%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV278-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 : Wed Jul 20 21:32:30 EDT 2022
% Result : Unsatisfiable 1.06s 1.30s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
c_Message_OinvKey(c_Message_OinvKey(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-0.ax',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(X,Y,tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts_OInj_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X)) = c_Message_Oparts(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__analz_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(2357,plain,
~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,theory(equality)]) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(2951,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,cls_conjecture_3]),2357,cls_Message_Oparts__analz_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV278-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 : Wed Jun 15 02:13:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T02:13:44
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-15T02:13:44
% 0.60/0.84
% 0.60/0.86 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.69/0.88 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.69/0.88 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.91 WARNING:
% 0.71/0.91 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.06/1.30 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 1.06/1.30
% 1.06/1.30 #||
% 1.06/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.30 % SZS output start Refutation
% See solution above
% 1.13/1.31 ||#
% 1.13/1.31
% 1.13/1.31 ; Summary of computation:
% 1.13/1.31 ; 6244 formulas have been input or derived (from 1070 formulas).
% 1.13/1.31 ; 2951 (47%) were retained. Of these,
% 1.13/1.31 ; 347 (12%) were simplified or subsumed later,
% 1.13/1.31 ; 2604 (88%) are still being kept.
% 1.13/1.31 ;
% 1.13/1.31 ; Run time in seconds excluding printing time:
% 1.13/1.31 ; 0.351 43% Read assertion file (1 call)
% 1.13/1.31 ; 0.053 6% Assert (2,899 calls)
% 1.13/1.31 ; 0.126 15% Process new row (5,353 calls)
% 1.13/1.31 ; 0.057 7% Resolution (2,138 calls)
% 1.13/1.31 ; 0.012 1% Paramodulation (1,069 calls)
% 1.13/1.31 ; 0.000 0% Factoring (4 calls)
% 1.13/1.31 ; 0.016 2% Condensing (1,741 calls)
% 1.13/1.31 ; 0.021 3% Forward subsumption (1,741 calls)
% 1.13/1.31 ; 0.066 8% Backward subsumption (1,683 calls)
% 1.13/1.31 ; 0.002 0% Clause clause subsumption (521 calls)
% 1.13/1.31 ; 0.039 5% Forward simplification (4,766 calls)
% 1.13/1.31 ; 0.017 2% Backward simplification (2,804 calls)
% 1.13/1.31 ; 0.004 0% Ordering (2,191 calls)
% 1.13/1.31 ; 0.001 0% Sortal reasoning (32 calls)
% 1.13/1.31 ; 0.008 1% Purity testing (1 call)
% 1.13/1.31 ; 0.043 5% Other
% 1.13/1.31 ; 0.816 Total
% 1.13/1.31 ; 0.837 Real time
% 1.13/1.32 ;
% 1.13/1.32 ; Term-hash-array has 4,885 terms in all.
% 1.13/1.32 ; Feature-vector-row-index has 1,549 entries (1,549 at peak, 1,683 added, 134 deleted).
% 1.13/1.32 ; Feature-vector-row-index has 5,634 nodes (5,635 at peak, 7,173 added, 1,539 deleted).
% 1.13/1.32 ; Retrieved 1,914 possibly forward subsuming rows in 1,741 calls.
% 1.13/1.32 ; Retrieved 1,962 possibly backward subsumed rows in 1,683 calls.
% 1.13/1.32 ; Path-index has 4,589 entries (4,589 at peak, 5,042 added, 453 deleted).
% 1.13/1.32 ; Path-index has 18,806 nodes (18,806 at peak, 19,740 added, 934 deleted).
% 1.13/1.32 ; Trie-index has 4,589 entries (4,589 at peak, 5,042 added, 453 deleted).
% 1.13/1.32 ; Trie-index has 18,892 nodes (18,892 at peak, 21,671 added, 2,779 deleted).
% 1.13/1.32 ; Retrieved 2,761 generalization terms in 11,508 calls.
% 1.13/1.32 ; Retrieved 1,480 instance terms in 1,151 calls.
% 1.13/1.32 ; Retrieved 65,741 unifiable terms in 5,294 calls.
% 1.13/1.32 ;
% 1.13/1.32 ; The agenda of rows to process has 10 entries:
% 1.13/1.32 ; 3 with value 11 4 with value 12 3 with value 14
% 1.13/1.32 ; The agenda of input rows to give has 1120 entries:
% 1.13/1.32 ; 6 with value 12 24 with value 29 2 with value 46
% 1.13/1.32 ; 71 with value 13 11 with value 30 2 with value 48
% 1.13/1.32 ; 73 with value 14 16 with value 31 1 with value 49
% 1.13/1.32 ; 66 with value 15 13 with value 32 4 with value 50
% 1.13/1.32 ; 116 with value 16 14 with value 33 1 with value 51
% 1.13/1.32 ; 113 with value 17 17 with value 34 1 with value 52
% 1.13/1.32 ; 68 with value 18 8 with value 35 2 with value 53
% 1.13/1.32 ; 60 with value 19 17 with value 36 6 with value 56
% 1.13/1.32 ; 50 with value 20 3 with value 37 1 with value 58
% 1.13/1.32 ; 42 with value 21 14 with value 38 2 with value 61
% 1.13/1.32 ; 55 with value 22 5 with value 39 3 with value 62
% 1.13/1.32 ; 72 with value 23 11 with value 40 1 with value 65
% 1.13/1.32 ; 23 with value 24 6 with value 41 1 with value 82
% 1.13/1.32 ; 13 with value 25 1 with value 42 2 with value 85
% 1.13/1.32 ; 27 with value 26 8 with value 43 1 with value 88
% 1.13/1.32 ; 35 with value 27 2 with value 44 1 with value 90
% 1.13/1.32 ; 27 with value 28 2 with value 45
% 1.13/1.32 ; The agenda of rows to give has 418 entries:
% 1.13/1.32 ; 6 with value (4 5) 26 with value (4 11) 29 with value (4 16)
% 1.13/1.32 ; 18 with value (4 6) 93 with value (4 12) 2 with value (4 17)
% 1.13/1.32 ; 13 with value (4 7) 31 with value (4 13) 1 with value (4 18)
% 1.13/1.32 ; 65 with value (4 8) 20 with value (4 14) 5 with value (4 20)
% 1.13/1.32 ; 40 with value (4 9) 31 with value (4 15) 1 with value (4 28)
% 1.13/1.32 ; 37 with value (4 10)
% 1.13/1.32 Evaluation took:
% 1.13/1.32 0.838 seconds of real time
% 1.13/1.32 0.787733 seconds of user run time
% 1.13/1.32 0.049794 seconds of system run time
% 1.13/1.32 [Run times include 0.063 seconds GC run time.]
% 1.13/1.32 0 calls to %EVAL
% 1.13/1.32 0 page faults and
% 1.13/1.32 63,016,296 bytes consed.
% 1.13/1.32 :PROOF-FOUND
% 1.13/1.32 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T02:13:45
% 1.13/1.32 :PROOF-FOUND
% 1.13/1.32 *
%------------------------------------------------------------------------------