TSTP Solution File: SYN273-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN273-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 11:58:53 EDT 2022

% Result   : Unsatisfiable 0.47s 0.67s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   19 (  12 unt;   0 nHn;  16 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (   5 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(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

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

cnf(rule_021,axiom,
    ( m1(X,Y,X)
    | ~ l0(X)
    | ~ k0(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).

cnf(rule_107,axiom,
    ( q1(e,X,X)
    | ~ m0(X,d,X)
    | ~ m0(e,d,X) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).

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

cnf(rule_194,axiom,
    ( k3(X,X,Y)
    | ~ k2(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_194) ).

cnf(rule_287,axiom,
    ( p4(X,Y,X)
    | ~ k3(X,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).

cnf(prove_this,negated_conjecture,
    ~ p4(e,c,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(388,plain,
    k1(e),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_3]) ).

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

cnf(459,plain,
    ~ k3(e,e,c),
    inference('UR-RESOLVE',[status(thm)],[rule_287,prove_this]) ).

cnf(462,plain,
    m1(c,e,c),
    inference('HYPERRESOLVE',[status(thm)],[rule_021,axiom_24,axiom_28]) ).

cnf(671,plain,
    ~ k2(c,e),
    inference('UR-RESOLVE',[status(thm)],[rule_194,459]) ).

cnf(693,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_127,462,388,430]),671]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN273-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n012.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 18:27:43 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T18:27:43
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T18:27:43
% 0.19/0.56  WARNING:
% 0.19/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56  WARNING:
% 0.19/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56  WARNING:
% 0.19/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  
% 0.47/0.67  
% 0.47/0.67  #||
% 0.47/0.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.67  % SZS output start Refutation
% See solution above
% 0.47/0.67  ||#
% 0.47/0.67  
% 0.47/0.67  ; Summary of computation:
% 0.47/0.67  ;      1582 formulas have been input or derived (from 367 formulas).
% 0.47/0.67  ;       693 (44%) were retained.  Of these,
% 0.47/0.67  ;          362 (52%) were simplified or subsumed later,
% 0.47/0.67  ;          331 (48%) are still being kept.
% 0.47/0.67  ; 
% 0.47/0.67  ; Run time in seconds excluding printing time:
% 0.47/0.67  ;     0.057  31%   Read assertion file          (1 call)
% 0.47/0.67  ;     0.010   5%   Assert                       (369 calls)
% 0.47/0.67  ;     0.038  21%   Process new row              (1,332 calls)
% 0.47/0.67  ;     0.017   9%   Resolution                   (732 calls)
% 0.47/0.67  ;     0.000   0%   Paramodulation               (366 calls)
% 0.47/0.67  ;     0.002   1%   Condensing                   (356 calls)
% 0.47/0.67  ;     0.003   2%   Forward subsumption          (356 calls)
% 0.47/0.67  ;     0.007   4%   Backward subsumption         (342 calls)
% 0.47/0.67  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.47/0.67  ;     0.010   5%   Forward simplification       (1,266 calls)
% 0.47/0.67  ;     0.013   7%   Backward simplification      (646 calls)
% 0.47/0.67  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.47/0.67  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.67  ;     0.023  13%   Other
% 0.47/0.67  ;     0.182        Total
% 0.47/0.67  ;     0.183        Real time
% 0.47/0.67  ; 
% 0.47/0.67  ; Term-hash-array has 716 terms in all.
% 0.47/0.67  ; Feature-vector-row-index has 114 entries (273 at peak, 342 added, 228 deleted).
% 0.47/0.67  ; Feature-vector-row-index has 406 nodes (936 at peak, 1,188 added, 782 deleted).
% 0.47/0.67  ;  Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.47/0.67  ;  Retrieved 160 possibly backward subsumed rows in 342 calls.
% 0.47/0.67  ; Path-index has 468 entries (528 at peak, 820 added, 352 deleted).
% 0.47/0.67  ; Path-index has 462 nodes (465 at peak, 610 added, 148 deleted).
% 0.47/0.67  ; Trie-index has 468 entries (528 at peak, 820 added, 352 deleted).
% 0.47/0.67  ; Trie-index has 644 nodes (644 at peak, 1,043 added, 399 deleted).
% 0.47/0.67  ; Retrieved 864 generalization terms in 1,358 calls.
% 0.47/0.67  ; Retrieved 675 instance terms in 303 calls.
% 0.47/0.67  ; Retrieved 13,034 unifiable terms in 2,940 calls.
% 0.47/0.67  ; 
% 0.47/0.67  ; The agenda of rows to process has 4 entries:
% 0.47/0.67  ;     4 with value 7
% 0.47/0.67  ; The agenda of rows to give has 111 entries:
% 0.47/0.67  ;    45 with value (4 6)          57 with value (4 7)            9 with value (4 8)
% 0.47/0.67  Evaluation took:
% 0.47/0.67    0.183 seconds of real time
% 0.47/0.67    0.164627 seconds of user run time
% 0.47/0.67    0.018673 seconds of system run time
% 0.47/0.67    0 calls to %EVAL
% 0.47/0.67    0 page faults and
% 0.47/0.67    10,675,336 bytes consed.
% 0.47/0.67  :PROOF-FOUND
% 0.47/0.67  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T18:27:43
% 0.47/0.67  :PROOF-FOUND
% 0.47/0.67  * 
%------------------------------------------------------------------------------