TSTP Solution File: LCL811-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL811-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 : Sun Jul 17 14:26:19 EDT 2022
% Result : Unsatisfiable 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 10 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-5 aty)
% Number of variables : 36 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_rev__singleton__conv_1,axiom,
c_List_Orev(c_List_Olist_OCons(X,c_List_Olist_ONil(Y),Y),Y) = c_List_Olist_OCons(X,c_List_Olist_ONil(Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).
cnf(cls_eq__Nil__appendI_0,axiom,
X = c_List_Oappend(c_List_Olist_ONil(Y),X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(cls_rev__eq__Cons__iff_1,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X,Y),c_List_Olist_OCons(Z,c_List_Olist_ONil(Y),Y),Y),Y) = c_List_Olist_OCons(Z,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
cnf(cls_rev__is__Nil__conv_1,axiom,
c_List_Orev(c_List_Olist_ONil(X),X) = c_List_Olist_ONil(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
cnf(cls_map__append_0,axiom,
c_List_Omap(X,c_List_Oappend(Y,Z,U),U,V) = c_List_Oappend(c_List_Omap(X,Y,U,V),c_List_Omap(X,Z,U,V),V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__append_0) ).
cnf(cls_rev__map_0,axiom,
c_List_Orev(c_List_Omap(X,Y,Z,U),U) = c_List_Omap(X,c_List_Orev(Y,Z),Z,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__map_0) ).
cnf(cls_map__is__Nil__conv_1,axiom,
c_List_Omap(X,c_List_Olist_ONil(Y),Y,Z) = c_List_Olist_ONil(Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__is__Nil__conv_1) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(c_COMBC(X,Y,Z,U,V),W) = hAPP(hAPP(X,W),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_map__eq__Cons__conv_3,axiom,
c_List_Omap(X,c_List_Olist_OCons(Y,Z,U),U,V) = c_List_Olist_OCons(hAPP(X,Y),c_List_Omap(X,Z,U,V),V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__eq__Cons__conv_3) ).
cnf(345,plain,
c_List_Omap(X,c_List_Olist_OCons(Y,Z,U),U,V) = c_List_Orev(c_List_Oappend(c_List_Orev(c_List_Omap(X,Z,U,V),V),c_List_Olist_OCons(hAPP(X,Y),c_List_Olist_ONil(V),V),V),V),
inference('REWRITE',[status(thm)],[cls_map__eq__Cons__conv_3,cls_rev__eq__Cons__iff_1,theory(equality)]) ).
cnf(cls_CHAINED_0,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(350,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Orev(c_List_Oappend(c_List_Orev(c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_rev__eq__Cons__iff_1,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_b____,v_bs____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(352,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,350,cls_rev__singleton__conv_1,cls_eq__Nil__appendI_0,cls_rev__is__Nil__conv_1,cls_map__is__Nil__conv_1,cls_map__append_0,cls_rev__map_0,cls_COMBC__def_0,345,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL811-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n015.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 : Sat Jul 2 10:31:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T10:31:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-02T10:31:44
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_OrderedGroup_Olordered__ab__group__add__meet| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 #||
% 0.47/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 453 formulas have been input or derived (from 1 formulas).
% 0.47/0.65 ; 352 (78%) were retained. Of these,
% 0.47/0.65 ; 23 ( 7%) were simplified or subsumed later,
% 0.47/0.65 ; 329 (93%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.095 51% Read assertion file (1 call)
% 0.47/0.65 ; 0.012 6% Assert (432 calls)
% 0.47/0.65 ; 0.023 12% Process new row (403 calls)
% 0.47/0.65 ; 0.005 3% Condensing (235 calls)
% 0.47/0.65 ; 0.002 1% Forward subsumption (235 calls)
% 0.47/0.65 ; 0.003 2% Backward subsumption (214 calls)
% 0.47/0.65 ; 0.001 1% Clause clause subsumption (119 calls)
% 0.47/0.65 ; 0.018 10% Forward simplification (391 calls)
% 0.47/0.65 ; 0.003 2% Backward simplification (337 calls)
% 0.47/0.65 ; 0.005 3% Ordering (424 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.001 1% Purity testing (1 call)
% 0.47/0.65 ; 0.017 9% Other
% 0.47/0.65 ; 0.185 Total
% 0.47/0.65 ; 0.187 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 1,057 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 210 entries (210 at peak, 214 added, 4 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 1,009 nodes (1,009 at peak, 1,053 added, 44 deleted).
% 0.47/0.65 ; Retrieved 86 possibly forward subsuming rows in 235 calls.
% 0.47/0.65 ; Retrieved 58 possibly backward subsumed rows in 214 calls.
% 0.47/0.65 ; Path-index has 1,036 entries (1,036 at peak, 1,083 added, 47 deleted).
% 0.47/0.65 ; Path-index has 5,074 nodes (5,074 at peak, 5,166 added, 92 deleted).
% 0.47/0.65 ; Trie-index has 1,036 entries (1,036 at peak, 1,083 added, 47 deleted).
% 0.47/0.65 ; Trie-index has 5,038 nodes (5,038 at peak, 5,226 added, 188 deleted).
% 0.47/0.65 ; Retrieved 287 generalization terms in 1,552 calls.
% 0.47/0.65 ; Retrieved 237 instance terms in 167 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of input rows to process has 26 entries:
% 0.47/0.65 ; 26 with value 0
% 0.47/0.65 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.47/0.65 ; 6 with value 0
% 0.47/0.65 ; The agenda of input rows to give has 328 entries:
% 0.47/0.65 ; 1 with value 4 23 with value 19 6 with value 32
% 0.47/0.65 ; 4 with value 6 11 with value 20 8 with value 33
% 0.47/0.65 ; 3 with value 7 19 with value 21 5 with value 34
% 0.47/0.66 ; 4 with value 8 13 with value 22 2 with value 35
% 0.47/0.66 ; 5 with value 9 9 with value 23 3 with value 36
% 0.47/0.66 ; 8 with value 10 10 with value 24 1 with value 38
% 0.47/0.66 ; 19 with value 11 9 with value 25 1 with value 40
% 0.47/0.66 ; 17 with value 12 11 with value 26 1 with value 42
% 0.47/0.66 ; 16 with value 13 4 with value 27 4 with value 43
% 0.47/0.66 ; 19 with value 14 10 with value 28 1 with value 47
% 0.47/0.66 ; 24 with value 15 4 with value 29 1 with value 48
% 0.47/0.66 ; 16 with value 16 4 with value 30 1 with value 61
% 0.47/0.66 ; 9 with value 17 3 with value 31 1 with value 77
% 0.47/0.66 ; 18 with value 18
% 0.47/0.66 Evaluation took:
% 0.47/0.66 0.188 seconds of real time
% 0.47/0.66 0.174385 seconds of user run time
% 0.47/0.66 0.013561 seconds of system run time
% 0.47/0.66 0 calls to %EVAL
% 0.47/0.66 0 page faults and
% 0.47/0.66 11,826,576 bytes consed.
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T10:31:44
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 *
%------------------------------------------------------------------------------