%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU141+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 5 unt; 8 nHn; 14 RR)
% Number of literals : 40 ( 12 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(8,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(13,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(15,axiom,
( X = set_difference(Y,Z)
| ~ in('SKOLEMAAAU3'(X,Y,Z),X)
| ~ in('SKOLEMAAAU3'(X,Y,Z),Y)
| in('SKOLEMAAAU3'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(16,axiom,
( X = set_difference(Y,Z)
| in('SKOLEMAAAU3'(X,Y,Z),X)
| in('SKOLEMAAAU3'(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(18,axiom,
( ~ disjoint(X,Y)
| set_intersection2(X,Y) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(20,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(28,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAU6'(X,Y),set_intersection2(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(31,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(32,negated_conjecture,
( ~ disjoint('SKOLEMAAAU7','SKOLEMAAAU8')
| set_difference('SKOLEMAAAU7','SKOLEMAAAU8') != 'SKOLEMAAAU7' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(33,negated_conjecture,
( disjoint('SKOLEMAAAU7','SKOLEMAAAU8')
| set_difference('SKOLEMAAAU7','SKOLEMAAAU8') = 'SKOLEMAAAU7' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(36,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[31,20]) ).
cnf(40,plain,
( set_difference('SKOLEMAAAU7','SKOLEMAAAU8') = 'SKOLEMAAAU7'
| set_intersection2('SKOLEMAAAU7','SKOLEMAAAU8') = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[18,33]) ).
cnf(44,plain,
( disjoint(X,Y)
| in('SKOLEMAAAU6'(X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[7,28,theory(equality)]) ).
cnf(45,plain,
( disjoint(X,Y)
| in('SKOLEMAAAU6'(X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[7,28,theory(equality)]) ).
cnf(96,plain,
( X = set_difference(X,Y)
| in('SKOLEMAAAU3'(X,X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[15,16,16]) ).
cnf(177,plain,
set_difference('SKOLEMAAAU7','SKOLEMAAAU8') = 'SKOLEMAAAU7',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,96,40,16]),36]) ).
cnf(178,plain,
~ disjoint('SKOLEMAAAU7','SKOLEMAAAU8'),
inference('REWRITE',[status(thm)],[32,177,theory(equality)]) ).
cnf(203,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,177,44,45]),178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU141+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 03:56:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T03:56:23
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-19T03:56:23
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.47 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.47 ; Declaring set_intersection2 to be commutative.
% 0.60/0.77 ; Declaring disjoint to be commutative.
% 0.60/0.77
% 0.60/0.77 #||
% 0.60/0.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.77 % SZS output start Refutation
% See solution above
% 0.60/0.77 ||#
% 0.60/0.77
% 0.60/0.77 ; Summary of computation:
% 0.60/0.77 ; 5315 formulas have been input or derived (from 66 formulas).
% 0.60/0.77 ; 203 ( 4%) were retained. Of these,
% 0.60/0.77 ; 26 (13%) were simplified or subsumed later,
% 0.60/0.77 ; 177 (87%) are still being kept.
% 0.60/0.77 ;
% 0.60/0.77 ; Run time in seconds excluding printing time:
% 0.60/0.77 ; 0.004 1% Read assertion file (1 call)
% 0.60/0.77 ; 0.002 1% Assert (24 calls)
% 0.60/0.77 ; 0.040 13% Process new row (3,380 calls)
% 0.60/0.77 ; 0.104 34% Resolution (130 calls)
% 0.60/0.77 ; 0.001 0% Paramodulation (65 calls)
% 0.60/0.77 ; 0.000 0% Factoring (22 calls)
% 0.60/0.77 ; 0.016 5% Condensing (1,678 calls)
% 0.60/0.77 ; 0.024 8% Forward subsumption (1,678 calls)
% 0.60/0.77 ; 0.004 1% Backward subsumption (164 calls)
% 0.60/0.77 ; 0.020 6% Clause clause subsumption (2,929 calls)
% 0.60/0.77 ; 0.040 13% Forward simplification (3,370 calls)
% 0.60/0.77 ; 0.002 1% Backward simplification (203 calls)
% 0.60/0.77 ; 0.012 4% Ordering (4,247 calls)
% 0.60/0.77 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.77 ; 0.000 0% Purity testing (1 call)
% 0.60/0.77 ; 0.040 13% Other
% 0.60/0.77 ; 0.309 Total
% 0.60/0.77 ; 0.310 Real time
% 0.60/0.77 ;
% 0.60/0.77 ; Term-hash-array has 383 terms in all.
