TSTP Solution File: NUM924+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM924+3 : 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 14:15:12 EDT 2022
% Result : Theorem 1.05s 1.22s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 14 RR)
% Number of literals : 32 ( 27 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
cnf(29,axiom,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
cnf(76,axiom,
hAPP_int_int(times_times_int(X),Y) = hAPP_int_int(times_times_int(Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zmult__commute) ).
cnf(146,axiom,
hAPP_int_int(times_times_int(bit0(X)),Y) = bit0(hAPP_int_int(times_times_int(X),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_mult__Bit0) ).
cnf(202,axiom,
hAPP_int_int(plus_plus_int(X),Y) = hAPP_int_int(plus_plus_int(Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_zadd__commute) ).
cnf(251,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_Pls__def) ).
cnf(262,axiom,
bit0(X) = hAPP_int_int(plus_plus_int(X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_Bit0__def) ).
cnf(267,axiom,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),number_number_of_int(X)) = number_number_of_int(bit0(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_double__number__of__Bit0) ).
cnf(268,plain,
bit0(hAPP_int_int(times_times_int(one_one_int),number_number_of_int(X))) = number_number_of_int(bit0(X)),
inference('REWRITE',[status(thm)],[267,146,262,theory(equality)]) ).
cnf(291,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_semiring__numeral__0__eq__0) ).
cnf(292,plain,
number_number_of_int(pls) = pls,
inference('REWRITE',[status(thm)],[291,251,theory(equality)]) ).
cnf(318,axiom,
bit1(X) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_Bit1__def) ).
cnf(319,plain,
bit1(X) = hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(one_one_int),X)),
inference('REWRITE',[status(thm)],[318,202,theory(equality)]) ).
cnf(333,axiom,
number_number_of_int(bit1(X)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X))),number_number_of_int(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_number__of__Bit1) ).
cnf(334,plain,
number_number_of_int(bit1(X)) = bit1(number_number_of_int(X)),
inference('REWRITE',[status(thm)],[333,319,202,theory(equality)]) ).
cnf(336,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_semiring__numeral__1__eq__1) ).
cnf(337,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[336,292,334,theory(equality)]) ).
cnf(340,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_numeral__1__eq__1) ).
cnf(341,plain,
number_number_of_int(one_one_int) = one_one_int,
inference('REWRITE',[status(thm)],[340,337,theory(equality)]) ).
cnf(412,axiom,
hAPP_int_int(times_times_int(X),X) = hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
cnf(413,plain,
hAPP_int_int(times_times_int(X),X) = hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(one_one_int))),
inference('REWRITE',[status(thm)],[412,337,theory(equality)]) ).
cnf(514,axiom,
hAPP_int_int(times_times_int(X),zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
cnf(515,plain,
hAPP_int_int(times_times_int(X),pls) = pls,
inference('REWRITE',[status(thm)],[514,251,theory(equality)]) ).
cnf(563,axiom,
hAPP_int_int(plus_plus_int(X),X) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_415_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
cnf(564,plain,
bit0(X) = bit0(hAPP_int_int(times_times_int(one_one_int),X)),
inference('REWRITE',[status(thm)],[563,146,262,theory(equality)]) ).
cnf(1810,axiom,
hAPP_int_bool(cOMBC_int_int_bool(X,Y),Z) = hAPP_int_bool(hAPP_i1948725293t_bool(X,Z),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U) ).
cnf(1813,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1814,plain,
~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
inference('REWRITE',[status(thm)],[1813,1810,251,202,413,337,theory(equality)]) ).
cnf(1975,plain,
bit0(number_number_of_int(X)) = number_number_of_int(bit0(X)),
inference('REWRITE',[status(thm)],[268,564,theory(equality)]) ).
cnf(2071,plain,
hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),bit0(bit0(hAPP_int_int(times_times_int(m),one_one_int))))))),
inference('REWRITE',[status(thm)],[28,1810,515,251,202,146,341,1975,337,76,theory(equality)]) ).
cnf(2072,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)) = hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),bit0(bit0(hAPP_int_int(times_times_int(m),one_one_int))))),
inference('REWRITE',[status(thm)],[29,146,341,1975,202,413,337,76,theory(equality)]) ).
cnf(2073,plain,
$false,
inference('REWRITE',[status(thm)],[2071,1814,2072,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 22:34:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T22:34:28
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T22:34:28
% 0.60/0.78
% 0.60/0.79 ; Recognized possible left inverse assertion (= (|hAPP_nat_nat| (|minus_minus_nat| ?X) ?X) |zero_zero_nat|).
% 1.05/1.22 ; Recognized possible left inverse assertion (= (|hAPP_int_int| (|div_mod_int| ?X) ?X) |zero_zero_int|).
% 1.05/1.22
% 1.05/1.22 #||
% 1.05/1.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.22 % SZS output start Refutation
% See solution above
% 1.09/1.26 ||#
% 1.09/1.26
% 1.09/1.26 ; Summary of computation:
% 1.09/1.26 ; 2557 formulas have been input or derived (from 1 formulas).
% 1.09/1.26 ; 2073 (81%) were retained. Of these,
% 1.09/1.26 ; 827 (40%) were simplified or subsumed later,
% 1.09/1.26 ; 1246 (60%) are still being kept.
