TSTP Solution File: ANA021-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA021-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 19:26:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 6 RR)
% Number of literals : 10 ( 4 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_NatBin_OSuc__pred_H_0,axiom,
( ~ c_less(c_0,X,tc_nat)
| X = c_Suc(c_minus(X,c_1,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).
cnf(cls_Nat_Onot__gr0_0,axiom,
( c_less(c_0,X,tc_nat)
| X = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(X)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
v_x != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(6,plain,
c_less(c_0,v_x,tc_nat),
inference('UR-RESOLVE',[status(thm)],[cls_Nat_Onot__gr0_0,cls_conjecture_3]) ).
cnf(8,plain,
v_x = c_Suc(c_minus(v_x,c_1,tc_nat)),
inference('HYPERRESOLVE',[status(thm)],[cls_NatBin_OSuc__pred_H_0,6]) ).
cnf(9,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_2,8,theory(equality)]),cls_conjecture_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA021-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Fri Jul 8 04:58:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 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 2022-07-08T04:58:30
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-08T04:58:30
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 11 formulas have been input or derived (from 8 formulas).
% 0.19/0.50 ; 9 (82%) were retained. Of these,
% 0.19/0.50 ; 9 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 4% Assert (5 calls)
% 0.19/0.50 ; 0.003 12% Process new row (10 calls)
% 0.19/0.50 ; 0.000 0% Resolution (14 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (7 calls)
% 0.19/0.50 ; 0.000 0% Factoring (1 call)
% 0.19/0.50 ; 0.000 0% Condensing (3 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (10 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (9 calls)
% 0.19/0.50 ; 0.000 0% Ordering (12 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 81% Other
% 0.19/0.50 ; 0.026 Total
% 0.19/0.50 ; 0.028 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 23 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.19/0.50 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.50 ; Path-index has 29 entries (29 at peak, 29 added, 0 deleted).
% 0.19/0.50 ; Path-index has 107 nodes (107 at peak, 107 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 29 entries (29 at peak, 29 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 101 nodes (101 at peak, 101 added, 0 deleted).
% 0.19/0.50 ; Retrieved 1 generalization term in 5 calls.
% 0.19/0.50 ; Retrieved 5 instance terms in 5 calls.
% 0.19/0.50 ; Retrieved 23 unifiable terms in 52 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to give has 1 entry:
% 0.19/0.50 ; 1 with value (4 15)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.028 seconds of real time
% 0.19/0.50 0.021709 seconds of user run time
% 0.19/0.50 0.005913 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,723,416 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:58:30
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------