TSTP Solution File: SYN166-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN166-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 11:58:09 EDT 2022

% Result   : Unsatisfiable 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;   8 RR)
%            Number of literals    :   17 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    7 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(axiom_12,axiom,
    m0(a,X,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).

cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(axiom_38,axiom,
    m0(b,a,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_38) ).

cnf(rule_075,axiom,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_075) ).

cnf(122,plain,
    p1(a,a,a),
    inference('REWRITE',[status(thm)],[rule_075,axiom_14]) ).

cnf(rule_082,axiom,
    ( p1(X,Y,Z)
    | ~ m0(Z,X,U)
    | ~ p1(Z,X,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).

cnf(rule_087,axiom,
    ( p1(a,b,a)
    | ~ r0(b)
    | ~ p1(a,a,a) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_087) ).

cnf(135,plain,
    p1(a,b,a),
    inference('REWRITE',[status(thm)],[rule_087,122,axiom_9]) ).

cnf(prove_this,negated_conjecture,
    ~ p1(a,b,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(501,plain,
    p1(b,X,a),
    inference('HYPERRESOLVE',[status(thm)],[rule_082,axiom_12,135]) ).

cnf(502,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_082,prove_this,axiom_38]),501]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN166-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 00:46:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:46:08
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-12T00:46:08
% 0.18/0.55  WARNING:
% 0.18/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.61  
% 0.44/0.61  
% 0.44/0.61  #||
% 0.44/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.61  % SZS output start Refutation
% See solution above
% 0.44/0.61  ||#
% 0.44/0.61  
% 0.44/0.61  ; Summary of computation:
% 0.44/0.61  ;       841 formulas have been input or derived (from 216 formulas).
% 0.44/0.61  ;       502 (60%) were retained.  Of these,
% 0.44/0.61  ;          239 (48%) were simplified or subsumed later,
% 0.44/0.61  ;          263 (52%) are still being kept.
% 0.44/0.61  ; 
% 0.44/0.61  ; Run time in seconds excluding printing time:
% 0.44/0.61  ;     0.062  41%   Read assertion file          (1 call)
% 0.44/0.61  ;     0.011   7%   Assert                       (369 calls)
% 0.44/0.61  ;     0.025  17%   Process new row              (719 calls)
% 0.44/0.61  ;     0.003   2%   Resolution                   (430 calls)
% 0.44/0.61  ;     0.002   1%   Paramodulation               (215 calls)
% 0.44/0.61  ;     0.004   3%   Condensing                   (322 calls)
% 0.44/0.61  ;     0.005   3%   Forward subsumption          (322 calls)
% 0.44/0.61  ;     0.005   3%   Backward subsumption         (308 calls)
% 0.44/0.61  ;     0.000   0%   Clause clause subsumption    (163 calls)
% 0.44/0.61  ;     0.007   5%   Forward simplification       (680 calls)
% 0.44/0.61  ;     0.006   4%   Backward simplification      (455 calls)
% 0.44/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.44/0.61  ;     0.020  13%   Other
% 0.44/0.61  ;     0.151        Total
% 0.44/0.61  ;     0.152        Real time
% 0.44/0.61  ; 
% 0.44/0.61  ; Term-hash-array has 598 terms in all.
% 0.44/0.61  ; Feature-vector-row-index has 161 entries (273 at peak, 308 added, 147 deleted).
% 0.44/0.61  ; Feature-vector-row-index has 614 nodes (936 at peak, 1,065 added, 451 deleted).
% 0.44/0.61  ;  Retrieved 139 possibly forward subsuming rows in 322 calls.
% 0.44/0.61  ;  Retrieved 151 possibly backward subsumed rows in 308 calls.
% 0.44/0.61  ; Path-index has 443 entries (528 at peak, 644 added, 201 deleted).
% 0.44/0.61  ; Path-index has 442 nodes (463 at peak, 517 added, 75 deleted).
% 0.44/0.61  ; Trie-index has 443 entries (528 at peak, 644 added, 201 deleted).
% 0.44/0.61  ; Trie-index has 534 nodes (586 at peak, 767 added, 233 deleted).
% 0.44/0.61  ; Retrieved 319 generalization terms in 757 calls.
% 0.44/0.61  ; Retrieved 420 instance terms in 146 calls.
% 0.44/0.61  ; Retrieved 5,132 unifiable terms in 1,009 calls.
% 0.44/0.61  ; 
% 0.44/0.61  ; The agenda of input rows to give has 46 entries:
% 0.44/0.61  ;    10 with value 15              4 with value 18               3 with value 21
% 0.44/0.61  ;    10 with value 16              6 with value 19               1 with value 22
% 0.44/0.61  ;    10 with value 17              2 with value 20
% 0.44/0.61  ; The agenda of rows to give has 61 entries:
% 0.44/0.61  ;    10 with value (4 4)          11 with value (4 5)           40 with value (4 6)
% 0.44/0.61  Evaluation took:
% 0.44/0.61    0.152 seconds of real time
% 0.44/0.61    0.138031 seconds of user run time
% 0.44/0.61    0.014761 seconds of system run time
% 0.44/0.61    0 calls to %EVAL
% 0.44/0.61    0 page faults and
% 0.44/0.61    8,410,384 bytes consed.
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:46:08
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  * 
%------------------------------------------------------------------------------