TSTP Solution File: NUM305+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM305+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 7.75s 2.58s
% Output   : CNFRefutation 7.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  13 unt;   0 nHn;  22 RR)
%            Number of literals    :   45 (   0 equ;  25 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   35 (   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-6y3hzm9n/input.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-6y3hzm9n/input.p',i_0_87) ).

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-6y3hzm9n/input.p',i_0_156) ).

cnf(i_0_60,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6y3hzm9n/input.p',i_0_60) ).

cnf(i_0_23,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6y3hzm9n/input.p',i_0_23) ).

cnf(i_0_21,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6y3hzm9n/input.p',i_0_21) ).

cnf(i_0_20,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6y3hzm9n/input.p',i_0_20) ).

cnf(i_0_158,negated_conjecture,
    ~ sum(n2,n3,n5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6y3hzm9n/input.p',i_0_158) ).

cnf(c_0_167,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_168,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    i_0_87 ).

cnf(c_0_169,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_170,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_167,c_0_168]) ).

cnf(c_0_171,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n5),rdnn(n0))
    | ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
    | ~ rdn_translate(X2,rdn_pos(rdnn(X5)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(X4))) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_172,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    i_0_60 ).

cnf(c_0_173,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_171,c_0_172]) ).

cnf(c_0_174,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    i_0_23 ).

cnf(c_0_175,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_173,c_0_174]) ).

cnf(c_0_176,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    i_0_21 ).

cnf(c_0_177,plain,
    ( sum(X1,n3,n5)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_178,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    i_0_20 ).

cnf(c_0_179,negated_conjecture,
    ~ sum(n2,n3,n5),
    i_0_158 ).

cnf(c_0_180,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM305+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 02:26:45 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.75/2.58  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.75/2.58  # Version: 2.1pre011
% 7.75/2.58  # Preprocessing time       : 0.021 s
% 7.75/2.58  
% 7.75/2.58  # Proof found!
% 7.75/2.58  # SZS status Theorem
% 7.75/2.58  # SZS output start CNFRefutation
% See solution above
% 7.75/2.58  # Proof object total steps             : 22
% 7.75/2.58  # Proof object clause steps            : 14
% 7.75/2.58  # Proof object formula steps           : 8
% 7.75/2.58  # Proof object conjectures             : 2
% 7.75/2.58  # Proof object clause conjectures      : 1
% 7.75/2.58  # Proof object formula conjectures     : 1
% 7.75/2.58  # Proof object initial clauses used    : 8
% 7.75/2.58  # Proof object initial formulas used   : 8
% 7.75/2.58  # Proof object generating inferences   : 6
% 7.75/2.58  # Proof object simplifying inferences  : 1
% 7.75/2.58  # Training examples: 0 positive, 0 negative
% 7.75/2.58  # Parsed axioms                        : 161
% 7.75/2.58  # Removed by relevancy pruning/SinE    : 0
% 7.75/2.58  # Initial clauses                      : 161
% 7.75/2.58  # Removed in clause preprocessing      : 0
% 7.75/2.58  # Initial clauses in saturation        : 161
% 7.75/2.58  # Processed clauses                    : 582
% 7.75/2.58  # ...of these trivial                  : 0
% 7.75/2.58  # ...subsumed                          : 132
% 7.75/2.58  # ...remaining for further processing  : 450
% 7.75/2.58  # Other redundant clauses eliminated   : 2
% 7.75/2.58  # Clauses deleted for lack of memory   : 0
% 7.75/2.58  # Backward-subsumed                    : 0
% 7.75/2.58  # Backward-rewritten                   : 0
% 7.75/2.58  # Generated clauses                    : 758
% 7.75/2.58  # ...of the previous two non-trivial   : 733
% 7.75/2.58  # Contextual simplify-reflections      : 70
% 7.75/2.58  # Paramodulations                      : 754
% 7.75/2.58  # Factorizations                       : 2
% 7.75/2.58  # Equation resolutions                 : 2
% 7.75/2.58  # Propositional unsat checks           : 0
% 7.75/2.58  # Propositional unsat check successes  : 0
% 7.75/2.58  # Current number of processed clauses  : 448
% 7.75/2.58  #    Positive orientable unit clauses  : 142
% 7.75/2.58  #    Positive unorientable unit clauses: 0
% 7.75/2.58  #    Negative unit clauses             : 63
% 7.75/2.58  #    Non-unit-clauses                  : 243
% 7.75/2.58  # Current number of unprocessed clauses: 312
% 7.75/2.58  # ...number of literals in the above   : 1419
% 7.75/2.58  # Current number of archived formulas  : 0
% 7.75/2.58  # Current number of archived clauses   : 0
% 7.75/2.58  # Clause-clause subsumption calls (NU) : 14899
% 7.75/2.58  # Rec. Clause-clause subsumption calls : 11204
% 7.75/2.58  # Non-unit clause-clause subsumptions  : 145
% 7.75/2.58  # Unit Clause-clause subsumption calls : 3631
% 7.75/2.58  # Rewrite failures with RHS unbound    : 0
% 7.75/2.58  # BW rewrite match attempts            : 1
% 7.75/2.58  # BW rewrite match successes           : 0
% 7.75/2.58  # Condensation attempts                : 0
% 7.75/2.58  # Condensation successes               : 0
% 7.75/2.58  # Termbank termtop insertions          : 19021
% 7.75/2.58  
% 7.75/2.58  # -------------------------------------------------
% 7.75/2.58  # User time                : 0.041 s
% 7.75/2.58  # System time              : 0.006 s
% 7.75/2.58  # Total time               : 0.047 s
% 7.75/2.58  # ...preprocessing         : 0.021 s
% 7.75/2.58  # ...main loop             : 0.026 s
% 7.75/2.58  # Maximum resident set size: 7128 pages
% 7.75/2.58  
%------------------------------------------------------------------------------