TSTP Solution File: SWV261-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 : Wed Jul 20 21:32:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 11 unt; 3 nHn; 14 RR)
% Number of literals : 29 ( 3 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts__Un__subset2_0,axiom,
c_lessequals(c_Message_Oparts(c_union(X,Y,tc_Message_Omsg)),c_union(c_Message_Oparts(X),c_Message_Oparts(Y),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
cnf(cls_Set_OUnCI_0,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,c_union(U,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(cls_Set_OUnCI_1,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,c_union(Y,U,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X,c_insert(Y,Z,U),U)
| c_in(X,Z,U)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_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(cls_Set_Osubset__trans_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,X,tc_set(Z))
| c_lessequals(U,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
cnf(12,plain,
c_in(v_X,c_union(v_G,X,tc_Message_Omsg),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnCI_1,cls_conjecture_0]) ).
cnf(17,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,cls_Message_Oparts__Un__subset2_0,cls_conjecture_1]) ).
cnf(33,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts__mono_0,17]) ).
cnf(36,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[33,cls_Set_OsubsetI_0]) ).
cnf(37,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,33]) ).
cnf(67,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertE_0,36]) ).
cnf(68,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_0,37]) ).
cnf(69,plain,
c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X,
inference('REWRITE',[status(thm)],[67,68]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[37,12,69,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 02:48:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T02:48:25
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-15T02:48:25
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 116 formulas have been input or derived (from 31 formulas).
% 0.19/0.51 ; 71 (61%) were retained. Of these,
% 0.19/0.51 ; 6 ( 8%) were simplified or subsumed later,
% 0.19/0.51 ; 65 (92%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (10 calls)
% 0.19/0.51 ; 0.009 21% Process new row (105 calls)
% 0.19/0.51 ; 0.002 5% Resolution (60 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (30 calls)
% 0.19/0.51 ; 0.000 0% Factoring (2 calls)
% 0.19/0.51 ; 0.001 2% Condensing (22 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (22 calls)
% 0.19/0.51 ; 0.002 5% Backward subsumption (21 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (44 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (105 calls)
% 0.19/0.51 ; 0.002 5% Backward simplification (71 calls)
% 0.19/0.51 ; 0.000 0% Ordering (38 calls)
% 0.19/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.024 56% Other
% 0.19/0.51 ; 0.043 Total
% 0.19/0.51 ; 0.047 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 181 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 20 entries (21 at peak, 21 added, 1 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 131 nodes (154 at peak, 154 added, 23 deleted).
% 0.19/0.51 ; Retrieved 44 possibly forward subsuming rows in 22 calls.
% 0.19/0.51 ; Retrieved 3 possibly backward subsumed rows in 21 calls.
% 0.19/0.51 ; Path-index has 178 entries (184 at peak, 186 added, 8 deleted).
% 0.19/0.51 ; Path-index has 663 nodes (682 at peak, 693 added, 30 deleted).
% 0.19/0.51 ; Trie-index has 178 entries (184 at peak, 186 added, 8 deleted).
% 0.19/0.51 ; Trie-index has 882 nodes (923 at peak, 939 added, 57 deleted).
% 0.19/0.51 ; Retrieved 34 generalization terms in 129 calls.
% 0.19/0.51 ; Retrieved 49 instance terms in 49 calls.
% 0.19/0.51 ; Retrieved 399 unifiable terms in 301 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.19/0.51 ; 3 with value 0
% 0.19/0.51 ; The agenda of rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 20
% 0.19/0.51 ; The agenda of rows to give has 36 entries:
% 0.19/0.51 ; 1 with value (4 12) 2 with value (4 26) 1 with value (4 33)
% 0.19/0.51 ; 1 with value (4 19) 3 with value (4 29) 2 with value (4 34)
% 0.19/0.51 ; 2 with value (4 23) 1 with value (4 30) 1 with value (4 38)
% 0.19/0.51 ; 20 with value (4 25) 1 with value (4 31) 1 with value (4 40)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.047 seconds of real time
% 0.19/0.51 0.041467 seconds of user run time
% 0.19/0.51 0.006172 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 3,758,624 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T02:48:25
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------