TSTP Solution File: SYN266-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN266-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 11:58:50 EDT 2022

% Result   : Unsatisfiable 0.46s 0.63s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   21 (  13 unt;   0 nHn;  14 RR)
%            Number of literals    :   32 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   27 (  10 sgn)

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

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_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

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

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

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_155,axiom,
    ( p2(X,Y,Y)
    | ~ k1(Z)
    | ~ p2(e,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).

cnf(rule_176,axiom,
    ( p2(X,Y,X)
    | ~ m1(Y,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(rule_238,axiom,
    ( m3(X,X,X)
    | ~ p2(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_238) ).

cnf(rule_251,axiom,
    ( p3(X,Y,Y)
    | ~ m3(Y,Z,U)
    | ~ p2(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).

cnf(prove_this,negated_conjecture,
    ~ p3(b,e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

cnf(445,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(447,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,445]) ).

cnf(448,plain,
    m3(X,X,X),
    inference('REWRITE',[status(thm)],[rule_238,447]) ).

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

cnf(501,plain,
    ~ p2(b,e,e),
    inference('UR-RESOLVE',[status(thm)],[rule_251,prove_this,448]) ).

cnf(698,plain,
    p2(X,b,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_176,468]) ).

cnf(714,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_155,501,380]),698]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN266-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul 12 01:44:25 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45  * 
% 0.17/0.45  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:44:25
% 0.17/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-12T01:44:25
% 0.17/0.54  WARNING:
% 0.17/0.54     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.54  WARNING:
% 0.17/0.54     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.54  WARNING:
% 0.17/0.54     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  #||
% 0.46/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63  % SZS output start Refutation
% See solution above
% 0.46/0.63  ||#
% 0.46/0.63  
% 0.46/0.63  ; Summary of computation:
% 0.46/0.63  ;      1785 formulas have been input or derived (from 385 formulas).
% 0.46/0.63  ;       714 (40%) were retained.  Of these,
% 0.46/0.63  ;          365 (51%) were simplified or subsumed later,
% 0.46/0.63  ;          349 (49%) are still being kept.
% 0.46/0.63  ; 
% 0.46/0.63  ; Run time in seconds excluding printing time:
% 0.46/0.63  ;     0.062  35%   Read assertion file          (1 call)
% 0.46/0.63  ;     0.011   6%   Assert                       (369 calls)
% 0.46/0.63  ;     0.032  18%   Process new row              (1,475 calls)
% 0.46/0.63  ;     0.019  11%   Resolution                   (768 calls)
% 0.46/0.63  ;     0.002   1%   Paramodulation               (384 calls)
% 0.46/0.63  ;     0.005   3%   Condensing                   (356 calls)
% 0.46/0.63  ;     0.003   2%   Forward subsumption          (356 calls)
% 0.46/0.63  ;     0.004   2%   Backward subsumption         (342 calls)
% 0.46/0.63  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.46/0.63  ;     0.007   4%   Forward simplification       (1,409 calls)
% 0.46/0.63  ;     0.008   4%   Backward simplification      (667 calls)
% 0.46/0.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.46/0.63  ;     0.024  13%   Other
% 0.46/0.63  ;     0.178        Total
% 0.46/0.63  ;     0.179        Real time
% 0.46/0.63  ; 
% 0.46/0.63  ; Term-hash-array has 732 terms in all.
% 0.46/0.63  ; Feature-vector-row-index has 113 entries (273 at peak, 342 added, 229 deleted).
% 0.46/0.63  ; Feature-vector-row-index has 403 nodes (936 at peak, 1,188 added, 785 deleted).
% 0.46/0.63  ;  Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.46/0.63  ;  Retrieved 160 possibly backward subsumed rows in 342 calls.
% 0.46/0.63  ; Path-index has 487 entries (528 at peak, 839 added, 352 deleted).
% 0.46/0.63  ; Path-index has 464 nodes (464 at peak, 611 added, 147 deleted).
% 0.46/0.63  ; Trie-index has 487 entries (528 at peak, 839 added, 352 deleted).
% 0.46/0.63  ; Trie-index has 669 nodes (669 at peak, 1,067 added, 398 deleted).
% 0.46/0.63  ; Retrieved 1,011 generalization terms in 1,498 calls.
% 0.46/0.63  ; Retrieved 704 instance terms in 324 calls.
% 0.46/0.63  ; Retrieved 15,193 unifiable terms in 3,418 calls.
% 0.46/0.63  ; 
% 0.46/0.63  ; The agenda of rows to process has 1 entry:
% 0.46/0.63  ;     1 with value 7
% 0.46/0.63  ; The agenda of rows to give has 112 entries:
% 0.46/0.63  ;    34 with value (4 6)          70 with value (4 7)            8 with value (4 8)
% 0.46/0.63  Evaluation took:
% 0.46/0.63    0.179 seconds of real time
% 0.46/0.63    0.162743 seconds of user run time
% 0.46/0.63    0.016873 seconds of system run time
% 0.46/0.63    0 calls to %EVAL
% 0.46/0.63    0 page faults and
% 0.46/0.63    11,124,736 bytes consed.
% 0.46/0.63  :PROOF-FOUND
% 0.46/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:44:25
% 0.46/0.63  :PROOF-FOUND
% 0.46/0.63  * 
%------------------------------------------------------------------------------