TSTP Solution File: NUM924+7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:15:14 EDT 2022
% Result : Theorem 1.68s 1.87s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 11 RR)
% Number of literals : 26 ( 21 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(51,hypothesis,
ti(int,bit0(X)) = bit0(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit0_res) ).
cnf(53,hypothesis,
ti(int,bit1(X)) = bit1(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit1_res) ).
cnf(95,axiom,
ti(int,m) = m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_m_res) ).
cnf(101,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,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(102,axiom,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,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(128,axiom,
number_number_of(int,X) = ti(int,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).
cnf(129,axiom,
hAPP(int,int,times_times(int,X),Y) = hAPP(int,int,times_times(int,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zmult__commute) ).
cnf(183,axiom,
hAPP(int,int,times_times(int,pls),X) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_mult__Pls) ).
cnf(184,axiom,
hAPP(int,int,times_times(int,bit0(X)),Y) = bit0(hAPP(int,int,times_times(int,X),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_mult__Bit0) ).
cnf(189,axiom,
hAPP(int,int,times_times(int,one_one(int)),X) = ti(int,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_zmult__1) ).
cnf(190,plain,
hAPP(int,int,times_times(int,one_one(int)),X) = number_number_of(int,X),
inference('REWRITE',[status(thm)],[189,128,theory(equality)]) ).
cnf(241,axiom,
hAPP(int,int,plus_plus(int,X),Y) = hAPP(int,int,plus_plus(int,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_zadd__commute) ).
cnf(258,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_one__is__num__one) ).
cnf(278,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_Pls__def) ).
cnf(286,axiom,
hAPP(int,int,plus_plus(int,X),pls) = ti(int,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_add__Pls__right) ).
cnf(287,plain,
hAPP(int,int,plus_plus(int,X),pls) = number_number_of(int,X),
inference('REWRITE',[status(thm)],[286,128,theory(equality)]) ).
cnf(323,axiom,
hAPP(int,int,plus_plus(int,bit0(X)),bit1(Y)) = bit1(hAPP(int,int,plus_plus(int,X),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_add__Bit0__Bit1) ).
cnf(1716,negated_conjecture,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,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(1717,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls)))))),pls)),
inference('REWRITE',[status(thm)],[1716,278,241,theory(equality)]) ).
cnf(1861,plain,
number_number_of(int,m) = m,
inference('REWRITE',[status(thm)],[95,128,theory(equality)]) ).
cnf(1887,plain,
number_number_of(int,bit1(X)) = bit1(X),
inference('REWRITE',[status(thm)],[53,128,theory(equality)]) ).
cnf(1898,plain,
one_one(int) = bit1(pls),
inference('REWRITE',[status(thm)],[258,1887,theory(equality)]) ).
cnf(1902,plain,
hAPP(int,int,times_times(int,bit1(pls)),X) = number_number_of(int,X),
inference('REWRITE',[status(thm)],[190,1898,theory(equality)]) ).
cnf(1966,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls)))))),pls)),
inference('REWRITE',[status(thm)],[1717,1898,theory(equality)]) ).
cnf(2010,plain,
number_number_of(int,bit0(X)) = bit0(X),
inference('REWRITE',[status(thm)],[51,128,theory(equality)]) ).
cnf(2099,plain,
$false,
inference('REWRITE',[status(thm)],[101,1966,183,129,278,287,323,1861,1902,184,2010,241,1898,102,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% 0.09/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Tue Jul 5 15:30:57 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.24/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.51 *
% 0.24/0.51 *
% 0.24/0.52 #<PACKAGE "SNARK-USER">
% 0.24/0.52 *
% 0.24/0.52 SNARK-TPTP-OPTIONS
% 0.24/0.52 *
% 0.24/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.24/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.24/0.52 (USE-FACTORING :POS)
% 0.24/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.24/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.24/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.24/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.24/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.24/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.24/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.24/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.24/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.24/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.24/0.52 *
% 0.24/0.52 "."
% 0.24/0.52 *
% 0.24/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T15:30:57
% 0.24/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T15:30:57
% 1.68/1.87
% 1.68/1.87
% 1.68/1.87 #||
% 1.68/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.87 % SZS output start Refutation
% See solution above
% 1.68/1.87 ||#
% 1.68/1.87
% 1.68/1.87 ; Summary of computation:
% 1.68/1.87 ; 2330 formulas have been input or derived (from 1 formulas).
% 1.68/1.87 ; 2099 (90%) were retained. Of these,
% 1.68/1.87 ; 682 (32%) were simplified or subsumed later,
% 1.68/1.87 ; 1417 (68%) are still being kept.
% 1.68/1.87 ;
% 1.68/1.87 ; Run time in seconds excluding printing time:
% 1.68/1.87 ; 0.333 25% Read assertion file (1 call)
% 1.68/1.87 ; 0.039 3% Assert (1,255 calls)
% 1.68/1.87 ; 0.206 15% Process new row (2,062 calls)
% 1.68/1.87 ; 0.032 2% Condensing (1,513 calls)
% 1.68/1.87 ; 0.419 31% Forward subsumption (1,513 calls)
% 1.68/1.87 ; 0.104 8% Backward subsumption (1,312 calls)
% 1.68/1.87 ; 0.002 0% Clause clause subsumption (1,114 calls)
% 1.68/1.87 ; 0.093 7% Forward simplification (2,062 calls)
% 1.68/1.87 ; 0.047 3% Backward simplification (1,835 calls)
% 1.68/1.87 ; 0.044 3% Ordering (3,194 calls)
% 1.68/1.87 ; 0.000 0% Sortal reasoning (32 calls)
% 1.68/1.87 ; 0.003 0% Purity testing (1 call)
% 1.68/1.87 ; 0.026 2% Other
% 1.68/1.87 ; 1.348 Total
% 1.68/1.87 ; 1.351 Real time
% 1.68/1.87 ;
% 1.68/1.87 ; Term-hash-array has 4,232 terms in all.
