TSTP Solution File: NUM306+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM306+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:24:10 EDT 2022
% Result : Theorem 66.35s 9.87s
% Output : CNFRefutation 66.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of clauses : 45 ( 25 unt; 0 nHn; 45 RR)
% Number of literals : 126 ( 0 equ; 83 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
( rdn_add_with_carry(rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5),rdn(rdnn(X6),X7))
| ~ rdn_non_zero(X7)
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X3)
| ~ rdn_add_with_carry(rdnn(X8),X3,X5,X7)
| ~ rdn_digit_add(rdnn(X9),rdnn(X1),rdnn(X6),rdnn(X10))
| ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X9),rdnn(X11))
| ~ rdn_digit_add(rdnn(X11),rdnn(X10),rdnn(X8),rdnn(n0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_5) ).
cnf(i_0_40,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_40) ).
cnf(i_0_110,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_110) ).
cnf(i_0_159,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_translate(X1,rdn_pos(X6))
| ~ rdn_add_with_carry(rdnn(n0),X6,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_159) ).
cnf(i_0_74,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_74) ).
cnf(i_0_25,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_25) ).
cnf(i_0_141,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_141) ).
cnf(i_0_35,plain,
rdn_non_zero_digit(rdnn(n5)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_35) ).
cnf(i_0_1,plain,
( rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_1) ).
cnf(i_0_90,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_90) ).
cnf(i_0_63,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_63) ).
cnf(i_0_33,plain,
rdn_non_zero_digit(rdnn(n3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_33) ).
cnf(i_0_32,plain,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_32) ).
cnf(i_0_22,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_22) ).
cnf(i_0_20,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_20) ).
cnf(i_0_161,negated_conjecture,
~ sum(n23,n34,n57),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eqcpn8u_/input.p',i_0_161) ).
cnf(c_0_178,plain,
( rdn_add_with_carry(rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5),rdn(rdnn(X6),X7))
| ~ rdn_non_zero(X7)
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X3)
| ~ rdn_add_with_carry(rdnn(X8),X3,X5,X7)
| ~ rdn_digit_add(rdnn(X9),rdnn(X1),rdnn(X6),rdnn(X10))
| ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X9),rdnn(X11))
| ~ rdn_digit_add(rdnn(X11),rdnn(X10),rdnn(X8),rdnn(n0)) ),
i_0_5 ).
cnf(c_0_179,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
i_0_40 ).
cnf(c_0_180,plain,
( rdn_add_with_carry(rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5),rdn(rdnn(X6),X7))
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X7)
| ~ rdn_non_zero(X7)
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X3)
| ~ rdn_digit_add(rdnn(X8),rdnn(X1),rdnn(X6),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X8),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_181,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
i_0_110 ).
cnf(c_0_182,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_translate(X1,rdn_pos(X6))
| ~ rdn_add_with_carry(rdnn(n0),X6,X5,X4) ),
i_0_159 ).
cnf(c_0_183,plain,
( rdn_add_with_carry(rdnn(n0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(n7),X5))
| ~ rdn_add_with_carry(rdnn(n0),X2,X4,X5)
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(n7),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_184,plain,
( sum(X1,X2,X3)
| ~ rdn_add_with_carry(rdnn(n0),X4,X5,X6)
| ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X4)
| ~ rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(n7),rdnn(n0))
| ~ rdn_translate(X3,rdn_pos(rdn(rdnn(n7),X6)))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(X8),X5)))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X7),X4))) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_185,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
i_0_74 ).
cnf(c_0_186,plain,
( sum(X1,X2,X3)
| ~ rdn_add_with_carry(rdnn(n0),X4,X5,X6)
| ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X5)
| ~ rdn_non_zero(X4)
| ~ rdn_translate(X3,rdn_pos(rdn(rdnn(n7),X6)))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),X5)))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),X4))) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_187,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
i_0_25 ).
cnf(c_0_188,plain,
( sum(X1,X2,n57)
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,rdnn(n5))
| ~ rdn_non_zero(rdnn(n5))
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X3)
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),X4)))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),X3))) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_189,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
i_0_141 ).
cnf(c_0_190,plain,
rdn_non_zero_digit(rdnn(n5)),
i_0_35 ).
cnf(c_0_191,plain,
( rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)) ),
i_0_1 ).
cnf(c_0_192,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
i_0_90 ).
cnf(c_0_193,plain,
( sum(X1,X2,n57)
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,rdnn(n5))
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X3)
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),X4)))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190])]) ).
cnf(c_0_194,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n5),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_195,plain,
( sum(X1,X2,n57)
| ~ rdn_non_zero(rdnn(X3))
| ~ rdn_non_zero(rdnn(X4))
| ~ rdn_digit_add(rdnn(X4),rdnn(X3),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),rdnn(X3))))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),rdnn(X4)))) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_196,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
i_0_63 ).
cnf(c_0_197,plain,
( sum(X1,X2,n57)
| ~ rdn_non_zero(rdnn(n3))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),rdnn(n3))))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),rdnn(n2)))) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_198,plain,
rdn_non_zero_digit(rdnn(n3)),
i_0_33 ).
