TSTP Solution File: SEU224+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 14:20:20 EDT 2022
% Result : Theorem 33.63s 33.86s
% Output : Refutation 33.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 9 unt; 2 nHn; 13 RR)
% Number of literals : 36 ( 5 equ; 19 neg)
% Maximal clause size : 6 ( 2 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; 0-2 aty)
% Number of variables : 18 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(5,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(9,axiom,
( ~ relation(X)
| relation(relation_dom_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
cnf(16,axiom,
( ~ relation(X)
| ~ function(X)
| function(relation_dom_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
cnf(21,negated_conjecture,
relation('SKOLEMAAAN5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
cnf(22,negated_conjecture,
function('SKOLEMAAAN5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
cnf(23,negated_conjecture,
( ~ in('SKOLEMAAAN4',relation_dom(relation_dom_restriction('SKOLEMAAAN5','SKOLEMAAAN3')))
| ~ in('SKOLEMAAAN4',relation_dom('SKOLEMAAAN5'))
| ~ in('SKOLEMAAAN4','SKOLEMAAAN3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
cnf(24,negated_conjecture,
( in('SKOLEMAAAN4',relation_dom(relation_dom_restriction('SKOLEMAAAN5','SKOLEMAAAN3')))
| in('SKOLEMAAAN4',relation_dom('SKOLEMAAAN5')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
cnf(25,negated_conjecture,
( in('SKOLEMAAAN4',relation_dom(relation_dom_restriction('SKOLEMAAAN5','SKOLEMAAAN3')))
| in('SKOLEMAAAN4','SKOLEMAAAN3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
cnf(44,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| X != relation_dom_restriction(Y,Z)
| relation_dom(X) = set_intersection2(relation_dom(Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
cnf(65,plain,
relation(relation_dom_restriction('SKOLEMAAAN5',X)),
inference('HYPERRESOLVE',[status(thm)],[9,21]) ).
cnf(85,plain,
function(relation_dom_restriction('SKOLEMAAAN5',X)),
inference('HYPERRESOLVE',[status(thm)],[16,21,22]) ).
cnf(366,plain,
relation_dom(relation_dom_restriction('SKOLEMAAAN5',X)) = set_intersection2(relation_dom('SKOLEMAAAN5'),X),
inference('HYPERRESOLVE',[status(thm)],[44,85,65,21,22,theory(equality)]) ).
cnf(25566,plain,
in('SKOLEMAAAN4','SKOLEMAAAN3'),
inference('HYPERRESOLVE',[status(thm)],[4,366,25]) ).
cnf(25567,plain,
( ~ in('SKOLEMAAAN4',relation_dom(relation_dom_restriction('SKOLEMAAAN5','SKOLEMAAAN3')))
| ~ in('SKOLEMAAAN4',relation_dom('SKOLEMAAAN5')) ),
inference('REWRITE',[status(thm)],[23,25566]) ).
cnf(25568,plain,
in('SKOLEMAAAN4',relation_dom('SKOLEMAAAN5')),
inference('HYPERRESOLVE',[status(thm)],[4,366,24]) ).
cnf(25569,plain,
~ in('SKOLEMAAAN4',relation_dom(relation_dom_restriction('SKOLEMAAAN5','SKOLEMAAAN3'))),
inference('REWRITE',[status(thm)],[25567,25568]) ).
cnf(25630,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,25566,366,25569]),25568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU224+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.11 % Command : run-snark %s %d
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Sun Jun 19 07:55:17 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.39 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.41 #<PACKAGE "SNARK-USER">
% 0.15/0.41 *
% 0.15/0.41 SNARK-TPTP-OPTIONS
% 0.15/0.41 *
% 0.15/0.41 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.41 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.41 (USE-FACTORING :POS)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.41 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.41 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.41 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.41 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.41 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.41 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.41 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.41 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.41 *
% 0.15/0.41 "."
% 0.15/0.41 *
% 0.15/0.41 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T07:55:18
% 0.15/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-19T07:55:18
% 0.15/0.42
% 0.15/0.42 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.15/0.42 WARNING:
% 0.15/0.42 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 33.63/33.86 ; Declaring set_intersection2 to be commutative.
% 33.63/33.86
% 33.63/33.86 #||
% 33.63/33.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.63/33.86 % SZS output start Refutation
% See solution above
% 33.63/33.86 ||#
% 33.63/33.86
% 33.63/33.86 ; Summary of computation:
% 33.63/33.86 ; 128224 formulas have been input or derived (from 336 formulas).
% 33.63/33.86 ; 25630 (20%) were retained. Of these,
% 33.63/33.86 ; 863 ( 3%) were simplified or subsumed later,
% 33.63/33.86 ; 24767 (97%) are still being kept.
