TSTP Solution File: NUM925_2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM925_2 : 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 14:15:16 EDT 2022
% Result : Theorem 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 22 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 21 equ)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 112 ( 112 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
tff(75,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_67_zadd__commute) ).
tff(125,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_Pls__def) ).
tff(132,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_semiring__numeral__0__eq__0) ).
tff(133,plain,
number_number_of_int(pls) = pls,
inference('REWRITE',[status(thm)],[132,125,theory(equality)]) ).
tff(156,axiom,
! [X: int] : ( bit1(X) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_Bit1__def) ).
tff(157,plain,
! [X: int] : ( bit1(X) = hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(one_one_int),X)) ),
inference('REWRITE',[status(thm)],[156,75,theory(equality)]) ).
tff(182,axiom,
! [X: int] : ( number_number_of_int(bit1(X)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X))),number_number_of_int(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_number__of__Bit1) ).
tff(183,plain,
! [X: int] : ( number_number_of_int(bit1(X)) = bit1(number_number_of_int(X)) ),
inference('REWRITE',[status(thm)],[182,157,75,theory(equality)]) ).
tff(186,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_semiring__numeral__1__eq__1) ).
tff(187,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[186,133,183,theory(equality)]) ).
tff(248,axiom,
! [X: int] : ( number_number_of_int(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_number__of__is__id) ).
tff(305,axiom,
! [X: int,Y: nat] :
( ( X = zero_zero_int )
| ( hAPP_nat_int(power_power_int(X),Y) != zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_field__power__not__zero) ).
tff(306,plain,
! [X: int,Y: nat] :
( ( X = pls )
| ( hAPP_nat_int(power_power_int(X),Y) != pls ) ),
inference('REWRITE',[status(thm)],[305,125,theory(equality)]) ).
tff(486,axiom,
! [X: int,Y: int] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))
| ( X != Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_447_zless__le) ).
tff(672,axiom,
! [X: int] : ( number_number_of_int(succ(X)) = hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_583_number__of__succ) ).
tff(673,plain,
! [X: int] : ( hAPP_int_int(plus_plus_int(one_one_int),X) = succ(X) ),
inference('REWRITE',[status(thm)],[672,248,theory(equality)]) ).
tff(811,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(812,plain,
hAPP_nat_int(power_power_int(succ(hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(one_one_int))) = pls,
inference('REWRITE',[status(thm)],[811,125,187,673,theory(equality)]) ).
tff(862,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),succ(hAPP_nat_int(semiri1621563631at_int,n)))),
inference('REWRITE',[status(thm)],[1,673,125,theory(equality)]) ).
tff(947,plain,
pls != succ(hAPP_nat_int(semiri1621563631at_int,n)),
inference('UR-RESOLVE',[status(thm)],[486,862]) ).
cnf(1012,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[306,812]),947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM925_2 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 : Thu Jul 7 06:58:11 EDT 2022
% 0.12/0.34 % 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 2022-07-07T06:58:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-07T06:58:11
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 #||
% 0.77/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation
% See solution above
% 0.77/0.93 ||#
% 0.77/0.93
% 0.77/0.93 ; Summary of computation:
% 0.77/0.93 ; 3538 formulas have been input or derived (from 168 formulas).
% 0.77/0.93 ; 1012 (29%) were retained. Of these,
% 0.77/0.93 ; 326 (32%) were simplified or subsumed later,
% 0.77/0.93 ; 686 (68%) are still being kept.
% 0.77/0.93 ;
% 0.77/0.93 ; Run time in seconds excluding printing time:
% 0.77/0.93 ; 0.158 34% Read assertion file (1 call)
% 0.77/0.93 ; 0.017 4% Assert (703 calls)
% 0.77/0.93 ; 0.070 15% Process new row (2,678 calls)
% 0.77/0.93 ; 0.047 10% Resolution (334 calls)
% 0.77/0.93 ; 0.007 2% Paramodulation (167 calls)
% 0.77/0.93 ; 0.000 0% Factoring (5 calls)
% 0.77/0.93 ; 0.009 2% Condensing (877 calls)
% 0.77/0.93 ; 0.035 8% Forward subsumption (877 calls)
% 0.77/0.93 ; 0.012 3% Backward subsumption (583 calls)
% 0.77/0.93 ; 0.005 1% Clause clause subsumption (737 calls)
% 0.77/0.93 ; 0.045 10% Forward simplification (2,678 calls)
% 0.77/0.93 ; 0.018 4% Backward simplification (832 calls)
% 0.77/0.93 ; 0.007 2% Ordering (2,690 calls)
% 0.77/0.93 ; 0.004 1% Sortal reasoning (5,989 calls)
% 0.77/0.93 ; 0.001 0% Purity testing (1 call)
% 0.77/0.93 ; 0.027 6% Other
% 0.77/0.93 ; 0.462 Total
% 0.77/0.93 ; 0.464 Real time
% 0.77/0.93 ;
% 0.77/0.93 ; Term-hash-array has 1,683 terms in all.
