TSTP Solution File: PRO004+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO004+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 : Mon Jul 18 17:43:34 EDT 2022

% Result   : Theorem 21.00s 4.17s
% Output   : CNFRefutation 21.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  122 (  24 unt;  51 nHn; 122 RR)
%            Number of literals    :  292 (  35 equ; 104 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  121 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_70,plain,
    ( root_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_70) ).

cnf(i_0_88,negated_conjecture,
    occurrence_of(esk19_0,tptp0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_88) ).

cnf(i_0_71,plain,
    ( occurrence_of(esk16_1(X1),tptp4)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_71) ).

cnf(i_0_61,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_61) ).

cnf(i_0_10,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_10) ).

cnf(i_0_74,plain,
    atomic(tptp4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_74) ).

cnf(i_0_86,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk18_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_86) ).

cnf(i_0_39,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_39) ).

cnf(i_0_46,plain,
    ( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_46) ).

cnf(i_0_87,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk18_1(X1),tptp1)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_87) ).

cnf(i_0_48,plain,
    ( occurrence_of(esk10_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_48) ).

cnf(i_0_53,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_53) ).

cnf(i_0_77,plain,
    atomic(tptp1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_77) ).

cnf(i_0_68,plain,
    ( leaf_occ(esk17_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_68) ).

cnf(i_0_5,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_5) ).

cnf(i_0_66,plain,
    ( occurrence_of(X1,esk15_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_66) ).

cnf(i_0_65,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_65) ).

cnf(i_0_69,plain,
    ( occurrence_of(esk17_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_69) ).

cnf(i_0_64,plain,
    ( leaf(X1,esk15_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_64) ).

cnf(i_0_75,plain,
    atomic(tptp3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_75) ).

cnf(i_0_62,plain,
    ( occurrence_of(X1,esk14_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_62) ).

cnf(i_0_67,plain,
    ( next_subocc(esk16_1(X1),esk17_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_67) ).

cnf(i_0_60,plain,
    ( root(X1,esk14_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_60) ).

cnf(i_0_38,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_38) ).

cnf(i_0_34,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_34) ).

cnf(i_0_3,plain,
    ( occurrence_of(X1,esk1_1(X1))
    | ~ activity_occurrence(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_3) ).

cnf(i_0_1,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_1) ).

cnf(i_0_25,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_25) ).

cnf(i_0_81,plain,
    tptp1 != tptp3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0csjhhm_/input.p',i_0_81) ).

cnf(c_0_118,plain,
    ( root_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_70 ).

cnf(c_0_119,negated_conjecture,
    occurrence_of(esk19_0,tptp0),
    i_0_88 ).

cnf(c_0_120,plain,
    ( occurrence_of(esk16_1(X1),tptp4)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_71 ).

cnf(c_0_121,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    i_0_61 ).

cnf(c_0_122,negated_conjecture,
    root_occ(esk16_1(esk19_0),esk19_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_123,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    i_0_10 ).

cnf(c_0_124,negated_conjecture,
    occurrence_of(esk16_1(esk19_0),tptp4),
    inference(spm,[status(thm)],[c_0_120,c_0_119]) ).

cnf(c_0_125,plain,
    atomic(tptp4),
    i_0_74 ).

cnf(c_0_126,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk18_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_86 ).

cnf(c_0_127,plain,
    subactivity_occurrence(esk16_1(esk19_0),esk19_0),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_128,plain,
    arboreal(esk16_1(esk19_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).

cnf(c_0_129,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    i_0_39 ).

cnf(c_0_130,plain,
    ( next_subocc(esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_119])]) ).

cnf(c_0_131,plain,
    ( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    i_0_46 ).

cnf(c_0_132,plain,
    ( min_precedes(esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk18_1(X1),tptp1)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_87 ).

cnf(c_0_134,plain,
    ( occurrence_of(esk10_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    i_0_48 ).

cnf(c_0_135,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4) ),
    i_0_53 ).

cnf(c_0_136,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | subactivity_occurrence(esk18_1(esk16_1(esk19_0)),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_137,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | occurrence_of(esk18_1(esk16_1(esk19_0)),tptp1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_127]),c_0_128]),c_0_119])]) ).

cnf(c_0_138,plain,
    atomic(tptp1),
    i_0_77 ).

cnf(c_0_139,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),tptp0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_132]) ).

cnf(c_0_140,plain,
    ( leaf_occ(esk17_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_68 ).

