%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 14:15:18 EDT 2022
% Result : Theorem 9.93s 10.08s
% Output : Refutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of clauses : 35 ( 30 unt; 0 nHn; 27 RR)
% Number of literals : 44 ( 28 equ; 10 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(19,axiom,
( ~ number_semiring(X)
| semiring_1_of_nat(X,ti(nat,Y)) = semiring_1_of_nat(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Nat_Osemiring__1__class_Oof__nat_arg1) ).
cnf(37,axiom,
ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
cnf(62,axiom,
power_power(int,semiring_1_of_nat(int,X),Y) = semiring_1_of_nat(int,power_power(nat,X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_zpower__int) ).
cnf(64,axiom,
plus_plus(int,semiring_1_of_nat(int,X),semiring_1_of_nat(int,Y)) = semiring_1_of_nat(int,plus_plus(nat,X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zadd__int) ).
cnf(65,axiom,
semiring_1_of_nat(int,one_one(nat)) = one_one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_int__1) ).
cnf(67,axiom,
( semiring_1_of_nat(int,X) != zero_zero(int)
| X = zero_zero(nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_int__eq__0__conv) ).
cnf(69,axiom,
semiring_1_of_nat(int,zero_zero(nat)) = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_int__0) ).
cnf(73,axiom,
~ ord_less(int,pls,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_rel__simps_I2_J) ).
cnf(93,axiom,
( semiring_1_of_nat(int,X) != semiring_1_of_nat(int,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_int__int__eq) ).
cnf(130,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Pls__def) ).
cnf(133,axiom,
plus_plus(int,X,pls) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_add__Pls__right) ).
cnf(141,axiom,
( ~ power(X)
| ~ mult_zero(X)
| ~ no_zero_divisors(X)
| ~ zero_neq_one(X)
| power_power(X,Y,number_number_of(nat,Z)) != zero_zero(X)
| ti(X,Y) = zero_zero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_power__eq__0__iff__number__of) ).
cnf(148,axiom,
bit1(X) = plus_plus(int,plus_plus(int,one_one(int),X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_Bit1__def) ).
cnf(160,axiom,
number_semiring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__semiring) ).
cnf(169,axiom,
no_zero_divisors(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Ono__zero__divisors) ).
cnf(171,axiom,
zero_neq_one(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Ozero__neq__one) ).
cnf(174,axiom,
mult_zero(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Omult__zero) ).
cnf(175,axiom,
power(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Power_Opower) ).
cnf(178,negated_conjecture,
power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))) = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(179,plain,
power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))) = pls,
inference('REWRITE',[status(thm)],[178,130,theory(equality)]) ).
cnf(180,plain,
ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
inference('REWRITE',[status(thm)],[37,130,theory(equality)]) ).
cnf(182,plain,
( semiring_1_of_nat(int,X) != pls
| X = zero_zero(nat) ),
inference('REWRITE',[status(thm)],[67,130,theory(equality)]) ).
cnf(184,plain,
semiring_1_of_nat(int,zero_zero(nat)) = pls,
inference('REWRITE',[status(thm)],[69,130,theory(equality)]) ).
cnf(234,plain,
semiring_1_of_nat(int,ti(nat,X)) = semiring_1_of_nat(int,X),
inference('HYPERRESOLVE',[status(thm)],[19,160]) ).
cnf(249,plain,
bit1(pls) = one_one(int),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[133,148,theory(equality)]),133,theory(equality)]) ).
cnf(251,plain,
semiring_1_of_nat(int,one_one(nat)) = bit1(pls),
inference('REWRITE',[status(thm)],[65,249,theory(equality)]) ).
cnf(257,plain,
power_power(int,plus_plus(int,bit1(pls),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))) = pls,
inference('REWRITE',[status(thm)],[179,249,theory(equality)]) ).
cnf(258,plain,
ord_less(int,pls,plus_plus(int,bit1(pls),semiring_1_of_nat(int,n))),
inference('REWRITE',[status(thm)],[180,249,theory(equality)]) ).
cnf(305,plain,
plus_plus(int,bit1(pls),semiring_1_of_nat(int,X)) = semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X)),
inference('PARAMODULATE',[status(thm)],[64,251,theory(equality)]) ).
cnf(306,plain,
semiring_1_of_nat(int,power_power(nat,plus_plus(nat,one_one(nat),n),number_number_of(nat,bit0(bit1(pls))))) = pls,
inference('REWRITE',[status(thm)],[257,62,305,theory(equality)]) ).
cnf(307,plain,
ord_less(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),
inference('REWRITE',[status(thm)],[258,305,theory(equality)]) ).
cnf(402,plain,
power_power(nat,plus_plus(nat,one_one(nat),n),number_number_of(nat,bit0(bit1(pls)))) = zero_zero(nat),
inference('HYPERRESOLVE',[status(thm)],[182,306]) ).
cnf(773,plain,
ti(nat,X) = X,
inference('HYPERRESOLVE',[status(thm)],[93,234]) ).
cnf(22162,plain,
plus_plus(nat,one_one(nat),n) = zero_zero(nat),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[141,402,175,174,169,171]),773,theory(equality)]) ).
cnf(22163,plain,
$false,
inference('REWRITE',[status(thm)],[307,73,184,22162,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 17:19:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.48 ((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 2022-07-06T17:19:53
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-06T17:19:53
% 9.93/10.08
% 9.93/10.08
% 9.93/10.08 #||
% 9.93/10.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.93/10.08 % SZS output start Refutation
% See solution above
% 9.93/10.09 ||#
% 9.93/10.09
% 9.93/10.09 ; Summary of computation:
% 9.93/10.09 ; 63038 formulas have been input or derived (from 1420 formulas).
