TSTP Solution File: GEO305+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO305+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 06:15:44 EDT 2022

% Result   : Theorem 171.35s 171.54s
% Output   : Refutation 171.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   16 (  15 unt;   0 nHn;  16 RR)
%            Number of literals    :   27 (   7 equ;  12 neg)
%            Maximal clause size   :   12 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ ron(vd1302,vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).

cnf(4,axiom,
    vd1302 = vd1303,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

cnf(5,axiom,
    rR(vd1289,vd1287,vd1302),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

cnf(6,axiom,
    rpoint(vd1303),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

cnf(7,plain,
    rpoint(vd1302),
    inference('REWRITE',[status(thm)],[6,4,theory(equality)]) ).

cnf(11,axiom,
    ron(vd1289,vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).

cnf(12,axiom,
    ron(vd1287,vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).

cnf(13,axiom,
    rline(vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).

cnf(21,axiom,
    vd1289 = 'SKOLEMAAAV1',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

cnf(22,axiom,
    rpoint('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

cnf(23,plain,
    rpoint(vd1289),
    inference('REWRITE',[status(thm)],[22,21,theory(equality)]) ).

cnf(27,axiom,
    vd1287 = 'SKOLEMAAAV3',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

cnf(28,axiom,
    rpoint('SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

cnf(29,plain,
    rpoint(vd1287),
    inference('REWRITE',[status(thm)],[28,27,theory(equality)]) ).

cnf(30,axiom,
    ( X != Y
    | ~ ron(Z,X)
    | ~ ron(U,X)
    | ~ rR(Z,U,V)
    | ~ rline(Y)
    | V != W
    | ~ rpoint(W)
    | Z != X1
    | ~ rpoint(X1)
    | U != Y1
    | ~ rpoint(Y1)
    | ron(V,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

