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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO607+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 06:16:56 EDT 2022

% Result   : Theorem 19.45s 19.62s
% Output   : Refutation 19.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   34 (  18 unt;   0 nHn;  20 RR)
%            Number of literals    :   60 (   0 equ;  27 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  113 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(16,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | ~ cyclic(X,Y,Z,V)
    | cyclic(Y,Z,U,V) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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(20,axiom,
    ( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
    | eqangle(X,Y,V,W,Z,U,X1,Y1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

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(40,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | eqangle(Z,X,Z,Y,U,X,U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

cnf(42,axiom,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | ~ coll(X,U,Z)
    | cyclic(Y,Z,X,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

cnf(43,axiom,
    ( ~ cyclic(X,Y,Z,U)
    | ~ cyclic(X,Y,Z,V)
    | ~ cyclic(X,Y,Z,W)
    | ~ eqangle(Z,X,Z,Y,W,U,W,V)
    | cong(X,Y,U,V) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

cnf(57,axiom,
    ( ~ cong(X,Y,Z,Y)
    | ~ cong(X,U,Z,U)
    | ~ cyclic(X,Z,Y,U)
    | perp(Y,X,X,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

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

cnf(113,negated_conjecture,
    perp('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

cnf(116,negated_conjecture,
    ~ perp('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV26'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

cnf(122,plain,
    perp('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[7,113]) ).

cnf(167,plain,
    para('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[8,122,113]) ).

cnf(242,plain,
    eqangle('SKOLEMAAAV24','SKOLEMAAAV22',X,Y,'SKOLEMAAAV24','SKOLEMAAAV22',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[39,167]) ).

cnf(5778,plain,
    eqangle('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV22',X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[20,242]) ).

cnf(5779,plain,
    eqangle(X,Y,'SKOLEMAAAV24','SKOLEMAAAV22',X,Y,'SKOLEMAAAV24','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[18,242]) ).

cnf(22831,plain,
    para(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[38,5779]) ).

cnf(22840,plain,
    coll(X,Y,Y),
    inference('HYPERRESOLVE',[status(thm)],[66,22831]) ).

cnf(23162,plain,
    coll(X,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[2,22840,22840]) ).

cnf(24084,plain,
    coll(X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[2,23162,23162]) ).

cnf(24090,plain,
    ( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
    | cyclic(Y,Z,X,U) ),
    inference('REWRITE',[status(thm)],[42,24084]) ).

cnf(24150,plain,
    cyclic('SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV24',X),
    inference('HYPERRESOLVE',[status(thm)],[24090,5778]) ).

cnf(24225,plain,
    cyclic('SKOLEMAAAV22','SKOLEMAAAV24',X,Y),
    inference('HYPERRESOLVE',[status(thm)],[16,24150,24150]) ).

cnf(25218,plain,
    cyclic('SKOLEMAAAV24',X,Y,Z),
    inference('HYPERRESOLVE',[status(thm)],[16,24225,24225]) ).

cnf(26798,plain,
    cyclic(X,Y,Z,U),
    inference('HYPERRESOLVE',[status(thm)],[16,25218,25218]) ).

cnf(26799,plain,
    ( ~ cong(X,Y,Z,Y)
    | ~ cong(X,U,Z,U)
    | perp(Y,X,X,U) ),
    inference('REWRITE',[status(thm)],[57,26798]) ).

cnf(26801,plain,
    eqangle(X,Y,X,Z,U,Y,U,Z),
    inference('REWRITE',[status(thm)],[40,26798]) ).

cnf(26802,plain,
    ( ~ eqangle(X,Y,X,Z,U,V,U,W)
    | cong(Y,Z,V,W) ),
    inference('REWRITE',[status(thm)],[43,26798]) ).

cnf(26891,plain,
    cong(X,Y,X,Y),
    inference('HYPERRESOLVE',[status(thm)],[26802,26801]) ).

