TSTP Solution File: RNG082+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 20:24:56 EDT 2022
% Result : Theorem 8.88s 2.52s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 53 ( 28 unt; 0 nHn; 53 RR)
% Number of literals : 92 ( 35 equ; 42 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_13) ).
cnf(i_0_19,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_19) ).
cnf(i_0_4,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_4) ).
cnf(i_0_17,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_17) ).
cnf(i_0_3,plain,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_3) ).
cnf(i_0_2,plain,
aElement0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_2) ).
cnf(i_0_15,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_15) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_9) ).
cnf(i_0_6,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_6) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_8) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_12) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_11) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_10) ).
cnf(i_0_20,negated_conjecture,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jup2oxo9/input.p',i_0_20) ).
cnf(c_0_35,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_13 ).
cnf(c_0_36,hypothesis,
aElement0(xx),
i_0_19 ).
cnf(c_0_37,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
i_0_4 ).
cnf(c_0_38,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
i_0_17 ).
cnf(c_0_39,plain,
aElement0(sz10),
i_0_3 ).
cnf(c_0_40,hypothesis,
( sdtasdt0(X1,xx) = sdtasdt0(xx,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
aElement0(sz00),
i_0_2 ).
cnf(c_0_42,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aElement0(X1) ),
i_0_15 ).
cnf(c_0_43,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
i_0_9 ).
cnf(c_0_44,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_6 ).
cnf(c_0_45,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_8 ).
cnf(c_0_46,hypothesis,
aElement0(smndt0(xx)),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_47,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(sz10,X2)) = sdtasdt0(sdtpldt0(X1,sz10),X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,hypothesis,
sdtasdt0(sz10,xx) = xx,
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_50,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_51,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
i_0_12 ).
cnf(c_0_52,plain,
( aElement0(sdtasdt0(X1,sz00))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_53,plain,
aElement0(smndt0(sz10)),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_54,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
i_0_11 ).
cnf(c_0_55,plain,
( sdtpldt0(sdtpldt0(X1,X2),smndt0(xx)) = sdtpldt0(X1,sdtpldt0(X2,smndt0(xx)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
sdtpldt0(sdtasdt0(xx,sz00),xx) = xx,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_49]),c_0_36]),c_0_41])]) ).
cnf(c_0_57,hypothesis,
sdtpldt0(xx,smndt0(xx)) = sz00,
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_58,hypothesis,
aElement0(sdtasdt0(xx,sz00)),
inference(spm,[status(thm)],[c_0_52,c_0_36]) ).
cnf(c_0_59,plain,
sdtasdt0(smndt0(sz10),xx) = sdtasdt0(xx,smndt0(sz10)),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
cnf(c_0_60,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_61,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
i_0_10 ).
cnf(c_0_62,plain,
sdtpldt0(sdtasdt0(xx,sz00),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_57]),c_0_36]),c_0_58])]) ).
cnf(c_0_63,hypothesis,
( aElement0(sdtasdt0(X1,xx))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_64,plain,
sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx) = sdtasdt0(xx,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_59]),c_0_49]),c_0_60]),c_0_48]),c_0_36]),c_0_53])]) ).
cnf(c_0_65,plain,
sdtasdt0(xx,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_58])]) ).
cnf(c_0_66,plain,
aElement0(sdtasdt0(smndt0(sz10),xx)),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_67,plain,
sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx) = sz00,
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
sdtpldt0(sz00,smndt0(xx)) = smndt0(xx),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_69,plain,
aElement0(sdtasdt0(xx,smndt0(sz10))),
inference(rw,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
i_0_20 ).
cnf(c_0_71,plain,
sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sz00) = smndt0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_67]),c_0_68]),c_0_57]),c_0_36]),c_0_69])]) ).
cnf(c_0_72,negated_conjecture,
sdtasdt0(xx,smndt0(sz10)) != smndt0(xx),
inference(rw,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_73,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_71]),c_0_69])]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG082+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 : n019.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 : Mon May 30 05:20:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.88/2.52 # ENIGMATIC: Solved by autoschedule:
% 8.88/2.52 # No SInE strategy applied
% 8.88/2.52 # Trying AutoSched0 for 150 seconds
% 8.88/2.52 # AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S00EN
% 8.88/2.52 # and selection function PSelectSmallestOrientable.
% 8.88/2.52 #
% 8.88/2.52 # Preprocessing time : 0.023 s
% 8.88/2.52 # Presaturation interreduction done
% 8.88/2.52
% 8.88/2.52 # Proof found!
% 8.88/2.52 # SZS status Theorem
% 8.88/2.52 # SZS output start CNFRefutation
% See solution above
% 8.88/2.52 # Training examples: 0 positive, 0 negative
% 8.88/2.52
% 8.88/2.52 # -------------------------------------------------
% 8.88/2.52 # User time : 0.105 s
% 8.88/2.52 # System time : 0.012 s
% 8.88/2.52 # Total time : 0.117 s
% 8.88/2.52 # Maximum resident set size: 7116 pages
% 8.88/2.52
%------------------------------------------------------------------------------