TSTP Solution File: LCL816-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:26:22 EDT 2022
% Result : Unsatisfiable 2.00s 2.20s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-5 aty)
% Number of variables : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_foldr__foldl_0,axiom,
c_List_Ofoldr(X,Y,Z,U,V) = c_List_Ofoldl(c_COMBC(X,U,V,V),Z,c_List_Orev(Y,U),V,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr__foldl_0) ).
cnf(cls_list__app__typeI_0,axiom,
( c_Type_Otyping(X,c_List_Ofoldl(c_Lambda_OdB_OApp,Y,Z,tc_Lambda_OdB,tc_Lambda_OdB),U)
| ~ c_Type_Otypings(X,Z,V)
| ~ c_Type_Otyping(X,Y,c_List_Ofoldr(c_Type_Otype_OFun,V,U,tc_Type_Otype,tc_Type_Otype)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__app__typeI_0) ).
cnf(342,plain,
( c_Type_Otyping(X,c_List_Ofoldl(c_Lambda_OdB_OApp,Y,Z,tc_Lambda_OdB,tc_Lambda_OdB),U)
| ~ c_Type_Otypings(X,Z,V)
| ~ c_Type_Otyping(X,Y,c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),U,c_List_Orev(V,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)) ),
inference('REWRITE',[status(thm)],[cls_list__app__typeI_0,cls_foldr__foldl_0,theory(equality)]) ).
cnf(cls_shift__eq_0,axiom,
hAPP(c_Type_Oshift(X,Y,Z,U),Y) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).
cnf(cls_typing_OVar_0,axiom,
c_Type_Otyping(X,c_Lambda_OdB_OVar(Y),hAPP(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
cnf(cls_CHAINED_0,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(374,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_foldr__foldl_0,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(378,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_foldr__foldl_0,theory(equality)]) ).
cnf(487,plain,
c_Type_Otyping(c_Type_Oshift(X,Y,Z,U),c_Lambda_OdB_OVar(Y),Z),
inference('PARAMODULATE',[status(thm)],[cls_typing_OVar_0,cls_shift__eq_0,theory(equality)]) ).
cnf(3137,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[342,378,374]),487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 3 20:13:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 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 2022-07-03T20:13:00
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-03T20:13:00
% 0.20/0.61
% 0.20/0.61 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.45/0.62 WARNING:
% 0.45/0.62 |c_OrderedGroup_Oab__semigroup__add| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62 WARNING:
% 0.45/0.62 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.00/2.20 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.00/2.20
% 2.00/2.20 #||
% 2.00/2.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.00/2.20 % SZS output start Refutation
% See solution above
% 2.00/2.20 ||#
% 2.00/2.20
% 2.00/2.20 ; Summary of computation:
% 2.00/2.20 ; 7752 formulas have been input or derived (from 366 formulas).
% 2.00/2.20 ; 3137 (40%) were retained. Of these,
% 2.00/2.20 ; 78 ( 2%) were simplified or subsumed later,
% 2.00/2.20 ; 3059 (98%) are still being kept.
% 2.00/2.20 ;
% 2.00/2.20 ; Run time in seconds excluding printing time:
% 2.00/2.20 ; 0.110 6% Read assertion file (1 call)
% 2.00/2.20 ; 0.009 1% Assert (506 calls)
% 2.00/2.20 ; 0.381 22% Process new row (7,001 calls)
% 2.00/2.20 ; 0.181 11% Resolution (730 calls)
% 2.00/2.20 ; 0.050 3% Paramodulation (365 calls)
% 2.00/2.20 ; 0.000 0% Factoring (5 calls)
% 2.00/2.20 ; 0.039 2% Condensing (2,547 calls)
% 2.00/2.20 ; 0.337 20% Forward subsumption (2,547 calls)
% 2.00/2.20 ; 0.051 3% Backward subsumption (1,219 calls)
% 2.00/2.20 ; 0.047 3% Clause clause subsumption (6,555 calls)
% 2.00/2.20 ; 0.347 20% Forward simplification (6,972 calls)
% 2.00/2.20 ; 0.031 2% Backward simplification (3,115 calls)
% 2.00/2.20 ; 0.084 5% Ordering (23,200 calls)
% 2.00/2.20 ; 0.001 0% Sortal reasoning (32 calls)
% 2.00/2.20 ; 0.002 0% Purity testing (1 call)
% 2.00/2.20 ; 0.048 3% Other
% 2.00/2.20 ; 1.718 Total
% 2.00/2.20 ; 1.720 Real time
% 2.00/2.20 ;
% 2.00/2.20 ; Term-hash-array has 8,660 terms in all.
% 2.00/2.20 ; Feature-vector-row-index has 1,201 entries (1,201 at peak, 1,219 added, 18 deleted).
