TSTP Solution File: NUM926+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:15:20 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% 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 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 7 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
cnf(2,axiom,
( t != one_one_int
| plus_plus_int(power_power_int('SKOLEMAAAW1',number_number_of_nat(bit0(bit1(pls)))),power_power_int('SKOLEMAAAW2',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(3,axiom,
( ~ ord_less_int(one_one_int,t)
| plus_plus_int(power_power_int('SKOLEMAAAW3',number_number_of_nat(bit0(bit1(pls)))),power_power_int('SKOLEMAAAW4',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(41,axiom,
( ord_less_int(X,Y)
| ~ ord_less_eq_int(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_zless__le) ).
cnf(99,axiom,
number_number_of_int(X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_number__of__is__id) ).
cnf(112,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(113,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)],[112,99,theory(equality)]) ).
cnf(114,plain,
t != one_one_int,
inference('REWRITE',[status(thm)],[2,113,99,theory(equality)]) ).
cnf(115,plain,
~ ord_less_int(one_one_int,t),
inference('REWRITE',[status(thm)],[3,113,99,theory(equality)]) ).
cnf(181,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[41,115,1,114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 : Tue Jul 5 15:09:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:09:27
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T15:09:27
% 0.19/0.51
% 0.19/0.51 ; Recognized right identity assertion (= (|power_power_int| ?X |one_one_nat|) ?X).
% 0.19/0.51 ; Recognized right identity assertion (= (|power_power_nat| ?X |one_one_nat|) ?X).
% 0.19/0.51 ; Recognized associativity assertion (= (|times_times_int| (|times_times_int| ?X ?Y) ?Z) (|times_times_int| ?X (|times_times_int| ?Y ?Z))).
% 0.19/0.51 ; Recognized associativity assertion (= (|times_times_nat| (|times_times_nat| ?X ?Y) ?Z) (|times_times_nat| ?X (|times_times_nat| ?Y ?Z))).
% 0.19/0.51 ; Recognized associativity assertion (= (|times_times_int| ?X (|times_times_int| ?Y ?Z)) (|times_times_int| (|times_times_int| ?X ?Y) ?Z)).
% 0.19/0.51 ; Recognized associativity assertion (= (|times_times_nat| ?X (|times_times_nat| ?Y ?Z)) (|times_times_nat| (|times_times_nat| ?X ?Y) ?Z)).
% 0.19/0.51 ; Recognized commutativity assertion (= (|times_times_int| ?X ?Y) (|times_times_int| ?Y ?X)).
% 0.19/0.51 ; Recognized commutativity assertion (= (|times_times_nat| ?X ?Y) (|times_times_nat| ?Y ?X)).
% 0.19/0.51 ; Recognized associativity assertion (= (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z) (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z))).
% 0.19/0.51 ; Recognized associativity assertion (= (|plus_plus_nat| (|plus_plus_nat| ?X ?Y) ?Z) (|plus_plus_nat| ?X (|plus_plus_nat| ?Y ?Z))).
% 0.19/0.51 ; Recognized associativity assertion (= (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z)) (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z)).
% 0.19/0.51 ; Recognized associativity assertion (= (|plus_plus_nat| ?X (|plus_plus_nat| ?Y ?Z)) (|plus_plus_nat| (|plus_plus_nat| ?X ?Y) ?Z)).
% 0.19/0.51 ; Recognized commutativity assertion (= (|plus_plus_int| ?X ?Y) (|plus_plus_int| ?Y ?X)).
% 0.19/0.51 ; Recognized commutativity assertion (= (|plus_plus_nat| ?X ?Y) (|plus_plus_nat| ?Y ?X)).
% 0.19/0.51 ; Recognized associativity assertion (= (|times_times_int| (|times_times_int| ?X ?Y) ?Z) (|times_times_int| ?X (|times_times_int| ?Y ?Z))).
% 0.19/0.51 ; Recognized commutativity assertion (= (|times_times_int| ?X ?Y) (|times_times_int| ?Y ?X)).
% 0.19/0.51 ; Recognized associativity assertion (= (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z) (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z))).
% 0.19/0.52 ; Recognized commutativity assertion (= (|plus_plus_int| ?X ?Y) (|plus_plus_int| ?Y ?X)).
% 0.19/0.52 ; Declaring plus_plus_int to be commutative.
% 0.19/0.52 ; Declaring plus_plus_int to be associative-commutative.
% 0.19/0.52 ; Declaring times_times_int to be commutative.
% 0.19/0.52 ; Declaring times_times_int to be associative-commutative.
% 0.19/0.52 ; Declaring plus_plus_nat to be commutative.
% 0.19/0.52 ; Declaring plus_plus_nat to be associative-commutative.
