TSTP Solution File: CSR116+15 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR116+15 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 02:49:30 EDT 2022

% Result   : Theorem 8.97s 2.86s
% Output   : CNFRefutation 8.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   60 (  24 unt;   0 nHn;  56 RR)
%            Number of literals    :  223 (   0 equ; 179 neg)
%            Maximal clause size   :   14 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  15 con; 0-3 aty)
%            Number of variables   :  153 (  46 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_868,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)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_868) ).

cnf(i_0_364,hypothesis,
    val(c38008,mandela_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_364) ).

cnf(i_0_365,hypothesis,
    sub(c38008,familiename_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_365) ).

cnf(i_0_366,hypothesis,
    val(c38007,nelson_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_366) ).

cnf(i_0_367,hypothesis,
    sub(c38007,eigenname_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_367) ).

cnf(i_0_371,hypothesis,
    val(c38001,s__374dafrika_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_371) ).

cnf(i_0_372,hypothesis,
    sub(c38001,name_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_372) ).

cnf(i_0_705,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-y7frtf_l/lgb.p',i_0_705) ).

cnf(i_0_709,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-y7frtf_l/lgb.p',i_0_709) ).

cnf(i_0_710,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-y7frtf_l/lgb.p',i_0_710) ).

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-y7frtf_l/lgb.p',i_0_37) ).

cnf(i_0_738,plain,
    member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_738) ).

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-y7frtf_l/lgb.p',i_0_38) ).

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-y7frtf_l/lgb.p',i_0_39) ).

cnf(i_0_369,hypothesis,
    attr(c38006,c38008),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_369) ).

cnf(i_0_370,hypothesis,
    attr(c38006,c38007),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_370) ).

cnf(i_0_374,hypothesis,
    attr(c38000,c38001),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_374) ).

cnf(i_0_34,plain,
    ( obj(esk6_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-y7frtf_l/lgb.p',i_0_34) ).

cnf(i_0_739,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_739) ).

cnf(i_0_368,hypothesis,
    sub(c38006,pr__344sident_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y7frtf_l/lgb.p',i_0_368) ).

cnf(c_0_889,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)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0) ),
    i_0_868 ).

cnf(c_0_890,hypothesis,
    val(c38008,mandela_0),
    i_0_364 ).

cnf(c_0_891,hypothesis,
    sub(c38008,familiename_1_1),
    i_0_365 ).

cnf(c_0_892,hypothesis,
    ( ~ val(X1,nelson_0)
    | ~ val(X2,s__374dafrika_0)
    | ~ subr(X3,rprs_0)
    | ~ attr(X4,c38008)
    | ~ attr(X5,X2)
    | ~ attr(X4,X1)
    | ~ arg2(X3,X6)
    | ~ arg1(X3,X4)
    | ~ obj(X7,X4)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(X2,name_1_1)
    | ~ sub(X6,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_889,c_0_890]),c_0_891])]) ).

cnf(c_0_893,hypothesis,
    val(c38007,nelson_0),
    i_0_366 ).

cnf(c_0_894,hypothesis,
    sub(c38007,eigenname_1_1),
    i_0_367 ).

cnf(c_0_895,hypothesis,
    ( ~ val(X1,s__374dafrika_0)
    | ~ subr(X2,rprs_0)
    | ~ attr(X3,c38008)
    | ~ attr(X3,c38007)
    | ~ attr(X4,X1)
    | ~ arg2(X2,X5)
    | ~ arg1(X2,X3)
    | ~ obj(X6,X3)
    | ~ sub(X1,name_1_1)
    | ~ sub(X5,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_892,c_0_893]),c_0_894])]) ).

cnf(c_0_896,hypothesis,
    val(c38001,s__374dafrika_0),
    i_0_371 ).

cnf(c_0_897,hypothesis,
    sub(c38001,name_1_1),
    i_0_372 ).

cnf(c_0_898,hypothesis,
    ( ~ subr(X1,rprs_0)
    | ~ attr(X2,c38008)
    | ~ attr(X2,c38007)
    | ~ attr(X3,c38001)
    | ~ arg2(X1,X4)
    | ~ arg1(X1,X2)
    | ~ obj(X5,X2)
    | ~ sub(X4,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_896]),c_0_897])]) ).

cnf(c_0_899,plain,
    ( subr(esk22_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_705 ).

cnf(c_0_900,plain,
    ( ~ subs(X1,hei__337en_1_1)
    | ~ attr(X2,c38008)
    | ~ attr(X2,c38007)
    | ~ attr(X3,c38001)
    | ~ arg2(esk22_3(X1,X4,X5),X6)
    | ~ arg2(X1,X5)
    | ~ arg1(esk22_3(X1,X4,X5),X2)
    | ~ arg1(X1,X4)
    | ~ obj(X7,X2)
    | ~ sub(X6,X8) ),
    inference(spm,[status(thm)],[c_0_898,c_0_899]) ).

cnf(c_0_901,plain,
    ( arg2(esk22_3(X1,X2,X3),X3)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_709 ).

cnf(c_0_902,plain,
    ( ~ subs(X1,hei__337en_1_1)
    | ~ attr(X2,c38008)
    | ~ attr(X2,c38007)
    | ~ attr(X3,c38001)
    | ~ arg2(X1,X4)
    | ~ arg1(esk22_3(X1,X5,X4),X2)
    | ~ arg1(X1,X5)
    | ~ obj(X6,X2)
    | ~ sub(X4,X7) ),
    inference(spm,[status(thm)],[c_0_900,c_0_901]) ).

