TSTP Solution File: GEO585+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 06:16:50 EDT 2022

% Result   : Theorem 17.55s 17.74s
% Output   : Refutation 17.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   43 (  31 unt;   0 nHn;  40 RR)
%            Number of literals    :   59 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   59 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ coll(X,Y,Z)
    | coll(X,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

cnf(2,axiom,
    ( ~ coll(X,Y,Z)
    | ~ coll(X,Y,U)
    | coll(Z,U,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

cnf(7,axiom,
    ( ~ perp(X,Y,Z,U)
    | perp(Z,U,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

cnf(8,axiom,
    ( ~ perp(X,Y,Z,U)
    | ~ perp(Z,U,V,W)
    | para(X,Y,V,W) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

cnf(13,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(X,Y,U,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

cnf(14,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(X,Z,Y,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

cnf(15,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | cyclic(Y,X,Z,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

cnf(16,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | ~ cyclic(X,Y,Z,V)
    | cyclic(Y,Z,U,V) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

cnf(20,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(X,Y,V,W,Z,U,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

cnf(39,axiom,
    ( ~ para(X,Y,Z,U)
    | eqangle(X,Y,V,W,Z,U,V,W) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

cnf(42,axiom,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | ~ coll(X,U,Z)
    | cyclic(Y,Z,X,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

cnf(66,axiom,
    ( ~ para(X,Y,X,Z)
    | coll(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

cnf(114,negated_conjecture,
    perp('SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU25','SKOLEMAAAU26'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).

cnf(117,negated_conjecture,
    perp('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU25','SKOLEMAAAU27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).

cnf(119,negated_conjecture,
    perp('SKOLEMAAAU23','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).

cnf(120,negated_conjecture,
    ~ cyclic('SKOLEMAAAU21','SKOLEMAAAU26','SKOLEMAAAU25','SKOLEMAAAU27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).

cnf(127,plain,
    perp('SKOLEMAAAU25','SKOLEMAAAU27','SKOLEMAAAU21','SKOLEMAAAU23'),
    inference('HYPERRESOLVE',[status(thm)],[7,117]) ).

cnf(129,plain,
    perp('SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU23','SKOLEMAAAU25'),
    inference('HYPERRESOLVE',[status(thm)],[7,119]) ).

cnf(130,plain,
    perp('SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU21','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[7,114]) ).

cnf(133,plain,
    ~ cyclic('SKOLEMAAAU21','SKOLEMAAAU26','SKOLEMAAAU27','SKOLEMAAAU25'),
    inference('UR-RESOLVE',[status(thm)],[13,120]) ).

cnf(160,plain,
    para('SKOLEMAAAU25','SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[8,127,117]) ).

cnf(170,plain,
    para('SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU21','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[8,129,119]) ).

cnf(182,plain,
    para('SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[8,130,114]) ).

cnf(203,plain,
    ~ cyclic('SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU26','SKOLEMAAAU25'),
    inference('UR-RESOLVE',[status(thm)],[14,133]) ).

cnf(262,plain,
    coll('SKOLEMAAAU25','SKOLEMAAAU27','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[66,160]) ).

cnf(263,plain,
    eqangle('SKOLEMAAAU25','SKOLEMAAAU27',X,Y,'SKOLEMAAAU25','SKOLEMAAAU27',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,160]) ).

cnf(286,plain,
    coll('SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[66,170]) ).

cnf(301,plain,
    coll('SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[66,182]) ).

cnf(337,plain,
    ~ cyclic('SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('UR-RESOLVE',[status(thm)],[13,203]) ).

cnf(343,plain,
    coll('SKOLEMAAAU27','SKOLEMAAAU27','SKOLEMAAAU25'),
    inference('HYPERRESOLVE',[status(thm)],[2,262,262]) ).

cnf(351,plain,
    coll('SKOLEMAAAU27','SKOLEMAAAU27','SKOLEMAAAU21'),
    inference('HYPERRESOLVE',[status(thm)],[2,286,286]) ).

cnf(364,plain,
    coll('SKOLEMAAAU26','SKOLEMAAAU26','SKOLEMAAAU25'),
    inference('HYPERRESOLVE',[status(thm)],[2,301,301]) ).

cnf(480,plain,
    ~ cyclic('SKOLEMAAAU27','SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('UR-RESOLVE',[status(thm)],[15,337]) ).

cnf(485,plain,
    coll('SKOLEMAAAU25','SKOLEMAAAU25','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[2,343,343]) ).

cnf(533,plain,
    coll('SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[2,351,343]) ).

cnf(547,plain,
    coll('SKOLEMAAAU25','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[2,364,364]) ).

cnf(805,plain,
    ~ cyclic('SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU26'),
    inference('UR-RESOLVE',[status(thm)],[14,480]) ).

cnf(962,plain,
    coll('SKOLEMAAAU26','SKOLEMAAAU27','SKOLEMAAAU25'),
    inference('HYPERRESOLVE',[status(thm)],[2,547,485]) ).

cnf(2201,plain,
    coll('SKOLEMAAAU26','SKOLEMAAAU25','SKOLEMAAAU27'),
    inference('HYPERRESOLVE',[status(thm)],[1,962]) ).

cnf(5052,plain,
    eqangle('SKOLEMAAAU25','SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU27',X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[20,263]) ).

cnf(12745,plain,
    cyclic('SKOLEMAAAU27','SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU21'),
    inference('HYPERRESOLVE',[status(thm)],[42,5052,533]) ).

