TSTP Solution File: GEO274+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO274+1 : TPTP v8.1.0. Released v4.1.0.
% 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 06:15:37 EDT 2022

% Result   : Theorem 41.52s 41.72s
% Output   : Refutation 41.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   23 (  20 unt;   1 nHn;  23 RR)
%            Number of literals    :   46 (  22 equ;  25 neg)
%            Maximal clause size   :   14 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ron(vd1089,'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).

cnf(2,negated_conjecture,
    ron(vd1080,'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).

cnf(3,negated_conjecture,
    rline('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).

cnf(4,negated_conjecture,
    'SKOLEMAAAV1' != vd1092,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).

cnf(5,axiom,
    ron(vd1089,vd1092),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).

cnf(6,axiom,
    ron(vd1080,vd1092),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).

cnf(7,axiom,
    rline(vd1092),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).

cnf(8,axiom,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).

cnf(11,axiom,
    rpoint(vd1089),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(226, 0)') ).

cnf(12,axiom,
    vd1085 = vd1086,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 4)') ).

cnf(13,axiom,
    vd1085 != vd1080,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).

cnf(14,axiom,
    rpoint(vd1086),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 1)') ).

cnf(15,plain,
    rpoint(vd1085),
    inference('REWRITE',[status(thm)],[14,12,theory(equality)]) ).

cnf(16,axiom,
    vd1080 = 'SKOLEMAAAV2',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).

cnf(17,axiom,
    rpoint('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).

cnf(18,plain,
    rpoint(vd1080),
    inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).

cnf(20,axiom,
    ( X != Y
    | ~ rpoint(Y)
    | Z != U
    | ~ rpoint(U)
    | vf(Z,X) != v0
    | Z = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

cnf(21,axiom,
    ( X != Y
    | ~ rpoint(Y)
    | Z != U
    | ~ rpoint(U)
    | vf(Z,X) = v0
    | Z != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

cnf(125,axiom,
    ( ~ ron(X,Y)
    | ~ ron(X,Z)
    | ~ ron(U,Y)
    | ~ ron(U,Z)
    | Y != V
    | ~ rline(V)
    | Z != W
    | ~ rline(W)
    | X = U
    | X != X1
    | ~ rpoint(X1)
    | Y1 != U
    | ~ rpoint(Y1)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

cnf(529,plain,
    vf(vd1085,vd1080) != v0,
    inference('UR-RESOLVE',[status(thm)],[20,18,15,13,theory(equality),theory(equality)]) ).

cnf(536,plain,
    vf(vd1080,vd1080) = v0,
    inference('HYPERRESOLVE',[status(thm)],[21,18,18,theory(equality),theory(equality),theory(equality)]) ).

cnf(4328,plain,
    vd1089 = vd1080,
    inference('UR-RESOLVE',[status(thm)],[125,5,1,6,2,7,3,11,18,4,theory(equality),theory(equality),theory(equality),theory(equality)]) ).

