%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:15:11 EDT 2022
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 15 RR)
% Number of literals : 28 ( 24 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(20,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
cnf(21,axiom,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
cnf(133,axiom,
times_times_int(pls,X) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_mult__Pls) ).
cnf(135,axiom,
times_times_int(bit0(X),Y) = bit0(times_times_int(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_mult__Bit0) ).
cnf(211,axiom,
times_times_int(bit1(X),Y) = plus_plus_int(bit0(times_times_int(X,Y)),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_mult__Bit1) ).
cnf(224,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_Bit0__Pls) ).
cnf(225,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_Pls__def) ).
cnf(236,axiom,
bit0(X) = plus_plus_int(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_Bit0__def) ).
cnf(244,axiom,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X)) = number_number_of_int(bit0(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_double__number__of__Bit0) ).
cnf(245,plain,
bit0(times_times_int(one_one_int,number_number_of_int(X))) = number_number_of_int(bit0(X)),
inference('REWRITE',[status(thm)],[244,135,236,theory(equality)]) ).
cnf(272,axiom,
number_number_of_int(pls) = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_semiring__numeral__0__eq__0) ).
cnf(273,plain,
number_number_of_int(pls) = pls,
inference('REWRITE',[status(thm)],[272,225,theory(equality)]) ).
cnf(297,axiom,
bit1(X) = plus_plus_int(one_one_int,plus_plus_int(X,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_Bit1__def) ).
cnf(298,plain,
bit1(X) = plus_plus_int(one_one_int,bit0(X)),
inference('REWRITE',[status(thm)],[297,236,theory(equality)]) ).
cnf(317,axiom,
number_number_of_int(bit1(X)) = plus_plus_int(one_one_int,plus_plus_int(number_number_of_int(X),number_number_of_int(X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_number__of__Bit1) ).
cnf(318,plain,
number_number_of_int(bit1(X)) = bit1(number_number_of_int(X)),
inference('REWRITE',[status(thm)],[317,298,236,theory(equality)]) ).
cnf(320,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_semiring__numeral__1__eq__1) ).
cnf(321,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[320,273,318,theory(equality)]) ).
cnf(324,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_numeral__1__eq__1) ).
cnf(325,plain,
number_number_of_int(one_one_int) = one_one_int,
inference('REWRITE',[status(thm)],[324,321,theory(equality)]) ).
cnf(510,axiom,
plus_plus_int(X,X) = times_times_int(plus_plus_int(one_one_int,one_one_int),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_410_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
cnf(511,plain,
bit0(X) = bit0(times_times_int(X,one_one_int)),
inference('REWRITE',[status(thm)],[510,135,236,theory(equality)]) ).
cnf(665,axiom,
minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_498__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).
cnf(666,plain,
minus_minus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),number_number_of_int(min)) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),one_one_int),
inference('REWRITE',[status(thm)],[665,321,theory(equality)]) ).
cnf(924,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(925,plain,
~ ord_less_int(minus_minus_int(power_power_int(s,number_number_of_nat(bit0(one_one_int))),number_number_of_int(min)),pls),
inference('REWRITE',[status(thm)],[924,225,666,321,theory(equality)]) ).
cnf(928,plain,
bit0(number_number_of_int(X)) = number_number_of_int(bit0(X)),
inference('REWRITE',[status(thm)],[245,511,theory(equality)]) ).
cnf(1017,plain,
$false,
inference('REWRITE',[status(thm)],[20,925,236,224,133,211,225,298,511,135,325,928,666,321,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n004.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 21:21:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-07T21:21:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-07T21:21:08
% 0.40/0.61
% 0.40/0.61 ; Recognized commutativity assertion (= (|times_times_int| ?X ?Y) (|times_times_int| ?Y ?X)).
% 0.40/0.61 ; Recognized associativity assertion (= (|times_times_int| (|times_times_int| ?X ?Y) ?Z) (|times_times_int| ?X (|times_times_int| ?Y ?Z))).
