TSTP Solution File: ALG384-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% 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 18:00:41 EDT 2022
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_not__leE_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_HOL_Oord__class_Oless(Y,Z,X)
| c_lessequals(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(cls_norm__le__zero__iff_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| Y = c_HOL_Ozero__class_Ozero(X)
| ~ c_lessequals(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__le__zero__iff_0) ).
cnf(cls_CHAINED_0,axiom,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
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(571,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('UR-RESOLVE',[status(thm)],[cls_not__leE_0,clsarity_RealDef__Oreal__Orderings_Olinorder,cls_conjecture_0]) ).
cnf(839,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_norm__le__zero__iff_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,cls_CHAINED_0]),571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n022.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 12:03:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T12:03:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T12:03:35
% 0.44/0.62 WARNING:
% 0.44/0.62 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 #||
% 0.56/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75 ||#
% 0.56/0.75
% 0.56/0.75 ; Summary of computation:
% 0.56/0.75 ; 2009 formulas have been input or derived (from 254 formulas).
% 0.56/0.75 ; 839 (42%) were retained. Of these,
% 0.56/0.75 ; 20 ( 2%) were simplified or subsumed later,
% 0.56/0.75 ; 819 (98%) are still being kept.
% 0.56/0.75 ;
% 0.56/0.75 ; Run time in seconds:
% 0.56/0.75 ; 0.129 45% Read assertion file (1 call)
% 0.56/0.75 ; 0.011 4% Assert (574 calls)
% 0.56/0.75 ; 0.036 13% Process new row (1,809 calls)
% 0.56/0.75 ; 0.032 11% Resolution (506 calls)
% 0.56/0.75 ; 0.004 1% Paramodulation (253 calls)
% 0.56/0.75 ; 0.000 0% Factoring (4 calls)
% 0.56/0.75 ; 0.004 1% Condensing (696 calls)
% 0.56/0.75 ; 0.009 3% Forward subsumption (696 calls)
% 0.56/0.75 ; 0.007 2% Backward subsumption (477 calls)
% 0.56/0.75 ; 0.004 1% Clause clause subsumption (982 calls)
% 0.56/0.75 ; 0.017 6% Forward simplification (1,807 calls)
% 0.56/0.75 ; 0.002 1% Backward simplification (836 calls)
% 0.56/0.75 ; 0.001 0% Ordering (996 calls)
% 0.56/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.75 ; 0.001 0% Purity testing (1 call)
% 0.56/0.75 ; 0.028 10% Other
% 0.56/0.75 ; 0.285 Total
% 0.56/0.75 ; 0.286 Real time
% 0.56/0.75 ;
% 0.56/0.75 ; Term-hash-array has 1,168 terms in all.
% 0.56/0.75 ; Feature-vector-row-index has 466 entries (466 at peak, 477 added, 11 deleted).
% 0.56/0.75 ; Feature-vector-row-index has 1,504 nodes (1,504 at peak, 1,526 added, 22 deleted).
% 0.56/0.75 ; Retrieved 951 possibly forward subsuming rows in 696 calls.
% 0.56/0.75 ; Retrieved 454 possibly backward subsumed rows in 477 calls.
% 0.56/0.75 ; Path-index has 1,155 entries (1,155 at peak, 1,179 added, 24 deleted).
% 0.56/0.75 ; Path-index has 2,539 nodes (2,539 at peak, 2,567 added, 28 deleted).
% 0.56/0.75 ; Trie-index has 1,155 entries (1,155 at peak, 1,179 added, 24 deleted).
% 0.56/0.75 ; Trie-index has 3,609 nodes (3,609 at peak, 3,695 added, 86 deleted).
% 0.56/0.75 ; Retrieved 1,755 generalization terms in 3,455 calls.
% 0.56/0.75 ; Retrieved 526 instance terms in 384 calls.
% 0.56/0.75 ; Retrieved 38,849 unifiable terms in 2,123 calls.
% 0.56/0.75 ;
% 0.56/0.75 ; The agenda of rows to process has 4 entries:
% 0.56/0.75 ; 1 with value 10 2 with value 16 1 with value 19
% 0.56/0.75 ; The agenda of input rows to give has 252 entries:
% 0.56/0.75 ; 3 with value 18 1 with value 26 1 with value 34
% 0.56/0.75 ; 9 with value 19 68 with value 27 4 with value 35
% 0.56/0.75 ; 6 with value 20 7 with value 28 9 with value 36
% 0.56/0.75 ; 22 with value 21 3 with value 29 5 with value 37
% 0.56/0.75 ; 15 with value 22 26 with value 30 16 with value 38
% 0.56/0.75 ; 3 with value 23 4 with value 31 9 with value 39
% 0.56/0.75 ; 18 with value 24 1 with value 33 9 with value 40
% 0.56/0.75 ; 13 with value 25
% 0.56/0.75 ; The agenda of rows to give has 314 entries:
% 0.56/0.75 ; 2 with value (4 6) 7 with value (4 14) 9 with value (4 20)
% 0.56/0.75 ; 22 with value (4 8) 26 with value (4 15) 4 with value (4 21)
% 0.56/0.75 ; 30 with value (4 9) 14 with value (4 16) 1 with value (4 22)
% 0.56/0.75 ; 40 with value (4 10) 4 with value (4 17) 6 with value (4 23)
% 0.56/0.75 ; 36 with value (4 11) 6 with value (4 18) 5 with value (4 26)
% 0.56/0.75 ; 45 with value (4 12) 10 with value (4 19) 2 with value (4 27)
% 0.56/0.75 ; 45 with value (4 13)
% 0.56/0.75 Evaluation took:
% 0.56/0.75 0.286 seconds of real time
% 0.56/0.75 0.262421 seconds of user run time
% 0.56/0.75 0.024132 seconds of system run time
% 0.56/0.75 [Run times include 0.006 seconds GC run time.]
% 0.56/0.75 0 calls to %EVAL
% 0.56/0.75 0 page faults and
% 0.56/0.75 19,321,400 bytes consed.
% 0.56/0.75 :PROOF-FOUND
% 0.56/0.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T12:03:35
% 0.56/0.75 :PROOF-FOUND
% 0.56/0.75 *
%------------------------------------------------------------------------------