TSTP Solution File: SET846-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET846-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OUnion__upper_0,axiom,
( ~ c_in(X,Y,tc_set(Z))
| c_lessequals(X,c_Union(Y,Z),tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_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_OsuccI_0,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| c_in(c_Zorn_Osucc(Y,X,Z),c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_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_conjecture_1,negated_conjecture,
~ c_lessequals(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)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(6,plain,
~ c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnion__upper_0,cls_conjecture_1]) ).
cnf(7,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(8,plain,
c_in(c_Zorn_Osucc(X,c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),Y),c_Zorn_OTFin(X,Y),tc_set(tc_set(Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin_OsuccI_0,7]) ).
cnf(9,plain,
$false,
inference('REWRITE',[status(thm)],[6,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET846-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 04:20:32 EDT 2022
% 0.12/0.33 % 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 2022-07-11T04:20:32
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T04:20:32
% 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 ; 13 formulas have been input or derived (from 7 formulas).
% 0.18/0.48 ; 9 (69%) were retained. Of these,
% 0.18/0.48 ; 1 (11%) were simplified or subsumed later,
% 0.18/0.48 ; 8 (89%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.002 8% Read assertion file (1 call)
% 0.18/0.48 ; 0.000 0% Assert (5 calls)
% 0.18/0.48 ; 0.001 4% Process new row (10 calls)
% 0.18/0.48 ; 0.001 4% Resolution (12 calls)
% 0.18/0.48 ; 0.000 0% Paramodulation (6 calls)
% 0.18/0.48 ; 0.000 0% Condensing (3 calls)
% 0.18/0.48 ; 0.000 0% Forward subsumption (3 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (3 calls)
% 0.18/0.48 ; 0.000 0% Forward simplification (10 calls)
% 0.18/0.48 ; 0.000 0% Backward simplification (9 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.000 0% Purity testing (1 call)
% 0.18/0.48 ; 0.021 84% Other
% 0.18/0.48 ; 0.025 Total
% 0.18/0.48 ; 0.028 Real time
% 0.18/0.48 ;
% 0.18/0.48 ; Term-hash-array has 28 terms in all.
% 0.18/0.48 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.18/0.48 ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.18/0.48 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.18/0.48 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.18/0.48 ; Path-index has 29 entries (30 at peak, 30 added, 1 deleted).
% 0.18/0.48 ; Path-index has 143 nodes (151 at peak, 151 added, 8 deleted).
% 0.18/0.48 ; Trie-index has 29 entries (30 at peak, 30 added, 1 deleted).
% 0.18/0.48 ; Trie-index has 139 nodes (153 at peak, 153 added, 14 deleted).
% 0.18/0.48 ; Retrieved 3 generalization terms in 5 calls.
% 0.18/0.48 ; Retrieved 7 instance terms in 5 calls.
% 0.18/0.48 ; Retrieved 40 unifiable terms in 42 calls.
% 0.18/0.48 ;
% 0.18/0.48 ; The agenda of rows to give has 1 entry:
% 0.18/0.48 ; 1 with value (4 22)
% 0.18/0.48 Evaluation took:
% 0.18/0.48 0.028 seconds of real time
% 0.18/0.48 0.022608 seconds of user run time
% 0.18/0.48 0.005156 seconds of system run time
% 0.18/0.48 0 calls to %EVAL
% 0.18/0.48 0 page faults and
% 0.18/0.48 2,063,304 bytes consed.
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T04:20:32
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------