%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET960+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 05:13:42 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 5 unt; 5 nHn; 9 RR)
% Number of literals : 29 ( 18 equ; 11 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(3,axiom,
( X = empty_set
| in('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(7,axiom,
( X != cartesian_product2(Y,Z)
| in(U,X)
| ~ in(V,Y)
| ~ in(W,Z)
| U != ordered_pair(V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(9,axiom,
( X = cartesian_product2(Y,Z)
| in('SKOLEMAAAV4'(X,Y,Z),X)
| in('SKOLEMAAAV5'(Y,Z,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(10,axiom,
( X = cartesian_product2(Y,Z)
| in('SKOLEMAAAV4'(X,Y,Z),X)
| in('SKOLEMAAAV6'(Y,Z,X),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(17,negated_conjecture,
( cartesian_product2('SKOLEMAAAV9','SKOLEMAAAV10') != empty_set
| 'SKOLEMAAAV9' != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(18,negated_conjecture,
( cartesian_product2('SKOLEMAAAV9','SKOLEMAAAV10') != empty_set
| 'SKOLEMAAAV10' != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(19,negated_conjecture,
( cartesian_product2('SKOLEMAAAV9','SKOLEMAAAV10') = empty_set
| 'SKOLEMAAAV9' = empty_set
| 'SKOLEMAAAV10' = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(20,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(36,plain,
( 'SKOLEMAAAV9' = empty_set
| 'SKOLEMAAAV10' = empty_set ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,19,3,3,theory(equality)]),20]) ).
cnf(59,plain,
empty_set = cartesian_product2(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[10,20,20]) ).
cnf(61,plain,
empty_set = cartesian_product2(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[9,20,20]) ).
cnf(63,plain,
'SKOLEMAAAV10' = empty_set,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,36,theory(equality)]),61,theory(equality)]) ).
cnf(65,plain,
$false,
inference('REWRITE',[status(thm)],[18,59,63,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET960+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n006.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 : Sun Jul 10 07:12:51 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T07:12:51
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-10T07:12:51
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.56 ; Declaring unordered_pair to be commutative.
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 133 formulas have been input or derived (from 22 formulas).
% 0.39/0.56 ; 65 (49%) were retained. Of these,
% 0.39/0.56 ; 10 (15%) were simplified or subsumed later,
% 0.39/0.56 ; 55 (85%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds excluding printing time:
% 0.39/0.56 ; 0.002 3% Read assertion file (1 call)
% 0.39/0.56 ; 0.002 3% Assert (10 calls)
% 0.39/0.56 ; 0.008 14% Process new row (127 calls)
% 0.39/0.56 ; 0.006 10% Resolution (42 calls)
% 0.39/0.56 ; 0.000 0% Paramodulation (21 calls)
% 0.39/0.56 ; 0.001 2% Factoring (6 calls)
% 0.39/0.56 ; 0.004 7% Condensing (82 calls)
% 0.39/0.56 ; 0.001 2% Forward subsumption (82 calls)
% 0.39/0.56 ; 0.002 3% Backward subsumption (50 calls)
% 0.39/0.56 ; 0.002 3% Clause clause subsumption (74 calls)
% 0.39/0.56 ; 0.004 7% Forward simplification (109 calls)
% 0.39/0.56 ; 0.001 2% Backward simplification (65 calls)
% 0.39/0.56 ; 0.002 3% Ordering (278 calls)
% 0.39/0.56 ; 0.001 2% Sortal reasoning (32 calls)
% 0.39/0.56 ; 0.000 0% Purity testing (1 call)
% 0.39/0.56 ; 0.023 39% Other
% 0.39/0.56 ; 0.059 Total
% 0.39/0.56 ; 0.061 Real time
% 0.39/0.56 ;
% 0.39/0.56 ; Term-hash-array has 184 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 42 entries (45 at peak, 50 added, 8 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 229 nodes (256 at peak, 282 added, 53 deleted).
% 0.39/0.56 ; Retrieved 83 possibly forward subsuming rows in 82 calls.
% 0.39/0.56 ; Retrieved 12 possibly backward subsumed rows in 50 calls.
% 0.39/0.56 ; Path-index has 173 entries (179 at peak, 195 added, 22 deleted).
% 0.39/0.56 ; Path-index has 771 nodes (777 at peak, 799 added, 28 deleted).
% 0.39/0.56 ; Trie-index has 173 entries (179 at peak, 195 added, 22 deleted).
% 0.39/0.56 ; Trie-index has 739 nodes (750 at peak, 785 added, 46 deleted).
% 0.39/0.56 ; Retrieved 26 generalization terms in 159 calls.
% 0.39/0.56 ; Retrieved 16 instance terms in 14 calls.
% 0.39/0.56 ; Retrieved 1,965 unifiable terms in 213 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.39/0.56 ; 1 with value 0
% 0.39/0.56 ; The agenda of rows to process has 3 entries:
% 0.39/0.56 ; 2 with value 21 1 with value 30
% 0.39/0.56 ; The agenda of input rows to give has 1 entry:
% 0.39/0.56 ; 1 with value 4
% 0.39/0.56 ; The agenda of rows to give has 36 entries:
% 0.39/0.56 ; 1 with value (4 6) 1 with value (4 25) 4 with value (4 47)
% 0.39/0.56 ; 2 with value (4 9) 1 with value (4 33) 2 with value (4 49)
% 0.39/0.56 ; 2 with value (4 13) 4 with value (4 34) 2 with value (4 53)
% 0.39/0.56 ; 1 with value (4 19) 4 with value (4 37) 4 with value (4 56)
% 0.39/0.56 ; 1 with value (4 20) 2 with value (4 43) 2 with value (4 65)
% 0.39/0.56 ; 3 with value (4 21)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.062 seconds of real time
% 0.39/0.56 0.05613 seconds of user run time
% 0.39/0.56 0.005977 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 3,697,232 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T07:12:51
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------