TSTP Solution File: NUM925_3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM925_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 : Mon Jul 18 14:15:17 EDT 2022
% Result : Theorem 1.67s 1.83s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 134 ( 19 equ)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 110 ( 110 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
tff(33,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_semiring__norm_I110_J) ).
tff(75,axiom,
! [X: int,Y: int] : ( plus_plus_int(X,Y) = plus_plus_int(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_zadd__commute) ).
tff(123,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_Pls__def) ).
tff(233,axiom,
! [X: int] : ( number_number_of_int(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_number__of__is__id) ).
tff(289,axiom,
! [X: int,Y: nat] :
( ( X = zero_zero_int )
| ( hAPP_nat_int(power_power_int(X),Y) != zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_field__power__not__zero) ).
tff(290,plain,
! [X: int,Y: nat] :
( ( X = pls )
| ( hAPP_nat_int(power_power_int(X),Y) != pls ) ),
inference('REWRITE',[status(thm)],[289,123,theory(equality)]) ).
tff(796,axiom,
! [X: int,Y: int] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))
| ( X != Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_718_zless__le) ).
tff(892,axiom,
! [X: int] : ( nat_1(number_number_of_int(X)) = number_number_of_nat(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_766_nat__number__of) ).
tff(893,plain,
! [X: int] : ( nat_1(X) = number_number_of_nat(X) ),
inference('REWRITE',[status(thm)],[892,233,theory(equality)]) ).
tff(989,axiom,
! [X: int] : ( succ(X) = plus_plus_int(X,one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_814_succ__def) ).
tff(1599,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(1600,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat_1(bit0(bit1(pls)))) = pls,
inference('REWRITE',[status(thm)],[1599,123,893,theory(equality)]) ).
tff(1888,plain,
one_one_int = bit1(pls),
inference('REWRITE',[status(thm)],[33,233,theory(equality)]) ).
tff(1939,plain,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat_1(bit0(one_one_int))) = pls,
inference('REWRITE',[status(thm)],[1600,1888,theory(equality)]) ).
tff(1973,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
inference('REWRITE',[status(thm)],[1,123,theory(equality)]) ).
tff(1986,plain,
! [X: int] : ( succ(X) = plus_plus_int(one_one_int,X) ),
inference('PARAMODULATE',[status(thm)],[989,75,theory(equality)]) ).
tff(1991,plain,
hAPP_nat_int(power_power_int(succ(hAPP_nat_int(semiri1621563631at_int,n))),nat_1(bit0(one_one_int))) = pls,
inference('REWRITE',[status(thm)],[1939,1986,theory(equality)]) ).
tff(1993,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),succ(hAPP_nat_int(semiri1621563631at_int,n)))),
inference('REWRITE',[status(thm)],[1973,1986,theory(equality)]) ).
tff(2198,plain,
pls != succ(hAPP_nat_int(semiri1621563631at_int,n)),
inference('UR-RESOLVE',[status(thm)],[796,1993]) ).
cnf(3036,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[290,1991]),2198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM925_3 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jul 7 20:59:50 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.52 #<PACKAGE "SNARK-USER">
% 0.23/0.52 *
% 0.23/0.52 SNARK-TPTP-OPTIONS
% 0.23/0.52 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:59:50
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T20:59:50
% 1.67/1.83
% 1.67/1.83
% 1.67/1.83 #||
% 1.67/1.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.83 % SZS output start Refutation
% See solution above
% 1.67/1.83 ||#
% 1.67/1.83
% 1.67/1.83 ; Summary of computation:
% 1.67/1.83 ; 10502 formulas have been input or derived (from 290 formulas).
% 1.67/1.83 ; 3036 (29%) were retained. Of these,
% 1.67/1.83 ; 976 (32%) were simplified or subsumed later,
% 1.67/1.83 ; 2060 (68%) are still being kept.
% 1.67/1.83 ;
% 1.67/1.83 ; Run time in seconds excluding printing time:
% 1.67/1.83 ; 0.265 20% Read assertion file (1 call)
% 1.67/1.83 ; 0.028 2% Assert (1,205 calls)
% 1.67/1.83 ; 0.206 16% Process new row (8,831 calls)
% 1.67/1.83 ; 0.209 16% Resolution (578 calls)
% 1.67/1.83 ; 0.031 2% Paramodulation (289 calls)
% 1.67/1.83 ; 0.000 0% Factoring (9 calls)
% 1.67/1.83 ; 0.018 1% Condensing (1,937 calls)
% 1.67/1.83 ; 0.110 8% Forward subsumption (1,937 calls)
% 1.67/1.83 ; 0.051 4% Backward subsumption (1,407 calls)
% 1.67/1.83 ; 0.015 1% Clause clause subsumption (2,817 calls)
% 1.67/1.83 ; 0.172 13% Forward simplification (8,828 calls)
% 1.67/1.83 ; 0.047 4% Backward simplification (2,610 calls)
% 1.67/1.83 ; 0.077 6% Ordering (17,349 calls)
% 1.67/1.83 ; 0.013 1% Sortal reasoning (19,041 calls)
% 1.67/1.83 ; 0.001 0% Purity testing (1 call)
% 1.67/1.83 ; 0.061 5% Other
% 1.67/1.83 ; 1.304 Total
% 1.67/1.83 ; 1.306 Real time
% 1.67/1.83 ;
% 1.67/1.83 ; Term-hash-array has 6,206 terms in all.