% 0.40/0.61 ; Recognized associativity assertion (= (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z) (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z))).
% 0.40/0.61 ; Recognized commutativity assertion (= (|plus_plus_int| ?X ?Y) (|plus_plus_int| ?Y ?X)).
% 0.40/0.61 ; Recognized associativity assertion (= (|times_times_real| (|times_times_real| ?X ?Y) ?Z) (|times_times_real| ?X (|times_times_real| ?Y ?Z))).
% 0.40/0.61 ; Recognized associativity assertion (= (|times_times_nat| (|times_times_nat| ?X ?Y) ?Z) (|times_times_nat| ?X (|times_times_nat| ?Y ?Z))).
% 0.40/0.61 ; Recognized associativity assertion (= (|times_times_int| (|times_times_int| ?X ?Y) ?Z) (|times_times_int| ?X (|times_times_int| ?Y ?Z))).
% 0.40/0.62 ; Recognized associativity assertion (= (|times_times_real| ?X (|times_times_real| ?Y ?Z)) (|times_times_real| (|times_times_real| ?X ?Y) ?Z)).
% 0.40/0.62 ; Recognized associativity assertion (= (|times_times_nat| ?X (|times_times_nat| ?Y ?Z)) (|times_times_nat| (|times_times_nat| ?X ?Y) ?Z)).
% 0.40/0.62 ; Recognized associativity assertion (= (|times_times_int| ?X (|times_times_int| ?Y ?Z)) (|times_times_int| (|times_times_int| ?X ?Y) ?Z)).
% 0.40/0.62 ; Recognized commutativity assertion (= (|times_times_real| ?X ?Y) (|times_times_real| ?Y ?X)).
% 0.40/0.62 ; Recognized commutativity assertion (= (|times_times_nat| ?X ?Y) (|times_times_nat| ?Y ?X)).
% 0.40/0.62 ; Recognized commutativity assertion (= (|times_times_int| ?X ?Y) (|times_times_int| ?Y ?X)).
% 0.40/0.62 ; Recognized commutativity assertion (= (|plus_plus_real| ?X ?Y) (|plus_plus_real| ?Y ?X)).
% 0.40/0.62 ; Recognized commutativity assertion (= (|plus_plus_nat| ?X ?Y) (|plus_plus_nat| ?Y ?X)).
% 0.40/0.62 ; Recognized commutativity assertion (= (|plus_plus_int| ?X ?Y) (|plus_plus_int| ?Y ?X)).
% 0.40/0.62 ; Recognized associativity assertion (= (|plus_plus_real| ?X (|plus_plus_real| ?Y ?Z)) (|plus_plus_real| (|plus_plus_real| ?X ?Y) ?Z)).
% 0.40/0.62 ; Recognized associativity assertion (= (|plus_plus_nat| ?X (|plus_plus_nat| ?Y ?Z)) (|plus_plus_nat| (|plus_plus_nat| ?X ?Y) ?Z)).
% 0.40/0.62 ; Recognized associativity assertion (= (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z)) (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z)).
% 0.40/0.62 ; Recognized associativity assertion (= (|plus_plus_real| (|plus_plus_real| ?X ?Y) ?Z) (|plus_plus_real| ?X (|plus_plus_real| ?Y ?Z))).
% 0.40/0.62 ; Recognized associativity assertion (= (|plus_plus_nat| (|plus_plus_nat| ?X ?Y) ?Z) (|plus_plus_nat| ?X (|plus_plus_nat| ?Y ?Z))).
% 0.40/0.62 ; Recognized associativity assertion (= (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z) (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z))).
% 0.40/0.62 ; Recognized right identity assertion (= (|power_power_real| ?X |one_one_nat|) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|power_power_nat| ?X |one_one_nat|) ?X).
% 0.40/0.62 ; Recognized left identity assertion (= (|plus_plus_real| |zero_zero_real| ?X) ?X).
