%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG395-1 : 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 18:00:43 EDT 2022
% Result : Unsatisfiable 0.77s 0.99s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X,v_sko__CHAINED__1(X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(635,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0]) ).
cnf(1584,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[635,cls_CHAINED_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG395-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n025.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 16:44:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-08T16:44:20
% 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 2022-06-08T16:44:20
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Orderings_Obot| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Orderings_Otop| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Lattices_Obounded__lattice| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.99
% 0.77/0.99
% 0.77/0.99 #||
% 0.77/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.99 % SZS output start Refutation
% See solution above
% 0.77/0.99 ||#
% 0.77/0.99
% 0.77/0.99 ; Summary of computation:
% 0.77/0.99 ; 3694 formulas have been input or derived (from 504 formulas).
% 0.77/0.99 ; 1584 (43%) were retained. Of these,
% 0.77/0.99 ; 119 ( 8%) were simplified or subsumed later,
% 0.77/0.99 ; 1465 (92%) are still being kept.
% 0.77/0.99 ;
% 0.77/0.99 ; Run time in seconds:
% 0.77/0.99 ; 0.146 28% Read assertion file (1 call)
% 0.77/0.99 ; 0.015 3% Assert (899 calls)
% 0.77/0.99 ; 0.108 21% Process new row (3,234 calls)
% 0.77/0.99 ; 0.079 15% Resolution (1,006 calls)
% 0.77/0.99 ; 0.007 1% Paramodulation (503 calls)
% 0.77/0.99 ; 0.000 0% Factoring (3 calls)
% 0.77/0.99 ; 0.011 2% Condensing (1,280 calls)
% 0.77/0.99 ; 0.011 2% Forward subsumption (1,280 calls)
% 0.77/0.99 ; 0.007 1% Backward subsumption (872 calls)
% 0.77/0.99 ; 0.010 2% Clause clause subsumption (1,497 calls)
% 0.77/0.99 ; 0.064 12% Forward simplification (3,187 calls)
% 0.77/0.99 ; 0.015 3% Backward simplification (1,580 calls)
% 0.77/0.99 ; 0.009 2% Ordering (2,400 calls)
% 0.77/0.99 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.99 ; 0.002 0% Purity testing (1 call)
% 0.77/0.99 ; 0.042 8% Other
% 0.77/0.99 ; 0.526 Total
% 0.77/0.99 ; 0.526 Real time
% 0.77/0.99 ;
% 0.77/0.99 ; Term-hash-array has 2,497 terms in all.
% 0.77/0.99 ; Feature-vector-row-index has 842 entries (842 at peak, 872 added, 30 deleted).
% 0.77/0.99 ; Feature-vector-row-index has 2,621 nodes (2,621 at peak, 2,792 added, 171 deleted).
% 0.77/0.99 ; Retrieved 1,633 possibly forward subsuming rows in 1,280 calls.
% 0.77/0.99 ; Retrieved 707 possibly backward subsumed rows in 872 calls.
% 0.77/0.99 ; Path-index has 2,281 entries (2,281 at peak, 2,549 added, 268 deleted).
% 0.77/0.99 ; Path-index has 7,729 nodes (7,729 at peak, 8,426 added, 697 deleted).
% 0.77/0.99 ; Trie-index has 2,281 entries (2,281 at peak, 2,549 added, 268 deleted).
% 0.77/0.99 ; Trie-index has 10,126 nodes (10,126 at peak, 12,086 added, 1,960 deleted).
% 0.77/0.99 ; Retrieved 4,692 generalization terms in 10,380 calls.
% 0.77/0.99 ; Retrieved 1,017 instance terms in 754 calls.
% 0.77/0.99 ; Retrieved 107,388 unifiable terms in 3,888 calls.
% 0.77/0.99 ;
% 0.77/0.99 ; The agenda of rows to process has 50 entries:
% 0.77/0.99 ; 2 with value 4 7 with value 24 2 with value 28
% 0.77/0.99 ; 6 with value 20 4 with value 25 2 with value 29
% 0.77/0.99 ; 10 with value 21 4 with value 26 2 with value 31
% 0.77/0.99 ; 11 with value 23
% 0.77/0.99 ; The agenda of input rows to give has 277 entries:
% 0.77/0.99 ; 4 with value 20 70 with value 27 2 with value 34
% 0.77/0.99 ; 50 with value 21 1 with value 28 6 with value 35
% 0.77/0.99 ; 26 with value 22 2 with value 29 2 with value 36
% 0.77/0.99 ; 2 with value 23 2 with value 30 1 with value 37
% 0.77/0.99 ; 50 with value 24 1 with value 31 2 with value 38
% 0.77/0.99 ; 23 with value 25 3 with value 32 15 with value 39
% 0.77/0.99 ; 13 with value 26 1 with value 33 1 with value 47
% 0.77/0.99 ; The agenda of rows to give has 692 entries:
% 0.77/0.99 ; 77 with value (4 6) 40 with value (4 18) 6 with value (4 28)
% 0.77/0.99 ; 8 with value (4 9) 59 with value (4 19) 4 with value (4 29)
% 0.77/0.99 ; 28 with value (4 10) 55 with value (4 20) 3 with value (4 30)
% 0.77/0.99 ; 16 with value (4 11) 29 with value (4 21) 4 with value (4 31)
% 0.77/0.99 ; 19 with value (4 12) 24 with value (4 22) 1 with value (4 32)
% 0.77/0.99 ; 30 with value (4 13) 23 with value (4 23) 1 with value (4 33)
% 0.77/0.99 ; 75 with value (4 14) 15 with value (4 24) 4 with value (4 35)
% 0.77/0.99 ; 44 with value (4 15) 13 with value (4 25) 1 with value (4 38)
% 0.77/0.99 ; 50 with value (4 16) 10 with value (4 26) 2 with value (4 40)
% 0.77/0.99 ; 43 with value (4 17) 8 with value (4 27)
% 0.77/0.99 Evaluation took:
% 0.77/0.99 0.527 seconds of real time
% 0.77/0.99 0.497717 seconds of user run time
% 0.77/0.99 0.029123 seconds of system run time
% 0.77/0.99 [Run times include 0.022 seconds GC run time.]
% 0.77/0.99 0 calls to %EVAL
% 0.77/0.99 0 page faults and
% 0.77/0.99 35,534,560 bytes consed.
% 0.77/0.99 :PROOF-FOUND
% 0.77/0.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T16:44:20
% 0.77/0.99 :PROOF-FOUND
% 0.77/0.99 *
%------------------------------------------------------------------------------