TSTP Solution File: SEU317+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU317+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:21:14 EDT 2022

% Result   : Theorem 1.17s 1.33s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  10 unt;   2 nHn;  15 RR)
%            Number of literals    :   29 (   0 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(26,axiom,
    ( ~ subset(X,Y)
    | ~ in(Z,X)
    | in(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(27,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAU1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(28,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAU1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(52,axiom,
    ( ~ element(X,powerset(Y))
    | subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

cnf(57,axiom,
    ( ~ top_str(X)
    | ~ element(Y,powerset(the_carrier(X)))
    | ~ in(Z,the_carrier(X))
    | in(Z,topstr_closure(X,Y))
    | subset(Y,'SKOLEMAAAU8'(X,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_pre_topc) ).

cnf(58,axiom,
    ( ~ top_str(X)
    | ~ element(Y,powerset(the_carrier(X)))
    | ~ in(Z,the_carrier(X))
    | in(Z,topstr_closure(X,Y))
    | ~ in(Z,'SKOLEMAAAU8'(X,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_pre_topc) ).

cnf(59,negated_conjecture,
    top_str('SKOLEMAAAU9'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).

cnf(60,negated_conjecture,
    element('SKOLEMAAAU10',powerset(the_carrier('SKOLEMAAAU9'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).

cnf(61,negated_conjecture,
    ~ subset('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).

cnf(80,plain,
    subset('SKOLEMAAAU10',the_carrier('SKOLEMAAAU9')),
    inference('HYPERRESOLVE',[status(thm)],[52,60]) ).

cnf(85,plain,
    in('SKOLEMAAAU1'('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')),'SKOLEMAAAU10'),
    inference('HYPERRESOLVE',[status(thm)],[61,27]) ).

cnf(87,plain,
    ~ in('SKOLEMAAAU1'('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')),topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')),
    inference('UR-RESOLVE',[status(thm)],[28,61]) ).

cnf(292,plain,
    in('SKOLEMAAAU1'('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')),the_carrier('SKOLEMAAAU9')),
    inference('HYPERRESOLVE',[status(thm)],[26,85,80]) ).

cnf(709,plain,
    subset('SKOLEMAAAU10','SKOLEMAAAU8'('SKOLEMAAAU9','SKOLEMAAAU10','SKOLEMAAAU1'('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')))),
    inference('UR-RESOLVE',[status(thm)],[57,292,59,60,87]) ).

cnf(712,plain,
    ~ in('SKOLEMAAAU1'('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')),'SKOLEMAAAU8'('SKOLEMAAAU9','SKOLEMAAAU10','SKOLEMAAAU1'('SKOLEMAAAU10',topstr_closure('SKOLEMAAAU9','SKOLEMAAAU10')))),
    inference('UR-RESOLVE',[status(thm)],[58,292,59,60,87]) ).

