%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM926+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14.55s 14.77s
% Output : Refutation 14.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 20 unt; 2 nHn; 17 RR)
% Number of literals : 30 ( 21 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-4 aty)
% Number of variables : 21 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(51,hypothesis,
ti(int,bit0(X)) = bit0(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_res) ).
cnf(53,hypothesis,
ti(int,bit1(X)) = bit1(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit1_res) ).
cnf(98,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_v_t_____res) ).
cnf(99,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
cnf(100,axiom,
( t != one_one(int)
| hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,'SKOLEMAAAV1'),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,'SKOLEMAAAV2'),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,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(101,axiom,
( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
| hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,'SKOLEMAAAV3'),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,'SKOLEMAAAV4'),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,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(124,axiom,
( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X),Y))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X),Y))
| ti(int,X) = ti(int,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_zless__le) ).
cnf(198,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_87_zmult__commute) ).
cnf(199,axiom,
number_number_of(int,X) = ti(int,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_number__of__is__id) ).
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_91_zadd__commute) ).
cnf(289,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_one__is__num__one) ).
cnf(1702,negated_conjecture,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,Y),number_number_of(nat,bit0(bit1(pls))))) != hAPP(int,int,plus_plus(int,hAPP(int,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(1703,plain,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,Y),number_number_of(nat,bit0(bit1(pls))))) != hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),number_number_of(int,bit0(bit0(bit1(pls)))))),
inference('REWRITE',[status(thm)],[1702,202,198,theory(equality)]) ).
cnf(1827,plain,
number_number_of(int,t) = t,
inference('REWRITE',[status(thm)],[98,199,theory(equality)]) ).
cnf(1856,plain,
number_number_of(int,bit1(X)) = bit1(X),
inference('REWRITE',[status(thm)],[53,199,theory(equality)]) ).
cnf(1867,plain,
one_one(int) = bit1(pls),
inference('REWRITE',[status(thm)],[289,1856,theory(equality)]) ).
cnf(1868,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(pls)),t)),
inference('REWRITE',[status(thm)],[99,1867,theory(equality)]) ).
cnf(1939,plain,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,Y),number_number_of(nat,bit0(bit1(pls))))) != hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,times_times(int,m),number_number_of(int,bit0(bit0(bit1(pls)))))),
inference('REWRITE',[status(thm)],[1703,1867,theory(equality)]) ).
cnf(1973,plain,
number_number_of(int,bit0(X)) = bit0(X),
inference('REWRITE',[status(thm)],[51,199,theory(equality)]) ).
cnf(1983,plain,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,Y),number_number_of(nat,bit0(bit1(pls))))) != hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,times_times(int,m),bit0(bit0(bit1(pls))))),
inference('REWRITE',[status(thm)],[1939,1973,theory(equality)]) ).
cnf(2063,plain,
( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X),Y))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X),Y))
| number_number_of(int,X) = number_number_of(int,Y) ),
inference('REWRITE',[status(thm)],[124,199,theory(equality)]) ).
cnf(2070,plain,
t != bit1(pls),
inference('REWRITE',[status(thm)],[100,1983,202,1973,1867,198,theory(equality)]) ).
cnf(2071,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(pls)),t)),
inference('REWRITE',[status(thm)],[101,1983,202,1973,1867,198,theory(equality)]) ).
cnf(11426,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2063,2071,1868]),2070,1827,1856,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM926+7 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jul 6 09:19:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T09:19:48
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-06T09:19:48
% 14.55/14.77
% 14.55/14.77
% 14.55/14.77 #||
% 14.55/14.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.55/14.77 % SZS output start Refutation
% See solution above
% 14.55/14.78 ||#
% 14.55/14.78
% 14.55/14.78 ; Summary of computation:
% 14.55/14.78 ; 33971 formulas have been input or derived (from 876 formulas).
% 14.55/14.78 ; 11426 (34%) were retained. Of these,
% 14.55/14.78 ; 1981 (17%) were simplified or subsumed later,
% 14.55/14.78 ; 9445 (83%) are still being kept.
