TSTP Solution File: SCT168+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT168+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 9.76s 2.74s
% Output : CNFRefutation 9.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 14 unt; 2 nHn; 14 RR)
% Number of literals : 44 ( 15 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 60 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_297,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_297) ).
cnf(i_0_27,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_27) ).
cnf(i_0_827,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_827) ).
cnf(i_0_784,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-ngttpjuy/lgb.p',i_0_784) ).
cnf(i_0_300,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-ngttpjuy/lgb.p',i_0_300) ).
cnf(i_0_830,plain,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_830) ).
cnf(i_0_422,plain,
( hAPP(X1,esk27_4(X2,X1,X3,X4)) = hAPP(X1,esk28_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_422) ).
cnf(i_0_421,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk27_4(X4,X3,X2,X1) != esk28_4(X4,X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_421) ).
cnf(i_0_330,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-ngttpjuy/lgb.p',i_0_330) ).
cnf(i_0_436,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ngttpjuy/lgb.p',i_0_436) ).
cnf(c_0_841,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
i_0_297 ).
cnf(c_0_842,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
i_0_27 ).
cnf(c_0_843,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_827 ).
cnf(c_0_844,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_784 ).
cnf(c_0_845,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_300 ).
cnf(c_0_846,plain,
c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1),
inference(spm,[status(thm)],[c_0_841,c_0_842]) ).
cnf(c_0_847,plain,
hAPP(c_COMBI(X1),X2) = X2,
i_0_830 ).
cnf(c_0_848,plain,
( hAPP(X1,esk27_4(X2,X1,X3,X4)) = hAPP(X1,esk28_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
i_0_422 ).
cnf(c_0_849,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk27_4(X4,X3,X2,X1) != esk28_4(X4,X3,X2,X1) ),
i_0_421 ).
cnf(c_0_850,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_330 ).
cnf(c_0_851,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
i_0_436 ).
cnf(c_0_852,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_843,c_0_844])]) ).
cnf(c_0_853,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Product__Type_Ounit,X3,X2) ),
inference(spm,[status(thm)],[c_0_845,c_0_846]) ).
cnf(c_0_854,plain,
c_Fun_Oinj__on(X1,X2,c_COMBI(X3),X4),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_847,c_0_848]),c_0_847]),c_0_849]) ).
cnf(c_0_855,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_850,c_0_851]),c_0_852]) ).
cnf(c_0_856,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_853,c_0_854]) ).
cnf(c_0_857,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_855,c_0_856])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SCT168+1 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 00:30:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.49 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.49 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.49 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.76/2.74 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.76/2.74 # No SInE strategy applied
% 9.76/2.74 # Trying AutoSched0 for 150 seconds
% 9.76/2.74 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.76/2.74 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.76/2.74 #
% 9.76/2.74 # Preprocessing time : 0.025 s
% 9.76/2.74 # Presaturation interreduction done
% 9.76/2.74
% 9.76/2.74 # Proof found!
% 9.76/2.74 # SZS status Theorem
% 9.76/2.74 # SZS output start CNFRefutation
% See solution above
% 9.76/2.74 # Training examples: 0 positive, 0 negative
% 9.76/2.74
% 9.76/2.74 # -------------------------------------------------
% 9.76/2.74 # User time : 0.285 s
% 9.76/2.74 # System time : 0.012 s
% 9.76/2.74 # Total time : 0.297 s
% 9.76/2.74 # Maximum resident set size: 7280 pages
% 9.76/2.74
%------------------------------------------------------------------------------