TSTP Solution File: NUM926_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM926_1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:15:19 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 108 ( 8 equ)
% Maximal formula atoms : 3 ( 10 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 : 94 ( 94 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 : 7 ( 0 sgn 7 !; 0 ?; 7 :)
% 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(31,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_28_zless__le) ).
tff(111,axiom,
! [X: int] : ( number_number_of_int(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_number__of__is__id) ).
tff(124,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(125,plain,
! [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(bit0(bit0(bit1(pls))),m),one_one_int) ),
inference('REWRITE',[status(thm)],[124,111,theory(equality)]) ).
tff(126,plain,
t != one_one_int,
inference('REWRITE',[status(thm)],[2,125,111,theory(equality)]) ).
tff(127,plain,
~ ord_less_int(one_one_int,t),
inference('REWRITE',[status(thm)],[3,125,111,theory(equality)]) ).
cnf(198,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[31,127,1,126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM926_1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 : Tue Jul 5 14:21:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T14:21:18
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-05T14:21:18
% 0.20/0.52 WARNING:
% 0.20/0.52 |zprime| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 #||
% 0.20/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.58 % SZS output start Refutation
% See solution above
% 0.20/0.59 ||#
% 0.20/0.59
% 0.20/0.59 ; Summary of computation:
% 0.20/0.59 ; 422 formulas have been input or derived (from 59 formulas).
% 0.20/0.59 ; 198 (47%) were retained. Of these,
% 0.20/0.59 ; 33 (17%) were simplified or subsumed later,
% 0.20/0.59 ; 165 (83%) are still being kept.
% 0.20/0.59 ;
% 0.20/0.59 ; Run time in seconds excluding printing time:
% 0.20/0.59 ; 0.034 30% Read assertion file (1 call)
% 0.20/0.59 ; 0.004 4% Assert (124 calls)
% 0.20/0.59 ; 0.019 17% Process new row (355 calls)
% 0.20/0.59 ; 0.007 6% Resolution (116 calls)
% 0.20/0.59 ; 0.001 1% Paramodulation (58 calls)
% 0.20/0.59 ; 0.000 0% Factoring (2 calls)
% 0.20/0.59 ; 0.000 0% Condensing (133 calls)
% 0.20/0.59 ; 0.002 2% Forward subsumption (133 calls)
% 0.20/0.59 ; 0.003 3% Backward subsumption (93 calls)
% 0.20/0.59 ; 0.001 1% Clause clause subsumption (120 calls)
% 0.20/0.59 ; 0.009 8% Forward simplification (353 calls)
% 0.20/0.59 ; 0.006 5% Backward simplification (194 calls)
% 0.20/0.59 ; 0.001 1% Ordering (411 calls)
% 0.20/0.59 ; 0.000 0% Sortal reasoning (102 calls)
% 0.20/0.59 ; 0.001 1% Purity testing (1 call)
% 0.20/0.59 ; 0.025 22% Other
% 0.20/0.59 ; 0.113 Total
% 0.20/0.59 ; 0.115 Real time
% 0.20/0.59 ;
% 0.20/0.59 ; Term-hash-array has 357 terms in all.
% 0.20/0.59 ; Feature-vector-row-index has 83 entries (83 at peak, 93 added, 10 deleted).
% 0.20/0.59 ; Feature-vector-row-index has 182 nodes (191 at peak, 264 added, 82 deleted).
% 0.20/0.59 ; Retrieved 122 possibly forward subsuming rows in 133 calls.
% 0.20/0.59 ; Retrieved 23 possibly backward subsumed rows in 93 calls.
% 0.20/0.59 ; Path-index has 296 entries (296 at peak, 393 added, 97 deleted).
% 0.20/0.59 ; Path-index has 1,114 nodes (1,114 at peak, 1,304 added, 190 deleted).
% 0.20/0.59 ; Trie-index has 296 entries (296 at peak, 393 added, 97 deleted).
% 0.20/0.59 ; Trie-index has 1,071 nodes (1,071 at peak, 1,748 added, 677 deleted).
% 0.20/0.59 ; Retrieved 499 generalization terms in 886 calls.
% 0.20/0.59 ; Retrieved 327 instance terms in 136 calls.
% 0.20/0.59 ; Retrieved 2,275 unifiable terms in 294 calls.
% 0.20/0.59 ;
% 0.20/0.59 ; The agenda of rows to process has 7 entries:
% 0.20/0.59 ; 3 with value 5 2 with value 9 2 with value 13
% 0.20/0.59 ; The agenda of input rows to give has 50 entries:
% 0.20/0.59 ; 5 with value 12 1 with value 17 1 with value 28
% 0.20/0.59 ; 4 with value 13 4 with value 18 1 with value 35
% 0.20/0.59 ; 16 with value 14 3 with value 19 1 with value 37
% 0.20/0.59 ; 6 with value 15 2 with value 21 1 with value 57
% 0.20/0.59 ; 3 with value 16 2 with value 26
% 0.20/0.59 ; The agenda of rows to give has 57 entries:
% 0.20/0.59 ; 3 with value (4 5) 1 with value (4 9) 16 with value (4 12)
% 0.20/0.59 ; 2 with value (4 7) 4 with value (4 10) 6 with value (4 13)
% 0.20/0.59 ; 14 with value (4 8) 9 with value (4 11) 2 with value (4 15)
% 0.20/0.59 Evaluation took:
% 0.20/0.59 0.116 seconds of real time
% 0.20/0.59 0.096588 seconds of user run time
% 0.20/0.59 0.019027 seconds of system run time
% 0.20/0.59 0 calls to %EVAL
% 0.20/0.59 0 page faults and
% 0.20/0.59 5,883,352 bytes consed.
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T14:21:19
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 *
%------------------------------------------------------------------------------