TSTP Solution File: RNG118+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG118+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 20:25:02 EDT 2022
% Result : Theorem 7.69s 2.37s
% Output : CNFRefutation 7.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 15 unt; 8 nHn; 36 RR)
% Number of literals : 89 ( 27 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_26) ).
cnf(i_0_108,hypothesis,
aElementOf0(xu,xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_108) ).
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_54) ).
cnf(i_0_99,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_99) ).
cnf(i_0_115,negated_conjecture,
( sdtpldt0(sdtasdt0(X1,xu),X2) != xb
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_115) ).
cnf(i_0_68,plain,
( X1 = sz00
| esk15_2(X2,X1) = sz00
| iLess0(sbrdtbr0(esk15_2(X2,X1)),sbrdtbr0(X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_68) ).
cnf(i_0_107,hypothesis,
sz00 != xu,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_107) ).
cnf(i_0_69,plain,
( X1 = sz00
| sdtpldt0(sdtasdt0(esk14_2(X2,X1),X1),esk15_2(X2,X1)) = X2
| ~ aElement0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_69) ).
cnf(i_0_94,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_94) ).
cnf(i_0_71,plain,
( X1 = sz00
| aElement0(esk14_2(X2,X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_71) ).
cnf(i_0_70,plain,
( X1 = sz00
| aElement0(esk15_2(X2,X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_70) ).
cnf(i_0_116,negated_conjecture,
( X1 != sz00
| sdtpldt0(sdtasdt0(X2,xu),X1) != xb
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_116) ).
cnf(i_0_2,plain,
aElement0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6akrtyqz/lgb.p',i_0_2) ).
cnf(c_0_130,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_131,hypothesis,
aElementOf0(xu,xI),
i_0_108 ).
cnf(c_0_132,hypothesis,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_133,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_134,hypothesis,
aIdeal0(xI),
i_0_99 ).
cnf(c_0_135,negated_conjecture,
( sdtpldt0(sdtasdt0(X1,xu),X2) != xb
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) ),
i_0_115 ).
cnf(c_0_136,plain,
( X1 = sz00
| esk15_2(X2,X1) = sz00
| iLess0(sbrdtbr0(esk15_2(X2,X1)),sbrdtbr0(X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_68 ).
cnf(c_0_137,hypothesis,
sz00 != xu,
i_0_107 ).
cnf(c_0_138,plain,
aElement0(xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).
cnf(c_0_139,negated_conjecture,
( esk15_2(X1,xu) = sz00
| sdtpldt0(sdtasdt0(X2,xu),esk15_2(X1,xu)) != xb
| ~ aElement0(esk15_2(X1,xu))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_138])]) ).
cnf(c_0_140,plain,
( X1 = sz00
| sdtpldt0(sdtasdt0(esk14_2(X2,X1),X1),esk15_2(X2,X1)) = X2
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_69 ).
cnf(c_0_141,hypothesis,
aElement0(xb),
i_0_94 ).
cnf(c_0_142,plain,
( esk15_2(xb,xu) = sz00
| ~ aElement0(esk15_2(xb,xu))
| ~ aElement0(esk14_2(xb,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_138])]),c_0_137])]),c_0_141])]) ).
cnf(c_0_143,plain,
( X1 = sz00
| aElement0(esk14_2(X2,X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_71 ).
cnf(c_0_144,plain,
( esk15_2(xb,xu) = sz00
| ~ aElement0(esk15_2(xb,xu)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_141]),c_0_138])]),c_0_137]) ).
cnf(c_0_145,plain,
( X1 = sz00
| aElement0(esk15_2(X2,X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_70 ).
cnf(c_0_146,negated_conjecture,
( X1 != sz00
| sdtpldt0(sdtasdt0(X2,xu),X1) != xb
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_116 ).
cnf(c_0_147,plain,
aElement0(sz00),
i_0_2 ).
cnf(c_0_148,plain,
esk15_2(xb,xu) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_141]),c_0_138])]),c_0_137]) ).
cnf(c_0_149,negated_conjecture,
( sdtpldt0(sdtasdt0(X1,xu),sz00) != xb
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_146]),c_0_147])]) ).
cnf(c_0_150,plain,
sdtpldt0(sdtasdt0(esk14_2(xb,xu),xu),sz00) = xb,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_148]),c_0_141]),c_0_138])]),c_0_137]) ).
cnf(c_0_151,negated_conjecture,
~ aElement0(esk14_2(xb,xu)),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_152,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_143]),c_0_141]),c_0_138])]),c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG118+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 16:30:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.69/2.37 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.69/2.37 # No SInE strategy applied
% 7.69/2.37 # Trying AutoSched0 for 150 seconds
% 7.69/2.37 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.69/2.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.69/2.37 #
% 7.69/2.37 # Preprocessing time : 0.013 s
% 7.69/2.37
% 7.69/2.37 # Proof found!
% 7.69/2.37 # SZS status Theorem
% 7.69/2.37 # SZS output start CNFRefutation
% See solution above
% 7.69/2.37 # Training examples: 0 positive, 0 negative
% 7.69/2.37
% 7.69/2.37 # -------------------------------------------------
% 7.69/2.37 # User time : 0.015 s
% 7.69/2.37 # System time : 0.004 s
% 7.69/2.37 # Total time : 0.019 s
% 7.69/2.37 # Maximum resident set size: 7124 pages
% 7.69/2.37
%------------------------------------------------------------------------------