TSTP Solution File: COL124-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL124-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 00:41:57 EDT 2022
% Result : Unsatisfiable 0.87s 1.13s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Comb_OI__contract__E_0,axiom,
~ c_in(c_Pair(c_Comb_OI,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-0.ax',cls_Comb_OI__contract__E_0) ).
cnf(cls_Comb_Ocontract_OK_0,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X),Y),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-0.ax',cls_Comb_Ocontract_OK_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_in(c_Pair(X,v_x(Y,X,Z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(Y,Z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(Y,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(2624,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_0,cls_Comb_OI__contract__E_0,cls_Comb_Ocontract_OK_0,cls_Comb_Ocontract_OK_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL124-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 05:03:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T05:03:56
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-31T05:03:56
% 0.47/0.65
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.87/1.13 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.87/1.13
% 0.87/1.13 #||
% 0.87/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.13 % SZS output start Refutation
% See solution above
% 0.96/1.13 ||#
% 0.96/1.13
% 0.96/1.13 ; Summary of computation:
% 0.96/1.13 ; 5922 formulas have been input or derived (from 556 formulas).
% 0.96/1.13 ; 2624 (44%) were retained. Of these,
% 0.96/1.13 ; 27 ( 1%) were simplified or subsumed later,
% 0.96/1.13 ; 2597 (99%) are still being kept.
% 0.96/1.13 ;
% 0.96/1.13 ; Run time in seconds:
% 0.96/1.13 ; 0.150 23% Read assertion file (1 call)
% 0.96/1.13 ; 0.021 3% Assert (1,389 calls)
% 0.96/1.13 ; 0.168 26% Process new row (5,139 calls)
% 0.96/1.13 ; 0.135 21% Resolution (1,110 calls)
% 0.96/1.13 ; 0.007 1% Paramodulation (555 calls)
% 0.96/1.13 ; 0.000 0% Factoring (8 calls)
% 0.96/1.13 ; 0.011 2% Condensing (826 calls)
% 0.96/1.13 ; 0.017 3% Forward subsumption (826 calls)
% 0.96/1.13 ; 0.017 3% Backward subsumption (794 calls)
% 0.96/1.13 ; 0.000 0% Clause clause subsumption (335 calls)
% 0.96/1.13 ; 0.036 6% Forward simplification (4,373 calls)
% 0.96/1.13 ; 0.028 4% Backward simplification (2,623 calls)
% 0.96/1.13 ; 0.004 1% Ordering (925 calls)
% 0.96/1.13 ; 0.000 0% Sortal reasoning (32 calls)
% 0.96/1.13 ; 0.007 1% Purity testing (1 call)
% 0.96/1.13 ; 0.039 6% Other
% 0.96/1.13 ; 0.640 Total
% 0.96/1.13 ; 0.641 Real time
% 0.96/1.13 ;
% 0.96/1.13 ; Term-hash-array has 5,889 terms in all.
% 0.96/1.13 ; Feature-vector-row-index has 789 entries (789 at peak, 794 added, 5 deleted).
% 0.96/1.13 ; Feature-vector-row-index has 3,420 nodes (3,420 at peak, 3,451 added, 31 deleted).
% 0.96/1.13 ; Retrieved 721 possibly forward subsuming rows in 826 calls.
% 0.96/1.13 ; Retrieved 476 possibly backward subsumed rows in 794 calls.
% 0.96/1.13 ; Path-index has 5,866 entries (5,866 at peak, 5,916 added, 50 deleted).
% 0.96/1.13 ; Path-index has 21,339 nodes (21,339 at peak, 21,371 added, 32 deleted).
% 0.96/1.13 ; Trie-index has 5,866 entries (5,866 at peak, 5,916 added, 50 deleted).
% 0.96/1.13 ; Trie-index has 36,295 nodes (36,295 at peak, 36,510 added, 215 deleted).
% 0.96/1.13 ; Retrieved 2,161 generalization terms in 6,592 calls.
% 0.96/1.13 ; Retrieved 1,973 instance terms in 1,830 calls.
