TSTP Solution File: COL118-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL118-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 00:41:55 EDT 2022
% Result : Unsatisfiable 0.92s 1.16s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 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 : 6 ( 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/sandbox2/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__1_0) ).
cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,
( ~ c_in(c_Pair(X,Y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(Z,U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(Z,X),c_Comb_Ocomb_Oop_A_D_D(U,Y),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__4_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_x,v_ya,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_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_z,v_w,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(v_x,v_z),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),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(2740,plain,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,cls_Comb_Oparcontract_Ointros__1_0]) ).
cnf(2837,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0,cls_conjecture_1,cls_conjecture_0]),2740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL118-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 04:43:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T04:43:59
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-31T04:43:59
% 0.46/0.64
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.92/1.16 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.92/1.16
% 0.92/1.16 #||
% 0.92/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.16 % SZS output start Refutation
% See solution above
% 0.92/1.16 ||#
% 0.92/1.16
% 0.92/1.16 ; Summary of computation:
% 0.92/1.16 ; 6333 formulas have been input or derived (from 574 formulas).
% 0.92/1.16 ; 2837 (45%) were retained. Of these,
% 0.92/1.16 ; 31 ( 1%) were simplified or subsumed later,
% 0.92/1.16 ; 2806 (99%) are still being kept.
% 0.92/1.16 ;
% 0.92/1.16 ; Run time in seconds:
% 0.92/1.16 ; 0.162 23% Read assertion file (1 call)
% 0.92/1.16 ; 0.016 2% Assert (1,410 calls)
% 0.92/1.16 ; 0.206 30% Process new row (5,541 calls)
% 0.92/1.16 ; 0.107 15% Resolution (1,146 calls)
% 0.92/1.16 ; 0.009 1% Paramodulation (573 calls)
% 0.92/1.16 ; 0.000 0% Factoring (8 calls)
% 0.92/1.16 ; 0.028 4% Condensing (874 calls)
% 0.92/1.16 ; 0.024 3% Forward subsumption (874 calls)
% 0.92/1.16 ; 0.022 3% Backward subsumption (842 calls)
% 0.92/1.16 ; 0.002 0% Clause clause subsumption (386 calls)
% 0.92/1.16 ; 0.048 7% Forward simplification (4,775 calls)
% 0.92/1.16 ; 0.019 3% Backward simplification (2,836 calls)
% 0.92/1.16 ; 0.001 0% Ordering (995 calls)
% 0.92/1.16 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.16 ; 0.008 1% Purity testing (1 call)
% 0.92/1.16 ; 0.040 6% Other
% 0.92/1.16 ; 0.692 Total
% 0.92/1.16 ; 0.694 Real time
% 0.92/1.16 ;
% 0.92/1.16 ; Term-hash-array has 6,343 terms in all.
% 0.92/1.16 ; Feature-vector-row-index has 837 entries (837 at peak, 842 added, 5 deleted).
% 0.92/1.16 ; Feature-vector-row-index has 3,997 nodes (3,997 at peak, 4,028 added, 31 deleted).
% 0.92/1.16 ; Retrieved 794 possibly forward subsuming rows in 874 calls.
% 0.92/1.16 ; Retrieved 475 possibly backward subsumed rows in 842 calls.
% 0.92/1.16 ; Path-index has 6,315 entries (6,315 at peak, 6,375 added, 60 deleted).
% 0.92/1.16 ; Path-index has 21,347 nodes (21,347 at peak, 21,379 added, 32 deleted).
% 0.92/1.16 ; Trie-index has 6,315 entries (6,315 at peak, 6,375 added, 60 deleted).
% 0.92/1.16 ; Trie-index has 38,954 nodes (38,954 at peak, 39,208 added, 254 deleted).
% 0.92/1.16 ; Retrieved 2,482 generalization terms in 7,699 calls.
% 0.92/1.16 ; Retrieved 2,163 instance terms in 1,995 calls.