cnf(4329,plain,
    $false,
    inference('REWRITE',[status(thm)],[8,529,536,4328,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO274+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 13:04:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:04:28
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T13:04:28
% 0.43/0.61  WARNING:
% 0.43/0.61     |rtriangle| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61  WARNING:
% 0.43/0.61     |rleq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61  WARNING:
% 0.43/0.61     |rgeq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 41.52/41.72  
% 41.52/41.72  
% 41.52/41.72  #||
% 41.52/41.72  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.52/41.72  % SZS output start Refutation
% See solution above
% 41.52/41.72  ||#
% 41.52/41.72  
% 41.52/41.72  ; Summary of computation:
% 41.52/41.72  ;     49281 formulas have been input or derived (from 184 formulas).
% 41.52/41.72  ;      4329 ( 9%) were retained.  Of these,
% 41.52/41.72  ;         2427 (56%) were simplified or subsumed later,
% 41.52/41.72  ;         1902 (44%) are still being kept.
% 41.52/41.72  ; 
% 41.52/41.72  ; Run time in seconds excluding printing time:
% 41.52/41.72  ;     0.069   0%   Read assertion file          (1 call)
% 41.52/41.72  ;     0.032   0%   Assert                       (117 calls)
% 41.52/41.72  ;     0.296   1%   Process new row              (47,079 calls)
% 41.52/41.72  ;    40.035  97%   Resolution                   (366 calls)
% 41.52/41.72  ;     0.002   0%   Paramodulation               (183 calls)
% 41.52/41.72  ;     0.066   0%   Condensing                   (817 calls)
% 41.52/41.72  ;     0.022   0%   Forward subsumption          (817 calls)
% 41.52/41.72  ;     0.005   0%   Backward subsumption         (461 calls)
% 41.52/41.72  ;     0.037   0%   Clause clause subsumption    (937 calls)
% 41.52/41.72  ;     0.388   1%   Forward simplification       (47,066 calls)
% 41.52/41.72  ;     0.106   0%   Backward simplification      (4,315 calls)
% 41.52/41.72  ;     0.001   0%   Ordering                     (954 calls)
% 41.52/41.72  ;     0.000   0%   Sortal reasoning             (32 calls)
% 41.52/41.72  ;     0.001   0%   Purity testing               (1 call)
% 41.52/41.72  ;     0.162   0%   Other
% 41.52/41.72  ;    41.222        Total
% 41.52/41.72  ;    41.225        Real time
% 41.52/41.72  ; 
% 41.52/41.72  ; Term-hash-array has 5,964 terms in all.
% 41.52/41.72  ; Feature-vector-row-index has 327 entries (455 at peak, 461 added, 134 deleted).
% 41.52/41.72  ; Feature-vector-row-index has 1,163 nodes (1,689 at peak, 1,713 added, 550 deleted).
% 41.52/41.72  ;  Retrieved 973 possibly forward subsuming rows in 817 calls.
% 41.52/41.72  ;  Retrieved 216 possibly backward subsumed rows in 461 calls.
% 41.52/41.72  ; Path-index has 2,875 entries (5,736 at peak, 6,040 added, 3,165 deleted).
% 41.52/41.72  ; Path-index has 2,922 nodes (3,081 at peak, 3,108 added, 186 deleted).
% 41.52/41.72  ; Trie-index has 2,875 entries (5,736 at peak, 6,040 added, 3,165 deleted).
% 41.52/41.72  ; Trie-index has 5,424 nodes (9,796 at peak, 10,310 added, 4,886 deleted).
% 41.52/41.72  ; Retrieved 44,019 generalization terms in 73,966 calls.
% 41.52/41.72  ; Retrieved 3,853 instance terms in 3,853 calls.
% 41.52/41.72  ; Retrieved 100,634,233 unifiable terms in 1,726,975 calls.
% 41.52/41.72  ; 
% 41.52/41.72  ; The agenda of backward simplifiable rows to process has 1878 entries:
% 41.52/41.72  ;  1878 with value 0
% 41.52/41.72  ; The agenda of rows to process has 20 entries:
% 41.52/41.72  ;     4 with value 5              16 with value 9
% 41.52/41.72  ; The agenda of input rows to give has 70 entries:
% 41.52/41.72  ;     3 with value 52              1 with value 68               1 with value 113
% 41.52/41.72  ;     4 with value 53              1 with value 77               1 with value 118
% 41.52/41.72  ;     5 with value 54              1 with value 84               3 with value 173
% 41.52/41.72  ;     3 with value 55              2 with value 85               2 with value 174
% 41.52/41.72  ;     2 with value 56              1 with value 88               5 with value 175
% 41.52/41.72  ;     3 with value 57              1 with value 96               2 with value 176
% 41.52/41.72  ;     1 with value 58              1 with value 98               2 with value 177
% 41.52/41.72  ;     1 with value 61              2 with value 100              3 with value 196
% 41.52/41.72  ;     2 with value 63              1 with value 102              3 with value 198
% 41.52/41.72  ;     1 with value 65              1 with value 105              3 with value 215
% 41.52/41.72  ;     2 with value 66              1 with value 106              3 with value 217
% 41.52/41.72  ;     2 with value 67
% 41.52/41.72  ; The agenda of rows to give has 1653 entries:
% 41.52/41.72  ;     6 with value (4 5)         724 with value (4 10)          12 with value (4 15)
% 41.52/41.72  ;    42 with value (4 6)          24 with value (4 11)          18 with value (4 16)
% 41.52/41.72  ;    48 with value (4 7)          93 with value (4 12)           6 with value (4 19)
% 41.52/41.72  ;   164 with value (4 8)          12 with value (4 13)           6 with value (4 23)
% 41.52/41.72  ;   498 with value (4 9)
% 41.52/41.72  Evaluation took:
% 41.52/41.72    41.226 seconds of real time
% 41.52/41.72    40.906487 seconds of user run time
% 41.52/41.72    0.317477 seconds of system run time
% 41.52/41.72    [Run times include 0.79 seconds GC run time.]
% 41.52/41.72    0 calls to %EVAL
% 41.52/41.72    0 page faults and
% 41.52/41.72    1,773,081,288 bytes consed.
% 41.52/41.72  :PROOF-FOUND
% 41.52/41.72  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:05:09
% 41.52/41.72  :PROOF-FOUND
% 41.52/41.72  * 
%------------------------------------------------------------------------------