TSTP Solution File: GEO094+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 06:13:50 EDT 2022

% Result   : Theorem 0.33s 0.52s
% Output   : Refutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   23 (  14 unt;   2 nHn;  21 RR)
%            Number of literals    :   42 (   0 equ;  22 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ part_of(X,Y)
    | ~ incident_c(Z,X)
    | incident_c(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).

cnf(11,axiom,
    ( ~ end_point(X,Y)
    | ~ part_of(Z,Y)
    | ~ part_of(U,Y)
    | ~ incident_c(X,Z)
    | ~ incident_c(X,U)
    | part_of(Z,U)
    | part_of(U,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).

cnf(18,axiom,
    ( ~ inner_point(X,Y)
    | incident_c(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).

cnf(19,axiom,
    ( ~ inner_point(X,Y)
    | ~ end_point(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).

cnf(21,axiom,
    ( ~ meet(X,Y,Z)
    | incident_c(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).

cnf(22,axiom,
    ( ~ meet(X,Y,Z)
    | incident_c(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).

cnf(23,axiom,
    ( ~ meet(X,Y,Z)
    | ~ incident_c(U,Y)
    | ~ incident_c(U,Z)
    | end_point(U,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).

cnf(24,axiom,
    ( ~ meet(X,Y,Z)
    | ~ incident_c(U,Y)
    | ~ incident_c(U,Z)
    | end_point(U,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).

cnf(34,axiom,
    inner_point('SKOLEMAAAP8'(X),X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).

cnf(44,negated_conjecture,
    meet('SKOLEMAAAP17','SKOLEMAAAP15','SKOLEMAAAP16'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).

cnf(45,negated_conjecture,
    part_of('SKOLEMAAAP15','SKOLEMAAAP14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).

cnf(46,negated_conjecture,
    part_of('SKOLEMAAAP16','SKOLEMAAAP14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).

cnf(47,negated_conjecture,
    end_point('SKOLEMAAAP17','SKOLEMAAAP14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).

cnf(51,plain,
    incident_c('SKOLEMAAAP8'(X),X),
    inference('HYPERRESOLVE',[status(thm)],[18,34]) ).

cnf(53,plain,
    ~ end_point('SKOLEMAAAP8'(X),X),
    inference('UR-RESOLVE',[status(thm)],[19,34]) ).

cnf(54,plain,
    incident_c('SKOLEMAAAP17','SKOLEMAAAP15'),
    inference('HYPERRESOLVE',[status(thm)],[21,44]) ).

cnf(55,plain,
    incident_c('SKOLEMAAAP17','SKOLEMAAAP16'),
    inference('HYPERRESOLVE',[status(thm)],[22,44]) ).

cnf(172,plain,
    ( part_of('SKOLEMAAAP16','SKOLEMAAAP15')
    | part_of('SKOLEMAAAP15','SKOLEMAAAP16') ),
    inference('HYPERRESOLVE',[status(thm)],[11,55,47,46,45,54]) ).

cnf(210,plain,
    ~ incident_c('SKOLEMAAAP8'('SKOLEMAAAP15'),'SKOLEMAAAP16'),
    inference('UR-RESOLVE',[status(thm)],[23,53,44,51]) ).

cnf(211,plain,
    ~ incident_c('SKOLEMAAAP8'('SKOLEMAAAP16'),'SKOLEMAAAP15'),
    inference('UR-RESOLVE',[status(thm)],[24,53,44,51]) ).

cnf(269,plain,
    ~ part_of('SKOLEMAAAP15','SKOLEMAAAP16'),
    inference('UR-RESOLVE',[status(thm)],[1,210,51]) ).

cnf(270,plain,
    part_of('SKOLEMAAAP16','SKOLEMAAAP15'),
    inference('REWRITE',[status(thm)],[172,269]) ).

