TSTP Solution File: GEO082-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO082-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 06:13:43 EDT 2022

% Result   : Unsatisfiable 35.42s 35.67s
% Output   : Refutation 35.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   5 unt;   5 nHn;   8 RR)
%            Number of literals    :   26 (   9 equ;   7 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(part_of_defn_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_1) ).

cnf(sum_defn_7,axiom,
    ( incident_c(ax0_sk2(X,Y,Z),Z)
    | incident_c(ax0_sk2(X,Y,Z),Y)
    | incident_c(ax0_sk2(X,Y,Z),X)
    | Z = sum(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_7) ).

cnf(sum_defn_11,axiom,
    ( ~ incident_c(ax0_sk2(X,Y,Z),Y)
    | ~ incident_c(ax0_sk2(X,Y,Z),Z)
    | Z = sum(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_11) ).

cnf(sum_defn_12,axiom,
    ( ~ incident_c(ax0_sk2(X,Y,Z),X)
    | ~ incident_c(ax0_sk2(X,Y,Z),Z)
    | Z = sum(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_12) ).

cnf(part_of_antisymmetry_67,negated_conjecture,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).

cnf(part_of_antisymmetry_68,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).

cnf(part_of_antisymmetry_69,negated_conjecture,
    sk14 != sk15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).

cnf(86,plain,
    ( incident_c(ax0_sk2(X,Y,X),Y)
    | X = sum(Y,X) ),
    inference('HYPERRESOLVE',[status(thm)],[sum_defn_12,sum_defn_7,sum_defn_7]) ).

cnf(87,plain,
    ( incident_c(ax0_sk2(X,Y,Y),X)
    | Y = sum(Y,X) ),
    inference('HYPERRESOLVE',[status(thm)],[sum_defn_11,sum_defn_7,sum_defn_7]) ).

cnf(14540,plain,
    ( X = sum(sk15,X)
    | incident_c(ax0_sk2(X,sk15,X),sk14) ),
    inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,86,part_of_antisymmetry_68]) ).

cnf(14558,plain,
    ( X = sum(X,sk14)
    | incident_c(ax0_sk2(sk14,X,X),sk15) ),
    inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,87,part_of_antisymmetry_67]) ).

cnf(52225,plain,
    sk14 = sum(sk15,sk14),
    inference('HYPERRESOLVE',[status(thm)],[sum_defn_12,14540,14540]) ).

