%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT167+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 21:16:42 EDT 2022
% Result : Theorem 5.42s 2.61s
% Output : CNFRefutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 37 ( 17 unt; 2 nHn; 19 RR)
% Number of literals : 63 ( 15 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 83 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_742,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-t36htxm_/lgb.p',i_0_742) ).
cnf(i_0_767,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-t36htxm_/lgb.p',i_0_767) ).
cnf(i_0_322,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-t36htxm_/lgb.p',i_0_322) ).
cnf(i_0_307,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_307) ).
cnf(i_0_6,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_6) ).
cnf(i_0_834,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_834) ).
cnf(i_0_791,plain,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X4)) = X4
| c_Set_Oimage(X2,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_791) ).
cnf(i_0_340,plain,
( c_Set_Oimage(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_340) ).
cnf(i_0_310,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-t36htxm_/lgb.p',i_0_310) ).
cnf(i_0_838,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_838) ).
cnf(i_0_428,plain,
( hAPP(X1,esk29_4(X2,X1,X3,X4)) = hAPP(X1,esk30_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_428) ).
cnf(i_0_427,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk29_4(X4,X3,X2,X1) != esk30_4(X4,X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_427) ).
cnf(i_0_442,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t36htxm_/lgb.p',i_0_442) ).
cnf(c_0_852,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_742 ).
cnf(c_0_853,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_767 ).
cnf(c_0_854,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_852,c_0_853]) ).
cnf(c_0_855,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_322 ).
cnf(c_0_856,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
i_0_307 ).
cnf(c_0_857,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
i_0_6 ).
cnf(c_0_858,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_834 ).
cnf(c_0_859,plain,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X4)) = X4
| c_Set_Oimage(X2,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)) ),
i_0_791 ).
cnf(c_0_860,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_854,c_0_855]) ).
cnf(c_0_861,plain,
c_Finite__Set_Ofinite(tc_HOL_Obool,X1),
inference(spm,[status(thm)],[c_0_856,c_0_857]) ).
cnf(c_0_862,plain,
c_Set_Oimage(X1,X2,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_858,c_0_859])]) ).
cnf(c_0_863,plain,
( c_Set_Oimage(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
i_0_340 ).
cnf(c_0_864,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_310 ).
cnf(c_0_865,plain,
c_Finite__Set_Ofinite(tc_Option_Ooption(tc_HOL_Obool),X1),
inference(spm,[status(thm)],[c_0_860,c_0_861]) ).
cnf(c_0_866,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
i_0_838 ).
cnf(c_0_867,plain,
( hAPP(X1,esk29_4(X2,X1,X3,X4)) = hAPP(X1,esk30_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
i_0_428 ).
cnf(c_0_868,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk29_4(X4,X3,X2,X1) != esk30_4(X4,X3,X2,X1) ),
i_0_427 ).
cnf(c_0_869,plain,
( ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ c_Fun_Oinj__on(X1,X1,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_862,c_0_863]) ).
cnf(c_0_870,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
i_0_442 ).
cnf(c_0_871,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Option_Ooption(tc_HOL_Obool),X3,X2) ),
inference(spm,[status(thm)],[c_0_864,c_0_865]) ).
cnf(c_0_872,plain,
c_Fun_Oinj__on(X1,X2,c_COMBK(X3,X4),X5),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_866,c_0_867]),c_0_866]),c_0_868]) ).
cnf(c_0_873,plain,
~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),
inference(spm,[status(thm)],[c_0_869,c_0_870]) ).
cnf(c_0_874,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_871,c_0_872]) ).
cnf(c_0_875,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_873,c_0_874])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SCT167+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 00:08:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 5.42/2.61 # ENIGMATIC: Solved by autoschedule-lgb:
% 5.42/2.61 # No SInE strategy applied
% 5.42/2.61 # Trying AutoSched0 for 150 seconds
% 5.42/2.61 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.42/2.61 # and selection function SelectComplexExceptUniqMaxHorn.
% 5.42/2.61 #
% 5.42/2.61 # Preprocessing time : 0.025 s
% 5.42/2.61 # Presaturation interreduction done
% 5.42/2.61
% 5.42/2.61 # Proof found!
% 5.42/2.61 # SZS status Theorem
% 5.42/2.61 # SZS output start CNFRefutation
% See solution above
% 5.42/2.61 # Training examples: 0 positive, 0 negative
% 5.42/2.61
% 5.42/2.61 # -------------------------------------------------
% 5.42/2.61 # User time : 0.045 s
% 5.42/2.61 # System time : 0.005 s
% 5.42/2.61 # Total time : 0.050 s
% 5.42/2.61 # Maximum resident set size: 7288 pages
% 5.42/2.61
%------------------------------------------------------------------------------