TSTP Solution File: ANA009-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : Thu Jul 14 19:26:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 18 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X)
| ~ c_lessequals(Y,Z,X)
| c_lessequals(c_plus(Y,U,X),c_plus(Z,U,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
cnf(cls_OrderedGroup_Oright__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_plus(Y,c_uminus(Y,X),X) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_lb(X),v_f(X),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(8,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_37,tfree_tcs]) ).
cnf(9,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(10,plain,
c_lessequals(c_plus(v_lb(X),Y,t_b),c_plus(v_f(X),Y,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__right_1,8,cls_conjecture_0]) ).
cnf(11,plain,
c_plus(X,c_uminus(X,t_b),t_b) = c_0,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oright__minus_0,9]) ).
cnf(12,plain,
c_lessequals(c_0,c_plus(v_f(X),c_uminus(v_lb(X),t_b),t_b),t_b),
inference('PARAMODULATE',[status(thm)],[10,11,theory(equality)]) ).
cnf(13,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 04:12:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:12:54
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-08T04:12:54
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 #||
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 ||#
% 0.20/0.49
% 0.20/0.49 ; Summary of computation:
% 0.20/0.49 ; 21 formulas have been input or derived (from 12 formulas).
% 0.20/0.49 ; 13 (62%) were retained. Of these,
% 0.20/0.49 ; 1 ( 8%) were simplified or subsumed later,
% 0.20/0.49 ; 12 (92%) are still being kept.
% 0.20/0.49 ;
% 0.20/0.49 ; Run time in seconds excluding printing time:
% 0.20/0.49 ; 0.002 8% Read assertion file (1 call)
% 0.20/0.49 ; 0.000 0% Assert (7 calls)
% 0.20/0.49 ; 0.000 0% Process new row (14 calls)
% 0.20/0.49 ; 0.001 4% Resolution (22 calls)
% 0.20/0.49 ; 0.000 0% Paramodulation (11 calls)
% 0.20/0.49 ; 0.001 4% Condensing (4 calls)
% 0.20/0.49 ; 0.000 0% Forward subsumption (4 calls)
% 0.20/0.49 ; 0.000 0% Backward subsumption (4 calls)
% 0.20/0.49 ; 0.001 4% Forward simplification (14 calls)
% 0.20/0.49 ; 0.000 0% Backward simplification (13 calls)
% 0.20/0.49 ; 0.000 0% Ordering (9 calls)
% 0.20/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.49 ; 0.000 0% Purity testing (1 call)
% 0.20/0.49 ; 0.021 81% Other
% 0.20/0.49 ; 0.026 Total
% 0.20/0.49 ; 0.029 Real time
% 0.20/0.49 ;
% 0.20/0.49 ; Term-hash-array has 30 terms in all.
% 0.20/0.49 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.20/0.49 ; Feature-vector-row-index has 16 nodes (16 at peak, 16 added, 0 deleted).
% 0.20/0.49 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.20/0.49 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.20/0.49 ; Path-index has 27 entries (33 at peak, 33 added, 6 deleted).
% 0.20/0.49 ; Path-index has 98 nodes (106 at peak, 106 added, 8 deleted).
% 0.20/0.49 ; Trie-index has 27 entries (33 at peak, 33 added, 6 deleted).
% 0.20/0.49 ; Trie-index has 95 nodes (113 at peak, 113 added, 18 deleted).
% 0.20/0.49 ; Retrieved 1 generalization term in 4 calls.
% 0.20/0.49 ; Retrieved 10 instance terms in 8 calls.
% 0.20/0.49 ; Retrieved 58 unifiable terms in 66 calls.
% 0.20/0.49 ;
% 0.20/0.49 ; The agenda of rows to process has 2 entries:
% 0.20/0.49 ; 1 with value 18 1 with value 25
% 0.20/0.49 ; The agenda of rows to give has 1 entry:
% 0.20/0.49 ; 1 with value (4 18)
% 0.20/0.49 Evaluation took:
% 0.20/0.49 0.029 seconds of real time
% 0.20/0.49 0.026215 seconds of user run time
% 0.20/0.49 0.002858 seconds of system run time
% 0.20/0.49 0 calls to %EVAL
% 0.20/0.49 0 page faults and
% 0.20/0.49 2,050,872 bytes consed.
% 0.20/0.49 :PROOF-FOUND
% 0.20/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:12:54
% 0.20/0.49 :PROOF-FOUND
% 0.20/0.49 *
%------------------------------------------------------------------------------