TSTP Solution File: ALG406-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG406-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 18:00:44 EDT 2022
% Result : Unsatisfiable 1.20s 1.43s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 1 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_t_I1_J_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I1_J_0) ).
cnf(cls_real__less__def_0,axiom,
( c_lessequals(X,Y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_0) ).
cnf(cls_norm__ge__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(Y,X),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
cnf(cls_t_I2_J_0,axiom,
c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I2_J_0) ).
cnf(cls_mult__left__le__one__le_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| c_lessequals(c_HOL_Otimes__class_Otimes(Y,Z,X),Z,X)
| ~ c_lessequals(Y,c_HOL_Oone__class_Oone(X),X)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X),Y,X)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).
cnf(cls_real__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(492,plain,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_real__mult__1_0,theory(equality)]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
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(617,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_real__less__def_0,cls_t_I1_J_0]) ).
cnf(618,plain,
c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_real__less__def_0,cls_t_I2_J_0]) ).
cnf(649,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_norm__ge__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(1670,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_mult__left__le__one__le_0,618,clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,492,617]),649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG406-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.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 : Tue Jun 7 23:15:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T23:15:35
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-07T23:15:35
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.20/1.43
% 1.20/1.43
% 1.20/1.43 #||
% 1.20/1.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.43 % SZS output start Refutation
% See solution above
% 1.20/1.44 ||#
% 1.20/1.44
% 1.20/1.44 ; Summary of computation:
% 1.20/1.44 ; 6868 formulas have been input or derived (from 611 formulas).
% 1.20/1.44 ; 1670 (24%) were retained. Of these,
% 1.20/1.44 ; 52 ( 3%) were simplified or subsumed later,
% 1.20/1.44 ; 1618 (97%) are still being kept.
% 1.20/1.44 ;
% 1.20/1.44 ; Run time in seconds excluding printing time:
% 1.20/1.44 ; 0.130 13% Read assertion file (1 call)
% 1.20/1.44 ; 0.011 1% Assert (678 calls)
% 1.20/1.44 ; 0.129 13% Process new row (5,480 calls)
% 1.20/1.44 ; 0.237 24% Resolution (1,220 calls)
% 1.20/1.44 ; 0.018 2% Paramodulation (610 calls)
% 1.20/1.44 ; 0.000 0% Factoring (2 calls)
% 1.20/1.44 ; 0.039 4% Condensing (2,821 calls)
% 1.20/1.44 ; 0.120 12% Forward subsumption (2,821 calls)
% 1.20/1.44 ; 0.022 2% Backward subsumption (1,086 calls)
% 1.20/1.44 ; 0.038 4% Clause clause subsumption (7,443 calls)
% 1.20/1.44 ; 0.147 15% Forward simplification (5,476 calls)
% 1.20/1.44 ; 0.009 1% Backward simplification (1,669 calls)
% 1.20/1.44 ; 0.023 2% Ordering (12,727 calls)
% 1.20/1.44 ; 0.000 0% Sortal reasoning (32 calls)
% 1.20/1.44 ; 0.002 0% Purity testing (1 call)
% 1.20/1.44 ; 0.049 5% Other
% 1.20/1.44 ; 0.974 Total
% 1.20/1.44 ; 0.981 Real time
% 1.20/1.44 ;
% 1.20/1.44 ; Term-hash-array has 2,717 terms in all.
% 1.20/1.44 ; Feature-vector-row-index has 1,059 entries (1,059 at peak, 1,086 added, 27 deleted).
% 1.20/1.44 ; Feature-vector-row-index has 3,978 nodes (3,978 at peak, 4,097 added, 119 deleted).
% 1.20/1.44 ; Retrieved 17,566 possibly forward subsuming rows in 2,821 calls.
% 1.20/1.44 ; Retrieved 1,154 possibly backward subsumed rows in 1,086 calls.
% 1.20/1.44 ; Path-index has 2,653 entries (2,653 at peak, 2,758 added, 105 deleted).
