%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM925_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 14:15:15 EDT 2022
% Result : Theorem 0.45s 0.61s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 12 equ)
% Maximal formula atoms : 2 ( 5 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 65 ( 65 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
tff(37,axiom,
~ ord_less_int(pls,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_rel__simps_I2_J) ).
tff(93,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_Pls__def) ).
tff(96,axiom,
! [X: int] : ( plus_plus_int(X,pls) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_add__Pls__right) ).
tff(102,axiom,
! [X: int,Y: int] :
( ( power_power_int(X,number_number_of_nat(Y)) != zero_zero_int )
| ( X = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_power__eq__0__iff__number__of) ).
tff(103,plain,
! [X: int,Y: int] :
( ( power_power_int(X,number_number_of_nat(Y)) != pls )
| ( X = pls ) ),
inference('REWRITE',[status(thm)],[102,93,theory(equality)]) ).
tff(114,axiom,
! [X: int] : ( bit1(X) = plus_plus_int(plus_plus_int(one_one_int,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_Bit1__def) ).
tff(129,negated_conjecture,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(130,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) = pls,
inference('REWRITE',[status(thm)],[129,93,theory(equality)]) ).
tff(132,plain,
ord_less_int(pls,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
inference('REWRITE',[status(thm)],[1,93,theory(equality)]) ).
tff(191,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,114,theory(equality)]),96,theory(equality)]) ).
tff(210,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(one_one_int))) = pls,
inference('REWRITE',[status(thm)],[130,191,theory(equality)]) ).
tff(337,plain,
plus_plus_int(one_one_int,semiri1621563631at_int(n)) = pls,
inference('HYPERRESOLVE',[status(thm)],[103,210]) ).
cnf(338,plain,
$false,
inference('REWRITE',[status(thm)],[132,37,337,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM925_1 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jul 5 12:06:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T12:06:07
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-05T12:06:07
% 0.20/0.50 WARNING:
% 0.20/0.50 |ord_less_nat| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.61
% 0.45/0.61
% 0.45/0.61 #||
% 0.45/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.61 % SZS output start Refutation
% See solution above
% 0.45/0.61 ||#
% 0.45/0.61
% 0.45/0.61 ; Summary of computation:
% 0.45/0.61 ; 1139 formulas have been input or derived (from 83 formulas).
% 0.45/0.61 ; 338 (30%) were retained. Of these,
% 0.45/0.61 ; 98 (29%) were simplified or subsumed later,
% 0.45/0.61 ; 240 (71%) are still being kept.
% 0.45/0.61 ;
% 0.45/0.61 ; Run time in seconds excluding printing time:
% 0.45/0.61 ; 0.022 15% Read assertion file (1 call)
% 0.45/0.61 ; 0.005 3% Assert (107 calls)
% 0.45/0.61 ; 0.021 15% Process new row (867 calls)
% 0.45/0.61 ; 0.009 6% Resolution (164 calls)
% 0.45/0.61 ; 0.006 4% Paramodulation (82 calls)
% 0.45/0.61 ; 0.000 0% Factoring (1 call)
% 0.45/0.61 ; 0.008 6% Condensing (204 calls)
% 0.45/0.61 ; 0.005 3% Forward subsumption (204 calls)
% 0.45/0.61 ; 0.002 1% Backward subsumption (141 calls)
% 0.45/0.61 ; 0.005 3% Clause clause subsumption (178 calls)
% 0.45/0.61 ; 0.017 12% Forward simplification (860 calls)
% 0.45/0.61 ; 0.007 5% Backward simplification (326 calls)
% 0.45/0.61 ; 0.008 6% Ordering (1,608 calls)
% 0.45/0.61 ; 0.000 0% Sortal reasoning (365 calls)
% 0.45/0.61 ; 0.000 0% Purity testing (1 call)
% 0.45/0.61 ; 0.029 20% Other
% 0.45/0.61 ; 0.144 Total
% 0.45/0.61 ; 0.145 Real time
% 0.45/0.61 ;
% 0.45/0.61 ; Term-hash-array has 540 terms in all.
% 0.45/0.61 ; Feature-vector-row-index has 104 entries (104 at peak, 141 added, 37 deleted).
% 0.45/0.61 ; Feature-vector-row-index has 313 nodes (313 at peak, 530 added, 217 deleted).
% 0.45/0.61 ; Retrieved 252 possibly forward subsuming rows in 204 calls.
% 0.45/0.61 ; Retrieved 56 possibly backward subsumed rows in 141 calls.
% 0.45/0.61 ; Path-index has 433 entries (443 at peak, 568 added, 135 deleted).
% 0.45/0.61 ; Path-index has 850 nodes (866 at peak, 987 added, 137 deleted).
% 0.45/0.61 ; Trie-index has 433 entries (443 at peak, 568 added, 135 deleted).
% 0.45/0.61 ; Trie-index has 1,269 nodes (1,313 at peak, 1,724 added, 455 deleted).
% 0.45/0.61 ; Retrieved 2,096 generalization terms in 3,652 calls.
% 0.45/0.61 ; Retrieved 433 instance terms in 257 calls.
% 0.45/0.61 ; Retrieved 4,616 unifiable terms in 574 calls.
% 0.45/0.61 ;
% 0.45/0.61 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.45/0.61 ; 5 with value 0
% 0.45/0.61 ; The agenda of rows to process has 14 entries:
% 0.45/0.61 ; 1 with value 14 4 with value 17 8 with value 18
% 0.45/0.61 ; 1 with value 15
% 0.45/0.61 ; The agenda of input rows to give has 23 entries:
% 0.45/0.61 ; 11 with value 15 3 with value 19 4 with value 22
% 0.45/0.61 ; 1 with value 18 2 with value 21 2 with value 26
% 0.45/0.61 ; The agenda of rows to give has 140 entries:
% 0.45/0.61 ; 2 with value (4 5) 7 with value (4 12) 11 with value (4 17)
% 0.45/0.61 ; 8 with value (4 7) 5 with value (4 13) 14 with value (4 18)
% 0.45/0.61 ; 7 with value (4 8) 13 with value (4 14) 15 with value (4 19)
% 0.45/0.61 ; 5 with value (4 9) 14 with value (4 15) 11 with value (4 20)
% 0.45/0.61 ; 5 with value (4 10) 9 with value (4 16) 1 with value (4 23)
% 0.45/0.61 ; 13 with value (4 11)
% 0.45/0.61 Evaluation took:
% 0.45/0.61 0.145 seconds of real time
% 0.45/0.61 0.125093 seconds of user run time
% 0.45/0.61 0.020393 seconds of system run time
% 0.45/0.61 0 calls to %EVAL
% 0.45/0.61 0 page faults and
% 0.45/0.61 7,706,000 bytes consed.
% 0.45/0.61 :PROOF-FOUND
% 0.45/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T12:06:07
% 0.45/0.61 :PROOF-FOUND
% 0.45/0.61 *
%------------------------------------------------------------------------------