TSTP Solution File: NUM629+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM629+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:38:05 EDT 2022
% Result : Theorem 7.91s 2.35s
% Output : CNFRefutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of clauses : 62 ( 29 unt; 2 nHn; 62 RR)
% Number of literals : 132 ( 15 equ; 72 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_37) ).
cnf(i_0_220,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) = xD,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_220) ).
cnf(i_0_184,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_184) ).
cnf(i_0_215,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_215) ).
cnf(i_0_216,hypothesis,
aElementOf0(xn,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_216) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_3) ).
cnf(i_0_210,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_210) ).
cnf(i_0_194,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_194) ).
cnf(i_0_162,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_162) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_166) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_167) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_15) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_45) ).
cnf(i_0_104,plain,
( aElementOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X2 != slbdtsldtrb0(X4,X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X1,X4)
| ~ aElementOf0(X3,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_104) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_14) ).
cnf(i_0_219,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_219) ).
cnf(i_0_213,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_213) ).
cnf(i_0_160,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_160) ).
cnf(i_0_221,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_221) ).
cnf(i_0_12,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_12) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_13) ).
cnf(i_0_208,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-au2x5k8q/input.p',i_0_208) ).
cnf(c_0_244,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_245,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) = xD,
i_0_220 ).
cnf(c_0_246,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_184 ).
cnf(c_0_247,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
i_0_215 ).
cnf(c_0_248,hypothesis,
aElementOf0(xn,szNzAzT0),
i_0_216 ).
cnf(c_0_249,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_250,hypothesis,
aElementOf0(xp,xO),
i_0_210 ).
cnf(c_0_251,hypothesis,
aSet0(xO),
i_0_194 ).
cnf(c_0_252,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
i_0_162 ).
cnf(c_0_253,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_254,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_255,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_244]) ).
cnf(c_0_256,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_248])]) ).
cnf(c_0_257,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251])]) ).
cnf(c_0_258,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_259,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_260,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_252,c_0_253]),c_0_254]) ).
cnf(c_0_261,plain,
( aSet0(xD)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257])]) ).
cnf(c_0_262,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_254]),c_0_259])]) ).
cnf(c_0_263,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_245]),c_0_248])]) ).
cnf(c_0_264,plain,
aSet0(xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_248])]) ).
cnf(c_0_265,plain,
( aElementOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X2 != slbdtsldtrb0(X4,X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X1,X4)
| ~ aElementOf0(X3,szNzAzT0) ),
i_0_104 ).
cnf(c_0_266,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_267,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
i_0_219 ).
cnf(c_0_268,plain,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_263]),c_0_264])]) ).
cnf(c_0_269,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_265])]) ).
cnf(c_0_270,hypothesis,
sbrdtbr0(xP) = xk,
i_0_213 ).
cnf(c_0_271,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_160 ).
cnf(c_0_272,plain,
( aElementOf0(X1,xD)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_263]),c_0_264])]) ).
cnf(c_0_273,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268])]) ).
cnf(c_0_274,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
i_0_221 ).
cnf(c_0_275,hypothesis,
( aElementOf0(xP,slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(xP,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271])]) ).
cnf(c_0_276,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_277,plain,
( aElementOf0(X1,xD)
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_278,negated_conjecture,
( ~ aSubsetOf0(xP,xD)
| ~ aSet0(xD) ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_279,plain,
( aSubsetOf0(X1,xD)
| ~ aElementOf0(esk2_2(xD,X1),xP)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_264])]) ).
cnf(c_0_280,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_281,hypothesis,
aSet0(xP),
i_0_208 ).
cnf(c_0_282,negated_conjecture,
~ aSubsetOf0(xP,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_264])]) ).
cnf(c_0_283,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_281]),c_0_264])]),c_0_282]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM629+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n008.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 23:23:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 7.91/2.35 # ENIGMATIC: Solved by autoschedule:
% 7.91/2.35 # No SInE strategy applied
% 7.91/2.35 # Trying AutoSched0 for 150 seconds
% 7.91/2.35 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 7.91/2.35 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.91/2.35 #
% 7.91/2.35 # Preprocessing time : 0.025 s
% 7.91/2.35 # Presaturation interreduction done
% 7.91/2.35
% 7.91/2.35 # Proof found!
% 7.91/2.35 # SZS status Theorem
% 7.91/2.35 # SZS output start CNFRefutation
% See solution above
% 7.91/2.35 # Training examples: 0 positive, 0 negative
% 7.91/2.35
% 7.91/2.35 # -------------------------------------------------
% 7.91/2.35 # User time : 0.102 s
% 7.91/2.35 # System time : 0.009 s
% 7.91/2.35 # Total time : 0.111 s
% 7.91/2.35 # Maximum resident set size: 7116 pages
% 7.91/2.35
%------------------------------------------------------------------------------