TSTP Solution File: GEO554+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO554+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 06:16:41 EDT 2022

% Result   : Theorem 3.40s 3.60s
% Output   : Refutation 3.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   27 (  19 unt;   0 nHn;  24 RR)
%            Number of literals    :   37 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   46 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ coll(X,Y,Z)
    | coll(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

cnf(2,axiom,
    ( ~ coll(X,Y,Z)
    | ~ coll(X,Y,U)
    | coll(Z,U,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

cnf(7,axiom,
    ( ~ perp(X,Y,Z,U)
    | perp(Z,U,X,Y) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

cnf(18,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(Z,U,X,Y,X1,Y1,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

cnf(38,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,Z,U)
    | para(X,Y,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

cnf(39,axiom,
    ( ~ para(X,Y,Z,U)
    | eqangle(X,Y,V,W,Z,U,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

cnf(66,axiom,
    ( ~ para(X,Y,X,Z)
    | coll(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

cnf(112,negated_conjecture,
    perp('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).

cnf(116,negated_conjecture,
    coll('SKOLEMAAAV23','SKOLEMAAAV24','SKOLEMAAAV25'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).

cnf(118,negated_conjecture,
    coll('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV26'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).

cnf(122,negated_conjecture,
    ~ coll('SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV27'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).

cnf(123,plain,
    coll('SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[1,118]) ).

cnf(127,plain,
    ~ coll('SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[1,122]) ).

cnf(134,plain,
    perp('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[7,112]) ).

cnf(138,plain,
    coll('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV24'),
    inference('HYPERRESOLVE',[status(thm)],[2,116,116]) ).

cnf(151,plain,
    coll('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV26'),
    inference('HYPERRESOLVE',[status(thm)],[2,123,123]) ).

cnf(175,plain,
    para('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[8,134,112]) ).

cnf(187,plain,
    coll('SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[2,151,138]) ).

cnf(217,plain,
    eqangle('SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,175]) ).

cnf(254,plain,
    coll('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV26'),
    inference('HYPERRESOLVE',[status(thm)],[1,187]) ).

cnf(412,plain,
    coll('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV24'),
    inference('HYPERRESOLVE',[status(thm)],[2,254,254]) ).

cnf(767,plain,
    ~ coll('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[2,412,127]) ).

cnf(935,plain,
    ~ coll('SKOLEMAAAV27',X,'SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[2,767]) ).

cnf(1604,plain,
    ~ para('SKOLEMAAAV27',X,'SKOLEMAAAV27','SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[66,935]) ).

cnf(1938,plain,
    eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[18,217]) ).

