%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM925+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:15:18 EDT 2022
% Result : Theorem 1.13s 1.33s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 28 ( 25 unt; 0 nHn; 20 RR)
% Number of literals : 32 ( 23 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-4 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
( ~ number(X)
| number_number_of(X,ti(int,Y)) = number_number_of(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_Onumber__class_Onumber__of_arg1) ).
cnf(47,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
cnf(74,axiom,
hAPP(int,int,plus_plus(int,hAPP(nat,int,semiring_1_of_nat(int),X)),hAPP(nat,int,semiring_1_of_nat(int),Y)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,plus_plus(nat,X),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zadd__int) ).
cnf(75,axiom,
hAPP(nat,int,semiring_1_of_nat(int),one_one(nat)) = one_one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_int__1) ).
cnf(80,axiom,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_nat__1__add__1) ).
cnf(102,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_47_zadd__commute) ).
cnf(142,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Pls__def) ).
cnf(148,axiom,
hAPP(int,int,bit0,X) = hAPP(int,int,plus_plus(int,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_Bit0__def) ).
cnf(183,axiom,
number_number_of(int,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,int,semiring_1_of_nat(int),number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_transfer__int__nat__numerals_I3_J) ).
cnf(184,plain,
number_number_of(int,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(int,int,bit0,one_one(int)),
inference('REWRITE',[status(thm)],[183,148,75,74,80,theory(equality)]) ).
cnf(209,axiom,
number_number_of(int,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_number__of__is__id) ).
cnf(259,axiom,
( ~ ring_11004092258visors(X)
| ti(X,Y) = zero_zero(X)
| hAPP(nat,X,power_power(X,Y),Z) != zero_zero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_field__power__not__zero) ).
cnf(363,axiom,
( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X),Y))
| X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_zless__le) ).
cnf(461,axiom,
hAPP(int,int,succ,X) = hAPP(int,int,plus_plus(int,X),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_320_succ__def) ).
cnf(686,axiom,
ring_11004092258visors(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring__1__no__zero__divisors) ).
cnf(713,axiom,
number(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber) ).
cnf(792,negated_conjecture,
hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(793,plain,
hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))) = pls,
inference('REWRITE',[status(thm)],[792,142,80,theory(equality)]) ).
cnf(805,plain,
hAPP(int,int,bit0,hAPP(int,int,bit1,pls)) = hAPP(int,int,bit0,one_one(int)),
inference('REWRITE',[status(thm)],[184,209,theory(equality)]) ).
cnf(808,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,bit0,one_one(int))),
inference('REWRITE',[status(thm)],[80,805,theory(equality)]) ).
cnf(829,plain,
hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,one_one(int)))) = pls,
inference('REWRITE',[status(thm)],[793,808,theory(equality)]) ).
cnf(852,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n)))),
inference('REWRITE',[status(thm)],[47,142,theory(equality)]) ).
cnf(894,plain,
ti(int,X) = X,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,713]),209,theory(equality)]) ).
cnf(946,plain,
hAPP(int,int,succ,X) = hAPP(int,int,plus_plus(int,one_one(int)),X),
inference('PARAMODULATE',[status(thm)],[461,102,theory(equality)]) ).
cnf(949,plain,
hAPP(nat,int,power_power(int,hAPP(int,int,succ,hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,hAPP(int,int,bit0,one_one(int)))) = pls,
inference('REWRITE',[status(thm)],[829,946,theory(equality)]) ).
cnf(950,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,succ,hAPP(nat,int,semiring_1_of_nat(int),n)))),
inference('REWRITE',[status(thm)],[852,946,theory(equality)]) ).
cnf(1148,plain,
pls != hAPP(int,int,succ,hAPP(nat,int,semiring_1_of_nat(int),n)),
inference('UR-RESOLVE',[status(thm)],[363,950]) ).
cnf(1357,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[259,949,theory(equality)]),1148,142,894,686,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM925+6 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Thu Jul 7 09:50:26 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T09:50:26
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-07T09:50:26
% 0.48/0.66
% 1.13/1.33 ; Recognized left identity assertion (= (|number_number_of| |int| ?X) ?X).
