%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM579+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 08:37:34 EDT 2022
% Result : Theorem 55.48s 9.17s
% Output : CNFRefutation 55.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of clauses : 71 ( 33 unt; 11 nHn; 71 RR)
% Number of literals : 148 ( 24 equ; 70 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4179,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4179) ).
cnf(i_0_4210,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4210) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_3) ).
cnf(i_0_4197,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4197) ).
cnf(i_0_67,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_67) ).
cnf(i_0_4199,negated_conjecture,
sbrdtbr0(esk34_0) = xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4199) ).
cnf(i_0_4139,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4139) ).
cnf(i_0_4209,negated_conjecture,
aSet0(esk34_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4209) ).
cnf(i_0_26,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_26) ).
cnf(i_0_4190,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4190) ).
cnf(i_0_70,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_70) ).
cnf(i_0_4138,hypothesis,
szszuzczcdt0(xk) = xK,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4138) ).
cnf(i_0_4203,negated_conjecture,
( X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4203) ).
cnf(i_0_54,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_54) ).
cnf(i_0_4201,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| ~ aElementOf0(X1,esk34_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4201) ).
cnf(i_0_4195,negated_conjecture,
aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4195) ).
cnf(i_0_4180,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4180) ).
cnf(i_0_4173,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4173) ).
cnf(i_0_46,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_46) ).
cnf(i_0_4189,negated_conjecture,
( sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK
| ~ aElementOf0(esk35_0,xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_4189) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_14) ).
cnf(i_0_151,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41cauw2a/input.p',i_0_151) ).
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-41cauw2a/input.p',i_0_35) ).
cnf(c_0_4234,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4179 ).
cnf(c_0_4235,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
i_0_4210 ).
cnf(c_0_4236,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_4237,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0)),
i_0_4197 ).
cnf(c_0_4238,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk33_0)),
inference(spm,[status(thm)],[c_0_4234,c_0_4235]) ).
cnf(c_0_4239,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
i_0_67 ).
cnf(c_0_4240,negated_conjecture,
sbrdtbr0(esk34_0) = xk,
i_0_4199 ).
cnf(c_0_4241,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_4139 ).
cnf(c_0_4242,negated_conjecture,
aSet0(esk34_0),
i_0_4209 ).
cnf(c_0_4243,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
i_0_26 ).
cnf(c_0_4244,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
i_0_4190 ).
cnf(c_0_4245,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
i_0_70 ).
cnf(c_0_4246,hypothesis,
szszuzczcdt0(xk) = xK,
i_0_4138 ).
cnf(c_0_4247,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk33_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4236,c_0_4237]),c_0_4238])]) ).
cnf(c_0_4248,negated_conjecture,
isFinite0(esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4239,c_0_4240]),c_0_4241]),c_0_4242])]) ).
cnf(c_0_4249,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_4243]) ).
cnf(c_0_4250,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0) ),
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_4244,c_0_4245]),c_0_4240]),c_0_4246]),c_0_4247]),c_0_4248]),c_0_4242])]) ).
cnf(c_0_4251,negated_conjecture,
( X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
i_0_4203 ).
cnf(c_0_4252,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_54 ).
cnf(c_0_4253,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| ~ aElementOf0(X1,esk34_0) ),
i_0_4201 ).
cnf(c_0_4254,plain,
( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| aElementOf0(esk35_0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4249,c_0_4250]),c_0_4247]),c_0_4242])]) ).
cnf(c_0_4255,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(er,[status(thm)],[c_0_4251]) ).
cnf(c_0_4256,negated_conjecture,
aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
i_0_4195 ).
cnf(c_0_4257,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_4180 ).
cnf(c_0_4258,negated_conjecture,
sdtlseqdt0(sz00,esk33_0),
inference(spm,[status(thm)],[c_0_4252,c_0_4235]) ).
cnf(c_0_4259,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
i_0_4173 ).
cnf(c_0_4260,plain,
aElementOf0(sz00,szNzAzT0),
i_0_46 ).