cnf(4558,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[38,1938,1604]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n007.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 : Sat Jun 18 02:02:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:02:28
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T02:02:28
% 0.20/0.52  
% 0.20/0.52  WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.52  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 3.40/3.60  ; Declaring coll to be commutative.
% 3.40/3.60  
% 3.40/3.60  #||
% 3.40/3.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/3.60  % SZS output start Refutation
% See solution above
% 3.40/3.61  ||#
% 3.40/3.61  
% 3.40/3.61  ; Summary of computation:
% 3.40/3.61  ;     14344 formulas have been input or derived (from 710 formulas).
% 3.40/3.61  ;      4558 (32%) were retained.  Of these,
% 3.40/3.61  ;          219 ( 5%) were simplified or subsumed later,
% 3.40/3.61  ;         4339 (95%) are still being kept.
% 3.40/3.61  ; 
% 3.40/3.61  ; Run time in seconds excluding printing time:
% 3.40/3.61  ;     0.032   1%   Read assertion file          (1 call)
% 3.40/3.61  ;     0.005   0%   Assert                       (95 calls)
% 3.40/3.61  ;     0.234   7%   Process new row              (13,464 calls)
% 3.40/3.61  ;     2.644  85%   Resolution                   (1,418 calls)
% 3.40/3.61  ;     0.003   0%   Paramodulation               (709 calls)
% 3.40/3.61  ;     0.002   0%   Condensing                   (119 calls)
% 3.40/3.61  ;     0.001   0%   Forward subsumption          (119 calls)
% 3.40/3.61  ;     0.002   0%   Backward subsumption         (118 calls)
% 3.40/3.61  ;     0.002   0%   Clause clause subsumption    (152 calls)
% 3.40/3.61  ;     0.079   3%   Forward simplification       (13,464 calls)
% 3.40/3.61  ;     0.056   2%   Backward simplification      (4,558 calls)
% 3.40/3.61  ;     0.000   0%   Ordering                     (18 calls)
% 3.40/3.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.40/3.61  ;     0.000   0%   Purity testing               (1 call)
% 3.40/3.61  ;     0.067   2%   Other
% 3.40/3.61  ;     3.127        Total
% 3.40/3.61  ;     3.129        Real time
% 3.40/3.61  ; 
% 3.40/3.61  ; Term-hash-array has 5,536 terms in all.
% 3.40/3.61  ; Feature-vector-row-index has 118 entries (118 at peak, 118 added, 0 deleted).
% 3.40/3.61  ; Feature-vector-row-index has 213 nodes (213 at peak, 213 added, 0 deleted).
% 3.40/3.61  ;  Retrieved 140 possibly forward subsuming rows in 119 calls.
% 3.40/3.61  ;  Retrieved 46 possibly backward subsumed rows in 118 calls.
% 3.40/3.61  ; Path-index has 5,333 entries (5,333 at peak, 5,552 added, 219 deleted).
% 3.40/3.61  ; Path-index has 2,262 nodes (2,262 at peak, 2,262 added, 0 deleted).
% 3.40/3.61  ; Trie-index has 5,333 entries (5,333 at peak, 5,552 added, 219 deleted).
% 3.40/3.61  ; Trie-index has 21,376 nodes (21,376 at peak, 21,776 added, 400 deleted).
% 3.40/3.61  ; Retrieved 9,323 generalization terms in 13,357 calls.
% 3.40/3.61  ; Retrieved 5,263 instance terms in 4,439 calls.
% 3.40/3.61  ; Retrieved 3,889,449 unifiable terms in 218,851 calls.
% 3.40/3.61  ; 
% 3.40/3.61  ; The agenda of rows to process has 121 entries:
% 3.40/3.61  ;    10 with value 11             79 with value 15               5 with value 18
% 3.40/3.61  ;     1 with value 12             19 with value 16               1 with value 22
% 3.40/3.61  ;     4 with value 14              1 with value 17               1 with value 31
% 3.40/3.61  ; The agenda of rows to give has 3740 entries:
% 3.40/3.61  ;   268 with value (4 14)        267 with value (4 21)          42 with value (4 28)
% 3.40/3.61  ;   315 with value (4 15)        130 with value (4 22)          56 with value (4 29)
% 3.40/3.61  ;    97 with value (4 16)        286 with value (4 23)         130 with value (4 30)
% 3.40/3.61  ;   135 with value (4 17)        270 with value (4 24)           9 with value (4 31)
% 3.40/3.61  ;   570 with value (4 18)        193 with value (4 25)          18 with value (4 32)
% 3.40/3.61  ;   344 with value (4 19)        112 with value (4 26)          22 with value (4 33)
% 3.40/3.61  ;   351 with value (4 20)        105 with value (4 27)          20 with value (4 34)
% 3.40/3.61  Evaluation took:
% 3.40/3.61    3.13 seconds of real time
% 3.40/3.61    3.037304 seconds of user run time
% 3.40/3.61    0.092726 seconds of system run time
% 3.40/3.61    [Run times include 0.157 seconds GC run time.]
% 3.40/3.61    0 calls to %EVAL
% 3.40/3.61    0 page faults and
% 3.40/3.61    207,251,864 bytes consed.
% 3.40/3.61  :PROOF-FOUND
% 3.40/3.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:02:31
% 3.40/3.61  :PROOF-FOUND
% 3.40/3.61  * 
%------------------------------------------------------------------------------