%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU326+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:21:19 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 1 nHn; 10 RR)
% Number of literals : 23 ( 12 equ; 8 neg)
% Maximal clause size : 3 ( 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 : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(26,axiom,
( ~ element(X,powerset(powerset(Y)))
| element(complements_of_subsets(Y,X),powerset(powerset(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
cnf(35,axiom,
( ~ element(X,powerset(powerset(Y)))
| complements_of_subsets(Y,complements_of_subsets(Y,X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
cnf(44,axiom,
element('SKOLEMAAAU4'(X),powerset(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(45,axiom,
empty('SKOLEMAAAU4'(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(47,negated_conjecture,
element('SKOLEMAAAU6',powerset(powerset('SKOLEMAAAU5'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tops_2) ).
cnf(48,negated_conjecture,
( 'SKOLEMAAAU6' != empty_set
| complements_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6') != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tops_2) ).
cnf(49,negated_conjecture,
( complements_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6') = empty_set
| 'SKOLEMAAAU6' = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tops_2) ).
cnf(54,axiom,
( ~ element(X,powerset(powerset(Y)))
| X = empty_set
| complements_of_subsets(Y,X) != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(57,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
cnf(65,plain,
'SKOLEMAAAU4'(X) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[57,45]) ).
cnf(66,plain,
element(empty_set,powerset(X)),
inference('REWRITE',[status(thm)],[44,65,theory(equality)]) ).
cnf(100,plain,
element(complements_of_subsets(X,empty_set),powerset(powerset(X))),
inference('HYPERRESOLVE',[status(thm)],[26,66]) ).
cnf(104,plain,
complements_of_subsets(X,complements_of_subsets(X,empty_set)) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[35,66]) ).
cnf(107,plain,
'SKOLEMAAAU6' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[54,47,49]) ).
cnf(108,plain,
complements_of_subsets('SKOLEMAAAU5',empty_set) != empty_set,
inference('REWRITE',[status(thm)],[48,107,theory(equality)]) ).
cnf(216,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[54,100,108]),104,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU326+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n013.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 Jun 19 19:04:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:04:59
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-19T19:04:59
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.57
% 0.20/0.57
% 0.20/0.57 #||
% 0.20/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.57 % SZS output start Refutation
% See solution above
% 0.20/0.57 ||#
% 0.20/0.57
% 0.20/0.57 ; Summary of computation:
% 0.20/0.57 ; 1081 formulas have been input or derived (from 118 formulas).
% 0.20/0.57 ; 216 (20%) were retained. Of these,
% 0.20/0.57 ; 31 (14%) were simplified or subsumed later,
% 0.20/0.57 ; 185 (86%) are still being kept.
% 0.20/0.57 ;
% 0.20/0.57 ; Run time in seconds excluding printing time:
% 0.20/0.57 ; 0.008 9% Read assertion file (1 call)
% 0.20/0.57 ; 0.002 2% Assert (38 calls)
% 0.20/0.57 ; 0.018 21% Process new row (936 calls)
% 0.20/0.57 ; 0.014 16% Resolution (234 calls)
% 0.20/0.57 ; 0.001 1% Paramodulation (117 calls)
% 0.20/0.57 ; 0.000 0% Factoring (5 calls)
% 0.20/0.57 ; 0.000 0% Condensing (78 calls)
% 0.20/0.57 ; 0.001 1% Forward subsumption (78 calls)
% 0.20/0.57 ; 0.001 1% Backward subsumption (56 calls)
% 0.20/0.57 ; 0.000 0% Clause clause subsumption (28 calls)
% 0.20/0.57 ; 0.007 8% Forward simplification (914 calls)
% 0.20/0.57 ; 0.003 3% Backward simplification (216 calls)
% 0.20/0.57 ; 0.000 0% Ordering (53 calls)
% 0.20/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.57 ; 0.001 1% Purity testing (1 call)
% 0.20/0.57 ; 0.031 36% Other
% 0.20/0.57 ; 0.087 Total
% 0.20/0.57 ; 0.089 Real time
% 0.20/0.57 ;
% 0.20/0.57 ; Term-hash-array has 267 terms in all.
% 0.20/0.58 ; Feature-vector-row-index has 49 entries (52 at peak, 56 added, 7 deleted).
% 0.20/0.58 ; Feature-vector-row-index has 184 nodes (222 at peak, 254 added, 70 deleted).
% 0.20/0.58 ; Retrieved 26 possibly forward subsuming rows in 78 calls.
% 0.20/0.58 ; Retrieved 4 possibly backward subsumed rows in 56 calls.
% 0.20/0.58 ; Path-index has 234 entries (234 at peak, 272 added, 38 deleted).
% 0.20/0.58 ; Path-index has 595 nodes (595 at peak, 641 added, 46 deleted).
% 0.20/0.58 ; Trie-index has 234 entries (234 at peak, 272 added, 38 deleted).
% 0.20/0.58 ; Trie-index has 625 nodes (625 at peak, 694 added, 69 deleted).
% 0.20/0.58 ; Retrieved 790 generalization terms in 1,046 calls.
% 0.20/0.58 ; Retrieved 174 instance terms in 159 calls.
% 0.20/0.58 ; Retrieved 4,500 unifiable terms in 1,682 calls.
% 0.20/0.58 ;
% 0.20/0.58 ; The agenda of rows to process has 5 entries:
% 0.20/0.58 ; 1 with value 12 1 with value 17 1 with value 19
% 0.20/0.58 ; 1 with value 14 1 with value 18
% 0.20/0.58 ; The agenda of rows to give has 79 entries:
% 0.20/0.58 ; 2 with value (4 10) 11 with value (4 14) 9 with value (4 18)
% 0.20/0.58 ; 16 with value (4 11) 6 with value (4 15) 1 with value (4 19)
% 0.20/0.58 ; 11 with value (4 12) 5 with value (4 16) 1 with value (4 20)
% 0.20/0.58 ; 14 with value (4 13) 3 with value (4 17)
% 0.20/0.58 Evaluation took:
% 0.20/0.58 0.09 seconds of real time
% 0.20/0.58 0.071795 seconds of user run time
% 0.20/0.58 0.017794 seconds of system run time
% 0.20/0.58 0 calls to %EVAL
% 0.20/0.58 0 page faults and
% 0.20/0.58 4,786,088 bytes consed.
% 0.20/0.58 :PROOF-FOUND
% 0.20/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:04:59
% 0.20/0.58 :PROOF-FOUND
% 0.20/0.58 *
%------------------------------------------------------------------------------