TSTP Solution File: LCL755-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL755-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:25:47 EDT 2022
% Result : Unsatisfiable 0.52s 0.74s
% Output : Refutation 0.52s
% 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Lambda_0,axiom,
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X))
| ~ c_InductTermi_OIT(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lambda_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(558,plain,
c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X),Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Lambda_0,cls_conjecture_1]) ).
cnf(559,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL755-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 18:29:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T18:29:59
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T18:29:59
% 0.47/0.64
% 0.47/0.64 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.74 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.52/0.74
% 0.52/0.74 #||
% 0.52/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.74 % SZS output start Refutation
% See solution above
% 0.52/0.74 ||#
% 0.52/0.74
% 0.52/0.74 ; Summary of computation:
% 0.52/0.74 ; 835 formulas have been input or derived (from 63 formulas).
% 0.52/0.74 ; 559 (67%) were retained. Of these,
% 0.52/0.74 ; 61 (11%) were simplified or subsumed later,
% 0.52/0.74 ; 498 (89%) are still being kept.
% 0.52/0.74 ;
% 0.52/0.74 ; Run time in seconds:
% 0.52/0.74 ; 0.138 51% Read assertion file (1 call)
% 0.52/0.74 ; 0.014 5% Assert (755 calls)
% 0.52/0.74 ; 0.035 13% Process new row (781 calls)
% 0.52/0.74 ; 0.002 1% Resolution (124 calls)
% 0.52/0.74 ; 0.001 0% Paramodulation (62 calls)
% 0.52/0.74 ; 0.013 5% Condensing (489 calls)
% 0.52/0.74 ; 0.013 5% Forward subsumption (489 calls)
% 0.52/0.74 ; 0.014 5% Backward subsumption (406 calls)
% 0.52/0.74 ; 0.000 0% Clause clause subsumption (768 calls)
% 0.52/0.74 ; 0.011 4% Forward simplification (660 calls)
% 0.52/0.74 ; 0.004 1% Backward simplification (529 calls)
% 0.52/0.74 ; 0.000 0% Ordering (161 calls)
% 0.52/0.74 ; 0.000 0% Sortal reasoning (32 calls)
% 0.52/0.74 ; 0.002 1% Purity testing (1 call)
% 0.52/0.74 ; 0.021 8% Other
% 0.52/0.74 ; 0.268 Total
% 0.52/0.74 ; 0.269 Real time
% 0.52/0.74 ;
% 0.52/0.74 ; Term-hash-array has 925 terms in all.
% 0.52/0.74 ; Feature-vector-row-index has 381 entries (381 at peak, 406 added, 25 deleted).
% 0.52/0.74 ; Feature-vector-row-index has 1,283 nodes (1,283 at peak, 1,480 added, 197 deleted).
% 0.52/0.74 ; Retrieved 553 possibly forward subsuming rows in 489 calls.
% 0.52/0.74 ; Retrieved 304 possibly backward subsumed rows in 406 calls.
% 0.52/0.74 ; Path-index has 854 entries (862 at peak, 948 added, 94 deleted).
% 0.52/0.74 ; Path-index has 2,298 nodes (2,309 at peak, 2,415 added, 117 deleted).
% 0.52/0.74 ; Trie-index has 854 entries (862 at peak, 948 added, 94 deleted).
% 0.52/0.74 ; Trie-index has 2,929 nodes (2,946 at peak, 3,337 added, 408 deleted).
% 0.52/0.74 ; Retrieved 586 generalization terms in 2,193 calls.
% 0.52/0.74 ; Retrieved 316 instance terms in 138 calls.
% 0.52/0.74 ; Retrieved 3,274 unifiable terms in 276 calls.
% 0.52/0.74 ;
% 0.52/0.74 ; The agenda of rows to process has 1 entry:
% 0.52/0.74 ; 1 with value 13
% 0.52/0.74 ; The agenda of input rows to give has 430 entries:
% 0.52/0.74 ; 10 with value 10 17 with value 20 1 with value 29
% 0.52/0.74 ; 24 with value 11 34 with value 21 1 with value 31
% 0.52/0.74 ; 19 with value 12 21 with value 22 4 with value 32
% 0.52/0.74 ; 37 with value 13 11 with value 23 1 with value 35
% 0.52/0.74 ; 30 with value 14 26 with value 24 1 with value 36
% 0.52/0.74 ; 15 with value 15 13 with value 25 6 with value 39
% 0.52/0.74 ; 18 with value 16 3 with value 26 1 with value 42
% 0.52/0.74 ; 41 with value 17 38 with value 27 4 with value 43
% 0.52/0.74 ; 34 with value 18 4 with value 28 8 with value 44
% 0.52/0.74 ; 8 with value 19
% 0.52/0.74 ; The agenda of rows to give has 5 entries:
% 0.52/0.74 ; 1 with value (4 6) 1 with value (4 8) 1 with value (4 12)
% 0.52/0.74 ; 1 with value (4 7) 1 with value (4 9)
% 0.52/0.74 Evaluation took:
% 0.58/0.74 0.27 seconds of real time
% 0.58/0.74 0.252034 seconds of user run time
% 0.58/0.74 0.017202 seconds of system run time
% 0.58/0.74 [Run times include 0.009 seconds GC run time.]
% 0.58/0.74 0 calls to %EVAL
% 0.58/0.74 0 page faults and
% 0.58/0.74 16,616,480 bytes consed.
% 0.58/0.74 :PROOF-FOUND
% 0.58/0.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T18:30:00
% 0.58/0.74 :PROOF-FOUND
% 0.58/0.74 *
%------------------------------------------------------------------------------