TSTP Solution File: NUM537+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM537+2 : 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 08:37:06 EDT 2022
% Result : Theorem 8.66s 2.40s
% Output : CNFRefutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 16 unt; 25 nHn; 59 RR)
% Number of literals : 164 ( 42 equ; 81 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-5csetu32/input.p',i_0_35) ).
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-5csetu32/input.p',i_0_26) ).
cnf(i_0_70,negated_conjecture,
( aElementOf0(esk5_0,xS)
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_70) ).
cnf(i_0_40,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_40) ).
cnf(i_0_210,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_210) ).
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-5csetu32/input.p',i_0_25) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_3) ).
cnf(i_0_39,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_39) ).
cnf(i_0_69,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_69) ).
cnf(i_0_83,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_83) ).
cnf(i_0_187,negated_conjecture,
( aElement0(X1)
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_187) ).
cnf(i_0_57,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_57) ).
cnf(i_0_154,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(X2,sdtpldt0(xS,xx))
| X1 != xx
| X2 != xx
| ~ aElement0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_154) ).
cnf(i_0_38,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_38) ).
cnf(i_0_140,negated_conjecture,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_140) ).
cnf(i_0_56,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_56) ).
cnf(i_0_98,negated_conjecture,
( X1 != xx
| X2 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_98) ).
cnf(i_0_41,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5csetu32/input.p',i_0_41) ).
cnf(c_0_229,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_230,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
i_0_26 ).
cnf(c_0_231,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_229]) ).
cnf(c_0_232,negated_conjecture,
( aElementOf0(esk5_0,xS)
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
i_0_70 ).
cnf(c_0_233,hypothesis,
aElement0(xx),
i_0_40 ).
cnf(c_0_234,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
i_0_210 ).
cnf(c_0_235,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
i_0_25 ).
cnf(c_0_236,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_237,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_230]) ).
cnf(c_0_238,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_234])]) ).
cnf(c_0_239,hypothesis,
aSet0(xS),
i_0_39 ).
cnf(c_0_240,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
i_0_69 ).
cnf(c_0_241,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
i_0_83 ).
cnf(c_0_242,negated_conjecture,
( aElement0(X1)
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
i_0_187 ).
cnf(c_0_243,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_235,c_0_236])]) ).
cnf(c_0_244,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk5_0,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_233]),c_0_239])]),c_0_240]) ).
cnf(c_0_245,negated_conjecture,
( X1 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_246,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk5_0,sdtpldt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_239])]) ).
cnf(c_0_247,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
i_0_57 ).
cnf(c_0_248,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(X2,sdtpldt0(xS,xx))
| X1 != xx
| X2 != xx
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_154 ).
cnf(c_0_249,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_233])]),c_0_247]) ).
cnf(c_0_250,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
i_0_38 ).
cnf(c_0_251,negated_conjecture,
aElementOf0(xx,sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_248])]),c_0_233])]) ).
cnf(c_0_252,plain,
( esk5_0 = xx
| esk6_0 = xx
| aElementOf0(esk6_0,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_249]),c_0_233]),c_0_234])]) ).
cnf(c_0_253,negated_conjecture,
sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = sdtpldt0(xS,xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_234])]) ).
cnf(c_0_254,negated_conjecture,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
i_0_140 ).
cnf(c_0_255,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
i_0_56 ).
cnf(c_0_256,plain,
( esk5_0 = xx
| esk6_0 = xx
| aElementOf0(esk6_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_252]),c_0_233]),c_0_239])]) ).
cnf(c_0_257,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_253]),c_0_233]),c_0_254])]) ).
cnf(c_0_258,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_259,negated_conjecture,
( X1 != xx
| X2 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
i_0_98 ).
cnf(c_0_260,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_246]),c_0_233])]),c_0_258]) ).
cnf(c_0_261,negated_conjecture,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_259])]) ).
cnf(c_0_262,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk5_0,xS) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_260]),c_0_261]) ).
cnf(c_0_263,plain,
( esk5_0 = xx
| aElementOf0(esk5_0,sdtpldt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_262]),c_0_239])]) ).
cnf(c_0_264,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_263]),c_0_233])]) ).
cnf(c_0_265,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_247,c_0_264]) ).
cnf(c_0_266,negated_conjecture,
esk5_0 = xx,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_260]),c_0_261]) ).
cnf(c_0_267,hypothesis,
~ aElementOf0(xx,xS),
i_0_41 ).
cnf(c_0_268,negated_conjecture,
esk6_0 = xx,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_266]),c_0_267]) ).
cnf(c_0_269,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_266]),c_0_267]),c_0_268]),c_0_261]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM537+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 00:29:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.66/2.40 # ENIGMATIC: Solved by autoschedule:
% 8.66/2.40 # No SInE strategy applied
% 8.66/2.40 # Trying AutoSched0 for 150 seconds
% 8.66/2.40 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.66/2.40 # and selection function SelectCQArNTNpEqFirst.
% 8.66/2.40 #
% 8.66/2.40 # Preprocessing time : 0.030 s
% 8.66/2.40 # Presaturation interreduction done
% 8.66/2.40
% 8.66/2.40 # Proof found!
% 8.66/2.40 # SZS status Theorem
% 8.66/2.40 # SZS output start CNFRefutation
% See solution above
% 8.66/2.40 # Training examples: 0 positive, 0 negative
% 8.66/2.40
% 8.66/2.40 # -------------------------------------------------
% 8.66/2.40 # User time : 0.095 s
% 8.66/2.40 # System time : 0.010 s
% 8.66/2.40 # Total time : 0.105 s
% 8.66/2.40 # Maximum resident set size: 7120 pages
% 8.66/2.40
%------------------------------------------------------------------------------