% 0.77/0.93 ; Feature-vector-row-index has 485 entries (485 at peak, 583 added, 98 deleted).
% 0.77/0.93 ; Feature-vector-row-index has 5,147 nodes (5,147 at peak, 6,392 added, 1,245 deleted).
% 0.77/0.93 ; Retrieved 707 possibly forward subsuming rows in 877 calls.
% 0.77/0.93 ; Retrieved 181 possibly backward subsumed rows in 583 calls.
% 0.77/0.93 ; Path-index has 1,471 entries (1,471 at peak, 1,780 added, 309 deleted).
% 0.77/0.93 ; Path-index has 2,444 nodes (2,444 at peak, 2,756 added, 312 deleted).
% 0.77/0.93 ; Trie-index has 1,471 entries (1,471 at peak, 1,780 added, 309 deleted).
% 0.77/0.93 ; Trie-index has 3,561 nodes (3,561 at peak, 4,602 added, 1,041 deleted).
% 0.77/0.93 ; Retrieved 5,962 generalization terms in 10,547 calls.
% 0.77/0.93 ; Retrieved 730 instance terms in 286 calls.
% 0.77/0.93 ; Retrieved 33,896 unifiable terms in 1,442 calls.
% 0.77/0.93 ;
% 0.77/0.93 ; The agenda of rows to process has 24 entries:
% 0.77/0.93 ; 1 with value 10 1 with value 19 4 with value 23
% 0.77/0.93 ; 1 with value 13 6 with value 20 1 with value 24
% 0.77/0.93 ; 1 with value 14 5 with value 21 1 with value 25
% 0.77/0.93 ; 1 with value 15 2 with value 22
% 0.77/0.93 ; The agenda of input rows to give has 377 entries:
% 0.77/0.93 ; 2 with value 16 7 with value 24 12 with value 32
% 0.77/0.93 ; 14 with value 17 10 with value 25 7 with value 34
% 0.77/0.93 ; 19 with value 18 46 with value 26 39 with value 35
% 0.77/0.93 ; 33 with value 19 6 with value 27 3 with value 39
% 0.77/0.93 ; 42 with value 20 1 with value 28 4 with value 40
% 0.77/0.93 ; 28 with value 21 5 with value 29 3 with value 43
% 0.77/0.93 ; 36 with value 22 15 with value 30 7 with value 44
% 0.77/0.93 ; 13 with value 23 25 with value 31
% 0.77/0.93 ; The agenda of rows to give has 142 entries:
% 0.77/0.93 ; 3 with value (4 5) 7 with value (4 12) 15 with value (4 18)
% 0.77/0.93 ; 5 with value (4 7) 8 with value (4 13) 11 with value (4 19)
% 0.77/0.93 ; 1 with value (4 8) 14 with value (4 14) 8 with value (4 20)
% 0.77/0.93 ; 7 with value (4 9) 8 with value (4 15) 3 with value (4 21)
% 0.77/0.93 ; 10 with value (4 10) 14 with value (4 16) 9 with value (4 22)
% 0.77/0.93 ; 11 with value (4 11) 7 with value (4 17) 1 with value (4 25)
% 0.77/0.93 Evaluation took:
% 0.77/0.93 0.465 seconds of real time
% 0.77/0.93 0.430792 seconds of user run time
% 0.77/0.93 0.033956 seconds of system run time
% 0.77/0.93 [Run times include 0.017 seconds GC run time.]
% 0.77/0.93 0 calls to %EVAL
% 0.77/0.93 0 page faults and
% 0.77/0.93 32,931,744 bytes consed.
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T06:58:12
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 *
%------------------------------------------------------------------------------