TSTP Solution File: NUM537+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM537+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 08:37:06 EDT 2022
% Result : Theorem 15.35s 3.41s
% Output : CNFRefutation 15.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 55 ( 10 unt; 24 nHn; 55 RR)
% Number of literals : 213 ( 44 equ; 129 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 105 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| aElementOf0(esk4_3(X2,X3,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_30) ).
cnf(i_0_40,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_40) ).
cnf(i_0_28,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_28) ).
cnf(i_0_25,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_25) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_3) ).
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-5kaqwsib/input.p',i_0_26) ).
cnf(i_0_39,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_39) ).
cnf(i_0_32,plain,
( X1 = sdtmndt0(X2,X3)
| esk4_3(X2,X3,X1) = X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk4_3(X2,X3,X1))
| ~ aElementOf0(esk4_3(X2,X3,X1),X1)
| ~ aElementOf0(esk4_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_32) ).
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-5kaqwsib/input.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-5kaqwsib/input.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-5kaqwsib/input.p',i_0_13) ).
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-5kaqwsib/input.p',i_0_12) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| esk4_3(X2,X3,X1) != X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_29) ).
cnf(i_0_41,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_41) ).
cnf(i_0_42,negated_conjecture,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5kaqwsib/input.p',i_0_42) ).
cnf(c_0_58,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| aElementOf0(esk4_3(X2,X3,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_30 ).
cnf(c_0_59,hypothesis,
aElement0(xx),
i_0_40 ).
cnf(c_0_60,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_28 ).
cnf(c_0_61,hypothesis,
( X1 = sdtmndt0(X2,xx)
| aElementOf0(esk4_3(X2,xx,X1),X2)
| aElementOf0(esk4_3(X2,xx,X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_63,plain,
( X1 = sdtmndt0(sdtpldt0(X2,X3),xx)
| aElementOf0(esk4_3(sdtpldt0(X2,X3),xx,X1),sdtpldt0(X2,X3))
| aElementOf0(esk4_3(sdtpldt0(X2,X3),xx,X1),X1)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X3) ),
i_0_25 ).
cnf(c_0_65,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
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,
( X1 = sdtmndt0(sdtpldt0(X2,xx),xx)
| aElementOf0(esk4_3(sdtpldt0(X2,xx),xx,X1),sdtpldt0(X2,xx))
| aElementOf0(esk4_3(sdtpldt0(X2,xx),xx,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_68,hypothesis,
aSet0(xS),
i_0_39 ).
cnf(c_0_69,plain,
( X1 = sdtmndt0(X2,X3)
| esk4_3(X2,X3,X1) = X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk4_3(X2,X3,X1))
| ~ aElementOf0(esk4_3(X2,X3,X1),X1)
| ~ aElementOf0(esk4_3(X2,X3,X1),X2) ),
i_0_32 ).
cnf(c_0_70,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_72,hypothesis,
( sdtmndt0(sdtpldt0(X1,xx),xx) = xS
| aElementOf0(esk4_3(sdtpldt0(X1,xx),xx,xS),sdtpldt0(X1,xx))
| aElementOf0(esk4_3(sdtpldt0(X1,xx),xx,xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_74,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_75,hypothesis,
( X1 = sdtmndt0(xS,xx)
| aElementOf0(esk4_3(xS,xx,X1),xS)
| aElementOf0(esk4_3(xS,xx,X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_68]) ).
cnf(c_0_76,plain,
( esk4_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X1)
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_69,c_0_65]) ).
cnf(c_0_77,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_78,plain,
( esk4_3(sdtpldt0(X1,xx),xx,xS) = xx
| sdtmndt0(sdtpldt0(X1,xx),xx) = xS
| aElementOf0(esk4_3(sdtpldt0(X1,xx),xx,xS),xS)
| aElementOf0(esk4_3(sdtpldt0(X1,xx),xx,xS),X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_59])]) ).
cnf(c_0_79,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_81,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_82,hypothesis,
( sdtmndt0(xS,xx) = xS
| aElementOf0(esk4_3(xS,xx,xS),xS) ),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
cnf(c_0_83,plain,
( esk4_3(sdtpldt0(X1,X2),X3,X4) = X3
| X4 = sdtmndt0(sdtpldt0(X1,X2),X3)
| ~ aElementOf0(esk4_3(sdtpldt0(X1,X2),X3,X4),X4)
| ~ aElementOf0(esk4_3(sdtpldt0(X1,X2),X3,X4),X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aSet0(X4)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_62]) ).
cnf(c_0_84,hypothesis,
( esk4_3(sdtpldt0(xS,xx),xx,xS) = xx
| sdtmndt0(sdtpldt0(xS,xx),xx) = xS
| aElementOf0(esk4_3(sdtpldt0(xS,xx),xx,xS),xS) ),
inference(spm,[status(thm)],[c_0_78,c_0_68]) ).
cnf(c_0_85,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_86,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk2_2(X3,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_87,plain,
( X1 = sdtmndt0(X2,X3)
| aElementOf0(esk4_3(X2,X3,X1),X1)
| esk4_3(X2,X3,X1) != X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_29 ).
cnf(c_0_88,plain,
( esk4_3(xS,xx,xS) = xx
| sdtmndt0(xS,xx) = xS ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_82]),c_0_59]),c_0_68])]),c_0_82]) ).
cnf(c_0_89,hypothesis,
~ aElementOf0(xx,xS),
i_0_41 ).
cnf(c_0_90,plain,
( esk4_3(sdtpldt0(xS,xx),xx,xS) = xx
| sdtmndt0(sdtpldt0(xS,xx),xx) = xS ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_59]),c_0_68])]),c_0_84]) ).
cnf(c_0_91,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_81]) ).
cnf(c_0_92,plain,
sdtmndt0(xS,xx) = xS,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_59]),c_0_68])]),c_0_89]) ).
cnf(c_0_93,negated_conjecture,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
i_0_42 ).
cnf(c_0_94,plain,
( sdtmndt0(sdtpldt0(xS,xx),xx) = xS
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_90]),c_0_59]),c_0_68])]),c_0_89]) ).
cnf(c_0_95,plain,
aSubsetOf0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_59]),c_0_68])]) ).
cnf(c_0_96,negated_conjecture,
~ aSet0(sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_97,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_62]),c_0_59]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM537+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n011.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 : Tue Jul 5 23:19:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 15.35/3.41 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.35/3.41 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 26; version: 991; iters: 150)
% 15.35/3.41 # Preprocessing time : 0.831 s
% 15.35/3.41
% 15.35/3.41 # Proof found!
% 15.35/3.41 # SZS status Theorem
% 15.35/3.41 # SZS output start CNFRefutation
% See solution above
% 15.35/3.41 # Training examples: 0 positive, 0 negative
% 15.35/3.41
% 15.35/3.41 # -------------------------------------------------
% 15.35/3.41 # User time : 0.865 s
% 15.35/3.41 # System time : 0.107 s
% 15.35/3.41 # Total time : 0.972 s
% 15.35/3.41 # ...preprocessing : 0.831 s
% 15.35/3.41 # ...main loop : 0.141 s
% 15.35/3.41 # Maximum resident set size: 168860 pages
% 15.35/3.41
%------------------------------------------------------------------------------