TSTP Solution File: NUM926+6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM926+6 : 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 14:15:23 EDT 2022
% Result : Theorem 0.88s 1.06s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 15 unt; 2 nHn; 16 RR)
% Number of literals : 25 ( 15 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(44,hypothesis,
ti(int,bit1(X)) = bit1(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit1_res) ).
cnf(81,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_v_t_____res) ).
cnf(82,axiom,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
cnf(83,axiom,
( t != one_one(int)
| plus_plus(int,power_power(int,'SKOLEMAAAU1',number_number_of(nat,bit0(bit1(pls)))),power_power(int,'SKOLEMAAAU2',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) ).
cnf(84,axiom,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,power_power(int,'SKOLEMAAAU3',number_number_of(nat,bit0(bit1(pls)))),power_power(int,'SKOLEMAAAU4',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) ).
cnf(107,axiom,
( ord_less(int,X,Y)
| ~ ord_less_eq(int,X,Y)
| ti(int,X) = ti(int,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_zless__le) ).
cnf(179,axiom,
number_number_of(int,X) = ti(int,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_number__of__is__id) ).
cnf(269,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_one__is__num__one) ).
cnf(864,negated_conjecture,
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) ).
cnf(865,plain,
~ ord_less(int,one_one(int),t),
inference('REWRITE',[status(thm)],[84,864]) ).
cnf(866,plain,
t != one_one(int),
inference('REWRITE',[status(thm)],[83,864]) ).
cnf(881,plain,
number_number_of(int,t) = t,
inference('REWRITE',[status(thm)],[81,179,theory(equality)]) ).
cnf(916,plain,
number_number_of(int,bit1(X)) = bit1(X),
inference('REWRITE',[status(thm)],[44,179,theory(equality)]) ).
cnf(921,plain,
one_one(int) = bit1(pls),
inference('REWRITE',[status(thm)],[269,916,theory(equality)]) ).
cnf(922,plain,
ord_less_eq(int,bit1(pls),t),
inference('REWRITE',[status(thm)],[82,921,theory(equality)]) ).
cnf(969,plain,
~ ord_less(int,bit1(pls),t),
inference('REWRITE',[status(thm)],[865,921,theory(equality)]) ).
cnf(970,plain,
t != bit1(pls),
inference('REWRITE',[status(thm)],[866,921,theory(equality)]) ).
cnf(1041,plain,
( ord_less(int,X,Y)
| ~ ord_less_eq(int,X,Y)
| number_number_of(int,X) = number_number_of(int,Y) ),
inference('REWRITE',[status(thm)],[107,179,theory(equality)]) ).
cnf(1978,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1041,969,922]),970,881,916,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM926+6 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % 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 : Thu Jul 7 17:48:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T17:48:07
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-07T17:48:07
% 0.37/0.63
% 0.46/0.63 ; Recognized possible left identity assertion (|ord_less_eq| |int| ?X ?X).
% 0.46/0.63 ; Recognized commutativity assertion (OR (NOT (|zcong| ?X ?Y ?Z)) (|zcong| ?Y ?X ?Z)).
% 0.46/0.64 ; Recognized commutativity assertion (OR (|zcong| ?X ?Y ?Z) (NOT (|zcong| ?Y ?X ?Z))).
% 0.46/0.64 ; Recognized possible left identity assertion (|ord_less_eq| |real| ?X ?X).
% 0.88/1.06 ; Declaring zcong to be commutative.
% 0.88/1.06
% 0.88/1.06 #||
% 0.88/1.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/1.06 % SZS output start Refutation
% See solution above
% 0.88/1.07 ||#
% 0.88/1.07
% 0.88/1.07 ; Summary of computation:
% 0.88/1.07 ; 5178 formulas have been input or derived (from 448 formulas).
% 0.88/1.07 ; 1978 (38%) were retained. Of these,
% 0.88/1.07 ; 402 (20%) were simplified or subsumed later,
% 0.88/1.07 ; 1576 (80%) are still being kept.
% 0.88/1.07 ;
% 0.88/1.07 ; Run time in seconds excluding printing time:
% 0.88/1.07 ; 0.147 25% Read assertion file (1 call)
% 0.88/1.07 ; 0.013 2% Assert (653 calls)
% 0.88/1.07 ; 0.119 20% Process new row (4,680 calls)
% 0.88/1.07 ; 0.052 9% Resolution (894 calls)
% 0.88/1.07 ; 0.026 4% Paramodulation (447 calls)
% 0.88/1.07 ; 0.000 0% Factoring (5 calls)
% 0.88/1.07 ; 0.022 4% Condensing (1,281 calls)
% 0.88/1.07 ; 0.037 6% Forward subsumption (1,281 calls)
% 0.88/1.07 ; 0.027 5% Backward subsumption (981 calls)
% 0.88/1.07 ; 0.005 1% Clause clause subsumption (1,315 calls)
% 0.88/1.07 ; 0.084 14% Forward simplification (4,638 calls)
% 0.88/1.07 ; 0.020 3% Backward simplification (1,873 calls)
% 0.88/1.07 ; 0.012 2% Ordering (4,044 calls)
% 0.88/1.07 ; 0.001 0% Sortal reasoning (32 calls)
% 0.88/1.07 ; 0.001 0% Purity testing (1 call)
% 0.88/1.07 ; 0.032 5% Other
% 0.88/1.07 ; 0.598 Total
% 0.88/1.07 ; 0.601 Real time
% 0.88/1.07 ;
% 0.88/1.07 ; Term-hash-array has 2,944 terms in all.