cnf(c_0_141,plain,
    ( X1 = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),X1,X2)
    | min_precedes(X1,esk18_1(esk16_1(esk19_0)),X2)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ subactivity_occurrence(X1,esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))
    | ~ arboreal(esk18_1(esk16_1(esk19_0)))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_142,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | arboreal(esk18_1(esk16_1(esk19_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_137]),c_0_138])]) ).

cnf(c_0_143,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | root_occ(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_118,c_0_139]) ).

cnf(c_0_144,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_5 ).

cnf(c_0_145,plain,
    ( occurrence_of(X1,esk15_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    i_0_66 ).

cnf(c_0_146,plain,
    ( leaf_occ(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_139]) ).

cnf(c_0_147,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    i_0_65 ).

cnf(c_0_148,plain,
    ( occurrence_of(esk17_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_69 ).

cnf(c_0_149,plain,
    ( X1 = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),X1,X2)
    | min_precedes(X1,esk18_1(esk16_1(esk19_0)),X2)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ subactivity_occurrence(X1,esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X2) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_150,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | subactivity_occurrence(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_121,c_0_143]) ).

cnf(c_0_151,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | occurrence_of(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp4) ),
    inference(spm,[status(thm)],[c_0_120,c_0_139]) ).

cnf(c_0_152,plain,
    ( leaf(X1,esk15_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    i_0_64 ).

cnf(c_0_153,plain,
    ( X1 = tptp0
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_139]) ).

cnf(c_0_154,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),esk15_2(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_155,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | subactivity_occurrence(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_156,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | occurrence_of(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp3) ),
    inference(spm,[status(thm)],[c_0_148,c_0_139]) ).

cnf(c_0_157,plain,
    atomic(tptp3),
    i_0_75 ).

cnf(c_0_158,plain,
    ( occurrence_of(X1,esk14_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    i_0_62 ).

cnf(c_0_159,plain,
    ( next_subocc(esk16_1(X1),esk17_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_67 ).

cnf(c_0_160,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),X1)
    | min_precedes(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk18_1(esk16_1(esk19_0)),X1)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ arboreal(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))))
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X1) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_161,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | arboreal(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_151]),c_0_125])]) ).

cnf(c_0_162,plain,
    ( leaf(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk15_2(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))))
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_146]) ).

cnf(c_0_163,plain,
    ( esk15_2(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = tptp0
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_164,plain,
    ( esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),X1)
    | min_precedes(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk18_1(esk16_1(esk19_0)),X1)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ arboreal(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))))
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X1) ),
    inference(spm,[status(thm)],[c_0_149,c_0_155]) ).

cnf(c_0_165,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | arboreal(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_156]),c_0_157])]) ).

cnf(c_0_166,plain,
    ( root(X1,esk14_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    i_0_60 ).

cnf(c_0_167,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),esk14_2(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(spm,[status(thm)],[c_0_158,c_0_143]) ).

cnf(c_0_168,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    i_0_38 ).

cnf(c_0_169,plain,
    ( next_subocc(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_139]) ).

cnf(c_0_170,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),X1)
    | min_precedes(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk18_1(esk16_1(esk19_0)),X1)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_171,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    i_0_34 ).

cnf(c_0_172,plain,
    ( leaf(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_173,plain,
    ( esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),X1)
    | min_precedes(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk18_1(esk16_1(esk19_0)),X1)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ occurrence_of(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))),X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_174,plain,
    ( occurrence_of(X1,esk1_1(X1))
    | ~ activity_occurrence(X1) ),
    i_0_3 ).

cnf(c_0_175,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | root(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk14_2(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(spm,[status(thm)],[c_0_166,c_0_143]) ).

cnf(c_0_176,plain,
    ( esk14_2(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = tptp0
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_167]) ).

cnf(c_0_177,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ min_precedes(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),X1,tptp0)
    | ~ min_precedes(X1,esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_178,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | min_precedes(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk18_1(esk16_1(esk19_0)),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_170,c_0_139]) ).

cnf(c_0_179,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ min_precedes(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_180,plain,
    ( esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | min_precedes(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),esk18_1(esk16_1(esk19_0)),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_139]) ).

cnf(c_0_181,plain,
    ( X1 = esk1_1(X2)
    | ~ activity_occurrence(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_174]) ).

cnf(c_0_182,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    i_0_1 ).

cnf(c_0_183,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    i_0_25 ).

cnf(c_0_184,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | root(esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_185,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ min_precedes(esk18_1(esk16_1(esk19_0)),esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_186,plain,
    ( esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_187,plain,
    ( esk1_1(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) = tptp3
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ activity_occurrence(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(spm,[status(thm)],[c_0_181,c_0_156]) ).