% 14.55/14.78 ;
% 14.55/14.78 ; Run time in seconds excluding printing time:
% 14.55/14.78 ; 0.346 2% Read assertion file (1 call)
% 14.55/14.78 ; 0.038 0% Assert (1,255 calls)
% 14.55/14.78 ; 2.363 17% Process new row (29,495 calls)
% 14.55/14.78 ; 1.066 7% Resolution (1,750 calls)
% 14.55/14.78 ; 0.188 1% Paramodulation (875 calls)
% 14.55/14.78 ; 0.000 0% Factoring (16 calls)
% 14.55/14.78 ; 0.135 1% Condensing (7,929 calls)
% 14.55/14.78 ; 4.475 31% Forward subsumption (7,929 calls)
% 14.55/14.78 ; 0.490 3% Backward subsumption (5,290 calls)
% 14.55/14.78 ; 0.082 1% Clause clause subsumption (9,322 calls)
% 14.55/14.78 ; 2.399 17% Forward simplification (29,491 calls)
% 14.55/14.78 ; 0.547 4% Backward simplification (11,169 calls)
% 14.55/14.78 ; 2.000 14% Ordering (176,297 calls)
% 14.55/14.78 ; 0.000 0% Sortal reasoning (32 calls)
% 14.55/14.78 ; 0.003 0% Purity testing (1 call)
% 14.55/14.78 ; 0.144 1% Other
% 14.55/14.78 ; 14.276 Total
% 14.55/14.78 ; 14.279 Real time
% 14.55/14.78 ;
% 14.55/14.78 ; Term-hash-array has 27,787 terms in all.
% 14.55/14.78 ; Feature-vector-row-index has 4,767 entries (4,767 at peak, 5,290 added, 523 deleted).
% 14.55/14.78 ; Feature-vector-row-index has 67,131 nodes (67,131 at peak, 77,929 added, 10,798 deleted).
% 14.55/14.78 ; Retrieved 25,449 possibly forward subsuming rows in 7,929 calls.
% 14.55/14.78 ; Retrieved 3,633 possibly backward subsumed rows in 5,290 calls.
% 14.55/14.78 ; Path-index has 24,317 entries (24,317 at peak, 28,360 added, 4,043 deleted).
% 14.55/14.78 ; Path-index has 39,720 nodes (39,720 at peak, 43,238 added, 3,518 deleted).
% 14.55/14.78 ; Trie-index has 24,317 entries (24,317 at peak, 28,360 added, 4,043 deleted).
% 14.55/14.78 ; Trie-index has 150,960 nodes (150,960 at peak, 190,671 added, 39,711 deleted).
% 14.55/14.78 ; Retrieved 282,368 generalization terms in 289,155 calls.
% 14.55/14.78 ; Retrieved 21,752 instance terms in 7,650 calls.
% 14.55/14.78 ; Retrieved 1,143,520 unifiable terms in 16,156 calls.
% 14.55/14.78 ;
% 14.55/14.78 ; The agenda of rows to process has 19 entries:
% 14.55/14.78 ; 5 with value 27 2 with value 44 1 with value 53
% 14.55/14.78 ; 2 with value 30 2 with value 49 1 with value 59
% 14.55/14.78 ; 2 with value 33 1 with value 50 1 with value 61
% 14.55/14.78 ; 1 with value 43 1 with value 52
% 14.55/14.78 ; The agenda of input rows to give has 530 entries:
% 14.55/14.78 ; 2 with value 43 26 with value 64 7 with value 86
% 14.55/14.78 ; 20 with value 44 22 with value 65 6 with value 87
% 14.55/14.78 ; 17 with value 45 7 with value 66 1 with value 88
% 14.55/14.78 ; 11 with value 46 13 with value 67 2 with value 89
% 14.55/14.78 ; 36 with value 47 38 with value 68 2 with value 91
% 14.55/14.78 ; 23 with value 48 2 with value 69 4 with value 92
% 14.55/14.78 ; 18 with value 49 1 with value 70 1 with value 93
% 14.55/14.78 ; 29 with value 50 4 with value 71 2 with value 97
% 14.55/14.78 ; 16 with value 51 3 with value 72 1 with value 98
% 14.55/14.78 ; 10 with value 52 4 with value 73 4 with value 100
% 14.55/14.78 ; 16 with value 53 4 with value 74 6 with value 101
% 14.55/14.78 ; 8 with value 54 2 with value 75 6 with value 103
% 14.55/14.78 ; 12 with value 55 8 with value 76 1 with value 105
% 14.55/14.78 ; 14 with value 56 5 with value 77 2 with value 106
% 14.55/14.78 ; 13 with value 57 3 with value 78 2 with value 112
% 14.55/14.78 ; 13 with value 58 5 with value 79 1 with value 118