% 9.93/10.09 ; 22163 (35%) were retained. Of these,
% 9.93/10.09 ; 3537 (16%) were simplified or subsumed later,
% 9.93/10.09 ; 18626 (84%) are still being kept.
% 9.93/10.09 ;
% 9.93/10.09 ; Run time in seconds excluding printing time:
% 9.93/10.09 ; 0.031 0% Read assertion file (1 call)
% 9.93/10.09 ; 0.006 0% Assert (153 calls)
% 9.93/10.09 ; 2.489 26% Process new row (56,166 calls)
% 9.93/10.09 ; 1.278 13% Resolution (2,838 calls)
% 9.93/10.09 ; 0.298 3% Paramodulation (1,419 calls)
% 9.93/10.09 ; 0.000 0% Factoring (85 calls)
% 9.93/10.09 ; 0.026 0% Condensing (3,787 calls)
% 9.93/10.09 ; 0.388 4% Forward subsumption (3,787 calls)
% 9.93/10.09 ; 0.144 1% Backward subsumption (1,924 calls)
% 9.93/10.09 ; 0.073 1% Clause clause subsumption (18,386 calls)
% 9.93/10.09 ; 2.497 26% Forward simplification (56,015 calls)
% 9.93/10.09 ; 1.143 12% Backward simplification (22,161 calls)
% 9.93/10.09 ; 1.016 11% Ordering (216,976 calls)
% 9.93/10.09 ; 0.000 0% Sortal reasoning (32 calls)
% 9.93/10.09 ; 0.000 0% Purity testing (1 call)
% 9.93/10.09 ; 0.217 2% Other
% 9.93/10.09 ; 9.606 Total
% 9.93/10.09 ; 9.610 Real time
% 9.93/10.09 ;
% 9.93/10.09 ; Term-hash-array has 50,773 terms in all.
% 9.93/10.09 ; Feature-vector-row-index has 1,775 entries (1,776 at peak, 1,924 added, 149 deleted).
% 9.93/10.09 ; Feature-vector-row-index has 10,184 nodes (10,184 at peak, 11,434 added, 1,250 deleted).
% 9.93/10.09 ; Retrieved 23,593 possibly forward subsuming rows in 3,787 calls.
% 9.93/10.09 ; Retrieved 4,408 possibly backward subsumed rows in 1,924 calls.
% 9.93/10.09 ; Path-index has 41,659 entries (41,754 at peak, 51,356 added, 9,697 deleted).
% 9.93/10.09 ; Path-index has 35,435 nodes (35,539 at peak, 38,314 added, 2,879 deleted).
% 9.93/10.09 ; Trie-index has 41,659 entries (41,754 at peak, 51,356 added, 9,697 deleted).
% 9.93/10.09 ; Trie-index has 254,260 nodes (254,603 at peak, 317,552 added, 63,292 deleted).
% 9.93/10.09 ; Retrieved 216,379 generalization terms in 493,377 calls.
% 9.93/10.09 ; Retrieved 55,043 instance terms in 21,280 calls.
% 9.93/10.09 ; Retrieved 561,694 unifiable terms in 71,282 calls.
% 9.93/10.09 ;
% 9.93/10.09 ; The agenda of backward simplifiable rows to process has 48 entries:
% 9.93/10.09 ; 48 with value 0
% 9.93/10.09 ; The agenda of rows to process has 23 entries:
% 9.93/10.09 ; 1 with value 23 7 with value 27 1 with value 35
% 9.93/10.09 ; 1 with value 24 1 with value 28 2 with value 40
% 9.93/10.09 ; 4 with value 25 1 with value 33 2 with value 49
% 9.93/10.09 ; 1 with value 26 2 with value 34
% 9.93/10.09 ; The agenda of rows to give has 17376 entries:
% 9.93/10.09 ; 1 with value (4 13) 124 with value (4 33) 651 with value (4 46)
% 9.93/10.09 ; 487 with value (4 21) 159 with value (4 34) 727 with value (4 47)
% 9.93/10.09 ; 702 with value (4 22) 184 with value (4 35) 878 with value (4 48)
% 9.93/10.09 ; 1109 with value (4 23) 156 with value (4 36) 761 with value (4 49)
% 9.93/10.09 ; 1445 with value (4 24) 155 with value (4 37) 610 with value (4 50)
% 9.93/10.09 ; 874 with value (4 25) 160 with value (4 38) 406 with value (4 51)
% 9.93/10.09 ; 960 with value (4 26) 274 with value (4 39) 235 with value (4 52)
% 9.93/10.09 ; 1368 with value (4 27) 309 with value (4 40) 84 with value (4 53)
% 9.93/10.09 ; 1118 with value (4 28) 285 with value (4 41) 92 with value (4 54)
% 9.93/10.09 ; 243 with value (4 29) 400 with value (4 42) 134 with value (4 55)
% 9.93/10.09 ; 159 with value (4 30) 416 with value (4 43) 76 with value (4 56)
% 9.93/10.09 ; 247 with value (4 31) 538 with value (4 44) 4 with value (4 57)
% 9.93/10.09 ; 187 with value (4 32) 653 with value (4 45) 5 with value (4 58)
% 9.93/10.09 Evaluation took:
% 9.93/10.09 9.612 seconds of real time
% 9.93/10.09 8.761991 seconds of user run time
% 9.93/10.09 0.848292 seconds of system run time
% 9.93/10.09 [Run times include 2.275 seconds GC run time.]
% 9.93/10.09 0 calls to %EVAL
% 9.93/10.09 0 page faults and
% 9.93/10.09 677,072,416 bytes consed.
% 9.93/10.09 :PROOF-FOUND
% 9.93/10.09 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T17:20:03
% 9.93/10.09 :PROOF-FOUND
% 9.93/10.09 *
%------------------------------------------------------------------------------