TSTP Solution File: NUM534+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM534+2 : 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 08:37:04 EDT 2022
% Result : Theorem 9.42s 2.67s
% Output : CNFRefutation 9.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 46 ( 12 unt; 13 nHn; 46 RR)
% Number of literals : 135 ( 21 equ; 77 neg)
% Maximal clause size : 7 ( 2 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 : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_43,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_43) ).
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-9m2x8lac/input.p',i_0_13) ).
cnf(i_0_45,negated_conjecture,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_45) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_3) ).
cnf(i_0_48,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_48) ).
cnf(i_0_42,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_42) ).
cnf(i_0_49,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_49) ).
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/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_33) ).
cnf(i_0_41,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| X1 != xx
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_41) ).
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-9m2x8lac/input.p',i_0_12) ).
cnf(i_0_38,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_38) ).
cnf(i_0_39,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_39) ).
cnf(i_0_18,plain,
( X1 = X2
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_18) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_15) ).
cnf(i_0_40,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9m2x8lac/input.p',i_0_40) ).
cnf(c_0_65,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
i_0_43 ).
cnf(c_0_66,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_67,negated_conjecture,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
i_0_45 ).
cnf(c_0_68,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_69,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_48 ).
cnf(c_0_70,negated_conjecture,
( esk2_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(esk2_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_71,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_42 ).
cnf(c_0_72,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
i_0_49 ).
cnf(c_0_73,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_74,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| X1 != xx
| ~ aElement0(X1) ),
i_0_41 ).
cnf(c_0_75,plain,
( aElement0(esk2_2(X1,X2))
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_66]) ).
cnf(c_0_76,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_77,negated_conjecture,
( esk2_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| aElementOf0(esk2_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,hypothesis,
aSet0(xS),
i_0_38 ).
cnf(c_0_79,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_73,c_0_68]) ).
cnf(c_0_81,hypothesis,
aElementOf0(xx,xS),
i_0_39 ).
cnf(c_0_82,negated_conjecture,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),sdtpldt0(sdtmndt0(xS,xx),xx))
| esk2_2(X2,X1) != xx
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( X1 = X2
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2) ),
i_0_18 ).
cnf(c_0_84,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_85,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_76,c_0_77]),c_0_78]),c_0_67])]) ).
cnf(c_0_86,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_79]),c_0_67])]) ).
cnf(c_0_87,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_80]) ).
cnf(c_0_88,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_81]),c_0_78])]) ).
cnf(c_0_89,plain,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1) != xx
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_82]),c_0_67])]) ).
cnf(c_0_90,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,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_76,c_0_85]),c_0_81]),c_0_78]),c_0_67])]) ).
cnf(c_0_92,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
i_0_40 ).
cnf(c_0_93,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk2_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_78])]),c_0_89]) ).
cnf(c_0_94,plain,
~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_67])]),c_0_92]) ).
cnf(c_0_95,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_66]),c_0_78]),c_0_67])]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jul 7 06:46:45 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 9.42/2.67 # ENIGMATIC: Solved by autoschedule:
% 9.42/2.67 # No SInE strategy applied
% 9.42/2.67 # Trying AutoSched0 for 150 seconds
% 9.42/2.67 # AutoSched0-Mode selected heuristic G_E___207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 9.42/2.67 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.42/2.67 #
% 9.42/2.67 # Preprocessing time : 0.023 s
% 9.42/2.67 # Presaturation interreduction done
% 9.42/2.67
% 9.42/2.67 # Proof found!
% 9.42/2.67 # SZS status Theorem
% 9.42/2.67 # SZS output start CNFRefutation
% See solution above
% 9.42/2.67 # Training examples: 0 positive, 0 negative
% 9.42/2.67
% 9.42/2.67 # -------------------------------------------------
% 9.42/2.67 # User time : 0.261 s
% 9.42/2.67 # System time : 0.010 s
% 9.42/2.67 # Total time : 0.271 s
% 9.42/2.67 # Maximum resident set size: 7124 pages
% 9.42/2.67
%------------------------------------------------------------------------------