TSTP Solution File: ALG373-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG373-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 18:00:40 EDT 2022
% Result : Unsatisfiable 0.70s 0.91s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 2 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(Y,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(Y,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(X),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(X),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(X),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_HOL_Oord__class_Oless(v_x(X),X,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(1004,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_CHAINED_0,cls_conjecture_1,cls_conjecture_0,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG373-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 05:29:52 EDT 2022
% 0.12/0.33 % 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 2022-06-09T05:29:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-09T05:29:53
% 0.40/0.58 WARNING:
% 0.40/0.58 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.58 WARNING:
% 0.40/0.58 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.91
% 0.70/0.91
% 0.70/0.91 #||
% 0.70/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.91 % SZS output start Refutation
% See solution above
% 0.70/0.91 ||#
% 0.70/0.91
% 0.70/0.91 ; Summary of computation:
% 0.70/0.91 ; 2988 formulas have been input or derived (from 410 formulas).
% 0.70/0.91 ; 1004 (34%) were retained. Of these,
% 0.70/0.91 ; 23 ( 2%) were simplified or subsumed later,
% 0.70/0.91 ; 981 (98%) are still being kept.
% 0.70/0.91 ;
% 0.70/0.91 ; Run time in seconds excluding printing time:
% 0.70/0.91 ; 0.098 22% Read assertion file (1 call)
% 0.70/0.91 ; 0.009 2% Assert (485 calls)
% 0.70/0.91 ; 0.069 16% Process new row (2,597 calls)
% 0.70/0.91 ; 0.060 14% Resolution (818 calls)
% 0.70/0.91 ; 0.010 2% Paramodulation (409 calls)
% 0.70/0.91 ; 0.000 0% Factoring (3 calls)
% 0.70/0.91 ; 0.013 3% Condensing (1,092 calls)
% 0.70/0.91 ; 0.030 7% Forward subsumption (1,092 calls)
% 0.70/0.91 ; 0.015 3% Backward subsumption (561 calls)
% 0.70/0.91 ; 0.023 5% Clause clause subsumption (2,345 calls)
% 0.70/0.91 ; 0.061 14% Forward simplification (2,593 calls)
% 0.70/0.91 ; 0.007 2% Backward simplification (1,004 calls)
% 0.70/0.91 ; 0.018 4% Ordering (4,466 calls)
% 0.70/0.91 ; 0.000 0% Sortal reasoning (32 calls)
% 0.70/0.91 ; 0.001 0% Purity testing (1 call)
% 0.70/0.91 ; 0.030 7% Other
% 0.70/0.91 ; 0.444 Total
% 0.70/0.91 ; 0.445 Real time
% 0.70/0.91 ;
% 0.70/0.91 ; Term-hash-array has 1,562 terms in all.
% 0.70/0.91 ; Feature-vector-row-index has 555 entries (555 at peak, 561 added, 6 deleted).
% 0.70/0.91 ; Feature-vector-row-index has 1,952 nodes (1,952 at peak, 1,981 added, 29 deleted).
% 0.70/0.91 ; Retrieved 2,855 possibly forward subsuming rows in 1,092 calls.
% 0.70/0.91 ; Retrieved 621 possibly backward subsumed rows in 561 calls.
% 0.70/0.91 ; Path-index has 1,526 entries (1,526 at peak, 1,576 added, 50 deleted).
% 0.70/0.91 ; Path-index has 2,671 nodes (2,671 at peak, 2,727 added, 56 deleted).
% 0.70/0.91 ; Trie-index has 1,526 entries (1,526 at peak, 1,576 added, 50 deleted).
% 0.70/0.91 ; Trie-index has 5,023 nodes (5,023 at peak, 5,265 added, 242 deleted).
% 0.70/0.91 ; Retrieved 5,299 generalization terms in 8,838 calls.
% 0.70/0.91 ; Retrieved 679 instance terms in 487 calls.
% 0.70/0.91 ; Retrieved 77,768 unifiable terms in 3,677 calls.
% 0.70/0.91 ;
% 0.70/0.91 ; The agenda of rows to process has 13 entries:
% 0.70/0.91 ; 1 with value 9 2 with value 18 1 with value 31
% 0.70/0.91 ; 1 with value 10 2 with value 19 1 with value 37
% 0.70/0.91 ; 1 with value 13 1 with value 21 1 with value 39
% 0.70/0.91 ; 1 with value 17 1 with value 29
% 0.70/0.91 ; The agenda of input rows to give has 16 entries:
% 0.70/0.91 ; 3 with value 29 1 with value 34 1 with value 36
% 0.70/0.91 ; 1 with value 30 4 with value 35 6 with value 39
% 0.70/0.91 ; The agenda of rows to give has 556 entries:
% 0.70/0.91 ; 82 with value (4 6) 25 with value (4 17) 10 with value (4 27)
% 0.70/0.91 ; 3 with value (4 8) 13 with value (4 18) 10 with value (4 28)
% 0.70/0.91 ; 5 with value (4 9) 28 with value (4 19) 4 with value (4 29)
% 0.70/0.91 ; 26 with value (4 10) 22 with value (4 20) 17 with value (4 30)
% 0.70/0.91 ; 29 with value (4 11) 8 with value (4 21) 7 with value (4 31)
% 0.70/0.91 ; 16 with value (4 12) 13 with value (4 22) 16 with value (4 32)
% 0.70/0.91 ; 23 with value (4 13) 16 with value (4 23) 27 with value (4 33)
% 0.70/0.91 ; 12 with value (4 14) 22 with value (4 24) 31 with value (4 35)
% 0.70/0.91 ; 16 with value (4 15) 41 with value (4 25) 2 with value (4 37)
% 0.70/0.91 ; 17 with value (4 16) 13 with value (4 26) 2 with value (4 38)
% 0.70/0.91 Evaluation took:
% 0.70/0.91 0.446 seconds of real time
% 0.70/0.91 0.410874 seconds of user run time
% 0.70/0.91 0.035372 seconds of system run time
% 0.70/0.91 [Run times include 0.017 seconds GC run time.]
% 0.70/0.91 0 calls to %EVAL
% 0.70/0.91 0 page faults and
% 0.70/0.91 27,451,200 bytes consed.
% 0.70/0.91 :PROOF-FOUND
% 0.70/0.91 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T05:29:53
% 0.70/0.91 :PROOF-FOUND
% 0.70/0.91 *
%------------------------------------------------------------------------------