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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM130+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 01:43:05 EDT 2022

% Result   : Theorem 18.57s 18.79s
% Output   : Refutation 18.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   9 unt;   2 nHn;  12 RR)
%            Number of literals    :   24 (  11 equ;  13 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   27 (   7 sgn)

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

cnf(92,axiom,
    ( X != Y
    | Z != U
    | V != vabs(W,X1,Y1)
    | Y != W
    | Z1 != vsubst(X,Z,V)
    | Z1 = vabs(W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).

cnf(23433,axiom,
    ( visFreeVar(X,Y)
    | ~ vtcheck(vbind(X,Z,U),Y,V)
    | vtcheck(U,Y,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong') ).

cnf(23436,negated_conjecture,
    'SKOLEMAAAV77' = 'SKOLEMAAAV79',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-1') ).

cnf(23438,negated_conjecture,
    vtcheck(vbind('SKOLEMAAAV77','SKOLEMAAAV75','SKOLEMAAAV76'),vabs('SKOLEMAAAV79','SKOLEMAAAV80','SKOLEMAAAV81'),'SKOLEMAAAV82'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-1') ).

cnf(23439,plain,
    vtcheck(vbind('SKOLEMAAAV77','SKOLEMAAAV75','SKOLEMAAAV76'),vabs('SKOLEMAAAV77','SKOLEMAAAV80','SKOLEMAAAV81'),'SKOLEMAAAV82'),
    inference('REWRITE',[status(thm)],[23438,23436,theory(equality)]) ).

cnf(23440,negated_conjecture,
    ~ vtcheck('SKOLEMAAAV76',vsubst('SKOLEMAAAV77','SKOLEMAAAV78',vabs('SKOLEMAAAV79','SKOLEMAAAV80','SKOLEMAAAV81')),'SKOLEMAAAV82'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-1') ).

cnf(23441,plain,
    ~ vtcheck('SKOLEMAAAV76',vsubst('SKOLEMAAAV77','SKOLEMAAAV78',vabs('SKOLEMAAAV77','SKOLEMAAAV80','SKOLEMAAAV81')),'SKOLEMAAAV82'),
    inference('REWRITE',[status(thm)],[23440,23436,theory(equality)]) ).

cnf(23545,plain,
    ( visFreeVar('SKOLEMAAAV77',vabs('SKOLEMAAAV77','SKOLEMAAAV80','SKOLEMAAAV81'))
    | vtcheck('SKOLEMAAAV76',vabs('SKOLEMAAAV77','SKOLEMAAAV80','SKOLEMAAAV81'),'SKOLEMAAAV82') ),
    inference('HYPERRESOLVE',[status(thm)],[23433,23439]) ).

cnf(23549,plain,
    ~ visFreeVar(X,vabs(X,Y,Z)),
    inference('UR-RESOLVE',[status(thm)],[19,theory(equality),theory(equality),theory(equality)]) ).

cnf(23550,plain,
    vtcheck('SKOLEMAAAV76',vabs('SKOLEMAAAV77','SKOLEMAAAV80','SKOLEMAAAV81'),'SKOLEMAAAV82'),
    inference('REWRITE',[status(thm)],[23545,23549]) ).

cnf(23619,plain,
    vsubst(X,Y,vabs(X,Z,U)) = vabs(X,Z,U),
    inference('HYPERRESOLVE',[status(thm)],[92,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]) ).

