TSTP Solution File: SWV408+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV408+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 : Wed Jul 20 21:33:12 EDT 2022

% Result   : Theorem 0.42s 0.61s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   7 unt;   3 nHn;  12 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( less_than(X,Y)
    | less_than(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).

cnf(6,axiom,
    ( strictly_less_than(X,Y)
    | ~ less_than(X,Y)
    | less_than(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

cnf(51,axiom,
    ( ~ contains_slb(X,Y)
    | pair_in_list(X,Y,'SKOLEMAAAV1'(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l45_li4647) ).

cnf(52,axiom,
    ( ~ pair_in_list(X,Y,Z)
    | ~ strictly_less_than(Z,U)
    | pair_in_list(update_slb(X,U),Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_li3839) ).

cnf(53,axiom,
    ( ~ pair_in_list(X,Y,Z)
    | ~ less_than(U,Z)
    | pair_in_list(update_slb(X,U),Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_li3637) ).

cnf(54,negated_conjecture,
    contains_slb('SKOLEMAAAV3','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).

cnf(56,negated_conjecture,
    ~ pair_in_list(update_slb('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2')),'SKOLEMAAAV5',findmin_pqp_res('SKOLEMAAAV2')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).

cnf(57,negated_conjecture,
    ( ~ pair_in_list(update_slb('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2')),'SKOLEMAAAV5',X)
    | ~ less_than(findmin_pqp_res('SKOLEMAAAV2'),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).

cnf(68,plain,
    ( less_than(X,Y)
    | strictly_less_than(Y,X) ),
    inference('HYPERRESOLVE',[status(thm)],[6,2]) ).

cnf(71,plain,
    pair_in_list('SKOLEMAAAV3','SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[51,54]) ).

cnf(176,plain,
    ~ strictly_less_than('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5'),findmin_pqp_res('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[52,71,56]) ).

cnf(203,plain,
    less_than(findmin_pqp_res('SKOLEMAAAV2'),'SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[176,68]) ).

cnf(263,plain,
    pair_in_list(update_slb('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2')),'SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[53,203,71]) ).

cnf(264,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[57,203]),263]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV408+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.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 : Wed Jun 15 16:54:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T16:54:22
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-15T16:54:22
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  #||
% 0.42/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61  % SZS output start Refutation
% See solution above
% 0.42/0.61  ||#
% 0.42/0.61  
% 0.42/0.61  ; Summary of computation:
% 0.42/0.61  ;      1527 formulas have been input or derived (from 93 formulas).
% 0.42/0.61  ;       264 (17%) were retained.  Of these,
% 0.42/0.61  ;            3 ( 1%) were simplified or subsumed later,
% 0.42/0.61  ;          261 (99%) are still being kept.
% 0.42/0.61  ; 
% 0.42/0.61  ; Run time in seconds excluding printing time:
% 0.42/0.61  ;     0.012   8%   Read assertion file          (1 call)
% 0.42/0.61  ;     0.002   1%   Assert                       (45 calls)
% 0.42/0.61  ;     0.024  17%   Process new row              (1,457 calls)
% 0.42/0.61  ;     0.016  11%   Resolution                   (184 calls)
% 0.42/0.61  ;     0.003   2%   Paramodulation               (92 calls)
% 0.42/0.61  ;     0.000   0%   Factoring                    (7 calls)
% 0.42/0.61  ;     0.003   2%   Condensing                   (207 calls)
% 0.42/0.61  ;     0.009   6%   Forward subsumption          (207 calls)
% 0.42/0.61  ;     0.004   3%   Backward subsumption         (111 calls)
% 0.42/0.61  ;     0.002   1%   Clause clause subsumption    (224 calls)
% 0.42/0.61  ;     0.034  24%   Forward simplification       (1,454 calls)
% 0.42/0.61  ;     0.001   1%   Backward simplification      (264 calls)
% 0.42/0.61  ;     0.004   3%   Ordering                     (660 calls)
% 0.42/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.61  ;     0.029  20%   Other
% 0.42/0.61  ;     0.143        Total
% 0.42/0.61  ;     0.144        Real time
% 0.42/0.61  ; 
% 0.42/0.61  ; Term-hash-array has 715 terms in all.
% 0.42/0.61  ; Feature-vector-row-index has 109 entries (109 at peak, 111 added, 2 deleted).
% 0.42/0.61  ; Feature-vector-row-index has 936 nodes (936 at peak, 953 added, 17 deleted).
% 0.42/0.61  ;  Retrieved 277 possibly forward subsuming rows in 207 calls.
% 0.42/0.61  ;  Retrieved 24 possibly backward subsumed rows in 111 calls.
% 0.42/0.61  ; Path-index has 715 entries (715 at peak, 722 added, 7 deleted).
% 0.42/0.61  ; Path-index has 1,896 nodes (1,896 at peak, 1,898 added, 2 deleted).
% 0.42/0.61  ; Trie-index has 715 entries (715 at peak, 722 added, 7 deleted).
% 0.42/0.61  ; Trie-index has 2,322 nodes (2,322 at peak, 2,329 added, 7 deleted).
% 0.42/0.61  ; Retrieved 4,608 generalization terms in 7,707 calls.
% 0.42/0.61  ; Retrieved 180 instance terms in 156 calls.
% 0.42/0.61  ; Retrieved 4,575 unifiable terms in 764 calls.
% 0.42/0.61  ; 
% 0.42/0.61  ; The agenda of rows to process has 5 entries:
% 0.42/0.61  ;     3 with value 17              1 with value 21               1 with value 30
% 0.42/0.61  ; The agenda of rows to give has 169 entries:
% 0.42/0.61  ;    12 with value (4 12)          5 with value (4 23)           2 with value (4 34)
% 0.42/0.61  ;    13 with value (4 13)          3 with value (4 24)           1 with value (4 35)
% 0.42/0.61  ;    28 with value (4 14)          2 with value (4 25)           1 with value (4 38)
% 0.42/0.61  ;    22 with value (4 15)          1 with value (4 26)           1 with value (4 40)
% 0.42/0.61  ;     5 with value (4 16)          5 with value (4 27)           1 with value (4 41)
% 0.42/0.61  ;     5 with value (4 17)          7 with value (4 28)           2 with value (4 43)
% 0.42/0.61  ;     3 with value (4 18)          2 with value (4 29)           1 with value (4 45)
% 0.42/0.61  ;     2 with value (4 19)          7 with value (4 30)           1 with value (4 47)
% 0.42/0.61  ;     9 with value (4 20)          3 with value (4 31)           2 with value (4 48)
% 0.42/0.61  ;     5 with value (4 21)          3 with value (4 32)           5 with value (4 49)
% 0.42/0.61  ;     4 with value (4 22)          5 with value (4 33)           1 with value (4 54)
% 0.42/0.61  Evaluation took:
% 0.42/0.61    0.144 seconds of real time
% 0.42/0.61    0.127132 seconds of user run time
% 0.42/0.61    0.017347 seconds of system run time
% 0.42/0.61    0 calls to %EVAL
% 0.42/0.61    0 page faults and
% 0.42/0.61    9,377,656 bytes consed.
% 0.42/0.61  :PROOF-FOUND
% 0.42/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T16:54:22
% 0.42/0.61  :PROOF-FOUND
% 0.42/0.61  * 
%------------------------------------------------------------------------------