TSTP Solution File: SEU230+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU230+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:20:24 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 4 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
succ(X) = set_union2(X,singleton(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
cnf(5,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(9,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(32,negated_conjecture,
~ in('SKOLEMAAAU13',succ('SKOLEMAAAU13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
cnf(63,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[5,theory(equality),theory(equality)]) ).
cnf(66,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,3,32]),63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU230+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 20:05:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T20:05:23
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T20:05:23
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.49 WARNING:
% 0.19/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 ; Declaring set_union2 to be commutative.
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 224 formulas have been input or derived (from 33 formulas).
% 0.19/0.52 ; 66 (29%) were retained. Of these,
% 0.19/0.52 ; 6 ( 9%) were simplified or subsumed later,
% 0.19/0.52 ; 60 (91%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds:
% 0.19/0.52 ; 0.006 14% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (38 calls)
% 0.19/0.52 ; 0.005 11% Process new row (213 calls)
% 0.19/0.52 ; 0.003 7% Resolution (64 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (32 calls)
% 0.19/0.52 ; 0.000 0% Condensing (21 calls)
% 0.19/0.52 ; 0.002 5% Forward subsumption (21 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (19 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.19/0.52 ; 0.002 5% Forward simplification (200 calls)
% 0.19/0.52 ; 0.001 2% Backward simplification (66 calls)
% 0.19/0.52 ; 0.000 0% Ordering (43 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.024 55% Other
% 0.19/0.52 ; 0.044 Total
% 0.19/0.52 ; 0.045 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 101 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.19/0.52 ; Retrieved 5 possibly forward subsuming rows in 21 calls.
% 0.19/0.52 ; Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.19/0.52 ; Path-index has 106 entries (106 at peak, 112 added, 6 deleted).
% 0.19/0.52 ; Path-index has 146 nodes (146 at peak, 152 added, 6 deleted).
% 0.19/0.52 ; Trie-index has 106 entries (106 at peak, 112 added, 6 deleted).
% 0.19/0.52 ; Trie-index has 177 nodes (177 at peak, 183 added, 6 deleted).
% 0.19/0.52 ; Retrieved 263 generalization terms in 390 calls.
% 0.19/0.52 ; Retrieved 49 instance terms in 46 calls.
% 0.19/0.52 ; Retrieved 1,209 unifiable terms in 255 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 6 entries:
% 0.19/0.52 ; 1 with value 7 1 with value 15 1 with value 17
% 0.19/0.52 ; 3 with value 13
% 0.19/0.52 ; The agenda of input rows to give has 6 entries:
% 0.19/0.52 ; 1 with value 19 2 with value 23 1 with value 31
% 0.19/0.52 ; 2 with value 20
% 0.19/0.52 ; The agenda of rows to give has 26 entries:
% 0.19/0.52 ; 5 with value (4 5) 2 with value (4 8) 2 with value (4 10)
% 0.19/0.52 ; 16 with value (4 7) 1 with value (4 9)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.045 seconds of real time
% 0.19/0.52 0.036903 seconds of user run time
% 0.19/0.52 0.008182 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 2,316,928 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T20:05:23
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------