TSTP Solution File: GEO567+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO567+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 06:16:45 EDT 2022

% Result   : Theorem 2.73s 2.90s
% Output   : Refutation 2.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   36 (  26 unt;   0 nHn;  34 RR)
%            Number of literals    :   50 (   0 equ;  18 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   :   46 (   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(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(112,negated_conjecture,
    perp('SKOLEMAAAU24','SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).

cnf(113,negated_conjecture,
    coll('SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).

cnf(115,negated_conjecture,
    coll('SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU22'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).

cnf(117,negated_conjecture,
    coll('SKOLEMAAAU26','SKOLEMAAAU21','SKOLEMAAAU23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).

cnf(118,negated_conjecture,
    ~ cyclic('SKOLEMAAAU22','SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).

cnf(128,plain,
    perp('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU24','SKOLEMAAAU21'),
    inference('HYPERRESOLVE',[status(thm)],[7,112]) ).

cnf(131,plain,
    ~ cyclic('SKOLEMAAAU22','SKOLEMAAAU25','SKOLEMAAAU23','SKOLEMAAAU26'),
    inference('UR-RESOLVE',[status(thm)],[13,118]) ).

cnf(135,plain,
    coll('SKOLEMAAAU23','SKOLEMAAAU23','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[2,113,113]) ).

cnf(136,plain,
    coll('SKOLEMAAAU23','SKOLEMAAAU23','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[2,117,117]) ).

cnf(138,plain,
    coll('SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU25'),
    inference('HYPERRESOLVE',[status(thm)],[2,115,115]) ).

cnf(155,plain,
    coll('SKOLEMAAAU26','SKOLEMAAAU22','SKOLEMAAAU23'),
    inference('HYPERRESOLVE',[status(thm)],[2,136,135]) ).

cnf(165,plain,
    para('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU23'),
    inference('HYPERRESOLVE',[status(thm)],[8,128,112]) ).

cnf(177,plain,
    ~ cyclic('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('UR-RESOLVE',[status(thm)],[14,131]) ).

cnf(205,plain,
    coll('SKOLEMAAAU26','SKOLEMAAAU23','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[1,155]) ).

cnf(220,plain,
    eqangle('SKOLEMAAAU22','SKOLEMAAAU23',X,Y,'SKOLEMAAAU22','SKOLEMAAAU23',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,165]) ).

cnf(307,plain,
    ~ cyclic('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU25','SKOLEMAAAU26'),
    inference('UR-RESOLVE',[status(thm)],[15,177]) ).

cnf(493,plain,
    coll('SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[2,205,205]) ).

cnf(2233,plain,
    cyclic('SKOLEMAAAU23','SKOLEMAAAU25','SKOLEMAAAU22','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[42,220,138]) ).

cnf(2238,plain,
    cyclic('SKOLEMAAAU23','SKOLEMAAAU26','SKOLEMAAAU22','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[42,220,493]) ).

cnf(2245,plain,
    cyclic('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU25','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[14,2233]) ).

cnf(2257,plain,
    cyclic('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU26','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[14,2238]) ).

cnf(2261,plain,
    cyclic('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU25','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[15,2245]) ).

cnf(2283,plain,
    cyclic('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU26','SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[15,2257]) ).

cnf(2291,plain,
    cyclic('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU25'),
    inference('HYPERRESOLVE',[status(thm)],[13,2261]) ).

cnf(2723,plain,
    cyclic('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU26'),
    inference('HYPERRESOLVE',[status(thm)],[13,2283]) ).

