TSTP Solution File: LAT266-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT266-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:43:09 EDT 2022
% Result : Unsatisfiable 0.92s 1.10s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 2 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-1.ax',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X,Y),Y,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X,Y,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-1.ax',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(2230,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_Tarski_OA_A_61_61_Apset_Acl_0,theory(equality)]) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(2233,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,2230,cls_Tarski_OA_A_61_61_Apset_Acl_0,cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LAT266-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.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 : Thu Jun 30 02:19:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T02:19:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-30T02:19:08
% 0.62/0.84
% 0.71/0.86 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.71/0.86 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.71/0.87 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |c_Relation_Oantisym| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |c_Relation_Orefl| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.90 WARNING:
% 0.73/0.90 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.92/1.10 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.92/1.10
% 0.92/1.10 #||
% 0.92/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10 % SZS output start Refutation
% See solution above
% 0.92/1.10 ||#
% 0.92/1.10
% 0.92/1.10 ; Summary of computation:
% 0.92/1.10 ; 3042 formulas have been input or derived (from 1 formulas).
% 0.92/1.10 ; 2233 (73%) were retained. Of these,
% 0.92/1.10 ; 304 (14%) were simplified or subsumed later,
% 0.92/1.10 ; 1929 (86%) are still being kept.
% 0.92/1.10 ;
% 0.92/1.10 ; Run time in seconds:
% 0.92/1.10 ; 0.351 56% Read assertion file (1 call)
% 0.92/1.10 ; 0.040 6% Assert (2,752 calls)
% 0.92/1.10 ; 0.093 15% Process new row (2,748 calls)
% 0.92/1.10 ; 0.011 2% Condensing (1,527 calls)
% 0.92/1.10 ; 0.014 2% Forward subsumption (1,527 calls)
% 0.92/1.10 ; 0.018 3% Backward subsumption (1,484 calls)
% 0.92/1.10 ; 0.003 0% Clause clause subsumption (422 calls)
% 0.92/1.10 ; 0.021 3% Forward simplification (2,159 calls)
% 0.92/1.10 ; 0.023 4% Backward simplification (2,087 calls)
% 0.92/1.10 ; 0.003 0% Ordering (545 calls)
% 0.92/1.10 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.10 ; 0.014 2% Purity testing (1 call)
% 0.92/1.10 ; 0.031 5% Other
% 0.92/1.10 ; 0.622 Total
% 0.92/1.10 ; 0.623 Real time
% 0.92/1.10 ;
% 0.92/1.10 ; Term-hash-array has 3,371 terms in all.
% 0.92/1.10 ; Feature-vector-row-index has 1,377 entries (1,377 at peak, 1,484 added, 107 deleted).
% 0.92/1.10 ; Feature-vector-row-index has 4,209 nodes (4,209 at peak, 5,541 added, 1,332 deleted).
% 0.92/1.10 ; Retrieved 2,002 possibly forward subsuming rows in 1,527 calls.
% 0.92/1.10 ; Retrieved 1,948 possibly backward subsumed rows in 1,484 calls.
% 0.92/1.10 ; Path-index has 3,065 entries (3,065 at peak, 3,436 added, 371 deleted).
% 0.92/1.10 ; Path-index has 13,614 nodes (13,614 at peak, 14,416 added, 802 deleted).
% 0.92/1.10 ; Trie-index has 3,065 entries (3,065 at peak, 3,436 added, 371 deleted).
% 0.92/1.10 ; Trie-index has 12,545 nodes (12,545 at peak, 14,891 added, 2,346 deleted).
% 0.92/1.10 ; Retrieved 533 generalization terms in 6,460 calls.
% 0.92/1.10 ; Retrieved 897 instance terms in 631 calls.
% 0.92/1.10 ;
% 0.92/1.10 ; The agenda of backward simplifiable rows to process has 144 entries:
% 0.92/1.10 ; 144 with value 0
% 0.92/1.10 ; The agenda of input rows to give has 1928 entries:
% 0.92/1.10 ; 92 with value 3 49 with value 22 6 with value 41
% 0.92/1.10 ; 12 with value 4 57 with value 23 1 with value 42
% 0.92/1.10 ; 17 with value 5 14 with value 24 8 with value 43
% 0.92/1.10 ; 533 with value 6 10 with value 25 2 with value 44
% 0.92/1.10 ; 69 with value 7 17 with value 26 2 with value 45
% 0.92/1.10 ; 76 with value 8 30 with value 27 2 with value 46
% 0.92/1.10 ; 40 with value 9 19 with value 28 2 with value 48
% 0.92/1.10 ; 38 with value 10 14 with value 29 1 with value 49
% 0.92/1.10 ; 72 with value 11 8 with value 30 1 with value 50
% 0.92/1.10 ; 69 with value 12 14 with value 31 1 with value 51
% 0.92/1.10 ; 50 with value 13 7 with value 32 1 with value 53
% 0.92/1.10 ; 69 with value 14 12 with value 33 5 with value 56
% 0.92/1.10 ; 59 with value 15 16 with value 34 2 with value 61
% 0.92/1.10 ; 105 with value 16 3 with value 35 2 with value 62
% 0.92/1.10 ; 94 with value 17 17 with value 36 1 with value 65
% 0.92/1.10 ; 59 with value 18 1 with value 37 1 with value 82
% 0.92/1.10 ; 52 with value 19 6 with value 38 2 with value 85
% 0.92/1.10 ; 43 with value 20 4 with value 39 1 with value 88
% 0.92/1.10 ; 30 with value 21 9 with value 40 1 with value 90
% 0.92/1.10 Evaluation took:
% 0.92/1.10 0.623 seconds of real time
% 0.92/1.10 0.585655 seconds of user run time
% 0.92/1.10 0.037605 seconds of system run time
% 0.92/1.10 [Run times include 0.022 seconds GC run time.]
% 0.92/1.10 0 calls to %EVAL
% 0.92/1.10 0 page faults and
% 0.92/1.10 48,015,024 bytes consed.
% 0.92/1.10 :PROOF-FOUND
% 0.92/1.10 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T02:19:09
% 0.92/1.10 :PROOF-FOUND
% 0.92/1.10 *
%------------------------------------------------------------------------------