TSTP Solution File: SET839-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:12:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 8 unt; 1 nHn; 7 RR)
% Number of literals : 18 ( 2 equ; 8 neg)
% Maximal clause size : 3 ( 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; 3 con; 0-3 aty)
% Number of variables : 23 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(v_S,c_insert(X,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_lessequals(X,Y,tc_set(t_a))
| ~ c_in(Y,v_S,tc_set(t_a))
| ~ c_in(X,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X,c_insert(X,Y,Z),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(7,plain,
c_in(c_Main_OsubsetI__1(v_S,c_insert(X,c_emptyset,tc_set(t_a)),tc_set(t_a)),v_S,tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_0,cls_Set_OsubsetI_0]) ).
cnf(8,plain,
~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,cls_conjecture_0]) ).
cnf(10,plain,
c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(X,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(v_S,c_insert(Y,c_emptyset,tc_set(t_a)),tc_set(t_a)),tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,7,7]) ).
cnf(14,plain,
c_Main_OsubsetI__1(v_S,c_insert(X,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(Y,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,10,10]) ).
cnf(15,plain,
~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(Y,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference('PARAMODULATE',[status(thm)],[8,14,theory(equality)]) ).
cnf(16,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[15,cls_Set_OinsertCI_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 14:21:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:21:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T14:21:23
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 57 formulas have been input or derived (from 13 formulas).
% 0.19/0.50 ; 16 (28%) were retained. Of these,
% 0.19/0.50 ; 1 ( 6%) were simplified or subsumed later,
% 0.19/0.50 ; 15 (94%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (6 calls)
% 0.19/0.50 ; 0.004 12% Process new row (48 calls)
% 0.19/0.51 ; 0.003 9% Resolution (24 calls)
% 0.19/0.51 ; 0.001 3% Paramodulation (12 calls)
% 0.19/0.51 ; 0.000 0% Factoring (2 calls)
% 0.19/0.51 ; 0.000 0% Condensing (17 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (17 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (8 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (47 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (16 calls)
% 0.19/0.51 ; 0.000 0% Ordering (64 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 64% Other
% 0.19/0.51 ; 0.033 Total
% 0.19/0.51 ; 0.036 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 37 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.19/0.51 ; Retrieved 32 possibly forward subsuming rows in 17 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.19/0.51 ; Path-index has 39 entries (40 at peak, 40 added, 1 deleted).
% 0.19/0.51 ; Path-index has 147 nodes (147 at peak, 147 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 39 entries (40 at peak, 40 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 0.19/0.51 ; Retrieved 26 generalization terms in 74 calls.
% 0.19/0.51 ; Retrieved 8 instance terms in 7 calls.
% 0.19/0.51 ; Retrieved 155 unifiable terms in 108 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 2 entries:
% 0.19/0.51 ; 2 with value 26
% 0.19/0.51 ; The agenda of rows to give has 3 entries:
% 0.19/0.51 ; 2 with value (4 39) 1 with value (4 50)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.036 seconds of real time
% 0.19/0.51 0.027857 seconds of user run time
% 0.19/0.51 0.007979 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,611,856 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:21:23
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------