TSTP Solution File: GEO647+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 06:17:09 EDT 2022

% Result   : Theorem 3.05s 3.22s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   50 (  37 unt;   0 nHn;  50 RR)
%            Number of literals    :   71 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   54 (   0 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(3,axiom,
    ( ~ para(X,Y,Z,U)
    | para(X,Y,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

cnf(4,axiom,
    ( ~ para(X,Y,Z,U)
    | para(Z,U,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

cnf(5,axiom,
    ( ~ para(X,Y,Z,U)
    | ~ para(Z,U,V,W)
    | para(X,Y,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

cnf(10,axiom,
    ( ~ midp(X,Y,Z)
    | midp(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

cnf(24,axiom,
    ( ~ cong(X,Y,Z,U)
    | ~ cong(Z,U,V,W)
    | cong(X,Y,V,W) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

cnf(44,axiom,
    ( ~ midp(X,Y,Z)
    | ~ midp(U,Y,V)
    | para(X,U,Z,V) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

cnf(63,axiom,
    ( ~ midp(X,Y,Z)
    | ~ midp(X,U,V)
    | para(Y,U,Z,V) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

cnf(64,axiom,
    ( ~ midp(X,Y,Z)
    | ~ para(Y,U,Z,V)
    | ~ para(Y,V,Z,U)
    | midp(X,U,V) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

cnf(67,axiom,
    ( ~ cong(X,Y,X,Z)
    | ~ coll(X,Y,Z)
    | midp(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

cnf(68,axiom,
    ( ~ midp(X,Y,Z)
    | cong(X,Y,X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

cnf(69,axiom,
    ( ~ midp(X,Y,Z)
    | coll(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

cnf(112,negated_conjecture,
    midp('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV23'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

cnf(113,negated_conjecture,
    midp('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV21'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

cnf(114,negated_conjecture,
    midp('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

cnf(115,negated_conjecture,
    para('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV24'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

cnf(116,negated_conjecture,
    para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV26'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

cnf(117,negated_conjecture,
    ~ para('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV22'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

cnf(118,plain,
    midp('SKOLEMAAAV24','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[10,112]) ).

cnf(119,plain,
    midp('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[10,114]) ).

cnf(120,plain,
    midp('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[10,113]) ).

cnf(122,plain,
    coll('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[69,114]) ).

cnf(125,plain,
    cong('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[68,114]) ).

cnf(127,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[3,116]) ).

cnf(129,plain,
    ~ para('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[3,117]) ).

cnf(131,plain,
    para('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV26'),
    inference('HYPERRESOLVE',[status(thm)],[4,115]) ).

cnf(182,plain,
    para('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[63,118,112]) ).

cnf(187,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[63,118,112]) ).

cnf(217,plain,
    cong('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[68,119]) ).

cnf(220,plain,
    para('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[44,119,113]) ).

cnf(263,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[63,120,113]) ).

cnf(268,plain,
    para('SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[63,120,113]) ).

cnf(316,plain,
    coll('SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV26'),
    inference('HYPERRESOLVE',[status(thm)],[2,122,122]) ).

cnf(334,plain,
    para('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[4,127]) ).

cnf(340,plain,
    ~ midp('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV27'),
    inference('UR-RESOLVE',[status(thm)],[63,129,114]) ).

cnf(357,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26'),
    inference('HYPERRESOLVE',[status(thm)],[5,131,115]) ).

cnf(414,plain,
    coll('SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[1,316]) ).

cnf(421,plain,
    ~ midp('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV25'),
    inference('UR-RESOLVE',[status(thm)],[10,340]) ).

cnf(429,plain,
    para('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[5,182,127]) ).

cnf(474,plain,
    cong('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[24,217,125]) ).

cnf(494,plain,
    para('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[4,220]) ).

cnf(562,plain,
    para('SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[5,268,263]) ).

cnf(592,plain,
    para('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV23','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[5,334,187]) ).

cnf(1035,plain,
    para('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[5,429,220]) ).

cnf(1144,plain,
    midp('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[67,474,414]) ).

cnf(1483,plain,
    para('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV25'),
    inference('HYPERRESOLVE',[status(thm)],[5,592,494]) ).

cnf(3367,plain,
    midp('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[64,1144,562,562]) ).

cnf(4325,plain,
    ~ midp('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV26'),
    inference('UR-RESOLVE',[status(thm)],[64,1483,1035,421]) ).

