TSTP Solution File: SYN205-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN205-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 11:58:26 EDT 2022

% Result   : Unsatisfiable 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   30 (  17 unt;   0 nHn;  21 RR)
%            Number of literals    :   53 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

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

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

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

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

cnf(rule_050,axiom,
    ( n1(X,Y,X)
    | ~ s0(b)
    | ~ l0(X)
    | ~ p0(b,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).

cnf(92,plain,
    ( n1(X,Y,X)
    | ~ l0(X) ),
    inference('REWRITE',[status(thm)],[rule_050,axiom_14,axiom_5]) ).

cnf(rule_054,axiom,
    ( n1(X,Y,Y)
    | ~ l0(Z)
    | ~ l1(Z,X)
    | ~ n1(X,Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).

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

cnf(rule_125,axiom,
    ( s1(X)
    | ~ p0(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_177,axiom,
    ( q2(X,Y,Y)
    | ~ k0(Y)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).

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

cnf(rule_182,axiom,
    ( q2(X,Y,X)
    | ~ p1(X,X,Z)
    | ~ n1(Y,X,Z)
    | ~ q2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).

cnf(rule_189,axiom,
    ( s2(X)
    | ~ q2(b,X,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(rule_273,axiom,
    ( s3(X,Y)
    | ~ q2(Z,X,Z)
    | ~ s2(X)
    | ~ m0(Z,U,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).

cnf(prove_this,negated_conjecture,
    ~ s3(a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(391,plain,
    s1(b),
    inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).

cnf(392,plain,
    ( s2(X)
    | ~ q2(b,X,b) ),
    inference('REWRITE',[status(thm)],[rule_189,391]) ).

cnf(396,plain,
    l1(a,a),
    inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_37]) ).

cnf(403,plain,
    n1(a,X,a),
    inference('HYPERRESOLVE',[status(thm)],[92,axiom_20]) ).

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

cnf(419,plain,
    ( q2(X,Y,Y)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[rule_177,418]) ).

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

cnf(423,plain,
    q2(X,b,b),
    inference('HYPERRESOLVE',[status(thm)],[419,axiom_32]) ).

cnf(506,plain,
    ~ s2(a),
    inference('UR-RESOLVE',[status(thm)],[rule_273,prove_this,420,axiom_19]) ).

cnf(569,plain,
    ~ q2(b,a,b),
    inference('UR-RESOLVE',[status(thm)],[392,506]) ).

cnf(614,plain,
    n1(a,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_054,403,axiom_20,396]) ).

cnf(780,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_182,569,418,423]),614]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN205-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 13:54:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T13:54:52
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-11T13:54:52
% 0.40/0.57  WARNING:
% 0.40/0.57     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.57  WARNING:
% 0.40/0.57     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.57  WARNING:
% 0.40/0.57     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.72  
% 0.55/0.72  
% 0.55/0.72  #||
% 0.55/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72  % SZS output start Refutation
% See solution above
% 0.55/0.72  ||#
% 0.55/0.72  
% 0.55/0.72  ; Summary of computation:
% 0.55/0.72  ;      2378 formulas have been input or derived (from 445 formulas).
% 0.55/0.72  ;       780 (33%) were retained.  Of these,
% 0.55/0.72  ;          376 (48%) were simplified or subsumed later,
% 0.55/0.72  ;          404 (52%) are still being kept.
% 0.55/0.72  ; 
% 0.55/0.72  ; Run time in seconds excluding printing time:
% 0.55/0.73  ;     0.063  27%   Read assertion file          (1 call)
% 0.55/0.73  ;     0.009   4%   Assert                       (369 calls)
% 0.55/0.73  ;     0.036  16%   Process new row              (1,851 calls)
% 0.55/0.73  ;     0.034  15%   Resolution                   (888 calls)
% 0.55/0.73  ;     0.004   2%   Paramodulation               (444 calls)
% 0.55/0.73  ;     0.005   2%   Condensing                   (358 calls)
% 0.55/0.73  ;     0.010   4%   Forward subsumption          (358 calls)
% 0.55/0.73  ;     0.013   6%   Backward subsumption         (344 calls)
% 0.55/0.73  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.55/0.73  ;     0.007   3%   Forward simplification       (1,785 calls)
% 0.55/0.73  ;     0.013   6%   Backward simplification      (733 calls)
% 0.55/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.73  ;     0.001   0%   Purity testing               (1 call)
% 0.55/0.73  ;     0.035  15%   Other
% 0.55/0.73  ;     0.230        Total
% 0.55/0.73  ;     0.245        Real time
% 0.55/0.73  ; 
% 0.55/0.73  ; Term-hash-array has 788 terms in all.
% 0.55/0.73  ; Feature-vector-row-index has 108 entries (273 at peak, 344 added, 236 deleted).
% 0.55/0.73  ; Feature-vector-row-index has 384 nodes (936 at peak, 1,193 added, 809 deleted).
% 0.55/0.73  ;  Retrieved 149 possibly forward subsuming rows in 358 calls.
% 0.55/0.73  ;  Retrieved 160 possibly backward subsumed rows in 344 calls.
% 0.55/0.73  ; Path-index has 536 entries (536 at peak, 903 added, 367 deleted).
% 0.55/0.73  ; Path-index has 477 nodes (479 at peak, 632 added, 155 deleted).
% 0.55/0.73  ; Trie-index has 536 entries (536 at peak, 903 added, 367 deleted).
% 0.55/0.73  ; Trie-index has 745 nodes (745 at peak, 1,159 added, 414 deleted).
% 0.55/0.73  ; Retrieved 1,390 generalization terms in 1,873 calls.
% 0.55/0.73  ; Retrieved 787 instance terms in 388 calls.
% 0.55/0.73  ; Retrieved 19,533 unifiable terms in 4,631 calls.
% 0.55/0.73  ; 
% 0.55/0.73  ; The agenda of rows to give has 115 entries:
% 0.55/0.73  ;     1 with value (4 6)          69 with value (4 7)           45 with value (4 8)
% 0.55/0.73  Evaluation took:
% 0.55/0.73    0.245 seconds of real time
% 0.55/0.73    0.2221 seconds of user run time
% 0.55/0.73    0.019146 seconds of system run time
% 0.55/0.73    [Run times include 0.008 seconds GC run time.]
% 0.55/0.73    0 calls to %EVAL
% 0.55/0.73    0 page faults and
% 0.55/0.73    12,573,688 bytes consed.
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T13:54:52
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  * 
%------------------------------------------------------------------------------