TSTP Solution File: SYN212-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN212-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 11:58:29 EDT 2022

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   25 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   23 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_002,axiom,
    ( l1(X,X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_248,axiom,
    ( p3(X,X,X)
    | ~ p2(Y,X,X)
    | ~ n3(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_248) ).

cnf(rule_299,axiom,
    ( s4(X)
    | ~ p3(Y,Z,U)
    | ~ l1(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).

cnf(prove_this,negated_conjecture,
    ~ s4(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(397,plain,
    l1(e,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_3]) ).

cnf(444,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(446,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,444]) ).

cnf(449,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,446]) ).

cnf(451,plain,
    ( p3(X,X,X)
    | ~ p2(Y,X,X) ),
    inference('REWRITE',[status(thm)],[rule_248,449]) ).

cnf(458,plain,
    p3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[451,446]) ).

cnf(669,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_299,458,prove_this,397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN212-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 05:00:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:00:22
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-12T05:00:22
% 0.37/0.55  WARNING:
% 0.37/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.55  WARNING:
% 0.37/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.55  WARNING:
% 0.37/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  #||
% 0.46/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65  % SZS output start Refutation
% See solution above
% 0.46/0.65  ||#
% 0.46/0.65  
% 0.46/0.65  ; Summary of computation:
% 0.46/0.65  ;      1546 formulas have been input or derived (from 353 formulas).
% 0.46/0.65  ;       669 (43%) were retained.  Of these,
% 0.46/0.65  ;          352 (53%) were simplified or subsumed later,
% 0.46/0.65  ;          317 (47%) are still being kept.
% 0.46/0.65  ; 
% 0.46/0.65  ; Run time in seconds excluding printing time:
% 0.46/0.65  ;     0.062  35%   Read assertion file          (1 call)
% 0.46/0.65  ;     0.010   6%   Assert                       (369 calls)
% 0.46/0.65  ;     0.023  13%   Process new row              (1,293 calls)
% 0.46/0.65  ;     0.016   9%   Resolution                   (704 calls)
% 0.46/0.65  ;     0.001   1%   Paramodulation               (352 calls)
% 0.46/0.65  ;     0.002   1%   Condensing                   (354 calls)
% 0.46/0.65  ;     0.005   3%   Forward subsumption          (354 calls)
% 0.46/0.65  ;     0.006   3%   Backward subsumption         (340 calls)
% 0.46/0.65  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.46/0.65  ;     0.012   7%   Forward simplification       (1,228 calls)
% 0.46/0.65  ;     0.011   6%   Backward simplification      (622 calls)
% 0.46/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.46/0.65  ;     0.027  15%   Other
% 0.46/0.65  ;     0.176        Total
% 0.46/0.65  ;     0.178        Real time
% 0.46/0.65  ; 
% 0.46/0.65  ; Term-hash-array has 701 terms in all.
% 0.46/0.65  ; Feature-vector-row-index has 121 entries (273 at peak, 340 added, 219 deleted).
% 0.46/0.65  ; Feature-vector-row-index has 428 nodes (936 at peak, 1,180 added, 752 deleted).
% 0.46/0.65  ;  Retrieved 149 possibly forward subsuming rows in 354 calls.
% 0.46/0.65  ;  Retrieved 160 possibly backward subsumed rows in 340 calls.
% 0.46/0.65  ; Path-index has 460 entries (527 at peak, 802 added, 342 deleted).
% 0.46/0.65  ; Path-index has 451 nodes (463 at peak, 594 added, 143 deleted).
% 0.46/0.65  ; Trie-index has 460 entries (527 at peak, 802 added, 342 deleted).
% 0.46/0.65  ; Trie-index has 626 nodes (633 at peak, 1,019 added, 393 deleted).
% 0.46/0.65  ; Retrieved 840 generalization terms in 1,321 calls.
% 0.46/0.65  ; Retrieved 648 instance terms in 281 calls.
% 0.46/0.65  ; Retrieved 12,692 unifiable terms in 2,825 calls.
% 0.46/0.65  ; 
% 0.46/0.65  ; The agenda of rows to process has 15 entries:
% 0.46/0.65  ;    14 with value 5               1 with value 6
% 0.46/0.65  ; The agenda of rows to give has 101 entries:
% 0.46/0.65  ;    43 with value (4 6)          55 with value (4 7)            3 with value (4 8)
% 0.46/0.65  Evaluation took:
% 0.46/0.65    0.178 seconds of real time
% 0.46/0.65    0.169316 seconds of user run time
% 0.46/0.65    0.009211 seconds of system run time
% 0.46/0.65    0 calls to %EVAL
% 0.46/0.65    0 page faults and
% 0.46/0.65    10,363,440 bytes consed.
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:00:22
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  * 
%------------------------------------------------------------------------------