TSTP Solution File: LAT270-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT270-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Sun Jul 17 06:43:11 EDT 2022
% Result : Unsatisfiable 4.24s 4.47s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,axiom,
( ~ c_in(X,v_A,t_a)
| ~ c_in(Y,v_A,t_a)
| ~ c_lessequals(Z,c_Tarski_Ointerval(v_r,Y,X,t_a),tc_set(t_a))
| c_lessequals(Z,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_a,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(10031,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,cls_conjecture_1,cls_conjecture_0,cls_conjecture_2,cls_conjecture_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT270-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 01:55:58 EDT 2022
% 0.12/0.34 % 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 2022-06-29T01:55:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-29T01:55:58
% 0.69/0.87
% 0.72/0.88 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.72/0.88 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.72/0.90 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |c_Relation_Oantisym| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |c_Relation_Orefl| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.92 WARNING:
% 0.72/0.92 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.92 WARNING:
% 0.76/0.92 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.76/0.92 WARNING:
% 0.76/0.92 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.92 WARNING:
% 0.76/0.92 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.92 WARNING:
% 0.76/0.92 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.92 WARNING:
% 0.76/0.92 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.92 WARNING:
% 0.76/0.92 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 4.24/4.47 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 4.24/4.47
% 4.24/4.47 #||
% 4.24/4.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.24/4.47 % SZS output start Refutation
% See solution above
% 4.24/4.47 ||#
% 4.24/4.47
% 4.24/4.47 ; Summary of computation:
% 4.24/4.47 ; 20011 formulas have been input or derived (from 1876 formulas).
% 4.24/4.47 ; 10031 (50%) were retained. Of these,
% 4.24/4.47 ; 1382 (14%) were simplified or subsumed later,
% 4.24/4.47 ; 8649 (86%) are still being kept.
% 4.24/4.47 ;
% 4.24/4.47 ; Run time in seconds:
% 4.24/4.47 ; 0.385 10% Read assertion file (1 call)
% 4.24/4.47 ; 0.040 1% Assert (2,758 calls)
% 4.24/4.47 ; 1.023 26% Process new row (17,979 calls)
% 4.24/4.47 ; 0.546 14% Resolution (3,750 calls)
% 4.24/4.47 ; 0.128 3% Paramodulation (1,875 calls)
% 4.24/4.47 ; 0.001 0% Factoring (61 calls)
% 4.24/4.47 ; 0.109 3% Condensing (6,907 calls)
% 4.24/4.47 ; 0.553 14% Forward subsumption (6,907 calls)
% 4.24/4.47 ; 0.360 9% Backward subsumption (5,887 calls)
% 4.24/4.47 ; 0.054 1% Clause clause subsumption (6,426 calls)
% 4.24/4.47 ; 0.451 11% Forward simplification (17,119 calls)
% 4.24/4.47 ; 0.119 3% Backward simplification (9,887 calls)
% 4.24/4.47 ; 0.102 3% Ordering (24,003 calls)
% 4.24/4.47 ; 0.000 0% Sortal reasoning (32 calls)
% 4.24/4.47 ; 0.014 0% Purity testing (1 call)
% 4.24/4.47 ; 0.119 3% Other
% 4.24/4.47 ; 4.004 Total
% 4.24/4.47 ; 4.005 Real time
% 4.24/4.47 ;
% 4.24/4.48 ; Term-hash-array has 23,601 terms in all.
% 4.24/4.48 ; Feature-vector-row-index has 5,233 entries (5,233 at peak, 5,887 added, 654 deleted).
% 4.24/4.48 ; Feature-vector-row-index has 34,039 nodes (34,039 at peak, 38,770 added, 4,731 deleted).
% 4.24/4.48 ; Retrieved 9,459 possibly forward subsuming rows in 6,907 calls.
% 4.24/4.48 ; Retrieved 3,191 possibly backward subsumed rows in 5,887 calls.
% 4.24/4.48 ; Path-index has 21,365 entries (21,365 at peak, 24,084 added, 2,719 deleted).
% 4.24/4.48 ; Path-index has 82,419 nodes (82,419 at peak, 87,024 added, 4,605 deleted).
% 4.24/4.48 ; Trie-index has 21,365 entries (21,365 at peak, 24,084 added, 2,719 deleted).
% 4.24/4.48 ; Trie-index has 130,962 nodes (130,962 at peak, 146,340 added, 15,378 deleted).
% 4.24/4.48 ; Retrieved 31,392 generalization terms in 81,734 calls.
% 4.24/4.48 ; Retrieved 6,112 instance terms in 4,204 calls.
% 4.24/4.48 ; Retrieved 749,644 unifiable terms in 16,161 calls.