% 1.68/1.87 ; Feature-vector-row-index has 1,029 entries (1,029 at peak, 1,312 added, 283 deleted).
% 1.68/1.87 ; Feature-vector-row-index has 16,362 nodes (16,558 at peak, 22,721 added, 6,359 deleted).
% 1.68/1.87 ; Retrieved 1,441 possibly forward subsuming rows in 1,513 calls.
% 1.68/1.87 ; Retrieved 594 possibly backward subsumed rows in 1,312 calls.
% 1.68/1.87 ; Path-index has 3,448 entries (3,448 at peak, 4,589 added, 1,141 deleted).
% 1.68/1.87 ; Path-index has 10,042 nodes (10,042 at peak, 12,066 added, 2,024 deleted).
% 1.68/1.87 ; Trie-index has 3,448 entries (3,448 at peak, 4,589 added, 1,141 deleted).
% 1.68/1.87 ; Trie-index has 15,751 nodes (16,082 at peak, 24,068 added, 8,317 deleted).
% 1.68/1.87 ; Retrieved 4,614 generalization terms in 17,073 calls.
% 1.68/1.87 ; Retrieved 1,973 instance terms in 590 calls.
% 1.68/1.87 ;
% 1.68/1.87 ; The agenda of input rows to give has 1416 entries:
% 1.68/1.87 ; 154 with value 3 5 with value 39 4 with value 73
% 1.68/1.87 ; 1 with value 4 11 with value 40 4 with value 74
% 1.68/1.87 ; 5 with value 6 41 with value 41 2 with value 75
% 1.68/1.87 ; 14 with value 7 22 with value 42 8 with value 76
% 1.68/1.87 ; 1 with value 8 29 with value 43 4 with value 77
% 1.68/1.87 ; 4 with value 9 20 with value 44 4 with value 78
% 1.68/1.87 ; 16 with value 10 17 with value 45 5 with value 79
% 1.68/1.87 ; 4 with value 11 11 with value 46 1 with value 80
% 1.68/1.87 ; 26 with value 12 36 with value 47 5 with value 81
% 1.68/1.87 ; 16 with value 13 23 with value 48 3 with value 82
% 1.68/1.87 ; 11 with value 14 19 with value 49 2 with value 83
% 1.68/1.87 ; 17 with value 15 30 with value 50 6 with value 84
% 1.68/1.87 ; 11 with value 16 17 with value 51 2 with value 85
% 1.68/1.87 ; 33 with value 17 10 with value 52 7 with value 86
% 1.68/1.87 ; 38 with value 18 17 with value 53 6 with value 87
% 1.68/1.87 ; 23 with value 19 9 with value 54 1 with value 88
% 1.68/1.87 ; 10 with value 20 13 with value 55 2 with value 89
% 1.68/1.87 ; 23 with value 21 13 with value 56 1 with value 90
% 1.68/1.87 ; 23 with value 22 13 with value 57 1 with value 91
% 1.68/1.87 ; 14 with value 23 13 with value 58 4 with value 92
% 1.68/1.87 ; 26 with value 24 8 with value 59 1 with value 93
% 1.68/1.87 ; 23 with value 25 16 with value 60 1 with value 97
% 1.68/1.87 ; 8 with value 26 7 with value 61 4 with value 100
% 1.68/1.87 ; 11 with value 27 3 with value 62 6 with value 101
% 1.68/1.87 ; 25 with value 28 20 with value 63 6 with value 103
% 1.68/1.87 ; 13 with value 29 26 with value 64 1 with value 105
% 1.68/1.87 ; 21 with value 30 22 with value 65 1 with value 106
% 1.68/1.87 ; 14 with value 31 5 with value 66 2 with value 112
% 1.68/1.87 ; 25 with value 32 13 with value 67 1 with value 116
% 1.68/1.87 ; 11 with value 33 40 with value 68 1 with value 118
% 1.68/1.87 ; 15 with value 34 2 with value 69 2 with value 124
% 1.68/1.87 ; 49 with value 35 1 with value 70 1 with value 129
% 1.68/1.87 ; 47 with value 36 4 with value 71 1 with value 148
% 1.68/1.87 ; 9 with value 37 3 with value 72 1 with value 149
% 1.68/1.87 ; 35 with value 38
% 1.68/1.87 Evaluation took:
% 1.68/1.87 1.354 seconds of real time
% 1.68/1.87 1.278293 seconds of user run time
% 1.68/1.87 0.075025 seconds of system run time
% 1.68/1.87 [Run times include 0.163 seconds GC run time.]
% 1.68/1.87 0 calls to %EVAL
% 1.68/1.87 0 page faults and
% 1.68/1.87 132,862,464 bytes consed.
% 1.68/1.87 :PROOF-FOUND
% 1.68/1.87 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T15:30:59
% 1.68/1.87 :PROOF-FOUND
% 1.68/1.87 *
%------------------------------------------------------------------------------