cnf(281,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,270,51]),211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.10  % Command  : run-snark %s %d
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Fri Jun 17 16:05:46 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.14/0.39  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  * 
% 0.14/0.40  * 
% 0.14/0.40  #<PACKAGE "SNARK-USER">
% 0.14/0.40  * 
% 0.14/0.40  SNARK-TPTP-OPTIONS
% 0.14/0.40  * 
% 0.14/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.40   (USE-FACTORING :POS)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.40  * 
% 0.14/0.40  "."
% 0.14/0.40  * 
% 0.14/0.40  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:05:46
% 0.14/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-17T16:05:46
% 0.33/0.52  
% 0.33/0.52  
% 0.33/0.52  #||
% 0.33/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.52  % SZS output start Refutation
% See solution above
% 0.33/0.52  ||#
% 0.33/0.52  
% 0.33/0.52  ; Summary of computation:
% 0.33/0.52  ;      1407 formulas have been input or derived (from 77 formulas).
% 0.33/0.52  ;       281 (20%) were retained.  Of these,
% 0.33/0.52  ;           32 (11%) were simplified or subsumed later,
% 0.33/0.52  ;          249 (89%) are still being kept.
% 0.33/0.52  ; 
% 0.33/0.52  ; Run time in seconds excluding printing time:
% 0.33/0.52  ;     0.004   3%   Read assertion file          (1 call)
% 0.33/0.52  ;     0.002   2%   Assert                       (17 calls)
% 0.33/0.52  ;     0.015  13%   Process new row              (887 calls)
% 0.33/0.52  ;     0.045  39%   Resolution                   (152 calls)
% 0.33/0.52  ;     0.000   0%   Paramodulation               (76 calls)
% 0.33/0.52  ;     0.000   0%   Factoring                    (5 calls)
% 0.33/0.52  ;     0.003   3%   Condensing                   (293 calls)
% 0.33/0.52  ;     0.004   3%   Forward subsumption          (293 calls)
% 0.33/0.52  ;     0.003   3%   Backward subsumption         (174 calls)
% 0.33/0.52  ;     0.004   3%   Clause clause subsumption    (646 calls)
% 0.33/0.52  ;     0.008   7%   Forward simplification       (887 calls)
% 0.33/0.52  ;     0.004   3%   Backward simplification      (281 calls)
% 0.33/0.52  ;     0.002   2%   Ordering                     (1,203 calls)
% 0.33/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.33/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.33/0.52  ;     0.021  18%   Other
% 0.33/0.52  ;     0.115        Total
% 0.33/0.52  ;     0.117        Real time
% 0.33/0.52  ; 
% 0.35/0.52  ; Term-hash-array has 481 terms in all.
% 0.35/0.52  ; Feature-vector-row-index has 145 entries (146 at peak, 174 added, 29 deleted).
% 0.35/0.52  ; Feature-vector-row-index has 453 nodes (458 at peak, 565 added, 112 deleted).
% 0.35/0.52  ;  Retrieved 803 possibly forward subsuming rows in 293 calls.
% 0.35/0.52  ;  Retrieved 88 possibly backward subsumed rows in 174 calls.
% 0.35/0.52  ; Path-index has 448 entries (448 at peak, 507 added, 59 deleted).
% 0.35/0.52  ; Path-index has 806 nodes (806 at peak, 853 added, 47 deleted).
% 0.35/0.52  ; Trie-index has 448 entries (448 at peak, 507 added, 59 deleted).
% 0.35/0.52  ; Trie-index has 939 nodes (939 at peak, 1,047 added, 108 deleted).
% 0.35/0.52  ; Retrieved 910 generalization terms in 2,533 calls.
% 0.35/0.52  ; Retrieved 157 instance terms in 106 calls.
% 0.35/0.52  ; Retrieved 45,099 unifiable terms in 5,352 calls.
% 0.35/0.52  ; 
% 0.35/0.52  ; The agenda of rows to process has 62 entries:
% 0.35/0.52  ;     3 with value 10              1 with value 17               9 with value 29
% 0.35/0.52  ;     1 with value 11              4 with value 18               5 with value 34
% 0.35/0.52  ;     1 with value 14              2 with value 21               1 with value 41
% 0.35/0.52  ;     6 with value 15             29 with value 22
% 0.35/0.52  ; The agenda of rows to give has 172 entries:
% 0.35/0.52  ;     4 with value (4 7)           1 with value (4 17)           6 with value (4 32)
% 0.35/0.52  ;     5 with value (4 8)           4 with value (4 18)           6 with value (4 34)
% 0.35/0.52  ;    23 with value (4 9)           8 with value (4 19)           2 with value (4 38)
% 0.35/0.52  ;    19 with value (4 10)          3 with value (4 20)           3 with value (4 39)
% 0.35/0.52  ;     7 with value (4 11)          5 with value (4 21)           7 with value (4 40)
% 0.35/0.52  ;     6 with value (4 12)          1 with value (4 22)           6 with value (4 43)
% 0.35/0.52  ;     6 with value (4 13)          5 with value (4 26)           6 with value (4 46)
% 0.35/0.52  ;     6 with value (4 14)          4 with value (4 27)           1 with value (4 54)
% 0.35/0.52  ;     6 with value (4 15)          4 with value (4 29)           2 with value (4 55)
% 0.35/0.52  ;     6 with value (4 16)          4 with value (4 31)           6 with value (4 56)
% 0.35/0.52  Evaluation took:
% 0.35/0.52    0.118 seconds of real time
% 0.35/0.52    0.109211 seconds of user run time
% 0.35/0.52    0.008317 seconds of system run time
% 0.35/0.52    0 calls to %EVAL
% 0.35/0.52    0 page faults and
% 0.35/0.52    10,065,584 bytes consed.
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:05:46
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.52  * 
%------------------------------------------------------------------------------