% 1.20/1.44 ; Path-index has 3,815 nodes (3,815 at peak, 3,890 added, 75 deleted).
% 1.20/1.44 ; Trie-index has 2,653 entries (2,653 at peak, 2,758 added, 105 deleted).
% 1.20/1.44 ; Trie-index has 9,813 nodes (9,813 at peak, 10,323 added, 510 deleted).
% 1.20/1.44 ; Retrieved 15,164 generalization terms in 23,716 calls.
% 1.20/1.44 ; Retrieved 917 instance terms in 640 calls.
% 1.20/1.44 ; Retrieved 373,549 unifiable terms in 9,214 calls.
% 1.20/1.44 ;
% 1.20/1.44 ; The agenda of rows to process has 373 entries:
% 1.20/1.44 ; 2 with value 11 3 with value 22 24 with value 33
% 1.20/1.44 ; 1 with value 12 21 with value 23 10 with value 34
% 1.20/1.44 ; 6 with value 13 34 with value 24 33 with value 35
% 1.20/1.44 ; 24 with value 14 17 with value 25 8 with value 36
% 1.20/1.44 ; 5 with value 15 17 with value 26 2 with value 38
% 1.20/1.44 ; 22 with value 16 2 with value 27 1 with value 39
% 1.20/1.44 ; 34 with value 17 29 with value 28 3 with value 42
% 1.20/1.44 ; 24 with value 18 4 with value 29 1 with value 43
% 1.20/1.44 ; 4 with value 19 2 with value 30 2 with value 45
% 1.20/1.44 ; 5 with value 20 13 with value 31 1 with value 46
% 1.20/1.44 ; 12 with value 21 7 with value 32
% 1.20/1.44 ; The agenda of rows to give has 1009 entries:
% 1.20/1.44 ; 6 with value (4 8) 32 with value (4 23) 7 with value (4 38)
% 1.20/1.44 ; 14 with value (4 9) 53 with value (4 24) 10 with value (4 39)
% 1.20/1.44 ; 31 with value (4 10) 54 with value (4 25) 4 with value (4 40)
% 1.20/1.44 ; 53 with value (4 11) 29 with value (4 26) 3 with value (4 41)
% 1.20/1.44 ; 30 with value (4 12) 11 with value (4 27) 8 with value (4 42)
% 1.20/1.44 ; 27 with value (4 13) 19 with value (4 28) 1 with value (4 43)
% 1.20/1.44 ; 31 with value (4 14) 24 with value (4 29) 5 with value (4 44)
% 1.20/1.44 ; 36 with value (4 15) 25 with value (4 30) 4 with value (4 45)
% 1.20/1.44 ; 43 with value (4 16) 48 with value (4 31) 2 with value (4 46)
% 1.20/1.44 ; 41 with value (4 17) 25 with value (4 32) 2 with value (4 47)
% 1.20/1.44 ; 35 with value (4 18) 34 with value (4 33) 4 with value (4 48)
% 1.20/1.44 ; 59 with value (4 19) 9 with value (4 34) 3 with value (4 49)
% 1.20/1.44 ; 62 with value (4 20) 48 with value (4 35) 1 with value (4 50)
% 1.20/1.44 ; 21 with value (4 21) 6 with value (4 36) 4 with value (4 51)
% 1.20/1.44 ; 36 with value (4 22) 8 with value (4 37) 1 with value (4 52)
% 1.20/1.44 Evaluation took:
% 1.20/1.44 0.981 seconds of real time
% 1.20/1.44 0.905459 seconds of user run time
% 1.20/1.44 0.075886 seconds of system run time
% 1.20/1.44 [Run times include 0.059 seconds GC run time.]
% 1.20/1.44 0 calls to %EVAL
% 1.20/1.44 0 page faults and
% 1.20/1.44 75,834,096 bytes consed.
% 1.20/1.44 :PROOF-FOUND
% 1.20/1.44 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T23:15:35
% 1.20/1.44 :PROOF-FOUND
% 1.20/1.44 *
%------------------------------------------------------------------------------