TSTP Solution File: SWC373+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC373+1 : TPTP v8.1.0. Released v2.4.0.
% 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 21:58:30 EDT 2022

% Result   : Theorem 60.39s 60.59s
% Output   : Refutation 60.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   18 (  13 unt;   0 nHn;  18 RR)
%            Number of literals    :   31 (   6 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ rearsegP(X,Y)
    | ssList('SKOLEMAAAV7'(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).

cnf(17,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ rearsegP(X,Y)
    | app('SKOLEMAAAV7'(Y,X),Y) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(135,axiom,
    ( ~ ssList(X)
    | segmentP(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).

cnf(136,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | ~ segmentP(X,Y)
    | segmentP(app(app(Z,X),U),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).

cnf(175,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    rearsegP('SKOLEMAAAV51','SKOLEMAAAV50'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,plain,
    rearsegP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[194,193,192,theory(equality)]) ).

cnf(196,negated_conjecture,
    ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(212,plain,
    segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(237,plain,
    app('SKOLEMAAAV49',nil) = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(376,plain,
    ssList('SKOLEMAAAV7'('SKOLEMAAAV48','SKOLEMAAAV49')),
    inference('HYPERRESOLVE',[status(thm)],[16,189,188,195]) ).

cnf(407,plain,
    app('SKOLEMAAAV7'('SKOLEMAAAV48','SKOLEMAAAV49'),'SKOLEMAAAV48') = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[17,189,188,195]) ).

cnf(17082,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,376,188,188,84,212]),196,237,407,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC373+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 20:06:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T20:06:28
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-12T20:06:28
% 60.39/60.59  
% 60.39/60.59  
% 60.39/60.59  #||
% 60.39/60.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.39/60.59  % SZS output start Refutation
% See solution above
% 60.39/60.59  ||#
% 60.39/60.59  
% 60.39/60.59  ; Summary of computation:
% 60.39/60.59  ;     57880 formulas have been input or derived (from 258 formulas).
% 60.39/60.59  ;     17082 (30%) were retained.  Of these,
% 60.39/60.59  ;         4088 (24%) were simplified or subsumed later,
% 60.39/60.59  ;        12994 (76%) are still being kept.
% 60.39/60.59  ; 
% 60.39/60.59  ; Run time in seconds excluding printing time:
% 60.39/60.59  ;     0.026   0%   Read assertion file          (1 call)
% 60.39/60.59  ;     0.009   0%   Assert                       (96 calls)
% 60.39/60.59  ;     1.435   2%   Process new row              (45,815 calls)
% 60.39/60.59  ;    55.919  93%   Resolution                   (514 calls)
% 60.39/60.59  ;     0.004   0%   Paramodulation               (257 calls)
% 60.39/60.59  ;     0.009   0%   Condensing                   (794 calls)
% 60.39/60.59  ;     0.022   0%   Forward subsumption          (794 calls)
% 60.39/60.59  ;     0.006   0%   Backward subsumption         (717 calls)
% 60.39/60.59  ;     0.000   0%   Clause clause subsumption    (484 calls)
% 60.39/60.59  ;     1.528   3%   Forward simplification       (45,654 calls)
% 60.39/60.59  ;     0.977   2%   Backward simplification      (17,081 calls)
% 60.39/60.59  ;     0.015   0%   Ordering                     (2,456 calls)
% 60.39/60.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 60.39/60.59  ;     0.000   0%   Purity testing               (1 call)
% 60.39/60.59  ;     0.170   0%   Other
% 60.39/60.59  ;    60.120        Total
% 60.39/60.59  ;    60.121        Real time
% 60.39/60.60  ; 
% 60.39/60.60  ; Term-hash-array has 24,503 terms in all.
% 60.39/60.60  ; Feature-vector-row-index has 623 entries (623 at peak, 717 added, 94 deleted).
% 60.39/60.60  ; Feature-vector-row-index has 2,919 nodes (2,919 at peak, 3,459 added, 540 deleted).
% 60.39/60.60  ;  Retrieved 532 possibly forward subsuming rows in 794 calls.
% 60.39/60.60  ;  Retrieved 252 possibly backward subsumed rows in 717 calls.
% 60.39/60.60  ; Path-index has 19,043 entries (19,043 at peak, 24,747 added, 5,704 deleted).
% 60.39/60.60  ; Path-index has 5,342 nodes (5,342 at peak, 5,983 added, 641 deleted).
% 60.39/60.60  ; Trie-index has 19,043 entries (19,043 at peak, 24,747 added, 5,704 deleted).
% 60.39/60.60  ; Trie-index has 61,155 nodes (61,155 at peak, 80,132 added, 18,977 deleted).
% 60.39/60.60  ; Retrieved 95,743 generalization terms in 392,209 calls.
% 60.39/60.60  ; Retrieved 16,531 instance terms in 16,363 calls.
% 60.39/60.60  ; Retrieved 122,643,981 unifiable terms in 2,924,538 calls.
% 60.39/60.60  ; 
% 60.39/60.60  ; The agenda of rows to process has 11252 entries:
% 60.39/60.60  ;    42 with value 15            810 with value 21             197 with value 27
% 60.39/60.60  ;   131 with value 16           1019 with value 22             295 with value 28
% 60.39/60.60  ;   198 with value 17           1278 with value 23             294 with value 29
% 60.39/60.60  ;    28 with value 18           2754 with value 24              14 with value 30
% 60.39/60.60  ;   163 with value 19           1069 with value 25               1 with value 37
% 60.39/60.60  ;   177 with value 20           2776 with value 26               6 with value 42
% 60.39/60.60  ; The agenda of rows to give has 12738 entries:
% 60.39/60.60  ;     2 with value (4 7)         315 with value (4 17)         732 with value (4 27)
% 60.39/60.60  ;    46 with value (4 8)         198 with value (4 18)        1673 with value (4 28)
% 60.39/60.60  ;   139 with value (4 9)         298 with value (4 19)        1068 with value (4 29)
% 60.39/60.60  ;    46 with value (4 10)        186 with value (4 20)        1134 with value (4 30)
% 60.39/60.60  ;   120 with value (4 11)        426 with value (4 21)         721 with value (4 31)
% 60.39/60.60  ;   158 with value (4 12)        310 with value (4 22)          72 with value (4 32)
% 60.39/60.60  ;   130 with value (4 13)        721 with value (4 23)         432 with value (4 33)
% 60.39/60.60  ;   227 with value (4 14)        844 with value (4 24)           6 with value (4 35)
% 60.39/60.60  ;    97 with value (4 15)        907 with value (4 25)           4 with value (4 37)
% 60.39/60.60  ;   351 with value (4 16)       1351 with value (4 26)          24 with value (4 42)
% 60.39/60.60  Evaluation took:
% 60.39/60.60    60.123 seconds of real time
% 60.39/60.60    59.48877 seconds of user run time
% 60.39/60.60    0.634208 seconds of system run time
% 60.39/60.60    [Run times include 5.307 seconds GC run time.]
% 60.39/60.60    0 calls to %EVAL
% 60.39/60.60    0 page faults and
% 60.39/60.60    6,299,200,960 bytes consed.
% 60.39/60.60  :PROOF-FOUND
% 60.39/60.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T20:07:28
% 60.39/60.60  :PROOF-FOUND
% 60.39/60.60  * 
%------------------------------------------------------------------------------