TSTP Solution File: COM125+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Fri Jul 15 01:43:04 EDT 2022

% Result   : Theorem 16.39s 16.59s
% Output   : Refutation 16.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   8 unt;   2 nHn;   9 RR)
%            Number of literals    :   20 (   6 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   21 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(19,axiom,
    ( X != Y
    | Z != vabs(U,V,W)
    | ~ visFreeVar(X,Z)
    | Y != U ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).

cnf(23435,axiom,
    ( X = Y
    | visFreeVar(X,vabs(Y,Z,veabs))
    | ~ vtcheck(U,vabs(Y,Z,veabs),V)
    | vtcheck(vbind(X,W,U),vabs(Y,Z,veabs),V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).

cnf(23436,axiom,
    ( X != Y
    | visFreeVar(X,vabs(Y,Z,veabs))
    | ~ vtcheck(U,vabs(Y,Z,veabs),V)
    | vtcheck(vbind(X,W,U),vabs(Y,Z,veabs),V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).

cnf(23437,negated_conjecture,
    ~ visFreeVar('SKOLEMAAAV75',vabs('SKOLEMAAAV78','SKOLEMAAAV79',veabs)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).

cnf(23438,negated_conjecture,
    vtcheck('SKOLEMAAAV77',vabs('SKOLEMAAAV78','SKOLEMAAAV79',veabs),'SKOLEMAAAV80'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).

cnf(23439,negated_conjecture,
    ~ vtcheck(vbind('SKOLEMAAAV75','SKOLEMAAAV76','SKOLEMAAAV77'),vabs('SKOLEMAAAV78','SKOLEMAAAV79',veabs),'SKOLEMAAAV80'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).

cnf(23545,plain,
    ~ visFreeVar(X,vabs(X,Y,Z)),
    inference('UR-RESOLVE',[status(thm)],[19,theory(equality),theory(equality),theory(equality)]) ).

cnf(23609,plain,
    'SKOLEMAAAV75' = 'SKOLEMAAAV78',
    inference('UR-RESOLVE',[status(thm)],[23435,23437,23438,23439]) ).

cnf(23610,plain,
    vtcheck('SKOLEMAAAV77',vabs('SKOLEMAAAV75','SKOLEMAAAV79',veabs),'SKOLEMAAAV80'),
    inference('REWRITE',[status(thm)],[23438,23609,theory(equality)]) ).

cnf(23611,plain,
    ~ vtcheck(vbind('SKOLEMAAAV75','SKOLEMAAAV76','SKOLEMAAAV77'),vabs('SKOLEMAAAV75','SKOLEMAAAV79',veabs),'SKOLEMAAAV80'),
    inference('REWRITE',[status(thm)],[23439,23609,theory(equality)]) ).

