TSTP Solution File: LCL809-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL809-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 14:26:18 EDT 2022
% Result : Unsatisfiable 0.72s 0.89s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_lift__IT_0,axiom,
( c_InductTermi_OIT(c_Lambda_Olift(X,Y))
| ~ c_InductTermi_OIT(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__IT_0) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(671,plain,
c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),X)),
inference('HYPERRESOLVE',[status(thm)],[cls_lift__IT_0,cls_CHAINED_0]) ).
cnf(672,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL809-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.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 21:38:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-02T21:38:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-02T21:38:38
% 0.55/0.76
% 0.55/0.77 ; Recognized right identity assertion (= (|c_Nat_Osize__class_Osize| ?X |tc_nat|) ?X).
% 0.55/0.77 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Opordered__ring__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Oabs__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Osgn__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_OrderedGroup_Oordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.78 WARNING:
% 0.55/0.78 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_OrderedGroup_Opordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.78 WARNING:
% 0.62/0.78 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.89 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.72/0.89
% 0.72/0.89 #||
% 0.72/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.89 % SZS output start Refutation
% See solution above
% 0.72/0.89 ||#
% 0.72/0.89
% 0.72/0.89 ; Summary of computation:
% 0.72/0.89 ; 1345 formulas have been input or derived (from 78 formulas).
% 0.72/0.89 ; 672 (50%) were retained. Of these,
% 0.72/0.89 ; 72 (11%) were simplified or subsumed later,
% 0.72/0.89 ; 600 (89%) are still being kept.
% 0.72/0.89 ;
% 0.72/0.89 ; Run time in seconds:
% 0.72/0.89 ; 0.266 63% Read assertion file (1 call)
% 0.72/0.89 ; 0.029 7% Assert (1,239 calls)
% 0.72/0.89 ; 0.040 10% Process new row (1,282 calls)
% 0.72/0.89 ; 0.002 0% Resolution (154 calls)
% 0.72/0.89 ; 0.001 0% Paramodulation (77 calls)
% 0.72/0.89 ; 0.007 2% Condensing (579 calls)
% 0.72/0.89 ; 0.012 3% Forward subsumption (579 calls)
% 0.72/0.89 ; 0.007 2% Backward subsumption (485 calls)
% 0.72/0.89 ; 0.003 1% Clause clause subsumption (821 calls)
% 0.72/0.89 ; 0.017 4% Forward simplification (795 calls)
% 0.72/0.89 ; 0.004 1% Backward simplification (638 calls)
% 0.72/0.89 ; 0.002 0% Ordering (212 calls)
% 0.72/0.89 ; 0.000 0% Sortal reasoning (32 calls)
% 0.72/0.89 ; 0.004 1% Purity testing (1 call)
% 0.72/0.89 ; 0.027 6% Other
% 0.72/0.89 ; 0.421 Total
% 0.72/0.89 ; 0.423 Real time
% 0.72/0.89 ;
% 0.72/0.89 ; Term-hash-array has 1,096 terms in all.
% 0.72/0.89 ; Feature-vector-row-index has 460 entries (460 at peak, 485 added, 25 deleted).
% 0.72/0.89 ; Feature-vector-row-index has 1,605 nodes (1,605 at peak, 1,777 added, 172 deleted).
% 0.72/0.89 ; Retrieved 562 possibly forward subsuming rows in 579 calls.
% 0.72/0.89 ; Retrieved 343 possibly backward subsumed rows in 485 calls.
% 0.72/0.89 ; Path-index has 1,016 entries (1,018 at peak, 1,123 added, 107 deleted).
% 0.72/0.89 ; Path-index has 2,858 nodes (2,859 at peak, 3,010 added, 152 deleted).
% 0.72/0.89 ; Trie-index has 1,016 entries (1,018 at peak, 1,123 added, 107 deleted).
% 0.72/0.89 ; Trie-index has 3,472 nodes (3,476 at peak, 3,932 added, 460 deleted).
% 0.72/0.89 ; Retrieved 478 generalization terms in 2,390 calls.
% 0.72/0.89 ; Retrieved 409 instance terms in 174 calls.
% 0.72/0.89 ; Retrieved 3,715 unifiable terms in 341 calls.
% 0.72/0.89 ;
% 0.72/0.89 ; The agenda of input rows to give has 511 entries:
% 0.72/0.89 ; 16 with value 10 37 with value 21 1 with value 31
% 0.72/0.89 ; 24 with value 11 23 with value 22 4 with value 32
% 0.72/0.89 ; 25 with value 12 14 with value 23 1 with value 33
% 0.72/0.89 ; 39 with value 13 30 with value 24 3 with value 34
% 0.72/0.89 ; 34 with value 14 16 with value 25 1 with value 35
% 0.72/0.89 ; 17 with value 15 5 with value 26 1 with value 36
% 0.72/0.89 ; 20 with value 16 47 with value 27 7 with value 39
% 0.72/0.89 ; 48 with value 17 4 with value 28 1 with value 42
% 0.72/0.89 ; 42 with value 18 2 with value 29 4 with value 43
% 0.72/0.89 ; 16 with value 19 1 with value 30 8 with value 44
% 0.72/0.89 ; 20 with value 20
% 0.72/0.89 ; The agenda of rows to give has 11 entries:
% 0.72/0.89 ; 3 with value (4 6) 2 with value (4 8) 1 with value (4 10)
% 0.72/0.89 ; 2 with value (4 7) 2 with value (4 9) 1 with value (4 11)
% 0.72/0.89 Evaluation took:
% 0.72/0.89 0.424 seconds of real time
% 0.72/0.89 0.406054 seconds of user run time
% 0.72/0.89 0.015864 seconds of system run time
% 0.72/0.89 [Run times include 0.005 seconds GC run time.]
% 0.72/0.89 0 calls to %EVAL
% 0.72/0.89 0 page faults and
% 0.72/0.89 24,174,632 bytes consed.
% 0.72/0.89 :PROOF-FOUND
% 0.72/0.89 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T21:38:39
% 0.72/0.89 :PROOF-FOUND
% 0.72/0.89 *
%------------------------------------------------------------------------------