TSTP Solution File: SCT164+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT164+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 21:16:41 EDT 2022
% Result : Theorem 5.08s 2.79s
% Output : CNFRefutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 16 unt; 2 nHn; 16 RR)
% Number of literals : 50 ( 15 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 73 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_682,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-ikemhjk5/lgb.p',i_0_682) ).
cnf(i_0_707,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-ikemhjk5/lgb.p',i_0_707) ).
cnf(i_0_248,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ikemhjk5/lgb.p',i_0_248) ).
cnf(i_0_774,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ikemhjk5/lgb.p',i_0_774) ).
cnf(i_0_731,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-ikemhjk5/lgb.p',i_0_731) ).
cnf(i_0_246,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-ikemhjk5/lgb.p',i_0_246) ).
cnf(i_0_778,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ikemhjk5/lgb.p',i_0_778) ).
cnf(i_0_368,plain,
( hAPP(X1,esk28_4(X2,X1,X3,X4)) = hAPP(X1,esk29_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ikemhjk5/lgb.p',i_0_368) ).
cnf(i_0_367,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk28_4(X4,X3,X2,X1) != esk29_4(X4,X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ikemhjk5/lgb.p',i_0_367) ).
cnf(i_0_276,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-ikemhjk5/lgb.p',i_0_276) ).
cnf(i_0_382,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ikemhjk5/lgb.p',i_0_382) ).
cnf(c_0_790,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_682 ).
cnf(c_0_791,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_707 ).
cnf(c_0_792,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_790,c_0_791]) ).
cnf(c_0_793,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
i_0_248 ).
cnf(c_0_794,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_774 ).
cnf(c_0_795,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_731 ).
cnf(c_0_796,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_246 ).
cnf(c_0_797,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,X1),
inference(spm,[status(thm)],[c_0_792,c_0_793]) ).
cnf(c_0_798,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
i_0_778 ).
cnf(c_0_799,plain,
( hAPP(X1,esk28_4(X2,X1,X3,X4)) = hAPP(X1,esk29_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
i_0_368 ).
cnf(c_0_800,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk28_4(X4,X3,X2,X1) != esk29_4(X4,X3,X2,X1) ),
i_0_367 ).
cnf(c_0_801,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_276 ).
cnf(c_0_802,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
i_0_382 ).
cnf(c_0_803,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_794,c_0_795])]) ).
cnf(c_0_804,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Arrow__Order__Mirabelle_Oindi,X3,X2) ),
inference(spm,[status(thm)],[c_0_796,c_0_797]) ).
cnf(c_0_805,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_798,c_0_799]),c_0_798]),c_0_800]) ).
cnf(c_0_806,plain,
~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_802]),c_0_803]) ).
cnf(c_0_807,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_804,c_0_805]) ).
cnf(c_0_808,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_806,c_0_807])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SCT164+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 07:07:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.50 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.50 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.50 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 5.08/2.79 # ENIGMATIC: Solved by autoschedule-lgb:
% 5.08/2.79 # No SInE strategy applied
% 5.08/2.79 # Trying AutoSched0 for 150 seconds
% 5.08/2.79 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.08/2.79 # and selection function SelectComplexExceptUniqMaxHorn.
% 5.08/2.79 #
% 5.08/2.79 # Preprocessing time : 0.026 s
% 5.08/2.79 # Presaturation interreduction done
% 5.08/2.79
% 5.08/2.79 # Proof found!
% 5.08/2.79 # SZS status Theorem
% 5.08/2.79 # SZS output start CNFRefutation
% See solution above
% 5.08/2.79 # Training examples: 0 positive, 0 negative
% 5.08/2.79
% 5.08/2.79 # -------------------------------------------------
% 5.08/2.79 # User time : 0.143 s
% 5.08/2.79 # System time : 0.015 s
% 5.08/2.79 # Total time : 0.158 s
% 5.08/2.79 # Maximum resident set size: 7224 pages
% 5.08/2.79
%------------------------------------------------------------------------------