TSTP Solution File: SET865-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:13:00 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 23 ( 3 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( c_in(c_Union(X,t_a),v_S,tc_set(t_a))
| ~ c_in(X,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_in(v_x(X),v_S,tc_set(t_a))
| ~ c_in(X,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_lessequals(X,v_x(X),tc_set(t_a))
| ~ c_in(X,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( X != v_x(X)
| ~ c_in(X,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(Y,U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Zorn_OHausdorff_0,axiom,
c_in(c_Zorn_OHausdorff__1(X,Y),c_Zorn_Omaxchain(X,Y),tc_set(tc_set(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( ~ c_in(X,Y,tc_set(Z))
| ~ c_in(U,c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(Z)))
| ~ c_lessequals(c_Union(U,Z),X,tc_set(Z))
| c_Union(U,Z) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
c_lessequals(c_Zorn_Omaxchain(X,Y),c_Zorn_Ochain(X,Y),tc_set(tc_set(tc_set(Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
cnf(9,plain,
c_in(c_Zorn_OHausdorff__1(X,Y),c_Zorn_Ochain(X,Y),tc_set(tc_set(Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetD_0,cls_Zorn_OHausdorff_0,cls_Zorn_Omaxchain__subset__chain_0]) ).
cnf(10,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_0,9]) ).
cnf(11,plain,
c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,10]) ).
cnf(12,plain,
c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) != v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_3,10]) ).
cnf(13,plain,
c_lessequals(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,10]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Omaxchain__Zorn_0,12,11,cls_Zorn_OHausdorff_0]),13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jul 9 17:40:43 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T17:40:43
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-09T17:40:43
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 #||
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 % 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 ; 23 formulas have been input or derived (from 13 formulas).
% 0.20/0.50 ; 17 (74%) were retained. Of these,
% 0.20/0.50 ; 17 (100%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (8 calls)
% 0.20/0.50 ; 0.002 7% Process new row (17 calls)
% 0.20/0.50 ; 0.001 4% Resolution (24 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (12 calls)
% 0.20/0.50 ; 0.000 0% Condensing (6 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (6 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (6 calls)
% 0.20/0.50 ; 0.001 4% Forward simplification (17 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (17 calls)
% 0.20/0.50 ; 0.000 0% Ordering (1 call)
% 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 ; 0.021 75% Other
% 0.20/0.50 ; 0.028 Total
% 0.20/0.50 ; 0.031 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 42 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 57 nodes (57 at peak, 57 added, 0 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.50 ; Path-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.20/0.50 ; Path-index has 222 nodes (222 at peak, 222 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 199 nodes (199 at peak, 199 added, 0 deleted).
% 0.20/0.50 ; Retrieved 1 generalization term in 10 calls.
% 0.20/0.50 ; Retrieved 10 instance terms in 10 calls.
% 0.20/0.50 ; Retrieved 176 unifiable terms in 139 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to give has 4 entries:
% 0.20/0.50 ; 1 with value (4 20) 1 with value (4 23) 1 with value (4 25)
% 0.20/0.50 ; 1 with value (4 21)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.031 seconds of real time
% 0.20/0.50 0.026458 seconds of user run time
% 0.20/0.50 0.005048 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 2,534,240 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T17:40:44
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------