% 0.60/0.77 ; Feature-vector-row-index has 139 entries (152 at peak, 164 added, 25 deleted).
% 0.60/0.77 ; Feature-vector-row-index has 280 nodes (394 at peak, 419 added, 139 deleted).
% 0.60/0.77 ; Retrieved 6,037 possibly forward subsuming rows in 1,678 calls.
% 0.60/0.77 ; Retrieved 263 possibly backward subsumed rows in 164 calls.
% 0.60/0.77 ; Path-index has 342 entries (342 at peak, 400 added, 58 deleted).
% 0.60/0.77 ; Path-index has 353 nodes (353 at peak, 418 added, 65 deleted).
% 0.60/0.77 ; Trie-index has 342 entries (342 at peak, 400 added, 58 deleted).
% 0.60/0.77 ; Trie-index has 712 nodes (712 at peak, 848 added, 136 deleted).
% 0.60/0.77 ; Retrieved 6,786 generalization terms in 9,288 calls.
% 0.60/0.77 ; Retrieved 66 instance terms in 38 calls.
% 0.60/0.77 ; Retrieved 48,886 unifiable terms in 1,803 calls.
% 0.60/0.77 ;
% 0.60/0.77 ; The agenda of rows to process has 111 entries:
% 0.60/0.77 ; 2 with value 7 6 with value 17 6 with value 23
% 0.60/0.77 ; 8 with value 10 15 with value 18 4 with value 24
% 0.60/0.77 ; 1 with value 11 1 with value 19 15 with value 26
% 0.60/0.77 ; 2 with value 14 9 with value 20 9 with value 28
% 0.60/0.77 ; 8 with value 15 7 with value 21 9 with value 34
% 0.60/0.77 ; 2 with value 16 4 with value 22 3 with value 35
% 0.60/0.77 ; The agenda of rows to give has 115 entries:
% 0.60/0.77 ; 4 with value (4 9) 7 with value (4 19) 1 with value (4 26)
% 0.60/0.77 ; 7 with value (4 10) 10 with value (4 20) 13 with value (4 27)
% 0.60/0.77 ; 1 with value (4 12) 7 with value (4 21) 6 with value (4 31)
% 0.60/0.77 ; 1 with value (4 14) 4 with value (4 22) 6 with value (4 32)
% 0.60/0.77 ; 4 with value (4 15) 11 with value (4 23) 6 with value (4 33)
% 0.60/0.77 ; 3 with value (4 16) 14 with value (4 24) 6 with value (4 34)
% 0.60/0.77 ; 3 with value (4 18) 1 with value (4 25)
% 0.60/0.77 Evaluation took:
% 0.60/0.77 0.311 seconds of real time
% 0.60/0.77 0.261993 seconds of user run time
% 0.60/0.77 0.048961 seconds of system run time
% 0.60/0.77 [Run times include 0.005 seconds GC run time.]
% 0.60/0.77 0 calls to %EVAL
% 0.60/0.77 0 page faults and
% 0.60/0.77 21,486,112 bytes consed.
% 0.60/0.77 :PROOF-FOUND
% 0.60/0.77 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T03:56:23
% 0.60/0.77 :PROOF-FOUND
% 0.60/0.77 *
%------------------------------------------------------------------------------