% 0.92/1.16 ; Retrieved 145,011 unifiable terms in 5,155 calls.
% 0.92/1.16 ;
% 0.92/1.16 ; The agenda of rows to process has 40 entries:
% 0.92/1.16 ; 10 with value 18 1 with value 28 4 with value 37
% 0.92/1.16 ; 12 with value 24 12 with value 33 1 with value 45
% 0.92/1.16 ; The agenda of input rows to give has 32 entries:
% 0.92/1.16 ; 5 with value 41 5 with value 62 1 with value 71
% 0.92/1.16 ; 1 with value 42 1 with value 63 1 with value 73
% 0.92/1.16 ; 2 with value 46 2 with value 64 1 with value 82
% 0.92/1.16 ; 2 with value 56 1 with value 65 2 with value 85
% 0.92/1.16 ; 1 with value 60 2 with value 66 1 with value 88
% 0.92/1.16 ; 1 with value 61 2 with value 68 1 with value 90
% 0.92/1.16 ; The agenda of rows to give has 2200 entries:
% 0.92/1.16 ; 7 with value (4 6) 41 with value (4 26) 1 with value (4 46)
% 0.92/1.16 ; 12 with value (4 7) 55 with value (4 27) 3 with value (4 47)
% 0.92/1.16 ; 16 with value (4 8) 32 with value (4 28) 11 with value (4 48)
% 0.92/1.16 ; 30 with value (4 9) 41 with value (4 29) 8 with value (4 49)
% 0.92/1.16 ; 94 with value (4 10) 38 with value (4 30) 2 with value (4 50)
% 0.92/1.16 ; 36 with value (4 11) 33 with value (4 31) 3 with value (4 51)
% 0.92/1.16 ; 103 with value (4 12) 41 with value (4 32) 2 with value (4 52)
% 0.92/1.16 ; 102 with value (4 13) 49 with value (4 33) 2 with value (4 53)
% 0.92/1.16 ; 84 with value (4 14) 25 with value (4 34) 4 with value (4 54)
% 0.92/1.16 ; 169 with value (4 15) 19 with value (4 35) 2 with value (4 55)
% 0.92/1.16 ; 134 with value (4 16) 10 with value (4 36) 8 with value (4 56)
% 0.92/1.16 ; 146 with value (4 17) 14 with value (4 37) 1 with value (4 57)
% 0.92/1.16 ; 162 with value (4 18) 22 with value (4 38) 8 with value (4 60)
% 0.92/1.16 ; 125 with value (4 19) 19 with value (4 39) 5 with value (4 61)
% 0.92/1.16 ; 93 with value (4 20) 16 with value (4 40) 4 with value (4 65)
% 0.92/1.16 ; 82 with value (4 21) 4 with value (4 41) 2 with value (4 66)
% 0.92/1.16 ; 77 with value (4 22) 12 with value (4 42) 3 with value (4 67)
% 0.92/1.16 ; 57 with value (4 23) 14 with value (4 43) 1 with value (4 77)
% 0.92/1.16 ; 61 with value (4 24) 7 with value (4 44) 1 with value (4 84)
% 0.92/1.16 ; 36 with value (4 25) 11 with value (4 45)
% 0.92/1.16 Evaluation took:
% 0.92/1.16 0.694 seconds of real time
% 0.92/1.16 0.644208 seconds of user run time
% 0.92/1.16 0.049853 seconds of system run time
% 0.92/1.16 [Run times include 0.054 seconds GC run time.]
% 0.92/1.16 0 calls to %EVAL
% 0.92/1.16 0 page faults and
% 0.92/1.16 52,613,328 bytes consed.
% 0.92/1.16 :PROOF-FOUND
% 0.92/1.16 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T04:44:00
% 0.92/1.16 :PROOF-FOUND
% 0.92/1.16 *
%------------------------------------------------------------------------------