%------------------------------------------------------------------------------
% 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 : n007.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 0.78s 1.00s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 19 unt; 0 nHn; 14 RR)
% Number of literals : 25 ( 21 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,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) ).
cnf(80,axiom,
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) ).
cnf(130,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_Pls__def) ).
cnf(137,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_semiring__numeral__0__eq__0) ).
cnf(138,plain,
number_number_of_int(pls) = pls,
inference('REWRITE',[status(thm)],[137,130,theory(equality)]) ).
cnf(161,axiom,
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) ).
cnf(162,plain,
bit1(X) = hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(one_one_int),X)),
inference('REWRITE',[status(thm)],[161,80,theory(equality)]) ).
cnf(187,axiom,
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) ).
cnf(188,plain,
number_number_of_int(bit1(X)) = bit1(number_number_of_int(X)),
inference('REWRITE',[status(thm)],[187,162,80,theory(equality)]) ).
cnf(191,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_semiring__numeral__1__eq__1) ).
cnf(192,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[191,138,188,theory(equality)]) ).
cnf(253,axiom,
number_number_of_int(X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_number__of__is__id) ).
cnf(310,axiom,
( 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) ).
cnf(311,plain,
( X = pls
| hAPP_nat_int(power_power_int(X),Y) != pls ),
inference('REWRITE',[status(thm)],[310,130,theory(equality)]) ).
cnf(491,axiom,
( ~ 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) ).
cnf(677,axiom,
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) ).
cnf(678,plain,
hAPP_int_int(plus_plus_int(one_one_int),X) = succ(X),
inference('REWRITE',[status(thm)],[677,253,theory(equality)]) ).
cnf(816,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) ).
cnf(817,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)],[816,130,192,678,theory(equality)]) ).
cnf(867,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),succ(hAPP_nat_int(semiri1621563631at_int,n)))),
inference('REWRITE',[status(thm)],[6,678,130,theory(equality)]) ).
cnf(1003,plain,
pls != succ(hAPP_nat_int(semiri1621563631at_int,n)),
inference('UR-RESOLVE',[status(thm)],[491,867]) ).
cnf(1134,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[311,817]),1003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 19:01:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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 2022-07-06T19:01:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-06T19:01:29
% 0.78/1.00
% 0.78/1.00
% 0.78/1.00 #||
% 0.78/1.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/1.00 % SZS output start Refutation
% See solution above
% 0.78/1.00 ||#
% 0.78/1.00
% 0.78/1.00 ; Summary of computation:
% 0.78/1.00 ; 6295 formulas have been input or derived (from 173 formulas).
% 0.78/1.00 ; 1134 (18%) were retained. Of these,
% 0.78/1.00 ; 326 (29%) were simplified or subsumed later,
% 0.78/1.00 ; 808 (71%) are still being kept.
% 0.78/1.00 ;
% 0.78/1.00 ; Run time in seconds excluding printing time:
% 0.78/1.00 ; 0.146 28% Read assertion file (1 call)
% 0.78/1.00 ; 0.013 3% Assert (708 calls)
% 0.78/1.00 ; 0.069 13% Process new row (4,553 calls)
% 0.78/1.00 ; 0.048 9% Resolution (344 calls)
% 0.78/1.00 ; 0.007 1% Paramodulation (172 calls)
% 0.78/1.00 ; 0.000 0% Factoring (4 calls)
% 0.78/1.00 ; 0.012 2% Condensing (918 calls)
% 0.78/1.00 ; 0.034 7% Forward subsumption (918 calls)
% 0.78/1.00 ; 0.025 5% Backward subsumption (624 calls)
% 0.78/1.00 ; 0.003 1% Clause clause subsumption (741 calls)
% 0.78/1.00 ; 0.080 16% Forward simplification (4,553 calls)
% 0.78/1.00 ; 0.022 4% Backward simplification (954 calls)
% 0.78/1.00 ; 0.016 3% Ordering (4,405 calls)
% 0.78/1.00 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/1.00 ; 0.001 0% Purity testing (1 call)
% 0.78/1.00 ; 0.037 7% Other
% 0.78/1.00 ; 0.513 Total
% 0.78/1.00 ; 0.514 Real time
% 0.78/1.00 ;
% 0.78/1.00 ; Term-hash-array has 2,048 terms in all.
