TSTP Solution File: SWV417+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV417+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 21:33:14 EDT 2022

% Result   : Theorem 0.87s 1.09s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   3 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(20,axiom,
    ( ~ contains_pq(X,Y)
    | ~ issmallestelement_pq(X,Y)
    | findmin_pq_res(X,Y) = Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+1.ax',ax14) ).

cnf(73,axiom,
    ( ~ pi_sharp_find_min(X,Y)
    | contains_pq(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax58) ).

cnf(74,axiom,
    ( ~ pi_sharp_find_min(X,Y)
    | issmallestelement_pq(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax58) ).

cnf(87,axiom,
    ( ~ phi(findmin_cpq_eff(triple(X,Y,Z)))
    | pi_sharp_find_min(i(triple(X,Y,Z)),findmin_cpq_res(triple(X,Y,Z))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main4_l7) ).

cnf(89,negated_conjecture,
    phi(findmin_cpq_eff(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co4) ).

cnf(90,negated_conjecture,
    ( ~ pi_sharp_find_min(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),X)
    | findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')) != findmin_pq_res(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co4) ).

cnf(189,plain,
    pi_sharp_find_min(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    inference('HYPERRESOLVE',[status(thm)],[87,89]) ).

cnf(713,plain,
    issmallestelement_pq(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    inference('HYPERRESOLVE',[status(thm)],[74,189]) ).

cnf(714,plain,
    contains_pq(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    inference('HYPERRESOLVE',[status(thm)],[73,189]) ).

cnf(716,plain,
    findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')) != findmin_pq_res(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    inference('UR-RESOLVE',[status(thm)],[90,189]) ).

cnf(1123,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[20,714,713]),716]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV417+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 09:31:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T09:31:50
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-15T09:31:50
% 0.87/1.09  
% 0.87/1.09  
% 0.87/1.09  #||
% 0.87/1.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.09  % SZS output start Refutation
% See solution above
% 0.94/1.09  ||#
% 0.94/1.09  
% 0.94/1.09  ; Summary of computation:
% 0.94/1.09  ;     11283 formulas have been input or derived (from 296 formulas).
% 0.94/1.09  ;      1123 (10%) were retained.  Of these,
% 0.94/1.09  ;           43 ( 4%) were simplified or subsumed later,
% 0.94/1.09  ;         1080 (96%) are still being kept.
% 0.94/1.09  ; 
% 0.94/1.09  ; Run time in seconds excluding printing time:
% 0.94/1.09  ;     0.017   3%   Read assertion file          (1 call)
% 0.94/1.09  ;     0.003   0%   Assert                       (64 calls)
% 0.94/1.09  ;     0.091  15%   Process new row              (11,114 calls)
% 0.94/1.09  ;     0.090  14%   Resolution                   (590 calls)
% 0.94/1.09  ;     0.015   2%   Paramodulation               (295 calls)
% 0.94/1.09  ;     0.000   0%   Factoring                    (13 calls)
% 0.94/1.09  ;     0.014   2%   Condensing                   (550 calls)
% 0.94/1.09  ;     0.014   2%   Forward subsumption          (550 calls)
% 0.94/1.09  ;     0.013   2%   Backward subsumption         (232 calls)
% 0.94/1.09  ;     0.007   1%   Clause clause subsumption    (690 calls)
% 0.94/1.09  ;     0.260  42%   Forward simplification       (11,111 calls)
% 0.94/1.09  ;     0.012   2%   Backward simplification      (1,123 calls)
% 0.94/1.09  ;     0.023   4%   Ordering                     (13,050 calls)
% 0.94/1.09  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.94/1.09  ;     0.000   0%   Purity testing               (1 call)
% 0.94/1.09  ;     0.063  10%   Other
% 0.94/1.09  ;     0.622        Total
% 0.94/1.09  ;     0.624        Real time
% 0.94/1.09  ; 
% 0.94/1.09  ; Term-hash-array has 2,267 terms in all.
% 0.94/1.09  ; Feature-vector-row-index has 229 entries (229 at peak, 232 added, 3 deleted).
% 0.94/1.09  ; Feature-vector-row-index has 1,592 nodes (1,592 at peak, 1,612 added, 20 deleted).
% 0.94/1.09  ;  Retrieved 991 possibly forward subsuming rows in 550 calls.
% 0.94/1.09  ;  Retrieved 36 possibly backward subsumed rows in 232 calls.
% 0.94/1.09  ; Path-index has 2,205 entries (2,205 at peak, 2,278 added, 73 deleted).
% 0.94/1.09  ; Path-index has 6,746 nodes (6,746 at peak, 6,878 added, 132 deleted).
% 0.94/1.09  ; Trie-index has 2,205 entries (2,205 at peak, 2,278 added, 73 deleted).
% 0.94/1.09  ; Trie-index has 8,825 nodes (8,825 at peak, 9,122 added, 297 deleted).
% 0.94/1.09  ; Retrieved 49,394 generalization terms in 74,667 calls.
% 0.94/1.09  ; Retrieved 938 instance terms in 896 calls.
% 0.94/1.09  ; Retrieved 30,185 unifiable terms in 4,413 calls.
% 0.94/1.09  ; 
% 0.94/1.09  ; The agenda of rows to process has 13 entries:
% 0.94/1.09  ;     4 with value 24              2 with value 38               1 with value 51
% 0.94/1.09  ;     2 with value 30              4 with value 45
% 0.94/1.09  ; The agenda of rows to give has 786 entries:
% 0.94/1.09  ;     2 with value (4 16)         12 with value (4 28)           1 with value (4 41)
% 0.94/1.09  ;    97 with value (4 17)         22 with value (4 29)           2 with value (4 42)
% 0.94/1.09  ;   128 with value (4 18)         39 with value (4 30)           3 with value (4 45)
% 0.94/1.09  ;   139 with value (4 19)         53 with value (4 31)           2 with value (4 46)
% 0.94/1.09  ;    91 with value (4 20)         48 with value (4 32)           3 with value (4 47)
% 0.94/1.09  ;    19 with value (4 21)         18 with value (4 33)           4 with value (4 48)
% 0.94/1.09  ;    25 with value (4 22)          1 with value (4 34)           5 with value (4 49)
% 0.94/1.09  ;    20 with value (4 23)          2 with value (4 35)           2 with value (4 53)
% 0.94/1.09  ;    25 with value (4 24)          1 with value (4 37)           2 with value (4 54)
% 0.94/1.09  ;     2 with value (4 25)          1 with value (4 38)           1 with value (4 55)
% 0.94/1.09  ;     4 with value (4 26)          2 with value (4 39)           1 with value (4 60)
% 0.94/1.09  ;     6 with value (4 27)          3 with value (4 40)
% 0.94/1.09  Evaluation took:
% 0.94/1.09    0.624 seconds of real time
% 0.94/1.09    0.549774 seconds of user run time
% 0.94/1.09    0.07415 seconds of system run time
% 0.94/1.09    [Run times include 0.026 seconds GC run time.]
% 0.94/1.09    0 calls to %EVAL
% 0.94/1.09    0 page faults and
% 0.94/1.09    46,322,752 bytes consed.
% 0.94/1.09  :PROOF-FOUND
% 0.94/1.09  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T09:31:51
% 0.94/1.09  :PROOF-FOUND
% 0.94/1.09  * 
%------------------------------------------------------------------------------