TSTP Solution File: NUM924+5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM924+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:15:13 EDT 2022
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 31 ( 27 unt; 0 nHn; 19 RR)
% Number of literals : 36 ( 17 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(52,axiom,
ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(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(53,axiom,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(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(72,axiom,
( ~ number_ring(X)
| plus_plus(X,number_number_of(X,Y),one_one(X)) = number_number_of(X,plus_plus(int,Y,bit1(pls))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_add__special_I3_J) ).
cnf(78,axiom,
ord_less_eq(int,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_zle__refl) ).
cnf(79,axiom,
number_number_of(int,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).
cnf(80,axiom,
times_times(int,X,Y) = times_times(int,Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zmult__commute) ).
cnf(84,axiom,
times_times(int,times_times(int,X,Y),Z) = times_times(int,X,times_times(int,Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_zmult__assoc) ).
cnf(86,axiom,
( ~ ord_less_eq(int,X,Y)
| ~ ord_less_eq(int,Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_zle__antisym) ).
cnf(118,axiom,
( ord_less_eq(int,bit0(X),pls)
| ~ ord_less_eq(int,X,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_rel__simps_I27_J) ).
cnf(120,axiom,
( ord_less_eq(int,pls,bit0(X))
| ~ ord_less_eq(int,pls,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_rel__simps_I21_J) ).
cnf(128,axiom,
times_times(int,pls,X) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_mult__Pls) ).
cnf(129,axiom,
times_times(int,bit0(X),Y) = bit0(times_times(int,X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_mult__Bit0) ).
cnf(131,axiom,
times_times(int,one_one(int),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_zmult__1) ).
cnf(132,axiom,
times_times(int,plus_plus(int,X,Y),Z) = plus_plus(int,times_times(int,X,Z),times_times(int,Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_zadd__zmult__distrib) ).
cnf(133,axiom,
times_times(int,X,plus_plus(int,Y,Z)) = plus_plus(int,times_times(int,X,Y),times_times(int,X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_zadd__zmult__distrib2) ).
cnf(172,axiom,
zero_zero(int) = number_number_of(int,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_zero__is__num__zero) ).
cnf(173,plain,
zero_zero(int) = pls,
inference('REWRITE',[status(thm)],[172,79,theory(equality)]) ).
cnf(182,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
cnf(191,negated_conjecture,
~ ord_less(int,plus_plus(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(192,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),pls),
inference('REWRITE',[status(thm)],[191,173,theory(equality)]) ).
cnf(203,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),plus_plus(int,bit0(bit0(times_times(int,bit1(pls),times_times(int,m,pls)))),pls)),
inference('REWRITE',[status(thm)],[52,131,84,132,173,129,79,53,theory(equality)]) ).
cnf(210,plain,
times_times(int,X,pls) = pls,
inference('PARAMODULATE',[status(thm)],[128,80,theory(equality)]) ).
cnf(211,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),plus_plus(int,bit0(bit0(pls)),pls)),
inference('REWRITE',[status(thm)],[203,210,theory(equality)]) ).
cnf(223,plain,
ord_less_eq(int,bit0(pls),pls),
inference('HYPERRESOLVE',[status(thm)],[118,78]) ).
cnf(225,plain,
ord_less_eq(int,pls,bit0(pls)),
inference('HYPERRESOLVE',[status(thm)],[120,78]) ).
cnf(369,plain,
plus_plus(int,pls,pls) = pls,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[128,133,theory(equality)]),128,theory(equality)]) ).
cnf(391,plain,
plus_plus(int,X,one_one(int)) = plus_plus(int,X,bit1(pls)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[72,182]),79,theory(equality)]) ).
cnf(426,plain,
~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),bit1(pls)),pls),
inference('REWRITE',[status(thm)],[192,391,theory(equality)]) ).
cnf(429,plain,
ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),bit1(pls)),plus_plus(int,bit0(bit0(pls)),pls)),
inference('REWRITE',[status(thm)],[211,391,theory(equality)]) ).
cnf(738,plain,
bit0(pls) = pls,
inference('HYPERRESOLVE',[status(thm)],[86,225,223]) ).
cnf(739,plain,
$false,
inference('REWRITE',[status(thm)],[429,426,369,738,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924+5 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 21:35:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T21:35:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-06T21:35:53
% 0.18/0.51
% 0.18/0.51 ; Recognized possible left identity assertion (|ord_less_eq| |int| ?X ?X).
% 0.59/0.79 ; Recognized left identity assertion (= (|number_number_of| |int| ?X) ?X).
% 0.59/0.79
% 0.59/0.79 #||
% 0.59/0.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.79 % SZS output start Refutation
% See solution above
% 0.59/0.79 ||#
% 0.59/0.79
% 0.59/0.79 ; Summary of computation:
% 0.59/0.79 ; 2493 formulas have been input or derived (from 211 formulas).
% 0.59/0.79 ; 739 (30%) were retained. Of these,
% 0.59/0.79 ; 143 (19%) were simplified or subsumed later,
% 0.59/0.79 ; 596 (81%) are still being kept.
