%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : Wed Jul 20 21:31:29 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 7 unt; 4 nHn; 11 RR)
% Number of literals : 22 ( 3 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(all_related,axiom,
( less_than(X,Y)
| less_than(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',all_related) ).
cnf(x_not_less_than_x,axiom,
~ less_than(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).
cnf(clause_1,negated_conjecture,
~ less_than(n,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
less_than(one,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_3,negated_conjecture,
less_than(a(l),a(predecessor(l))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,negated_conjecture,
( less_than(X,n)
| less_than(n,X)
| ~ less_than(one,n)
| ~ less_than(a(X),a(predecessor(n))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,negated_conjecture,
( ~ less_than(one,X)
| ~ less_than(X,n)
| ~ less_than(a(X),a(predecessor(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(34,plain,
( less_than(l,n)
| n = l ),
inference('HYPERRESOLVE',[status(thm)],[clause_1,all_related]) ).
cnf(51,plain,
~ less_than(l,n),
inference('UR-RESOLVE',[status(thm)],[clause_5,clause_2,clause_3]) ).
cnf(52,plain,
n = l,
inference('REWRITE',[status(thm)],[34,51]) ).
cnf(53,plain,
( less_than(X,l)
| less_than(l,X)
| ~ less_than(a(X),a(predecessor(l))) ),
inference('REWRITE',[status(thm)],[clause_4,clause_2,52,theory(equality)]) ).
cnf(55,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[53,x_not_less_than_x,x_not_less_than_x,clause_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 21:34:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T21:34:54
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T21:34:54
% 0.38/0.54
% 0.38/0.54
% 0.38/0.54 #||
% 0.38/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 281 formulas have been input or derived (from 18 formulas).
% 0.38/0.54 ; 55 (20%) were retained. Of these,
% 0.38/0.54 ; 11 (20%) were simplified or subsumed later,
% 0.38/0.54 ; 44 (80%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.003 6% Read assertion file (1 call)
% 0.38/0.54 ; 0.001 2% Assert (17 calls)
% 0.38/0.54 ; 0.007 13% Process new row (232 calls)
% 0.38/0.54 ; 0.008 15% Resolution (34 calls)
% 0.38/0.54 ; 0.000 0% Paramodulation (17 calls)
% 0.38/0.54 ; 0.000 0% Factoring (1 call)
% 0.38/0.54 ; 0.004 8% Condensing (63 calls)
% 0.38/0.54 ; 0.000 0% Forward subsumption (63 calls)
% 0.38/0.54 ; 0.000 0% Backward subsumption (23 calls)
% 0.38/0.54 ; 0.001 2% Clause clause subsumption (59 calls)
% 0.38/0.54 ; 0.003 6% Forward simplification (222 calls)
% 0.38/0.54 ; 0.002 4% Backward simplification (55 calls)
% 0.38/0.54 ; 0.000 0% Ordering (205 calls)
% 0.38/0.54 ; 0.001 2% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.022 42% Other
% 0.38/0.54 ; 0.052 Total
% 0.38/0.54 ; 0.053 Real time
% 0.38/0.54 ;
% 0.38/0.54 ; Term-hash-array has 85 terms in all.
% 0.38/0.54 ; Feature-vector-row-index has 20 entries (21 at peak, 23 added, 3 deleted).
% 0.38/0.54 ; Feature-vector-row-index has 58 nodes (69 at peak, 85 added, 27 deleted).
% 0.38/0.54 ; Retrieved 75 possibly forward subsuming rows in 63 calls.
% 0.38/0.54 ; Retrieved 2 possibly backward subsumed rows in 23 calls.
% 0.38/0.54 ; Path-index has 73 entries (86 at peak, 92 added, 19 deleted).
% 0.38/0.54 ; Path-index has 85 nodes (95 at peak, 99 added, 14 deleted).
% 0.38/0.54 ; Trie-index has 73 entries (86 at peak, 92 added, 19 deleted).
% 0.38/0.54 ; Trie-index has 128 nodes (146 at peak, 156 added, 28 deleted).
% 0.38/0.54 ; Retrieved 435 generalization terms in 575 calls.
% 0.38/0.54 ; Retrieved 46 instance terms in 31 calls.
% 0.38/0.54 ; Retrieved 1,608 unifiable terms in 190 calls.
% 0.38/0.54 ;
% 0.38/0.54 ; The agenda of rows to process has 3 entries:
% 0.38/0.54 ; 1 with value 5 1 with value 10 1 with value 27
% 0.38/0.54 ; The agenda of input rows to give has 1 entry:
% 0.38/0.54 ; 1 with value 17
% 0.38/0.54 ; The agenda of rows to give has 27 entries:
% 0.38/0.54 ; 3 with value (4 5) 2 with value (4 10) 2 with value (4 15)
% 0.38/0.54 ; 6 with value (4 7) 1 with value (4 11) 2 with value (4 17)
% 0.38/0.54 ; 1 with value (4 8) 1 with value (4 12) 2 with value (4 21)
% 0.38/0.54 ; 2 with value (4 9) 4 with value (4 13) 1 with value (4 23)
% 0.38/0.54 Evaluation took:
% 0.38/0.54 0.055 seconds of real time
% 0.38/0.54 0.046432 seconds of user run time
% 0.38/0.54 0.008114 seconds of system run time
% 0.38/0.54 0 calls to %EVAL
% 0.38/0.54 0 page faults and
% 0.38/0.54 3,275,664 bytes consed.
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T21:34:54
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------