TSTP Solution File: SWW376+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW376+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : Thu Jul 21 00:02:08 EDT 2022
% Result : Theorem 10.99s 3.91s
% Output : CNFRefutation 10.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 23 unt; 0 nHn; 7 RR)
% Number of literals : 37 ( 23 equ; 11 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 114 ( 50 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_248,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_248) ).
cnf(i_0_242,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_242) ).
cnf(i_0_3198,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_3198) ).
cnf(i_0_939,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_939) ).
cnf(i_0_940,plain,
hAPP(c_Set_Oimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_940) ).
cnf(i_0_2078,plain,
hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_2078) ).
cnf(i_0_3200,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_3200) ).
cnf(i_0_686,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X3),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_686) ).
cnf(i_0_2638,plain,
hAPP(c_Nat_OSuc,X1) != X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_2638) ).
cnf(i_0_729,plain,
hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X2),X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wbwtv6r4/lgb.p',i_0_729) ).
cnf(c_0_3211,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
i_0_248 ).
cnf(c_0_3212,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_242 ).
cnf(c_0_3213,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
i_0_3198 ).
cnf(c_0_3214,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_3211,c_0_3212]) ).
cnf(c_0_3215,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
i_0_939 ).
cnf(c_0_3216,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_3213,c_0_3214]) ).
cnf(c_0_3217,plain,
( hBOOL(hAPP(hAPP(c_Set_Oimage(X1,X2,X3),X4),hAPP(X3,X5)))
| ~ hBOOL(hAPP(X4,X5)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3215,c_0_3216]),c_0_3216]) ).
cnf(c_0_3218,plain,
hAPP(c_Set_Oimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
i_0_940 ).
cnf(c_0_3219,plain,
hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
i_0_2078 ).
cnf(c_0_3220,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
i_0_3200 ).
cnf(c_0_3221,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X3),X2)) ),
i_0_686 ).
cnf(c_0_3222,plain,
( hBOOL(hAPP(X1,hAPP(c_Fun_Oid(X2),X3)))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3217,c_0_3218]) ).
cnf(c_0_3223,plain,
hAPP(c_Nat_OSuc,X1) != X1,
i_0_2638 ).
cnf(c_0_3224,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_Fun_Ocomp(X4,X5,X6,X7)),X8),X9) = hAPP(X7,hAPP(X9,hAPP(X8,X9))),
inference(spm,[status(thm)],[c_0_3219,c_0_3220]) ).
cnf(c_0_3225,plain,
( X1 = hAPP(c_Fun_Oid(X2),X3)
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X4),X3)) ),
inference(spm,[status(thm)],[c_0_3221,c_0_3222]) ).
cnf(c_0_3226,plain,
hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X2),X1)),
i_0_729 ).
cnf(c_0_3227,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_Fun_Ocomp(X4,X5,X6,c_Nat_OSuc)),X7),X8) != hAPP(X8,hAPP(X7,X8)),
inference(spm,[status(thm)],[c_0_3223,c_0_3224]) ).
cnf(c_0_3228,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(spm,[status(thm)],[c_0_3225,c_0_3226]) ).
cnf(c_0_3229,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_Fun_Ocomp(X4,X5,X6,c_Nat_OSuc)),c_Fun_Oid(X7)),X8) != hAPP(X8,X8),
inference(spm,[status(thm)],[c_0_3227,c_0_3228]) ).
cnf(c_0_3230,plain,
$false,
inference(er,[status(thm)],[c_0_3229]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW376+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 : n032.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
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 5 11:46:20 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.42 # ENIGMATIC: Selected SinE mode:
% 0.47/0.66 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.47/0.66 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.47/0.66 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.99/3.91 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.99/3.91 # No SInE strategy applied
% 10.99/3.91 # Trying AutoSched0 for 150 seconds
% 10.99/3.91 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.99/3.91 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.99/3.91 #
% 10.99/3.91 # Preprocessing time : 0.019 s
% 10.99/3.91 # Presaturation interreduction done
% 10.99/3.91
% 10.99/3.91 # Proof found!
% 10.99/3.91 # SZS status Theorem
% 10.99/3.91 # SZS output start CNFRefutation
% See solution above
% 10.99/3.91 # Training examples: 0 positive, 0 negative
% 10.99/3.91
% 10.99/3.91 # -------------------------------------------------
% 10.99/3.91 # User time : 0.196 s
% 10.99/3.91 # System time : 0.016 s
% 10.99/3.91 # Total time : 0.212 s
% 10.99/3.91 # Maximum resident set size: 9588 pages
% 10.99/3.91
%------------------------------------------------------------------------------