TSTP Solution File: LCL760-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL760-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:25:49 EDT 2022
% Result : Unsatisfiable 0.51s 0.71s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-5 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(X))),c_Suc(Y))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(X)),Y)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(X),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),Y,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(v_ia))),c_Suc(v_ja))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(v_ia)),v_ja)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(485,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL760-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 16:05:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /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 2022-07-02T16:05:55
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-02T16:05:55
% 0.39/0.61
% 0.39/0.61 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62 WARNING:
% 0.39/0.62 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.71 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.51/0.71
% 0.51/0.71 #||
% 0.51/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.71 % SZS output start Refutation
% See solution above
% 0.51/0.71 ||#
% 0.51/0.71
% 0.51/0.71 ; Summary of computation:
% 0.51/0.71 ; 711 formulas have been input or derived (from 1 formulas).
% 0.51/0.71 ; 485 (68%) were retained. Of these,
% 0.51/0.71 ; 70 (14%) were simplified or subsumed later,
% 0.51/0.71 ; 415 (86%) are still being kept.
% 0.51/0.71 ;
% 0.51/0.71 ; Run time in seconds:
% 0.51/0.71 ; 0.132 52% Read assertion file (1 call)
% 0.51/0.71 ; 0.010 4% Assert (651 calls)
% 0.51/0.71 ; 0.045 18% Process new row (601 calls)
% 0.51/0.71 ; 0.006 2% Condensing (415 calls)
% 0.51/0.71 ; 0.007 3% Forward subsumption (415 calls)
% 0.51/0.71 ; 0.006 2% Backward subsumption (355 calls)
% 0.51/0.71 ; 0.003 1% Clause clause subsumption (380 calls)
% 0.51/0.71 ; 0.014 6% Forward simplification (543 calls)
% 0.51/0.71 ; 0.003 1% Backward simplification (450 calls)
% 0.51/0.71 ; 0.002 1% Ordering (208 calls)
% 0.51/0.71 ; 0.000 0% Sortal reasoning (32 calls)
% 0.51/0.71 ; 0.002 1% Purity testing (1 call)
% 0.51/0.71 ; 0.024 9% Other
% 0.51/0.71 ; 0.254 Total
% 0.51/0.71 ; 0.254 Real time
% 0.51/0.71 ;
% 0.51/0.71 ; Term-hash-array has 1,144 terms in all.
% 0.51/0.71 ; Feature-vector-row-index has 331 entries (331 at peak, 355 added, 24 deleted).
% 0.51/0.71 ; Feature-vector-row-index has 1,824 nodes (1,824 at peak, 2,040 added, 216 deleted).
% 0.51/0.71 ; Retrieved 311 possibly forward subsuming rows in 415 calls.
% 0.51/0.71 ; Retrieved 194 possibly backward subsumed rows in 355 calls.
% 0.51/0.71 ; Path-index has 1,068 entries (1,068 at peak, 1,183 added, 115 deleted).
% 0.51/0.71 ; Path-index has 3,621 nodes (3,621 at peak, 3,767 added, 146 deleted).
% 0.51/0.71 ; Trie-index has 1,068 entries (1,068 at peak, 1,183 added, 115 deleted).
% 0.51/0.71 ; Trie-index has 4,625 nodes (4,625 at peak, 5,120 added, 495 deleted).
% 0.51/0.71 ; Retrieved 333 generalization terms in 2,222 calls.
% 0.51/0.71 ; Retrieved 224 instance terms in 118 calls.
% 0.51/0.71 ;
% 0.51/0.71 ; The agenda of input rows to process has 36 entries:
% 0.51/0.71 ; 36 with value 0
% 0.51/0.71 ; The agenda of backward simplifiable rows to process has 24 entries:
% 0.51/0.71 ; 24 with value 0
% 0.51/0.71 ; The agenda of input rows to give has 414 entries:
% 0.51/0.71 ; 2 with value 5 15 with value 20 6 with value 34
% 0.51/0.71 ; 3 with value 6 20 with value 21 1 with value 35
% 0.51/0.71 ; 6 with value 7 16 with value 22 2 with value 36
% 0.51/0.71 ; 5 with value 8 11 with value 23 4 with value 37
% 0.51/0.71 ; 3 with value 9 27 with value 24 6 with value 38
% 0.51/0.71 ; 8 with value 10 14 with value 25 2 with value 40
% 0.51/0.71 ; 13 with value 11 11 with value 26 1 with value 41
% 0.51/0.71 ; 13 with value 12 22 with value 27 2 with value 42
% 0.51/0.71 ; 25 with value 13 11 with value 28 1 with value 43
% 0.51/0.71 ; 25 with value 14 6 with value 29 2 with value 47
% 0.51/0.71 ; 6 with value 15 8 with value 30 1 with value 48
% 0.51/0.71 ; 23 with value 16 5 with value 31 1 with value 49
% 0.51/0.71 ; 22 with value 17 5 with value 32 1 with value 53
% 0.51/0.71 ; 31 with value 18 4 with value 33 1 with value 59
% 0.51/0.71 ; 23 with value 19
% 0.51/0.71 Evaluation took:
% 0.51/0.71 0.254 seconds of real time
% 0.51/0.71 0.239468 seconds of user run time
% 0.51/0.71 0.015263 seconds of system run time
% 0.51/0.71 [Run times include 0.008 seconds GC run time.]
% 0.51/0.71 0 calls to %EVAL
% 0.51/0.71 0 page faults and
% 0.51/0.71 15,943,776 bytes consed.
% 0.51/0.71 :PROOF-FOUND
% 0.51/0.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T16:05:55
% 0.51/0.71 :PROOF-FOUND
% 0.51/0.71 *
%------------------------------------------------------------------------------