TSTP Solution File: NUM924_2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM924_2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 14:15:11 EDT 2022
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 19 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 143 ( 15 equ)
% Maximal formula atoms : 1 ( 7 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 : 124 ( 124 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(3,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) ).
tff(4,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) ).
tff(48,axiom,
! [X: int] : ( number_number_of_int(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_number__of__is__id) ).
tff(125,axiom,
! [X: int,Y: int] : ( times_times_int(bit0(X),Y) = bit0(times_times_int(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_mult__Bit0) ).
tff(127,axiom,
! [X: int] : ( times_times_int(one_one_int,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_zmult__1) ).
tff(128,axiom,
! [X: int,Y: int,Z: int] : ( 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_94_zadd__zmult__distrib) ).
tff(174,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_zero__is__num__zero) ).
tff(175,plain,
zero_zero_int = pls,
inference('REWRITE',[status(thm)],[174,48,theory(equality)]) ).
tff(223,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_one__is__num__one) ).
tff(224,plain,
one_one_int = bit1(pls),
inference('REWRITE',[status(thm)],[223,48,theory(equality)]) ).
tff(242,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_Bit0__Pls) ).
tff(251,axiom,
! [X: int] : ( plus_plus_int(pls,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_add__Pls) ).
tff(463,axiom,
! [X: int] : ( times_times_int(X,zero_zero_int) = zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
tff(464,plain,
! [X: int] : ( times_times_int(X,pls) = pls ),
inference('REWRITE',[status(thm)],[463,175,theory(equality)]) ).
tff(652,axiom,
minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_498__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
tff(653,plain,
minus_minus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),min) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),one_one_int),
inference('REWRITE',[status(thm)],[652,48,224,theory(equality)]) ).
tff(912,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) ).
tff(913,plain,
~ ord_less_int(minus_minus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),min),pls),
inference('REWRITE',[status(thm)],[912,175,653,224,theory(equality)]) ).
cnf(974,plain,
$false,
inference('REWRITE',[status(thm)],[3,913,251,242,464,128,175,127,125,48,653,224,4,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924_2 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 12:09:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T12:09:52
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-06T12:09:52
% 0.61/0.82
% 0.61/0.82
% 0.61/0.82 #||
% 0.61/0.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.82 % SZS output start Refutation
% See solution above
% 0.61/0.82 ||#
% 0.61/0.82
% 0.61/0.82 ; Summary of computation:
% 0.61/0.82 ; 1265 formulas have been input or derived (from 1 formulas).
% 0.61/0.82 ; 974 (77%) were retained. Of these,
% 0.61/0.82 ; 363 (37%) were simplified or subsumed later,
% 0.61/0.82 ; 611 (63%) are still being kept.
% 0.61/0.82 ;
% 0.61/0.82 ; Run time in seconds excluding printing time:
% 0.61/0.82 ; 0.181 51% Read assertion file (1 call)
% 0.61/0.82 ; 0.022 6% Assert (699 calls)
% 0.61/0.82 ; 0.056 16% Process new row (1,042 calls)
% 0.61/0.82 ; 0.008 2% Condensing (599 calls)
% 0.61/0.82 ; 0.008 2% Forward subsumption (599 calls)
% 0.61/0.82 ; 0.012 3% Backward subsumption (486 calls)
% 0.61/0.82 ; 0.002 1% Clause clause subsumption (454 calls)
% 0.61/0.82 ; 0.025 7% Forward simplification (1,042 calls)
% 0.61/0.82 ; 0.007 2% Backward simplification (758 calls)
% 0.61/0.82 ; 0.003 1% Ordering (496 calls)
% 0.61/0.82 ; 0.000 0% Sortal reasoning (57 calls)
% 0.61/0.82 ; 0.002 1% Purity testing (1 call)
% 0.61/0.82 ; 0.029 8% Other
% 0.61/0.82 ; 0.355 Total
% 0.61/0.82 ; 0.360 Real time
% 0.61/0.82 ;
% 0.61/0.82 ; Term-hash-array has 1,306 terms in all.
% 0.61/0.82 ; Feature-vector-row-index has 396 entries (396 at peak, 486 added, 90 deleted).
% 0.61/0.82 ; Feature-vector-row-index has 1,499 nodes (1,499 at peak, 2,195 added, 696 deleted).
% 0.61/0.82 ; Retrieved 400 possibly forward subsuming rows in 599 calls.
% 0.61/0.82 ; Retrieved 120 possibly backward subsumed rows in 486 calls.
% 0.61/0.82 ; Path-index has 1,120 entries (1,120 at peak, 1,381 added, 261 deleted).
% 0.61/0.82 ; Path-index has 3,634 nodes (3,634 at peak, 4,115 added, 481 deleted).
% 0.61/0.82 ; Trie-index has 1,120 entries (1,120 at peak, 1,381 added, 261 deleted).
% 0.61/0.82 ; Trie-index has 3,709 nodes (3,709 at peak, 5,114 added, 1,405 deleted).
% 0.61/0.82 ; Retrieved 2,025 generalization terms in 5,424 calls.
% 0.61/0.82 ; Retrieved 598 instance terms in 327 calls.
% 0.61/0.82 ;
% 0.61/0.82 ; The agenda of input rows to give has 610 entries:
% 0.61/0.82 ; 20 with value 4 24 with value 16 2 with value 28
% 0.61/0.82 ; 4 with value 5 48 with value 17 1 with value 29
% 0.61/0.82 ; 12 with value 6 28 with value 18 5 with value 30
% 0.61/0.82 ; 30 with value 7 16 with value 19 1 with value 31
% 0.61/0.82 ; 13 with value 8 13 with value 20 1 with value 32
% 0.61/0.82 ; 10 with value 9 15 with value 21 3 with value 33
% 0.61/0.82 ; 65 with value 10 26 with value 22 1 with value 34
% 0.61/0.82 ; 96 with value 11 8 with value 23 1 with value 37
% 0.61/0.82 ; 26 with value 12 3 with value 24 2 with value 44
% 0.61/0.82 ; 34 with value 13 3 with value 25 1 with value 45
% 0.61/0.82 ; 39 with value 14 13 with value 26 2 with value 61
% 0.61/0.82 ; 41 with value 15 3 with value 27
% 0.61/0.82 Evaluation took:
% 0.61/0.82 0.361 seconds of real time
% 0.61/0.82 0.331932 seconds of user run time
% 0.61/0.82 0.024971 seconds of system run time
% 0.61/0.82 [Run times include 0.009 seconds GC run time.]
% 0.61/0.82 0 calls to %EVAL
% 0.61/0.82 0 page faults and
% 0.61/0.82 19,902,056 bytes consed.
% 0.61/0.82 :PROOF-FOUND
% 0.61/0.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T12:09:52
% 0.61/0.82 :PROOF-FOUND
% 0.61/0.82 *
%------------------------------------------------------------------------------