(c_0_898,plain,
    ( arg1(esk22_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_699 ).

cnf(c_0_899,plain,
    ( ~ prop(X1,schwarz_1_1)
    | ~ arg2(esk22_3(X2,c193,X3),X1)
    | ~ arg2(X2,X3)
    | ~ arg1(X2,c193)
    | ~ obj(X4,c193)
    | ~ sub(X1,c183)
    | ~ subs(X2,hei__337en_1_1) ),
    inference(spm,[status(thm)],[c_0_897,c_0_898]) ).

cnf(c_0_900,plain,
    ( arg2(esk22_3(X1,X2,X3),X3)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_698 ).

cnf(c_0_901,plain,
    ( ~ prop(X1,schwarz_1_1)
    | ~ arg2(X2,X1)
    | ~ arg1(X2,c193)
    | ~ obj(X3,c193)
    | ~ sub(X1,c183)
    | ~ subs(X2,hei__337en_1_1) ),
    inference(spm,[status(thm)],[c_0_899,c_0_900]) ).

cnf(c_0_902,hypothesis,
    prop(c193,schwarz_1_1),
    i_0_349 ).

cnf(c_0_903,hypothesis,
    sub(c193,c183),
    i_0_348 ).

cnf(c_0_904,hypothesis,
    ( ~ arg2(X1,c193)
    | ~ arg1(X1,c193)
    | ~ obj(X2,c193)
    | ~ subs(X1,hei__337en_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_901,c_0_902]),c_0_903])]) ).

cnf(c_0_905,plain,
    ( arg2(esk7_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    i_0_38 ).

cnf(c_0_906,plain,
    ( subs(esk7_3(X1,X2,X3),hei__337en_1_1)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    i_0_37 ).

cnf(c_0_907,plain,
    ( arg1(esk7_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    i_0_39 ).

cnf(c_0_908,plain,
    ( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(c193,X2)
    | ~ obj(X3,c193)
    | ~ sub(X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_904,c_0_905]),c_0_906]),c_0_907]) ).

cnf(c_0_909,plain,
    member(X1,cons(X1,X2)),
    i_0_727 ).

cnf(c_0_910,plain,
    ( ~ attr(c193,X1)
    | ~ obj(X2,c193)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_908,c_0_909]) ).

cnf(c_0_911,hypothesis,
    obj(c43,c193),
    i_0_337 ).

cnf(c_0_912,hypothesis,
    ~ obj(X1,c193),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_892]),c_0_886])]) ).

cnf(c_0_913,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_911,c_0_912]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR116+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 11 18:25:24 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.43/0.61  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.43/0.61  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.43/0.61  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.73/2.74  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.73/2.74  # Version: 2.1pre011
% 7.73/2.74  # Preprocessing time       : 0.021 s
% 7.73/2.74  
% 7.73/2.74  # Proof found!
% 7.73/2.74  # SZS status Theorem
% 7.73/2.74  # SZS output start CNFRefutation
% See solution above
% 7.73/2.74  # Proof object total steps             : 56
% 7.73/2.74  # Proof object clause steps            : 35
% 7.73/2.74  # Proof object formula steps           : 21
% 7.73/2.74  # Proof object conjectures             : 2
% 7.73/2.74  # Proof object clause conjectures      : 1
% 7.73/2.74  # Proof object formula conjectures     : 1
% 7.73/2.74  # Proof object initial clauses used    : 21
% 7.73/2.74  # Proof object initial formulas used   : 21
% 7.73/2.74  # Proof object generating inferences   : 13
% 7.73/2.74  # Proof object simplifying inferences  : 15
% 7.73/2.74  # Training examples: 0 positive, 0 negative
% 7.73/2.74  # Parsed axioms                        : 877
% 7.73/2.74  # Removed by relevancy pruning/SinE    : 0
% 7.73/2.74  # Initial clauses                      : 877
% 7.73/2.74  # Removed in clause preprocessing      : 0
% 7.73/2.74  # Initial clauses in saturation        : 877
% 7.73/2.74  # Processed clauses                    : 981
% 7.73/2.74  # ...of these trivial                  : 0
% 7.73/2.74  # ...subsumed                          : 3
% 7.73/2.74  # ...remaining for further processing  : 978
% 7.73/2.74  # Other redundant clauses eliminated   : 0
% 7.73/2.74  # Clauses deleted for lack of memory   : 0
% 7.73/2.74  # Backward-subsumed                    : 5
% 7.73/2.74  # Backward-rewritten                   : 0
% 7.73/2.74  # Generated clauses                    : 1115
% 7.73/2.74  # ...of the previous two non-trivial   : 1098
% 7.73/2.74  # Contextual simplify-reflections      : 9
% 7.73/2.74  # Paramodulations                      : 1114
% 7.73/2.74  # Factorizations                       : 0
% 7.73/2.74  # Equation resolutions                 : 0
% 7.73/2.74  # Propositional unsat checks           : 0
% 7.73/2.74  # Propositional unsat check successes  : 0
% 7.73/2.74  # Current number of processed clauses  : 972
% 7.73/2.74  #    Positive orientable unit clauses  : 594
% 7.73/2.74  #    Positive unorientable unit clauses: 0
% 7.73/2.74  #    Negative unit clauses             : 1
% 7.73/2.74  #    Non-unit-clauses                  : 377
% 7.73/2.74  # Current number of unprocessed clauses: 994
% 7.73/2.74  # ...number of literals in the above   : 3208
% 7.73/2.74  # Current number of archived formulas  : 0
% 7.73/2.74  # Current number of archived clauses   : 6
% 7.73/2.74  # Clause-clause subsumption calls (NU) : 46447
% 7.73/2.74  # Rec. Clause-clause subsumption calls : 9523
% 7.73/2.74  # Non-unit clause-clause subsumptions  : 17
% 7.73/2.74  # Unit Clause-clause subsumption calls : 4759
% 7.73/2.74  # Rewrite failures with RHS unbound    : 0
% 7.73/2.74  # BW rewrite match attempts            : 0
% 7.73/2.74  # BW rewrite match successes           : 0
% 7.73/2.74  # Condensation attempts                : 0
% 7.73/2.74  # Condensation successes               : 0
% 7.73/2.74  # Termbank termtop insertions          : 30356
% 7.73/2.74  
% 7.73/2.74  # -------------------------------------------------
% 7.73/2.74  # User time                : 0.057 s
% 7.73/2.74  # System time              : 0.006 s
% 7.73/2.74  # Total time               : 0.062 s
% 7.73/2.74  # ...preprocessing         : 0.021 s
% 7.73/2.74  # ...main loop             : 0.041 s
% 7.73/2.74  # Maximum resident set size: 9972 pages
% 7.73/2.74  
%------------------------------------------------------------------------------