TSTP Solution File: SYN170-10 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN170-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 : Thu Jul 21 11:58:11 EDT 2022

% Result   : Unsatisfiable 0.58s 0.83s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   2 RR)
%            Number of literals    :   12 (  11 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-4 aty)
%            Number of variables   :   19 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq(X,X,Y,Z) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(axiom_19,axiom,
    m0(X,d,Y) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

cnf(rule_110,axiom,
    ifeq(m0(X,Y,Z),true,q1(Z,Z,Z),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).

cnf(rule_154,axiom,
    ifeq(q1(X,X,X),true,p2(X,X,X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).

cnf(rule_205,axiom,
    ifeq(p2(X,Y,Y),true,k3(Y,Y,Y),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_205) ).

cnf(rule_287,axiom,
    ifeq(k3(X,X,Y),true,p4(X,Y,X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).

cnf(prove_this,negated_conjecture,
    p4(X,c,Y) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(513,plain,
    q1(X,X,X) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_110,axiom_19,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(515,plain,
    p2(X,X,X) = true,
    inference('REWRITE',[status(thm)],[rule_154,ifeq_axiom,513,theory(equality)]) ).

cnf(546,plain,
    k3(X,X,X) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_205,515,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(947,plain,
    p4(X,X,X) = true,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[rule_287,546,theory(equality)]),ifeq_axiom,theory(equality)]) ).

cnf(1015,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[prove_this,947]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN170-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.10  % Command  : run-snark %s %d
% 0.09/0.30  % Computer : n018.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Mon Jul 11 18:56:44 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.14/0.39  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.40  #<PACKAGE "SNARK-USER">
% 0.14/0.40  * 
% 0.14/0.40  SNARK-TPTP-OPTIONS
% 0.14/0.40  * 
% 0.14/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.40   (USE-FACTORING :POS)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.40  * 
% 0.14/0.40  "."
% 0.14/0.40  * 
% 0.14/0.40  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T18:56:44
% 0.14/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-11T18:56:44
% 0.58/0.83  
% 0.58/0.83  
% 0.58/0.83  #||
% 0.58/0.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.83  % SZS output start Refutation
% See solution above
% 0.58/0.83  ||#
% 0.58/0.83  
% 0.58/0.83  ; Summary of computation:
% 0.58/0.83  ;      2317 formulas have been input or derived (from 404 formulas).
% 0.58/0.83  ;      1015 (44%) were retained.  Of these,
% 0.58/0.83  ;          417 (41%) were simplified or subsumed later,
% 0.58/0.83  ;          598 (59%) are still being kept.
% 0.58/0.83  ; 
% 0.58/0.83  ; Run time in seconds excluding printing time:
% 0.58/0.83  ;     0.072  17%   Read assertion file          (1 call)
% 0.58/0.83  ;     0.009   2%   Assert                       (363 calls)
% 0.58/0.83  ;     0.123  29%   Process new row              (2,081 calls)
% 0.58/0.83  ;     0.013   3%   Resolution                   (806 calls)
% 0.58/0.83  ;     0.036   9%   Paramodulation               (403 calls)
% 0.58/0.83  ;     0.042  10%   Forward simplification       (2,043 calls)
% 0.58/0.83  ;     0.071  17%   Backward simplification      (964 calls)
% 0.58/0.83  ;     0.007   2%   Ordering                     (4,423 calls)
% 0.58/0.83  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.58/0.83  ;     0.000   0%   Purity testing               (1 call)
% 0.58/0.83  ;     0.047  11%   Other
% 0.58/0.83  ;     0.420        Total
% 0.58/0.83  ;     0.428        Real time
% 0.58/0.83  ; 
% 0.58/0.83  ; Term-hash-array has 3,314 terms in all.
% 0.58/0.83  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.58/0.83  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.58/0.83  ; Path-index has 2,194 entries (2,194 at peak, 3,491 added, 1,297 deleted).
% 0.58/0.83  ; Path-index has 4,072 nodes (4,148 at peak, 5,266 added, 1,194 deleted).
% 0.58/0.83  ; Trie-index has 2,194 entries (2,194 at peak, 3,491 added, 1,297 deleted).
% 0.58/0.83  ; Trie-index has 11,914 nodes (11,914 at peak, 19,472 added, 7,558 deleted).
% 0.58/0.83  ; Retrieved 4,318 generalization terms in 7,207 calls.
% 0.58/0.83  ; Retrieved 1,520 instance terms in 963 calls.
% 0.58/0.83  ; Retrieved 3,683 unifiable terms in 3,119 calls.
% 0.58/0.83  ; 
% 0.58/0.83  ; The agenda of rows to process has 13 entries:
% 0.58/0.83  ;     2 with value 7               1 with value 21               2 with value 29
% 0.58/0.83  ;     1 with value 12              2 with value 22               1 with value 36
% 0.58/0.83  ;     2 with value 16              2 with value 24
% 0.58/0.83  ; The agenda of rows to give has 332 entries:
% 0.58/0.83  ;     3 with value (4 10)         25 with value (4 18)          15 with value (4 25)
% 0.58/0.83  ;     2 with value (4 11)          5 with value (4 19)          19 with value (4 26)
% 0.58/0.83  ;     1 with value (4 12)          1 with value (4 20)           3 with value (4 28)
% 0.58/0.83  ;     1 with value (4 13)         12 with value (4 21)           5 with value (4 29)
% 0.58/0.83  ;    12 with value (4 14)         34 with value (4 22)           6 with value (4 30)
% 0.58/0.83  ;    41 with value (4 15)         29 with value (4 23)           2 with value (4 31)
% 0.58/0.83  ;    42 with value (4 16)         27 with value (4 24)           1 with value (4 33)
% 0.58/0.83  ;    46 with value (4 17)
% 0.58/0.83  Evaluation took:
% 0.58/0.83    0.428 seconds of real time
% 0.58/0.83    0.389115 seconds of user run time
% 0.58/0.83    0.032902 seconds of system run time
% 0.58/0.83    [Run times include 0.02 seconds GC run time.]
% 0.58/0.83    0 calls to %EVAL
% 0.58/0.83    0 page faults and
% 0.58/0.83    22,662,752 bytes consed.
% 0.58/0.83  :PROOF-FOUND
% 0.58/0.83  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T18:56:44
% 0.58/0.83  :PROOF-FOUND
% 0.58/0.83  * 
%------------------------------------------------------------------------------