TSTP Solution File: SYN109-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 11:57:46 EDT 2022

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   18 (   8 sgn)

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

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

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

cnf(rule_001,axiom,
    ( k1(X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(rule_007,axiom,
    ( m1(X,Y,X)
    | ~ p0(Z,Y)
    | ~ r0(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).

cnf(rule_107,axiom,
    ( q1(e,X,X)
    | ~ m0(X,d,X)
    | ~ m0(e,d,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).

cnf(155,plain,
    q1(e,X,X),
    inference('REWRITE',[status(thm)],[rule_107,axiom_19]) ).

cnf(rule_127,axiom,
    ( k2(X,Y)
    | ~ m1(Z,Y,X)
    | ~ k1(U)
    | ~ k2(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(rule_129,axiom,
    ( k2(X,X)
    | ~ q1(Y,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(prove_this,negated_conjecture,
    ~ k2(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(380,plain,
    k1(c),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_26]) ).

cnf(430,plain,
    k2(X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_129,155]) ).

cnf(468,plain,
    m1(b,X,b),
    inference('HYPERRESOLVE',[status(thm)],[rule_007,axiom_14,axiom_9]) ).

cnf(692,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_127,468,prove_this,380,430]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 23:20:58 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:20:58
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-11T23:20:58
% 0.20/0.56  WARNING:
% 0.20/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56  WARNING:
% 0.20/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56  WARNING:
% 0.20/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66  
% 0.46/0.66  
% 0.46/0.66  #||
% 0.46/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.66  % SZS output start Refutation
% See solution above
% 0.46/0.66  ||#
% 0.46/0.66  
% 0.46/0.66  ; Summary of computation:
% 0.46/0.66  ;      1632 formulas have been input or derived (from 368 formulas).
% 0.46/0.66  ;       692 (42%) were retained.  Of these,
% 0.46/0.66  ;          361 (52%) were simplified or subsumed later,
% 0.46/0.66  ;          331 (48%) are still being kept.
% 0.46/0.66  ; 
% 0.46/0.66  ; Run time in seconds excluding printing time:
% 0.46/0.66  ;     0.065  36%   Read assertion file          (1 call)
% 0.46/0.66  ;     0.009   5%   Assert                       (369 calls)
% 0.46/0.66  ;     0.030  16%   Process new row              (1,342 calls)
% 0.46/0.66  ;     0.014   8%   Resolution                   (734 calls)
% 0.46/0.66  ;     0.001   1%   Paramodulation               (367 calls)
% 0.46/0.66  ;     0.001   1%   Condensing                   (356 calls)
% 0.46/0.66  ;     0.004   2%   Forward subsumption          (356 calls)
% 0.46/0.66  ;     0.009   5%   Backward subsumption         (342 calls)
% 0.46/0.66  ;     0.001   1%   Clause clause subsumption    (170 calls)
% 0.46/0.66  ;     0.008   4%   Forward simplification       (1,276 calls)
% 0.46/0.66  ;     0.010   5%   Backward simplification      (645 calls)
% 0.46/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.66  ;     0.002   1%   Purity testing               (1 call)
% 0.46/0.66  ;     0.029  16%   Other
% 0.46/0.66  ;     0.183        Total
% 0.46/0.66  ;     0.185        Real time
% 0.46/0.66  ; 
% 0.46/0.66  ; Term-hash-array has 714 terms in all.
% 0.46/0.66  ; Feature-vector-row-index has 115 entries (273 at peak, 342 added, 227 deleted).
% 0.46/0.66  ; Feature-vector-row-index has 411 nodes (936 at peak, 1,188 added, 777 deleted).
% 0.46/0.66  ;  Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.46/0.66  ;  Retrieved 160 possibly backward subsumed rows in 342 calls.
% 0.46/0.66  ; Path-index has 469 entries (526 at peak, 819 added, 350 deleted).
% 0.46/0.66  ; Path-index has 462 nodes (462 at peak, 610 added, 148 deleted).
% 0.46/0.66  ; Trie-index has 469 entries (526 at peak, 819 added, 350 deleted).
% 0.46/0.66  ; Trie-index has 642 nodes (642 at peak, 1,038 added, 396 deleted).
% 0.46/0.66  ; Retrieved 873 generalization terms in 1,364 calls.
% 0.46/0.66  ; Retrieved 672 instance terms in 302 calls.
% 0.46/0.66  ; Retrieved 13,392 unifiable terms in 3,024 calls.
% 0.46/0.66  ; 
% 0.46/0.66  ; The agenda of rows to process has 32 entries:
% 0.46/0.66  ;     1 with value 5              15 with value 6               16 with value 7
% 0.46/0.66  ; The agenda of rows to give has 108 entries:
% 0.46/0.66  ;    43 with value (4 6)          57 with value (4 7)            8 with value (4 8)
% 0.46/0.66  Evaluation took:
% 0.46/0.66    0.185 seconds of real time
% 0.46/0.66    0.158918 seconds of user run time
% 0.46/0.66    0.026144 seconds of system run time
% 0.46/0.66    0 calls to %EVAL
% 0.46/0.66    0 page faults and
% 0.46/0.66    10,484,080 bytes consed.
% 0.46/0.66  :PROOF-FOUND
% 0.46/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:20:58
% 0.46/0.66  :PROOF-FOUND
% 0.46/0.66  * 
%------------------------------------------------------------------------------