% 0.59/0.79 ;
% 0.59/0.79 ; Run time in seconds excluding printing time:
% 0.59/0.79 ; 0.035 11% Read assertion file (1 call)
% 0.59/0.79 ; 0.007 2% Assert (155 calls)
% 0.59/0.79 ; 0.061 18% Process new row (1,821 calls)
% 0.59/0.79 ; 0.036 11% Resolution (420 calls)
% 0.59/0.79 ; 0.011 3% Paramodulation (210 calls)
% 0.59/0.79 ; 0.000 0% Factoring (4 calls)
% 0.59/0.79 ; 0.009 3% Condensing (615 calls)
% 0.59/0.79 ; 0.032 10% Forward subsumption (615 calls)
% 0.59/0.79 ; 0.010 3% Backward subsumption (379 calls)
% 0.59/0.80 ; 0.011 3% Clause clause subsumption (1,237 calls)
% 0.59/0.80 ; 0.045 14% Forward simplification (1,819 calls)
% 0.59/0.80 ; 0.009 3% Backward simplification (736 calls)
% 0.59/0.80 ; 0.034 10% Ordering (4,264 calls)
% 0.59/0.80 ; 0.000 0% Sortal reasoning (32 calls)
% 0.59/0.80 ; 0.000 0% Purity testing (1 call)
% 0.59/0.80 ; 0.032 10% Other
% 0.59/0.80 ; 0.332 Total
% 0.59/0.80 ; 0.335 Real time
% 0.59/0.80 ;
% 0.59/0.80 ; Term-hash-array has 1,159 terms in all.
% 0.59/0.80 ; Feature-vector-row-index has 335 entries (346 at peak, 379 added, 44 deleted).
% 0.59/0.80 ; Feature-vector-row-index has 2,006 nodes (2,120 at peak, 2,409 added, 403 deleted).
% 0.59/0.80 ; Retrieved 1,229 possibly forward subsuming rows in 615 calls.
% 0.59/0.80 ; Retrieved 250 possibly backward subsumed rows in 379 calls.
% 0.59/0.80 ; Path-index has 964 entries (1,028 at peak, 1,196 added, 232 deleted).
% 0.59/0.80 ; Path-index has 3,211 nodes (3,253 at peak, 3,539 added, 328 deleted).
% 0.59/0.80 ; Trie-index has 964 entries (1,028 at peak, 1,196 added, 232 deleted).
% 0.59/0.80 ; Trie-index has 4,566 nodes (4,807 at peak, 5,757 added, 1,191 deleted).
% 0.59/0.80 ; Retrieved 5,002 generalization terms in 9,901 calls.
% 0.59/0.80 ; Retrieved 597 instance terms in 427 calls.
% 0.59/0.80 ; Retrieved 21,894 unifiable terms in 3,024 calls.
% 0.59/0.80 ;
% 0.59/0.80 ; The agenda of backward simplifiable rows to process has 43 entries:
% 0.59/0.80 ; 43 with value 0
% 0.59/0.80 ; The agenda of rows to process has 117 entries:
% 0.59/0.80 ; 5 with value 9 2 with value 15 16 with value 28
% 0.59/0.80 ; 3 with value 10 4 with value 16 4 with value 30
% 0.59/0.80 ; 8 with value 11 1 with value 17 1 with value 34
% 0.59/0.80 ; 10 with value 12 16 with value 23 1 with value 36
% 0.59/0.80 ; 1 with value 13 34 with value 25 2 with value 39
% 0.59/0.80 ; 9 with value 14
% 0.59/0.80 ; The agenda of rows to give has 410 entries:
% 0.59/0.80 ; 5 with value (4 8) 9 with value (4 24) 9 with value (4 40)
% 0.59/0.80 ; 13 with value (4 9) 14 with value (4 25) 9 with value (4 41)
% 0.59/0.80 ; 10 with value (4 10) 26 with value (4 26) 3 with value (4 42)
% 0.59/0.80 ; 16 with value (4 11) 6 with value (4 27) 1 with value (4 43)
% 0.59/0.80 ; 11 with value (4 12) 10 with value (4 28) 6 with value (4 44)
% 0.59/0.80 ; 19 with value (4 13) 17 with value (4 29) 4 with value (4 45)
% 0.59/0.80 ; 16 with value (4 14) 3 with value (4 30) 4 with value (4 46)
% 0.59/0.80 ; 26 with value (4 15) 10 with value (4 31) 2 with value (4 47)
% 0.59/0.80 ; 9 with value (4 16) 7 with value (4 32) 2 with value (4 48)
% 0.59/0.80 ; 15 with value (4 17) 8 with value (4 33) 2 with value (4 49)
% 0.59/0.80 ; 10 with value (4 18) 5 with value (4 34) 3 with value (4 50)
% 0.59/0.80 ; 24 with value (4 19) 3 with value (4 35) 2 with value (4 51)
% 0.59/0.80 ; 19 with value (4 20) 4 with value (4 36) 1 with value (4 54)
% 0.59/0.80 ; 17 with value (4 21) 5 with value (4 38) 1 with value (4 65)
% 0.59/0.80 ; 11 with value (4 22) 9 with value (4 39) 1 with value (4 68)
% 0.59/0.80 ; 3 with value (4 23)
% 0.59/0.80 Evaluation took:
% 0.59/0.80 0.336 seconds of real time
% 0.59/0.80 0.29945 seconds of user run time
% 0.59/0.80 0.036062 seconds of system run time
% 0.59/0.80 [Run times include 0.009 seconds GC run time.]
% 0.59/0.80 0 calls to %EVAL
% 0.59/0.80 0 page faults and
% 0.59/0.80 24,096,488 bytes consed.
% 0.59/0.80 :PROOF-FOUND
% 0.59/0.80 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T21:35:53
% 0.59/0.80 :PROOF-FOUND
% 0.59/0.80 *
%------------------------------------------------------------------------------