cnf(c_0_4261,negated_conjecture,
( sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK
| ~ aElementOf0(esk35_0,xS) ),
i_0_4189 ).
cnf(c_0_4262,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
| aElementOf0(esk35_0,esk34_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4253,c_0_4254]),c_0_4255]) ).
cnf(c_0_4263,plain,
( aElement0(esk35_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4236,c_0_4250]),c_0_4256])]) ).
cnf(c_0_4264,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_4265,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk33_0),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4257,c_0_4258]),c_0_4259]),c_0_4260]),c_0_4235])]) ).
cnf(c_0_4266,hypothesis,
aSet0(xS),
i_0_151 ).
cnf(c_0_4267,negated_conjecture,
( aElementOf0(esk35_0,esk34_0)
| sbrdtbr0(sdtpldt0(esk34_0,esk35_0)) != xK
| ~ aElementOf0(esk35_0,xS) ),
inference(spm,[status(thm)],[c_0_4261,c_0_4262]) ).
cnf(c_0_4268,negated_conjecture,
aElement0(esk35_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4253,c_0_4263]),c_0_4255]) ).
cnf(c_0_4269,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4264,c_0_4265]),c_0_4266])]) ).
cnf(c_0_4270,negated_conjecture,
( aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0))
| aElementOf0(esk35_0,esk34_0) ),
inference(spm,[status(thm)],[c_0_4237,c_0_4262]) ).
cnf(c_0_4271,plain,
( aElementOf0(esk35_0,esk34_0)
| ~ aElementOf0(esk35_0,xS) ),
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_4267,c_0_4245]),c_0_4240]),c_0_4246]),c_0_4268]),c_0_4248]),c_0_4242])]) ).
cnf(c_0_4272,negated_conjecture,
( aElementOf0(esk35_0,xS)
| aElementOf0(esk35_0,esk34_0) ),
inference(spm,[status(thm)],[c_0_4269,c_0_4270]) ).
cnf(c_0_4273,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_4274,plain,
aElementOf0(esk35_0,esk34_0),
inference(spm,[status(thm)],[c_0_4271,c_0_4272]) ).
cnf(c_0_4275,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_4273]) ).
cnf(c_0_4276,negated_conjecture,
aElementOf0(esk35_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(spm,[status(thm)],[c_0_4253,c_0_4274]) ).
cnf(c_0_4277,plain,
aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4275,c_0_4276]),c_0_4247]),c_0_4238])]) ).
cnf(c_0_4278,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| ~ aElementOf0(esk35_0,xS) ),
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_4261,c_0_4245]),c_0_4240]),c_0_4246]),c_0_4247]),c_0_4248]),c_0_4242])]) ).
cnf(c_0_4279,plain,
aElementOf0(esk35_0,xS),
inference(spm,[status(thm)],[c_0_4269,c_0_4277]) ).
cnf(c_0_4280,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4278,c_0_4279])]) ).
cnf(c_0_4281,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4253,c_0_4280]),c_0_4255]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM579+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 : Wed Jul 6 23:17:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 55.48/9.17 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 55.48/9.17 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 103; version: 991; iters: 150)
% 55.48/9.17 # Preprocessing time : 2.309 s
% 55.48/9.17 # Presaturation interreduction done
% 55.48/9.17
% 55.48/9.17 # Proof found!
% 55.48/9.17 # SZS status Theorem
% 55.48/9.17 # SZS output start CNFRefutation
% See solution above
% 55.48/9.17 # Training examples: 0 positive, 0 negative
% 55.48/9.17
% 55.48/9.17 # -------------------------------------------------
% 55.48/9.17 # User time : 5.591 s
% 55.48/9.17 # System time : 0.143 s
% 55.48/9.17 # Total time : 5.734 s
% 55.48/9.17 # ...preprocessing : 2.309 s
% 55.48/9.17 # ...main loop : 3.425 s
% 55.48/9.17 # Maximum resident set size: 181668 pages
% 55.48/9.17
%------------------------------------------------------------------------------