TSTP Solution File: SYN272-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN272-1 : 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 11:58:53 EDT 2022

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   27 (   0 equ;  12 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    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   22 (   7 sgn)

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

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

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

cnf(rule_005,axiom,
    ( m1(X,Y,X)
    | ~ m0(Y,Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).

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(d,e,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(390,plain,
    k1(d),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_34]) ).

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

cnf(438,plain,
    m1(X,d,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_005,axiom_19]) ).

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

cnf(635,plain,
    k2(X,d),
    inference('HYPERRESOLVE',[status(thm)],[rule_127,438,390,430]) ).

cnf(671,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_194,459]),635]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN272-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n009.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 00:26:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-12T00:26:52
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-12T00:26:52
% 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.
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  #||
% 0.46/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64  % SZS output start Refutation
% See solution above
% 0.46/0.64  ||#
% 0.46/0.64  
% 0.46/0.64  ; Summary of computation:
% 0.46/0.64  ;      1536 formulas have been input or derived (from 354 formulas).
% 0.46/0.64  ;       671 (44%) were retained.  Of these,
% 0.46/0.64  ;          351 (52%) were simplified or subsumed later,
% 0.46/0.64  ;          320 (48%) are still being kept.
% 0.46/0.64  ; 
% 0.46/0.64  ; Run time in seconds excluding printing time:
% 0.46/0.64  ;     0.062  35%   Read assertion file          (1 call)
% 0.46/0.64  ;     0.009   5%   Assert                       (369 calls)
% 0.46/0.64  ;     0.029  17%   Process new row              (1,295 calls)
% 0.46/0.64  ;     0.014   8%   Resolution                   (706 calls)
% 0.46/0.64  ;     0.002   1%   Paramodulation               (353 calls)
% 0.46/0.64  ;     0.003   2%   Condensing                   (355 calls)
% 0.46/0.64  ;     0.005   3%   Forward subsumption          (355 calls)
% 0.46/0.64  ;     0.009   5%   Backward subsumption         (341 calls)
% 0.46/0.64  ;     0.002   1%   Clause clause subsumption    (170 calls)
% 0.46/0.64  ;     0.004   2%   Forward simplification       (1,230 calls)
% 0.46/0.64  ;     0.009   5%   Backward simplification      (624 calls)
% 0.46/0.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.64  ;     0.002   1%   Purity testing               (1 call)
% 0.46/0.64  ;     0.025  14%   Other
% 0.46/0.64  ;     0.175        Total
% 0.46/0.64  ;     0.177        Real time
% 0.46/0.64  ; 
% 0.46/0.64  ; Term-hash-array has 703 terms in all.
% 0.46/0.64  ; Feature-vector-row-index has 123 entries (273 at peak, 341 added, 218 deleted).
% 0.46/0.64  ; Feature-vector-row-index has 438 nodes (936 at peak, 1,184 added, 746 deleted).
% 0.46/0.64  ;  Retrieved 149 possibly forward subsuming rows in 355 calls.
% 0.46/0.64  ;  Retrieved 160 possibly backward subsumed rows in 341 calls.
% 0.46/0.64  ; Path-index has 464 entries (528 at peak, 804 added, 340 deleted).
% 0.46/0.64  ; Path-index has 457 nodes (465 at peak, 597 added, 140 deleted).
% 0.46/0.64  ; Trie-index has 464 entries (528 at peak, 804 added, 340 deleted).
% 0.46/0.64  ; Trie-index has 635 nodes (640 at peak, 1,022 added, 387 deleted).
% 0.46/0.64  ; Retrieved 842 generalization terms in 1,327 calls.
% 0.46/0.64  ; Retrieved 649 instance terms in 282 calls.
% 0.46/0.64  ; Retrieved 12,733 unifiable terms in 2,833 calls.
% 0.46/0.64  ; 
% 0.46/0.64  ; The agenda of rows to process has 3 entries:
% 0.46/0.64  ;     2 with value 7               1 with value 8
% 0.46/0.64  ; The agenda of rows to give has 102 entries:
% 0.46/0.64  ;    45 with value (4 6)          54 with value (4 7)            3 with value (4 8)
% 0.46/0.64  Evaluation took:
% 0.46/0.64    0.177 seconds of real time
% 0.46/0.64    0.154855 seconds of user run time
% 0.46/0.64    0.022184 seconds of system run time
% 0.46/0.64    0 calls to %EVAL
% 0.46/0.64    0 page faults and
% 0.46/0.64    10,465,992 bytes consed.
% 0.46/0.64  :PROOF-FOUND
% 0.46/0.64  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T00:26:52
% 0.46/0.64  :PROOF-FOUND
% 0.46/0.64  * 
%------------------------------------------------------------------------------