cnf(23620,plain,
    $false,
    inference('REWRITE',[status(thm)],[23441,23550,23619,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM130+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 16 18:41:51 EDT 2022
% 0.14/0.35  % 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 2022-06-16T18:41:51
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-16T18:41:51
% 18.57/18.79  
% 18.57/18.79  
% 18.57/18.79  #||
% 18.57/18.79  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.57/18.79  % SZS output start Refutation
% See solution above
% 18.57/18.79  ||#
% 18.57/18.79  
% 18.57/18.79  ; Summary of computation:
% 18.57/18.79  ;     24366 formulas have been input or derived (from 101 formulas).
% 18.57/18.79  ;     23620 (97%) were retained.  Of these,
% 18.57/18.79  ;          622 ( 3%) were simplified or subsumed later,
% 18.57/18.79  ;        22998 (97%) are still being kept.
% 18.57/18.79  ; 
% 18.57/18.79  ; Run time in seconds excluding printing time:
% 18.57/18.79  ;     0.024   0%   Read assertion file          (1 call)
% 18.57/18.79  ;     0.715   4%   Assert                       (59 calls)
% 18.57/18.79  ;     2.797  15%   Process new row              (24,255 calls)
% 18.57/18.79  ;     4.185  23%   Resolution                   (200 calls)
% 18.57/18.79  ;     0.002   0%   Paramodulation               (100 calls)
% 18.57/18.79  ;     0.795   4%   Condensing                   (23,465 calls)
% 18.57/18.79  ;     5.526  30%   Forward subsumption          (23,465 calls)
% 18.57/18.79  ;     1.697   9%   Backward subsumption         (23,455 calls)
% 18.57/18.79  ;     1.092   6%   Clause clause subsumption    (121,421 calls)
% 18.57/18.79  ;     1.271   7%   Forward simplification       (24,255 calls)
% 18.57/18.79  ;     0.025   0%   Backward simplification      (23,618 calls)
% 18.57/18.79  ;     0.000   0%   Ordering                     (250 calls)
% 18.57/18.79  ;     0.000   0%   Sortal reasoning             (32 calls)
% 18.57/18.79  ;     0.041   0%   Purity testing               (1 call)
% 18.57/18.79  ;     0.138   1%   Other
% 18.57/18.79  ;    18.308        Total
% 18.57/18.79  ;    18.312        Real time
% 18.57/18.79  ; 
% 18.57/18.80  ; Term-hash-array has 871 terms in all.
% 18.57/18.80  ; Feature-vector-row-index has 22,854 entries (22,854 at peak, 23,455 added, 601 deleted).
% 18.57/18.80  ; Feature-vector-row-index has 142,743 nodes (143,344 at peak, 156,164 added, 13,421 deleted).
% 18.57/18.80  ;  Retrieved 127,055 possibly forward subsuming rows in 23,465 calls.
% 18.57/18.80  ;  Retrieved 67,535 possibly backward subsumed rows in 23,455 calls.
% 18.57/18.80  ; Path-index has 829 entries (837 at peak, 885 added, 56 deleted).
% 18.57/18.80  ; Path-index has 3,928 nodes (3,938 at peak, 3,943 added, 15 deleted).
% 18.57/18.80  ; Trie-index has 829 entries (837 at peak, 885 added, 56 deleted).
% 18.57/18.80  ; Trie-index has 3,360 nodes (3,388 at peak, 3,524 added, 164 deleted).
% 18.57/18.80  ; Retrieved 757 generalization terms in 156,643 calls.
% 18.57/18.80  ; Retrieved 184 instance terms in 162 calls.
% 18.57/18.80  ; Retrieved 165,302 unifiable terms in 2,890 calls.
% 18.57/18.80  ; 
% 18.57/18.80  ; The agenda of rows to process has 56 entries:
% 18.57/18.80  ;    41 with value 16              1 with value 18               1 with value 22
% 18.57/18.80  ;    10 with value 17              3 with value 20
% 18.57/18.80  ; The agenda of input rows to give has 22739 entries:
% 18.57/18.80  ;    10 with value 37            295 with value 81             192 with value 124
% 18.57/18.80  ;     7 with value 38            611 with value 82             128 with value 125
% 18.57/18.80  ;     8 with value 39            303 with value 83             138 with value 126
% 18.57/18.80  ;     6 with value 40            425 with value 84              99 with value 127
% 18.57/18.80  ;     3 with value 41            450 with value 85             161 with value 128
% 18.57/18.80  ;     4 with value 42            439 with value 86              89 with value 129
% 18.57/18.80  ;    10 with value 43            458 with value 87             148 with value 130
% 18.57/18.80  ;     7 with value 44            356 with value 88              87 with value 131
% 18.57/18.80  ;     6 with value 45            474 with value 89             148 with value 132
% 18.57/18.80  ;     4 with value 46            476 with value 90              73 with value 133
% 18.57/18.80  ;    10 with value 47            338 with value 91             136 with value 134
% 18.57/18.80  ;     6 with value 48            448 with value 92              49 with value 135
% 18.57/18.80  ;     6 with value 49            316 with value 93             129 with value 136
