TSTP Solution File: GEO502+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO502+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : Sat Jul 16 06:16:28 EDT 2022

% Result   : Theorem 0.80s 0.97s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-7 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   18 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(119,axiom,
    ( ~ s_kf(X,Y,Z,U,V,W,X1)
    | s_t(Y,U,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22b) ).

cnf(120,negated_conjecture,
    s_t('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(121,negated_conjecture,
    s_t('SKOLEMAAAV4','SKOLEMAAAV2','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(122,negated_conjecture,
    s_e('SKOLEMAAAV2','SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(123,negated_conjecture,
    s_e('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV2','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(124,negated_conjecture,
    s_m('SKOLEMAAAV1','SKOLEMAAAV6','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(125,negated_conjecture,
    s_m('SKOLEMAAAV3','SKOLEMAAAV7','SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(126,negated_conjecture,
    ~ s_t('SKOLEMAAAV6','SKOLEMAAAV2','SKOLEMAAAV7'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).

cnf(172,axiom,
    ( ~ s_t(X,Y,Z)
    | ~ s_t(U,Y,V)
    | ~ s_e(Y,X,Y,U)
    | ~ s_e(Y,Z,Y,V)
    | ~ s_m(X,W,U)
    | ~ s_m(Z,X1,V)
    | s_kf(X,W,U,Y,V,X1,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_23) ).

cnf(313,plain,
    ~ s_kf(X,'SKOLEMAAAV6',Y,'SKOLEMAAAV2',Z,'SKOLEMAAAV7',U),
    inference('UR-RESOLVE',[status(thm)],[119,126]) ).

