%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM228-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Mon Jul 18 14:07:11 EDT 2022
% Result : Unsatisfiable 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 5 RR)
% Number of literals : 8 ( 2 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(recursion_equation_functions1,axiom,
( ~ member(X,recursion_equation_functions(Y))
| function(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',recursion_equation_functions1) ).
cnf(prove_corollary_1,negated_conjecture,
~ function(z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1) ).
cnf(prove_corollary_2,negated_conjecture,
recursion_equation_functions(z) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2) ).
cnf(202,plain,
~ member(X,recursion_equation_functions(z)),
inference('UR-RESOLVE',[status(thm)],[recursion_equation_functions1,prove_corollary_1]) ).
cnf(213,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[regularity1,prove_corollary_2]),202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM228-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 Jul 7 07:38:44 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 *
% 0.19/0.46 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 2022-07-07T07:38:44
% 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 2022-07-07T07:38:44
% 0.39/0.56
% 0.39/0.56
% 0.39/0.56 #||
% 0.39/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 247 formulas have been input or derived (from 41 formulas).
% 0.39/0.56 ; 213 (86%) were retained. Of these,
% 0.39/0.56 ; 35 (16%) were simplified or subsumed later,
% 0.39/0.56 ; 178 (84%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds excluding printing time:
% 0.39/0.56 ; 0.031 34% Read assertion file (1 call)
% 0.39/0.56 ; 0.005 5% Assert (160 calls)
% 0.39/0.56 ; 0.018 20% Process new row (200 calls)
% 0.39/0.56 ; 0.001 1% Resolution (80 calls)
% 0.39/0.56 ; 0.003 3% Paramodulation (40 calls)
% 0.39/0.56 ; 0.000 0% Factoring (1 call)
% 0.39/0.56 ; 0.003 3% Condensing (113 calls)
% 0.39/0.56 ; 0.001 1% Forward subsumption (113 calls)
% 0.39/0.56 ; 0.002 2% Backward subsumption (112 calls)
% 0.39/0.56 ; 0.000 0% Clause clause subsumption (36 calls)
% 0.39/0.56 ; 0.007 8% Forward simplification (200 calls)
% 0.39/0.56 ; 0.000 0% Backward simplification (179 calls)
% 0.39/0.56 ; 0.000 0% Ordering (58 calls)
% 0.39/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.56 ; 0.000 0% Purity testing (1 call)
% 0.39/0.56 ; 0.020 22% Other
% 0.39/0.56 ; 0.091 Total
% 0.39/0.56 ; 0.093 Real time
% 0.39/0.56 ;
% 0.39/0.56 ; Term-hash-array has 446 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 112 entries (112 at peak, 112 added, 0 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 561 nodes (561 at peak, 561 added, 0 deleted).
% 0.39/0.56 ; Retrieved 40 possibly forward subsuming rows in 113 calls.
% 0.39/0.56 ; Retrieved 6 possibly backward subsumed rows in 112 calls.
% 0.39/0.56 ; Path-index has 464 entries (464 at peak, 465 added, 1 deleted).
% 0.39/0.56 ; Path-index has 1,621 nodes (1,621 at peak, 1,622 added, 1 deleted).
% 0.39/0.56 ; Trie-index has 464 entries (464 at peak, 465 added, 1 deleted).
% 0.39/0.56 ; Trie-index has 1,351 nodes (1,351 at peak, 1,352 added, 1 deleted).
% 0.39/0.56 ; Retrieved 93 generalization terms in 469 calls.
% 0.39/0.56 ; Retrieved 106 instance terms in 69 calls.
% 0.39/0.56 ; Retrieved 951 unifiable terms in 191 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of rows to process has 4 entries:
% 0.39/0.56 ; 1 with value 11 2 with value 13 1 with value 14
% 0.39/0.56 ; The agenda of input rows to give has 119 entries:
% 0.39/0.56 ; 6 with value 10 7 with value 18 2 with value 27
% 0.39/0.56 ; 11 with value 11 3 with value 19 2 with value 30
% 0.39/0.56 ; 9 with value 12 6 with value 20 2 with value 31
% 0.39/0.56 ; 15 with value 13 4 with value 21 1 with value 33
% 0.39/0.56 ; 8 with value 14 5 with value 22 1 with value 34
% 0.39/0.56 ; 15 with value 15 2 with value 24 2 with value 35
% 0.39/0.56 ; 4 with value 16 3 with value 25 1 with value 50
% 0.39/0.56 ; 8 with value 17 2 with value 26
% 0.39/0.56 ; The agenda of rows to give has 18 entries:
% 0.39/0.56 ; 2 with value (4 4) 6 with value (4 7) 1 with value (4 9)
% 0.39/0.56 ; 2 with value (4 5) 2 with value (4 8) 3 with value (4 10)
% 0.39/0.56 ; 2 with value (4 6)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.094 seconds of real time
% 0.39/0.56 0.081634 seconds of user run time
% 0.39/0.56 0.011867 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 4,532,256 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T07:38:44
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------