TSTP Solution File: SEU102+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU102+1 : 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 14:19:08 EDT 2022
% Result : Theorem 0.40s 0.56s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 15 unt; 2 nHn; 15 RR)
% Number of literals : 25 ( 5 equ; 10 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( empty(X)
| ~ preboolean(X)
| ~ element(Y,X)
| ~ element(Z,X)
| element(prebool_difference(X,Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_finsub_1) ).
cnf(35,axiom,
( empty(X)
| ~ preboolean(X)
| ~ element(Y,X)
| ~ element(Z,X)
| prebool_difference(X,Y,Z) = set_difference(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).
cnf(37,negated_conjecture,
~ empty('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finsub_1) ).
cnf(38,negated_conjecture,
preboolean('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finsub_1) ).
cnf(39,negated_conjecture,
element('SKOLEMAAAV11','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finsub_1) ).
cnf(40,negated_conjecture,
element('SKOLEMAAAV12','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finsub_1) ).
cnf(41,negated_conjecture,
~ element(set_intersection2('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finsub_1) ).
cnf(48,axiom,
set_difference(X,set_difference(X,Y)) = set_intersection2(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
cnf(56,plain,
~ element(set_difference('SKOLEMAAAV12',set_difference('SKOLEMAAAV12','SKOLEMAAAV11')),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[41,48,theory(equality)]) ).
cnf(135,plain,
set_difference(X,set_difference(X,Y)) = set_difference(Y,set_difference(Y,X)),
inference('PARAMODULATE',[status(thm)],[48,48,theory(equality)]) ).
cnf(136,plain,
~ element(set_difference('SKOLEMAAAV11',set_difference('SKOLEMAAAV11','SKOLEMAAAV12')),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[56,135,theory(equality)]) ).
cnf(141,plain,
element(prebool_difference('SKOLEMAAAV13','SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[7,37,38,39,40]) ).
cnf(152,plain,
prebool_difference('SKOLEMAAAV13','SKOLEMAAAV11','SKOLEMAAAV12') = set_difference('SKOLEMAAAV11','SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[35,37,38,39,40]) ).
cnf(153,plain,
element(set_difference('SKOLEMAAAV11','SKOLEMAAAV12'),'SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[141,152,theory(equality)]) ).
cnf(408,plain,
element(prebool_difference('SKOLEMAAAV13','SKOLEMAAAV11',set_difference('SKOLEMAAAV11','SKOLEMAAAV12')),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[7,153,37,38,39]) ).
cnf(419,plain,
prebool_difference('SKOLEMAAAV13','SKOLEMAAAV11',set_difference('SKOLEMAAAV11','SKOLEMAAAV12')) = set_difference('SKOLEMAAAV11',set_difference('SKOLEMAAAV11','SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[35,153,37,38,39]) ).
cnf(420,plain,
$false,
inference('REWRITE',[status(thm)],[408,136,419,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 19:47:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T19:47:28
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T19:47:28
% 0.20/0.48
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.49 WARNING:
% 0.20/0.49 |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.56 ; Declaring set_intersection2 to be commutative.
% 0.40/0.56
% 0.40/0.56 #||
% 0.40/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.56 % SZS output start Refutation
% See solution above
% 0.40/0.56 ||#
% 0.40/0.56
% 0.40/0.56 ; Summary of computation:
% 0.40/0.56 ; 772 formulas have been input or derived (from 115 formulas).
% 0.40/0.56 ; 420 (54%) were retained. Of these,
% 0.40/0.56 ; 34 ( 8%) were simplified or subsumed later,
% 0.40/0.56 ; 386 (92%) are still being kept.
% 0.40/0.56 ;
% 0.40/0.56 ; Run time in seconds excluding printing time:
% 0.40/0.56 ; 0.007 7% Read assertion file (1 call)
% 0.40/0.56 ; 0.003 3% Assert (38 calls)
% 0.40/0.56 ; 0.023 24% Process new row (646 calls)
% 0.40/0.56 ; 0.017 18% Resolution (228 calls)
% 0.40/0.56 ; 0.001 1% Paramodulation (114 calls)
% 0.40/0.56 ; 0.000 0% Factoring (5 calls)
% 0.40/0.56 ; 0.001 1% Condensing (54 calls)
% 0.40/0.56 ; 0.000 0% Forward subsumption (54 calls)
% 0.40/0.56 ; 0.000 0% Backward subsumption (42 calls)
% 0.40/0.56 ; 0.000 0% Clause clause subsumption (17 calls)
% 0.40/0.56 ; 0.010 10% Forward simplification (635 calls)
% 0.40/0.56 ; 0.004 4% Backward simplification (420 calls)
% 0.40/0.56 ; 0.000 0% Ordering (128 calls)
% 0.40/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.56 ; 0.001 1% Purity testing (1 call)
% 0.40/0.56 ; 0.029 30% Other
% 0.40/0.56 ; 0.096 Total
% 0.40/0.56 ; 0.097 Real time
% 0.40/0.56 ;
% 0.40/0.56 ; Term-hash-array has 638 terms in all.
% 0.40/0.56 ; Feature-vector-row-index has 41 entries (41 at peak, 42 added, 1 deleted).
% 0.40/0.56 ; Feature-vector-row-index has 109 nodes (109 at peak, 110 added, 1 deleted).
% 0.40/0.56 ; Retrieved 21 possibly forward subsuming rows in 54 calls.
% 0.40/0.56 ; Retrieved 1 possibly backward subsumed row in 42 calls.
% 0.40/0.56 ; Path-index has 608 entries (609 at peak, 647 added, 39 deleted).
% 0.40/0.56 ; Path-index has 972 nodes (973 at peak, 1,023 added, 51 deleted).
% 0.40/0.56 ; Trie-index has 608 entries (609 at peak, 647 added, 39 deleted).
% 0.40/0.56 ; Trie-index has 1,401 nodes (1,406 at peak, 1,524 added, 123 deleted).
% 0.40/0.56 ; Retrieved 426 generalization terms in 989 calls.
% 0.40/0.56 ; Retrieved 415 instance terms in 378 calls.
% 0.40/0.56 ; Retrieved 7,646 unifiable terms in 2,175 calls.
% 0.40/0.56 ;
% 0.40/0.56 ; The agenda of rows to process has 21 entries:
% 0.40/0.56 ; 1 with value 17 4 with value 20 2 with value 22
% 0.40/0.56 ; 4 with value 18 4 with value 21 4 with value 24
% 0.40/0.56 ; 2 with value 19
% 0.40/0.56 ; The agenda of rows to give has 278 entries:
% 0.40/0.56 ; 23 with value (4 8) 13 with value (4 13) 6 with value (4 17)
% 0.40/0.56 ; 87 with value (4 9) 10 with value (4 14) 1 with value (4 18)
% 0.40/0.56 ; 18 with value (4 10) 13 with value (4 15) 2 with value (4 19)
% 0.40/0.56 ; 52 with value (4 11) 5 with value (4 16) 1 with value (4 21)
% 0.40/0.56 ; 47 with value (4 12)
% 0.40/0.56 Evaluation took:
% 0.40/0.56 0.098 seconds of real time
% 0.40/0.56 0.083761 seconds of user run time
% 0.40/0.56 0.014006 seconds of system run time
% 0.40/0.56 0 calls to %EVAL
% 0.40/0.56 0 page faults and
% 0.40/0.56 5,880,200 bytes consed.
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T19:47:28
% 0.40/0.56 :PROOF-FOUND
% 0.40/0.56 *
%------------------------------------------------------------------------------