TSTP Solution File: ANA043-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 19:27:00 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 2 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X),t_b),c_times(v_c,c_HOL_Oabs(v_h(X),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X),v_xa(X))),t_b),t_b),c_times(X,c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X),v_xa(X))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
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_OrderedGroup_Omult__left__commute_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X)
| c_times(Y,c_times(Z,U,X),X) = c_times(Z,c_times(Y,U,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__left__commute_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(c_0,U,X)
| c_lessequals(c_times(U,Y,X),c_times(U,Z,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__semigroup__mult(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__semiring(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
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(10,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_17,tfree_tcs]) ).
cnf(11,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(12,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(13,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(Y,c_times(X,Z,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omult__left__commute_0,10]) ).
cnf(14,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X),v_xa(X))),t_b),t_b),c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_times(X,c_HOL_Oabs(v_h(v_k(v_x(X),v_xa(X))),t_b),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[cls_conjecture_1,13,theory(equality)]) ).
cnf(15,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,11,cls_conjecture_0,14]) ).
cnf(16,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,12]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[15,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 06:51:29 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 *
% 0.20/0.47 #<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 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:51:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-08T06:51:29
% 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
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 22 formulas have been input or derived (from 14 formulas).
% 0.20/0.51 ; 17 (77%) were retained. Of these,
% 0.20/0.51 ; 2 (12%) were simplified or subsumed later,
% 0.20/0.51 ; 15 (88%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 10% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (9 calls)
% 0.20/0.51 ; 0.002 7% Process new row (17 calls)
% 0.20/0.51 ; 0.002 7% Resolution (26 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (13 calls)
% 0.20/0.51 ; 0.001 3% Condensing (6 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (6 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (6 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (17 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (17 calls)
% 0.20/0.51 ; 0.000 0% Ordering (7 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 72% Other
% 0.20/0.51 ; 0.029 Total
% 0.20/0.51 ; 0.031 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 54 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.51 ; Path-index has 49 entries (54 at peak, 67 added, 18 deleted).
% 0.20/0.51 ; Path-index has 277 nodes (285 at peak, 328 added, 51 deleted).
% 0.20/0.51 ; Trie-index has 49 entries (54 at peak, 67 added, 18 deleted).
% 0.20/0.51 ; Trie-index has 222 nodes (238 at peak, 358 added, 136 deleted).
% 0.20/0.51 ; Retrieved 1 generalization term in 14 calls.
% 0.20/0.51 ; Retrieved 14 instance terms in 11 calls.
% 0.20/0.51 ; Retrieved 74 unifiable terms in 93 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 2 entries:
% 0.20/0.51 ; 1 with value (4 10) 1 with value (4 20)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.032 seconds of real time
% 0.20/0.51 0.025713 seconds of user run time
% 0.20/0.51 0.006312 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,796,224 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:51:29
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------