cnf(c_0_903,plain,
    ( arg1(esk22_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_710 ).

cnf(c_0_904,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_905,plain,
    member(X1,cons(X1,X2)),
    i_0_738 ).

cnf(c_0_906,plain,
    ( ~ subs(X1,hei__337en_1_1)
    | ~ attr(X2,c38008)
    | ~ attr(X2,c38007)
    | ~ attr(X3,c38001)
    | ~ arg2(X1,X4)
    | ~ arg1(X1,X2)
    | ~ obj(X5,X2)
    | ~ sub(X4,X6) ),
    inference(spm,[status(thm)],[c_0_902,c_0_903]) ).

cnf(c_0_907,plain,
    ( subs(esk7_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ attr(X2,X1)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_904,c_0_905]) ).

cnf(c_0_908,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_909,plain,
    ( ~ attr(X1,c38008)
    | ~ attr(X1,c38007)
    | ~ attr(X2,c38001)
    | ~ attr(X3,X4)
    | ~ arg2(esk7_3(X4,eigenname_1_1,X3),X5)
    | ~ arg1(esk7_3(X4,eigenname_1_1,X3),X1)
    | ~ obj(X6,X1)
    | ~ sub(X4,eigenname_1_1)
    | ~ sub(X5,X7) ),
    inference(spm,[status(thm)],[c_0_906,c_0_907]) ).

cnf(c_0_910,plain,
    ( arg2(esk7_3(X1,eigenname_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_908,c_0_905]) ).

cnf(c_0_911,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_912,plain,
    ( ~ attr(X1,c38008)
    | ~ attr(X1,c38007)
    | ~ attr(X2,c38001)
    | ~ attr(X3,X4)
    | ~ arg1(esk7_3(X4,eigenname_1_1,X3),X1)
    | ~ obj(X5,X1)
    | ~ sub(X4,eigenname_1_1)
    | ~ sub(X3,X6) ),
    inference(spm,[status(thm)],[c_0_909,c_0_910]) ).

cnf(c_0_913,plain,
    ( arg1(esk7_3(X1,eigenname_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_911,c_0_905]) ).

cnf(c_0_914,plain,
    ( ~ attr(X1,c38008)
    | ~ attr(X1,c38007)
    | ~ attr(X2,c38001)
    | ~ attr(X1,X3)
    | ~ obj(X4,X1)
    | ~ sub(X3,eigenname_1_1)
    | ~ sub(X1,X5) ),
    inference(spm,[status(thm)],[c_0_912,c_0_913]) ).

cnf(c_0_915,hypothesis,
    attr(c38006,c38008),
    i_0_369 ).

cnf(c_0_916,hypothesis,
    attr(c38006,c38007),
    i_0_370 ).

cnf(c_0_917,hypothesis,
    ( ~ attr(X1,c38001)
    | ~ attr(c38006,X2)
    | ~ obj(X3,c38006)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(c38006,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_915]),c_0_916])]) ).

cnf(c_0_918,hypothesis,
    attr(c38000,c38001),
    i_0_374 ).

cnf(c_0_919,plain,
    ( obj(esk6_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_34 ).

cnf(c_0_920,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    i_0_739 ).

cnf(c_0_921,hypothesis,
    ( ~ attr(c38006,X1)
    | ~ obj(X2,c38006)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(c38006,X3) ),
    inference(spm,[status(thm)],[c_0_917,c_0_918]) ).

cnf(c_0_922,plain,
    ( obj(esk6_3(X1,X2,X3),X3)
    | ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
    | ~ attr(X3,X1)
    | ~ sub(X1,X2) ),
    inference(spm,[status(thm)],[c_0_919,c_0_920]) ).

cnf(c_0_923,hypothesis,
    ( ~ obj(X1,c38006)
    | ~ sub(c38006,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_921,c_0_916]),c_0_894])]) ).

cnf(c_0_924,plain,
    ( obj(esk6_3(X1,familiename_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_922,c_0_905]) ).

cnf(c_0_925,plain,
    ( ~ attr(c38006,X1)
    | ~ sub(c38006,X2)
    | ~ sub(X1,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_923,c_0_924]) ).

cnf(c_0_926,hypothesis,
    sub(c38006,pr__344sident_1_1),
    i_0_368 ).

cnf(c_0_927,hypothesis,
    ~ sub(c38006,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_925,c_0_915]),c_0_891])]) ).

cnf(c_0_928,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_926,c_0_927]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR116+15 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n028.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 00:46:06 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.60  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.60  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.60  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.60  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.97/2.86  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.97/2.86  # No SInE strategy applied
% 8.97/2.86  # Trying AutoSched0 for 150 seconds
% 8.97/2.86  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.97/2.86  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.97/2.86  #
% 8.97/2.86  # Preprocessing time       : 0.031 s
% 8.97/2.86  # Presaturation interreduction done
% 8.97/2.86  
% 8.97/2.86  # Proof found!
% 8.97/2.86  # SZS status Theorem
% 8.97/2.86  # SZS output start CNFRefutation
% See solution above
% 8.97/2.86  # Training examples: 0 positive, 0 negative
% 8.97/2.86  
% 8.97/2.86  # -------------------------------------------------
% 8.97/2.86  # User time                : 0.072 s
% 8.97/2.86  # System time              : 0.003 s
% 8.97/2.86  # Total time               : 0.075 s
% 8.97/2.86  # Maximum resident set size: 7124 pages
% 8.97/2.86  
%------------------------------------------------------------------------------