%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM631+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:38:06 EDT 2022
% Result : Theorem 9.08s 2.44s
% Output : CNFRefutation 9.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of clauses : 78 ( 47 unt; 0 nHn; 78 RR)
% Number of literals : 147 ( 39 equ; 73 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_162) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_167) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_166) ).
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_37) ).
cnf(i_0_220,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) = xD,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_220) ).
cnf(i_0_184,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_184) ).
cnf(i_0_215,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_215) ).
cnf(i_0_216,hypothesis,
aElementOf0(xn,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_216) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_3) ).
cnf(i_0_210,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_210) ).
cnf(i_0_196,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_196) ).
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/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_104) ).
cnf(i_0_207,hypothesis,
sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_207) ).
cnf(i_0_206,hypothesis,
szmzizndt0(xQ) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_206) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_15) ).
cnf(i_0_203,hypothesis,
aSubsetOf0(xQ,xO),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_203) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_45) ).
cnf(i_0_213,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_213) ).
cnf(i_0_160,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_160) ).
cnf(i_0_38,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_38) ).
cnf(i_0_209,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_209) ).
cnf(i_0_182,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = esk24_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_182) ).
cnf(i_0_208,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_208) ).
cnf(i_0_222,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_222) ).
cnf(i_0_223,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_223) ).
cnf(i_0_218,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_218) ).
cnf(i_0_219,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_219) ).
cnf(i_0_187,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ki6vie9_/lgb.p',i_0_187) ).
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,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_254,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_255,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_256,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) = xD,
i_0_220 ).
cnf(c_0_257,hypothesis,
( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_184 ).
cnf(c_0_258,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
i_0_215 ).
cnf(c_0_259,hypothesis,
aElementOf0(xn,szNzAzT0),
i_0_216 ).
cnf(c_0_260,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_261,hypothesis,
aElementOf0(xp,xO),
i_0_210 ).
cnf(c_0_262,hypothesis,
aSet0(xO),
i_0_196 ).
cnf(c_0_263,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_264,hypothesis,
sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
i_0_207 ).
cnf(c_0_265,hypothesis,
szmzizndt0(xQ) = xp,
i_0_206 ).
cnf(c_0_266,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_267,hypothesis,
aSubsetOf0(xQ,xO),
i_0_203 ).
cnf(c_0_268,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_269,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_255]) ).
cnf(c_0_270,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_256,c_0_257]),c_0_258]),c_0_259])]) ).
cnf(c_0_271,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262])]) ).
cnf(c_0_272,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_273,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_263])]) ).
cnf(c_0_274,hypothesis,
sbrdtbr0(xP) = xk,
i_0_213 ).
cnf(c_0_275,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_160 ).
cnf(c_0_276,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
i_0_38 ).
cnf(c_0_277,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_278,hypothesis,
aElementOf0(xp,xQ),
i_0_209 ).
cnf(c_0_279,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_262])]) ).
cnf(c_0_280,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_256]),c_0_259])]) ).
cnf(c_0_281,plain,
( aSet0(xD)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271])]) ).
cnf(c_0_282,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_253]),c_0_272])]) ).
cnf(c_0_283,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = esk24_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
i_0_182 ).
cnf(c_0_284,hypothesis,
( aElementOf0(xP,slbdtsldtrb0(X1,xk))
| ~ aSet0(X1)
| ~ aSubsetOf0(xP,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275])]) ).
cnf(c_0_285,hypothesis,
aSet0(xP),
i_0_208 ).
cnf(c_0_286,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
i_0_222 ).
cnf(c_0_287,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278])]),c_0_279])]) ).
cnf(c_0_288,plain,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(xD) ),
inference(spm,[status(thm)],[c_0_266,c_0_280]) ).
cnf(c_0_289,plain,
aSet0(xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_259])]) ).
cnf(c_0_290,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
i_0_223 ).
cnf(c_0_291,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
i_0_218 ).
cnf(c_0_292,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = esk24_1(X1)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285])]) ).
cnf(c_0_293,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
i_0_219 ).
cnf(c_0_294,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,xQ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_257]),c_0_258]),c_0_259])]),c_0_287]) ).
cnf(c_0_295,plain,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289])]) ).
cnf(c_0_296,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xd,X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
i_0_187 ).
cnf(c_0_297,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(rw,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_298,hypothesis,
sdtlpdtrp0(xc,xQ) = esk24_1(xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]),c_0_295]),c_0_259])]) ).
cnf(c_0_299,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_284]),c_0_285])]) ).
cnf(c_0_300,negated_conjecture,
esk24_1(xn) != szDzizrdt0(xd),
inference(rw,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_301,hypothesis,
$false,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_293]),c_0_294]),c_0_298]),c_0_291]),c_0_295]),c_0_259])]),c_0_300]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM631+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 23:43:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 9.08/2.44 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.08/2.44 # No SInE strategy applied
% 9.08/2.44 # Trying AutoSched0 for 150 seconds
% 9.08/2.44 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 9.08/2.44 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.08/2.44 #
% 9.08/2.44 # Preprocessing time : 0.026 s
% 9.08/2.44
% 9.08/2.44 # Proof found!
% 9.08/2.44 # SZS status Theorem
% 9.08/2.44 # SZS output start CNFRefutation
% See solution above
% 9.08/2.44 # Training examples: 0 positive, 0 negative
% 9.08/2.44
% 9.08/2.44 # -------------------------------------------------
% 9.08/2.44 # User time : 0.141 s
% 9.08/2.44 # System time : 0.011 s
% 9.08/2.44 # Total time : 0.152 s
% 9.08/2.44 # Maximum resident set size: 7128 pages
% 9.08/2.44
%------------------------------------------------------------------------------