% 18.57/18.80  ;     5 with value 50            440 with value 94              49 with value 137
% 18.57/18.80  ;     7 with value 51            302 with value 95             105 with value 138
% 18.57/18.80  ;     6 with value 52            395 with value 96              43 with value 139
% 18.57/18.80  ;     4 with value 53            350 with value 97              79 with value 140
% 18.57/18.80  ;     3 with value 54            443 with value 98              37 with value 141
% 18.57/18.80  ;     3 with value 55            348 with value 99              84 with value 142
% 18.57/18.80  ;     3 with value 56            499 with value 100             33 with value 143
% 18.57/18.80  ;     3 with value 57            279 with value 101             72 with value 144
% 18.57/18.80  ;     1 with value 58            516 with value 102             27 with value 145
% 18.57/18.80  ;     2 with value 59            173 with value 103             80 with value 146
% 18.57/18.80  ;     7 with value 60            583 with value 104             17 with value 147
% 18.57/18.80  ;     2 with value 61            124 with value 105             60 with value 148
% 18.57/18.80  ;    98 with value 62            506 with value 106             19 with value 149
% 18.57/18.80  ;     3 with value 63            169 with value 107             41 with value 150
% 18.57/18.80  ;   137 with value 64            540 with value 108             18 with value 151
% 18.57/18.80  ;    17 with value 65            194 with value 109             15 with value 152
% 18.57/18.80  ;   362 with value 66            435 with value 110             14 with value 153
% 18.57/18.80  ;   372 with value 68            205 with value 111             29 with value 154
% 18.57/18.80  ;    73 with value 69            457 with value 112              6 with value 155
% 18.57/18.80  ;   525 with value 70            173 with value 113             32 with value 156
% 18.57/18.80  ;    90 with value 71            350 with value 114              2 with value 157
% 18.57/18.80  ;   380 with value 72            132 with value 115             34 with value 158
% 18.57/18.80  ;   184 with value 73            392 with value 116             20 with value 160
% 18.57/18.80  ;   542 with value 74            124 with value 117             11 with value 162
% 18.57/18.80  ;   235 with value 75            304 with value 118              3 with value 164
% 18.57/18.80  ;   453 with value 76            159 with value 119             13 with value 166
% 18.57/18.80  ;   260 with value 77            303 with value 120             16 with value 168
% 18.57/18.80  ;   669 with value 78            159 with value 121             14 with value 170
% 18.57/18.80  ;   236 with value 79            203 with value 122              6 with value 172
% 18.57/18.80  ;   624 with value 80            142 with value 123              2 with value 174
% 18.57/18.80  ; The agenda of rows to give has 159 entries:
% 18.57/18.80  ;     2 with value (4 4)           7 with value (4 17)           1 with value (4 32)
% 18.57/18.80  ;     3 with value (4 6)          10 with value (4 18)           2 with value (4 34)
% 18.57/18.80  ;     3 with value (4 7)           2 with value (4 19)           1 with value (4 35)
% 18.57/18.80  ;     4 with value (4 8)           5 with value (4 20)           4 with value (4 37)
% 18.57/18.80  ;     6 with value (4 9)           1 with value (4 21)           2 with value (4 38)
% 18.57/18.80  ;     8 with value (4 10)          3 with value (4 22)           1 with value (4 39)
% 18.57/18.80  ;     5 with value (4 11)          1 with value (4 23)           1 with value (4 40)
% 18.57/18.80  ;    16 with value (4 12)          1 with value (4 25)           1 with value (4 41)
% 18.57/18.80  ;     8 with value (4 13)          1 with value (4 27)           1 with value (4 42)
% 18.57/18.80  ;    24 with value (4 14)          1 with value (4 30)           1 with value (4 44)
% 18.57/18.80  ;     7 with value (4 15)          2 with value (4 31)           1 with value (4 45)
% 18.57/18.80  ;    23 with value (4 16)
% 18.57/18.80  Evaluation took:
% 18.57/18.80    18.325 seconds of real time
% 18.57/18.80    17.662308 seconds of user run time
% 18.57/18.80    0.660529 seconds of system run time
% 18.57/18.80    [Run times include 1.401 seconds GC run time.]
% 18.57/18.80    0 calls to %EVAL
% 18.57/18.80    0 page faults and
% 18.57/18.80    1,540,253,840 bytes consed.
% 18.57/18.80  :PROOF-FOUND
% 18.57/18.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T18:42:10
% 18.57/18.80  :PROOF-FOUND
% 18.57/18.80  * 
%------------------------------------------------------------------------------