%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL120-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.58s 0.81s
% Output : Refutation 0.58s
% 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 : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 4 ( 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_1,negated_conjecture,
c_in(c_Pair(v_y,v_x,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(c_Pair(v_x,X,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(2371,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : COL120-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.08 % Command : run-snark %s %d
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Tue May 31 11:55:43 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 *
% 0.11/0.38 *
% 0.11/0.38 #<PACKAGE "SNARK-USER">
% 0.11/0.38 *
% 0.11/0.38 SNARK-TPTP-OPTIONS
% 0.11/0.38 *
% 0.11/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.38 (USE-FACTORING :POS)
% 0.11/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.38 *
% 0.11/0.38 "."
% 0.11/0.38 *
% 0.11/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T11:55:43
% 0.11/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-31T11:55:43
% 0.11/0.47
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.49 WARNING:
% 0.11/0.49 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.58/0.81 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.58/0.81
% 0.58/0.81 #||
% 0.58/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.81 % SZS output start Refutation
% See solution above
% 0.58/0.81 ||#
% 0.58/0.81
% 0.58/0.81 ; Summary of computation:
% 0.58/0.81 ; 5502 formulas have been input or derived (from 525 formulas).
% 0.58/0.81 ; 2371 (43%) were retained. Of these,
% 0.58/0.81 ; 29 ( 1%) were simplified or subsumed later,
% 0.58/0.81 ; 2342 (99%) are still being kept.
% 0.58/0.81 ;
% 0.58/0.81 ; Run time in seconds:
% 0.58/0.81 ; 0.081 19% Read assertion file (1 call)
% 0.58/0.81 ; 0.012 3% Assert (1,371 calls)
% 0.58/0.81 ; 0.133 31% Process new row (4,814 calls)
% 0.58/0.81 ; 0.068 16% Resolution (1,048 calls)
% 0.58/0.81 ; 0.005 1% Paramodulation (524 calls)
% 0.58/0.81 ; 0.000 0% Factoring (8 calls)
% 0.58/0.81 ; 0.008 2% Condensing (755 calls)
% 0.58/0.81 ; 0.017 4% Forward subsumption (755 calls)
% 0.58/0.81 ; 0.006 1% Backward subsumption (723 calls)
% 0.58/0.81 ; 0.003 1% Clause clause subsumption (284 calls)
% 0.58/0.81 ; 0.035 8% Forward simplification (4,048 calls)
% 0.58/0.81 ; 0.020 5% Backward simplification (2,370 calls)
% 0.58/0.81 ; 0.001 0% Ordering (837 calls)
% 0.58/0.81 ; 0.000 0% Sortal reasoning (32 calls)
% 0.58/0.81 ; 0.006 1% Purity testing (1 call)
% 0.58/0.81 ; 0.035 8% Other
% 0.58/0.81 ; 0.430 Total
% 0.58/0.81 ; 0.431 Real time
% 0.58/0.81 ;
% 0.58/0.81 ; Term-hash-array has 5,260 terms in all.
% 0.58/0.81 ; Feature-vector-row-index has 718 entries (718 at peak, 723 added, 5 deleted).
% 0.58/0.81 ; Feature-vector-row-index has 2,575 nodes (2,575 at peak, 2,603 added, 28 deleted).
% 0.58/0.81 ; Retrieved 819 possibly forward subsuming rows in 755 calls.
% 0.58/0.81 ; Retrieved 499 possibly backward subsumed rows in 723 calls.
% 0.58/0.81 ; Path-index has 5,237 entries (5,238 at peak, 5,288 added, 51 deleted).
% 0.58/0.81 ; Path-index has 18,676 nodes (18,676 at peak, 18,740 added, 64 deleted).
% 0.58/0.81 ; Trie-index has 5,237 entries (5,238 at peak, 5,288 added, 51 deleted).
% 0.58/0.81 ; Trie-index has 30,305 nodes (30,305 at peak, 30,543 added, 238 deleted).
% 0.58/0.81 ; Retrieved 2,046 generalization terms in 5,970 calls.
% 0.58/0.81 ; Retrieved 1,814 instance terms in 1,648 calls.
% 0.58/0.81 ; Retrieved 110,957 unifiable terms in 4,275 calls.
% 0.58/0.81 ;
% 0.58/0.81 ; The agenda of rows to process has 3 entries:
% 0.58/0.81 ; 3 with value 15
% 0.58/0.81 ; The agenda of input rows to give has 42 entries:
% 0.58/0.81 ; 5 with value 29 3 with value 40 2 with value 62
% 0.58/0.81 ; 1 with value 30 5 with value 41 1 with value 65
% 0.58/0.81 ; 2 with value 32 2 with value 42 1 with value 82
% 0.58/0.81 ; 2 with value 33 2 with value 46 2 with value 85
% 0.58/0.81 ; 1 with value 34 1 with value 47 1 with value 88
% 0.58/0.81 ; 3 with value 35 1 with value 49 1 with value 90
% 0.58/0.81 ; 4 with value 38 2 with value 56
% 0.58/0.81 ; The agenda of rows to give has 1775 entries:
% 0.58/0.81 ; 7 with value (4 6) 49 with value (4 23) 16 with value (4 40)
% 0.58/0.81 ; 12 with value (4 7) 31 with value (4 24) 3 with value (4 41)
% 0.58/0.81 ; 16 with value (4 8) 32 with value (4 25) 1 with value (4 42)
% 0.58/0.81 ; 30 with value (4 9) 35 with value (4 26) 4 with value (4 43)
% 0.58/0.81 ; 88 with value (4 10) 35 with value (4 27) 3 with value (4 44)
% 0.58/0.81 ; 29 with value (4 11) 32 with value (4 28) 4 with value (4 45)
% 0.58/0.81 ; 102 with value (4 12) 38 with value (4 29) 1 with value (4 46)
% 0.58/0.81 ; 98 with value (4 13) 23 with value (4 30) 4 with value (4 47)
% 0.58/0.81 ; 80 with value (4 14) 24 with value (4 31) 3 with value (4 48)
% 0.58/0.81 ; 149 with value (4 15) 32 with value (4 32) 2 with value (4 49)
% 0.58/0.81 ; 112 with value (4 16) 13 with value (4 33) 1 with value (4 51)
% 0.58/0.81 ; 144 with value (4 17) 15 with value (4 34) 2 with value (4 52)
% 0.58/0.81 ; 152 with value (4 18) 21 with value (4 35) 1 with value (4 54)
% 0.58/0.81 ; 84 with value (4 19) 5 with value (4 36) 1 with value (4 56)
% 0.58/0.81 ; 84 with value (4 20) 11 with value (4 37) 1 with value (4 57)
% 0.58/0.81 ; 58 with value (4 21) 4 with value (4 38) 1 with value (4 61)
% 0.58/0.81 ; 73 with value (4 22) 9 with value (4 39)
% 0.58/0.81 Evaluation took:
% 0.58/0.81 0.431 seconds of real time
% 0.58/0.81 0.398219 seconds of user run time
% 0.58/0.81 0.032919 seconds of system run time
% 0.58/0.81 [Run times include 0.037 seconds GC run time.]
% 0.58/0.81 0 calls to %EVAL
% 0.58/0.81 0 page faults and
% 0.58/0.81 41,878,264 bytes consed.
% 0.58/0.81 :PROOF-FOUND
% 0.58/0.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T11:55:44
% 0.58/0.81 :PROOF-FOUND
% 0.58/0.81 *
%------------------------------------------------------------------------------