% 14.55/14.78 ; 9 with value 59 1 with value 80 2 with value 124
% 14.55/14.78 ; 16 with value 60 5 with value 81 1 with value 129
% 14.55/14.78 ; 7 with value 61 3 with value 82 1 with value 148
% 14.55/14.78 ; 3 with value 62 2 with value 83 1 with value 149
% 14.55/14.78 ; 20 with value 63 6 with value 84
% 14.55/14.78 ; The agenda of rows to give has 8058 entries:
% 14.55/14.78 ; 4 with value (4 7) 211 with value (4 39) 53 with value (4 70)
% 14.55/14.78 ; 7 with value (4 8) 188 with value (4 40) 49 with value (4 71)
% 14.55/14.78 ; 5 with value (4 9) 189 with value (4 41) 54 with value (4 72)
% 14.55/14.78 ; 7 with value (4 10) 250 with value (4 42) 31 with value (4 73)
% 14.55/14.78 ; 13 with value (4 11) 324 with value (4 43) 37 with value (4 74)
% 14.55/14.78 ; 2 with value (4 12) 285 with value (4 44) 34 with value (4 75)
% 14.55/14.78 ; 19 with value (4 13) 221 with value (4 45) 42 with value (4 76)
% 14.55/14.78 ; 15 with value (4 14) 184 with value (4 46) 36 with value (4 77)
% 14.55/14.78 ; 49 with value (4 15) 239 with value (4 47) 18 with value (4 78)
% 14.55/14.78 ; 28 with value (4 16) 198 with value (4 48) 27 with value (4 79)
% 14.55/14.78 ; 18 with value (4 17) 237 with value (4 49) 8 with value (4 80)
% 14.55/14.78 ; 28 with value (4 18) 179 with value (4 50) 24 with value (4 81)
% 14.55/14.78 ; 67 with value (4 19) 223 with value (4 51) 13 with value (4 82)
% 14.55/14.78 ; 75 with value (4 20) 266 with value (4 52) 16 with value (4 83)
% 14.55/14.78 ; 41 with value (4 21) 264 with value (4 53) 21 with value (4 84)
% 14.55/14.78 ; 71 with value (4 22) 171 with value (4 54) 12 with value (4 85)
% 14.55/14.78 ; 71 with value (4 23) 163 with value (4 55) 11 with value (4 86)
% 14.55/14.78 ; 45 with value (4 24) 98 with value (4 56) 6 with value (4 87)
% 14.55/14.78 ; 78 with value (4 25) 110 with value (4 57) 4 with value (4 88)
% 14.55/14.78 ; 58 with value (4 26) 188 with value (4 58) 4 with value (4 89)
% 14.55/14.78 ; 61 with value (4 27) 200 with value (4 59) 9 with value (4 90)
% 14.55/14.78 ; 67 with value (4 28) 140 with value (4 60) 10 with value (4 91)
% 14.55/14.78 ; 63 with value (4 29) 123 with value (4 61) 3 with value (4 92)
% 14.55/14.78 ; 87 with value (4 30) 102 with value (4 62) 3 with value (4 93)
% 14.55/14.78 ; 109 with value (4 31) 67 with value (4 63) 3 with value (4 94)
% 14.55/14.78 ; 112 with value (4 32) 92 with value (4 64) 1 with value (4 97)
% 14.55/14.78 ; 135 with value (4 33) 119 with value (4 65) 1 with value (4 101)
% 14.55/14.78 ; 88 with value (4 34) 73 with value (4 66) 7 with value (4 103)
% 14.55/14.78 ; 127 with value (4 35) 90 with value (4 67) 1 with value (4 105)
% 14.55/14.78 ; 197 with value (4 36) 79 with value (4 68) 4 with value (4 108)
% 14.55/14.78 ; 187 with value (4 37) 49 with value (4 69) 3 with value (4 109)
% 14.55/14.78 ; 257 with value (4 38)
% 14.55/14.78 Evaluation took:
% 14.55/14.78 14.287 seconds of real time
% 14.55/14.78 13.470503 seconds of user run time
% 14.55/14.78 0.816536 seconds of system run time
% 14.55/14.78 [Run times include 2.948 seconds GC run time.]
% 14.55/14.78 0 calls to %EVAL
% 14.55/14.78 0 page faults and
% 14.55/14.78 1,089,533,224 bytes consed.
% 14.55/14.78 :PROOF-FOUND
% 14.55/14.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T09:20:03
% 14.55/14.78 :PROOF-FOUND
% 14.55/14.78 *
%------------------------------------------------------------------------------