%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 : Tue Jul 19 05:12:23 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 1 nHn; 8 RR)
% Number of literals : 15 ( 2 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X,c_emptyset,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X,c_insert(X,Y,Z),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X,c_insert(Y,Z,U),U)
| c_in(X,Z,U)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_P(v_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(X,Y,tc_IntDef_Oint)
| c_in(v_x(Y),Y,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(X,Y,tc_IntDef_Oint)
| ~ v_P(v_x(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(7,plain,
~ v_P(v_x(c_insert(X,Y,tc_IntDef_Oint))),
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,cls_Set_OinsertCI_1]) ).
cnf(8,plain,
c_in(v_x(c_insert(X,Y,tc_IntDef_Oint)),c_insert(X,Y,tc_IntDef_Oint),tc_IntDef_Oint),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,cls_Set_OinsertCI_1]) ).
cnf(9,plain,
v_x(c_insert(X,c_emptyset,tc_IntDef_Oint)) = X,
inference('UR-RESOLVE',[status(thm)],[cls_Set_OinsertE_0,8,cls_Set_OemptyE_0]) ).
cnf(11,plain,
~ v_P(X),
inference('PARAMODULATE',[status(thm)],[7,9,theory(equality)]) ).
cnf(12,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 9 19:11:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T19:11:25
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-09T19:11:25
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 22 formulas have been input or derived (from 10 formulas).
% 0.21/0.53 ; 12 (55%) were retained. Of these,
% 0.21/0.53 ; 3 (25%) were simplified or subsumed later,
% 0.21/0.53 ; 9 (75%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.001 4% Read assertion file (1 call)
% 0.21/0.53 ; 0.000 0% Assert (6 calls)
% 0.21/0.53 ; 0.001 4% Process new row (17 calls)
% 0.21/0.53 ; 0.001 4% Resolution (18 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (9 calls)
% 0.21/0.53 ; 0.000 0% Condensing (4 calls)
% 0.21/0.53 ; 0.000 0% Forward subsumption (4 calls)
% 0.21/0.53 ; 0.000 0% Backward subsumption (4 calls)
% 0.21/0.53 ; 0.000 0% Forward simplification (17 calls)
% 0.21/0.53 ; 0.000 0% Backward simplification (12 calls)
% 0.21/0.53 ; 0.000 0% Ordering (6 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.023 88% Other
% 0.21/0.53 ; 0.026 Total
% 0.21/0.53 ; 0.029 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 22 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 3 entries (4 at peak, 4 added, 1 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 18 nodes (22 at peak, 22 added, 4 deleted).
% 0.21/0.53 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.21/0.53 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.21/0.53 ; Path-index has 21 entries (25 at peak, 25 added, 4 deleted).
% 0.21/0.53 ; Path-index has 66 nodes (72 at peak, 72 added, 6 deleted).
% 0.21/0.53 ; Trie-index has 21 entries (25 at peak, 25 added, 4 deleted).
% 0.21/0.53 ; Trie-index has 59 nodes (67 at peak, 67 added, 8 deleted).
% 0.21/0.53 ; Retrieved 5 generalization terms in 16 calls.
% 0.21/0.53 ; Retrieved 10 instance terms in 7 calls.
% 0.21/0.53 ; Retrieved 57 unifiable terms in 57 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 3 entries:
% 0.21/0.53 ; 1 with value 7 1 with value 12 1 with value 15
% 0.21/0.53 ; The agenda of rows to give has 2 entries:
% 0.21/0.53 ; 1 with value (4 6) 1 with value (4 23)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.029 seconds of real time
% 0.21/0.53 0.025317 seconds of user run time
% 0.21/0.53 0.003778 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 1,870,560 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T19:11:25
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------