% 0.88/1.07 ; Feature-vector-row-index has 841 entries (841 at peak, 981 added, 140 deleted).
% 0.88/1.07 ; Feature-vector-row-index has 4,175 nodes (4,175 at peak, 5,323 added, 1,148 deleted).
% 0.88/1.07 ; Retrieved 1,647 possibly forward subsuming rows in 1,281 calls.
% 0.88/1.07 ; Retrieved 499 possibly backward subsumed rows in 981 calls.
% 0.88/1.07 ; Path-index has 2,515 entries (2,515 at peak, 3,100 added, 585 deleted).
% 0.88/1.07 ; Path-index has 7,006 nodes (7,006 at peak, 8,175 added, 1,169 deleted).
% 0.88/1.07 ; Trie-index has 2,515 entries (2,515 at peak, 3,100 added, 585 deleted).
% 0.88/1.07 ; Trie-index has 9,856 nodes (9,856 at peak, 13,673 added, 3,817 deleted).
% 0.88/1.07 ; Retrieved 10,094 generalization terms in 20,617 calls.
% 0.88/1.07 ; Retrieved 1,651 instance terms in 996 calls.
% 0.88/1.07 ; Retrieved 63,131 unifiable terms in 3,922 calls.
% 0.88/1.07 ;
% 0.88/1.07 ; The agenda of rows to process has 12 entries:
% 0.88/1.07 ; 5 with value 15 2 with value 20 1 with value 37
% 0.88/1.07 ; 2 with value 19 2 with value 23
% 0.88/1.07 ; The agenda of input rows to give has 301 entries:
% 0.88/1.07 ; 2 with value 19 4 with value 30 1 with value 45
% 0.88/1.07 ; 36 with value 20 11 with value 31 1 with value 46
% 0.88/1.07 ; 41 with value 21 2 with value 32 4 with value 47
% 0.88/1.07 ; 28 with value 22 4 with value 33 1 with value 48
% 0.88/1.07 ; 14 with value 23 10 with value 34 1 with value 50
% 0.88/1.07 ; 31 with value 24 3 with value 35 1 with value 52
% 0.88/1.07 ; 13 with value 25 5 with value 36 2 with value 53
% 0.88/1.07 ; 6 with value 26 4 with value 38 2 with value 56
% 0.88/1.07 ; 35 with value 27 8 with value 39 1 with value 62
% 0.88/1.07 ; 17 with value 28 1 with value 43 1 with value 93
% 0.88/1.07 ; 6 with value 29 4 with value 44 1 with value 95
% 0.88/1.07 ; The agenda of rows to give has 833 entries:
% 0.88/1.07 ; 1 with value (4 4) 52 with value (4 16) 48 with value (4 26)
% 0.88/1.07 ; 15 with value (4 6) 53 with value (4 17) 5 with value (4 27)
% 0.88/1.07 ; 33 with value (4 8) 25 with value (4 18) 8 with value (4 28)
% 0.88/1.07 ; 27 with value (4 9) 47 with value (4 19) 6 with value (4 29)
% 0.88/1.07 ; 54 with value (4 10) 54 with value (4 20) 2 with value (4 30)
% 0.88/1.07 ; 43 with value (4 11) 22 with value (4 21) 1 with value (4 34)
% 0.88/1.07 ; 51 with value (4 12) 17 with value (4 22) 2 with value (4 35)
% 0.88/1.07 ; 89 with value (4 13) 29 with value (4 23) 3 with value (4 47)
% 0.88/1.07 ; 51 with value (4 14) 10 with value (4 24) 1 with value (4 51)
% 0.88/1.07 ; 80 with value (4 15) 4 with value (4 25)
% 0.88/1.07 Evaluation took:
% 0.88/1.07 0.601 seconds of real time
% 0.88/1.07 0.551683 seconds of user run time
% 0.88/1.07 0.04886 seconds of system run time
% 0.88/1.07 [Run times include 0.033 seconds GC run time.]
% 0.88/1.07 0 calls to %EVAL
% 0.88/1.07 0 page faults and
% 0.88/1.07 42,462,328 bytes consed.
% 0.88/1.07 :PROOF-FOUND
% 0.88/1.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T17:48:07
% 0.88/1.07 :PROOF-FOUND
% 0.88/1.07 *
%------------------------------------------------------------------------------