TSTP Solution File: ANA020-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 19:26:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 19 RR)
% Number of literals : 31 ( 4 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
v_x = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(5,plain,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_conjecture_0,cls_conjecture_3,theory(equality)]) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Oabs__eq__0_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_HOL_Oabs(c_0,X) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_lessequals(c_0,c_HOL_Oabs(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_less(Y,Z,X)
| c_lessequals(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X)
| ~ c_lessequals(c_0,Y,X)
| ~ c_lessequals(c_0,Z,X)
| c_lessequals(c_0,c_times(Z,Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__cancel__semiring(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(14,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40,tfree_tcs]) ).
cnf(15,plain,
class_Orderings_Oorder(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(16,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(17,plain,
c_lessequals(c_0,v_c,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,15,cls_conjecture_1]) ).
cnf(19,plain,
c_HOL_Oabs(c_0,t_a) = c_0,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__eq__0_1,16]) ).
cnf(20,plain,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference('REWRITE',[status(thm)],[5,19,theory(equality)]) ).
cnf(22,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,16]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0,17,14,20]),22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Fri Jul 8 06:13:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:13:56
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-08T06:13:56
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 36 formulas have been input or derived (from 18 formulas).
% 0.20/0.50 ; 24 (67%) were retained. Of these,
% 0.20/0.50 ; 3 (12%) were simplified or subsumed later,
% 0.20/0.50 ; 21 (88%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (12 calls)
% 0.20/0.50 ; 0.001 4% Process new row (26 calls)
% 0.20/0.50 ; 0.000 0% Resolution (34 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (17 calls)
% 0.20/0.50 ; 0.000 0% Condensing (7 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (7 calls)
% 0.20/0.50 ; 0.001 4% Backward subsumption (7 calls)
% 0.20/0.50 ; 0.000 0% Forward simplification (26 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (23 calls)
% 0.20/0.50 ; 0.000 0% Ordering (12 calls)
% 0.20/0.50 ; 0.001 4% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.001 4% Purity testing (1 call)
% 0.20/0.50 ; 0.022 79% Other
% 0.20/0.50 ; 0.028 Total
% 0.20/0.50 ; 0.031 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 36 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.20/0.50 ; Path-index has 38 entries (38 at peak, 43 added, 5 deleted).
% 0.20/0.50 ; Path-index has 117 nodes (118 at peak, 135 added, 18 deleted).
% 0.20/0.50 ; Trie-index has 38 entries (38 at peak, 43 added, 5 deleted).
% 0.20/0.50 ; Trie-index has 100 nodes (100 at peak, 133 added, 33 deleted).
% 0.20/0.50 ; Retrieved 3 generalization terms in 23 calls.
% 0.20/0.50 ; Retrieved 15 instance terms in 15 calls.
% 0.20/0.50 ; Retrieved 154 unifiable terms in 117 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to give has 4 entries:
% 0.20/0.50 ; 1 with value (4 9) 1 with value (4 12) 1 with value (4 16)
% 0.20/0.50 ; 1 with value (4 10)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.031 seconds of real time
% 0.20/0.50 0.029424 seconds of user run time
% 0.20/0.50 0.002241 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,562,736 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:13:56
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------