% 1.13/1.33
% 1.13/1.33 #||
% 1.13/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.33 % SZS output start Refutation
% See solution above
% 1.13/1.34 ||#
% 1.13/1.34
% 1.13/1.34 ; Summary of computation:
% 1.13/1.34 ; 6612 formulas have been input or derived (from 328 formulas).
% 1.13/1.34 ; 1357 (21%) were retained. Of these,
% 1.13/1.34 ; 206 (15%) were simplified or subsumed later,
% 1.13/1.34 ; 1151 (85%) are still being kept.
% 1.13/1.34 ;
% 1.13/1.34 ; Run time in seconds excluding printing time:
% 1.13/1.34 ; 0.188 21% Read assertion file (1 call)
% 1.13/1.34 ; 0.016 2% Assert (660 calls)
% 1.13/1.34 ; 0.153 17% Process new row (5,326 calls)
% 1.13/1.34 ; 0.091 10% Resolution (654 calls)
% 1.13/1.34 ; 0.014 2% Paramodulation (327 calls)
% 1.13/1.34 ; 0.000 0% Factoring (2 calls)
% 1.13/1.34 ; 0.013 1% Condensing (1,127 calls)
% 1.13/1.34 ; 0.142 16% Forward subsumption (1,127 calls)
% 1.13/1.34 ; 0.024 3% Backward subsumption (775 calls)
% 1.13/1.34 ; 0.005 1% Clause clause subsumption (829 calls)
% 1.13/1.34 ; 0.163 19% Forward simplification (5,323 calls)
% 1.13/1.34 ; 0.016 2% Backward simplification (1,292 calls)
% 1.13/1.34 ; 0.016 2% Ordering (5,733 calls)
% 1.13/1.34 ; 0.001 0% Sortal reasoning (32 calls)
% 1.13/1.34 ; 0.001 0% Purity testing (1 call)
% 1.13/1.34 ; 0.038 4% Other
% 1.13/1.34 ; 0.881 Total
% 1.13/1.34 ; 0.884 Real time
% 1.13/1.34 ;
% 1.13/1.34 ; Term-hash-array has 3,057 terms in all.
% 1.13/1.34 ; Feature-vector-row-index has 697 entries (697 at peak, 775 added, 78 deleted).
% 1.13/1.34 ; Feature-vector-row-index has 10,112 nodes (10,112 at peak, 11,686 added, 1,574 deleted).
% 1.13/1.34 ; Retrieved 1,182 possibly forward subsuming rows in 1,127 calls.
% 1.13/1.34 ; Retrieved 214 possibly backward subsumed rows in 775 calls.
% 1.13/1.34 ; Path-index has 2,803 entries (2,803 at peak, 3,125 added, 322 deleted).
% 1.13/1.34 ; Path-index has 5,991 nodes (5,991 at peak, 6,660 added, 669 deleted).
% 1.13/1.34 ; Trie-index has 2,803 entries (2,803 at peak, 3,125 added, 322 deleted).
% 1.13/1.34 ; Trie-index has 13,018 nodes (13,018 at peak, 15,519 added, 2,501 deleted).
% 1.13/1.34 ; Retrieved 13,855 generalization terms in 33,985 calls.
% 1.13/1.34 ; Retrieved 848 instance terms in 570 calls.
% 1.13/1.34 ; Retrieved 92,680 unifiable terms in 4,486 calls.
