TSTP Solution File: ALG183+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG183+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 : Thu Jul 14 18:00:06 EDT 2022

% Result   : Theorem 0.43s 0.63s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   27 (  18 unt;   9 nHn;  27 RR)
%            Number of literals    :   48 (  47 equ;   3 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    e10 != e14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

cnf(8,axiom,
    e12 != e13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

cnf(11,axiom,
    e20 != e21,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

cnf(46,axiom,
    op1(e10,e10) = e14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

cnf(58,axiom,
    op1(e12,e12) = e13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

cnf(64,axiom,
    op1(e13,e13) = e12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

cnf(70,axiom,
    op1(e14,e14) = e10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

cnf(71,axiom,
    op2(e20,e20) = e20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(77,axiom,
    op2(e21,e21) = e21,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(101,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(102,negated_conjecture,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | j(e21) = e14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(156,negated_conjecture,
    j(op2(e20,e20)) = op1(j(e20),j(e20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(157,plain,
    j(e20) = op1(j(e20),j(e20)),
    inference('REWRITE',[status(thm)],[156,71,theory(equality)]) ).

cnf(168,negated_conjecture,
    j(op2(e21,e21)) = op1(j(e21),j(e21)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(169,plain,
    j(e21) = op1(j(e21),j(e21)),
    inference('REWRITE',[status(thm)],[168,77,theory(equality)]) ).

cnf(206,negated_conjecture,
    h(j(e20)) = e20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(207,negated_conjecture,
    h(j(e21)) = e21,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(266,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,101,theory(equality)]),4,70,theory(equality)]) ).

cnf(268,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,102,theory(equality)]),4,70,theory(equality)]) ).

cnf(276,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,266,theory(equality)]),8,64,theory(equality)]) ).

cnf(278,plain,
    ( j(e20) = e10
    | j(e20) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,276,theory(equality)]),8,58,theory(equality)]) ).

cnf(279,plain,
    ( j(e20) = e10
    | h(e11) = e20 ),
    inference('PARAMODULATE',[status(thm)],[206,278,theory(equality)]) ).

cnf(289,plain,
    h(e11) = e20,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[157,279,theory(equality)]),4,46,theory(equality)]) ).

cnf(320,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,268,theory(equality)]),8,64,theory(equality)]) ).

cnf(322,plain,
    ( j(e21) = e10
    | j(e21) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,320,theory(equality)]),8,58,theory(equality)]) ).

cnf(323,plain,
    j(e21) = e10,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[207,322,theory(equality)]),11,289,theory(equality)]) ).

cnf(324,plain,
    $false,
    inference('REWRITE',[status(thm)],[169,4,46,323,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : ALG183+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jun  8 16:03:21 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T16:03:21
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-08T16:03:21
% 0.43/0.63  
% 0.43/0.63  
% 0.43/0.63  #||
% 0.43/0.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.63  % SZS output start Refutation
% See solution above
% 0.47/0.63  ||#
% 0.47/0.63  
% 0.47/0.63  ; Summary of computation:
% 0.47/0.63  ;       619 formulas have been input or derived (from 199 formulas).
% 0.47/0.63  ;       324 (52%) were retained.  Of these,
% 0.47/0.63  ;          176 (54%) were simplified or subsumed later,
% 0.47/0.63  ;          148 (46%) are still being kept.
% 0.47/0.63  ; 
% 0.47/0.63  ; Run time in seconds excluding printing time:
% 0.47/0.63  ;     0.014  12%   Read assertion file          (1 call)
% 0.47/0.63  ;     0.012  11%   Assert                       (6 calls)
% 0.47/0.63  ;     0.018  16%   Process new row              (545 calls)
% 0.47/0.63  ;     0.003   3%   Resolution                   (396 calls)
% 0.47/0.63  ;     0.005   4%   Paramodulation               (198 calls)
% 0.47/0.63  ;     0.001   1%   Factoring                    (17 calls)
% 0.47/0.63  ;     0.000   0%   Condensing                   (103 calls)
% 0.47/0.63  ;     0.005   4%   Forward subsumption          (103 calls)
% 0.47/0.63  ;     0.006   5%   Backward subsumption         (91 calls)
% 0.47/0.63  ;     0.000   0%   Clause clause subsumption    (58 calls)
% 0.47/0.63  ;     0.016  14%   Forward simplification       (455 calls)
% 0.47/0.63  ;     0.004   4%   Backward simplification      (274 calls)
% 0.47/0.63  ;     0.000   0%   Ordering                     (1,544 calls)
% 0.47/0.63  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.47/0.63  ;     0.000   0%   Purity testing               (1 call)
% 0.47/0.63  ;     0.028  25%   Other
% 0.47/0.63  ;     0.113        Total
% 0.47/0.63  ;     0.116        Real time
% 0.47/0.63  ; 
% 0.47/0.63  ; Term-hash-array has 412 terms in all.
% 0.47/0.63  ; Feature-vector-row-index has 7 entries (69 at peak, 91 added, 84 deleted).
% 0.47/0.63  ; Feature-vector-row-index has 54 nodes (593 at peak, 789 added, 735 deleted).
% 0.47/0.63  ;  Retrieved 12 possibly forward subsuming rows in 103 calls.
% 0.47/0.63  ;  Retrieved 46 possibly backward subsumed rows in 91 calls.
% 0.47/0.63  ; Path-index has 280 entries (392 at peak, 488 added, 208 deleted).
% 0.47/0.63  ; Path-index has 152 nodes (170 at peak, 170 added, 18 deleted).
% 0.47/0.63  ; Trie-index has 280 entries (392 at peak, 488 added, 208 deleted).
% 0.47/0.63  ; Trie-index has 490 nodes (673 at peak, 815 added, 325 deleted).
% 0.47/0.63  ; Retrieved 166 generalization terms in 1,388 calls.
% 0.47/0.63  ; Retrieved 182 instance terms in 182 calls.
% 0.47/0.63  ; Retrieved 153 unifiable terms in 1,226 calls.
% 0.47/0.63  ; 
% 0.47/0.63  ; The agenda of backward simplifiable rows to process has 14 entries:
% 0.47/0.63  ;    14 with value 0
% 0.47/0.63  ; The agenda of rows to process has 10 entries:
% 0.47/0.63  ;     1 with value 17              2 with value 19               4 with value 20
% 0.47/0.63  ;     3 with value 18
% 0.47/0.63  ; The agenda of rows to give has 8 entries:
% 0.47/0.63  ;     1 with value (4 10)          7 with value (4 25)
% 0.47/0.63  Evaluation took:
% 0.47/0.63    0.116 seconds of real time
% 0.47/0.63    0.099841 seconds of user run time
% 0.47/0.63    0.016024 seconds of system run time
% 0.47/0.63    0 calls to %EVAL
% 0.47/0.63    0 page faults and
% 0.47/0.63    7,264,128 bytes consed.
% 0.47/0.63  :PROOF-FOUND
% 0.47/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T16:03:21
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  * 
%------------------------------------------------------------------------------