TSTP Solution File: SEU367+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU367+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:41:34 EDT 2022
% Result : Theorem 13.79s 3.27s
% Output : CNFRefutation 13.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 23
% Syntax : Number of clauses : 88 ( 18 unt; 53 nHn; 59 RR)
% Number of literals : 295 ( 0 equ; 125 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 136 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X2,X1,X3)
| element(esk4_3(X2,X1,X3),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_11) ).
cnf(i_0_79,negated_conjecture,
net_str(esk21_0,esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_79) ).
cnf(i_0_81,negated_conjecture,
one_sorted_str(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_81) ).
cnf(i_0_80,negated_conjecture,
~ empty_carrier(esk21_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_80) ).
cnf(i_0_82,negated_conjecture,
~ empty_carrier(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_82) ).
cnf(i_0_67,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_67) ).
cnf(i_0_78,negated_conjecture,
subset(esk22_0,esk23_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_78) ).
cnf(i_0_12,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(apply_netmap(X2,X1,esk3_4(X2,X1,X3,X4)),X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_often_in(X2,X1,X3)
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_12) ).
cnf(i_0_13,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| related(X2,X3,esk3_4(X1,X2,X4,X3))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ is_often_in(X1,X2,X4)
| ~ element(X3,the_carrier(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_13) ).
cnf(i_0_69,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_69) ).
cnf(i_0_77,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,esk22_0)
| is_often_in(esk20_0,esk21_0,esk22_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_77) ).
cnf(i_0_14,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk3_4(X2,X1,X3,X4),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_often_in(X2,X1,X3)
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_14) ).
cnf(i_0_10,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X4,the_carrier(X2))
| ~ in(apply_netmap(X1,X2,X4),X3)
| ~ related(X2,esk4_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_10) ).
cnf(i_0_66,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_66) ).
cnf(i_0_70,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_70) ).
cnf(i_0_76,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,esk22_0)
| ~ is_often_in(esk20_0,esk21_0,esk23_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_76) ).
cnf(i_0_9,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk1_3(X2,X1,X3),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_eventually_in(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_9) ).
cnf(i_0_6,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X3)
| related(X2,X4,esk2_4(X1,X2,X3,X4))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X4,the_carrier(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_6) ).
cnf(i_0_7,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| element(esk2_4(X2,X1,X3,X4),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_7) ).
cnf(i_0_8,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(apply_netmap(X1,X2,X3),X4)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X4)
| ~ element(X3,the_carrier(X2))
| ~ related(X2,esk1_3(X1,X2,X4),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_8) ).
cnf(i_0_5,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ in(apply_netmap(X2,X1,esk2_4(X2,X1,X3,X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_5) ).
cnf(i_0_75,negated_conjecture,
( is_often_in(esk20_0,esk21_0,esk22_0)
| ~ is_eventually_in(esk20_0,esk21_0,esk23_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_75) ).
cnf(i_0_74,negated_conjecture,
( ~ is_eventually_in(esk20_0,esk21_0,esk23_0)
| ~ is_often_in(esk20_0,esk21_0,esk23_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nwupf9qj/input.p',i_0_74) ).
cnf(c_0_106,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X2,X1,X3)
| element(esk4_3(X2,X1,X3),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
i_0_11 ).
cnf(c_0_107,negated_conjecture,
net_str(esk21_0,esk20_0),
i_0_79 ).
cnf(c_0_108,negated_conjecture,
one_sorted_str(esk20_0),
i_0_81 ).
cnf(c_0_109,negated_conjecture,
~ empty_carrier(esk21_0),
i_0_80 ).
cnf(c_0_110,negated_conjecture,
~ empty_carrier(esk20_0),
i_0_82 ).
cnf(c_0_111,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_67 ).
cnf(c_0_112,negated_conjecture,
subset(esk22_0,esk23_0),
i_0_78 ).
cnf(c_0_113,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(apply_netmap(X2,X1,esk3_4(X2,X1,X3,X4)),X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_often_in(X2,X1,X3)
| ~ element(X4,the_carrier(X1)) ),
i_0_12 ).
cnf(c_0_114,negated_conjecture,
( is_often_in(esk20_0,esk21_0,X1)
| element(esk4_3(esk20_0,esk21_0,X1),the_carrier(esk21_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]),c_0_109]),c_0_110]) ).
cnf(c_0_115,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| related(X2,X3,esk3_4(X1,X2,X4,X3))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ is_often_in(X1,X2,X4)
| ~ element(X3,the_carrier(X2)) ),
i_0_13 ).
cnf(c_0_116,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_69 ).
cnf(c_0_117,negated_conjecture,
element(esk22_0,powerset(esk23_0)),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( is_often_in(esk20_0,esk21_0,X1)
| in(apply_netmap(X2,esk21_0,esk3_4(X2,esk21_0,X3,esk4_3(esk20_0,esk21_0,X1))),X3)
| empty_carrier(X2)
| ~ is_often_in(X2,esk21_0,X3)
| ~ net_str(esk21_0,X2)
| ~ one_sorted_str(X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_109]) ).
