TSTP Solution File: LCL432-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL432-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:22:50 EDT 2022
% Result : Unsatisfiable 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Ocompleteness__0_0,axiom,
( ~ c_PropLog_Osat(c_emptyset,X,Y)
| c_in(X,c_PropLog_Othms(c_emptyset,Y),tc_PropLog_Opl(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(849,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Ocompleteness__0_0,cls_conjecture_0,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL432-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.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 : Sun Jul 3 16:48:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T16:48:22
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-03T16:48:22
% 0.37/0.61
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63 WARNING:
% 0.47/0.63 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; 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 positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.75 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.53/0.75
% 0.53/0.75 #||
% 0.53/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75 % SZS output start Refutation
% See solution above
% 0.53/0.75 ||#
% 0.53/0.75
% 0.53/0.75 ; Summary of computation:
% 0.53/0.75 ; 2604 formulas have been input or derived (from 393 formulas).
% 0.53/0.75 ; 849 (33%) were retained. Of these,
% 0.53/0.75 ; 7 ( 1%) were simplified or subsumed later,
% 0.53/0.75 ; 842 (99%) are still being kept.
% 0.53/0.75 ;
% 0.53/0.75 ; Run time in seconds:
% 0.53/0.75 ; 0.141 48% Read assertion file (1 call)
% 0.53/0.75 ; 0.018 6% Assert (1,375 calls)
% 0.53/0.75 ; 0.039 13% Process new row (2,325 calls)
% 0.53/0.75 ; 0.018 6% Resolution (784 calls)
% 0.53/0.75 ; 0.002 1% Paramodulation (392 calls)
% 0.53/0.75 ; 0.000 0% Factoring (4 calls)
% 0.53/0.75 ; 0.005 2% Condensing (471 calls)
% 0.53/0.75 ; 0.005 2% Forward subsumption (471 calls)
% 0.53/0.75 ; 0.011 4% Backward subsumption (456 calls)
% 0.53/0.75 ; 0.000 0% Clause clause subsumption (92 calls)
% 0.53/0.75 ; 0.008 3% Forward simplification (1,559 calls)
% 0.53/0.75 ; 0.005 2% Backward simplification (848 calls)
% 0.53/0.75 ; 0.000 0% Ordering (148 calls)
% 0.53/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.53/0.75 ; 0.007 2% Purity testing (1 call)
% 0.53/0.75 ; 0.033 11% Other
% 0.53/0.75 ; 0.292 Total
% 0.53/0.75 ; 0.293 Real time
% 0.53/0.75 ;
% 0.53/0.75 ; Term-hash-array has 1,410 terms in all.
% 0.53/0.75 ; Feature-vector-row-index has 456 entries (456 at peak, 456 added, 0 deleted).
% 0.53/0.75 ; Feature-vector-row-index has 1,108 nodes (1,108 at peak, 1,108 added, 0 deleted).
% 0.53/0.75 ; Retrieved 439 possibly forward subsuming rows in 471 calls.
% 0.53/0.75 ; Retrieved 408 possibly backward subsumed rows in 456 calls.
% 0.53/0.75 ; Path-index has 1,423 entries (1,423 at peak, 1,430 added, 7 deleted).
% 0.53/0.75 ; Path-index has 5,531 nodes (5,531 at peak, 5,533 added, 2 deleted).
% 0.53/0.75 ; Trie-index has 1,423 entries (1,423 at peak, 1,430 added, 7 deleted).
% 0.53/0.75 ; Trie-index has 5,714 nodes (5,714 at peak, 5,729 added, 15 deleted).
% 0.53/0.75 ; Retrieved 743 generalization terms in 2,132 calls.
% 0.53/0.75 ; Retrieved 453 instance terms in 391 calls.
% 0.53/0.75 ; Retrieved 11,584 unifiable terms in 1,959 calls.
% 0.53/0.75 ;
% 0.53/0.75 ; The agenda of rows to process has 2 entries:
% 0.53/0.75 ; 1 with value 6 1 with value 10
% 0.53/0.75 ; The agenda of input rows to give has 178 entries:
% 0.53/0.75 ; 18 with value 15 10 with value 27 5 with value 41
% 0.53/0.75 ; 21 with value 16 3 with value 28 1 with value 42
% 0.53/0.75 ; 17 with value 17 5 with value 29 2 with value 46
% 0.53/0.75 ; 9 with value 18 2 with value 30 2 with value 56
% 0.53/0.75 ; 21 with value 19 2 with value 32 2 with value 62
% 0.53/0.75 ; 7 with value 20 2 with value 33 1 with value 65
% 0.53/0.75 ; 13 with value 21 1 with value 34 1 with value 82
% 0.53/0.75 ; 5 with value 22 3 with value 35 2 with value 85
% 0.53/0.75 ; 4 with value 23 4 with value 38 1 with value 88
% 0.53/0.75 ; 3 with value 24 3 with value 40 1 with value 90
% 0.53/0.75 ; 7 with value 26
% 0.53/0.75 ; The agenda of rows to give has 271 entries:
% 0.53/0.75 ; 7 with value (4 6) 10 with value (4 11) 42 with value (4 16)
% 0.53/0.75 ; 12 with value (4 7) 18 with value (4 12) 21 with value (4 17)
% 0.53/0.75 ; 11 with value (4 8) 31 with value (4 13) 22 with value (4 18)
% 0.53/0.75 ; 16 with value (4 9) 19 with value (4 14) 7 with value (4 19)
% 0.53/0.75 ; 30 with value (4 10) 22 with value (4 15) 3 with value (4 21)
% 0.53/0.75 Evaluation took:
% 0.53/0.75 0.293 seconds of real time
% 0.53/0.75 0.266446 seconds of user run time
% 0.53/0.75 0.026262 seconds of system run time
% 0.53/0.75 [Run times include 0.006 seconds GC run time.]
% 0.53/0.75 0 calls to %EVAL
% 0.53/0.75 0 page faults and
% 0.53/0.75 19,629,624 bytes consed.
% 0.53/0.75 :PROOF-FOUND
% 0.53/0.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T16:48:22
% 0.53/0.75 :PROOF-FOUND
% 0.53/0.75 *
%------------------------------------------------------------------------------