TSTP Solution File: RNG092+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 20:24:57 EDT 2022
% Result : Theorem 7.84s 2.45s
% Output : CNFRefutation 7.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 11 unt; 8 nHn; 40 RR)
% Number of literals : 111 ( 2 equ; 69 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_59,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X3)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_59) ).
cnf(i_0_3,plain,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_3) ).
cnf(i_0_48,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_48) ).
cnf(i_0_57,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_57) ).
cnf(i_0_50,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_50) ).
cnf(i_0_47,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_47) ).
cnf(i_0_58,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_58) ).
cnf(i_0_51,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_51) ).
cnf(i_0_49,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_49) ).
cnf(i_0_39,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_39) ).
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_54) ).
cnf(i_0_55,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_55) ).
cnf(i_0_56,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1kj3f2v_/input.p',i_0_56) ).
cnf(c_0_73,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X3)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
i_0_59 ).
cnf(c_0_74,plain,
aElement0(sz10),
i_0_3 ).
cnf(c_0_75,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1) ),
i_0_48 ).
cnf(c_0_76,plain,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
i_0_57 ).
cnf(c_0_78,plain,
( aElement0(esk11_1(sdtpldt1(xI,xJ)))
| ~ aElementOf0(esk10_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_79,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1) ),
i_0_50 ).
cnf(c_0_80,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
i_0_47 ).
cnf(c_0_81,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
i_0_58 ).
cnf(c_0_82,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
i_0_51 ).
cnf(c_0_83,plain,
( aElement0(esk11_1(sdtpldt1(xI,xJ)))
| ~ aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_77]) ).
cnf(c_0_84,plain,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtpldt1(xI,xJ)),esk9_1(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk10_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_77]) ).
cnf(c_0_85,plain,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_77]) ).
cnf(c_0_86,plain,
( aElement0(esk11_1(sdtpldt1(xI,xJ)))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_77]) ).
cnf(c_0_87,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
i_0_49 ).
cnf(c_0_88,plain,
( ~ aElementOf0(esk10_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_89,plain,
( aElementOf0(esk10_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0(esk11_1(sdtpldt1(xI,xJ))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_85]),c_0_77]) ).
cnf(c_0_90,plain,
( ~ aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_86]) ).
cnf(c_0_91,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
i_0_39 ).
cnf(c_0_92,plain,
~ aSet0(sdtpldt1(xI,xJ)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_82]),c_0_77]) ).
cnf(c_0_93,plain,
( aSet0(sdtpldt1(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_94,plain,
( ~ aSet0(xJ)
| ~ aSet0(xI) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_95,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_96,hypothesis,
aIdeal0(xJ),
i_0_55 ).
cnf(c_0_97,plain,
~ aSet0(xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_98,hypothesis,
aIdeal0(xI),
i_0_56 ).
cnf(c_0_99,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_95]),c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 07:09:43 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 7.84/2.45 # ENIGMATIC: Solved by autoschedule:
% 7.84/2.45 # No SInE strategy applied
% 7.84/2.45 # Trying AutoSched0 for 150 seconds
% 7.84/2.45 # AutoSched0-Mode selected heuristic G_E___208_B02_F1_AE_CS_SP_PS_S0Y
% 7.84/2.45 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.84/2.45 #
% 7.84/2.45 # Preprocessing time : 0.013 s
% 7.84/2.45 # Presaturation interreduction done
% 7.84/2.45
% 7.84/2.45 # Proof found!
% 7.84/2.45 # SZS status Theorem
% 7.84/2.45 # SZS output start CNFRefutation
% See solution above
% 7.84/2.45 # Training examples: 0 positive, 0 negative
% 7.84/2.45
% 7.84/2.45 # -------------------------------------------------
% 7.84/2.45 # User time : 0.025 s
% 7.84/2.45 # System time : 0.003 s
% 7.84/2.45 # Total time : 0.028 s
% 7.84/2.45 # Maximum resident set size: 7120 pages
% 7.84/2.45
%------------------------------------------------------------------------------