cnf(23617,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[23436,23610,23611,theory(equality)]),23545]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 18:17:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T18:17:04
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-16T18:17:04
% 16.39/16.59  
% 16.39/16.59  
% 16.39/16.59  #||
% 16.39/16.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.39/16.59  % SZS output start Refutation
% See solution above
% 16.39/16.59  ||#
% 16.39/16.59  
% 16.39/16.59  ; Summary of computation:
% 16.39/16.59  ;     23866 formulas have been input or derived (from 93 formulas).
% 16.39/16.59  ;     23617 (99%) were retained.  Of these,
% 16.39/16.59  ;          623 ( 3%) were simplified or subsumed later,
% 16.39/16.59  ;        22994 (97%) are still being kept.
% 16.39/16.59  ; 
% 16.39/16.59  ; Run time in seconds excluding printing time:
% 16.39/16.59  ;     0.025   0%   Read assertion file          (1 call)
% 16.39/16.59  ;     0.716   4%   Assert                       (60 calls)
% 16.39/16.59  ;     2.789  17%   Process new row              (23,816 calls)
% 16.39/16.59  ;     2.017  13%   Resolution                   (184 calls)
% 16.39/16.59  ;     0.004   0%   Paramodulation               (92 calls)
% 16.39/16.59  ;     0.818   5%   Condensing                   (23,448 calls)
% 16.39/16.59  ;     5.676  35%   Forward subsumption          (23,448 calls)
% 16.39/16.59  ;     1.555  10%   Backward subsumption         (23,448 calls)
% 16.39/16.59  ;     1.154   7%   Clause clause subsumption    (121,408 calls)
% 16.39/16.59  ;     1.180   7%   Forward simplification       (23,815 calls)
% 16.39/16.59  ;     0.026   0%   Backward simplification      (23,617 calls)
% 16.39/16.59  ;     0.003   0%   Ordering                     (197 calls)
% 16.39/16.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 16.39/16.59  ;     0.040   0%   Purity testing               (1 call)
% 16.39/16.59  ;     0.101   1%   Other
% 16.39/16.59  ;    16.104        Total
% 16.39/16.59  ;    16.105        Real time
% 16.39/16.59  ; 
% 16.39/16.60  ; Term-hash-array has 873 terms in all.
% 16.39/16.60  ; Feature-vector-row-index has 22,848 entries (22,848 at peak, 23,448 added, 600 deleted).
% 16.39/16.60  ; Feature-vector-row-index has 142,702 nodes (143,344 at peak, 156,107 added, 13,405 deleted).
% 16.39/16.60  ;  Retrieved 127,040 possibly forward subsuming rows in 23,448 calls.
% 16.39/16.60  ;  Retrieved 67,535 possibly backward subsumed rows in 23,448 calls.
% 16.39/16.60  ; Path-index has 828 entries (828 at peak, 891 added, 63 deleted).
% 16.39/16.60  ; Path-index has 3,922 nodes (3,922 at peak, 3,968 added, 46 deleted).
% 16.39/16.60  ; Trie-index has 828 entries (828 at peak, 891 added, 63 deleted).
% 16.39/16.60  ; Trie-index has 3,377 nodes (3,377 at peak, 3,585 added, 208 deleted).
% 16.39/16.60  ; Retrieved 325 generalization terms in 155,886 calls.
% 16.39/16.60  ; Retrieved 185 instance terms in 168 calls.
% 16.39/16.60  ; Retrieved 72,192 unifiable terms in 1,455 calls.
% 16.39/16.60  ; 
% 16.39/16.60  ; The agenda of rows to process has 1 entry:
% 16.39/16.60  ;     1 with value 21
% 16.39/16.60  ; The agenda of input rows to give has 22749 entries:
% 16.39/16.60  ;     4 with value 34            236 with value 79             142 with value 123
% 16.39/16.60  ;     2 with value 35            624 with value 80             192 with value 124
% 16.39/16.60  ;     4 with value 36            295 with value 81             128 with value 125
% 16.39/16.60  ;    10 with value 37            611 with value 82             138 with value 126
% 16.39/16.60  ;     7 with value 38            303 with value 83              99 with value 127
% 16.39/16.60  ;     8 with value 39            425 with value 84             161 with value 128
% 16.39/16.60  ;     6 with value 40            450 with value 85              89 with value 129
% 16.39/16.60  ;     3 with value 41            439 with value 86             148 with value 130
% 16.39/16.60  ;     4 with value 42            458 with value 87              87 with value 131
% 16.39/16.60  ;    10 with value 43            356 with value 88             148 with value 132
% 16.39/16.60  ;     7 with value 44            474 with value 89              73 with value 133
% 16.39/16.60  ;     6 with value 45            476 with value 90             136 with value 134
% 16.39/16.60  ;     4 with value 46            338 with value 91              49 with value 135
% 16.39/16.60  ;    10 with value 47            448 with value 92             129 with value 136
