TSTP Solution File: SCT161+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT161+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 21:16:40 EDT 2022
% Result : Theorem 8.49s 2.68s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 17 unt; 2 nHn; 18 RR)
% Number of literals : 61 ( 10 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 78 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_675,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_675) ).
cnf(i_0_709,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_709) ).
cnf(i_0_262,plain,
( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_262) ).
cnf(i_0_248,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_248) ).
cnf(i_0_7,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_7) ).
cnf(i_0_672,plain,
( X1 = esk52_4(X2,X3,X4,X5)
| X2 != hAPP(X3,X1)
| ~ c_Fun_Oinj__on(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Set_Oimage(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_672) ).
cnf(i_0_674,plain,
hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_674) ).
cnf(i_0_370,plain,
c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_370) ).
cnf(i_0_251,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,X3,X4,X2)
| ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X1,X3,X4,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_251) ).
cnf(i_0_381,plain,
( hAPP(X1,esk34_4(X2,X1,X3,X4)) = hAPP(X1,esk35_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_381) ).
cnf(i_0_380,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk34_4(X4,X3,X2,X1) != esk35_4(X4,X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_380) ).
cnf(i_0_365,plain,
~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mrzz2jqq/lgb.p',i_0_365) ).
cnf(c_0_722,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3)) ),
i_0_675 ).
cnf(c_0_723,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
i_0_709 ).
cnf(c_0_724,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_722,c_0_723]) ).
cnf(c_0_725,plain,
( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
i_0_262 ).
cnf(c_0_726,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
i_0_248 ).
cnf(c_0_727,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
i_0_7 ).
cnf(c_0_728,plain,
( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),X2)
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_724,c_0_725]) ).
cnf(c_0_729,plain,
c_Finite__Set_Ofinite(tc_HOL_Obool,X1),
inference(spm,[status(thm)],[c_0_726,c_0_727]) ).
cnf(c_0_730,plain,
( X1 = esk52_4(X2,X3,X4,X5)
| X2 != hAPP(X3,X1)
| ~ c_Fun_Oinj__on(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Set_Oimage(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))) ),
i_0_672 ).
cnf(c_0_731,plain,
hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
i_0_674 ).
cnf(c_0_732,plain,
c_Finite__Set_Ofinite(tc_Option_Ooption(tc_HOL_Obool),X1),
inference(spm,[status(thm)],[c_0_728,c_0_729]) ).
cnf(c_0_733,plain,
( esk52_4(hAPP(X1,X2),X1,X3,X4) = X2
| ~ c_Fun_Oinj__on(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_730]),c_0_731])]) ).
cnf(c_0_734,plain,
c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
i_0_370 ).
cnf(c_0_735,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,X3,X4,X2)
| ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X1,X3,X4,X2)) ),
i_0_251 ).
cnf(c_0_736,plain,
c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Option_Ooption(tc_HOL_Obool)),X1),
inference(spm,[status(thm)],[c_0_728,c_0_732]) ).
cnf(c_0_737,plain,
esk52_4(hAPP(v_h____,X1),v_h____,tc_Nat_Onat,tc_Arrow__Order__Mirabelle_Oindi) = X1,
inference(spm,[status(thm)],[c_0_733,c_0_734]) ).
cnf(c_0_738,plain,
( hAPP(X1,esk34_4(X2,X1,X3,X4)) = hAPP(X1,esk35_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
i_0_381 ).
cnf(c_0_739,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk34_4(X4,X3,X2,X1) != esk35_4(X4,X3,X2,X1) ),
i_0_380 ).
cnf(c_0_740,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Option_Ooption(tc_Option_Ooption(tc_HOL_Obool)),X3,X2) ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_741,plain,
c_Fun_Oinj__on(X1,X2,v_h____,X3),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_738]),c_0_737]),c_0_739]) ).
cnf(c_0_742,plain,
~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),
i_0_365 ).
cnf(c_0_743,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_740,c_0_741]) ).
cnf(c_0_744,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_742,c_0_743])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SCT161+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : Sat Jul 2 08:37:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.49/2.68 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.49/2.68 # No SInE strategy applied
% 8.49/2.68 # Trying AutoSched0 for 150 seconds
% 8.49/2.68 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.49/2.68 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.49/2.68 #
% 8.49/2.68 # Preprocessing time : 0.027 s
% 8.49/2.68 # Presaturation interreduction done
% 8.49/2.68
% 8.49/2.68 # Proof found!
% 8.49/2.68 # SZS status Theorem
% 8.49/2.68 # SZS output start CNFRefutation
% See solution above
% 8.49/2.68 # Training examples: 0 positive, 0 negative
% 8.49/2.68
% 8.49/2.68 # -------------------------------------------------
% 8.49/2.68 # User time : 0.053 s
% 8.49/2.68 # System time : 0.008 s
% 8.49/2.68 # Total time : 0.061 s
% 8.49/2.68 # Maximum resident set size: 7192 pages
% 8.49/2.68
%------------------------------------------------------------------------------