%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV255-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 21:32:21 EDT 2022
% Result : Unsatisfiable 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 5 unt; 1 nHn; 5 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 15 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(X,v_xb(X),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,X,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,X,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xb(X)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xb(X)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( ~ c_lessequals(c_plus(X,Y,tc_nat),Z,tc_nat)
| c_lessequals(Y,Z,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
cnf(cls_Nat_Oadd__leE_1,axiom,
( ~ c_lessequals(c_plus(X,Y,tc_nat),Z,tc_nat)
| c_lessequals(X,Z,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
cnf(7,plain,
c_lessequals(X,v_xb(c_plus(Y,X,tc_nat)),tc_nat),
inference('HYPERRESOLVE',[status(thm)],[cls_Nat_Oadd__leE_0,cls_conjecture_0]) ).
cnf(8,plain,
c_lessequals(X,v_xb(c_plus(X,Y,tc_nat)),tc_nat),
inference('HYPERRESOLVE',[status(thm)],[cls_Nat_Oadd__leE_1,cls_conjecture_0]) ).
cnf(14,plain,
c_in(c_Message_Omsg_ONonce(v_xb(c_plus(X,v_xa,tc_nat))),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,7,cls_conjecture_3]) ).
cnf(65,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,14,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV255-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 18:46:55 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T18:46:55
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-14T18:46:55
% 0.22/0.52
% 0.22/0.55 ; Recognized possible right inverse assertion (|c_lessequals| ?X (|v_xb| ?X) |tc_nat|).
% 0.22/0.55
% 0.22/0.55 #||
% 0.22/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.55 % SZS output start Refutation
% See solution above
% 0.22/0.55 ||#
% 0.22/0.55
% 0.22/0.55 ; Summary of computation:
% 0.22/0.55 ; 87 formulas have been input or derived (from 28 formulas).
% 0.22/0.55 ; 65 (75%) were retained. Of these,
% 0.22/0.55 ; 65 (100%) are still being kept.
% 0.22/0.55 ;
% 0.22/0.55 ; Run time in seconds excluding printing time:
% 0.22/0.55 ; 0.002 5% Read assertion file (1 call)
% 0.22/0.55 ; 0.001 3% Assert (6 calls)
% 0.22/0.55 ; 0.003 8% Process new row (78 calls)
% 0.22/0.55 ; 0.003 8% Resolution (54 calls)
% 0.22/0.55 ; 0.001 3% Paramodulation (27 calls)
% 0.22/0.55 ; 0.000 0% Factoring (1 call)
% 0.22/0.55 ; 0.001 3% Condensing (5 calls)
% 0.22/0.55 ; 0.000 0% Forward subsumption (5 calls)
% 0.22/0.55 ; 0.000 0% Backward subsumption (5 calls)
% 0.22/0.55 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.22/0.55 ; 0.004 11% Forward simplification (78 calls)
% 0.22/0.55 ; 0.002 5% Backward simplification (65 calls)
% 0.22/0.55 ; 0.000 0% Ordering (1 call)
% 0.22/0.55 ; 0.001 3% Sortal reasoning (32 calls)
% 0.22/0.55 ; 0.000 0% Purity testing (1 call)
% 0.22/0.55 ; 0.020 53% Other
% 0.22/0.55 ; 0.038 Total
% 0.22/0.55 ; 0.040 Real time
% 0.22/0.55 ;
% 0.22/0.55 ; Term-hash-array has 169 terms in all.
% 0.22/0.55 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.22/0.55 ; Feature-vector-row-index has 57 nodes (57 at peak, 57 added, 0 deleted).
% 0.22/0.55 ; Retrieved 1 possibly forward subsuming row in 5 calls.
% 0.22/0.55 ; Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.22/0.55 ; Path-index has 176 entries (176 at peak, 176 added, 0 deleted).
% 0.22/0.55 ; Path-index has 382 nodes (382 at peak, 382 added, 0 deleted).
% 0.22/0.55 ; Trie-index has 176 entries (176 at peak, 176 added, 0 deleted).
% 0.22/0.55 ; Trie-index has 719 nodes (719 at peak, 719 added, 0 deleted).
% 0.22/0.55 ; Retrieved 102 generalization terms in 76 calls.
% 0.22/0.55 ; Retrieved 66 instance terms in 59 calls.
% 0.22/0.55 ; Retrieved 406 unifiable terms in 293 calls.
% 0.22/0.55 ;
% 0.22/0.55 ; The agenda of rows to process has 1 entry:
% 0.22/0.55 ; 1 with value 14
% 0.22/0.55 ; The agenda of rows to give has 37 entries:
% 0.22/0.55 ; 9 with value (4 19) 8 with value (4 23) 12 with value (4 24)
% 0.22/0.55 ; 8 with value (4 22)
% 0.22/0.55 Evaluation took:
% 0.22/0.55 0.04 seconds of real time
% 0.22/0.55 0.030345 seconds of user run time
% 0.22/0.55 0.010281 seconds of system run time
% 0.22/0.55 0 calls to %EVAL
% 0.22/0.55 0 page faults and
% 0.22/0.55 2,600,232 bytes consed.
% 0.22/0.55 :PROOF-FOUND
% 0.40/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T18:46:55
% 0.40/0.55 :PROOF-FOUND
% 0.40/0.55 *
%------------------------------------------------------------------------------