% 16.39/16.60  ;     6 with value 48            316 with value 93              49 with value 137
% 16.39/16.60  ;     6 with value 49            440 with value 94             105 with value 138
% 16.39/16.60  ;     5 with value 50            302 with value 95              43 with value 139
% 16.39/16.60  ;     7 with value 51            395 with value 96              79 with value 140
% 16.39/16.60  ;     6 with value 52            350 with value 97              37 with value 141
% 16.39/16.60  ;     4 with value 53            443 with value 98              84 with value 142
% 16.39/16.60  ;     3 with value 54            348 with value 99              33 with value 143
% 16.39/16.60  ;     3 with value 55            499 with value 100             72 with value 144
% 16.39/16.60  ;     3 with value 56            279 with value 101             27 with value 145
% 16.39/16.60  ;     3 with value 57            516 with value 102             80 with value 146
% 16.39/16.60  ;     1 with value 58            173 with value 103             17 with value 147
% 16.39/16.60  ;     2 with value 59            583 with value 104             60 with value 148
% 16.39/16.60  ;     7 with value 60            124 with value 105             19 with value 149
% 16.39/16.60  ;     2 with value 61            506 with value 106             41 with value 150
% 16.39/16.60  ;    98 with value 62            169 with value 107             18 with value 151
% 16.39/16.60  ;     3 with value 63            540 with value 108             15 with value 152
% 16.39/16.60  ;   137 with value 64            194 with value 109             14 with value 153
% 16.39/16.60  ;    17 with value 65            435 with value 110             29 with value 154
% 16.39/16.60  ;   362 with value 66            205 with value 111              6 with value 155
% 16.39/16.60  ;   372 with value 68            457 with value 112             32 with value 156
% 16.39/16.60  ;    73 with value 69            173 with value 113              2 with value 157
% 16.39/16.60  ;   525 with value 70            350 with value 114             34 with value 158
% 16.39/16.60  ;    90 with value 71            132 with value 115             20 with value 160
% 16.39/16.60  ;   380 with value 72            392 with value 116             11 with value 162
% 16.39/16.60  ;   184 with value 73            124 with value 117              3 with value 164
% 16.39/16.60  ;   542 with value 74            304 with value 118             13 with value 166
% 16.39/16.60  ;   235 with value 75            159 with value 119             16 with value 168
% 16.39/16.60  ;   453 with value 76            303 with value 120             14 with value 170
% 16.39/16.60  ;   260 with value 77            159 with value 121              6 with value 172
% 16.39/16.60  ;   669 with value 78            203 with value 122              2 with value 174
% 16.39/16.60  ; The agenda of rows to give has 155 entries:
% 16.39/16.60  ;     2 with value (4 4)          23 with value (4 14)           1 with value (4 25)
% 16.39/16.60  ;     1 with value (4 5)           8 with value (4 15)           1 with value (4 27)
% 16.39/16.60  ;     3 with value (4 6)          21 with value (4 16)           1 with value (4 30)
% 16.39/16.60  ;     3 with value (4 7)           9 with value (4 17)           2 with value (4 31)
% 16.39/16.60  ;     5 with value (4 8)          10 with value (4 18)           1 with value (4 32)
% 16.39/16.60  ;     6 with value (4 9)           2 with value (4 19)           2 with value (4 34)
% 16.39/16.60  ;     7 with value (4 10)          5 with value (4 20)           1 with value (4 35)
% 16.39/16.60  ;     5 with value (4 11)          1 with value (4 21)           4 with value (4 37)
% 16.39/16.60  ;    16 with value (4 12)          3 with value (4 22)           1 with value (4 38)
% 16.39/16.60  ;     9 with value (4 13)          1 with value (4 23)           1 with value (4 40)
% 16.39/16.60  Evaluation took:
% 16.39/16.60    16.12 seconds of real time
% 16.39/16.60    15.409 seconds of user run time
% 16.39/16.60    0.712771 seconds of system run time
% 16.39/16.60    [Run times include 1.434 seconds GC run time.]
% 16.39/16.60    0 calls to %EVAL
% 16.39/16.60    0 page faults and
% 16.39/16.60    1,536,288,040 bytes consed.
% 16.39/16.60  :PROOF-FOUND
% 16.39/16.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T18:17:20
% 16.39/16.60  :PROOF-FOUND
% 16.39/16.60  * 
%------------------------------------------------------------------------------