TSTP Solution File: SCT123+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT123+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 21:16:27 EDT 2022
% Result : Theorem 11.22s 3.05s
% Output : CNFRefutation 11.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 17 unt; 0 nHn; 15 RR)
% Number of literals : 51 ( 13 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-5 aty)
% Number of variables : 96 ( 41 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_794,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_794) ).
cnf(i_0_393,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_393) ).
cnf(i_0_263,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X4) = X5,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_263) ).
cnf(i_0_545,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_545) ).
cnf(i_0_544,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_544) ).
cnf(i_0_25,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_L),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_25) ).
cnf(i_0_250,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk40_5(X5,X3,X2,X4,X1))),X5)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_250) ).
cnf(i_0_793,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_793) ).
cnf(i_0_589,plain,
c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)) = c_Arrow__Order__Mirabelle_OProf,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_589) ).
cnf(i_0_19,plain,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_19) ).
cnf(i_0_26,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ri0rug_o/lgb.p',i_0_26) ).
cnf(c_0_806,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
i_0_794 ).
cnf(c_0_807,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
i_0_393 ).
cnf(c_0_808,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X4) = X5,
i_0_263 ).
cnf(c_0_809,plain,
( hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X5),X6)),X6) = hAPP(hAPP(X4,X6),X6)
| ~ class_Lattices_Osemilattice__inf(X5) ),
inference(spm,[status(thm)],[c_0_806,c_0_807]) ).
cnf(c_0_810,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_Fun_Ofun__upd(X4,X5,X6,X7,X8)),X9),X7) = hAPP(X8,hAPP(X9,X7)),
inference(spm,[status(thm)],[c_0_806,c_0_808]) ).
cnf(c_0_811,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
i_0_545 ).
cnf(c_0_812,plain,
( hAPP(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),X3),X3)) = hAPP(X1,X3)
| ~ class_Lattices_Osemilattice__inf(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_809,c_0_810]),c_0_808]) ).
cnf(c_0_813,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_544 ).
cnf(c_0_814,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2),X3))
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X2)) ),
inference(spm,[status(thm)],[c_0_811,c_0_812]) ).
cnf(c_0_815,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_L),c_Arrow__Order__Mirabelle_OLin)),
i_0_25 ).
cnf(c_0_816,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk40_5(X5,X3,X2,X4,X1))),X5)) ),
i_0_250 ).
cnf(c_0_817,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
i_0_793 ).
cnf(c_0_818,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ class_Lattices_Osemilattice__inf(X4)
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X4),X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_813,c_0_812]) ).
cnf(c_0_819,hypothesis,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Arrow__Order__Mirabelle_OLin),c_Arrow__Order__Mirabelle_OLin),v_L))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(spm,[status(thm)],[c_0_814,c_0_815]) ).
cnf(c_0_820,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),c_COMBK(X3,X4,X5)),c_FuncSet_OPi(X1,X2,X6,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X5),X7)) ),
inference(spm,[status(thm)],[c_0_816,c_0_817]) ).
cnf(c_0_821,plain,
c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)) = c_Arrow__Order__Mirabelle_OProf,
i_0_589 ).
cnf(c_0_822,hypothesis,
( hBOOL(hAPP(hAPP(c_member(X1),v_L),c_Arrow__Order__Mirabelle_OLin))
| ~ class_Lattices_Osemilattice__inf(X2) ),
inference(spm,[status(thm)],[c_0_818,c_0_819]) ).
cnf(c_0_823,plain,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
i_0_19 ).
cnf(c_0_824,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_L)),c_Arrow__Order__Mirabelle_OProf)),
i_0_26 ).
cnf(c_0_825,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(X1,X2,X3)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(spm,[status(thm)],[c_0_820,c_0_821]) ).
cnf(c_0_826,plain,
hBOOL(hAPP(hAPP(c_member(X1),v_L),c_Arrow__Order__Mirabelle_OLin)),
inference(spm,[status(thm)],[c_0_822,c_0_823]) ).
cnf(c_0_827,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_825]),c_0_826])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SCT123+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jul 2 06:53:47 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.45 # ENIGMATIC: Selected SinE mode:
% 0.17/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.22/3.05 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.22/3.05 # No SInE strategy applied
% 11.22/3.05 # Trying AutoSched0 for 150 seconds
% 11.22/3.05 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.22/3.05 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.22/3.05 #
% 11.22/3.05 # Preprocessing time : 0.024 s
% 11.22/3.05 # Presaturation interreduction done
% 11.22/3.05
% 11.22/3.05 # Proof found!
% 11.22/3.05 # SZS status Theorem
% 11.22/3.05 # SZS output start CNFRefutation
% See solution above
% 11.22/3.05 # Training examples: 0 positive, 0 negative
% 11.22/3.05
% 11.22/3.05 # -------------------------------------------------
% 11.22/3.05 # User time : 0.246 s
% 11.22/3.05 # System time : 0.018 s
% 11.22/3.05 # Total time : 0.264 s
% 11.22/3.05 # Maximum resident set size: 7232 pages
% 11.22/3.05
%------------------------------------------------------------------------------