%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA012-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 19:26:37 EDT 2022
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 9 unt; 2 nHn; 12 RR)
% Number of literals : 25 ( 8 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_1,c_times(X,c_HOL_Oabs(v_c,t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Oabs__eq__0_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_HOL_Oabs(Y,X) != c_0
| Y = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X)
| c_lessequals(Y,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| Y = c_0
| c_times(c_HOL_Oinverse(Y,X),Y,X) = c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Ring__and__Field_Ofield(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(10,plain,
class_Ring__and__Field_Ofield(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0,tfree_tcs]) ).
cnf(11,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_47,tfree_tcs]) ).
cnf(12,plain,
class_Orderings_Oorder(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_58,tfree_tcs]) ).
cnf(14,plain,
( X = c_0
| c_times(c_HOL_Oinverse(X,t_a),X,t_a) = c_1 ),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,10]) ).
cnf(15,plain,
c_HOL_Oabs(v_c,t_a) != c_0,
inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__eq__0_0,11,cls_conjecture_0]) ).
cnf(16,plain,
c_lessequals(X,X,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0,12]) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,14,theory(equality)]),16,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA012-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 8 03:53:54 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:53:55
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-08T03:53:55
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 #||
% 0.17/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % SZS output start Refutation
% See solution above
% 0.17/0.48 ||#
% 0.17/0.48
% 0.17/0.48 ; Summary of computation:
% 0.17/0.48 ; 31 formulas have been input or derived (from 18 formulas).
% 0.17/0.48 ; 21 (68%) were retained. Of these,
% 0.17/0.48 ; 21 (100%) are still being kept.
% 0.17/0.48 ;
% 0.17/0.48 ; Run time in seconds excluding printing time:
% 0.17/0.48 ; 0.002 7% Read assertion file (1 call)
% 0.17/0.48 ; 0.000 0% Assert (9 calls)
% 0.17/0.48 ; 0.001 4% Process new row (25 calls)
% 0.17/0.48 ; 0.001 4% Resolution (34 calls)
% 0.17/0.48 ; 0.001 4% Paramodulation (17 calls)
% 0.17/0.48 ; 0.000 0% Factoring (1 call)
% 0.17/0.48 ; 0.000 0% Condensing (7 calls)
% 0.17/0.48 ; 0.000 0% Forward subsumption (7 calls)
% 0.17/0.48 ; 0.000 0% Backward subsumption (7 calls)
% 0.17/0.48 ; 0.001 4% Forward simplification (25 calls)
% 0.17/0.48 ; 0.000 0% Backward simplification (21 calls)
% 0.17/0.48 ; 0.000 0% Ordering (26 calls)
% 0.17/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.48 ; 0.000 0% Purity testing (1 call)
% 0.17/0.48 ; 0.022 79% Other
% 0.17/0.48 ; 0.028 Total
% 0.17/0.48 ; 0.031 Real time
% 0.17/0.48 ;
% 0.17/0.48 ; Term-hash-array has 38 terms in all.
% 0.17/0.48 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.17/0.48 ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.17/0.48 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.17/0.48 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.17/0.48 ; Path-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.17/0.48 ; Path-index has 164 nodes (164 at peak, 164 added, 0 deleted).
% 0.17/0.48 ; Trie-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.17/0.48 ; Trie-index has 156 nodes (156 at peak, 156 added, 0 deleted).
% 0.17/0.48 ; Retrieved 4 generalization terms in 26 calls.
% 0.17/0.48 ; Retrieved 14 instance terms in 13 calls.
% 0.17/0.48 ; Retrieved 103 unifiable terms in 107 calls.
% 0.17/0.48 ;
% 0.17/0.48 ; The agenda of rows to process has 2 entries:
% 0.17/0.48 ; 1 with value 19 1 with value 25
% 0.17/0.48 ; The agenda of rows to give has 3 entries:
% 0.17/0.48 ; 1 with value (4 17) 1 with value (4 19) 1 with value (4 25)
% 0.17/0.48 Evaluation took:
% 0.17/0.48 0.031 seconds of real time
% 0.17/0.48 0.026115 seconds of user run time
% 0.17/0.48 0.005175 seconds of system run time
% 0.17/0.48 0 calls to %EVAL
% 0.17/0.48 0 page faults and
% 0.17/0.48 2,178,096 bytes consed.
% 0.17/0.48 :PROOF-FOUND
% 0.17/0.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:53:55
% 0.17/0.48 :PROOF-FOUND
% 0.17/0.48 *
%------------------------------------------------------------------------------