cnf(c_0_188,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | activity_occurrence(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_156]) ).

cnf(c_0_189,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ min_precedes(X1,esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_190,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | min_precedes(esk18_1(esk16_1(esk19_0)),esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_191,plain,
    ( esk1_1(esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0))))) = tptp3
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_192,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | esk17_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_193,plain,
    ( esk16_1(esk10_3(tptp0,esk16_1(esk19_0),esk18_1(esk16_1(esk19_0)))) = esk18_1(esk16_1(esk19_0))
    | esk1_1(esk18_1(esk16_1(esk19_0))) = tptp3
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_194,plain,
    ( esk1_1(esk18_1(esk16_1(esk19_0))) = tptp1
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ activity_occurrence(esk18_1(esk16_1(esk19_0))) ),
    inference(spm,[status(thm)],[c_0_181,c_0_137]) ).

cnf(c_0_195,plain,
    ( leaf_occ(esk16_1(esk19_0),esk19_0)
    | activity_occurrence(esk18_1(esk16_1(esk19_0))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_137]) ).

cnf(c_0_196,plain,
    ( esk1_1(esk18_1(esk16_1(esk19_0))) = tptp3
    | leaf_occ(esk16_1(esk19_0),esk19_0)
    | ~ min_precedes(X1,esk18_1(esk16_1(esk19_0)),tptp0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_193]) ).

cnf(c_0_197,plain,
    ( esk1_1(esk18_1(esk16_1(esk19_0))) = tptp1
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_198,plain,
    ( esk1_1(esk18_1(esk16_1(esk19_0))) = tptp3
    | leaf_occ(esk16_1(esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_196,c_0_132]) ).

cnf(c_0_199,plain,
    tptp1 != tptp3,
    i_0_81 ).

cnf(c_0_200,plain,
    leaf_occ(esk16_1(esk19_0),esk19_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_201,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk19_0,X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_119]) ).

cnf(c_0_202,negated_conjecture,
    activity_occurrence(esk19_0),
    inference(spm,[status(thm)],[c_0_182,c_0_119]) ).

cnf(c_0_203,plain,
    occurrence_of(esk19_0,esk15_2(esk16_1(esk19_0),esk19_0)),
    inference(spm,[status(thm)],[c_0_145,c_0_200]) ).

cnf(c_0_204,plain,
    esk1_1(esk19_0) = tptp0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_174]),c_0_202])]) ).

cnf(c_0_205,plain,
    esk15_2(esk16_1(esk19_0),esk19_0) = tptp0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_203]),c_0_204]),c_0_202])]) ).

cnf(c_0_206,negated_conjecture,
    next_subocc(esk16_1(esk19_0),esk17_1(esk19_0),tptp0),
    inference(spm,[status(thm)],[c_0_159,c_0_119]) ).

cnf(c_0_207,plain,
    leaf(esk16_1(esk19_0),tptp0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_200]),c_0_205]) ).

cnf(c_0_208,plain,
    min_precedes(esk16_1(esk19_0),esk17_1(esk19_0),tptp0),
    inference(spm,[status(thm)],[c_0_129,c_0_206]) ).

cnf(c_0_209,plain,
    ~ min_precedes(esk16_1(esk19_0),X1,tptp0),
    inference(spm,[status(thm)],[c_0_171,c_0_207]) ).

cnf(c_0_210,plain,
    $false,
    inference(sr,[status(thm)],[c_0_208,c_0_209]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PRO004+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jun 13 03:10:44 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.45  # ENIGMATIC: Selected complete mode:
% 21.00/4.17  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 21.00/4.17  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 20; version: 991; iters: 150)
% 21.00/4.17  # Preprocessing time       : 1.206 s
% 21.00/4.17  # Presaturation interreduction done
% 21.00/4.17  
% 21.00/4.17  # Proof found!
% 21.00/4.17  # SZS status Theorem
% 21.00/4.17  # SZS output start CNFRefutation
% See solution above
% 21.00/4.17  # Training examples: 0 positive, 0 negative
% 21.00/4.17  
% 21.00/4.17  # -------------------------------------------------
% 21.00/4.17  # User time                : 1.387 s
% 21.00/4.17  # System time              : 0.120 s
% 21.00/4.17  # Total time               : 1.507 s
% 21.00/4.17  # ...preprocessing         : 1.206 s
% 21.00/4.17  # ...main loop             : 0.301 s
% 21.00/4.17  # Maximum resident set size: 167764 pages
% 21.00/4.17  
%------------------------------------------------------------------------------