TSTP Solution File: COL114-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL114-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 00:41:54 EDT 2022
% Result : Unsatisfiable 0.91s 1.10s
% Output : Refutation 0.91s
% 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 : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Comb_Oparcontract_Ointros__2_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_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__2_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(2730,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,cls_Comb_Oparcontract_Ointros__2_0,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL114-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 09:42:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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 *
% 0.19/0.46 ((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)
% 0.19/0.47 (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/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:42:17
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-31T09:42:17
% 0.46/0.64
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.10 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.91/1.10
% 0.91/1.10 #||
% 0.91/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.10 % SZS output start Refutation
% See solution above
% 0.91/1.10 ||#
% 0.91/1.10
% 0.91/1.10 ; Summary of computation:
% 0.91/1.10 ; 6146 formulas have been input or derived (from 549 formulas).
% 0.91/1.10 ; 2730 (44%) were retained. Of these,
% 0.91/1.10 ; 30 ( 1%) were simplified or subsumed later,
% 0.91/1.10 ; 2700 (99%) are still being kept.
% 0.91/1.10 ;
% 0.91/1.10 ; Run time in seconds:
% 0.91/1.10 ; 0.159 25% Read assertion file (1 call)
% 0.91/1.10 ; 0.017 3% Assert (1,406 calls)
% 0.91/1.10 ; 0.199 31% Process new row (5,398 calls)
% 0.91/1.10 ; 0.094 15% Resolution (1,096 calls)
% 0.91/1.10 ; 0.004 1% Paramodulation (548 calls)
% 0.91/1.10 ; 0.000 0% Factoring (8 calls)
% 0.91/1.10 ; 0.014 2% Condensing (827 calls)
% 0.91/1.10 ; 0.010 2% Forward subsumption (827 calls)
% 0.91/1.10 ; 0.020 3% Backward subsumption (795 calls)
% 0.91/1.10 ; 0.008 1% Clause clause subsumption (331 calls)
% 0.91/1.10 ; 0.037 6% Forward simplification (4,632 calls)
% 0.91/1.10 ; 0.022 3% Backward simplification (2,729 calls)
% 0.91/1.10 ; 0.001 0% Ordering (933 calls)
% 0.91/1.10 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.10 ; 0.007 1% Purity testing (1 call)
% 0.91/1.10 ; 0.046 7% Other
% 0.91/1.10 ; 0.638 Total
% 0.91/1.10 ; 0.638 Real time
% 0.91/1.10 ;
% 0.91/1.10 ; Term-hash-array has 6,033 terms in all.
% 0.91/1.10 ; Feature-vector-row-index has 790 entries (790 at peak, 795 added, 5 deleted).
% 0.91/1.10 ; Feature-vector-row-index has 3,629 nodes (3,629 at peak, 3,660 added, 31 deleted).
% 0.91/1.10 ; Retrieved 739 possibly forward subsuming rows in 827 calls.
% 0.91/1.10 ; Retrieved 454 possibly backward subsumed rows in 795 calls.
% 0.91/1.10 ; Path-index has 6,007 entries (6,007 at peak, 6,065 added, 58 deleted).
% 0.91/1.10 ; Path-index has 20,522 nodes (20,522 at peak, 20,554 added, 32 deleted).
% 0.91/1.10 ; Trie-index has 6,007 entries (6,007 at peak, 6,065 added, 58 deleted).
% 0.91/1.10 ; Trie-index has 36,521 nodes (36,521 at peak, 36,769 added, 248 deleted).
% 0.91/1.10 ; Retrieved 2,412 generalization terms in 7,368 calls.
% 0.91/1.10 ; Retrieved 2,100 instance terms in 1,935 calls.
% 0.91/1.10 ; Retrieved 133,261 unifiable terms in 4,883 calls.
% 0.91/1.10 ;
% 0.91/1.10 ; The agenda of rows to process has 4 entries:
% 0.91/1.10 ; 1 with value 13 3 with value 19
% 0.91/1.10 ; The agenda of input rows to give has 53 entries:
% 0.91/1.10 ; 2 with value 32 2 with value 46 2 with value 66
% 0.91/1.10 ; 4 with value 33 2 with value 56 2 with value 68
% 0.91/1.10 ; 3 with value 34 1 with value 60 1 with value 71
% 0.91/1.10 ; 4 with value 35 1 with value 61 1 with value 73
% 0.91/1.10 ; 4 with value 38 5 with value 62 1 with value 82
% 0.91/1.10 ; 3 with value 40 1 with value 63 2 with value 85
% 0.91/1.10 ; 6 with value 41 2 with value 64 1 with value 88
% 0.91/1.10 ; 1 with value 42 1 with value 65 1 with value 90
% 0.91/1.10 ; The agenda of rows to give has 2098 entries:
% 0.91/1.10 ; 7 with value (4 6) 57 with value (4 24) 4 with value (4 41)
% 0.91/1.10 ; 12 with value (4 7) 36 with value (4 25) 7 with value (4 42)
% 0.91/1.10 ; 16 with value (4 8) 41 with value (4 26) 14 with value (4 43)
% 0.91/1.10 ; 30 with value (4 9) 51 with value (4 27) 5 with value (4 44)
% 0.91/1.10 ; 94 with value (4 10) 31 with value (4 28) 9 with value (4 45)
% 0.91/1.10 ; 36 with value (4 11) 41 with value (4 29) 1 with value (4 46)
% 0.91/1.10 ; 102 with value (4 12) 36 with value (4 30) 3 with value (4 47)
% 0.91/1.10 ; 101 with value (4 13) 31 with value (4 31) 9 with value (4 48)
% 0.91/1.10 ; 82 with value (4 14) 34 with value (4 32) 4 with value (4 49)
% 0.91/1.10 ; 163 with value (4 15) 48 with value (4 33) 3 with value (4 51)
% 0.91/1.10 ; 133 with value (4 16) 25 with value (4 34) 2 with value (4 52)
% 0.91/1.10 ; 146 with value (4 17) 19 with value (4 35) 3 with value (4 54)
% 0.91/1.10 ; 151 with value (4 18) 8 with value (4 36) 5 with value (4 56)
% 0.91/1.10 ; 119 with value (4 19) 14 with value (4 37) 1 with value (4 57)
% 0.91/1.10 ; 93 with value (4 20) 12 with value (4 38) 6 with value (4 60)
% 0.91/1.10 ; 82 with value (4 21) 19 with value (4 39) 5 with value (4 61)
% 0.91/1.10 ; 77 with value (4 22) 16 with value (4 40) 4 with value (4 65)
% 0.91/1.10 ; 50 with value (4 23)
% 0.91/1.10 Evaluation took:
% 0.91/1.10 0.638 seconds of real time
% 0.91/1.10 0.595336 seconds of user run time
% 0.91/1.10 0.042864 seconds of system run time
% 0.91/1.10 [Run times include 0.036 seconds GC run time.]
% 0.91/1.10 0 calls to %EVAL
% 0.91/1.10 0 page faults and
% 0.91/1.10 49,576,648 bytes consed.
% 0.91/1.10 :PROOF-FOUND
% 0.91/1.10 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:42:18
% 0.91/1.10 :PROOF-FOUND
% 0.91/1.10 *
%------------------------------------------------------------------------------