cnf(c_0_119,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,esk22_0)
| is_often_in(esk20_0,esk21_0,esk22_0) ),
i_0_77 ).
cnf(c_0_120,plain,
( related(esk21_0,esk4_3(esk20_0,esk21_0,X1),esk3_4(X2,esk21_0,X3,esk4_3(esk20_0,esk21_0,X1)))
| is_often_in(esk20_0,esk21_0,X1)
| empty_carrier(X2)
| ~ is_often_in(X2,esk21_0,X3)
| ~ net_str(esk21_0,X2)
| ~ one_sorted_str(X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_114]),c_0_109]) ).
cnf(c_0_121,negated_conjecture,
( element(X1,esk23_0)
| ~ in(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0)
| in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),esk22_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_123,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk3_4(X2,X1,X3,X4),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_often_in(X2,X1,X3)
| ~ element(X4,the_carrier(X1)) ),
i_0_14 ).
cnf(c_0_124,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X4,the_carrier(X2))
| ~ in(apply_netmap(X1,X2,X4),X3)
| ~ related(X2,esk4_3(X1,X2,X3),X4) ),
i_0_10 ).
cnf(c_0_125,negated_conjecture,
( related(esk21_0,esk4_3(esk20_0,esk21_0,X1),esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1)))
| is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_119]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_126,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_66 ).
cnf(c_0_127,negated_conjecture,
( is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0)
| element(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),esk23_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_128,plain,
( is_often_in(esk20_0,esk21_0,X1)
| empty_carrier(X2)
| element(esk3_4(X2,esk21_0,X3,esk4_3(esk20_0,esk21_0,X1)),the_carrier(esk21_0))
| ~ is_often_in(X2,esk21_0,X3)
| ~ net_str(esk21_0,X2)
| ~ one_sorted_str(X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_114]),c_0_109]) ).
cnf(c_0_129,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_70 ).
cnf(c_0_130,plain,
( is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0)
| ~ in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),X1)
| ~ element(esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1)),the_carrier(esk21_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_107]),c_0_108])]),c_0_110]),c_0_109]) ).
cnf(c_0_131,plain,
( is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0)
| in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),esk23_0)
| empty(esk23_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0)
| element(esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1)),the_carrier(esk21_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_119]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_133,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,esk22_0)
| ~ is_often_in(esk20_0,esk21_0,esk23_0) ),
i_0_76 ).
cnf(c_0_134,negated_conjecture,
( ~ in(X1,esk22_0)
| ~ empty(esk23_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_117]) ).
cnf(c_0_135,plain,
( is_eventually_in(esk20_0,esk21_0,esk22_0)
| empty(esk23_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_133]) ).
cnf(c_0_136,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,esk22_0)
| ~ in(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_137,negated_conjecture,
( is_often_in(esk20_0,esk21_0,X1)
| is_eventually_in(esk20_0,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_122]) ).
cnf(c_0_138,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk1_3(X2,X1,X3),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ is_eventually_in(X2,X1,X3) ),
i_0_9 ).
cnf(c_0_139,negated_conjecture,
is_eventually_in(esk20_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_133,c_0_137]) ).
cnf(c_0_140,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X3)
| related(X2,X4,esk2_4(X1,X2,X3,X4))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X4,the_carrier(X2)) ),
i_0_6 ).
cnf(c_0_141,plain,
element(esk1_3(esk20_0,esk21_0,esk22_0),the_carrier(esk21_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_107]),c_0_108])]),c_0_109]),c_0_110]) ).
cnf(c_0_142,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| element(esk2_4(X2,X1,X3,X4),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
i_0_7 ).
cnf(c_0_143,plain,
( related(esk21_0,esk1_3(esk20_0,esk21_0,esk22_0),esk2_4(X1,esk21_0,X2,esk1_3(esk20_0,esk21_0,esk22_0)))
| is_eventually_in(X1,esk21_0,X2)
| empty_carrier(X1)
| ~ net_str(esk21_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_109]) ).
cnf(c_0_144,plain,
( is_eventually_in(X1,esk21_0,X2)
| empty_carrier(X1)
| element(esk2_4(X1,esk21_0,X2,esk1_3(esk20_0,esk21_0,esk22_0)),the_carrier(esk21_0))
| ~ net_str(esk21_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_141]),c_0_109]) ).
cnf(c_0_145,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(apply_netmap(X1,X2,X3),X4)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X4)
| ~ element(X3,the_carrier(X2))
| ~ related(X2,esk1_3(X1,X2,X4),X3) ),
i_0_8 ).
cnf(c_0_146,negated_conjecture,
( related(esk21_0,esk1_3(esk20_0,esk21_0,esk22_0),esk2_4(esk20_0,esk21_0,X1,esk1_3(esk20_0,esk21_0,esk22_0)))
| is_eventually_in(esk20_0,esk21_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_147,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,X1)
| element(esk2_4(esk20_0,esk21_0,X1,esk1_3(esk20_0,esk21_0,esk22_0)),the_carrier(esk21_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_148,plain,
( is_eventually_in(esk20_0,esk21_0,X1)
| in(apply_netmap(esk20_0,esk21_0,esk2_4(esk20_0,esk21_0,X1,esk1_3(esk20_0,esk21_0,esk22_0))),esk22_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_139]),c_0_107]),c_0_108])]),c_0_110]),c_0_109]),c_0_147]) ).
