TSTP Solution File: COL105-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL105-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 00:41:52 EDT 2022
% Result : Unsatisfiable 0.91s 1.14s
% 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 : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Comb_Oparcontract_Ointros__1_0,axiom,
c_in(c_Pair(X,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_x,v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Pair(v_xb,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(2343,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,cls_Comb_Oparcontract_Ointros__1_0,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL105-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 14:49:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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 2022-05-31T14:49:37
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-31T14:49:37
% 0.45/0.69
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 WARNING:
% 0.54/0.72 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.73 WARNING:
% 0.54/0.73 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.14 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.91/1.14
% 0.91/1.14 #||
% 0.91/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.14 % SZS output start Refutation
% See solution above
% 0.91/1.14 ||#
% 0.91/1.14
% 0.91/1.14 ; Summary of computation:
% 0.91/1.14 ; 5427 formulas have been input or derived (from 514 formulas).
% 0.91/1.14 ; 2343 (43%) were retained. Of these,
% 0.91/1.14 ; 13 ( 1%) were simplified or subsumed later,
% 0.91/1.14 ; 2330 (99%) are still being kept.
% 0.91/1.14 ;
% 0.91/1.14 ; Run time in seconds:
% 0.91/1.14 ; 0.197 30% Read assertion file (1 call)
% 0.91/1.14 ; 0.026 4% Assert (1,405 calls)
% 0.91/1.14 ; 0.174 26% Process new row (4,751 calls)
% 0.91/1.14 ; 0.083 13% Resolution (1,026 calls)
% 0.91/1.14 ; 0.004 1% Paramodulation (513 calls)
% 0.91/1.14 ; 0.000 0% Factoring (8 calls)
% 0.91/1.14 ; 0.004 1% Condensing (741 calls)
% 0.91/1.14 ; 0.012 2% Forward subsumption (741 calls)
% 0.91/1.14 ; 0.039 6% Backward subsumption (709 calls)
% 0.91/1.14 ; 0.002 0% Clause clause subsumption (296 calls)
% 0.91/1.14 ; 0.041 6% Forward simplification (3,985 calls)
% 0.91/1.14 ; 0.025 4% Backward simplification (2,342 calls)
% 0.91/1.14 ; 0.001 0% Ordering (748 calls)
% 0.91/1.14 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.14 ; 0.011 2% Purity testing (1 call)
% 0.91/1.14 ; 0.044 7% Other
% 0.91/1.14 ; 0.663 Total
% 0.91/1.14 ; 0.667 Real time
% 0.91/1.14 ;
% 0.91/1.14 ; Term-hash-array has 5,026 terms in all.
% 0.91/1.14 ; Feature-vector-row-index has 705 entries (705 at peak, 709 added, 4 deleted).
% 0.91/1.14 ; Feature-vector-row-index has 2,823 nodes (2,823 at peak, 2,841 added, 18 deleted).
% 0.91/1.14 ; Retrieved 647 possibly forward subsuming rows in 741 calls.
% 0.91/1.14 ; Retrieved 446 possibly backward subsumed rows in 709 calls.
% 0.91/1.14 ; Path-index has 5,038 entries (5,038 at peak, 5,056 added, 18 deleted).
% 0.91/1.14 ; Path-index has 17,050 nodes (17,050 at peak, 17,078 added, 28 deleted).
% 0.91/1.14 ; Trie-index has 5,038 entries (5,038 at peak, 5,056 added, 18 deleted).
% 0.91/1.14 ; Trie-index has 28,277 nodes (28,277 at peak, 28,351 added, 74 deleted).
% 0.91/1.14 ; Retrieved 2,058 generalization terms in 5,652 calls.
% 0.91/1.14 ; Retrieved 1,775 instance terms in 1,634 calls.
% 0.91/1.14 ; Retrieved 98,015 unifiable terms in 4,106 calls.
% 0.91/1.14 ;
% 0.91/1.14 ; The agenda of rows to process has 3 entries:
% 0.91/1.14 ; 3 with value 13
% 0.91/1.14 ; The agenda of input rows to give has 87 entries:
% 0.91/1.14 ; 3 with value 25 4 with value 38 2 with value 64
% 0.91/1.14 ; 7 with value 26 3 with value 40 1 with value 65
% 0.91/1.14 ; 11 with value 27 6 with value 41 2 with value 66
% 0.91/1.14 ; 2 with value 28 1 with value 42 2 with value 68
% 0.91/1.14 ; 7 with value 29 2 with value 46 1 with value 71
% 0.91/1.14 ; 4 with value 30 2 with value 56 1 with value 73
% 0.91/1.14 ; 2 with value 32 1 with value 60 1 with value 82
% 0.91/1.14 ; 4 with value 33 1 with value 61 2 with value 85
% 0.91/1.14 ; 3 with value 34 5 with value 62 1 with value 88
% 0.91/1.14 ; 4 with value 35 1 with value 63 1 with value 90
% 0.91/1.14 ; The agenda of rows to give has 1729 entries:
% 0.91/1.14 ; 7 with value (4 6) 61 with value (4 22) 6 with value (4 37)
% 0.91/1.14 ; 12 with value (4 7) 43 with value (4 23) 8 with value (4 38)
% 0.91/1.14 ; 16 with value (4 8) 50 with value (4 24) 6 with value (4 39)
% 0.91/1.14 ; 30 with value (4 9) 33 with value (4 25) 6 with value (4 40)
% 0.91/1.14 ; 88 with value (4 10) 30 with value (4 26) 2 with value (4 41)
% 0.91/1.14 ; 31 with value (4 11) 39 with value (4 27) 10 with value (4 43)
% 0.91/1.14 ; 102 with value (4 12) 24 with value (4 28) 5 with value (4 44)
% 0.91/1.14 ; 100 with value (4 13) 29 with value (4 29) 3 with value (4 45)
% 0.91/1.14 ; 78 with value (4 14) 24 with value (4 30) 1 with value (4 47)
% 0.91/1.14 ; 145 with value (4 15) 21 with value (4 31) 4 with value (4 48)
% 0.91/1.14 ; 108 with value (4 16) 31 with value (4 32) 2 with value (4 49)
% 0.91/1.14 ; 133 with value (4 17) 19 with value (4 33) 1 with value (4 51)
% 0.91/1.14 ; 137 with value (4 18) 10 with value (4 34) 1 with value (4 54)
% 0.91/1.14 ; 103 with value (4 19) 15 with value (4 35) 1 with value (4 57)
% 0.91/1.14 ; 84 with value (4 20) 3 with value (4 36) 1 with value (4 61)
% 0.91/1.14 ; 66 with value (4 21)
% 0.91/1.14 Evaluation took:
% 0.91/1.14 0.668 seconds of real time
% 0.91/1.14 0.621509 seconds of user run time
% 0.91/1.14 0.043201 seconds of system run time
% 0.91/1.14 [Run times include 0.052 seconds GC run time.]
% 0.91/1.14 0 calls to %EVAL
% 0.91/1.14 0 page faults and
% 0.91/1.14 41,700,336 bytes consed.
% 0.91/1.14 :PROOF-FOUND
% 0.91/1.14 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T14:49:38
% 0.91/1.14 :PROOF-FOUND
% 0.91/1.14 *
%------------------------------------------------------------------------------