cnf(8410,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[30,11,12,5,13,7,23,29,1,theory(equality),theory(equality),theory(equality),theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO305+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n021.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 10:54:16 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:54:16
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T10:54:16
% 0.20/0.61  WARNING:
% 0.20/0.61     |rtriangle| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.61  WARNING:
% 0.20/0.61     |rleq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.61  WARNING:
% 0.20/0.61     |rgeq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 171.35/171.54  
% 171.35/171.54  
% 171.35/171.54  #||
% 171.35/171.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.35/171.54  % SZS output start Refutation
% See solution above
% 171.35/171.55  ||#
% 171.35/171.55  
% 171.35/171.55  ; Summary of computation:
% 171.35/171.55  ;    266216 formulas have been input or derived (from 169 formulas).
% 171.35/171.55  ;      8410 ( 3%) were retained.  Of these,
% 171.35/171.55  ;          440 ( 5%) were simplified or subsumed later,
% 171.35/171.55  ;         7970 (95%) are still being kept.
% 171.35/171.55  ; 
% 171.35/171.55  ; Run time in seconds excluding printing time:
% 171.35/171.55  ;     0.078   0%   Read assertion file          (1 call)
% 171.35/171.55  ;     0.047   0%   Assert                       (125 calls)
% 171.35/171.55  ;     0.810   0%   Process new row              (266,136 calls)
% 171.35/171.55  ;   166.756  97%   Resolution                   (336 calls)
% 171.35/171.55  ;     0.002   0%   Paramodulation               (168 calls)
% 171.35/171.55  ;     0.078   0%   Condensing                   (3,523 calls)
% 171.35/171.55  ;     0.096   0%   Forward subsumption          (3,523 calls)
% 171.35/171.55  ;     0.008   0%   Backward subsumption         (714 calls)
% 171.35/171.55  ;     0.045   0%   Clause clause subsumption    (4,276 calls)
% 171.35/171.55  ;     2.249   1%   Forward simplification       (266,123 calls)
% 171.35/171.55  ;     0.143   0%   Backward simplification      (8,395 calls)
% 171.35/171.55  ;     0.005   0%   Ordering                     (1,913 calls)
% 171.35/171.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 171.35/171.55  ;     0.002   0%   Purity testing               (1 call)
% 171.35/171.55  ;     0.737   0%   Other
% 171.35/171.55  ;   171.056        Total
% 171.35/171.55  ;   171.069        Real time
% 171.35/171.55  ; 
% 171.35/171.55  ; Term-hash-array has 11,292 terms in all.
% 171.35/171.55  ; Feature-vector-row-index has 674 entries (674 at peak, 714 added, 40 deleted).
% 171.35/171.55  ; Feature-vector-row-index has 2,180 nodes (2,180 at peak, 2,240 added, 60 deleted).
% 171.35/171.55  ;  Retrieved 7,629 possibly forward subsuming rows in 3,523 calls.
% 171.35/171.55  ;  Retrieved 599 possibly backward subsumed rows in 714 calls.
% 171.35/171.55  ; Path-index has 10,923 entries (10,923 at peak, 11,426 added, 503 deleted).
% 171.35/171.55  ; Path-index has 3,507 nodes (3,507 at peak, 3,539 added, 32 deleted).
% 171.35/171.55  ; Trie-index has 10,923 entries (10,923 at peak, 11,426 added, 503 deleted).
% 171.35/171.55  ; Trie-index has 17,484 nodes (17,484 at peak, 18,290 added, 806 deleted).
% 171.35/171.55  ; Retrieved 261,173 generalization terms in 400,037 calls.
% 171.35/171.55  ; Retrieved 7,680 instance terms in 7,680 calls.
% 171.35/171.55  ; Retrieved 503,164,456 unifiable terms in 5,886,895 calls.
% 171.35/171.55  ; 
% 171.35/171.55  ; The agenda of rows to process has 37 entries:
% 171.35/171.55  ;     7 with value 4              26 with value 5                4 with value 6
% 171.35/171.55  ; The agenda of input rows to give has 107 entries:
% 171.35/171.55  ;     4 with value 45              1 with value 61               7 with value 102
% 171.35/171.55  ;     1 with value 46              3 with value 63               1 with value 105
% 171.35/171.55  ;     1 with value 47              1 with value 65               1 with value 106
% 171.35/171.55  ;     2 with value 48              2 with value 66               1 with value 113
% 171.35/171.55  ;     2 with value 49              2 with value 67               1 with value 118
% 171.35/171.55  ;     3 with value 50              1 with value 68               3 with value 173
% 171.35/171.55  ;     3 with value 51              1 with value 77               2 with value 174
% 171.35/171.55  ;     9 with value 52              1 with value 84               5 with value 175
% 171.35/171.55  ;     4 with value 53              2 with value 85               2 with value 176
% 171.35/171.55  ;     5 with value 54              1 with value 88               2 with value 177
% 171.35/171.55  ;     3 with value 55              1 with value 96               3 with value 196
% 171.35/171.55  ;     2 with value 56              1 with value 98               3 with value 198
% 171.35/171.55  ;     4 with value 57              1 with value 99               3 with value 215
% 171.35/171.55  ;     1 with value 58              5 with value 100              3 with value 217
% 171.35/171.55  ;     1 with value 59              2 with value 101
% 171.35/171.55  ; The agenda of rows to give has 7694 entries:
% 171.35/171.55  ;     3 with value (4 5)          56 with value (4 11)          20 with value (4 19)
% 171.35/171.55  ;   109 with value (4 6)         403 with value (4 12)          42 with value (4 20)
% 171.35/171.55  ;   111 with value (4 7)          60 with value (4 13)          42 with value (4 21)
% 171.35/171.55  ;   497 with value (4 8)          22 with value (4 15)          20 with value (4 23)
% 171.35/171.55  ;  2132 with value (4 9)          53 with value (4 16)           4 with value (4 36)
% 171.35/171.55  ;  4077 with value (4 10)         42 with value (4 17)           1 with value (4 44)
% 171.35/171.55  Evaluation took:
% 171.35/171.55    171.071 seconds of real time
% 171.35/171.55    169.75671 seconds of user run time
% 171.35/171.55    1.305014 seconds of system run time
% 171.35/171.55    [Run times include 3.309 seconds GC run time.]
% 171.35/171.55    0 calls to %EVAL
% 171.35/171.55    0 page faults and
% 171.35/171.55    7,242,773,136 bytes consed.
% 171.35/171.55  :PROOF-FOUND
% 171.35/171.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:57:08
% 171.35/171.55  :PROOF-FOUND
% 171.35/171.55  * 
%------------------------------------------------------------------------------