TSTP Solution File: SET949+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET949+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 : Tue Jul 19 05:13:38 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    6 (   3 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( X != cartesian_product2(Y,Z)
    | ~ in(U,X)
    | U = ordered_pair('SKOLEMAAAV1'(Y,Z,U),'SKOLEMAAAV2'(Y,Z,U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).

cnf(14,negated_conjecture,
    in('SKOLEMAAAV8',cartesian_product2('SKOLEMAAAV9','SKOLEMAAAV10')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_zfmisc_1) ).

cnf(15,negated_conjecture,
    ordered_pair(X,Y) != 'SKOLEMAAAV8',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_zfmisc_1) ).

cnf(25,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[4,14,15,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET949+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n016.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 : Sun Jul 10 13:40:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:40:41
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T13:40:41
% 0.20/0.51  
% 0.20/0.51  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.53  ; Declaring unordered_pair to be commutative.
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;        36 formulas have been input or derived (from 13 formulas).
% 0.20/0.53  ;        25 (69%) were retained.  Of these,
% 0.20/0.53  ;           25 (100%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.002   6%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.001   3%   Assert                       (8 calls)
% 0.20/0.53  ;     0.002   6%   Process new row              (27 calls)
% 0.20/0.53  ;     0.000   0%   Resolution                   (24 calls)
% 0.20/0.53  ;     0.001   3%   Paramodulation               (12 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (2 calls)
% 0.20/0.53  ;     0.001   3%   Condensing                   (13 calls)
% 0.20/0.53  ;     0.002   6%   Forward subsumption          (13 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.53  ;     0.001   3%   Forward simplification       (27 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (25 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (43 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.023  70%   Other
% 0.20/0.53  ;     0.033        Total
% 0.20/0.53  ;     0.034        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 70 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 55 nodes (55 at peak, 55 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 2 possibly forward subsuming rows in 13 calls.
% 0.20/0.53  ;  Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.20/0.53  ; Path-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.20/0.53  ; Path-index has 392 nodes (392 at peak, 392 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 297 nodes (297 at peak, 297 added, 0 deleted).
% 0.20/0.53  ; Retrieved 0 generalization terms in 23 calls.
% 0.20/0.53  ; Retrieved 11 instance terms in 11 calls.
% 0.20/0.53  ; Retrieved 286 unifiable terms in 78 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 5 entries:
% 0.20/0.53  ;     1 with value 8               1 with value 15               2 with value 53
% 0.20/0.53  ;     1 with value 10
% 0.20/0.53  ; The agenda of input rows to give has 3 entries:
% 0.20/0.53  ;     1 with value 26              1 with value 32               1 with value 33
% 0.20/0.53  ; The agenda of rows to give has 9 entries:
% 0.20/0.53  ;     1 with value (4 8)           1 with value (4 19)           4 with value (4 37)
% 0.20/0.53  ;     2 with value (4 9)           1 with value (4 20)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.035 seconds of real time
% 0.20/0.53    0.028566 seconds of user run time
% 0.20/0.53    0.006074 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    1,773,000 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:40:41
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------