TSTP Solution File: NUM926_2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM926_2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 14:15:20 EDT 2022
% Result : Theorem 0.77s 0.96s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 12 equ)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 102 ( 102 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
tff(2,axiom,
( ( t != one_one_int )
| ( plus_plus_int(power_power_int('SKOLEMAAAU1.int',number_number_of_nat(bit0(bit1(pls)))),power_power_int('SKOLEMAAAU2.int',number_number_of_nat(bit0(bit1(pls))))) = plus_plus_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) ).
tff(3,axiom,
( ~ ord_less_int(one_one_int,t)
| ( plus_plus_int(power_power_int('SKOLEMAAAU3.int',number_number_of_nat(bit0(bit1(pls)))),power_power_int('SKOLEMAAAU4.int',number_number_of_nat(bit0(bit1(pls))))) = plus_plus_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) ).
tff(41,axiom,
! [X: int,Y: int] :
( ord_less_int(X,Y)
| ~ ord_less_eq_int(X,Y)
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_zless__le) ).
tff(145,axiom,
! [X: int] : ( number_number_of_int(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_number__of__is__id) ).
tff(215,axiom,
! [X: int] : ( times_times_int(one_one_int,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
tff(225,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_200_mult__Bit0) ).
tff(255,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_semiring__numeral__1__eq__1) ).
tff(256,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[255,145,theory(equality)]) ).
tff(923,negated_conjecture,
! [X: int,Y: int] : ( plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_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) ).
tff(924,plain,
! [X: int,Y: int] : ( plus_plus_int(power_power_int(X,number_number_of_nat(bit0(one_one_int))),power_power_int(Y,number_number_of_nat(bit0(one_one_int)))) != plus_plus_int(bit0(bit0(m)),one_one_int) ),
inference('REWRITE',[status(thm)],[923,215,225,145,256,theory(equality)]) ).
tff(971,plain,
t != one_one_int,
inference('REWRITE',[status(thm)],[2,924,215,225,256,145,theory(equality)]) ).
tff(972,plain,
~ ord_less_int(one_one_int,t),
inference('REWRITE',[status(thm)],[3,924,215,225,256,145,theory(equality)]) ).
cnf(1423,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[41,972,1,971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM926_2 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 16:33:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:33:27
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-07T16:33:27
% 0.77/0.96
% 0.77/0.96
% 0.77/0.96 #||
% 0.77/0.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96 % SZS output start Refutation
% See solution above
% 0.77/0.97 ||#
% 0.77/0.97
% 0.77/0.97 ; Summary of computation:
% 0.77/0.97 ; 3772 formulas have been input or derived (from 259 formulas).
% 0.77/0.97 ; 1423 (38%) were retained. Of these,
% 0.77/0.97 ; 379 (27%) were simplified or subsumed later,
% 0.77/0.97 ; 1044 (73%) are still being kept.
% 0.77/0.97 ;
% 0.77/0.97 ; Run time in seconds excluding printing time:
% 0.77/0.97 ; 0.183 38% Read assertion file (1 call)
% 0.77/0.97 ; 0.024 5% Assert (699 calls)
% 0.77/0.97 ; 0.066 14% Process new row (3,123 calls)
% 0.77/0.97 ; 0.048 10% Resolution (516 calls)
% 0.77/0.97 ; 0.008 2% Paramodulation (258 calls)
% 0.77/0.97 ; 0.000 0% Factoring (6 calls)
% 0.77/0.97 ; 0.009 2% Condensing (819 calls)
% 0.77/0.97 ; 0.013 3% Forward subsumption (819 calls)
% 0.77/0.97 ; 0.010 2% Backward subsumption (600 calls)
% 0.77/0.97 ; 0.005 1% Clause clause subsumption (756 calls)
% 0.77/0.97 ; 0.035 7% Forward simplification (3,123 calls)
% 0.77/0.97 ; 0.029 6% Backward simplification (1,203 calls)
% 0.77/0.97 ; 0.007 1% Ordering (1,660 calls)
% 0.77/0.97 ; 0.006 1% Sortal reasoning (4,473 calls)
% 0.77/0.97 ; 0.002 0% Purity testing (1 call)
% 0.77/0.97 ; 0.033 7% Other
% 0.77/0.97 ; 0.478 Total
% 0.77/0.97 ; 0.491 Real time
% 0.77/0.97 ;
% 0.77/0.97 ; Term-hash-array has 1,792 terms in all.