% 1.09/1.26 ;
% 1.09/1.26 ; Run time in seconds excluding printing time:
% 1.09/1.26 ; 0.257 35% Read assertion file (1 call)
% 1.09/1.26 ; 0.033 5% Assert (1,230 calls)
% 1.09/1.26 ; 0.134 18% Process new row (2,099 calls)
% 1.09/1.26 ; 0.017 2% Condensing (1,514 calls)
% 1.09/1.26 ; 0.114 16% Forward subsumption (1,514 calls)
% 1.09/1.26 ; 0.029 4% Backward subsumption (1,205 calls)
% 1.09/1.26 ; 0.008 1% Clause clause subsumption (1,331 calls)
% 1.09/1.26 ; 0.054 7% Forward simplification (2,099 calls)
% 1.09/1.26 ; 0.028 4% Backward simplification (1,621 calls)
% 1.09/1.26 ; 0.026 4% Ordering (3,583 calls)
% 1.09/1.26 ; 0.000 0% Sortal reasoning (32 calls)
% 1.09/1.26 ; 0.002 0% Purity testing (1 call)
% 1.09/1.26 ; 0.029 4% Other
% 1.09/1.26 ; 0.731 Total
% 1.09/1.26 ; 0.765 Real time
% 1.09/1.26 ;
% 1.09/1.26 ; Term-hash-array has 3,602 terms in all.
% 1.09/1.26 ; Feature-vector-row-index has 948 entries (948 at peak, 1,205 added, 257 deleted).
% 1.09/1.26 ; Feature-vector-row-index has 9,774 nodes (9,774 at peak, 12,877 added, 3,103 deleted).
% 1.09/1.26 ; Retrieved 1,387 possibly forward subsuming rows in 1,514 calls.
% 1.09/1.26 ; Retrieved 455 possibly backward subsumed rows in 1,205 calls.
% 1.09/1.26 ; Path-index has 3,030 entries (3,032 at peak, 3,858 added, 828 deleted).
% 1.09/1.26 ; Path-index has 6,486 nodes (6,494 at peak, 7,447 added, 961 deleted).
% 1.09/1.26 ; Trie-index has 3,030 entries (3,032 at peak, 3,858 added, 828 deleted).
% 1.09/1.26 ; Trie-index has 8,782 nodes (8,802 at peak, 12,801 added, 4,019 deleted).
% 1.09/1.26 ; Retrieved 6,833 generalization terms in 11,221 calls.
% 1.09/1.26 ; Retrieved 1,381 instance terms in 550 calls.
% 1.09/1.26 ;
% 1.09/1.26 ; The agenda of backward simplifiable rows to process has 3 entries:
% 1.09/1.26 ; 3 with value 0
% 1.09/1.26 ; The agenda of input rows to give has 1245 entries:
% 1.09/1.26 ; 11 with value 3 57 with value 26 9 with value 48
% 1.09/1.26 ; 5 with value 4 38 with value 27 3 with value 49
% 1.09/1.26 ; 2 with value 5 13 with value 28 7 with value 50
% 1.09/1.26 ; 16 with value 6 11 with value 29 3 with value 51
% 1.09/1.26 ; 1 with value 7 28 with value 30 7 with value 52
% 1.09/1.26 ; 5 with value 8 60 with value 31 19 with value 53
% 1.09/1.26 ; 72 with value 9 20 with value 32 1 with value 54
% 1.09/1.26 ; 4 with value 10 3 with value 33 6 with value 55
% 1.09/1.26 ; 8 with value 11 16 with value 34 2 with value 56
% 1.09/1.26 ; 24 with value 12 100 with value 35 4 with value 57
% 1.09/1.26 ; 49 with value 13 3 with value 36 5 with value 58
% 1.09/1.26 ; 15 with value 14 20 with value 37 1 with value 59
% 1.09/1.26 ; 19 with value 15 9 with value 38 2 with value 60
% 1.09/1.26 ; 37 with value 16 11 with value 39 3 with value 61
% 1.09/1.26 ; 27 with value 17 29 with value 40 1 with value 63
% 1.09/1.26 ; 27 with value 18 9 with value 41 2 with value 64
% 1.09/1.26 ; 74 with value 19 17 with value 42 3 with value 67
% 1.09/1.26 ; 60 with value 20 9 with value 43 1 with value 68
% 1.09/1.26 ; 48 with value 21 15 with value 44 2 with value 69
% 1.09/1.26 ; 56 with value 22 13 with value 45 3 with value 70
% 1.09/1.26 ; 52 with value 23 7 with value 46 2 with value 74
% 1.09/1.26 ; 29 with value 24 5 with value 47 2 with value 83
% 1.09/1.26 ; 23 with value 25
% 1.09/1.26 Evaluation took:
% 1.09/1.26 0.766 seconds of real time
% 1.09/1.26 0.732771 seconds of user run time
% 1.09/1.26 0.033173 seconds of system run time
% 1.09/1.26 [Run times include 0.067 seconds GC run time.]
% 1.09/1.26 0 calls to %EVAL
% 1.09/1.26 0 page faults and
% 1.09/1.26 63,860,376 bytes consed.
% 1.09/1.26 :PROOF-FOUND
% 1.09/1.26 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T22:34:28
% 1.09/1.26 :PROOF-FOUND
% 1.09/1.26 *
%------------------------------------------------------------------------------