%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% 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 08:37:06 EDT 2022
% Result : Theorem 8.64s 2.38s
% Output : CNFRefutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of clauses : 62 ( 20 unt; 17 nHn; 62 RR)
% Number of literals : 192 ( 42 equ; 116 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| aElementOf0(esk4_3(X2,X3,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_30) ).
cnf(i_0_40,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_40) ).
cnf(i_0_39,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_39) ).
cnf(i_0_32,plain,
( X1 = sdtmndt0(X2,X3)
| esk4_3(X2,X3,X1) = X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk4_3(X2,X3,X1))
| ~ aElementOf0(esk4_3(X2,X3,X1),X1)
| ~ aElementOf0(esk4_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_32) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_3) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| esk4_3(X2,X3,X1) != X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_29) ).
cnf(i_0_41,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_41) ).
cnf(i_0_25,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_25) ).
cnf(i_0_47,negated_conjecture,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_47) ).
cnf(i_0_42,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_42) ).
cnf(i_0_51,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_51) ).
cnf(i_0_35,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_35) ).
cnf(i_0_49,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xS) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_49) ).
cnf(i_0_26,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_26) ).
cnf(i_0_52,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_52) ).
cnf(i_0_44,negated_conjecture,
( X1 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_44) ).
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_37) ).
cnf(i_0_38,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_38) ).
cnf(i_0_48,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| X1 != xx
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntcnjgwr/input.p',i_0_48) ).
cnf(c_0_72,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| aElementOf0(esk4_3(X2,X3,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_30 ).
cnf(c_0_73,hypothesis,
aElement0(xx),
i_0_40 ).
cnf(c_0_74,hypothesis,
( X1 = sdtmndt0(X2,xx)
| aElementOf0(esk4_3(X2,xx,X1),X1)
| aElementOf0(esk4_3(X2,xx,X1),X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_75,hypothesis,
aSet0(xS),
i_0_39 ).
cnf(c_0_76,plain,
( X1 = sdtmndt0(X2,X3)
| esk4_3(X2,X3,X1) = X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk4_3(X2,X3,X1))
| ~ aElementOf0(esk4_3(X2,X3,X1),X1)
| ~ aElementOf0(esk4_3(X2,X3,X1),X2) ),
i_0_32 ).
cnf(c_0_77,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_78,hypothesis,
( X1 = sdtmndt0(xS,xx)
| aElementOf0(esk4_3(xS,xx,X1),xS)
| aElementOf0(esk4_3(xS,xx,X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
( esk4_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X1)
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,hypothesis,
( sdtmndt0(xS,xx) = xS
| aElementOf0(esk4_3(xS,xx,xS),xS) ),
inference(spm,[status(thm)],[c_0_78,c_0_75]) ).
cnf(c_0_81,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| esk4_3(X2,X3,X1) != X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_29 ).
cnf(c_0_82,plain,
( esk4_3(xS,xx,xS) = xx
| sdtmndt0(xS,xx) = xS ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_73]),c_0_75])]),c_0_80]) ).
cnf(c_0_83,hypothesis,
~ aElementOf0(xx,xS),
i_0_41 ).
cnf(c_0_84,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
i_0_25 ).
cnf(c_0_85,plain,
sdtmndt0(xS,xx) = xS,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_73]),c_0_75])]),c_0_83]) ).
cnf(c_0_86,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_84,c_0_77]) ).
cnf(c_0_87,hypothesis,
( X1 = xS
| aElementOf0(esk4_3(xS,xx,X1),xS)
| aElementOf0(esk4_3(xS,xx,X1),X1)
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[c_0_78,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
i_0_47 ).
cnf(c_0_89,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
i_0_42 ).
cnf(c_0_90,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
i_0_51 ).
cnf(c_0_91,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_93,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_73]),c_0_75])]) ).
cnf(c_0_94,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_95,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xS) ),
i_0_49 ).
cnf(c_0_96,plain,
aElement0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_92]),c_0_88])]),c_0_93]) ).
cnf(c_0_97,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
i_0_26 ).
cnf(c_0_98,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_99,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
i_0_52 ).
cnf(c_0_100,negated_conjecture,
( aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( X1 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
i_0_44 ).
cnf(c_0_102,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_97]) ).
cnf(c_0_103,plain,
aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_92]),c_0_73]),c_0_99])]),c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)) != xx ),
inference(spm,[status(thm)],[c_0_101,c_0_92]) ).
cnf(c_0_105,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_106,plain,
aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),xS),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_73]),c_0_75])]),c_0_104]) ).
cnf(c_0_107,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
i_0_38 ).
cnf(c_0_108,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| X1 != xx
| ~ aElement0(X1) ),
i_0_48 ).
cnf(c_0_110,plain,
~ aElementOf0(esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_106]),c_0_85]),c_0_73]),c_0_75]),c_0_88])]),c_0_89]),c_0_101]) ).
cnf(c_0_111,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_107])]),c_0_108]),c_0_77]) ).
cnf(c_0_112,hypothesis,
aElementOf0(xx,sdtpldt0(xS,xx)),
inference(spm,[status(thm)],[c_0_109,c_0_73]) ).
cnf(c_0_113,plain,
esk4_3(xS,xx,sdtmndt0(sdtpldt0(xS,xx),xx)) != xx,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_81]),c_0_85]),c_0_73]),c_0_75]),c_0_88])]),c_0_89]) ).
cnf(c_0_114,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_103]),c_0_112]),c_0_99])]),c_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 21:49:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.64/2.38 # ENIGMATIC: Solved by autoschedule:
% 8.64/2.38 # No SInE strategy applied
% 8.64/2.38 # Trying AutoSched0 for 150 seconds
% 8.64/2.38 # AutoSched0-Mode selected heuristic G_E___207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 8.64/2.38 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.64/2.38 #
% 8.64/2.38 # Preprocessing time : 0.024 s
% 8.64/2.38 # Presaturation interreduction done
% 8.64/2.38
% 8.64/2.38 # Proof found!
% 8.64/2.38 # SZS status Theorem
% 8.64/2.38 # SZS output start CNFRefutation
% See solution above
% 8.64/2.38 # Training examples: 0 positive, 0 negative
% 8.64/2.38
% 8.64/2.38 # -------------------------------------------------
% 8.64/2.38 # User time : 0.058 s
% 8.64/2.38 # System time : 0.008 s
% 8.64/2.38 # Total time : 0.066 s
% 8.64/2.38 # Maximum resident set size: 7116 pages
% 8.64/2.38
%------------------------------------------------------------------------------