TSTP Solution File: SET848-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:12:44 EDT 2022
% Result : Unsatisfiable 0.15s 0.44s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 7 RR)
% Number of literals : 16 ( 2 equ; 7 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 : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 19 ( 1 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_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_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(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(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_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(8,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(9,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Osucc__not__equals_0,cls_conjecture_1]) ).
cnf(10,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_0,8]) ).
cnf(13,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_ODiffI_0,10,cls_conjecture_0]),9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.10 % Command : run-snark %s %d
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jul 10 06:51:11 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.40 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.41 #<PACKAGE "SNARK-USER">
% 0.15/0.41 *
% 0.15/0.41 SNARK-TPTP-OPTIONS
% 0.15/0.41 *
% 0.15/0.41 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.41 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.41 (USE-FACTORING :POS)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.41 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.41 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.41 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.41 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.41 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.41 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.41 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.41 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.41 *
% 0.15/0.41 "."
% 0.15/0.41 *
% 0.15/0.41 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:51:11
% 0.15/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-10T06:51:11
% 0.15/0.44
% 0.15/0.44
% 0.15/0.44 #||
% 0.15/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.44 % SZS output start Refutation
% See solution above
% 0.15/0.44 ||#
% 0.15/0.44
% 0.15/0.44 ; Summary of computation:
% 0.15/0.44 ; 18 formulas have been input or derived (from 10 formulas).
% 0.15/0.44 ; 13 (72%) were retained. Of these,
% 0.15/0.44 ; 13 (100%) are still being kept.
% 0.15/0.44 ;
% 0.15/0.44 ; Run time in seconds excluding printing time:
% 0.15/0.44 ; 0.002 8% Read assertion file (1 call)
% 0.15/0.44 ; 0.000 0% Assert (7 calls)
% 0.15/0.44 ; 0.001 4% Process new row (15 calls)
% 0.15/0.44 ; 0.002 8% Resolution (18 calls)
% 0.15/0.44 ; 0.000 0% Paramodulation (9 calls)
% 0.15/0.44 ; 0.000 0% Condensing (5 calls)
% 0.15/0.44 ; 0.000 0% Forward subsumption (5 calls)
% 0.15/0.44 ; 0.000 0% Backward subsumption (5 calls)
% 0.15/0.44 ; 0.001 4% Forward simplification (15 calls)
% 0.15/0.44 ; 0.000 0% Backward simplification (13 calls)
% 0.15/0.44 ; 0.000 0% Ordering (6 calls)
% 0.15/0.44 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.44 ; 0.000 0% Purity testing (1 call)
% 0.15/0.44 ; 0.019 76% Other
% 0.15/0.44 ; 0.025 Total
% 0.15/0.44 ; 0.028 Real time
% 0.15/0.44 ;
% 0.15/0.44 ; Term-hash-array has 45 terms in all.
% 0.15/0.44 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.15/0.44 ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.15/0.44 ; Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.15/0.44 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.15/0.44 ; Path-index has 47 entries (47 at peak, 47 added, 0 deleted).
% 0.15/0.44 ; Path-index has 219 nodes (219 at peak, 219 added, 0 deleted).
% 0.15/0.44 ; Trie-index has 47 entries (47 at peak, 47 added, 0 deleted).
% 0.15/0.44 ; Trie-index has 240 nodes (240 at peak, 240 added, 0 deleted).
% 0.15/0.44 ; Retrieved 3 generalization terms in 9 calls.
% 0.15/0.44 ; Retrieved 7 instance terms in 7 calls.
% 0.15/0.44 ; Retrieved 70 unifiable terms in 73 calls.
% 0.15/0.44 ;
% 0.15/0.44 ; The agenda of rows to process has 1 entry:
% 0.15/0.44 ; 1 with value 41
% 0.15/0.44 ; The agenda of rows to give has 3 entries:
% 0.15/0.44 ; 1 with value (4 27) 1 with value (4 28) 1 with value (4 40)
% 0.15/0.44 Evaluation took:
% 0.15/0.44 0.028 seconds of real time
% 0.15/0.44 0.021983 seconds of user run time
% 0.15/0.44 0.006076 seconds of system run time
% 0.15/0.44 0 calls to %EVAL
% 0.15/0.44 0 page faults and
% 0.15/0.44 2,386,768 bytes consed.
% 0.15/0.44 :PROOF-FOUND
% 0.15/0.44 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:51:11
% 0.15/0.44 :PROOF-FOUND
% 0.15/0.44 *
%------------------------------------------------------------------------------