TSTP Solution File: SEU141+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:19:26 EDT 2022
% Result : Theorem 2.82s 3.07s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 7 unt; 4 nHn; 9 RR)
% Number of literals : 27 ( 12 equ; 10 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; 0-3 aty)
% Number of variables : 20 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
( X = set_difference(Y,Z)
| ~ in('SKOLEMAAAV5'(X,Y,Z),X)
| ~ in('SKOLEMAAAV5'(X,Y,Z),Y)
| in('SKOLEMAAAV5'(X,Y,Z),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(24,axiom,
( X = set_difference(Y,Z)
| in('SKOLEMAAAV5'(X,Y,Z),X)
| in('SKOLEMAAAV5'(X,Y,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(27,axiom,
( disjoint(X,Y)
| set_intersection2(X,Y) != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(48,axiom,
set_intersection2(X,empty_set) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
cnf(55,axiom,
set_difference(X,empty_set) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
cnf(58,axiom,
( ~ in(X,Y)
| ~ in(X,Z)
| ~ disjoint(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(62,axiom,
set_difference(X,set_difference(X,Y)) = set_intersection2(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
cnf(73,negated_conjecture,
( ~ disjoint('SKOLEMAAAV11','SKOLEMAAAV12')
| set_difference('SKOLEMAAAV11','SKOLEMAAAV12') != 'SKOLEMAAAV11' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(74,negated_conjecture,
( disjoint('SKOLEMAAAV11','SKOLEMAAAV12')
| set_difference('SKOLEMAAAV11','SKOLEMAAAV12') = 'SKOLEMAAAV11' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(79,plain,
( disjoint(X,Y)
| set_difference(X,set_difference(X,Y)) != empty_set ),
inference('REWRITE',[status(thm)],[27,62,theory(equality)]) ).
cnf(87,plain,
set_difference(X,X) = empty_set,
inference('REWRITE',[status(thm)],[48,55,62,theory(equality)]) ).
cnf(327,plain,
( X = set_difference(X,Y)
| in('SKOLEMAAAV5'(X,X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[23,24,24]) ).
cnf(3092,plain,
set_difference('SKOLEMAAAV11','SKOLEMAAAV12') = 'SKOLEMAAAV11',
inference('HYPERRESOLVE',[status(thm)],[58,327,24,74]) ).
cnf(3093,plain,
~ disjoint('SKOLEMAAAV11','SKOLEMAAAV12'),
inference('REWRITE',[status(thm)],[73,3092,theory(equality)]) ).
cnf(3165,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[79,3093]),87,3092,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 01:55:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T01:55:56
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-19T01:55:56
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.50 ; Declaring set_union2 to be commutative.
% 0.20/0.50 ; Declaring set_intersection2 to be commutative.
% 2.82/3.07 ; Declaring disjoint to be commutative.
% 2.82/3.07
% 2.82/3.07 #||
% 2.82/3.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.82/3.07 % SZS output start Refutation
% See solution above
% 2.82/3.07 ||#
% 2.82/3.07
% 2.82/3.07 ; Summary of computation:
% 2.82/3.07 ; 26174 formulas have been input or derived (from 185 formulas).
% 2.82/3.07 ; 3165 (12%) were retained. Of these,
% 2.82/3.07 ; 240 ( 8%) were simplified or subsumed later,
% 2.82/3.07 ; 2925 (92%) are still being kept.
% 2.82/3.07 ;
% 2.82/3.07 ; Run time in seconds excluding printing time:
% 2.82/3.07 ; 0.010 0% Read assertion file (1 call)
% 2.82/3.07 ; 0.003 0% Assert (57 calls)
% 2.82/3.07 ; 0.284 11% Process new row (22,597 calls)
% 2.82/3.07 ; 0.517 20% Resolution (368 calls)
% 2.82/3.07 ; 0.050 2% Paramodulation (184 calls)
% 2.82/3.07 ; 0.000 0% Factoring (51 calls)
% 2.82/3.07 ; 0.175 7% Condensing (13,044 calls)
% 2.82/3.07 ; 0.393 15% Forward subsumption (13,044 calls)
% 2.82/3.07 ; 0.094 4% Backward subsumption (2,199 calls)
% 2.82/3.07 ; 0.204 8% Clause clause subsumption (77,665 calls)
% 2.82/3.07 ; 0.629 24% Forward simplification (22,447 calls)
% 2.82/3.07 ; 0.044 2% Backward simplification (3,162 calls)
% 2.82/3.07 ; 0.089 3% Ordering (30,233 calls)
% 2.82/3.07 ; 0.000 0% Sortal reasoning (32 calls)
% 2.82/3.07 ; 0.000 0% Purity testing (1 call)
% 2.82/3.07 ; 0.095 4% Other
% 2.82/3.07 ; 2.587 Total
% 2.82/3.07 ; 2.589 Real time
% 2.82/3.07 ;
% 2.82/3.07 ; Term-hash-array has 5,702 terms in all.
