TSTP Solution File: SET842-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 05:12:39 EDT 2022
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 1 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(X,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Set_OUnionE_0,axiom,
( ~ c_in(X,c_Union(Y,Z),Z)
| c_in(c_Main_OUnionE__1(X,Y,Z),Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
cnf(cls_Set_OUnionE_1,axiom,
( ~ c_in(X,c_Union(Y,Z),Z)
| c_in(X,c_Main_OUnionE__1(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(Y,U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_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_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(8,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_3,cls_Set_OsubsetI_0]) ).
cnf(9,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,cls_conjecture_3]) ).
cnf(11,plain,
c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnionE_0,8]) ).
cnf(12,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnionE_1,8]) ).
cnf(14,plain,
c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,11]) ).
cnf(16,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetD_0,14,9]),12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 05:19:21 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:19:21
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-10T05:19:21
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 #||
% 0.22/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.54 % SZS output start Refutation
% See solution above
% 0.22/0.54 ||#
% 0.22/0.54
% 0.22/0.54 ; Summary of computation:
% 0.22/0.54 ; 21 formulas have been input or derived (from 13 formulas).
% 0.22/0.54 ; 16 (76%) were retained. Of these,
% 0.22/0.54 ; 16 (100%) are still being kept.
% 0.22/0.54 ;
% 0.22/0.54 ; Run time in seconds excluding printing time:
% 0.22/0.54 ; 0.002 7% Read assertion file (1 call)
% 0.22/0.54 ; 0.001 3% Assert (7 calls)
% 0.22/0.54 ; 0.003 10% Process new row (17 calls)
% 0.22/0.54 ; 0.001 3% Resolution (24 calls)
% 0.22/0.54 ; 0.000 0% Paramodulation (12 calls)
% 0.22/0.54 ; 0.000 0% Factoring (1 call)
% 0.22/0.54 ; 0.000 0% Condensing (8 calls)
% 0.22/0.54 ; 0.001 3% Forward subsumption (8 calls)
% 0.22/0.54 ; 0.000 0% Backward subsumption (8 calls)
% 0.22/0.54 ; 0.000 0% Clause clause subsumption (1 call)
% 0.22/0.54 ; 0.000 0% Forward simplification (17 calls)
% 0.22/0.54 ; 0.000 0% Backward simplification (16 calls)
% 0.22/0.54 ; 0.000 0% Ordering (4 calls)
% 0.22/0.54 ; 0.001 3% Sortal reasoning (32 calls)
% 0.22/0.54 ; 0.000 0% Purity testing (1 call)
% 0.22/0.54 ; 0.021 70% Other
% 0.22/0.54 ; 0.030 Total
% 0.22/0.54 ; 0.033 Real time
% 0.22/0.54 ;
% 0.22/0.54 ; Term-hash-array has 33 terms in all.
% 0.22/0.54 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.22/0.54 ; Feature-vector-row-index has 63 nodes (63 at peak, 63 added, 0 deleted).
% 0.22/0.54 ; Retrieved 0 possibly forward subsuming rows in 8 calls.
% 0.22/0.54 ; Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.22/0.54 ; Path-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.22/0.54 ; Path-index has 189 nodes (189 at peak, 189 added, 0 deleted).
% 0.22/0.54 ; Trie-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.22/0.54 ; Trie-index has 190 nodes (190 at peak, 190 added, 0 deleted).
% 0.22/0.54 ; Retrieved 2 generalization terms in 15 calls.
% 0.22/0.54 ; Retrieved 7 instance terms in 7 calls.
% 0.22/0.54 ; Retrieved 135 unifiable terms in 101 calls.
% 0.22/0.54 ;
% 0.22/0.54 ; The agenda of rows to give has 3 entries:
% 0.22/0.54 ; 1 with value (4 30) 1 with value (4 37) 1 with value (4 40)
% 0.22/0.54 Evaluation took:
% 0.22/0.54 0.033 seconds of real time
% 0.22/0.54 0.027259 seconds of user run time
% 0.22/0.54 0.006141 seconds of system run time
% 0.22/0.54 0 calls to %EVAL
% 0.22/0.54 0 page faults and
% 0.22/0.54 2,538,520 bytes consed.
% 0.22/0.54 :PROOF-FOUND
% 0.22/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:19:21
% 0.22/0.54 :PROOF-FOUND
% 0.22/0.54 *
%------------------------------------------------------------------------------