cnf(965,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[172,120,121,122,123,124,125]),313]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO502+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 03:42:53 EDT 2022
% 0.13/0.34  % 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)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:42:53
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-18T03:42:53
% 0.18/0.52  
% 0.18/0.52  ; Recognized commutativity assertion (OR (NOT (|s_col| ?X ?Y ?Z)) (|s_col| ?Y ?X ?Z)).
% 0.18/0.53  ; Recognized relation functionality assertion (OR (NOT (|s_m| ?X ?Y ?Z)) (NOT (|s_m| ?X ?Y ?U)) (= ?Z ?U)).
% 0.80/0.97  ; Declaring s_col to be commutative.
% 0.80/0.97  
% 0.80/0.97  #||
% 0.80/0.97  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.97  % SZS output start Refutation
% See solution above
% 0.80/0.97  ||#
% 0.80/0.97  
% 0.80/0.97  ; Summary of computation:
% 0.80/0.97  ;      4060 formulas have been input or derived (from 166 formulas).
% 0.80/0.97  ;       965 (24%) were retained.  Of these,
% 0.80/0.97  ;           24 ( 2%) were simplified or subsumed later,
% 0.80/0.97  ;          941 (98%) are still being kept.
% 0.80/0.97  ; 
% 0.80/0.97  ; Run time in seconds excluding printing time:
% 0.80/0.97  ;     0.043   9%   Read assertion file          (1 call)
% 0.80/0.97  ;     0.007   1%   Assert                       (126 calls)
% 0.80/0.97  ;     0.074  15%   Process new row              (3,426 calls)
% 0.80/0.97  ;     0.249  49%   Resolution                   (330 calls)
% 0.80/0.97  ;     0.000   0%   Paramodulation               (165 calls)
% 0.80/0.97  ;     0.000   0%   Factoring                    (5 calls)
% 0.80/0.97  ;     0.016   3%   Condensing                   (393 calls)
% 0.80/0.97  ;     0.012   2%   Forward subsumption          (393 calls)
% 0.80/0.97  ;     0.004   1%   Backward subsumption         (292 calls)
% 0.80/0.97  ;     0.019   4%   Clause clause subsumption    (1,373 calls)
% 0.80/0.97  ;     0.035   7%   Forward simplification       (3,426 calls)
% 0.80/0.97  ;     0.013   3%   Backward simplification      (963 calls)
% 0.80/0.97  ;     0.000   0%   Ordering                     (777 calls)
% 0.80/0.97  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.80/0.97  ;     0.001   0%   Purity testing               (1 call)
% 0.80/0.97  ;     0.031   6%   Other
% 0.80/0.97  ;     0.504        Total
% 0.80/0.97  ;     0.506        Real time
% 0.80/0.97  ; 
% 0.80/0.97  ; Term-hash-array has 1,586 terms in all.
% 0.80/0.97  ; Feature-vector-row-index has 283 entries (283 at peak, 292 added, 9 deleted).
% 0.80/0.97  ; Feature-vector-row-index has 863 nodes (863 at peak, 901 added, 38 deleted).
% 0.80/0.97  ;  Retrieved 1,569 possibly forward subsuming rows in 393 calls.
% 0.80/0.97  ;  Retrieved 817 possibly backward subsumed rows in 292 calls.
% 0.80/0.97  ; Path-index has 1,568 entries (1,568 at peak, 1,600 added, 32 deleted).
% 0.80/0.97  ; Path-index has 2,852 nodes (2,852 at peak, 2,891 added, 39 deleted).
% 0.80/0.97  ; Trie-index has 1,568 entries (1,568 at peak, 1,600 added, 32 deleted).
% 0.80/0.97  ; Trie-index has 6,168 nodes (6,168 at peak, 6,235 added, 67 deleted).
% 0.80/0.97  ; Retrieved 12,512 generalization terms in 7,041 calls.
% 0.80/0.97  ; Retrieved 2,798 instance terms in 670 calls.
% 0.80/0.97  ; Retrieved 422,513 unifiable terms in 15,023 calls.
% 0.80/0.97  ; 
% 0.80/0.97  ; The agenda of input rows to give has 4 entries:
% 0.80/0.97  ;     1 with value 42              3 with value 44
% 0.80/0.97  ; The agenda of rows to give has 771 entries:
% 0.80/0.97  ;    50 with value (4 6)          17 with value (4 22)           4 with value (4 38)
% 0.80/0.97  ;    39 with value (4 7)          10 with value (4 23)           2 with value (4 39)
% 0.80/0.97  ;     9 with value (4 8)          20 with value (4 24)           1 with value (4 40)
% 0.80/0.97  ;    39 with value (4 9)          18 with value (4 25)           1 with value (4 41)
% 0.80/0.97  ;    20 with value (4 10)         21 with value (4 26)           3 with value (4 43)
% 0.80/0.97  ;    55 with value (4 11)          4 with value (4 27)           2 with value (4 48)
% 0.80/0.97  ;    78 with value (4 12)          4 with value (4 28)           1 with value (4 51)
% 0.80/0.97  ;    89 with value (4 13)         10 with value (4 29)           7 with value (4 52)
% 0.80/0.97  ;    18 with value (4 14)          8 with value (4 30)           7 with value (4 56)
% 0.80/0.97  ;    24 with value (4 15)          1 with value (4 31)           2 with value (4 58)
% 0.80/0.97  ;    54 with value (4 16)          7 with value (4 32)           2 with value (4 60)
% 0.80/0.97  ;    18 with value (4 17)          4 with value (4 33)           1 with value (4 62)
% 0.80/0.97  ;    38 with value (4 18)          1 with value (4 34)           3 with value (4 69)
% 0.80/0.97  ;    31 with value (4 19)          1 with value (4 35)           1 with value (4 73)
% 0.80/0.97  ;    24 with value (4 20)          5 with value (4 36)           1 with value (4 91)
% 0.80/0.97  ;    11 with value (4 21)          3 with value (4 37)           2 with value (4 99)
% 0.80/0.97  Evaluation took:
% 0.80/0.97    0.506 seconds of real time
% 0.80/0.97    0.481144 seconds of user run time
% 0.80/0.97    0.024751 seconds of system run time
% 0.80/0.97    [Run times include 0.015 seconds GC run time.]
% 0.80/0.97    0 calls to %EVAL
% 0.80/0.97    0 page faults and
% 0.80/0.97    30,185,888 bytes consed.
% 0.80/0.97  :PROOF-FOUND
% 0.80/0.97  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:42:54
% 0.80/0.97  :PROOF-FOUND
% 0.80/0.97  * 
%------------------------------------------------------------------------------