TSTP Solution File: RNG092+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG092+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 9.43s 2.59s
% Output : CNFRefutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of clauses : 60 ( 16 unt; 4 nHn; 60 RR)
% Number of literals : 136 ( 15 equ; 77 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 64 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_74,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_74) ).
cnf(i_0_51,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_51) ).
cnf(i_0_73,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_73) ).
cnf(i_0_63,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_63) ).
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_26) ).
cnf(i_0_21,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_21) ).
cnf(i_0_2,plain,
aElement0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_2) ).
cnf(i_0_68,negated_conjecture,
aElementOf0(esk22_0,sdtpldt1(xI,xJ)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_68) ).
cnf(i_0_14,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_14) ).
cnf(i_0_6,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_6) ).
cnf(i_0_22,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_22) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_7) ).
cnf(i_0_3,plain,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_3) ).
cnf(i_0_13,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_13) ).
cnf(i_0_5,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_5) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_9) ).
cnf(i_0_78,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X3)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_78) ).
cnf(i_0_64,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_64) ).
cnf(i_0_66,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_66) ).
cnf(i_0_65,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_65) ).
cnf(i_0_67,negated_conjecture,
( aElement0(esk24_0)
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uftdjw5t/lgb.p',i_0_67) ).
cnf(c_0_100,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
i_0_74 ).
cnf(c_0_101,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
i_0_51 ).
cnf(c_0_102,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
i_0_73 ).
cnf(c_0_103,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
i_0_63 ).
cnf(c_0_104,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_105,plain,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]),c_0_103]) ).
cnf(c_0_106,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
i_0_21 ).
cnf(c_0_107,plain,
aElement0(sz00),
i_0_2 ).
cnf(c_0_108,negated_conjecture,
aElementOf0(esk22_0,sdtpldt1(xI,xJ)),
i_0_68 ).
cnf(c_0_109,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_102])]) ).
cnf(c_0_110,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_14 ).
cnf(c_0_111,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_6 ).
cnf(c_0_112,plain,
( aElementOf0(sz00,sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_113,negated_conjecture,
aElement0(esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_108]),c_0_102])]) ).
cnf(c_0_114,plain,
( aElement0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_115,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
i_0_22 ).
cnf(c_0_116,negated_conjecture,
aElementOf0(sz00,sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_108])]) ).
cnf(c_0_117,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_118,plain,
( aElement0(sdtasdt0(X1,sz00))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_107]),c_0_116])]) ).
cnf(c_0_119,plain,
aElement0(sz10),
i_0_3 ).
cnf(c_0_120,plain,
( sdtpldt0(X1,sz00) = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_107]) ).
cnf(c_0_121,plain,
( aElement0(sdtasdt0(X1,sz00))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_13 ).
cnf(c_0_123,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_5 ).
cnf(c_0_124,plain,
( sdtpldt0(sdtasdt0(X1,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(X1,sz00))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
i_0_9 ).
cnf(c_0_126,plain,
( aElement0(sdtasdt0(sz00,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_107])]) ).
cnf(c_0_127,plain,
( aElement0(sdtpldt0(sz00,sdtasdt0(X1,sz00)))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_107])]),c_0_121]) ).
cnf(c_0_128,plain,
( sdtpldt0(sz00,sdtasdt0(sz00,X1)) = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X3)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
i_0_78 ).
cnf(c_0_130,plain,
aElement0(sdtasdt0(sz00,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_107])]) ).
cnf(c_0_131,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
i_0_64 ).
cnf(c_0_132,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
i_0_66 ).
cnf(c_0_134,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) ),
i_0_65 ).
cnf(c_0_135,negated_conjecture,
( aElement0(esk24_0)
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) ),
i_0_67 ).
cnf(c_0_136,negated_conjecture,
~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_108])]),c_0_133]) ).
cnf(c_0_137,negated_conjecture,
aElement0(esk24_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_132]),c_0_108])]),c_0_135]) ).
cnf(c_0_138,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_105]),c_0_137]),c_0_108])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG092+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 20:14:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 9.43/2.59 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.43/2.59 # No SInE strategy applied
% 9.43/2.59 # Trying AutoSched0 for 150 seconds
% 9.43/2.59 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 9.43/2.59 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.43/2.59 #
% 9.43/2.59 # Preprocessing time : 0.028 s
% 9.43/2.59 # Presaturation interreduction done
% 9.43/2.59
% 9.43/2.59 # Proof found!
% 9.43/2.59 # SZS status Theorem
% 9.43/2.59 # SZS output start CNFRefutation
% See solution above
% 9.43/2.59 # Training examples: 0 positive, 0 negative
% 9.43/2.59
% 9.43/2.59 # -------------------------------------------------
% 9.43/2.59 # User time : 0.204 s
% 9.43/2.59 # System time : 0.016 s
% 9.43/2.59 # Total time : 0.221 s
% 9.43/2.59 # Maximum resident set size: 7128 pages
% 9.43/2.59
%------------------------------------------------------------------------------