% 0.96/1.13 ; Retrieved 130,805 unifiable terms in 4,725 calls.
% 0.96/1.13 ;
% 0.96/1.13 ; The agenda of rows to process has 20 entries:
% 0.96/1.13 ; 3 with value 13 3 with value 22 1 with value 44
% 0.96/1.13 ; 6 with value 19 1 with value 23 1 with value 46
% 0.96/1.13 ; 3 with value 21 1 with value 36 1 with value 56
% 0.96/1.13 ; The agenda of input rows to give has 27 entries:
% 0.96/1.13 ; 1 with value 40 2 with value 62 1 with value 73
% 0.96/1.13 ; 5 with value 41 1 with value 63 1 with value 82
% 0.96/1.13 ; 1 with value 42 1 with value 65 2 with value 85
% 0.96/1.13 ; 2 with value 46 2 with value 66 1 with value 88
% 0.96/1.13 ; 2 with value 56 2 with value 68 1 with value 90
% 0.96/1.13 ; 1 with value 61 1 with value 71
% 0.96/1.13 ; The agenda of rows to give has 2014 entries:
% 0.96/1.13 ; 7 with value (4 6) 32 with value (4 28) 7 with value (4 49)
% 0.96/1.13 ; 12 with value (4 7) 35 with value (4 29) 2 with value (4 50)
% 0.96/1.13 ; 16 with value (4 8) 33 with value (4 30) 2 with value (4 51)
% 0.96/1.13 ; 30 with value (4 9) 28 with value (4 31) 3 with value (4 52)
% 0.96/1.13 ; 92 with value (4 10) 39 with value (4 32) 3 with value (4 53)
% 0.96/1.13 ; 33 with value (4 11) 26 with value (4 33) 3 with value (4 54)
% 0.96/1.13 ; 103 with value (4 12) 22 with value (4 34) 2 with value (4 55)
% 0.96/1.13 ; 100 with value (4 13) 20 with value (4 35) 6 with value (4 56)
% 0.96/1.13 ; 83 with value (4 14) 8 with value (4 36) 1 with value (4 57)
% 0.96/1.13 ; 155 with value (4 15) 20 with value (4 37) 1 with value (4 58)
% 0.96/1.13 ; 123 with value (4 16) 17 with value (4 38) 5 with value (4 60)
% 0.96/1.13 ; 143 with value (4 17) 13 with value (4 39) 3 with value (4 61)
% 0.96/1.13 ; 154 with value (4 18) 16 with value (4 40) 3 with value (4 64)
% 0.96/1.13 ; 101 with value (4 19) 3 with value (4 41) 2 with value (4 65)
% 0.96/1.13 ; 90 with value (4 20) 10 with value (4 42) 2 with value (4 66)
% 0.96/1.13 ; 65 with value (4 21) 11 with value (4 43) 3 with value (4 67)
% 0.96/1.13 ; 73 with value (4 22) 7 with value (4 44) 2 with value (4 68)
% 0.96/1.13 ; 54 with value (4 23) 7 with value (4 45) 2 with value (4 69)
% 0.96/1.13 ; 49 with value (4 24) 4 with value (4 46) 2 with value (4 73)
% 0.96/1.13 ; 34 with value (4 25) 4 with value (4 47) 1 with value (4 77)
% 0.96/1.13 ; 37 with value (4 26) 8 with value (4 48) 1 with value (4 84)
% 0.96/1.13 ; 41 with value (4 27)
% 0.96/1.13 Evaluation took:
% 0.96/1.13 0.642 seconds of real time
% 0.96/1.13 0.601915 seconds of user run time
% 0.96/1.13 0.040028 seconds of system run time
% 0.96/1.13 [Run times include 0.05 seconds GC run time.]
% 0.96/1.13 0 calls to %EVAL
% 0.96/1.13 0 page faults and
% 0.96/1.13 48,224,704 bytes consed.
% 0.96/1.13 :PROOF-FOUND
% 0.96/1.13 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T05:03:56
% 0.96/1.13 :PROOF-FOUND
% 0.96/1.13 *
%------------------------------------------------------------------------------