TSTP Solution File: SWV391+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV391+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 : Wed Jul 20 17:47:04 EDT 2022
% Result : Theorem 8.39s 2.48s
% Output : CNFRefutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 47 ( 13 unt; 18 nHn; 26 RR)
% Number of literals : 106 ( 9 equ; 43 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 116 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
~ ok(triple(X1,X2,bad)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_30) ).
cnf(i_0_35,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
| ~ contains_slb(X2,X4)
| ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_35) ).
cnf(i_0_49,lemma,
( contains_slb(X1,X2)
| ~ ok(remove_cpq(triple(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_49) ).
cnf(i_0_46,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_46) ).
cnf(i_0_55,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_55) ).
cnf(i_0_58,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_58) ).
cnf(i_0_53,lemma,
( less_than(X1,X2)
| ~ pair_in_list(X3,X2,X1)
| ~ check_cpq(triple(X4,X3,X5)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_53) ).
cnf(i_0_34,plain,
( triple(remove_pqp(X1,X2),remove_slb(X3,X2),X4) = remove_cpq(triple(X1,X3,X4),X2)
| ~ contains_slb(X3,X2)
| ~ less_than(lookup_slb(X3,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_34) ).
cnf(i_0_50,lemma,
( X1 = X2
| pair_in_list(remove_slb(X3,X2),X1,X4)
| ~ contains_slb(X3,X2)
| ~ pair_in_list(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_50) ).
cnf(i_0_52,lemma,
( check_cpq(triple(X1,X2,X3))
| pair_in_list(X2,esk5_2(X1,X2),esk6_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_52) ).
cnf(i_0_47,negated_conjecture,
check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_47) ).
cnf(i_0_51,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ less_than(esk6_2(X1,X2),esk5_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_51) ).
cnf(i_0_48,lemma,
( less_than(X1,X2)
| ~ pair_in_list(X3,X2,X1)
| ~ check_cpq(remove_cpq(triple(X4,X3,X5),X2))
| ~ ok(remove_cpq(triple(X4,X3,X5),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_48) ).
cnf(i_0_45,negated_conjecture,
~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eny16jeh/lgb.p',i_0_45) ).
cnf(c_0_73,plain,
~ ok(triple(X1,X2,bad)),
i_0_30 ).
cnf(c_0_74,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
| ~ contains_slb(X2,X4)
| ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
i_0_35 ).
cnf(c_0_75,lemma,
( contains_slb(X1,X2)
| ~ ok(remove_cpq(triple(X3,X1,X4),X2)) ),
i_0_49 ).
cnf(c_0_76,plain,
( ~ strictly_less_than(X1,lookup_slb(X2,X1))
| ~ ok(remove_cpq(triple(X3,X2,X4),X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
i_0_46 ).
cnf(c_0_78,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
i_0_55 ).
cnf(c_0_79,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
i_0_58 ).
cnf(c_0_80,lemma,
( less_than(X1,X2)
| ~ pair_in_list(X3,X2,X1)
| ~ check_cpq(triple(X4,X3,X5)) ),
i_0_53 ).
cnf(c_0_81,plain,
( triple(remove_pqp(X1,X2),remove_slb(X3,X2),X4) = remove_cpq(triple(X1,X3,X4),X2)
| ~ contains_slb(X3,X2)
| ~ less_than(lookup_slb(X3,X2),X2) ),
i_0_34 ).
cnf(c_0_82,negated_conjecture,
~ strictly_less_than(esk4_0,lookup_slb(esk2_0,esk4_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,lemma,
( X1 = X2
| pair_in_list(remove_slb(X3,X2),X1,X4)
| ~ contains_slb(X3,X2)
| ~ pair_in_list(X3,X1,X4) ),
i_0_50 ).
cnf(c_0_85,lemma,
( check_cpq(triple(X1,X2,X3))
| pair_in_list(X2,esk5_2(X1,X2),esk6_2(X1,X2)) ),
i_0_52 ).