% 33.63/33.86 ;
% 33.63/33.86 ; Run time in seconds excluding printing time:
% 33.63/33.86 ; 0.004 0% Read assertion file (1 call)
% 33.63/33.86 ; 0.002 0% Assert (38 calls)
% 33.63/33.86 ; 2.652 8% Process new row (127,742 calls)
% 33.63/33.86 ; 20.133 60% Resolution (670 calls)
% 33.63/33.86 ; 0.047 0% Paramodulation (335 calls)
% 33.63/33.86 ; 0.000 0% Factoring (8 calls)
% 33.63/33.86 ; 0.010 0% Condensing (884 calls)
% 33.63/33.86 ; 0.014 0% Forward subsumption (884 calls)
% 33.63/33.86 ; 0.006 0% Backward subsumption (244 calls)
% 33.63/33.86 ; 0.007 0% Clause clause subsumption (1,756 calls)
% 33.63/33.86 ; 2.035 6% Forward simplification (127,712 calls)
% 33.63/33.86 ; 8.133 24% Backward simplification (25,630 calls)
% 33.63/33.86 ; 0.008 0% Ordering (5,129 calls)
% 33.63/33.86 ; 0.000 0% Sortal reasoning (32 calls)
% 33.63/33.86 ; 0.000 0% Purity testing (1 call)
% 33.63/33.86 ; 0.394 1% Other
% 33.63/33.86 ; 33.445 Total
% 33.63/33.86 ; 33.456 Real time
% 33.63/33.86 ;
% 33.63/33.86 ; Term-hash-array has 51,564 terms in all.
% 33.63/33.86 ; Feature-vector-row-index has 218 entries (219 at peak, 244 added, 26 deleted).
% 33.63/33.86 ; Feature-vector-row-index has 1,417 nodes (1,428 at peak, 1,660 added, 243 deleted).
% 33.63/33.86 ; Retrieved 2,909 possibly forward subsuming rows in 884 calls.
% 33.63/33.86 ; Retrieved 116 possibly backward subsumed rows in 244 calls.
% 33.63/33.86 ; Path-index has 49,857 entries (49,857 at peak, 51,604 added, 1,747 deleted).
% 33.63/33.86 ; Path-index has 1,182 nodes (1,182 at peak, 1,300 added, 118 deleted).
% 33.63/33.86 ; Trie-index has 49,857 entries (49,857 at peak, 51,604 added, 1,747 deleted).
% 33.63/33.86 ; Trie-index has 88,249 nodes (88,249 at peak, 91,452 added, 3,203 deleted).
% 33.63/33.86 ; Retrieved 224,418 generalization terms in 287,533 calls.
% 33.63/33.86 ; Retrieved 2,218,410 instance terms in 25,385 calls.
% 33.63/33.86 ; Retrieved 33,498,987 unifiable terms in 565,669 calls.
% 33.63/33.86 ;
% 33.63/33.86 ; The agenda of rows to process has 11 entries:
% 33.63/33.86 ; 6 with value 11 1 with value 15 3 with value 16
% 33.63/33.86 ; 1 with value 13
% 33.63/33.86 ; The agenda of rows to give has 24456 entries:
% 33.63/33.86 ; 1 with value (4 7) 6 with value (4 22) 7 with value (4 37)
% 33.63/33.86 ; 3 with value (4 8) 6063 with value (4 23) 10 with value (4 40)
% 33.63/33.86 ; 1 with value (4 9) 4 with value (4 24) 12 with value (4 41)
% 33.63/33.86 ; 1 with value (4 10) 7 with value (4 25) 6 with value (4 42)
% 33.63/33.86 ; 1 with value (4 13) 13 with value (4 26) 10 with value (4 43)
% 33.63/33.86 ; 8 with value (4 14) 4 with value (4 27) 9 with value (4 44)
% 33.63/33.86 ; 546 with value (4 15) 1 with value (4 28) 9 with value (4 45)
% 33.63/33.86 ; 11 with value (4 16) 2 with value (4 29) 9 with value (4 50)
% 33.63/33.86 ; 2014 with value (4 17) 6 with value (4 31) 6 with value (4 52)
% 33.63/33.86 ; 27 with value (4 18) 5 with value (4 32) 6 with value (4 53)
% 33.63/33.86 ; 5699 with value (4 19) 9 with value (4 33) 9 with value (4 55)
% 33.63/33.86 ; 8 with value (4 20) 4 with value (4 34) 6 with value (4 68)
% 33.63/33.86 ; 9901 with value (4 21) 6 with value (4 35) 6 with value (4 69)
% 33.63/33.86 Evaluation took:
% 33.63/33.86 33.457 seconds of real time
% 33.63/33.86 32.64883 seconds of user run time
% 33.63/33.86 0.798856 seconds of system run time
% 33.63/33.86 [Run times include 1.86 seconds GC run time.]
% 33.63/33.86 0 calls to %EVAL
% 33.63/33.86 0 page faults and
% 33.63/33.86 1,201,874,296 bytes consed.
% 33.63/33.86 :PROOF-FOUND
% 33.63/33.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T07:55:51
% 33.63/33.86 :PROOF-FOUND
% 33.63/33.86 *
%------------------------------------------------------------------------------