cnf(6733,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[64,3367,357,357]),4325]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.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 13:16:48 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 2022-06-18T13:16:48
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T13:16:48
% 0.18/0.50  
% 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)).
% 3.05/3.22  ; Declaring coll to be commutative.
% 3.05/3.22  
% 3.05/3.22  #||
% 3.05/3.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/3.22  % SZS output start Refutation
% See solution above
% 3.05/3.23  ||#
% 3.05/3.23  
% 3.05/3.23  ; Summary of computation:
% 3.05/3.23  ;     20283 formulas have been input or derived (from 499 formulas).
% 3.05/3.23  ;      6733 (33%) were retained.  Of these,
% 3.05/3.23  ;            5 ( 0%) were simplified or subsumed later,
% 3.05/3.23  ;         6728 (100%) are still being kept.
% 3.05/3.23  ; 
% 3.05/3.23  ; Run time in seconds excluding printing time:
% 3.05/3.23  ;     0.030   1%   Read assertion file          (1 call)
% 3.05/3.23  ;     0.005   0%   Assert                       (95 calls)
% 3.05/3.23  ;     0.296  11%   Process new row              (19,319 calls)
% 3.05/3.23  ;     2.178  79%   Resolution                   (996 calls)
% 3.05/3.23  ;     0.000   0%   Paramodulation               (498 calls)
% 3.05/3.23  ;     0.001   0%   Condensing                   (208 calls)
% 3.05/3.23  ;     0.006   0%   Forward subsumption          (208 calls)
% 3.05/3.23  ;     0.005   0%   Backward subsumption         (207 calls)
% 3.05/3.23  ;     0.003   0%   Clause clause subsumption    (187 calls)
% 3.05/3.23  ;     0.108   4%   Forward simplification       (19,319 calls)
% 3.05/3.23  ;     0.052   2%   Backward simplification      (6,733 calls)
% 3.05/3.23  ;     0.001   0%   Ordering                     (132 calls)
% 3.05/3.23  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.05/3.23  ;     0.000   0%   Purity testing               (1 call)
% 3.05/3.23  ;     0.075   3%   Other
% 3.05/3.23  ;     2.760        Total
% 3.05/3.23  ;     2.763        Real time
% 3.05/3.23  ; 
% 3.05/3.23  ; Term-hash-array has 9,003 terms in all.
% 3.05/3.23  ; Feature-vector-row-index has 207 entries (207 at peak, 207 added, 0 deleted).
% 3.05/3.23  ; Feature-vector-row-index has 535 nodes (535 at peak, 535 added, 0 deleted).
% 3.05/3.23  ;  Retrieved 158 possibly forward subsuming rows in 208 calls.
% 3.05/3.23  ;  Retrieved 63 possibly backward subsumed rows in 207 calls.
% 3.05/3.23  ; Path-index has 9,005 entries (9,005 at peak, 9,010 added, 5 deleted).
% 3.05/3.23  ; Path-index has 1,649 nodes (1,649 at peak, 1,649 added, 0 deleted).
% 3.05/3.23  ; Trie-index has 9,005 entries (9,005 at peak, 9,010 added, 5 deleted).
% 3.05/3.23  ; Trie-index has 24,833 nodes (24,833 at peak, 24,863 added, 30 deleted).
% 3.05/3.23  ; Retrieved 12,393 generalization terms in 19,197 calls.
% 3.05/3.23  ; Retrieved 6,752 instance terms in 6,525 calls.
% 3.05/3.23  ; Retrieved 3,139,772 unifiable terms in 135,581 calls.
% 3.05/3.23  ; 
% 3.05/3.23  ; The agenda of rows to process has 381 entries:
% 3.05/3.23  ;    15 with value 11             68 with value 16             180 with value 19
% 3.05/3.23  ;    44 with value 12             74 with value 18
% 3.05/3.23  ; The agenda of rows to give has 6229 entries:
% 3.05/3.23  ;    18 with value (4 10)        567 with value (4 14)        1675 with value (4 18)
% 3.05/3.23  ;   192 with value (4 11)        747 with value (4 15)         331 with value (4 19)
% 3.05/3.23  ;   125 with value (4 12)        664 with value (4 16)          48 with value (4 21)
% 3.05/3.23  ;   260 with value (4 13)       1554 with value (4 17)          48 with value (4 22)
% 3.05/3.23  Evaluation took:
% 3.05/3.23    2.764 seconds of real time
% 3.05/3.23    2.658851 seconds of user run time
% 3.05/3.23    0.105136 seconds of system run time
% 3.05/3.23    [Run times include 0.161 seconds GC run time.]
% 3.05/3.23    0 calls to %EVAL
% 3.05/3.23    0 page faults and
% 3.05/3.23    161,944,936 bytes consed.
% 3.05/3.23  :PROOF-FOUND
% 3.05/3.23  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:16:51
% 3.05/3.23  :PROOF-FOUND
% 3.05/3.23  * 
%------------------------------------------------------------------------------