cnf(2968,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,709,85]),712]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU317+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.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 : Sat Jun 18 19:13:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-18T19:13:47
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T19:13:47
% 0.19/0.48  WARNING:
% 0.19/0.48     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |one_sorted_str| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.17/1.33  
% 1.17/1.33  
% 1.17/1.33  #||
% 1.17/1.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.17/1.33  % SZS output start Refutation
% See solution above
% 1.17/1.33  ||#
% 1.17/1.33  
% 1.17/1.33  ; Summary of computation:
% 1.17/1.33  ;      9426 formulas have been input or derived (from 624 formulas).
% 1.17/1.33  ;      2968 (31%) were retained.  Of these,
% 1.17/1.33  ;           91 ( 3%) were simplified or subsumed later,
% 1.17/1.33  ;         2877 (97%) are still being kept.
% 1.17/1.33  ; 
% 1.17/1.33  ; Run time in seconds excluding printing time:
% 1.17/1.33  ;     0.009   1%   Read assertion file          (1 call)
% 1.17/1.33  ;     0.002   0%   Assert                       (43 calls)
% 1.17/1.33  ;     0.215  25%   Process new row              (8,720 calls)
% 1.17/1.33  ;     0.284  33%   Resolution                   (1,246 calls)
% 1.17/1.33  ;     0.004   0%   Paramodulation               (623 calls)
% 1.17/1.33  ;     0.000   0%   Factoring                    (14 calls)
% 1.17/1.33  ;     0.006   1%   Condensing                   (1,625 calls)
% 1.17/1.33  ;     0.148  17%   Forward subsumption          (1,625 calls)
% 1.17/1.33  ;     0.035   4%   Backward subsumption         (1,133 calls)
% 1.17/1.33  ;     0.004   0%   Clause clause subsumption    (2,375 calls)
% 1.17/1.33  ;     0.078   9%   Forward simplification       (8,646 calls)
% 1.17/1.33  ;     0.013   1%   Backward simplification      (2,968 calls)
% 1.17/1.33  ;     0.004   0%   Ordering                     (2,176 calls)
% 1.17/1.33  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.17/1.33  ;     0.001   0%   Purity testing               (1 call)
% 1.17/1.33  ;     0.065   7%   Other
% 1.17/1.33  ;     0.868        Total
% 1.17/1.33  ;     0.870        Real time
% 1.17/1.33  ; 
% 1.17/1.33  ; Term-hash-array has 4,386 terms in all.
% 1.17/1.33  ; Feature-vector-row-index has 1,111 entries (1,111 at peak, 1,133 added, 22 deleted).
% 1.17/1.33  ; Feature-vector-row-index has 13,754 nodes (13,754 at peak, 14,002 added, 248 deleted).
% 1.17/1.33  ;  Retrieved 2,405 possibly forward subsuming rows in 1,625 calls.
% 1.17/1.33  ;  Retrieved 188 possibly backward subsumed rows in 1,133 calls.
% 1.17/1.33  ; Path-index has 4,303 entries (4,303 at peak, 4,422 added, 119 deleted).
% 1.17/1.33  ; Path-index has 5,460 nodes (5,460 at peak, 5,585 added, 125 deleted).
% 1.17/1.33  ; Trie-index has 4,303 entries (4,303 at peak, 4,422 added, 119 deleted).
% 1.17/1.33  ; Trie-index has 13,438 nodes (13,438 at peak, 13,760 added, 322 deleted).
% 1.17/1.33  ; Retrieved 8,260 generalization terms in 15,755 calls.
% 1.17/1.33  ; Retrieved 1,872 instance terms in 1,834 calls.
% 1.17/1.33  ; Retrieved 305,920 unifiable terms in 31,204 calls.
% 1.17/1.33  ; 
% 1.17/1.33  ; The agenda of rows to process has 8 entries:
% 1.17/1.33  ;     2 with value 22              1 with value 25               1 with value 27
% 1.17/1.33  ;     1 with value 24              2 with value 26               1 with value 34
% 1.17/1.33  ; The agenda of rows to give has 2274 entries:
% 1.17/1.33  ;   113 with value (4 17)         40 with value (4 31)          27 with value (4 45)
% 1.17/1.33  ;   193 with value (4 18)         33 with value (4 32)          32 with value (4 46)
% 1.17/1.33  ;   194 with value (4 19)         46 with value (4 33)          18 with value (4 47)
% 1.17/1.33  ;   172 with value (4 20)         35 with value (4 34)          26 with value (4 48)
% 1.17/1.33  ;   219 with value (4 21)         46 with value (4 35)          19 with value (4 49)
% 1.17/1.33  ;   188 with value (4 22)         36 with value (4 36)          14 with value (4 50)
% 1.17/1.33  ;   171 with value (4 23)         28 with value (4 37)          15 with value (4 51)
% 1.17/1.33  ;    97 with value (4 24)         30 with value (4 38)           2 with value (4 52)
% 1.17/1.33  ;    35 with value (4 25)         49 with value (4 39)          14 with value (4 53)
% 1.17/1.33  ;    56 with value (4 26)         48 with value (4 40)           3 with value (4 54)
% 1.17/1.33  ;    37 with value (4 27)         21 with value (4 41)           4 with value (4 55)
% 1.17/1.33  ;    39 with value (4 28)         41 with value (4 42)           4 with value (4 56)
% 1.17/1.33  ;    27 with value (4 29)         28 with value (4 43)           3 with value (4 57)
% 1.17/1.33  ;    29 with value (4 30)         40 with value (4 44)           2 with value (4 58)
% 1.17/1.33  Evaluation took:
% 1.17/1.33    0.871 seconds of real time
% 1.17/1.33    0.790217 seconds of user run time
% 1.17/1.33    0.080311 seconds of system run time
% 1.17/1.33    [Run times include 0.074 seconds GC run time.]
% 1.17/1.33    0 calls to %EVAL
% 1.17/1.33    0 page faults and
% 1.17/1.33    73,585,496 bytes consed.
% 1.17/1.33  :PROOF-FOUND
% 1.17/1.33  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T19:13:47
% 1.17/1.33  :PROOF-FOUND
% 1.17/1.33  * 
%------------------------------------------------------------------------------