TSTP Solution File: COL101-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL101-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Fri Jul 15 00:41:51 EDT 2022
% Result : Unsatisfiable 0.55s 0.72s
% Output : Refutation 0.55s
% 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
c_in(c_Pair(X,X,Y,Y),c_Transitive__Closure_Ortrancl(Z,Y),tc_prod(Y,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(587,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL101-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 : Tue May 31 05:56:06 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 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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 2022-05-31T05:56:06
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-31T05:56:06
% 0.45/0.63
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.72 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.55/0.72
% 0.55/0.72 #||
% 0.55/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72 % SZS output start Refutation
% See solution above
% 0.55/0.72 ||#
% 0.55/0.72
% 0.55/0.72 ; Summary of computation:
% 0.55/0.72 ; 1387 formulas have been input or derived (from 1 formulas).
% 0.55/0.72 ; 587 (42%) were retained. Of these,
% 0.55/0.72 ; 8 ( 1%) were simplified or subsumed later,
% 0.55/0.72 ; 579 (99%) are still being kept.
% 0.55/0.72 ;
% 0.55/0.72 ; Run time in seconds:
% 0.55/0.72 ; 0.147 57% Read assertion file (1 call)
% 0.55/0.72 ; 0.018 7% Assert (1,384 calls)
% 0.55/0.72 ; 0.034 13% Process new row (1,376 calls)
% 0.55/0.72 ; 0.003 1% Condensing (462 calls)
% 0.55/0.72 ; 0.004 2% Forward subsumption (462 calls)
% 0.55/0.72 ; 0.005 2% Backward subsumption (451 calls)
% 0.55/0.72 ; 0.000 0% Clause clause subsumption (95 calls)
% 0.55/0.72 ; 0.007 3% Forward simplification (610 calls)
% 0.55/0.72 ; 0.002 1% Backward simplification (585 calls)
% 0.55/0.72 ; 0.000 0% Ordering (10 calls)
% 0.55/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.72 ; 0.007 3% Purity testing (1 call)
% 0.55/0.72 ; 0.030 12% Other
% 0.55/0.72 ; 0.257 Total
% 0.55/0.72 ; 0.258 Real time
% 0.55/0.72 ;
% 0.55/0.72 ; Term-hash-array has 838 terms in all.
% 0.55/0.72 ; Feature-vector-row-index has 451 entries (451 at peak, 451 added, 0 deleted).
% 0.55/0.72 ; Feature-vector-row-index has 1,286 nodes (1,286 at peak, 1,286 added, 0 deleted).
% 0.55/0.72 ; Retrieved 404 possibly forward subsuming rows in 462 calls.
% 0.55/0.72 ; Retrieved 401 possibly backward subsumed rows in 451 calls.
% 0.55/0.72 ; Path-index has 855 entries (855 at peak, 862 added, 7 deleted).
% 0.55/0.72 ; Path-index has 3,677 nodes (3,677 at peak, 3,679 added, 2 deleted).
% 0.55/0.72 ; Trie-index has 855 entries (855 at peak, 862 added, 7 deleted).
% 0.55/0.72 ; Trie-index has 3,421 nodes (3,421 at peak, 3,436 added, 15 deleted).
% 0.55/0.72 ; Retrieved 29 generalization terms in 1,081 calls.
% 0.55/0.72 ; Retrieved 177 instance terms in 133 calls.
% 0.55/0.72 ;
% 0.55/0.72 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.55/0.72 ; 1 with value 0
% 0.55/0.72 ; The agenda of input rows to give has 578 entries:
% 0.55/0.72 ; 47 with value 3 6 with value 20 5 with value 41
% 0.55/0.72 ; 7 with value 4 13 with value 21 2 with value 42
% 0.55/0.72 ; 11 with value 5 5 with value 22 2 with value 46
% 0.55/0.72 ; 215 with value 6 4 with value 23 2 with value 56
% 0.55/0.72 ; 13 with value 7 2 with value 24 1 with value 61
% 0.55/0.72 ; 10 with value 8 1 with value 25 2 with value 62
% 0.55/0.72 ; 17 with value 9 7 with value 26 1 with value 63
% 0.55/0.72 ; 8 with value 10 10 with value 27 1 with value 65
% 0.55/0.72 ; 10 with value 11 2 with value 28 2 with value 66
% 0.55/0.72 ; 25 with value 12 7 with value 29 2 with value 68
% 0.55/0.72 ; 17 with value 13 2 with value 30 1 with value 71
% 0.55/0.72 ; 13 with value 14 2 with value 32 1 with value 73
% 0.55/0.72 ; 16 with value 15 2 with value 33 1 with value 82
% 0.55/0.72 ; 20 with value 16 1 with value 34 2 with value 85
% 0.55/0.72 ; 17 with value 17 3 with value 35 1 with value 88
% 0.55/0.72 ; 10 with value 18 4 with value 38 1 with value 90
% 0.55/0.72 ; 21 with value 19 3 with value 40
% 0.55/0.72 Evaluation took:
% 0.55/0.72 0.258 seconds of real time
% 0.55/0.72 0.24427 seconds of user run time
% 0.55/0.72 0.01398 seconds of system run time
% 0.55/0.72 [Run times include 0.006 seconds GC run time.]
% 0.55/0.72 0 calls to %EVAL
% 0.55/0.72 0 page faults and
% 0.55/0.72 16,972,128 bytes consed.
% 0.55/0.72 :PROOF-FOUND
% 0.55/0.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T05:56:06
% 0.55/0.72 :PROOF-FOUND
% 0.55/0.72 *
%------------------------------------------------------------------------------