TSTP Solution File: LCL794-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL794-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:26:08 EDT 2022
% Result : Unsatisfiable 0.87s 1.07s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 2 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_uT_0,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
cnf(cls_T_0,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_0) ).
cnf(cls_lift__type_0,axiom,
( c_Type_Otyping(c_Type_Oshift(X,Y,Z,tc_Type_Otype),c_Lambda_Olift(U,Y),V)
| ~ c_Type_Otyping(X,U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).
cnf(cls_App_0,axiom,
( c_Type_Otyping(X,hAPP(hAPP(c_Lambda_OdB_OApp,Y),Z),U)
| ~ c_Type_Otyping(X,Z,V)
| ~ c_Type_Otyping(X,Y,hAPP(hAPP(c_Type_Otype_OFun,V),U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_0) ).
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_conjecture_0,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(589,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,X,Y,tc_Type_Otype),c_Lambda_Olift(v_u____,X),v_T____),
inference('HYPERRESOLVE',[status(thm)],[cls_lift__type_0,cls_uT_0]) ).
cnf(1461,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_App_0,cls_conjecture_0,cls_typing_OVar_0]),589,cls_T_0,cls_shift__eq_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL794-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 10:15:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:15:19
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-04T10:15:19
% 0.18/0.51
% 0.18/0.51 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.18/0.51 WARNING:
% 0.18/0.51 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.51 WARNING:
% 0.18/0.51 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.51 WARNING:
% 0.18/0.51 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.51 WARNING:
% 0.18/0.51 |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.51 WARNING:
% 0.18/0.51 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.51 WARNING:
% 0.18/0.51 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.51 WARNING:
% 0.18/0.51 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.87/1.07 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.87/1.07
% 0.87/1.07 #||
% 0.87/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.07 % SZS output start Refutation
% See solution above
% 0.87/1.07 ||#
% 0.87/1.07
% 0.87/1.07 ; Summary of computation:
% 0.87/1.07 ; 4061 formulas have been input or derived (from 262 formulas).
% 0.87/1.07 ; 1461 (36%) were retained. Of these,
% 0.87/1.07 ; 42 ( 3%) were simplified or subsumed later,
% 0.87/1.07 ; 1419 (97%) are still being kept.
% 0.87/1.07 ;
% 0.87/1.07 ; Run time in seconds excluding printing time:
% 0.87/1.07 ; 0.040 7% Read assertion file (1 call)
% 0.87/1.07 ; 0.003 0% Assert (435 calls)
% 0.87/1.07 ; 0.127 21% Process new row (3,499 calls)
% 0.87/1.07 ; 0.078 13% Resolution (522 calls)
% 0.87/1.07 ; 0.015 2% Paramodulation (261 calls)
% 0.87/1.07 ; 0.000 0% Factoring (5 calls)
% 0.87/1.07 ; 0.027 4% Condensing (1,322 calls)
% 0.87/1.07 ; 0.098 16% Forward subsumption (1,322 calls)
% 0.91/1.08 ; 0.010 2% Backward subsumption (646 calls)
% 0.91/1.08 ; 0.022 4% Clause clause subsumption (3,948 calls)
% 0.91/1.08 ; 0.092 15% Forward simplification (3,439 calls)
% 0.91/1.08 ; 0.015 2% Backward simplification (1,450 calls)
% 0.91/1.08 ; 0.043 7% Ordering (8,365 calls)
% 0.91/1.08 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.08 ; 0.000 0% Purity testing (1 call)
% 0.91/1.08 ; 0.039 6% Other
% 0.91/1.08 ; 0.609 Total
% 0.91/1.08 ; 0.621 Real time
% 0.91/1.08 ;
% 0.91/1.08 ; Term-hash-array has 3,439 terms in all.
% 0.91/1.08 ; Feature-vector-row-index has 634 entries (634 at peak, 646 added, 12 deleted).