% 1.67/1.83 ; Feature-vector-row-index has 1,055 entries (1,055 at peak, 1,407 added, 352 deleted).
% 1.67/1.83 ; Feature-vector-row-index has 10,202 nodes (10,202 at peak, 13,870 added, 3,668 deleted).
% 1.67/1.83 ; Retrieved 2,864 possibly forward subsuming rows in 1,937 calls.
% 1.67/1.83 ; Retrieved 783 possibly backward subsumed rows in 1,407 calls.
% 1.67/1.83 ; Path-index has 5,183 entries (5,183 at peak, 6,546 added, 1,363 deleted).
% 1.67/1.83 ; Path-index has 13,687 nodes (13,687 at peak, 15,508 added, 1,821 deleted).
% 1.67/1.83 ; Trie-index has 5,183 entries (5,183 at peak, 6,546 added, 1,363 deleted).
% 1.67/1.83 ; Trie-index has 17,830 nodes (17,830 at peak, 24,198 added, 6,368 deleted).
% 1.67/1.83 ; Retrieved 29,506 generalization terms in 46,596 calls.
% 1.67/1.83 ; Retrieved 3,888 instance terms in 1,617 calls.
% 1.67/1.83 ; Retrieved 160,801 unifiable terms in 3,002 calls.
% 1.67/1.83 ;
% 1.67/1.83 ; The agenda of rows to process has 42 entries:
% 1.67/1.83 ; 1 with value 13 1 with value 21 1 with value 29
% 1.67/1.83 ; 1 with value 14 9 with value 22 1 with value 30
% 1.67/1.83 ; 1 with value 15 4 with value 23 1 with value 31
% 1.67/1.83 ; 1 with value 19 4 with value 24 1 with value 32
% 1.67/1.83 ; 16 with value 20
% 1.67/1.83 ; The agenda of input rows to give has 751 entries:
% 1.67/1.83 ; 17 with value 17 15 with value 33 1 with value 49
% 1.67/1.83 ; 41 with value 18 6 with value 34 12 with value 50
% 1.67/1.83 ; 45 with value 19 34 with value 35 1 with value 52
% 1.67/1.83 ; 57 with value 20 16 with value 36 2 with value 53
% 1.67/1.83 ; 47 with value 21 11 with value 37 2 with value 55
% 1.67/1.83 ; 38 with value 22 12 with value 38 1 with value 58
% 1.67/1.83 ; 39 with value 23 15 with value 39 4 with value 60
% 1.67/1.83 ; 21 with value 24 2 with value 40 2 with value 65
% 1.67/1.83 ; 27 with value 25 4 with value 41 2 with value 67
% 1.67/1.83 ; 24 with value 26 3 with value 42 2 with value 68
% 1.67/1.83 ; 38 with value 27 9 with value 43 3 with value 70
% 1.67/1.83 ; 16 with value 28 14 with value 44 3 with value 73
% 1.67/1.83 ; 30 with value 29 5 with value 45 1 with value 74
% 1.67/1.83 ; 35 with value 30 4 with value 46 4 with value 82
% 1.67/1.83 ; 16 with value 31 1 with value 47 4 with value 83
% 1.67/1.83 ; 60 with value 32 5 with value 48
% 1.67/1.83 ; The agenda of rows to give has 1022 entries:
% 1.67/1.83 ; 4 with value (4 5) 41 with value (4 16) 21 with value (4 26)
% 1.67/1.83 ; 11 with value (4 7) 47 with value (4 17) 32 with value (4 27)
% 1.67/1.83 ; 12 with value (4 8) 82 with value (4 18) 43 with value (4 28)
% 1.67/1.83 ; 13 with value (4 9) 67 with value (4 19) 2 with value (4 29)
% 1.67/1.83 ; 26 with value (4 10) 207 with value (4 20) 18 with value (4 30)
% 1.67/1.83 ; 24 with value (4 11) 59 with value (4 21) 16 with value (4 31)
% 1.67/1.83 ; 24 with value (4 12) 40 with value (4 22) 3 with value (4 32)
% 1.67/1.83 ; 40 with value (4 13) 30 with value (4 23) 4 with value (4 33)
% 1.67/1.83 ; 27 with value (4 14) 35 with value (4 24) 4 with value (4 34)
% 1.67/1.83 ; 56 with value (4 15) 33 with value (4 25) 1 with value (4 36)
% 1.67/1.83 Evaluation took:
% 1.67/1.83 1.308 seconds of real time
% 1.67/1.83 1.190711 seconds of user run time
% 1.67/1.83 0.116541 seconds of system run time
% 1.67/1.83 [Run times include 0.115 seconds GC run time.]
% 1.67/1.83 0 calls to %EVAL
% 1.67/1.83 0 page faults and
% 1.67/1.83 97,234,296 bytes consed.
% 1.67/1.83 :PROOF-FOUND
% 1.67/1.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T20:59:51
% 1.67/1.83 :PROOF-FOUND
% 1.67/1.83 *
%------------------------------------------------------------------------------