TSTP Solution File: ALG353-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG353-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 18:00:37 EDT 2022
% Result : Unsatisfiable 0.51s 0.72s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 1 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_complex__Im__i_0,axiom,
c_Complex_OIm(c_Complex_Oii) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__Im__i_0) ).
cnf(cls_CHAINED_0,axiom,
( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(567,plain,
( ~ c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_complex__Im__i_0,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(569,plain,
c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_complex__Im__i_0,theory(equality)]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(571,plain,
c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_complex__Im__i_0,theory(equality)]) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(573,plain,
c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_complex__Im__i_0,theory(equality)]) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(575,plain,
c_lessequals(c_Complex_OIm(c_Complex_Oii),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_complex__Im__i_0,theory(equality)]) ).
cnf(697,plain,
$false,
inference('REWRITE',[status(thm)],[567,571,573,575,569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG353-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 06:45:35 EDT 2022
% 0.12/0.34 % 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 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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 2022-06-09T06:45:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T06:45:35
% 0.46/0.63 WARNING:
% 0.46/0.63 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.63 WARNING:
% 0.46/0.63 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.72
% 0.51/0.72
% 0.51/0.72 #||
% 0.51/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.72 % SZS output start Refutation
% See solution above
% 0.51/0.72 ||#
% 0.51/0.72
% 0.51/0.72 ; Summary of computation:
% 0.51/0.72 ; 811 formulas have been input or derived (from 1 formulas).
% 0.51/0.72 ; 697 (86%) were retained. Of these,
% 0.51/0.72 ; 74 (11%) were simplified or subsumed later,
% 0.51/0.72 ; 623 (89%) are still being kept.
% 0.51/0.72 ;
% 0.51/0.72 ; Run time in seconds excluding printing time:
% 0.51/0.72 ; 0.138 54% Read assertion file (1 call)
% 0.51/0.72 ; 0.013 5% Assert (745 calls)
% 0.51/0.72 ; 0.044 17% Process new row (732 calls)
% 0.51/0.72 ; 0.006 2% Condensing (560 calls)
% 0.51/0.72 ; 0.007 3% Forward subsumption (560 calls)
% 0.51/0.72 ; 0.006 2% Backward subsumption (501 calls)
% 0.51/0.72 ; 0.004 2% Clause clause subsumption (580 calls)
% 0.51/0.72 ; 0.014 5% Forward simplification (728 calls)
% 0.51/0.72 ; 0.003 1% Backward simplification (669 calls)
% 0.51/0.72 ; 0.001 0% Ordering (33 calls)
% 0.51/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.51/0.72 ; 0.001 0% Purity testing (1 call)
% 0.51/0.72 ; 0.018 7% Other
% 0.51/0.72 ; 0.255 Total
% 0.51/0.72 ; 0.257 Real time
% 0.51/0.72 ;
% 0.51/0.72 ; Term-hash-array has 934 terms in all.
% 0.51/0.72 ; Feature-vector-row-index has 466 entries (467 at peak, 501 added, 35 deleted).
% 0.51/0.72 ; Feature-vector-row-index has 1,302 nodes (1,325 at peak, 1,465 added, 163 deleted).
% 0.51/0.72 ; Retrieved 445 possibly forward subsuming rows in 560 calls.
% 0.51/0.72 ; Retrieved 400 possibly backward subsumed rows in 501 calls.
% 0.51/0.72 ; Path-index has 878 entries (878 at peak, 967 added, 89 deleted).
% 0.51/0.72 ; Path-index has 2,763 nodes (2,763 at peak, 2,878 added, 115 deleted).
% 0.51/0.72 ; Trie-index has 878 entries (878 at peak, 967 added, 89 deleted).
% 0.51/0.72 ; Trie-index has 3,209 nodes (3,209 at peak, 3,514 added, 305 deleted).
% 0.51/0.72 ; Retrieved 57 generalization terms in 1,200 calls.
% 0.51/0.72 ; Retrieved 190 instance terms in 167 calls.
% 0.51/0.72 ;
% 0.51/0.72 ; The agenda of backward simplifiable rows to process has 37 entries:
% 0.51/0.72 ; 37 with value 0
% 0.51/0.72 ; The agenda of input rows to give has 622 entries:
% 0.51/0.72 ; 121 with value 3 21 with value 17 1 with value 30
% 0.51/0.72 ; 1 with value 5 39 with value 18 1 with value 31
% 0.51/0.72 ; 1 with value 6 36 with value 19 3 with value 32
% 0.51/0.72 ; 2 with value 7 36 with value 20 5 with value 33
% 0.51/0.72 ; 6 with value 8 27 with value 21 1 with value 34
% 0.51/0.72 ; 7 with value 9 29 with value 22 6 with value 35
% 0.51/0.72 ; 4 with value 10 5 with value 23 1 with value 36
% 0.51/0.72 ; 6 with value 11 22 with value 24 1 with value 37
% 0.51/0.72 ; 9 with value 12 24 with value 25 1 with value 38
% 0.51/0.72 ; 42 with value 13 10 with value 26 14 with value 39
% 0.51/0.72 ; 22 with value 14 70 with value 27 3 with value 42
% 0.51/0.72 ; 21 with value 15 2 with value 28 1 with value 45
% 0.51/0.72 ; 14 with value 16 6 with value 29 1 with value 47
% 0.51/0.72 Evaluation took:
% 0.51/0.72 0.257 seconds of real time
% 0.51/0.72 0.233696 seconds of user run time
% 0.51/0.72 0.023687 seconds of system run time
% 0.51/0.72 [Run times include 0.008 seconds GC run time.]
% 0.51/0.72 0 calls to %EVAL
% 0.51/0.72 0 page faults and
% 0.51/0.72 16,599,616 bytes consed.
% 0.51/0.72 :PROOF-FOUND
% 0.51/0.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:45:35
% 0.51/0.72 :PROOF-FOUND
% 0.51/0.72 *
%------------------------------------------------------------------------------