%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL122-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 00:41:56 EDT 2022
% Result : Unsatisfiable 0.83s 1.01s
% Output : Refutation 0.83s
% 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_0,negated_conjecture,
c_in(c_Pair(v_x,v_xaa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Pair(v_x,X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xaa,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(2211,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,cls_conjecture_0,cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL122-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 08:47:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:47:56
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-31T08:47:56
% 0.48/0.63
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.83/1.01 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.83/1.01
% 0.83/1.01 #||
% 0.83/1.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.01 % SZS output start Refutation
% See solution above
% 0.83/1.01 ||#
% 0.83/1.01
% 0.83/1.01 ; Summary of computation:
% 0.83/1.01 ; 5217 formulas have been input or derived (from 513 formulas).
% 0.83/1.01 ; 2211 (42%) were retained. Of these,
% 0.83/1.01 ; 13 ( 1%) were simplified or subsumed later,
% 0.83/1.01 ; 2198 (99%) are still being kept.
% 0.83/1.01 ;
% 0.83/1.01 ; Run time in seconds:
% 0.83/1.01 ; 0.141 26% Read assertion file (1 call)
% 0.83/1.01 ; 0.014 3% Assert (1,370 calls)
% 0.83/1.01 ; 0.151 28% Process new row (4,554 calls)
% 0.83/1.01 ; 0.056 10% Resolution (1,024 calls)
% 0.83/1.01 ; 0.003 1% Paramodulation (512 calls)
% 0.83/1.01 ; 0.000 0% Factoring (8 calls)
% 0.83/1.01 ; 0.006 1% Condensing (707 calls)
% 0.83/1.01 ; 0.013 2% Forward subsumption (707 calls)
% 0.83/1.01 ; 0.013 2% Backward subsumption (675 calls)
% 0.83/1.01 ; 0.001 0% Clause clause subsumption (262 calls)
% 0.83/1.01 ; 0.039 7% Forward simplification (3,788 calls)
% 0.83/1.01 ; 0.042 8% Backward simplification (2,210 calls)
% 0.83/1.01 ; 0.004 1% Ordering (731 calls)
% 0.83/1.01 ; 0.000 0% Sortal reasoning (32 calls)
% 0.83/1.01 ; 0.008 1% Purity testing (1 call)
% 0.83/1.01 ; 0.049 9% Other
% 0.83/1.01 ; 0.540 Total
% 0.83/1.01 ; 0.540 Real time
% 0.83/1.01 ;
% 0.83/1.01 ; Term-hash-array has 4,784 terms in all.
% 0.83/1.01 ; Feature-vector-row-index has 671 entries (671 at peak, 675 added, 4 deleted).
% 0.83/1.01 ; Feature-vector-row-index has 2,242 nodes (2,242 at peak, 2,257 added, 15 deleted).
% 0.83/1.01 ; Retrieved 754 possibly forward subsuming rows in 707 calls.
% 0.83/1.01 ; Retrieved 483 possibly backward subsumed rows in 675 calls.
% 0.83/1.01 ; Path-index has 4,794 entries (4,794 at peak, 4,812 added, 18 deleted).
% 0.83/1.01 ; Path-index has 17,006 nodes (17,006 at peak, 17,034 added, 28 deleted).
% 0.83/1.01 ; Trie-index has 4,794 entries (4,794 at peak, 4,812 added, 18 deleted).
% 0.83/1.01 ; Trie-index has 26,400 nodes (26,400 at peak, 26,474 added, 74 deleted).
% 0.83/1.01 ; Retrieved 1,936 generalization terms in 5,481 calls.
% 0.83/1.01 ; Retrieved 1,662 instance terms in 1,536 calls.
% 0.83/1.01 ; Retrieved 94,239 unifiable terms in 4,014 calls.
% 0.83/1.01 ;
% 0.83/1.01 ; The agenda of rows to process has 2 entries:
% 0.83/1.01 ; 1 with value 13 1 with value 15
% 0.83/1.01 ; The agenda of input rows to give has 53 entries:
% 0.83/1.01 ; 9 with value 27 3 with value 35 2 with value 62
% 0.83/1.01 ; 2 with value 28 4 with value 38 1 with value 65
% 0.83/1.01 ; 5 with value 29 5 with value 40 1 with value 82
% 0.83/1.01 ; 1 with value 30 5 with value 41 2 with value 85
% 0.83/1.01 ; 2 with value 32 2 with value 42 1 with value 88
% 0.83/1.01 ; 2 with value 33 2 with value 46 1 with value 90
% 0.83/1.01 ; 1 with value 34 2 with value 56
% 0.83/1.01 ; The agenda of rows to give has 1632 entries:
% 0.83/1.01 ; 7 with value (4 6) 48 with value (4 21) 3 with value (4 36)
% 0.83/1.01 ; 12 with value (4 7) 63 with value (4 22) 5 with value (4 37)
% 0.83/1.01 ; 16 with value (4 8) 41 with value (4 23) 6 with value (4 38)
% 0.83/1.01 ; 30 with value (4 9) 30 with value (4 24) 2 with value (4 39)
% 0.83/1.01 ; 89 with value (4 10) 30 with value (4 25) 6 with value (4 40)
% 0.83/1.01 ; 27 with value (4 11) 28 with value (4 26) 4 with value (4 43)
% 0.83/1.01 ; 102 with value (4 12) 36 with value (4 27) 3 with value (4 44)
% 0.83/1.01 ; 97 with value (4 13) 26 with value (4 28) 3 with value (4 45)
% 0.83/1.01 ; 78 with value (4 14) 28 with value (4 29) 2 with value (4 47)
% 0.83/1.01 ; 151 with value (4 15) 20 with value (4 30) 2 with value (4 49)
% 0.83/1.01 ; 108 with value (4 16) 17 with value (4 31) 1 with value (4 51)
% 0.83/1.01 ; 136 with value (4 17) 31 with value (4 32) 2 with value (4 52)
% 0.83/1.01 ; 138 with value (4 18) 10 with value (4 33) 1 with value (4 54)
% 0.83/1.01 ; 85 with value (4 19) 7 with value (4 34) 1 with value (4 57)
% 0.83/1.01 ; 85 with value (4 20) 14 with value (4 35) 1 with value (4 61)
% 0.83/1.01 Evaluation took:
% 0.83/1.01 0.54 seconds of real time
% 0.83/1.01 0.506323 seconds of user run time
% 0.83/1.01 0.033824 seconds of system run time
% 0.83/1.01 [Run times include 0.042 seconds GC run time.]
% 0.83/1.01 0 calls to %EVAL
% 0.83/1.01 0 page faults and
% 0.83/1.01 38,553,584 bytes consed.
% 0.83/1.01 :PROOF-FOUND
% 0.83/1.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:47:56
% 0.83/1.01 :PROOF-FOUND
% 0.83/1.01 *
%------------------------------------------------------------------------------