TSTP Solution File: SYN175-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN175-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 11:58:13 EDT 2022

% Result   : Unsatisfiable 0.49s 0.67s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(prove_this,negated_conjecture,
    ~ q2(X,d,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(418,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(420,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,418]) ).

cnf(422,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[prove_this,420]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN175-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 12:56:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  * 
% 0.19/0.50  * 
% 0.19/0.51  #<PACKAGE "SNARK-USER">
% 0.19/0.51  * 
% 0.19/0.51  SNARK-TPTP-OPTIONS
% 0.19/0.51  * 
% 0.19/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.51   (USE-FACTORING :POS)
% 0.19/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.51  * 
% 0.19/0.51  "."
% 0.19/0.51  * 
% 0.19/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:56:37
% 0.19/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-11T12:56:37
% 0.42/0.59  WARNING:
% 0.42/0.59     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.59  WARNING:
% 0.42/0.59     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.59  WARNING:
% 0.42/0.59     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.49/0.67  
% 0.49/0.67  
% 0.49/0.67  #||
% 0.49/0.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.67  % SZS output start Refutation
% See solution above
% 0.49/0.67  ||#
% 0.49/0.67  
% 0.49/0.67  ; Summary of computation:
% 0.49/0.67  ;       550 formulas have been input or derived (from 93 formulas).
% 0.49/0.67  ;       422 (77%) were retained.  Of these,
% 0.49/0.67  ;          107 (25%) were simplified or subsumed later,
% 0.49/0.67  ;          315 (75%) are still being kept.
% 0.49/0.67  ; 
% 0.49/0.67  ; Run time in seconds excluding printing time:
% 0.49/0.67  ;     0.059  37%   Read assertion file          (1 call)
% 0.49/0.67  ;     0.011   7%   Assert                       (369 calls)
% 0.49/0.67  ;     0.025  16%   Process new row              (470 calls)
% 0.49/0.67  ;     0.006   4%   Resolution                   (184 calls)
% 0.49/0.67  ;     0.000   0%   Paramodulation               (92 calls)
% 0.49/0.67  ;     0.005   3%   Condensing                   (310 calls)
% 0.49/0.67  ;     0.002   1%   Forward subsumption          (310 calls)
% 0.49/0.67  ;     0.007   4%   Backward subsumption         (296 calls)
% 0.49/0.67  ;     0.001   1%   Clause clause subsumption    (155 calls)
% 0.49/0.67  ;     0.007   4%   Forward simplification       (457 calls)
% 0.49/0.67  ;     0.005   3%   Backward simplification      (375 calls)
% 0.49/0.67  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.49/0.67  ;     0.001   1%   Purity testing               (1 call)
% 0.49/0.67  ;     0.030  19%   Other
% 0.49/0.67  ;     0.160        Total
% 0.49/0.67  ;     0.162        Real time
% 0.49/0.67  ; 
% 0.49/0.67  ; Term-hash-array has 545 terms in all.
% 0.49/0.67  ; Feature-vector-row-index has 246 entries (273 at peak, 296 added, 50 deleted).
% 0.49/0.67  ; Feature-vector-row-index has 815 nodes (936 at peak, 1,019 added, 204 deleted).
% 0.49/0.67  ;  Retrieved 137 possibly forward subsuming rows in 310 calls.
% 0.49/0.67  ;  Retrieved 137 possibly backward subsumed rows in 296 calls.
% 0.49/0.67  ; Path-index has 503 entries (523 at peak, 571 added, 68 deleted).
% 0.49/0.67  ; Path-index has 455 nodes (458 at peak, 490 added, 35 deleted).
% 0.49/0.67  ; Trie-index has 503 entries (523 at peak, 571 added, 68 deleted).
% 0.49/0.67  ; Trie-index has 565 nodes (581 at peak, 647 added, 82 deleted).
% 0.49/0.67  ; Retrieved 130 generalization terms in 542 calls.
% 0.49/0.67  ; Retrieved 135 instance terms in 78 calls.
% 0.49/0.67  ; Retrieved 2,085 unifiable terms in 359 calls.
% 0.49/0.67  ; 
% 0.49/0.67  ; The agenda of rows to process has 1 entry:
% 0.49/0.67  ;     1 with value 4
% 0.49/0.67  ; The agenda of input rows to give has 209 entries:
% 0.49/0.67  ;     1 with value 8              13 with value 14               9 with value 19
% 0.49/0.67  ;    19 with value 9              21 with value 15               6 with value 20
% 0.49/0.67  ;    33 with value 10             11 with value 16               3 with value 21
% 0.49/0.67  ;     9 with value 11             14 with value 17               2 with value 22
% 0.49/0.67  ;    24 with value 12              7 with value 18               1 with value 24
% 0.49/0.67  ;    36 with value 13
% 0.49/0.67  ; The agenda of rows to give has 24 entries:
% 0.49/0.67  ;     8 with value (4 4)           5 with value (4 5)           11 with value (4 6)
% 0.49/0.67  Evaluation took:
% 0.49/0.67    0.163 seconds of real time
% 0.49/0.67    0.144424 seconds of user run time
% 0.49/0.67    0.017862 seconds of system run time
% 0.49/0.67    0 calls to %EVAL
% 0.49/0.67    0 page faults and
% 0.49/0.67    7,149,472 bytes consed.
% 0.49/0.67  :PROOF-FOUND
% 0.49/0.67  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:56:37
% 0.49/0.67  :PROOF-FOUND
% 0.49/0.67  * 
%------------------------------------------------------------------------------