cnf(c_0_149,negated_conjecture,
( is_eventually_in(esk20_0,esk21_0,X1)
| element(apply_netmap(esk20_0,esk21_0,esk2_4(esk20_0,esk21_0,X1,esk1_3(esk20_0,esk21_0,esk22_0))),esk23_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_148]) ).
cnf(c_0_150,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ in(apply_netmap(X2,X1,esk2_4(X2,X1,X3,X4)),X3) ),
i_0_5 ).
cnf(c_0_151,plain,
( is_eventually_in(esk20_0,esk21_0,X1)
| in(apply_netmap(esk20_0,esk21_0,esk2_4(esk20_0,esk21_0,X1,esk1_3(esk20_0,esk21_0,esk22_0))),esk23_0)
| empty(esk23_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_149]) ).
cnf(c_0_152,negated_conjecture,
( is_often_in(esk20_0,esk21_0,esk22_0)
| ~ is_eventually_in(esk20_0,esk21_0,esk23_0) ),
i_0_75 ).
cnf(c_0_153,plain,
( is_eventually_in(esk20_0,esk21_0,esk23_0)
| empty(esk23_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_141]),c_0_107]),c_0_108])]),c_0_109]),c_0_110]) ).
cnf(c_0_154,negated_conjecture,
( is_often_in(esk20_0,esk21_0,esk22_0)
| empty(esk23_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,negated_conjecture,
( is_often_in(esk20_0,esk21_0,esk22_0)
| ~ in(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_154]) ).
cnf(c_0_156,plain,
( is_often_in(esk20_0,esk21_0,esk22_0)
| is_eventually_in(esk20_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_148]) ).
cnf(c_0_157,negated_conjecture,
is_often_in(esk20_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_152,c_0_156]) ).
cnf(c_0_158,plain,
( is_often_in(esk20_0,esk21_0,X1)
| in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),esk22_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_157]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_159,plain,
( related(esk21_0,esk4_3(esk20_0,esk21_0,X1),esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1)))
| is_often_in(esk20_0,esk21_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_157]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_160,plain,
( is_often_in(esk20_0,esk21_0,X1)
| element(esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1)),the_carrier(esk21_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_157]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_161,negated_conjecture,
( is_often_in(esk20_0,esk21_0,X1)
| element(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),esk23_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_158]) ).
cnf(c_0_162,plain,
( is_often_in(esk20_0,esk21_0,X1)
| ~ in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_159]),c_0_107]),c_0_108])]),c_0_110]),c_0_109]),c_0_160]) ).
cnf(c_0_163,plain,
( is_often_in(esk20_0,esk21_0,X1)
| in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk4_3(esk20_0,esk21_0,X1))),esk23_0)
| empty(esk23_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_161]) ).
cnf(c_0_164,negated_conjecture,
( ~ is_eventually_in(esk20_0,esk21_0,esk23_0)
| ~ is_often_in(esk20_0,esk21_0,esk23_0) ),
i_0_74 ).
cnf(c_0_165,plain,
( is_often_in(esk20_0,esk21_0,esk23_0)
| empty(esk23_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_166,plain,
( in(apply_netmap(X1,esk21_0,esk3_4(X1,esk21_0,X2,esk1_3(esk20_0,esk21_0,esk22_0))),X2)
| empty_carrier(X1)
| ~ is_often_in(X1,esk21_0,X2)
| ~ net_str(esk21_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_141]),c_0_109]) ).
cnf(c_0_167,negated_conjecture,
empty(esk23_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_153]) ).
cnf(c_0_168,plain,
in(apply_netmap(esk20_0,esk21_0,esk3_4(esk20_0,esk21_0,esk22_0,esk1_3(esk20_0,esk21_0,esk22_0))),esk22_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_157]),c_0_107]),c_0_108])]),c_0_110]) ).
cnf(c_0_169,negated_conjecture,
~ in(X1,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_167])]) ).
cnf(c_0_170,plain,
$false,
inference(sr,[status(thm)],[c_0_168,c_0_169]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU367+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n008.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 : Mon Jun 20 13:37:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 13.79/3.27 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.79/3.27 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.79/3.27 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 13.79/3.27 # Preprocessing time : 0.719 s
% 13.79/3.27
% 13.79/3.27 # Proof found!
% 13.79/3.27 # SZS status Theorem
% 13.79/3.27 # SZS output start CNFRefutation
% See solution above
% 13.79/3.27 # Training examples: 0 positive, 0 negative
% 13.79/3.27
% 13.79/3.27 # -------------------------------------------------
% 13.79/3.27 # User time : 0.695 s
% 13.79/3.27 # System time : 0.099 s
% 13.79/3.27 # Total time : 0.794 s
% 13.79/3.27 # ...preprocessing : 0.719 s
% 13.79/3.27 # ...main loop : 0.075 s
% 13.79/3.27 # Maximum resident set size: 152084 pages
% 13.79/3.27
%------------------------------------------------------------------------------