%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG098+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 20:24:59 EDT 2022
% Result : Theorem 9.34s 2.55s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 42 ( 23 unt; 0 nHn; 42 RR)
% Number of literals : 79 ( 7 equ; 41 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_26) ).
cnf(i_0_65,hypothesis,
aElementOf0(xb,xJ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_65) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_18) ).
cnf(i_0_19,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_19) ).
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_54) ).
cnf(i_0_59,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_59) ).
cnf(i_0_53,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(X3)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_53) ).
cnf(i_0_68,hypothesis,
sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))) = sdtpldt0(xw,smndt0(xx)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_68) ).
cnf(i_0_69,hypothesis,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_69) ).
cnf(i_0_63,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_63) ).
cnf(i_0_60,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_60) ).
cnf(i_0_70,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_70) ).
cnf(i_0_52,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_52) ).
cnf(i_0_62,hypothesis,
aElement0(xy),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_62) ).
cnf(i_0_66,hypothesis,
aElementOf0(xa,xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_66) ).
cnf(i_0_4,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_4) ).
cnf(i_0_3,plain,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-40e5nnvq/lgb.p',i_0_3) ).
cnf(c_0_88,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_89,hypothesis,
aElementOf0(xb,xJ),
i_0_65 ).
cnf(c_0_90,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_18 ).
cnf(c_0_91,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aElement0(X1) ),
i_0_19 ).
cnf(c_0_92,hypothesis,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_94,hypothesis,
aIdeal0(xJ),
i_0_59 ).
cnf(c_0_95,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(X3)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3) ),
i_0_53 ).
cnf(c_0_96,hypothesis,
sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))) = sdtpldt0(xw,smndt0(xx)),
i_0_68 ).
cnf(c_0_97,hypothesis,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
i_0_69 ).
cnf(c_0_98,plain,
( sdtpldt0(sdtasdt0(X1,X2),smndt0(X1)) = sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_99,plain,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_100,hypothesis,
aElement0(xx),
i_0_63 ).
cnf(c_0_101,hypothesis,
( aElementOf0(sdtpldt0(xw,smndt0(xx)),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),X1)
| ~ aElementOf0(sdtasdt0(xy,xa),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,hypothesis,
( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100])]) ).
cnf(c_0_103,hypothesis,
aIdeal0(xI),
i_0_60 ).
cnf(c_0_104,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
i_0_70 ).
cnf(c_0_105,hypothesis,
( ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sdtasdt0(xy,xa),xI) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]),c_0_104]) ).
cnf(c_0_106,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
i_0_52 ).
cnf(c_0_107,hypothesis,
aElement0(xy),
i_0_62 ).
cnf(c_0_108,hypothesis,
aElementOf0(xa,xI),
i_0_66 ).
cnf(c_0_109,plain,
~ aElement0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_103]),c_0_107]),c_0_108])]) ).
cnf(c_0_110,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
i_0_4 ).
cnf(c_0_111,plain,
aElement0(sz10),
i_0_3 ).
cnf(c_0_112,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG098+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Mon May 30 12:07:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 9.34/2.55 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.34/2.55 # No SInE strategy applied
% 9.34/2.55 # Trying AutoSched0 for 150 seconds
% 9.34/2.55 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.34/2.55 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.34/2.55 #
% 9.34/2.55 # Preprocessing time : 0.024 s
% 9.34/2.55 # Presaturation interreduction done
% 9.34/2.55
% 9.34/2.55 # Proof found!
% 9.34/2.55 # SZS status Theorem
% 9.34/2.55 # SZS output start CNFRefutation
% See solution above
% 9.34/2.55 # Training examples: 0 positive, 0 negative
% 9.34/2.55
% 9.34/2.55 # -------------------------------------------------
% 9.34/2.55 # User time : 0.103 s
% 9.34/2.55 # System time : 0.012 s
% 9.34/2.55 # Total time : 0.115 s
% 9.34/2.55 # Maximum resident set size: 7120 pages
% 9.34/2.55
%------------------------------------------------------------------------------