cnf(c_0_199,plain,
( sum(X1,X2,n57)
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),rdnn(n3))))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),rdnn(n2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_189]),c_0_198])]) ).
cnf(c_0_200,plain,
rdn_non_zero_digit(rdnn(n2)),
i_0_32 ).
cnf(c_0_201,plain,
( sum(X1,X2,n57)
| ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n4),rdnn(n3))))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),rdnn(n2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_189]),c_0_200])]) ).
cnf(c_0_202,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
i_0_22 ).
cnf(c_0_203,plain,
( sum(X1,n34,n57)
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n3),rdnn(n2)))) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_204,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
i_0_20 ).
cnf(c_0_205,negated_conjecture,
~ sum(n23,n34,n57),
i_0_161 ).
cnf(c_0_206,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM306+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue Jul 5 12:15:25 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.43 # ENIGMATIC: Selected SinE mode:
% 0.16/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.16/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.16/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 66.35/9.87 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 66.35/9.87 # Version: 2.1pre011
% 66.35/9.87 # Preprocessing time : 0.020 s
% 66.35/9.87
% 66.35/9.87 # Proof found!
% 66.35/9.87 # SZS status Theorem
% 66.35/9.87 # SZS output start CNFRefutation
% See solution above
% 66.35/9.87 # Proof object total steps : 45
% 66.35/9.87 # Proof object clause steps : 29
% 66.35/9.87 # Proof object formula steps : 16
% 66.35/9.87 # Proof object conjectures : 2
% 66.35/9.87 # Proof object clause conjectures : 1
% 66.35/9.87 # Proof object formula conjectures : 1
% 66.35/9.87 # Proof object initial clauses used : 16
% 66.35/9.87 # Proof object initial formulas used : 16
% 66.35/9.87 # Proof object generating inferences : 13
% 66.35/9.87 # Proof object simplifying inferences : 7
% 66.35/9.87 # Training examples: 0 positive, 0 negative
% 66.35/9.87 # Parsed axioms : 164
% 66.35/9.87 # Removed by relevancy pruning/SinE : 0
% 66.35/9.87 # Initial clauses : 164
% 66.35/9.87 # Removed in clause preprocessing : 0
% 66.35/9.87 # Initial clauses in saturation : 164
% 66.35/9.87 # Processed clauses : 13161
% 66.35/9.87 # ...of these trivial : 3
% 66.35/9.87 # ...subsumed : 1956
% 66.35/9.87 # ...remaining for further processing : 11202
% 66.35/9.87 # Other redundant clauses eliminated : 2
% 66.35/9.87 # Clauses deleted for lack of memory : 0
% 66.35/9.87 # Backward-subsumed : 2457
% 66.35/9.87 # Backward-rewritten : 52
% 66.35/9.87 # Generated clauses : 48376
% 66.35/9.87 # ...of the previous two non-trivial : 47347
% 66.35/9.87 # Contextual simplify-reflections : 4009
% 66.35/9.87 # Paramodulations : 48372
% 66.35/9.87 # Factorizations : 2
% 66.35/9.87 # Equation resolutions : 2
% 66.35/9.87 # Propositional unsat checks : 2
% 66.35/9.87 # Propositional unsat check successes : 0
% 66.35/9.87 # Current number of processed clauses : 8691
% 66.35/9.87 # Positive orientable unit clauses : 234
% 66.35/9.87 # Positive unorientable unit clauses: 0
% 66.35/9.87 # Negative unit clauses : 115
% 66.35/9.87 # Non-unit-clauses : 8342
% 66.35/9.87 # Current number of unprocessed clauses: 33563
% 66.35/9.87 # ...number of literals in the above : 320942
% 66.35/9.87 # Current number of archived formulas : 0
% 66.35/9.87 # Current number of archived clauses : 2509
% 66.35/9.87 # Clause-clause subsumption calls (NU) : 26222381
% 66.35/9.87 # Rec. Clause-clause subsumption calls : 887272
% 66.35/9.87 # Non-unit clause-clause subsumptions : 7993
% 66.35/9.87 # Unit Clause-clause subsumption calls : 28548
% 66.35/9.87 # Rewrite failures with RHS unbound : 0
% 66.35/9.87 # BW rewrite match attempts : 53
% 66.35/9.87 # BW rewrite match successes : 52
% 66.35/9.87 # Condensation attempts : 0
% 66.35/9.87 # Condensation successes : 0
% 66.35/9.87 # Termbank termtop insertions : 2712840
% 66.35/9.87
% 66.35/9.87 # -------------------------------------------------
% 66.35/9.87 # User time : 7.278 s
% 66.35/9.87 # System time : 0.043 s
% 66.35/9.87 # Total time : 7.321 s
% 66.35/9.87 # ...preprocessing : 0.020 s
% 66.35/9.87 # ...main loop : 7.302 s
% 66.35/9.87 # Maximum resident set size: 61900 pages
% 66.35/9.87
%------------------------------------------------------------------------------