%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU245+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:20:34 EDT 2022
% Result : Theorem 0.21s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 6 unt; 2 nHn; 11 RR)
% Number of literals : 24 ( 4 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
( ~ relation(X)
| relation_restriction(X,Y) = set_intersection2(X,cartesian_product2(Y,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_wellord1) ).
cnf(19,negated_conjecture,
relation('SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(20,negated_conjecture,
( ~ in('SKOLEMAAAV7',relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))
| ~ in('SKOLEMAAAV7','SKOLEMAAAV9')
| ~ in('SKOLEMAAAV7',cartesian_product2('SKOLEMAAAV8','SKOLEMAAAV8')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(21,negated_conjecture,
( in('SKOLEMAAAV7',relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))
| in('SKOLEMAAAV7','SKOLEMAAAV9') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(22,negated_conjecture,
( in('SKOLEMAAAV7',relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))
| in('SKOLEMAAAV7',cartesian_product2('SKOLEMAAAV8','SKOLEMAAAV8')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(23,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(24,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(40,plain,
relation_restriction('SKOLEMAAAV9',X) = set_intersection2('SKOLEMAAAV9',cartesian_product2(X,X)),
inference('HYPERRESOLVE',[status(thm)],[18,19]) ).
cnf(81,plain,
in('SKOLEMAAAV7','SKOLEMAAAV9'),
inference('HYPERRESOLVE',[status(thm)],[23,40,21]) ).
cnf(82,plain,
( ~ in('SKOLEMAAAV7',relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8'))
| ~ in('SKOLEMAAAV7',cartesian_product2('SKOLEMAAAV8','SKOLEMAAAV8')) ),
inference('REWRITE',[status(thm)],[20,81]) ).
cnf(83,plain,
in('SKOLEMAAAV7',cartesian_product2('SKOLEMAAAV8','SKOLEMAAAV8')),
inference('HYPERRESOLVE',[status(thm)],[23,40,22]) ).
cnf(84,plain,
~ in('SKOLEMAAAV7',relation_restriction('SKOLEMAAAV9','SKOLEMAAAV8')),
inference('REWRITE',[status(thm)],[82,83]) ).
cnf(105,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[24,81,40,84]),83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU245+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n023.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
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 11:59:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:59:03
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-20T11:59:03
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.50 WARNING:
% 0.21/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50 WARNING:
% 0.21/0.50 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.58 ; Declaring set_intersection2 to be commutative.
% 0.21/0.58
% 0.21/0.58 #||
% 0.21/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.58 % SZS output start Refutation
% See solution above
% 0.42/0.58 ||#
% 0.42/0.58
% 0.42/0.58 ; Summary of computation:
% 0.42/0.58 ; 532 formulas have been input or derived (from 49 formulas).
% 0.42/0.58 ; 105 (20%) were retained. Of these,
% 0.42/0.58 ; 12 (11%) were simplified or subsumed later,
% 0.42/0.58 ; 93 (89%) are still being kept.
% 0.42/0.58 ;
% 0.42/0.58 ; Run time in seconds excluding printing time:
% 0.42/0.58 ; 0.004 4% Read assertion file (1 call)
% 0.42/0.58 ; 0.002 2% Assert (26 calls)
% 0.42/0.58 ; 0.011 12% Process new row (391 calls)
% 0.42/0.58 ; 0.016 17% Resolution (96 calls)
% 0.42/0.58 ; 0.002 2% Paramodulation (48 calls)
% 0.42/0.58 ; 0.000 0% Factoring (6 calls)
% 0.42/0.58 ; 0.003 3% Condensing (233 calls)
% 0.42/0.58 ; 0.008 9% Forward subsumption (233 calls)
% 0.42/0.58 ; 0.002 2% Backward subsumption (56 calls)
% 0.42/0.58 ; 0.003 3% Clause clause subsumption (404 calls)
% 0.42/0.58 ; 0.010 11% Forward simplification (382 calls)
% 0.42/0.58 ; 0.001 1% Backward simplification (105 calls)
% 0.42/0.58 ; 0.005 5% Ordering (699 calls)
% 0.42/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.58 ; 0.000 0% Purity testing (1 call)
% 0.42/0.58 ; 0.024 26% Other
% 0.42/0.58 ; 0.092 Total
% 0.42/0.58 ; 0.094 Real time
% 0.42/0.58 ;
% 0.42/0.58 ; Term-hash-array has 178 terms in all.
% 0.42/0.58 ; Feature-vector-row-index has 48 entries (49 at peak, 56 added, 8 deleted).
% 0.42/0.58 ; Feature-vector-row-index has 136 nodes (146 at peak, 203 added, 67 deleted).
% 0.42/0.58 ; Retrieved 745 possibly forward subsuming rows in 233 calls.
% 0.42/0.58 ; Retrieved 52 possibly backward subsumed rows in 56 calls.
% 0.42/0.58 ; Path-index has 181 entries (181 at peak, 188 added, 7 deleted).
% 0.42/0.58 ; Path-index has 335 nodes (335 at peak, 343 added, 8 deleted).
% 0.42/0.58 ; Trie-index has 181 entries (181 at peak, 188 added, 7 deleted).
% 0.42/0.58 ; Trie-index has 513 nodes (513 at peak, 524 added, 11 deleted).
% 0.42/0.58 ; Retrieved 513 generalization terms in 1,066 calls.
% 0.42/0.58 ; Retrieved 49 instance terms in 48 calls.
% 0.42/0.58 ; Retrieved 4,595 unifiable terms in 627 calls.
% 0.42/0.58 ;
% 0.42/0.58 ; The agenda of rows to process has 6 entries:
% 0.42/0.58 ; 3 with value 10 1 with value 13 1 with value 15
% 0.42/0.58 ; 1 with value 12
% 0.42/0.58 ; The agenda of rows to give has 51 entries:
% 0.42/0.58 ; 1 with value (4 6) 3 with value (4 17) 1 with value (4 26)
% 0.42/0.58 ; 3 with value (4 7) 3 with value (4 18) 2 with value (4 32)
% 0.42/0.58 ; 1 with value (4 9) 1 with value (4 19) 6 with value (4 33)
% 0.42/0.58 ; 1 with value (4 11) 1 with value (4 20) 2 with value (4 34)
% 0.42/0.58 ; 5 with value (4 13) 1 with value (4 21) 2 with value (4 35)
% 0.42/0.58 ; 3 with value (4 15) 8 with value (4 24) 2 with value (4 36)
% 0.42/0.58 ; 5 with value (4 16)
% 0.42/0.58 Evaluation took:
% 0.42/0.58 0.095 seconds of real time
% 0.42/0.58 0.082418 seconds of user run time
% 0.42/0.58 0.012042 seconds of system run time
% 0.42/0.58 0 calls to %EVAL
% 0.42/0.58 0 page faults and
% 0.42/0.58 5,187,616 bytes consed.
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:59:03
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 *
%------------------------------------------------------------------------------