% 0.40/0.62 ; Recognized left identity assertion (= (|plus_plus_nat| |zero_zero_nat| ?X) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|plus_plus_real| ?X |zero_zero_real|) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|plus_plus_nat| ?X |zero_zero_nat|) ?X).
% 0.40/0.62 ; Recognized left identity assertion (= (|times_times_real| |one_one_real| ?X) ?X).
% 0.40/0.62 ; Recognized left identity assertion (= (|times_times_nat| |one_one_nat| ?X) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|times_times_real| ?X |one_one_real|) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|times_times_nat| ?X |one_one_nat|) ?X).
% 0.40/0.62 ; Recognized commutativity assertion (OR (NOT (|zcong| ?X ?Y ?Z)) (|zcong| ?Y ?X ?Z)).
% 0.40/0.62 ; Recognized commutativity assertion (OR (|zcong| ?X ?Y ?Z) (NOT (|zcong| ?Y ?X ?Z))).
% 0.40/0.62 ; Recognized possible right identity assertion (|zcong| ?X |zero_zero_int| ?X).
% 0.40/0.62 ; Recognized associativity assertion (= (|times_times_real| (|times_times_real| ?X ?Y) ?Z) (|times_times_real| ?X (|times_times_real| ?Y ?Z))).
% 0.40/0.62 ; Recognized commutativity assertion (= (|times_times_real| ?X ?Y) (|times_times_real| ?Y ?X)).
% 0.40/0.62 ; Recognized left identity assertion (= (|times_times_real| |one_one_real| ?X) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|power_power_real| ?X |one_one_nat|) ?X).
% 0.40/0.62 ; Recognized right identity assertion (= (|power_power_nat| ?X |one_one_nat|) ?X).
% 0.40/0.62 ; Declaring plus_plus_int to be commutative.
% 0.40/0.62 ; Declaring plus_plus_int to be associative-commutative.
% 0.40/0.62 ; Declaring times_times_int to be commutative.
% 0.40/0.62 ; Declaring times_times_int to be associative-commutative.
% 0.40/0.62 ; Declaring plus_plus_real to be commutative.
% 0.40/0.62 ; Declaring plus_plus_real to be associative-commutative.
% 0.40/0.62 ; Declaring plus_plus_nat to be commutative.
% 0.40/0.62 ; Declaring plus_plus_nat to be associative-commutative.
% 0.40/0.62 ; Declaring times_times_real to be commutative.
% 0.40/0.62 ; Declaring times_times_real to be associative-commutative.
% 0.40/0.62 ; Declaring times_times_nat to be commutative.
% 0.40/0.62 ; Declaring times_times_nat to be associative-commutative.
% 0.62/0.79 ; Declaring zcong to be commutative.
% 0.62/0.79
% 0.62/0.79 #||
% 0.62/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.79 % SZS output start Refutation
% See solution above
% 0.62/0.79 ||#
% 0.62/0.79
% 0.62/0.79 ; Summary of computation:
% 0.62/0.79 ; 1361 formulas have been input or derived (from 1 formulas).
% 0.62/0.79 ; 1017 (75%) were retained. Of these,
% 0.62/0.79 ; 376 (37%) were simplified or subsumed later,
% 0.62/0.79 ; 641 (63%) are still being kept.
