TSTP Solution File: NUM554+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM554+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:37:18 EDT 2022
% Result : Theorem 9.12s 2.44s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 61 ( 30 unt; 6 nHn; 61 RR)
% Number of literals : 123 ( 27 equ; 61 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_3) ).
cnf(i_0_142,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_142) ).
cnf(i_0_114,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_114) ).
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-sd2i94co/lgb.p',i_0_35) ).
cnf(i_0_39,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_39) ).
cnf(i_0_155,hypothesis,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_155) ).
cnf(i_0_165,hypothesis,
aSet0(sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_165) ).
cnf(i_0_42,plain,
( isFinite0(sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_42) ).
cnf(i_0_156,hypothesis,
( aElementOf0(X1,xP)
| X1 != xx
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_156) ).
cnf(i_0_152,hypothesis,
aElement0(xy),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_152) ).
cnf(i_0_150,hypothesis,
aSet0(xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_150) ).
cnf(i_0_154,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_154) ).
cnf(i_0_43,plain,
( isFinite0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_43) ).
cnf(i_0_149,hypothesis,
isFinite0(xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_149) ).
cnf(i_0_163,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_163) ).
cnf(i_0_158,hypothesis,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_158) ).
cnf(i_0_168,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aElementOf0(esk16_0,xS) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_168) ).
cnf(i_0_146,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_146) ).
cnf(i_0_71,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_71) ).
cnf(i_0_160,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_160) ).
cnf(i_0_169,negated_conjecture,
( aElementOf0(esk16_0,xP)
| sbrdtbr0(xP) != xk ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_169) ).
cnf(i_0_148,hypothesis,
sbrdtbr0(xQ) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_148) ).
cnf(i_0_151,hypothesis,
aElementOf0(xy,xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sd2i94co/lgb.p',i_0_151) ).
cnf(c_0_193,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_194,hypothesis,
aElementOf0(xx,xS),
i_0_142 ).
cnf(c_0_195,hypothesis,
aSet0(xS),
i_0_114 ).
cnf(c_0_196,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_197,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
i_0_39 ).
cnf(c_0_198,hypothesis,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
i_0_155 ).
cnf(c_0_199,hypothesis,
aSet0(sdtmndt0(xQ,xy)),
i_0_165 ).
cnf(c_0_200,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195])]) ).
cnf(c_0_201,plain,
( isFinite0(sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
i_0_42 ).
cnf(c_0_202,hypothesis,
( aElementOf0(X1,xP)
| X1 != xx
| ~ aElement0(X1) ),
i_0_156 ).
cnf(c_0_203,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3)) ),
inference(er,[status(thm)],[c_0_196]) ).
cnf(c_0_204,hypothesis,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199])]),c_0_200])]) ).
cnf(c_0_205,hypothesis,
aElement0(xy),
i_0_152 ).
cnf(c_0_206,hypothesis,
aSet0(xQ),
i_0_150 ).
cnf(c_0_207,hypothesis,
~ aElementOf0(xx,xQ),
i_0_154 ).
cnf(c_0_208,hypothesis,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_198]),c_0_199])]),c_0_200])]) ).
cnf(c_0_209,plain,
( isFinite0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
i_0_43 ).
cnf(c_0_210,hypothesis,
isFinite0(xQ),
i_0_149 ).
cnf(c_0_211,hypothesis,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(er,[status(thm)],[c_0_202]) ).
cnf(c_0_212,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
i_0_163 ).
cnf(c_0_213,hypothesis,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
i_0_158 ).
cnf(c_0_214,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aElementOf0(esk16_0,xS) ),
i_0_168 ).
cnf(c_0_215,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
i_0_146 ).
cnf(c_0_216,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
i_0_71 ).
cnf(c_0_217,plain,
sdtmndt0(xP,xx) = sdtmndt0(xQ,xy),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]),c_0_206])]),c_0_207]) ).
cnf(c_0_218,plain,
isFinite0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_205]),c_0_206])]) ).
cnf(c_0_219,hypothesis,
aSet0(xP),
i_0_160 ).
cnf(c_0_220,hypothesis,
aElementOf0(xx,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_200])]) ).
cnf(c_0_221,hypothesis,
( X1 = xx
| aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_222,negated_conjecture,
( aElementOf0(esk16_0,xP)
| sbrdtbr0(xP) != xk ),
i_0_169 ).
cnf(c_0_223,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aElementOf0(esk16_0,xQ) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_224,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_219]),c_0_220])]) ).
cnf(c_0_225,hypothesis,
sbrdtbr0(xQ) = xk,
i_0_148 ).
cnf(c_0_226,hypothesis,
aElementOf0(xy,xQ),
i_0_151 ).
cnf(c_0_227,negated_conjecture,
( esk16_0 = xx
| sbrdtbr0(xP) != xk ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).
cnf(c_0_228,plain,
sbrdtbr0(xP) = xk,
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_216,c_0_224]),c_0_225]),c_0_210]),c_0_206]),c_0_226])]) ).
cnf(c_0_229,negated_conjecture,
esk16_0 = xx,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]) ).
cnf(c_0_230,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_228])]),c_0_229]),c_0_194])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM554+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n021.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 : Thu Jul 7 07:56:36 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.12/2.44 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.12/2.44 # No SInE strategy applied
% 9.12/2.44 # Trying AutoSched0 for 150 seconds
% 9.12/2.44 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 9.12/2.44 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.12/2.44 #
% 9.12/2.44 # Preprocessing time : 0.026 s
% 9.12/2.44
% 9.12/2.44 # Proof found!
% 9.12/2.44 # SZS status Theorem
% 9.12/2.44 # SZS output start CNFRefutation
% See solution above
% 9.12/2.44 # Training examples: 0 positive, 0 negative
% 9.12/2.44
% 9.12/2.44 # -------------------------------------------------
% 9.12/2.44 # User time : 0.103 s
% 9.12/2.44 # System time : 0.006 s
% 9.12/2.44 # Total time : 0.110 s
% 9.12/2.44 # Maximum resident set size: 7124 pages
% 9.12/2.44
%------------------------------------------------------------------------------