TSTP Solution File: ALG371-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG371-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 18:00:39 EDT 2022
% Result : Unsatisfiable 0.48s 0.70s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_xt1_I7_J_0,axiom,
( ~ class_Orderings_Oorder(X)
| c_HOL_Oord__class_Oless(Y,Z,X)
| ~ c_lessequals(Y,U,X)
| ~ c_HOL_Oord__class_Oless(U,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_norm__not__less__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(Y,X),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__not__less__zero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(456,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('UR-RESOLVE',[status(thm)],[cls_norm__not__less__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(511,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_xt1_I7_J_0,clsarity_RealDef__Oreal__Orderings_Oorder,cls_conjecture_1,cls_conjecture_0]),456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG371-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.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 : Wed Jun 8 09:25:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T09:25:07
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-08T09:25:07
% 0.42/0.61 WARNING:
% 0.42/0.61 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 #||
% 0.48/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.70 % SZS output start Refutation
% See solution above
% 0.48/0.70 ||#
% 0.48/0.70
% 0.48/0.70 ; Summary of computation:
% 0.48/0.70 ; 885 formulas have been input or derived (from 156 formulas).
% 0.48/0.70 ; 511 (58%) were retained. Of these,
% 0.48/0.70 ; 12 ( 2%) were simplified or subsumed later,
% 0.48/0.70 ; 499 (98%) are still being kept.
% 0.48/0.70 ;
% 0.48/0.70 ; Run time in seconds excluding printing time:
% 0.48/0.70 ; 0.124 51% Read assertion file (1 call)
% 0.48/0.70 ; 0.009 4% Assert (504 calls)
% 0.48/0.70 ; 0.023 9% Process new row (764 calls)
% 0.48/0.70 ; 0.021 9% Resolution (310 calls)
% 0.48/0.70 ; 0.002 1% Paramodulation (155 calls)
% 0.48/0.70 ; 0.000 0% Factoring (3 calls)
% 0.48/0.70 ; 0.008 3% Condensing (453 calls)
% 0.48/0.70 ; 0.011 5% Forward subsumption (453 calls)
% 0.48/0.70 ; 0.004 2% Backward subsumption (376 calls)
% 0.48/0.70 ; 0.003 1% Clause clause subsumption (778 calls)
% 0.48/0.70 ; 0.012 5% Forward simplification (762 calls)
% 0.48/0.70 ; 0.002 1% Backward simplification (511 calls)
% 0.48/0.70 ; 0.001 0% Ordering (470 calls)
% 0.48/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.70 ; 0.001 0% Purity testing (1 call)
% 0.48/0.70 ; 0.022 9% Other
% 0.48/0.70 ; 0.243 Total
% 0.48/0.70 ; 0.244 Real time
% 0.48/0.70 ;
% 0.48/0.70 ; Term-hash-array has 627 terms in all.
% 0.48/0.70 ; Feature-vector-row-index has 367 entries (367 at peak, 376 added, 9 deleted).
% 0.48/0.70 ; Feature-vector-row-index has 1,046 nodes (1,046 at peak, 1,062 added, 16 deleted).
% 0.48/0.70 ; Retrieved 506 possibly forward subsuming rows in 453 calls.
% 0.48/0.70 ; Retrieved 443 possibly backward subsumed rows in 376 calls.
% 0.48/0.70 ; Path-index has 620 entries (620 at peak, 643 added, 23 deleted).
% 0.48/0.70 ; Path-index has 1,321 nodes (1,321 at peak, 1,344 added, 23 deleted).
% 0.48/0.70 ; Trie-index has 620 entries (620 at peak, 643 added, 23 deleted).
% 0.48/0.70 ; Trie-index has 1,841 nodes (1,841 at peak, 1,906 added, 65 deleted).
% 0.48/0.70 ; Retrieved 428 generalization terms in 924 calls.
% 0.48/0.70 ; Retrieved 216 instance terms in 152 calls.
% 0.48/0.70 ; Retrieved 11,141 unifiable terms in 933 calls.
% 0.48/0.70 ;
% 0.48/0.70 ; The agenda of rows to process has 16 entries:
% 0.48/0.70 ; 3 with value 10 2 with value 16 2 with value 20
% 0.48/0.70 ; 2 with value 13 2 with value 17 2 with value 23
% 0.48/0.70 ; 3 with value 15
% 0.48/0.70 ; The agenda of input rows to give has 286 entries:
% 0.48/0.70 ; 9 with value 18 7 with value 26 4 with value 34
% 0.48/0.70 ; 5 with value 19 83 with value 27 8 with value 36
% 0.48/0.70 ; 31 with value 20 4 with value 28 5 with value 37
% 0.48/0.70 ; 20 with value 21 2 with value 29 17 with value 38
% 0.48/0.70 ; 2 with value 22 28 with value 30 9 with value 39
% 0.48/0.70 ; 1 with value 23 5 with value 31 9 with value 40
% 0.48/0.70 ; 23 with value 24 2 with value 32 1 with value 46
% 0.48/0.70 ; 11 with value 25
% 0.48/0.70 ; The agenda of rows to give has 58 entries:
% 0.48/0.70 ; 3 with value (4 8) 2 with value (4 13) 4 with value (4 19)
% 0.48/0.70 ; 4 with value (4 9) 1 with value (4 14) 1 with value (4 21)
% 0.48/0.70 ; 7 with value (4 10) 3 with value (4 15) 5 with value (4 26)
% 0.48/0.70 ; 12 with value (4 11) 2 with value (4 16) 2 with value (4 27)
% 0.48/0.70 ; 11 with value (4 12) 1 with value (4 18)
% 0.48/0.70 Evaluation took:
% 0.48/0.70 0.244 seconds of real time
% 0.48/0.70 0.230214 seconds of user run time
% 0.48/0.70 0.013926 seconds of system run time
% 0.48/0.70 [Run times include 0.009 seconds GC run time.]
% 0.48/0.70 0 calls to %EVAL
% 0.48/0.70 0 page faults and
% 0.48/0.70 14,080,320 bytes consed.
% 0.48/0.70 :PROOF-FOUND
% 0.48/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T09:25:07
% 0.48/0.70 :PROOF-FOUND
% 0.48/0.70 *
%------------------------------------------------------------------------------