cnf(c_0_86,lemma,
( less_than(X1,X2)
| ~ contains_slb(X3,X4)
| ~ pair_in_list(remove_slb(X3,X4),X2,X1)
| ~ less_than(lookup_slb(X3,X4),X4)
| ~ check_cpq(remove_cpq(triple(X5,X3,X6),X4)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
check_cpq(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
i_0_47 ).
cnf(c_0_88,lemma,
contains_slb(esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_75,c_0_77]) ).
cnf(c_0_89,plain,
less_than(lookup_slb(esk2_0,esk4_0),esk4_0),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,lemma,
( esk5_2(X1,X2) = X3
| pair_in_list(remove_slb(X2,X3),esk5_2(X1,X2),esk6_2(X1,X2))
| check_cpq(triple(X1,X2,X4))
| ~ contains_slb(X2,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( less_than(X1,X2)
| ~ pair_in_list(remove_slb(esk2_0,esk4_0),X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89])]) ).
cnf(c_0_92,lemma,
( esk5_2(X1,esk2_0) = esk4_0
| pair_in_list(remove_slb(esk2_0,esk4_0),esk5_2(X1,esk2_0),esk6_2(X1,esk2_0))
| check_cpq(triple(X1,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_90,c_0_88]) ).
cnf(c_0_93,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ less_than(esk6_2(X1,X2),esk5_2(X1,X2)) ),
i_0_51 ).
cnf(c_0_94,lemma,
( esk5_2(X1,esk2_0) = esk4_0
| check_cpq(triple(X1,esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_95,lemma,
( less_than(X1,X2)
| ~ pair_in_list(X3,X2,X1)
| ~ check_cpq(remove_cpq(triple(X4,X3,X5),X2))
| ~ ok(remove_cpq(triple(X4,X3,X5),X2)) ),
i_0_48 ).
cnf(c_0_96,lemma,
( pair_in_list(esk2_0,esk4_0,esk6_2(X1,esk2_0))
| check_cpq(triple(X1,esk2_0,X2))
| check_cpq(triple(X1,esk2_0,X3)) ),
inference(spm,[status(thm)],[c_0_85,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( less_than(X1,esk4_0)
| ~ pair_in_list(esk2_0,esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_77]),c_0_87])]) ).
cnf(c_0_98,lemma,
( pair_in_list(esk2_0,esk4_0,esk6_2(X1,esk2_0))
| check_cpq(triple(X1,esk2_0,X2)) ),
inference(ef,[status(thm)],[c_0_96]) ).
cnf(c_0_99,lemma,
( check_cpq(triple(X1,esk2_0,X2))
| check_cpq(triple(X1,esk2_0,X3))
| ~ less_than(esk6_2(X1,esk2_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( less_than(esk6_2(X1,esk2_0),esk4_0)
| check_cpq(triple(X1,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
i_0_45 ).
cnf(c_0_102,lemma,
( check_cpq(triple(X1,esk2_0,X2))
| check_cpq(triple(X1,esk2_0,X3))
| check_cpq(triple(X1,esk2_0,X4)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( check_cpq(triple(esk1_0,esk2_0,X1))
| check_cpq(triple(esk1_0,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_104,negated_conjecture,
check_cpq(triple(esk1_0,esk2_0,X1)),
inference(ef,[status(thm)],[c_0_103]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV391+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 17:57:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.39/2.48 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.39/2.48 # No SInE strategy applied
% 8.39/2.48 # Trying AutoSched0 for 150 seconds
% 8.39/2.48 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.39/2.48 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.39/2.48 #
% 8.39/2.48 # Preprocessing time : 0.024 s
% 8.39/2.48 # Presaturation interreduction done
% 8.39/2.48
% 8.39/2.48 # Proof found!
% 8.39/2.48 # SZS status Theorem
% 8.39/2.48 # SZS output start CNFRefutation
% See solution above
% 8.39/2.48 # Training examples: 0 positive, 0 negative
% 8.39/2.48
% 8.39/2.48 # -------------------------------------------------
% 8.39/2.48 # User time : 0.043 s
% 8.39/2.48 # System time : 0.006 s
% 8.39/2.48 # Total time : 0.049 s
% 8.39/2.48 # Maximum resident set size: 7120 pages
% 8.39/2.48
%------------------------------------------------------------------------------