% 0.19/0.52 ; Declaring times_times_nat to be commutative.
% 0.19/0.52 WARNING:
% 0.19/0.52 |zprime| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.58 ; Declaring times_times_nat to be associative-commutative.
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 ||#
% 0.19/0.58
% 0.19/0.58 ; Summary of computation:
% 0.19/0.58 ; 418 formulas have been input or derived (from 55 formulas).
% 0.19/0.58 ; 181 (43%) were retained. Of these,
% 0.19/0.58 ; 36 (20%) were simplified or subsumed later,
% 0.19/0.58 ; 145 (80%) are still being kept.
% 0.19/0.58 ;
% 0.19/0.58 ; Run time in seconds excluding printing time:
% 0.19/0.58 ; 0.028 27% Read assertion file (1 call)
% 0.19/0.58 ; 0.004 4% Assert (124 calls)
% 0.19/0.58 ; 0.018 17% Process new row (353 calls)
% 0.19/0.58 ; 0.006 6% Resolution (108 calls)
% 0.19/0.58 ; 0.002 2% Paramodulation (54 calls)
% 0.19/0.58 ; 0.000 0% Factoring (2 calls)
% 0.19/0.58 ; 0.000 0% Embedding (23 calls)
% 0.19/0.58 ; 0.000 0% Condensing (135 calls)
% 0.19/0.58 ; 0.003 3% Forward subsumption (135 calls)
% 0.19/0.58 ; 0.002 2% Backward subsumption (92 calls)
% 0.19/0.58 ; 0.000 0% Clause clause subsumption (120 calls)
% 0.19/0.58 ; 0.006 6% Forward simplification (329 calls)
% 0.19/0.58 ; 0.005 5% Backward simplification (155 calls)
% 0.19/0.58 ; 0.001 1% Ordering (212 calls)
% 0.19/0.58 ; 0.001 1% Ordering ac (18 calls)
% 0.19/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.58 ; 0.000 0% Purity testing (1 call)
% 0.19/0.58 ; 0.028 27% Other
% 0.19/0.58 ; 0.104 Total
% 0.19/0.58 ; 0.105 Real time
% 0.19/0.58 ;
% 0.19/0.58 ; Term-hash-array has 298 terms in all.
% 0.19/0.58 ; Feature-vector-row-index has 82 entries (82 at peak, 92 added, 10 deleted).
% 0.19/0.58 ; Feature-vector-row-index has 196 nodes (196 at peak, 280 added, 84 deleted).
% 0.19/0.58 ; Retrieved 127 possibly forward subsuming rows in 135 calls.
% 0.19/0.58 ; Retrieved 21 possibly backward subsumed rows in 92 calls.
% 0.19/0.58 ; Path-index has 238 entries (238 at peak, 335 added, 97 deleted).
% 0.19/0.58 ; Path-index has 595 nodes (595 at peak, 717 added, 122 deleted).
% 0.19/0.58 ; Trie-index has 238 entries (238 at peak, 335 added, 97 deleted).
% 0.19/0.58 ; Trie-index has 330 nodes (330 at peak, 482 added, 152 deleted).
% 0.19/0.58 ; Retrieved 753 generalization terms in 726 calls.
% 0.19/0.58 ; Retrieved 145 instance terms in 72 calls.
% 0.19/0.58 ; Retrieved 1,951 unifiable terms in 264 calls.
% 0.19/0.58 ;
% 0.19/0.58 ; The agenda of rows to process has 7 entries:
% 0.19/0.58 ; 3 with value 5 2 with value 9 2 with value 13
% 0.19/0.58 ; The agenda of input rows to give has 42 entries:
% 0.19/0.58 ; 6 with value 12 5 with value 16 1 with value 28
% 0.19/0.58 ; 4 with value 13 1 with value 17 4 with value 36
% 0.19/0.58 ; 4 with value 14 3 with value 21 2 with value 55
% 0.19/0.58 ; 8 with value 15 4 with value 26
% 0.19/0.58 ; The agenda of rows to give has 49 entries:
% 0.19/0.58 ; 3 with value (4 5) 1 with value (4 9) 2 with value (4 13)
% 0.19/0.58 ; 2 with value (4 7) 9 with value (4 11) 2 with value (4 15)
% 0.19/0.58 ; 14 with value (4 8) 14 with value (4 12) 2 with value (4 19)
% 0.19/0.58 Evaluation took:
% 0.19/0.58 0.106 seconds of real time
% 0.19/0.58 0.095123 seconds of user run time
% 0.19/0.58 0.010923 seconds of system run time
% 0.19/0.58 0 calls to %EVAL
% 0.19/0.58 0 page faults and
% 0.19/0.58 5,379,920 bytes consed.
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:09:27
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 *
%------------------------------------------------------------------------------