% 2.82/3.07 ; Feature-vector-row-index has 2,026 entries (2,106 at peak, 2,199 added, 173 deleted).
% 2.82/3.07 ; Feature-vector-row-index has 3,594 nodes (4,092 at peak, 4,218 added, 624 deleted).
% 2.82/3.07 ; Retrieved 117,089 possibly forward subsuming rows in 13,044 calls.
% 2.82/3.07 ; Retrieved 14,570 possibly backward subsumed rows in 2,199 calls.
% 2.82/3.07 ; Path-index has 5,279 entries (5,485 at peak, 5,726 added, 447 deleted).
% 2.82/3.07 ; Path-index has 3,589 nodes (3,768 at peak, 3,909 added, 320 deleted).
% 2.82/3.07 ; Trie-index has 5,279 entries (5,485 at peak, 5,726 added, 447 deleted).
% 2.82/3.07 ; Trie-index has 15,864 nodes (16,674 at peak, 17,240 added, 1,376 deleted).
% 2.82/3.07 ; Retrieved 164,576 generalization terms in 125,802 calls.
% 2.82/3.07 ; Retrieved 3,821 instance terms in 963 calls.
% 2.82/3.07 ; Retrieved 766,323 unifiable terms in 9,374 calls.
% 2.82/3.07 ;
% 2.82/3.07 ; The agenda of rows to process has 19 entries:
% 2.82/3.07 ; 1 with value 11 6 with value 13 8 with value 16
% 2.82/3.07 ; 4 with value 12
% 2.82/3.07 ; The agenda of rows to give has 2746 entries:
% 2.82/3.07 ; 2 with value (4 6) 100 with value (4 31) 6 with value (4 51)
% 2.82/3.07 ; 6 with value (4 8) 99 with value (4 32) 12 with value (4 52)
% 2.82/3.07 ; 5 with value (4 9) 69 with value (4 33) 5 with value (4 53)
% 2.82/3.07 ; 2 with value (4 10) 86 with value (4 34) 8 with value (4 54)
% 2.82/3.07 ; 6 with value (4 11) 49 with value (4 35) 4 with value (4 55)
% 2.82/3.07 ; 43 with value (4 16) 42 with value (4 36) 4 with value (4 56)
% 2.82/3.07 ; 48 with value (4 17) 51 with value (4 37) 7 with value (4 57)
% 2.82/3.07 ; 75 with value (4 18) 34 with value (4 38) 5 with value (4 58)
% 2.82/3.07 ; 110 with value (4 19) 38 with value (4 39) 4 with value (4 59)
% 2.82/3.07 ; 104 with value (4 20) 26 with value (4 40) 7 with value (4 60)
% 2.82/3.07 ; 124 with value (4 21) 29 with value (4 41) 4 with value (4 61)
% 2.82/3.07 ; 145 with value (4 22) 30 with value (4 42) 1 with value (4 62)
% 2.82/3.07 ; 173 with value (4 23) 27 with value (4 43) 1 with value (4 63)
% 2.82/3.07 ; 141 with value (4 24) 25 with value (4 44) 1 with value (4 64)
% 2.82/3.07 ; 190 with value (4 25) 11 with value (4 45) 2 with value (4 65)
% 2.82/3.07 ; 186 with value (4 26) 21 with value (4 46) 1 with value (4 66)
% 2.82/3.07 ; 133 with value (4 27) 17 with value (4 47) 2 with value (4 67)
% 2.82/3.07 ; 137 with value (4 28) 25 with value (4 48) 1 with value (4 69)
% 2.82/3.07 ; 151 with value (4 29) 12 with value (4 49) 3 with value (4 70)
% 2.82/3.07 ; 83 with value (4 30) 11 with value (4 50) 2 with value (4 71)
% 2.82/3.07 Evaluation took:
% 2.82/3.07 2.59 seconds of real time
% 2.82/3.07 2.33408 seconds of user run time
% 2.82/3.07 0.255886 seconds of system run time
% 2.82/3.07 [Run times include 0.155 seconds GC run time.]
% 2.82/3.07 0 calls to %EVAL
% 2.82/3.07 0 page faults and
% 2.82/3.07 231,456,072 bytes consed.
% 2.82/3.07 :PROOF-FOUND
% 2.82/3.07 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T01:55:59
% 2.82/3.07 :PROOF-FOUND
% 2.82/3.07 *
%------------------------------------------------------------------------------