TSTP Solution File: NUM590+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM590+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:37:41 EDT 2022
% Result : Theorem 10.94s 2.76s
% Output : CNFRefutation 10.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 52 ( 12 unt; 9 nHn; 52 RR)
% Number of literals : 148 ( 20 equ; 92 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 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/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_35) ).
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_37) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_13) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_14) ).
cnf(i_0_167,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_167) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_45) ).
cnf(i_0_78,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_78) ).
cnf(i_0_12,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_12) ).
cnf(i_0_19,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_19) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_15) ).
cnf(i_0_181,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) = xY,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_181) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_3) ).
cnf(i_0_179,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_179) ).
cnf(i_0_182,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_182) ).
cnf(i_0_7,plain,
( aSet0(X1)
| X1 != slcrc0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_7) ).
cnf(i_0_11,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_11) ).
cnf(i_0_166,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gym47ucs/lgb.p',i_0_166) ).
cnf(c_0_200,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_201,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_202,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_200]) ).
cnf(c_0_203,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_204,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_201]) ).
cnf(c_0_205,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_206,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_167 ).
cnf(c_0_207,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_208,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_78 ).
cnf(c_0_209,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_210,plain,
( aElementOf0(esk2_2(X1,sdtmndt0(X2,X3)),X2)
| aSubsetOf0(sdtmndt0(X2,X3),X1)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_211,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).
cnf(c_0_212,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_208]) ).
cnf(c_0_213,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
i_0_19 ).
cnf(c_0_214,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_215,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_204]) ).
cnf(c_0_216,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) = xY,
i_0_181 ).
cnf(c_0_217,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_218,plain,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_206]) ).
cnf(c_0_219,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_213,c_0_214]),c_0_214]) ).
cnf(c_0_220,hypothesis,
( aSubsetOf0(xY,sdtlpdtrp0(xN,xi))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_221,plain,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_207])]) ).
cnf(c_0_222,hypothesis,
aElementOf0(xi,szNzAzT0),
i_0_179 ).
cnf(c_0_223,hypothesis,
( aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_206]),c_0_207])]) ).
cnf(c_0_224,plain,
( sdtlpdtrp0(xN,xi) = slcrc0
| aSubsetOf0(xY,sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222])]) ).
cnf(c_0_225,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
i_0_182 ).
cnf(c_0_226,plain,
( aSet0(X1)
| X1 != slcrc0 ),
i_0_7 ).
cnf(c_0_227,hypothesis,
( sdtlpdtrp0(xN,xi) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_222])]),c_0_225]) ).
cnf(c_0_228,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_206]),c_0_207])]) ).
cnf(c_0_229,plain,
( X1 != slcrc0
| ~ aSet0(X1)
| ~ isCountable0(X1) ),
i_0_11 ).
cnf(c_0_230,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_226]) ).
cnf(c_0_231,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_166 ).
cnf(c_0_232,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_222])]) ).
cnf(c_0_233,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_229]),c_0_230])]) ).
cnf(c_0_234,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_222])]),c_0_233]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM590+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.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 : Wed Jul 6 17:27:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 10.94/2.76 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.94/2.76 # No SInE strategy applied
% 10.94/2.76 # Trying AutoSched0 for 150 seconds
% 10.94/2.76 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 10.94/2.76 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.94/2.76 #
% 10.94/2.76 # Preprocessing time : 0.025 s
% 10.94/2.76
% 10.94/2.76 # Proof found!
% 10.94/2.76 # SZS status Theorem
% 10.94/2.76 # SZS output start CNFRefutation
% See solution above
% 10.94/2.76 # Training examples: 0 positive, 0 negative
% 10.94/2.76
% 10.94/2.76 # -------------------------------------------------
% 10.94/2.76 # User time : 0.320 s
% 10.94/2.76 # System time : 0.018 s
% 10.94/2.76 # Total time : 0.338 s
% 10.94/2.76 # Maximum resident set size: 7128 pages
% 10.94/2.76
%------------------------------------------------------------------------------