% 0.62/0.79 ;
% 0.62/0.79 ; Run time in seconds excluding printing time:
% 0.62/0.79 ; 0.126 40% Read assertion file (1 call)
% 0.62/0.79 ; 0.016 5% Assert (716 calls)
% 0.62/0.79 ; 0.054 17% Process new row (1,166 calls)
% 0.62/0.79 ; 0.001 0% Embedding (86 calls)
% 0.62/0.79 ; 0.017 5% Condensing (646 calls)
% 0.62/0.79 ; 0.014 4% Forward subsumption (646 calls)
% 0.62/0.79 ; 0.004 1% Backward subsumption (492 calls)
% 0.62/0.79 ; 0.009 3% Clause clause subsumption (347 calls)
% 0.62/0.79 ; 0.041 13% Forward simplification (1,087 calls)
% 0.62/0.79 ; 0.008 3% Backward simplification (746 calls)
% 0.62/0.79 ; 0.001 0% Ordering (261 calls)
% 0.62/0.79 ; 0.001 0% Ordering ac (79 calls)
% 0.62/0.79 ; 0.000 0% Sortal reasoning (32 calls)
% 0.62/0.79 ; 0.001 0% Purity testing (1 call)
% 0.62/0.79 ; 0.022 7% Other
% 0.62/0.79 ; 0.315 Total
% 0.62/0.79 ; 0.316 Real time
% 0.62/0.79 ;
% 0.62/0.79 ; Term-hash-array has 1,432 terms in all.
% 0.62/0.79 ; Feature-vector-row-index has 408 entries (408 at peak, 492 added, 84 deleted).
% 0.62/0.79 ; Feature-vector-row-index has 1,590 nodes (1,590 at peak, 2,331 added, 741 deleted).
% 0.62/0.79 ; Retrieved 357 possibly forward subsuming rows in 646 calls.
% 0.62/0.79 ; Retrieved 106 possibly backward subsumed rows in 492 calls.
% 0.62/0.79 ; Path-index has 1,152 entries (1,152 at peak, 1,505 added, 353 deleted).
% 0.62/0.79 ; Path-index has 2,401 nodes (2,401 at peak, 2,755 added, 354 deleted).
% 0.62/0.79 ; Trie-index has 1,152 entries (1,152 at peak, 1,505 added, 353 deleted).
% 0.62/0.79 ; Trie-index has 1,561 nodes (1,561 at peak, 2,105 added, 544 deleted).
% 0.62/0.79 ; Retrieved 7,754 generalization terms in 5,610 calls.
% 0.62/0.79 ; Retrieved 574 instance terms in 261 calls.
% 0.62/0.79 ;
% 0.62/0.79 ; The agenda of input rows to give has 640 entries:
% 0.62/0.79 ; 11 with value 3 31 with value 16 2 with value 29
% 0.62/0.79 ; 20 with value 4 55 with value 17 5 with value 30
% 0.62/0.79 ; 5 with value 5 33 with value 18 2 with value 31
% 0.62/0.79 ; 14 with value 6 14 with value 19 8 with value 32
% 0.62/0.79 ; 20 with value 7 11 with value 20 2 with value 33
% 0.62/0.79 ; 18 with value 8 22 with value 21 1 with value 34
% 0.62/0.79 ; 8 with value 9 14 with value 22 2 with value 35
% 0.62/0.79 ; 86 with value 10 15 with value 23 2 with value 37
% 0.62/0.79 ; 79 with value 11 3 with value 25 1 with value 38
% 0.62/0.79 ; 28 with value 12 10 with value 26 2 with value 44
% 0.62/0.79 ; 47 with value 13 3 with value 27 1 with value 63
% 0.62/0.79 ; 22 with value 14 6 with value 28 2 with value 64
% 0.62/0.79 ; 35 with value 15
% 0.62/0.79 Evaluation took:
% 0.62/0.79 0.317 seconds of real time
% 0.62/0.79 0.299599 seconds of user run time
% 0.62/0.79 0.017207 seconds of system run time
% 0.62/0.79 [Run times include 0.008 seconds GC run time.]
% 0.62/0.79 0 calls to %EVAL
% 0.62/0.79 0 page faults and
% 0.62/0.79 22,743,552 bytes consed.
% 0.62/0.79 :PROOF-FOUND
% 0.62/0.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T21:21:08
% 0.62/0.79 :PROOF-FOUND
% 0.62/0.79 *
%------------------------------------------------------------------------------