% 0.77/0.97 ; Feature-vector-row-index has 524 entries (524 at peak, 600 added, 76 deleted).
% 0.77/0.97 ; Feature-vector-row-index has 1,779 nodes (1,779 at peak, 2,110 added, 331 deleted).
% 0.77/0.97 ; Retrieved 692 possibly forward subsuming rows in 819 calls.
% 0.77/0.97 ; Retrieved 219 possibly backward subsumed rows in 600 calls.
% 0.77/0.97 ; Path-index has 1,567 entries (1,567 at peak, 1,872 added, 305 deleted).
% 0.77/0.97 ; Path-index has 4,149 nodes (4,149 at peak, 4,565 added, 416 deleted).
% 0.77/0.97 ; Trie-index has 1,567 entries (1,567 at peak, 1,872 added, 305 deleted).
% 0.77/0.97 ; Trie-index has 4,774 nodes (4,774 at peak, 6,181 added, 1,407 deleted).
% 0.77/0.97 ; Retrieved 5,961 generalization terms in 11,222 calls.
% 0.77/0.97 ; Retrieved 1,341 instance terms in 662 calls.
% 0.77/0.97 ; Retrieved 37,376 unifiable terms in 1,673 calls.
% 0.77/0.97 ;
% 0.77/0.97 ; The agenda of rows to process has 21 entries:
% 0.77/0.97 ; 6 with value 5 7 with value 9 1 with value 21
% 0.77/0.97 ; 1 with value 7 4 with value 13 2 with value 23
% 0.77/0.97 ; The agenda of input rows to give has 358 entries:
% 0.77/0.97 ; 26 with value 12 20 with value 21 4 with value 30
% 0.77/0.97 ; 33 with value 13 26 with value 22 2 with value 31
% 0.77/0.97 ; 37 with value 14 7 with value 23 1 with value 32
% 0.77/0.97 ; 44 with value 15 3 with value 24 2 with value 33
% 0.77/0.97 ; 24 with value 16 5 with value 25 1 with value 34
% 0.77/0.97 ; 55 with value 17 12 with value 26 1 with value 37
% 0.77/0.97 ; 24 with value 18 3 with value 27 3 with value 44
% 0.77/0.97 ; 10 with value 19 1 with value 28 1 with value 61
% 0.77/0.97 ; 11 with value 20 1 with value 29 1 with value 63
% 0.77/0.97 ; The agenda of rows to give has 429 entries:
% 0.77/0.97 ; 1 with value (4 4) 34 with value (4 9) 19 with value (4 13)
% 0.77/0.97 ; 29 with value (4 5) 20 with value (4 10) 31 with value (4 14)
% 0.77/0.97 ; 7 with value (4 6) 59 with value (4 11) 55 with value (4 15)
% 0.77/0.97 ; 52 with value (4 7) 76 with value (4 12) 1 with value (4 17)
% 0.77/0.97 ; 45 with value (4 8)
% 0.77/0.97 Evaluation took:
% 0.77/0.97 0.492 seconds of real time
% 0.77/0.97 0.453988 seconds of user run time
% 0.77/0.97 0.03734 seconds of system run time
% 0.77/0.97 [Run times include 0.02 seconds GC run time.]
% 0.77/0.97 0 calls to %EVAL
% 0.77/0.97 0 page faults and
% 0.77/0.97 26,397,320 bytes consed.
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:33:28
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 *
%------------------------------------------------------------------------------