TSTP Solution File: SET849-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:12:45 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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_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(5,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(6,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_1,5]) ).
cnf(7,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_1,6,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 14:38:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T14:38:45
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-10T14:38:45
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 ||#
% 0.18/0.48
% 0.18/0.48 ; Summary of computation:
% 0.18/0.48 ; 8 formulas have been input or derived (from 4 formulas).
% 0.18/0.48 ; 7 (88%) were retained. Of these,
% 0.18/0.48 ; 2 (29%) were simplified or subsumed later,
% 0.18/0.48 ; 5 (71%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.001 4% Read assertion file (1 call)
% 0.18/0.48 ; 0.000 0% Assert (4 calls)
% 0.18/0.49 ; 0.001 4% Process new row (7 calls)
% 0.18/0.49 ; 0.000 0% Resolution (6 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (3 calls)
% 0.18/0.49 ; 0.000 0% Condensing (2 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (2 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (2 calls)
% 0.18/0.49 ; 0.000 0% Forward simplification (7 calls)
% 0.18/0.49 ; 0.001 4% Backward simplification (7 calls)
% 0.18/0.49 ; 0.000 0% Ordering (1 call)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.023 88% Other
% 0.18/0.49 ; 0.026 Total
% 0.18/0.49 ; 0.027 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 20 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 1 entry (2 at peak, 2 added, 1 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 12 nodes (31 at peak, 31 added, 19 deleted).
% 0.18/0.49 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.18/0.49 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.18/0.49 ; Path-index has 17 entries (22 at peak, 26 added, 9 deleted).
% 0.18/0.49 ; Path-index has 107 nodes (126 at peak, 141 added, 34 deleted).
% 0.18/0.49 ; Trie-index has 17 entries (22 at peak, 26 added, 9 deleted).
% 0.18/0.49 ; Trie-index has 80 nodes (110 at peak, 135 added, 55 deleted).
% 0.18/0.49 ; Retrieved 1 generalization term in 2 calls.
% 0.18/0.49 ; Retrieved 5 instance terms in 4 calls.
% 0.18/0.49 ; Retrieved 10 unifiable terms in 21 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of input rows to give has 1 entry:
% 0.18/0.49 ; 1 with value 20
% 0.18/0.49 ; The agenda of rows to give has 1 entry:
% 0.18/0.49 ; 1 with value (4 17)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.028 seconds of real time
% 0.18/0.49 0.018854 seconds of user run time
% 0.18/0.49 0.008862 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 1,879,048 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T14:38:45
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------