TSTP Solution File: SET822-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:12:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% 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 : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X,c_emptyset,Y),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_P(v_f(v_b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(v_f(X),Y,tc_IntDef_Oint)
| c_in(v_x(X,Y),Y,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(v_f(X),Y,tc_IntDef_Oint)
| ~ v_P(v_x(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(7,plain,
~ v_P(v_x(X,c_insert(v_f(X),Y,tc_IntDef_Oint))),
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,cls_Set_OinsertCI_1]) ).
cnf(8,plain,
c_in(v_x(X,c_insert(v_f(X),Y,tc_IntDef_Oint)),c_insert(v_f(X),Y,tc_IntDef_Oint),tc_IntDef_Oint),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,cls_Set_OinsertCI_1]) ).
cnf(9,plain,
v_x(X,c_insert(v_f(X),c_emptyset,tc_IntDef_Oint)) = v_f(X),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OinsertE_0,8,cls_Set_OemptyE_0]) ).
cnf(11,plain,
~ v_P(v_f(X)),
inference('PARAMODULATE',[status(thm)],[7,9,theory(equality)]) ).
cnf(12,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 10:41:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:41:52
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T10:41:52
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 19 formulas have been input or derived (from 10 formulas).
% 0.20/0.50 ; 12 (63%) were retained. Of these,
% 0.20/0.50 ; 1 ( 8%) were simplified or subsumed later,
% 0.20/0.50 ; 11 (92%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 4% Assert (6 calls)
% 0.20/0.50 ; 0.000 0% Process new row (15 calls)
% 0.20/0.50 ; 0.002 8% Resolution (18 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (9 calls)
% 0.20/0.50 ; 0.000 0% Condensing (4 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (4 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (4 calls)
% 0.20/0.50 ; 0.001 4% Forward simplification (15 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (12 calls)
% 0.20/0.50 ; 0.000 0% Ordering (6 calls)
% 0.20/0.50 ; 0.001 4% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.019 76% Other
% 0.20/0.50 ; 0.025 Total
% 0.20/0.50 ; 0.029 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 24 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.20/0.50 ; Path-index has 24 entries (27 at peak, 27 added, 3 deleted).
% 0.20/0.50 ; Path-index has 97 nodes (100 at peak, 100 added, 3 deleted).
% 0.20/0.50 ; Trie-index has 24 entries (27 at peak, 27 added, 3 deleted).
% 0.20/0.50 ; Trie-index has 85 nodes (88 at peak, 88 added, 3 deleted).
% 0.20/0.50 ; Retrieved 3 generalization terms in 14 calls.
% 0.20/0.50 ; Retrieved 8 instance terms in 7 calls.
% 0.20/0.50 ; Retrieved 45 unifiable terms in 60 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 3 entries:
% 0.20/0.50 ; 1 with value 10 1 with value 15 1 with value 20
% 0.20/0.50 ; The agenda of rows to give has 2 entries:
% 0.20/0.50 ; 1 with value (4 8) 1 with value (4 30)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.029 seconds of real time
% 0.20/0.50 0.025915 seconds of user run time
% 0.20/0.50 0.002738 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 1,945,192 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:41:52
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------