% 0.91/1.08 ; Feature-vector-row-index has 3,906 nodes (3,906 at peak, 3,969 added, 63 deleted).
% 0.91/1.08 ; Retrieved 6,238 possibly forward subsuming rows in 1,322 calls.
% 0.91/1.08 ; Retrieved 389 possibly backward subsumed rows in 646 calls.
% 0.91/1.08 ; Path-index has 3,396 entries (3,396 at peak, 3,492 added, 96 deleted).
% 0.91/1.08 ; Path-index has 8,461 nodes (8,461 at peak, 8,624 added, 163 deleted).
% 0.91/1.08 ; Trie-index has 3,396 entries (3,396 at peak, 3,492 added, 96 deleted).
% 0.91/1.08 ; Trie-index has 14,705 nodes (14,705 at peak, 15,122 added, 417 deleted).
% 0.91/1.08 ; Retrieved 13,198 generalization terms in 19,322 calls.
% 0.91/1.08 ; Retrieved 1,475 instance terms in 968 calls.
% 0.91/1.08 ; Retrieved 100,342 unifiable terms in 2,715 calls.
% 0.91/1.08 ;
% 0.91/1.08 ; The agenda of input rows to give has 25 entries:
% 0.91/1.08 ; 2 with value 29 1 with value 33 1 with value 42
% 0.91/1.08 ; 4 with value 30 2 with value 35 1 with value 47
% 0.91/1.08 ; 5 with value 31 2 with value 38 1 with value 52
% 0.91/1.08 ; 6 with value 32
% 0.91/1.08 ; The agenda of rows to give has 1134 entries:
% 0.91/1.08 ; 1 with value (4 6) 48 with value (4 22) 22 with value (4 38)
% 0.91/1.08 ; 4 with value (4 7) 58 with value (4 23) 13 with value (4 39)
% 0.91/1.08 ; 4 with value (4 8) 54 with value (4 24) 10 with value (4 40)
% 0.91/1.08 ; 7 with value (4 9) 36 with value (4 25) 13 with value (4 41)
% 0.91/1.08 ; 12 with value (4 10) 51 with value (4 26) 10 with value (4 42)
% 0.91/1.08 ; 21 with value (4 11) 33 with value (4 27) 10 with value (4 43)
% 0.91/1.08 ; 17 with value (4 12) 38 with value (4 28) 8 with value (4 44)
% 0.91/1.08 ; 30 with value (4 13) 37 with value (4 29) 3 with value (4 45)
% 0.91/1.08 ; 14 with value (4 14) 39 with value (4 30) 5 with value (4 46)
% 0.91/1.08 ; 39 with value (4 15) 29 with value (4 31) 1 with value (4 47)
% 0.91/1.08 ; 35 with value (4 16) 52 with value (4 32) 6 with value (4 48)
% 0.91/1.08 ; 44 with value (4 17) 27 with value (4 33) 1 with value (4 49)
% 0.91/1.08 ; 43 with value (4 18) 28 with value (4 34) 4 with value (4 52)
% 0.91/1.08 ; 51 with value (4 19) 32 with value (4 35) 1 with value (4 55)
% 0.91/1.08 ; 49 with value (4 20) 16 with value (4 36) 4 with value (4 60)
% 0.91/1.08 ; 55 with value (4 21) 19 with value (4 37)
% 0.91/1.08 Evaluation took:
% 0.91/1.08 0.621 seconds of real time
% 0.91/1.08 0.570081 seconds of user run time
% 0.91/1.08 0.050719 seconds of system run time
% 0.91/1.08 [Run times include 0.043 seconds GC run time.]
% 0.91/1.08 0 calls to %EVAL
% 0.91/1.08 0 page faults and
% 0.91/1.08 50,326,056 bytes consed.
% 0.91/1.08 :PROOF-FOUND
% 0.91/1.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:15:20
% 0.91/1.08 :PROOF-FOUND
% 0.91/1.08 *
%------------------------------------------------------------------------------