% 1.13/1.34 ;
% 1.13/1.34 ; The agenda of rows to process has 66 entries:
% 1.13/1.34 ; 1 with value 34 29 with value 43 1 with value 46
% 1.13/1.34 ; 11 with value 37 15 with value 44 4 with value 48
% 1.13/1.34 ; 4 with value 41 1 with value 45
% 1.13/1.34 ; The agenda of input rows to give has 369 entries:
% 1.13/1.34 ; 3 with value 32 5 with value 49 2 with value 66
% 1.13/1.34 ; 6 with value 33 12 with value 50 5 with value 67
% 1.13/1.34 ; 10 with value 34 5 with value 51 9 with value 68
% 1.13/1.34 ; 11 with value 35 2 with value 52 2 with value 69
% 1.13/1.34 ; 3 with value 36 3 with value 53 2 with value 70
% 1.13/1.34 ; 16 with value 37 13 with value 54 2 with value 73
% 1.13/1.34 ; 34 with value 38 8 with value 55 1 with value 74
% 1.13/1.34 ; 7 with value 39 3 with value 56 16 with value 79
% 1.13/1.34 ; 17 with value 40 4 with value 57 1 with value 81
% 1.13/1.34 ; 9 with value 41 5 with value 58 1 with value 82
% 1.13/1.34 ; 23 with value 42 2 with value 59 2 with value 84
% 1.13/1.34 ; 10 with value 43 5 with value 60 3 with value 86
% 1.13/1.34 ; 18 with value 44 6 with value 61 8 with value 88
% 1.13/1.34 ; 14 with value 45 3 with value 62 1 with value 96
% 1.13/1.34 ; 16 with value 46 4 with value 63 8 with value 97
% 1.13/1.34 ; 10 with value 47 7 with value 64 4 with value 114
% 1.13/1.34 ; 5 with value 48 3 with value 65
% 1.13/1.34 ; The agenda of rows to give has 461 entries:
% 1.13/1.34 ; 15 with value (4 7) 23 with value (4 25) 5 with value (4 45)
% 1.13/1.34 ; 3 with value (4 8) 13 with value (4 26) 4 with value (4 46)
% 1.13/1.34 ; 1 with value (4 9) 16 with value (4 27) 13 with value (4 48)
% 1.13/1.34 ; 4 with value (4 10) 12 with value (4 28) 1 with value (4 51)
% 1.13/1.34 ; 4 with value (4 11) 8 with value (4 29) 3 with value (4 52)
% 1.13/1.34 ; 1 with value (4 12) 15 with value (4 30) 6 with value (4 55)
% 1.13/1.34 ; 12 with value (4 13) 27 with value (4 31) 2 with value (4 57)
% 1.13/1.34 ; 5 with value (4 14) 16 with value (4 32) 1 with value (4 60)
% 1.13/1.34 ; 12 with value (4 15) 8 with value (4 33) 1 with value (4 61)
% 1.13/1.34 ; 24 with value (4 16) 6 with value (4 34) 1 with value (4 69)
% 1.13/1.34 ; 16 with value (4 17) 5 with value (4 35) 1 with value (4 70)
% 1.13/1.34 ; 6 with value (4 18) 15 with value (4 36) 4 with value (4 71)
% 1.13/1.34 ; 15 with value (4 19) 22 with value (4 37) 6 with value (4 74)
% 1.13/1.34 ; 16 with value (4 20) 13 with value (4 38) 6 with value (4 75)
% 1.13/1.34 ; 8 with value (4 21) 8 with value (4 39) 1 with value (4 78)
% 1.13/1.34 ; 6 with value (4 22) 3 with value (4 41) 1 with value (4 83)
% 1.13/1.34 ; 13 with value (4 23) 1 with value (4 43) 1 with value (4 84)
% 1.13/1.34 ; 16 with value (4 24) 14 with value (4 44) 2 with value (4 88)
% 1.13/1.34 Evaluation took:
% 1.13/1.34 0.885 seconds of real time
% 1.13/1.34 0.834583 seconds of user run time
% 1.13/1.34 0.049939 seconds of system run time
% 1.13/1.34 [Run times include 0.061 seconds GC run time.]
% 1.13/1.34 0 calls to %EVAL
% 1.13/1.34 0 page faults and
% 1.13/1.34 73,316,216 bytes consed.
% 1.13/1.34 :PROOF-FOUND
% 1.13/1.34 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T09:50:27
% 1.13/1.34 :PROOF-FOUND
% 1.13/1.34 *
%------------------------------------------------------------------------------