TSTP Solution File: ANA024-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 19:26:47 EDT 2022
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 17 ( 2 equ; 7 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; 2 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| Y = c_plus(c_minus(Y,Z,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(c_plus(Y,Z,X),U,X)
| c_lessequals(Y,c_minus(U,Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_k(X),v_f(X),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| class_OrderedGroup_Oab__group__add(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Opordered__ab__group__add(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(8,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(9,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Opordered__ab__group__add_0,8]) ).
cnf(10,plain,
~ c_lessequals(c_plus(c_minus(v_k(v_x),v_g(v_x),t_b),v_g(v_x),t_b),v_f(v_x),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,8,cls_conjecture_3]) ).
cnf(11,plain,
X = c_plus(c_minus(X,Y,t_b),Y,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__10_0,9]) ).
cnf(12,plain,
$false,
inference('REWRITE',[status(thm)],[10,cls_conjecture_1,11,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Fri Jul 8 04:46:30 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T04:46:30
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-08T04:46:30
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 #||
% 0.22/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54 % SZS output start Refutation
% See solution above
% 0.22/0.55 ||#
% 0.22/0.55
% 0.22/0.55 ; Summary of computation:
% 0.22/0.55 ; 15 formulas have been input or derived (from 10 formulas).
% 0.22/0.55 ; 12 (80%) were retained. Of these,
% 0.22/0.55 ; 1 ( 8%) were simplified or subsumed later,
% 0.22/0.55 ; 11 (92%) are still being kept.
% 0.22/0.55 ;
% 0.22/0.55 ; Run time in seconds excluding printing time:
% 0.22/0.55 ; 0.002 7% Read assertion file (1 call)
% 0.22/0.55 ; 0.000 0% Assert (7 calls)
% 0.22/0.55 ; 0.000 0% Process new row (12 calls)
% 0.22/0.55 ; 0.001 4% Resolution (18 calls)
% 0.22/0.55 ; 0.000 0% Paramodulation (9 calls)
% 0.22/0.55 ; 0.000 0% Condensing (4 calls)
% 0.22/0.55 ; 0.000 0% Forward subsumption (4 calls)
% 0.22/0.55 ; 0.000 0% Backward subsumption (4 calls)
% 0.22/0.55 ; 0.001 4% Forward simplification (12 calls)
% 0.22/0.55 ; 0.001 4% Backward simplification (12 calls)
% 0.22/0.55 ; 0.000 0% Ordering (2 calls)
% 0.22/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.55 ; 0.000 0% Purity testing (1 call)
% 0.22/0.55 ; 0.023 82% Other
% 0.22/0.55 ; 0.028 Total
% 0.22/0.55 ; 0.029 Real time
% 0.22/0.55 ;
% 0.22/0.55 ; Term-hash-array has 27 terms in all.
% 0.22/0.55 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.22/0.55 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.22/0.55 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.22/0.55 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.22/0.55 ; Path-index has 27 entries (29 at peak, 29 added, 2 deleted).
% 0.22/0.55 ; Path-index has 117 nodes (126 at peak, 126 added, 9 deleted).
% 0.22/0.55 ; Trie-index has 27 entries (29 at peak, 29 added, 2 deleted).
% 0.22/0.55 ; Trie-index has 91 nodes (111 at peak, 111 added, 20 deleted).
% 0.22/0.55 ; Retrieved 1 generalization term in 3 calls.
% 0.22/0.55 ; Retrieved 8 instance terms in 7 calls.
% 0.22/0.55 ; Retrieved 32 unifiable terms in 47 calls.
% 0.22/0.55 ;
% 0.22/0.55 ; The agenda of rows to give has 1 entry:
% 0.22/0.55 ; 1 with value (4 15)
% 0.22/0.55 Evaluation took:
% 0.22/0.55 0.03 seconds of real time
% 0.22/0.55 0.022212 seconds of user run time
% 0.22/0.55 0.007129 seconds of system run time
% 0.22/0.55 0 calls to %EVAL
% 0.22/0.55 0 page faults and
% 0.22/0.55 1,989,648 bytes consed.
% 0.22/0.55 :PROOF-FOUND
% 0.22/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T04:46:30
% 0.22/0.55 :PROOF-FOUND
% 0.22/0.55 *
%------------------------------------------------------------------------------