cnf(52247,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sum_defn_12,14558,87]),part_of_antisymmetry_69,52225,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO082-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n022.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 00:06:02 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 2022-06-18T00:06:02
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T00:06:02
% 35.42/35.67  
% 35.42/35.67  
% 35.42/35.67  #||
% 35.42/35.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.42/35.67  % SZS output start Refutation
% See solution above
% 35.42/35.68  ||#
% 35.42/35.68  
% 35.42/35.68  ; Summary of computation:
% 35.42/35.68  ;    116496 formulas have been input or derived (from 696 formulas).
% 35.42/35.68  ;     52247 (45%) were retained.  Of these,
% 35.42/35.68  ;         3764 ( 7%) were simplified or subsumed later,
% 35.42/35.68  ;        48483 (93%) are still being kept.
% 35.42/35.68  ; 
% 35.42/35.68  ; Run time in seconds excluding printing time:
% 35.42/35.68  ;     0.011   0%   Read assertion file          (1 call)
% 35.42/35.68  ;     0.002   0%   Assert                       (51 calls)
% 35.42/35.68  ;     7.210  20%   Process new row              (106,766 calls)
% 35.42/35.68  ;    13.300  38%   Resolution                   (1,390 calls)
% 35.42/35.68  ;     0.099   0%   Paramodulation               (695 calls)
% 35.42/35.68  ;     0.000   0%   Factoring                    (49 calls)
% 35.42/35.68  ;     0.215   1%   Condensing                   (22,774 calls)
% 35.42/35.68  ;     4.559  13%   Forward subsumption          (22,774 calls)
% 35.42/35.68  ;     1.536   4%   Backward subsumption         (12,908 calls)
% 35.42/35.68  ;     1.058   3%   Clause clause subsumption    (413,042 calls)
% 35.42/35.68  ;     4.861  14%   Forward simplification       (106,596 calls)
% 35.42/35.68  ;     1.853   5%   Backward simplification      (52,247 calls)
% 35.42/35.68  ;     0.057   0%   Ordering                     (37,332 calls)
% 35.42/35.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 35.42/35.68  ;     0.000   0%   Purity testing               (1 call)
% 35.42/35.68  ;     0.446   1%   Other
% 35.42/35.68  ;    35.207        Total
% 35.42/35.68  ;    35.210        Real time
% 35.42/35.68  ; 
% 35.42/35.68  ; Term-hash-array has 89,371 terms in all.
% 35.42/35.68  ; Feature-vector-row-index has 12,056 entries (12,056 at peak, 12,908 added, 852 deleted).
% 35.42/35.68  ; Feature-vector-row-index has 20,731 nodes (20,731 at peak, 22,365 added, 1,634 deleted).
% 35.42/35.68  ;  Retrieved 605,393 possibly forward subsuming rows in 22,774 calls.
% 35.42/35.68  ;  Retrieved 148,623 possibly backward subsumed rows in 12,908 calls.
% 35.42/35.68  ; Path-index has 83,757 entries (83,757 at peak, 90,476 added, 6,719 deleted).
% 35.42/35.68  ; Path-index has 65,875 nodes (65,875 at peak, 66,389 added, 514 deleted).
% 35.42/35.68  ; Trie-index has 83,757 entries (83,757 at peak, 90,476 added, 6,719 deleted).
% 35.42/35.68  ; Trie-index has 580,310 nodes (580,310 at peak, 615,170 added, 34,860 deleted).
% 35.42/35.68  ; Retrieved 1,357,755 generalization terms in 451,050 calls.
% 35.42/35.68  ; Retrieved 121,013 instance terms in 39,338 calls.
% 35.42/35.68  ; Retrieved 12,543,551 unifiable terms in 273,983 calls.
% 35.42/35.68  ; 
% 35.42/35.68  ; The agenda of rows to process has 61 entries:
% 35.42/35.68  ;     3 with value 18              1 with value 26               2 with value 32
% 35.42/35.68  ;     2 with value 19              1 with value 27               1 with value 34
% 35.42/35.68  ;     6 with value 20              3 with value 28               4 with value 37
% 35.42/35.68  ;     3 with value 21              2 with value 29               8 with value 39
% 35.42/35.68  ;     2 with value 22              2 with value 30               2 with value 42
% 35.42/35.68  ;     3 with value 25             16 with value 31
% 35.42/35.68  ; The agenda of rows to give has 47791 entries:
% 35.42/35.68  ;    81 with value (4 17)       2169 with value (4 40)         256 with value (4 64)
% 35.42/35.68  ;   379 with value (4 18)       1960 with value (4 41)         640 with value (4 65)
% 35.42/35.68  ;   476 with value (4 19)       1590 with value (4 42)           2 with value (4 66)
% 35.42/35.68  ;   594 with value (4 20)        211 with value (4 43)          56 with value (4 67)
% 35.42/35.68  ;   685 with value (4 21)       1857 with value (4 44)         164 with value (4 68)
% 35.42/35.68  ;   598 with value (4 22)        629 with value (4 45)         106 with value (4 69)
% 35.42/35.68  ;   445 with value (4 23)        866 with value (4 46)           2 with value (4 70)
% 35.42/35.68  ;   549 with value (4 24)        410 with value (4 47)          92 with value (4 71)
% 35.42/35.68  ;   369 with value (4 25)       1277 with value (4 48)          38 with value (4 72)
% 35.42/35.68  ;   345 with value (4 26)        768 with value (4 49)         360 with value (4 73)
% 35.42/35.68  ;  1094 with value (4 27)        484 with value (4 50)          32 with value (4 75)
% 35.42/35.68  ;  1222 with value (4 28)        338 with value (4 51)           4 with value (4 78)
% 35.42/35.68  ;  1232 with value (4 29)        410 with value (4 52)          64 with value (4 79)
% 35.42/35.68  ;  2505 with value (4 30)        102 with value (4 53)         256 with value (4 80)
% 35.42/35.68  ;  1814 with value (4 31)       1078 with value (4 54)          72 with value (4 84)
% 35.42/35.68  ;   747 with value (4 32)         42 with value (4 55)          64 with value (4 88)
% 35.42/35.68  ;  1415 with value (4 33)         56 with value (4 56)          32 with value (4 89)
% 35.42/35.68  ;  2862 with value (4 34)        132 with value (4 57)          32 with value (4 96)
% 35.42/35.68  ;  2371 with value (4 35)        752 with value (4 58)         144 with value (4 97)
% 35.42/35.68  ;  2851 with value (4 36)        312 with value (4 59)          64 with value (4 105)
% 35.42/35.68  ;  1696 with value (4 37)        444 with value (4 60)         128 with value (4 107)
% 35.42/35.68  ;  2291 with value (4 38)        552 with value (4 61)          64 with value (4 108)
% 35.42/35.68  ;  1723 with value (4 39)         80 with value (4 63)         256 with value (4 116)
% 35.42/35.68  Evaluation took:
% 35.42/35.68    35.217 seconds of real time
% 35.42/35.68    33.162853 seconds of user run time
% 35.42/35.68    2.05114 seconds of system run time
% 35.42/35.68    [Run times include 7.673 seconds GC run time.]
% 35.42/35.68    0 calls to %EVAL
% 35.42/35.68    0 page faults and
% 35.42/35.68    1,987,513,184 bytes consed.
% 35.42/35.68  :PROOF-FOUND
% 35.42/35.68  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:06:37
% 35.42/35.68  :PROOF-FOUND
% 35.42/35.68  * 
%------------------------------------------------------------------------------