cnf(12748,plain,
    cyclic('SKOLEMAAAU27','SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[42,5052,2201]) ).

cnf(12782,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,12745,805]),12748]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.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 : Fri Jun 17 20:39:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:39:42
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-17T20:39:42
% 0.18/0.49  
% 0.18/0.50  WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.50  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 17.55/17.74  ; Declaring coll to be commutative.
% 17.55/17.74  
% 17.55/17.74  #||
% 17.55/17.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.55/17.74  % SZS output start Refutation
% See solution above
% 17.55/17.74  ||#
% 17.55/17.74  
% 17.55/17.74  ; Summary of computation:
% 17.55/17.74  ;     38820 formulas have been input or derived (from 954 formulas).
% 17.55/17.74  ;     12782 (33%) were retained.  Of these,
% 17.55/17.74  ;            7 ( 0%) were simplified or subsumed later,
% 17.55/17.74  ;        12775 (100%) are still being kept.
% 17.55/17.74  ; 
% 17.55/17.74  ; Run time in seconds excluding printing time:
% 17.55/17.74  ;     0.031   0%   Read assertion file          (1 call)
% 17.55/17.74  ;     0.005   0%   Assert                       (95 calls)
% 17.55/17.74  ;     0.742   4%   Process new row              (37,237 calls)
% 17.55/17.74  ;    15.958  92%   Resolution                   (1,906 calls)
% 17.55/17.74  ;     0.004   0%   Paramodulation               (953 calls)
% 17.55/17.74  ;     0.003   0%   Condensing                   (147 calls)
% 17.55/17.74  ;     0.000   0%   Forward subsumption          (147 calls)
% 17.55/17.74  ;     0.003   0%   Backward subsumption         (146 calls)
% 17.55/17.74  ;     0.002   0%   Clause clause subsumption    (152 calls)
% 17.55/17.74  ;     0.210   1%   Forward simplification       (37,237 calls)
% 17.55/17.74  ;     0.192   1%   Backward simplification      (12,782 calls)
% 17.55/17.74  ;     0.001   0%   Ordering                     (74 calls)
% 17.55/17.74  ;     0.000   0%   Sortal reasoning             (32 calls)
% 17.55/17.74  ;     0.000   0%   Purity testing               (1 call)
% 17.55/17.74  ;     0.132   1%   Other
% 17.55/17.74  ;    17.283        Total
% 17.55/17.74  ;    17.286        Real time
% 17.55/17.74  ; 
% 17.55/17.74  ; Term-hash-array has 17,703 terms in all.
% 17.55/17.74  ; Feature-vector-row-index has 146 entries (146 at peak, 146 added, 0 deleted).
% 17.55/17.74  ; Feature-vector-row-index has 362 nodes (362 at peak, 362 added, 0 deleted).
% 17.55/17.74  ;  Retrieved 140 possibly forward subsuming rows in 147 calls.
% 17.55/17.74  ;  Retrieved 46 possibly backward subsumed rows in 146 calls.
% 17.55/17.74  ; Path-index has 17,704 entries (17,704 at peak, 17,711 added, 7 deleted).
% 17.55/17.74  ; Path-index has 2,210 nodes (2,210 at peak, 2,210 added, 0 deleted).
% 17.55/17.74  ; Trie-index has 17,704 entries (17,704 at peak, 17,711 added, 7 deleted).
% 17.55/17.74  ; Trie-index has 73,003 nodes (73,003 at peak, 73,031 added, 28 deleted).
% 17.55/17.74  ; Retrieved 24,484 generalization terms in 37,188 calls.
% 17.55/17.74  ; Retrieved 13,459 instance terms in 12,635 calls.
% 17.55/17.74  ; Retrieved 22,434,183 unifiable terms in 719,205 calls.
% 17.55/17.74  ; 
% 17.55/17.74  ; The agenda of rows to process has 25 entries:
% 17.55/17.74  ;    14 with value 13             10 with value 14               1 with value 17
% 17.55/17.74  ; The agenda of rows to give has 11821 entries:
% 17.55/17.74  ;     7 with value (4 13)       1517 with value (4 21)         424 with value (4 28)
% 17.55/17.74  ;   423 with value (4 14)        418 with value (4 22)         308 with value (4 29)
% 17.55/17.74  ;   657 with value (4 15)        468 with value (4 23)         469 with value (4 30)
% 17.55/17.74  ;   337 with value (4 16)        508 with value (4 24)           6 with value (4 31)
% 17.55/17.74  ;   367 with value (4 17)        422 with value (4 25)          16 with value (4 32)
% 17.55/17.74  ;   854 with value (4 18)       1202 with value (4 26)          72 with value (4 33)
% 17.55/17.74  ;  1534 with value (4 19)        456 with value (4 27)         352 with value (4 34)
% 17.55/17.74  ;  1004 with value (4 20)
% 17.55/17.74  Evaluation took:
% 17.55/17.74    17.287 seconds of real time
% 17.55/17.74    17.005968 seconds of user run time
% 17.55/17.74    0.280815 seconds of system run time
% 17.55/17.74    [Run times include 0.872 seconds GC run time.]
% 17.55/17.74    0 calls to %EVAL
% 17.55/17.74    0 page faults and
% 17.55/17.74    839,744,744 bytes consed.
% 17.55/17.74  :PROOF-FOUND
% 17.55/17.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:39:59
% 17.55/17.74  :PROOF-FOUND
% 17.55/17.74  * 
%------------------------------------------------------------------------------