% 4.24/4.48 ;
% 4.24/4.48 ; The agenda of rows to process has 58 entries:
% 4.24/4.48 ; 2 with value 6 4 with value 29 4 with value 44
% 4.24/4.48 ; 5 with value 8 5 with value 30 2 with value 51
% 4.24/4.48 ; 14 with value 12 1 with value 31 2 with value 52
% 4.24/4.48 ; 4 with value 19 6 with value 34 1 with value 56
% 4.24/4.48 ; 1 with value 21 2 with value 41 1 with value 66
% 4.24/4.48 ; 4 with value 22
% 4.24/4.48 ; The agenda of input rows to give has 263 entries:
% 4.24/4.48 ; 27 with value 28 6 with value 39 1 with value 53
% 4.24/4.48 ; 25 with value 29 5 with value 40 1 with value 54
% 4.24/4.48 ; 13 with value 30 13 with value 41 4 with value 55
% 4.24/4.48 ; 17 with value 31 4 with value 42 6 with value 56
% 4.24/4.48 ; 20 with value 32 12 with value 43 2 with value 61
% 4.24/4.48 ; 17 with value 33 4 with value 44 3 with value 62
% 4.24/4.48 ; 18 with value 34 5 with value 45 1 with value 65
% 4.24/4.48 ; 5 with value 35 2 with value 46 1 with value 82
% 4.24/4.48 ; 18 with value 36 1 with value 47 2 with value 85
% 4.24/4.48 ; 7 with value 37 3 with value 48 1 with value 88
% 4.24/4.48 ; 12 with value 38 6 with value 49 1 with value 90
% 4.24/4.48 ; The agenda of rows to give has 6626 entries:
% 4.24/4.48 ; 2 with value (4 4) 119 with value (4 34) 12 with value (4 63)
% 4.24/4.48 ; 8 with value (4 5) 130 with value (4 35) 21 with value (4 64)
% 4.24/4.48 ; 18 with value (4 6) 61 with value (4 36) 2 with value (4 65)
% 4.24/4.48 ; 13 with value (4 7) 112 with value (4 37) 12 with value (4 66)
% 4.24/4.48 ; 44 with value (4 8) 84 with value (4 38) 10 with value (4 67)
% 4.24/4.48 ; 70 with value (4 9) 124 with value (4 39) 6 with value (4 68)
% 4.24/4.48 ; 131 with value (4 10) 91 with value (4 40) 2 with value (4 69)
% 4.24/4.48 ; 80 with value (4 11) 84 with value (4 41) 12 with value (4 70)
% 4.24/4.48 ; 165 with value (4 12) 114 with value (4 42) 6 with value (4 71)
% 4.24/4.48 ; 151 with value (4 13) 62 with value (4 43) 14 with value (4 72)
% 4.24/4.48 ; 206 with value (4 14) 67 with value (4 44) 2 with value (4 73)
% 4.24/4.48 ; 198 with value (4 15) 69 with value (4 45) 3 with value (4 74)
% 4.24/4.48 ; 232 with value (4 16) 33 with value (4 46) 1 with value (4 75)
% 4.24/4.48 ; 241 with value (4 17) 61 with value (4 47) 5 with value (4 76)
% 4.24/4.48 ; 198 with value (4 18) 59 with value (4 48) 7 with value (4 77)
% 4.24/4.48 ; 239 with value (4 19) 78 with value (4 49) 4 with value (4 78)
% 4.24/4.48 ; 258 with value (4 20) 39 with value (4 50) 5 with value (4 80)
% 4.24/4.48 ; 263 with value (4 21) 41 with value (4 51) 2 with value (4 81)
% 4.24/4.48 ; 226 with value (4 22) 57 with value (4 52) 1 with value (4 82)
% 4.24/4.48 ; 240 with value (4 23) 24 with value (4 53) 1 with value (4 83)
% 4.24/4.48 ; 177 with value (4 24) 40 with value (4 54) 2 with value (4 84)
% 4.24/4.48 ; 187 with value (4 25) 45 with value (4 55) 1 with value (4 85)
% 4.24/4.48 ; 191 with value (4 26) 16 with value (4 56) 1 with value (4 86)
% 4.24/4.48 ; 187 with value (4 27) 23 with value (4 57) 1 with value (4 87)
% 4.24/4.48 ; 163 with value (4 28) 28 with value (4 58) 1 with value (4 88)
% 4.24/4.48 ; 237 with value (4 29) 32 with value (4 59) 1 with value (4 91)
% 4.24/4.48 ; 143 with value (4 30) 34 with value (4 60) 2 with value (4 97)
% 4.24/4.48 ; 155 with value (4 31) 16 with value (4 61) 1 with value (4 104)
% 4.24/4.48 ; 191 with value (4 32) 15 with value (4 62) 1 with value (4 115)
% 4.24/4.48 ; 115 with value (4 33)
% 4.24/4.48 Evaluation took:
% 4.24/4.48 4.009 seconds of real time
% 4.24/4.48 3.74374 seconds of user run time
% 4.24/4.48 0.263947 seconds of system run time
% 4.24/4.48 [Run times include 0.813 seconds GC run time.]
% 4.24/4.48 0 calls to %EVAL
% 4.24/4.48 0 page faults and
% 4.24/4.48 293,998,720 bytes consed.
% 4.24/4.48 :PROOF-FOUND
% 4.24/4.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T01:56:02
% 4.24/4.48 :PROOF-FOUND
% 4.24/4.48 *
%------------------------------------------------------------------------------