TSTP Solution File: NUM926+5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM926+5 : TPTP v8.1.0. Released v5.3.0.
% 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 : Mon Jul 18 14:15:23 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 14 ( 8 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 7 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
cnf(35,axiom,
( t != one_one(int)
| plus_plus(int,power_power(int,'SKOLEMAAAV1',number_number_of(nat,bit0(bit1(pls)))),power_power(int,'SKOLEMAAAV2',number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
cnf(36,axiom,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,power_power(int,'SKOLEMAAAV3',number_number_of(nat,bit0(bit1(pls)))),power_power(int,'SKOLEMAAAV4',number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
cnf(59,axiom,
( ord_less(int,X,Y)
| ~ ord_less_eq(int,X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_zless__le) ).
cnf(131,axiom,
number_number_of(int,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_number__of__is__id) ).
cnf(163,negated_conjecture,
plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(164,plain,
plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),
inference('REWRITE',[status(thm)],[163,131,theory(equality)]) ).
cnf(168,plain,
t != one_one(int),
inference('REWRITE',[status(thm)],[35,164,131,theory(equality)]) ).
cnf(169,plain,
~ ord_less(int,one_one(int),t),
inference('REWRITE',[status(thm)],[36,164,131,theory(equality)]) ).
cnf(207,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[59,169,34,168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM926+5 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n020.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 Jul 7 16:27:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 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 2022-07-07T16:27:14
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T16:27:14
% 0.20/0.51
% 0.20/0.51 ; Recognized possible left identity assertion (|ord_less_eq| |int| ?X ?X).
% 0.20/0.56 ; Recognized left identity assertion (= (|number_number_of| |int| ?X) ?X).
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.57 ||#
% 0.20/0.57
% 0.20/0.57 ; Summary of computation:
% 0.20/0.57 ; 426 formulas have been input or derived (from 78 formulas).
% 0.20/0.57 ; 207 (49%) were retained. Of these,
% 0.20/0.57 ; 33 (16%) were simplified or subsumed later,
% 0.20/0.57 ; 174 (84%) are still being kept.
% 0.20/0.57 ;
% 0.20/0.57 ; Run time in seconds excluding printing time:
% 0.20/0.57 ; 0.034 32% Read assertion file (1 call)
% 0.20/0.57 ; 0.006 6% Assert (142 calls)
% 0.20/0.57 ; 0.019 18% Process new row (360 calls)
% 0.20/0.57 ; 0.001 1% Resolution (154 calls)
% 0.20/0.57 ; 0.000 0% Paramodulation (77 calls)
% 0.20/0.57 ; 0.000 0% Factoring (1 call)
% 0.20/0.57 ; 0.003 3% Condensing (150 calls)
% 0.20/0.57 ; 0.005 5% Forward subsumption (150 calls)
% 0.20/0.57 ; 0.001 1% Backward subsumption (122 calls)
% 0.20/0.57 ; 0.002 2% Clause clause subsumption (110 calls)
% 0.20/0.57 ; 0.008 8% Forward simplification (358 calls)
% 0.20/0.57 ; 0.004 4% Backward simplification (205 calls)
% 0.20/0.57 ; 0.000 0% Ordering (252 calls)
% 0.20/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.57 ; 0.000 0% Purity testing (1 call)
% 0.20/0.57 ; 0.022 21% Other
% 0.20/0.57 ; 0.105 Total
% 0.20/0.57 ; 0.107 Real time
% 0.20/0.57 ;
% 0.20/0.57 ; Term-hash-array has 387 terms in all.
% 0.20/0.57 ; Feature-vector-row-index has 107 entries (107 at peak, 122 added, 15 deleted).
% 0.20/0.57 ; Feature-vector-row-index has 404 nodes (480 at peak, 549 added, 145 deleted).
% 0.20/0.57 ; Retrieved 80 possibly forward subsuming rows in 150 calls.
% 0.20/0.57 ; Retrieved 45 possibly backward subsumed rows in 122 calls.
% 0.20/0.57 ; Path-index has 326 entries (326 at peak, 410 added, 84 deleted).
% 0.20/0.57 ; Path-index has 1,526 nodes (1,526 at peak, 1,745 added, 219 deleted).
% 0.20/0.57 ; Trie-index has 326 entries (326 at peak, 410 added, 84 deleted).
% 0.20/0.57 ; Trie-index has 1,508 nodes (1,532 at peak, 2,191 added, 683 deleted).
% 0.20/0.57 ; Retrieved 227 generalization terms in 1,013 calls.
% 0.20/0.57 ; Retrieved 140 instance terms in 89 calls.
% 0.20/0.57 ; Retrieved 2,454 unifiable terms in 438 calls.
% 0.20/0.57 ;
% 0.20/0.57 ; The agenda of rows to process has 7 entries:
% 0.20/0.57 ; 1 with value 7 1 with value 10 2 with value 15
% 0.20/0.57 ; 2 with value 8 1 with value 14
% 0.20/0.57 ; The agenda of input rows to give has 76 entries:
% 0.20/0.57 ; 4 with value 14 14 with value 21 1 with value 28
% 0.20/0.57 ; 3 with value 15 3 with value 22 2 with value 34
% 0.20/0.57 ; 5 with value 16 1 with value 24 1 with value 36
% 0.20/0.57 ; 11 with value 17 1 with value 25 1 with value 48
% 0.20/0.57 ; 7 with value 18 3 with value 26 1 with value 53
% 0.20/0.57 ; 12 with value 19 2 with value 27 1 with value 75
% 0.20/0.57 ; 3 with value 20
% 0.20/0.57 ; The agenda of rows to give has 33 entries:
% 0.20/0.57 ; 1 with value (4 6) 2 with value (4 10) 6 with value (4 14)
% 0.20/0.57 ; 3 with value (4 8) 9 with value (4 11) 4 with value (4 15)
% 0.20/0.57 ; 2 with value (4 9) 6 with value (4 13)
% 0.20/0.57 Evaluation took:
% 0.20/0.57 0.107 seconds of real time
% 0.20/0.57 0.09428 seconds of user run time
% 0.20/0.57 0.012689 seconds of system run time
% 0.20/0.57 0 calls to %EVAL
% 0.20/0.57 0 page faults and
% 0.20/0.57 6,416,088 bytes consed.
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:27:14
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 *
%------------------------------------------------------------------------------