TSTP Solution File: NUM345+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM345+1 : TPTP v8.1.0. Released v3.1.0.
% 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 08:24:23 EDT 2022
% Result : Theorem 7.16s 2.06s
% Output : CNFRefutation 7.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 23 unt; 0 nHn; 38 RR)
% Number of literals : 71 ( 4 equ; 35 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_1) ).
cnf(i_0_87,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_87) ).
cnf(i_0_60,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_60) ).
cnf(i_0_156,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/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_156) ).
cnf(i_0_23,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_23) ).
cnf(i_0_21,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_21) ).
cnf(i_0_8,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_8) ).
cnf(i_0_145,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_145) ).
cnf(i_0_162,plain,
( X1 = X2
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_162) ).
cnf(i_0_159,negated_conjecture,
sum(n2,n3,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_159) ).
cnf(i_0_20,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_20) ).
cnf(i_0_24,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_24) ).
cnf(i_0_158,negated_conjecture,
~ less(esk1_0,n6),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-978yhv_0/lgb.p',i_0_158) ).
cnf(c_0_176,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_177,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
i_0_87 ).
cnf(c_0_178,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_176,c_0_177]) ).
cnf(c_0_179,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
i_0_60 ).
cnf(c_0_180,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_156 ).
cnf(c_0_181,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_182,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_183,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
i_0_23 ).
cnf(c_0_184,plain,
( sum(X1,X2,n5)
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_185,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
i_0_21 ).
cnf(c_0_186,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
i_0_8 ).
cnf(c_0_187,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
i_0_145 ).
cnf(c_0_188,plain,
( X1 = X2
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
i_0_162 ).
cnf(c_0_189,negated_conjecture,
sum(n2,n3,esk1_0),
i_0_159 ).
cnf(c_0_190,plain,
( sum(X1,n3,n5)
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_191,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
i_0_20 ).
cnf(c_0_192,plain,
( less(X1,X2)
| ~ rdn_translate(X2,rdn_pos(rdnn(n6)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
i_0_24 ).
cnf(c_0_194,negated_conjecture,
( X1 = esk1_0
| ~ sum(n2,n3,X1) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,plain,
sum(n2,n3,n5),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_196,plain,
( less(X1,n6)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_197,negated_conjecture,
~ less(esk1_0,n6),
i_0_158 ).
cnf(c_0_198,negated_conjecture,
esk1_0 = n5,
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_199,plain,
less(n5,n6),
inference(spm,[status(thm)],[c_0_196,c_0_183]) ).
cnf(c_0_200,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_199])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM345+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.07 % Command : enigmatic-eprover.py %s %d 1
% 0.07/0.26 % Computer : n018.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Thu Jul 7 12:42:11 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.10/0.31 # ENIGMATIC: Selected SinE mode:
% 0.10/0.32 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.10/0.32 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.10/0.32 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.16/2.06 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.16/2.06 # No SInE strategy applied
% 7.16/2.06 # Trying AutoSched0 for 150 seconds
% 7.16/2.06 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 7.16/2.06 # and selection function SelectCQArNp.
% 7.16/2.06 #
% 7.16/2.06 # Preprocessing time : 0.025 s
% 7.16/2.06 # Presaturation interreduction done
% 7.16/2.06
% 7.16/2.06 # Proof found!
% 7.16/2.06 # SZS status Theorem
% 7.16/2.06 # SZS output start CNFRefutation
% See solution above
% 7.16/2.06 # Training examples: 0 positive, 0 negative
% 7.16/2.06
% 7.16/2.06 # -------------------------------------------------
% 7.16/2.06 # User time : 0.049 s
% 7.16/2.06 # System time : 0.007 s
% 7.16/2.06 # Total time : 0.056 s
% 7.16/2.06 # Maximum resident set size: 7124 pages
% 7.16/2.06
%------------------------------------------------------------------------------