% 0.78/1.00 ; Feature-vector-row-index has 526 entries (526 at peak, 624 added, 98 deleted).
% 0.78/1.00 ; Feature-vector-row-index has 5,376 nodes (5,376 at peak, 6,579 added, 1,203 deleted).
% 0.78/1.00 ; Retrieved 722 possibly forward subsuming rows in 918 calls.
% 0.78/1.00 ; Retrieved 191 possibly backward subsumed rows in 624 calls.
% 0.78/1.00 ; Path-index has 1,836 entries (1,836 at peak, 2,145 added, 309 deleted).
% 0.78/1.00 ; Path-index has 3,650 nodes (3,650 at peak, 3,962 added, 312 deleted).
% 0.78/1.00 ; Trie-index has 1,836 entries (1,836 at peak, 2,145 added, 309 deleted).
% 0.78/1.00 ; Trie-index has 5,022 nodes (5,022 at peak, 6,063 added, 1,041 deleted).
% 0.78/1.00 ; Retrieved 11,808 generalization terms in 19,339 calls.
% 0.78/1.01 ; Retrieved 859 instance terms in 391 calls.
% 0.78/1.01 ; Retrieved 37,106 unifiable terms in 1,915 calls.
% 0.78/1.01 ;
% 0.78/1.01 ; The agenda of rows to process has 53 entries:
% 0.78/1.01 ; 1 with value 10 1 with value 19 4 with value 23
% 0.78/1.01 ; 1 with value 13 6 with value 20 6 with value 24
% 0.78/1.01 ; 1 with value 14 11 with value 21 10 with value 25
% 0.78/1.01 ; 1 with value 15 11 with value 22
% 0.78/1.01 ; The agenda of input rows to give has 377 entries:
% 0.78/1.01 ; 2 with value 16 7 with value 24 12 with value 32
% 0.78/1.01 ; 14 with value 17 10 with value 25 7 with value 34
% 0.78/1.01 ; 19 with value 18 46 with value 26 39 with value 35
% 0.78/1.01 ; 33 with value 19 6 with value 27 3 with value 39
% 0.78/1.01 ; 42 with value 20 1 with value 28 4 with value 40
% 0.78/1.01 ; 28 with value 21 5 with value 29 3 with value 43
% 0.78/1.01 ; 36 with value 22 15 with value 30 7 with value 44
% 0.78/1.01 ; 13 with value 23 25 with value 31
% 0.78/1.01 ; The agenda of rows to give has 259 entries:
% 0.78/1.01 ; 3 with value (4 5) 8 with value (4 12) 35 with value (4 18)
% 0.78/1.01 ; 5 with value (4 7) 24 with value (4 13) 21 with value (4 19)
% 0.78/1.01 ; 7 with value (4 8) 16 with value (4 14) 18 with value (4 20)
% 0.78/1.01 ; 7 with value (4 9) 16 with value (4 15) 19 with value (4 21)
% 0.78/1.01 ; 12 with value (4 10) 24 with value (4 16) 19 with value (4 22)
% 0.78/1.01 ; 11 with value (4 11) 13 with value (4 17) 1 with value (4 25)
% 0.78/1.01 Evaluation took:
% 0.78/1.01 0.526 seconds of real time
% 0.78/1.01 0.485815 seconds of user run time
% 0.78/1.01 0.040194 seconds of system run time
% 0.78/1.01 [Run times include 0.034 seconds GC run time.]
% 0.78/1.01 0 calls to %EVAL
% 0.78/1.01 0 page faults and
% 0.78/1.01 37,616,496 bytes consed.
% 0.78/1.01 :PROOF-FOUND
% 0.78/1.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T19:01:29
% 0.78/1.01 :PROOF-FOUND
% 0.78/1.01 *
%------------------------------------------------------------------------------