TSTP Solution File: SET847-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET847-2 : 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 : Tue Jul 19 05:12:43 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 12 unt; 2 nHn; 10 RR)
% Number of literals : 28 ( 5 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_ODiffI_0,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,U,Z)
| c_in(X,c_minus(Y,U,tc_set(Z)),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
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_Oempty__subsetI_0,axiom,
c_lessequals(c_emptyset,X,tc_set(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(Y,X,tc_set(Z))
| Y = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(tc_set(Z))))
| c_in(c_Union(X,tc_set(Z)),c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(cls_Zorn_OTFin__chain__lemma4_0,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_in(X,c_Zorn_Ochain(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
( ~ c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_Zorn_OTFin(X,Y),tc_set(tc_set(Y)))
| c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)) = c_Zorn_Osucc(X,c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
cnf(cls_Zorn_Osucc__not__equals_0,axiom,
( ~ c_in(X,c_minus(c_Zorn_Ochain(Y,Z),c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(tc_set(Z)))),tc_set(tc_set(Z)))
| c_Zorn_Osucc(Y,X,Z) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(X,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(12,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X,tc_set(tc_set(tc_set(t_a)))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_0,cls_conjecture_0]) ).
cnf(16,plain,
c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_Zorn_OTFin(X,Y),tc_set(tc_set(Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).
cnf(17,plain,
c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)) = c_Zorn_Osucc(X,c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),Y),
inference('REWRITE',[status(thm)],[cls_Zorn_Oequal__succ__Union_1,16]) ).
cnf(19,plain,
~ c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_minus(c_Zorn_Ochain(X,Y),c_Zorn_Omaxchain(X,Y),tc_set(tc_set(tc_set(Y)))),tc_set(tc_set(Y))),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Osucc__not__equals_0,17]) ).
cnf(20,plain,
c_emptyset = c_Zorn_Omaxchain(v_S,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,12,cls_Set_Oempty__subsetI_0]) ).
cnf(29,plain,
c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_Zorn_Ochain(X,Y),tc_set(tc_set(Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__chain__lemma4_0,16]) ).
cnf(32,plain,
c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_minus(c_Zorn_Ochain(X,Y),c_emptyset,tc_set(tc_set(tc_set(Y)))),tc_set(tc_set(Y))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_ODiffI_0,29,cls_Set_OemptyE_0]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,20,theory(equality)]),32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET847-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Sat Jul 9 21:45:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:45:44
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-09T21:45:44
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 90 formulas have been input or derived (from 24 formulas).
% 0.18/0.51 ; 43 (48%) were retained. Of these,
% 0.18/0.51 ; 3 ( 7%) were simplified or subsumed later,
% 0.18/0.51 ; 40 (93%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.003 7% Read assertion file (1 call)
% 0.18/0.51 ; 0.000 0% Assert (11 calls)
% 0.18/0.51 ; 0.005 12% Process new row (66 calls)
% 0.18/0.51 ; 0.006 15% Resolution (46 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (23 calls)
% 0.18/0.51 ; 0.000 0% Factoring (3 calls)
% 0.18/0.51 ; 0.000 0% Condensing (27 calls)
% 0.18/0.51 ; 0.002 5% Forward subsumption (27 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (22 calls)
% 0.18/0.51 ; 0.001 2% Clause clause subsumption (11 calls)
% 0.18/0.51 ; 0.003 7% Forward simplification (63 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (43 calls)
% 0.18/0.51 ; 0.000 0% Ordering (44 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.021 51% Other
% 0.18/0.51 ; 0.041 Total
% 0.18/0.51 ; 0.044 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 113 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 21 entries (21 at peak, 22 added, 1 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 172 nodes (172 at peak, 190 added, 18 deleted).
% 0.18/0.51 ; Retrieved 13 possibly forward subsuming rows in 27 calls.
% 0.18/0.51 ; Retrieved 0 possibly backward subsumed rows in 22 calls.
% 0.18/0.51 ; Path-index has 114 entries (114 at peak, 121 added, 7 deleted).
% 0.18/0.51 ; Path-index has 304 nodes (304 at peak, 322 added, 18 deleted).
% 0.18/0.51 ; Trie-index has 114 entries (114 at peak, 121 added, 7 deleted).
% 0.18/0.51 ; Trie-index has 532 nodes (532 at peak, 571 added, 39 deleted).
% 0.18/0.51 ; Retrieved 7 generalization terms in 72 calls.
% 0.18/0.51 ; Retrieved 23 instance terms in 20 calls.
% 0.18/0.51 ; Retrieved 392 unifiable terms in 233 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 3 entries:
% 0.18/0.51 ; 1 with value 37 1 with value 38 1 with value 44
% 0.18/0.51 ; The agenda of rows to give has 18 entries:
% 0.18/0.51 ; 1 with value (4 19) 1 with value (4 33) 1 with value (4 40)
% 0.18/0.51 ; 1 with value (4 27) 1 with value (4 34) 1 with value (4 41)
% 0.18/0.51 ; 1 with value (4 28) 1 with value (4 36) 1 with value (4 44)
% 0.18/0.51 ; 1 with value (4 29) 1 with value (4 37) 2 with value (4 45)
% 0.18/0.51 ; 1 with value (4 30) 1 with value (4 38) 1 with value (4 48)
% 0.18/0.51 ; 2 with value (4 32)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.045 seconds of real time
% 0.18/0.51 0.035557 seconds of user run time
% 0.18/0.51 0.008868 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,623,416 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:45:44
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------