cnf(27051,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[26799,26891,26891,116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % 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 : Sat Jun 18 02:01:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:01:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T02:01:57
% 0.18/0.50  
% 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)).
% 19.45/19.62  ; Declaring coll to be commutative.
% 19.45/19.62  
% 19.45/19.62  #||
% 19.45/19.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.45/19.62  % SZS output start Refutation
% See solution above
% 19.45/19.63  ||#
% 19.45/19.63  
% 19.45/19.63  ; Summary of computation:
% 19.45/19.63  ;    101489 formulas have been input or derived (from 1013 formulas).
% 19.45/19.63  ;     27051 (27%) were retained.  Of these,
% 19.45/19.63  ;        19026 (70%) were simplified or subsumed later,
% 19.45/19.63  ;         8025 (30%) are still being kept.
% 19.45/19.63  ; 
% 19.45/19.63  ; Run time in seconds excluding printing time:
% 19.45/19.63  ;     0.031   0%   Read assertion file          (1 call)
% 19.45/19.63  ;     0.003   0%   Assert                       (95 calls)
% 19.45/19.63  ;     1.687   9%   Process new row              (98,339 calls)
% 19.45/19.63  ;    14.671  77%   Resolution                   (2,024 calls)
% 19.45/19.63  ;     0.002   0%   Paramodulation               (1,012 calls)
% 19.45/19.63  ;     0.001   0%   Condensing                   (453 calls)
% 19.45/19.63  ;     0.020   0%   Forward subsumption          (453 calls)
% 19.45/19.63  ;     0.008   0%   Backward subsumption         (396 calls)
% 19.45/19.63  ;     0.002   0%   Clause clause subsumption    (439 calls)
% 19.45/19.63  ;     0.481   3%   Forward simplification       (85,330 calls)
% 19.45/19.63  ;     1.971  10%   Backward simplification      (27,051 calls)
% 19.45/19.63  ;     0.000   0%   Ordering                     (548 calls)
% 19.45/19.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 19.45/19.63  ;     0.000   0%   Purity testing               (1 call)
% 19.45/19.63  ;     0.290   2%   Other
% 19.45/19.63  ;    19.167        Total
% 19.45/19.63  ;    19.170        Real time
% 19.45/19.63  ; 
% 19.45/19.63  ; Term-hash-array has 38,015 terms in all.
% 19.45/19.63  ; Feature-vector-row-index has 203 entries (383 at peak, 396 added, 193 deleted).
% 19.45/19.63  ; Feature-vector-row-index has 502 nodes (1,086 at peak, 1,100 added, 598 deleted).
% 19.45/19.63  ;  Retrieved 347 possibly forward subsuming rows in 453 calls.
% 19.45/19.63  ;  Retrieved 152 possibly backward subsumed rows in 396 calls.
% 19.45/19.63  ; Path-index has 10,646 entries (31,966 at peak, 38,038 added, 27,392 deleted).
% 19.45/19.63  ; Path-index has 3,672 nodes (4,828 at peak, 5,364 added, 1,692 deleted).
% 19.45/19.63  ; Trie-index has 10,646 entries (31,966 at peak, 38,038 added, 27,392 deleted).
% 19.45/19.63  ; Trie-index has 41,939 nodes (113,971 at peak, 138,609 added, 96,670 deleted).
% 19.45/19.63  ; Retrieved 75,420 generalization terms in 85,320 calls.
% 19.45/19.63  ; Retrieved 122,412 instance terms in 26,654 calls.
% 19.45/19.63  ; Retrieved 25,643,001 unifiable terms in 370,778 calls.
% 19.45/19.63  ; 
% 19.45/19.63  ; The agenda of rows to process has 473 entries:
% 19.45/19.63  ;     1 with value 7              18 with value 14              16 with value 22
% 19.45/19.63  ;    30 with value 8               6 with value 15              10 with value 23
% 19.45/19.63  ;    14 with value 9              10 with value 16              40 with value 24
% 19.45/19.63  ;    22 with value 10             32 with value 18              30 with value 25
% 19.45/19.63  ;    32 with value 11             26 with value 19               4 with value 28
% 19.45/19.63  ;    50 with value 12             94 with value 20               4 with value 29
% 19.45/19.63  ;    20 with value 13             14 with value 21
% 19.45/19.63  ; The agenda of rows to give has 7639 entries:
% 19.45/19.63  ;     6 with value (4 8)        1001 with value (4 18)         151 with value (4 27)
% 19.45/19.63  ;     1 with value (4 9)         784 with value (4 19)         292 with value (4 28)
% 19.45/19.63  ;     2 with value (4 10)        650 with value (4 20)         229 with value (4 29)
% 19.45/19.63  ;     7 with value (4 11)       1008 with value (4 21)           6 with value (4 30)
% 19.45/19.63  ;    11 with value (4 12)       1093 with value (4 22)          21 with value (4 31)
% 19.45/19.63  ;    26 with value (4 13)         54 with value (4 23)          16 with value (4 32)
% 19.45/19.63  ;   526 with value (4 14)         73 with value (4 24)          20 with value (4 33)
% 19.45/19.63  ;   423 with value (4 15)        262 with value (4 25)          78 with value (4 34)
% 19.45/19.63  ;   193 with value (4 16)        199 with value (4 26)         148 with value (4 35)
% 19.45/19.63  ;   359 with value (4 17)
% 19.45/19.63  Evaluation took:
% 19.45/19.63    19.172 seconds of real time
% 19.45/19.63    18.491077 seconds of user run time
% 19.45/19.63    0.680646 seconds of system run time
% 19.45/19.63    [Run times include 1.883 seconds GC run time.]
% 19.45/19.63    0 calls to %EVAL
% 19.45/19.63    0 page faults and
% 19.45/19.63    850,988,976 bytes consed.
% 19.45/19.63  :PROOF-FOUND
% 19.45/19.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:02:16
% 19.45/19.63  :PROOF-FOUND
% 19.45/19.63  * 
%------------------------------------------------------------------------------