% 2.00/2.20 ; Feature-vector-row-index has 10,145 nodes (10,145 at peak, 10,249 added, 104 deleted).
% 2.00/2.20 ; Retrieved 13,484 possibly forward subsuming rows in 2,547 calls.
% 2.00/2.20 ; Retrieved 633 possibly backward subsumed rows in 1,219 calls.
% 2.00/2.20 ; Path-index has 8,537 entries (8,537 at peak, 8,709 added, 172 deleted).
% 2.00/2.20 ; Path-index has 16,332 nodes (16,332 at peak, 16,555 added, 223 deleted).
% 2.00/2.20 ; Trie-index has 8,537 entries (8,537 at peak, 8,709 added, 172 deleted).
% 2.00/2.20 ; Trie-index has 43,990 nodes (43,990 at peak, 44,923 added, 933 deleted).
% 2.00/2.20 ; Retrieved 30,444 generalization terms in 50,874 calls.
% 2.00/2.20 ; Retrieved 3,361 instance terms in 2,296 calls.
% 2.00/2.20 ; Retrieved 234,284 unifiable terms in 6,366 calls.
% 2.00/2.20 ;
% 2.00/2.20 ; The agenda of rows to process has 1 entry:
% 2.00/2.20 ; 1 with value 67
% 2.00/2.20 ; The agenda of rows to give has 2695 entries:
% 2.00/2.20 ; 1 with value (4 5) 116 with value (4 30) 11 with value (4 54)
% 2.00/2.20 ; 1 with value (4 6) 92 with value (4 31) 9 with value (4 55)
% 2.00/2.20 ; 4 with value (4 7) 119 with value (4 32) 11 with value (4 56)
% 2.00/2.20 ; 7 with value (4 8) 132 with value (4 33) 16 with value (4 57)
% 2.00/2.20 ; 8 with value (4 9) 68 with value (4 34) 14 with value (4 58)
% 2.00/2.20 ; 8 with value (4 10) 106 with value (4 35) 10 with value (4 59)
% 2.00/2.20 ; 21 with value (4 11) 50 with value (4 36) 2 with value (4 60)
% 2.00/2.20 ; 13 with value (4 12) 69 with value (4 37) 9 with value (4 61)
% 2.00/2.20 ; 33 with value (4 13) 63 with value (4 38) 7 with value (4 62)
% 2.00/2.20 ; 18 with value (4 14) 70 with value (4 39) 5 with value (4 63)
% 2.00/2.20 ; 45 with value (4 15) 59 with value (4 40) 8 with value (4 64)
% 2.00/2.20 ; 32 with value (4 16) 65 with value (4 41) 7 with value (4 65)
% 2.00/2.20 ; 42 with value (4 17) 64 with value (4 42) 4 with value (4 66)
% 2.00/2.20 ; 60 with value (4 18) 28 with value (4 43) 4 with value (4 67)
% 2.00/2.20 ; 67 with value (4 19) 29 with value (4 44) 1 with value (4 68)
% 2.00/2.20 ; 65 with value (4 20) 22 with value (4 45) 2 with value (4 69)
% 2.00/2.20 ; 88 with value (4 21) 36 with value (4 46) 2 with value (4 70)
% 2.00/2.20 ; 101 with value (4 22) 17 with value (4 47) 2 with value (4 71)
% 2.00/2.20 ; 122 with value (4 23) 31 with value (4 48) 1 with value (4 73)
% 2.00/2.20 ; 91 with value (4 24) 24 with value (4 49) 2 with value (4 76)
% 2.00/2.20 ; 79 with value (4 25) 15 with value (4 50) 1 with value (4 77)
% 2.00/2.20 ; 110 with value (4 26) 13 with value (4 51) 2 with value (4 79)
% 2.00/2.20 ; 58 with value (4 27) 14 with value (4 52) 3 with value (4 80)
% 2.00/2.20 ; 91 with value (4 28) 4 with value (4 53) 2 with value (4 86)
% 2.00/2.20 ; 89 with value (4 29)
% 2.00/2.20 Evaluation took:
% 2.00/2.20 1.722 seconds of real time
% 2.00/2.20 1.613729 seconds of user run time
% 2.00/2.20 0.108081 seconds of system run time
% 2.00/2.20 [Run times include 0.202 seconds GC run time.]
% 2.00/2.20 0 calls to %EVAL
% 2.00/2.20 0 page faults and
% 2.00/2.20 145,765,288 bytes consed.
% 2.00/2.20 :PROOF-FOUND
% 2.00/2.20 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T20:13:01
% 2.00/2.20 :PROOF-FOUND
% 2.00/2.20 *
%------------------------------------------------------------------------------