TSTP Solution File: NUM535+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM535+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:37:05 EDT 2022
% Result : Theorem 14.04s 3.26s
% Output : CNFRefutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 58 ( 12 unt; 20 nHn; 58 RR)
% Number of literals : 191 ( 34 equ; 113 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 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-gyyrdgpc/input.p',i_0_37) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_3) ).
cnf(i_0_39,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_39) ).
cnf(i_0_38,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_38) ).
cnf(i_0_28,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_28) ).
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-gyyrdgpc/input.p',i_0_13) ).
cnf(i_0_26,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_26) ).
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-gyyrdgpc/input.p',i_0_35) ).
cnf(i_0_33,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_33) ).
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-gyyrdgpc/input.p',i_0_12) ).
cnf(i_0_25,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_25) ).
cnf(i_0_40,negated_conjecture,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_40) ).
cnf(i_0_24,plain,
( aElementOf0(X1,X2)
| X1 != X3
| X2 != sdtpldt0(X4,X3)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gyyrdgpc/input.p',i_0_24) ).
cnf(c_0_54,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_55,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_56,hypothesis,
aElementOf0(xx,xS),
i_0_39 ).
cnf(c_0_57,hypothesis,
aSet0(xS),
i_0_38 ).
cnf(c_0_58,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_28 ).
cnf(c_0_59,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_60,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_61,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_62,hypothesis,
( aSet0(sdtmndt0(X1,xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_64,hypothesis,
( aSet0(sdtpldt0(X1,xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_65,hypothesis,
aSet0(sdtmndt0(xS,xx)),
inference(spm,[status(thm)],[c_0_62,c_0_57]) ).
cnf(c_0_66,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
i_0_26 ).
cnf(c_0_67,hypothesis,
( aSubsetOf0(X1,xS)
| aElementOf0(esk2_2(xS,X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_68,hypothesis,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_70,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_71,hypothesis,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
( esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_60]),c_0_65])]) ).
cnf(c_0_74,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X4) ),
i_0_33 ).
cnf(c_0_75,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_76,plain,
( esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_60]),c_0_57])]) ).
cnf(c_0_77,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_74,c_0_55]) ).
cnf(c_0_78,plain,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]) ).
cnf(c_0_79,plain,
( esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_57]),c_0_68])]) ).
cnf(c_0_80,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
i_0_25 ).
cnf(c_0_81,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_82,hypothesis,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS) ),
inference(spm,[status(thm)],[c_0_78,c_0_57]) ).
cnf(c_0_83,negated_conjecture,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
i_0_40 ).
cnf(c_0_84,plain,
aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_79]),c_0_56]),c_0_57]),c_0_68])]) ).
cnf(c_0_85,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_80,c_0_55]) ).
cnf(c_0_86,plain,
( esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS) = X1
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_57])]) ).
cnf(c_0_87,negated_conjecture,
~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_88,plain,
( aElementOf0(X1,X2)
| X1 != X3
| X2 != sdtpldt0(X4,X3)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
i_0_24 ).
cnf(c_0_89,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_90,hypothesis,
( esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS) = xx
| aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_60]),c_0_87]) ).
cnf(c_0_91,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X1)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_92,plain,
( esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS) = xx
| aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_65])]) ).
cnf(c_0_93,plain,
( aElementOf0(X1,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_94,hypothesis,
( esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS) = xx
| aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_92,c_0_60]) ).
cnf(c_0_95,hypothesis,
( aElementOf0(xx,sdtpldt0(X1,xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_60]) ).
cnf(c_0_96,plain,
esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),xS) = xx,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_94]),c_0_68]),c_0_57])]),c_0_87]) ).
cnf(c_0_97,hypothesis,
aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(spm,[status(thm)],[c_0_95,c_0_65]) ).
cnf(c_0_98,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_96]),c_0_97]),c_0_68]),c_0_57])]),c_0_87]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM535+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 10:25:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 14.04/3.26 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 14.04/3.26 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 14.04/3.26 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 26; version: 991; iters: 150)
% 14.04/3.26 # Preprocessing time : 0.727 s
% 14.04/3.26
% 14.04/3.26 # Proof found!
% 14.04/3.26 # SZS status Theorem
% 14.04/3.26 # SZS output start CNFRefutation
% See solution above
% 14.04/3.26 # Training examples: 0 positive, 0 negative
% 14.04/3.26
% 14.04/3.26 # -------------------------------------------------
% 14.04/3.26 # User time : 0.778 s
% 14.04/3.26 # System time : 0.099 s
% 14.04/3.26 # Total time : 0.877 s
% 14.04/3.26 # ...preprocessing : 0.727 s
% 14.04/3.26 # ...main loop : 0.150 s
% 14.04/3.26 # Maximum resident set size: 151896 pages
% 14.04/3.26
%------------------------------------------------------------------------------