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 : n012.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 0.91s 1.15s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 21 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 187 ( 16 equ)
% Maximal formula atoms : 1 ( 8 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 166 ( 166 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(3,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) ).
tff(4,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) ).
tff(49,axiom,
! [X: int] : ( number_number_of_int(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_number__of__is__id) ).
tff(50,axiom,
! [X: int,Y: int] : ( 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) ).
tff(126,axiom,
! [X: int,Y: int] : ( 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) ).
tff(128,axiom,
! [X: int] : ( hAPP_int_int(times_times_int(one_one_int),X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_zmult__1) ).
tff(177,axiom,
! [X: int,Y: int] : ( 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) ).
tff(178,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_zero__is__num__zero) ).
tff(179,plain,
zero_zero_int = pls,
inference('REWRITE',[status(thm)],[178,49,theory(equality)]) ).
tff(227,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_one__is__num__one) ).
tff(228,plain,
one_one_int = bit1(pls),
inference('REWRITE',[status(thm)],[227,49,theory(equality)]) ).
tff(281,axiom,
! [X: int] : ( hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_power2__eq__square) ).
tff(282,plain,
! [X: int] : ( hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(one_one_int))) = hAPP_int_int(times_times_int(X),X) ),
inference('REWRITE',[status(thm)],[281,228,theory(equality)]) ).
tff(468,axiom,
! [X: int] : ( 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) ).
tff(469,plain,
! [X: int] : ( hAPP_int_int(times_times_int(X),pls) = pls ),
inference('REWRITE',[status(thm)],[468,179,theory(equality)]) ).
tff(1656,axiom,
! [X: fun_int_fun_int_bool,Y: int,Z: int] : ( 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) ).
tff(1659,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) ).
tff(1660,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)],[1659,1656,179,177,282,228,theory(equality)]) ).
tff(1848,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(m)))))),
inference('REWRITE',[status(thm)],[3,1656,469,179,50,177,128,126,228,49,theory(equality)]) ).
tff(1849,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(m)))),
inference('REWRITE',[status(thm)],[4,50,128,126,177,282,228,49,theory(equality)]) ).
cnf(1851,plain,
$false,
inference('REWRITE',[status(thm)],[1660,1848,1849,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924_3 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 : Thu Jul 7 05:08:00 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 2022-07-07T05:08:00
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-07T05:08:00
% 0.91/1.15
% 0.91/1.15
% 0.91/1.15 #||
% 0.91/1.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.15 % SZS output start Refutation
% See solution above
% 0.91/1.15 ||#
% 0.91/1.15
% 0.91/1.15 ; Summary of computation:
% 0.91/1.15 ; 2375 formulas have been input or derived (from 1 formulas).
% 0.91/1.15 ; 1851 (78%) were retained. Of these,
% 0.91/1.15 ; 738 (40%) were simplified or subsumed later,
% 0.91/1.15 ; 1113 (60%) are still being kept.
% 0.91/1.15 ;
% 0.91/1.15 ; Run time in seconds excluding printing time:
% 0.91/1.15 ; 0.282 41% Read assertion file (1 call)
% 0.91/1.15 ; 0.031 5% Assert (1,205 calls)
% 0.91/1.15 ; 0.115 17% Process new row (1,927 calls)
% 0.91/1.15 ; 0.018 3% Condensing (1,361 calls)
% 0.91/1.15 ; 0.075 11% Forward subsumption (1,361 calls)
% 0.91/1.15 ; 0.028 4% Backward subsumption (1,066 calls)
% 0.91/1.15 ; 0.005 1% Clause clause subsumption (1,348 calls)
% 0.91/1.15 ; 0.060 9% Forward simplification (1,927 calls)
% 0.91/1.15 ; 0.019 3% Backward simplification (1,418 calls)
% 0.91/1.15 ; 0.019 3% Ordering (3,227 calls)
% 0.91/1.15 ; 0.000 0% Sortal reasoning (63 calls)
% 0.91/1.15 ; 0.002 0% Purity testing (1 call)
% 0.91/1.15 ; 0.027 4% Other
% 0.91/1.15 ; 0.681 Total
% 0.91/1.15 ; 0.683 Real time
% 0.91/1.15 ;
% 0.91/1.16 ; Term-hash-array has 3,282 terms in all.