cnf(2741,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,2291,307]),2723]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO567+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.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 02:15:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:15:28
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T02:15:28
% 0.18/0.51  
% 0.18/0.51  WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.51  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 2.73/2.90  ; Declaring coll to be commutative.
% 2.73/2.90  
% 2.73/2.90  #||
% 2.73/2.90  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/2.90  % SZS output start Refutation
% See solution above
% 2.73/2.91  ||#
% 2.73/2.91  
% 2.73/2.91  ; Summary of computation:
% 2.73/2.91  ;     10732 formulas have been input or derived (from 500 formulas).
% 2.73/2.91  ;      2741 (26%) were retained.  Of these,
% 2.73/2.91  ;            1 ( 0%) were simplified or subsumed later,
% 2.73/2.91  ;         2740 (100%) are still being kept.
% 2.73/2.91  ; 
% 2.73/2.91  ; Run time in seconds excluding printing time:
% 2.73/2.91  ;     0.031   1%   Read assertion file          (1 call)
% 2.73/2.91  ;     0.003   0%   Assert                       (95 calls)
% 2.73/2.91  ;     0.128   5%   Process new row              (10,159 calls)
% 2.73/2.91  ;     2.140  88%   Resolution                   (998 calls)
% 2.73/2.91  ;     0.003   0%   Paramodulation               (499 calls)
% 2.73/2.91  ;     0.000   0%   Condensing                   (124 calls)
% 2.73/2.91  ;     0.005   0%   Forward subsumption          (124 calls)
% 2.73/2.91  ;     0.004   0%   Backward subsumption         (123 calls)
% 2.73/2.91  ;     0.001   0%   Clause clause subsumption    (151 calls)
% 2.73/2.91  ;     0.042   2%   Forward simplification       (10,159 calls)
% 2.73/2.91  ;     0.019   1%   Backward simplification      (2,741 calls)
% 2.73/2.91  ;     0.000   0%   Ordering                     (24 calls)
% 2.73/2.91  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.73/2.91  ;     0.001   0%   Purity testing               (1 call)
% 2.73/2.91  ;     0.057   2%   Other
% 2.73/2.91  ;     2.434        Total
% 2.73/2.91  ;     2.446        Real time
% 2.73/2.91  ; 
% 2.73/2.91  ; Term-hash-array has 3,686 terms in all.
% 2.73/2.91  ; Feature-vector-row-index has 123 entries (123 at peak, 123 added, 0 deleted).
% 2.73/2.91  ; Feature-vector-row-index has 248 nodes (248 at peak, 248 added, 0 deleted).
% 2.73/2.91  ;  Retrieved 140 possibly forward subsuming rows in 124 calls.
% 2.73/2.91  ;  Retrieved 45 possibly backward subsumed rows in 123 calls.
% 2.73/2.91  ; Path-index has 3,691 entries (3,691 at peak, 3,692 added, 1 deleted).
% 2.73/2.91  ; Path-index has 1,066 nodes (1,066 at peak, 1,066 added, 0 deleted).
% 2.73/2.91  ; Trie-index has 3,691 entries (3,691 at peak, 3,692 added, 1 deleted).
% 2.73/2.91  ; Trie-index has 9,170 nodes (9,170 at peak, 9,174 added, 4 deleted).
% 2.73/2.91  ; Retrieved 7,417 generalization terms in 10,063 calls.
% 2.73/2.91  ; Retrieved 2,700 instance terms in 2,617 calls.
% 2.73/2.91  ; Retrieved 3,121,417 unifiable terms in 172,788 calls.
% 2.73/2.91  ; 
% 2.73/2.91  ; The agenda of rows to process has 9 entries:
% 2.73/2.91  ;     8 with value 14              1 with value 18
% 2.73/2.91  ; The agenda of rows to give has 2240 entries:
% 2.73/2.91  ;   154 with value (4 13)        585 with value (4 16)          46 with value (4 19)
% 2.73/2.91  ;   124 with value (4 14)        774 with value (4 17)           6 with value (4 21)
% 2.73/2.91  ;   132 with value (4 15)        413 with value (4 18)           6 with value (4 30)
% 2.73/2.91  Evaluation took:
% 2.73/2.91    2.446 seconds of real time
% 2.73/2.91    2.378325 seconds of user run time
% 2.73/2.91    0.066718 seconds of system run time
% 2.73/2.91    [Run times include 0.091 seconds GC run time.]
% 2.73/2.91    0 calls to %EVAL
% 2.73/2.91    0 page faults and
% 2.73/2.91    164,139,184 bytes consed.
% 2.73/2.91  :PROOF-FOUND
% 2.73/2.91  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:15:30
% 2.73/2.91  :PROOF-FOUND
% 2.73/2.91  * 
%------------------------------------------------------------------------------