% 0.91/1.16 ; Feature-vector-row-index has 842 entries (842 at peak, 1,066 added, 224 deleted).
% 0.91/1.16 ; Feature-vector-row-index has 9,369 nodes (9,369 at peak, 12,365 added, 2,996 deleted).
% 0.91/1.16 ; Retrieved 1,158 possibly forward subsuming rows in 1,361 calls.
% 0.91/1.16 ; Retrieved 384 possibly backward subsumed rows in 1,066 calls.
% 0.91/1.16 ; Path-index has 2,865 entries (2,870 at peak, 3,466 added, 601 deleted).
% 0.91/1.16 ; Path-index has 5,642 nodes (5,652 at peak, 6,197 added, 555 deleted).
% 0.91/1.16 ; Trie-index has 2,865 entries (2,870 at peak, 3,466 added, 601 deleted).
% 0.91/1.16 ; Trie-index has 8,097 nodes (8,134 at peak, 10,409 added, 2,312 deleted).
% 0.91/1.16 ; Retrieved 6,551 generalization terms in 9,547 calls.
% 0.91/1.16 ; Retrieved 1,251 instance terms in 474 calls.
% 0.91/1.16 ;
% 0.91/1.16 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.91/1.16 ; 8 with value 0
% 0.91/1.16 ; The agenda of input rows to give has 1112 entries:
% 0.91/1.16 ; 5 with value 4 59 with value 26 8 with value 47
% 0.91/1.16 ; 11 with value 6 32 with value 27 5 with value 48
% 0.91/1.16 ; 1 with value 7 3 with value 28 7 with value 49
% 0.91/1.16 ; 1 with value 8 14 with value 29 2 with value 51
% 0.91/1.16 ; 73 with value 9 29 with value 30 5 with value 52
% 0.91/1.16 ; 5 with value 10 56 with value 31 13 with value 53
% 0.91/1.16 ; 13 with value 11 18 with value 32 2 with value 54
% 0.91/1.16 ; 14 with value 12 1 with value 33 2 with value 55
% 0.91/1.16 ; 56 with value 13 19 with value 34 1 with value 56
% 0.91/1.16 ; 11 with value 14 96 with value 35 5 with value 57
% 0.91/1.16 ; 19 with value 15 9 with value 36 8 with value 58
% 0.91/1.16 ; 38 with value 16 17 with value 37 1 with value 59
% 0.91/1.16 ; 30 with value 17 8 with value 38 2 with value 61
% 0.91/1.16 ; 32 with value 18 13 with value 39 1 with value 63
% 0.91/1.16 ; 54 with value 19 16 with value 40 1 with value 64
% 0.91/1.16 ; 50 with value 20 10 with value 41 3 with value 67
% 0.91/1.16 ; 47 with value 21 1 with value 42 1 with value 68
% 0.91/1.16 ; 66 with value 22 5 with value 43 1 with value 69
% 0.91/1.16 ; 42 with value 23 13 with value 44 1 with value 70
% 0.91/1.16 ; 14 with value 24 6 with value 45 2 with value 74
% 0.91/1.16 ; 27 with value 25 5 with value 46 2 with value 83
% 0.91/1.16 Evaluation took:
% 0.91/1.16 0.684 seconds of real time
% 0.91/1.16 0.65217 seconds of user run time
% 0.91/1.16 0.031115 seconds of system run time
% 0.91/1.16 [Run times include 0.032 seconds GC run time.]
% 0.91/1.16 0 calls to %EVAL
% 0.91/1.16 0 page faults and
% 0.91/1.16 59,205,128 bytes consed.
% 0.91/1.16 :PROOF-FOUND
% 0.91/1.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T05:08:00
% 0.91/1.16 :PROOF-FOUND
% 0.91/1.16 *
%------------------------------------------------------------------------------