%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU174+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:19:50 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 12 unt; 1 nHn; 11 RR)
% Number of literals : 23 ( 8 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ element(X,powerset(powerset(Y)))
| ~ element(Z,powerset(powerset(Y)))
| Z = complements_of_subsets(Y,X)
| in('SKOLEMAAAV2'(Y,Z,X),Z)
| in(subset_complement(Y,'SKOLEMAAAV2'(Y,Z,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_setfam_1) ).
cnf(14,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(16,axiom,
( ~ element(X,powerset(powerset(Y)))
| complements_of_subsets(Y,complements_of_subsets(Y,X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
cnf(20,axiom,
element('SKOLEMAAAV6'(X),powerset(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(21,axiom,
empty('SKOLEMAAAV6'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(28,negated_conjecture,
element('SKOLEMAAAV9',powerset(powerset('SKOLEMAAAV8'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(29,negated_conjecture,
'SKOLEMAAAV9' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(30,negated_conjecture,
complements_of_subsets('SKOLEMAAAV8','SKOLEMAAAV9') = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(33,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(34,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(38,plain,
'SKOLEMAAAV6'(X) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[33,21]) ).
cnf(39,plain,
element(empty_set,powerset(X)),
inference('REWRITE',[status(thm)],[20,38,theory(equality)]) ).
cnf(40,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[34,14]) ).
cnf(69,plain,
complements_of_subsets('SKOLEMAAAV8',empty_set) = 'SKOLEMAAAV9',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,28]),30,theory(equality)]) ).
cnf(90,plain,
empty_set = complements_of_subsets(X,empty_set),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,39,39]),40]) ).
cnf(91,plain,
$false,
inference('REWRITE',[status(thm)],[69,29,90,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU174+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 04:03:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T04:03:40
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-19T04:03:40
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 143 formulas have been input or derived (from 37 formulas).
% 0.18/0.51 ; 91 (64%) were retained. Of these,
% 0.18/0.51 ; 9 (10%) were simplified or subsumed later,
% 0.18/0.51 ; 82 (90%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.005 10% Read assertion file (1 call)
% 0.18/0.51 ; 0.002 4% Assert (27 calls)
% 0.18/0.51 ; 0.005 10% Process new row (111 calls)
% 0.18/0.51 ; 0.005 10% Resolution (72 calls)
% 0.18/0.51 ; 0.001 2% Paramodulation (36 calls)
% 0.18/0.51 ; 0.000 0% Factoring (2 calls)
% 0.18/0.51 ; 0.001 2% Condensing (46 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (46 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (46 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.18/0.51 ; 0.004 8% Forward simplification (110 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (91 calls)
% 0.18/0.51 ; 0.000 0% Ordering (62 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.025 50% Other
% 0.18/0.51 ; 0.050 Total
% 0.18/0.51 ; 0.052 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 172 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 43 entries (46 at peak, 46 added, 3 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 252 nodes (275 at peak, 275 added, 23 deleted).
% 0.18/0.51 ; Retrieved 2 possibly forward subsuming rows in 46 calls.
% 0.18/0.51 ; Retrieved 3 possibly backward subsumed rows in 46 calls.
% 0.18/0.51 ; Path-index has 161 entries (174 at peak, 177 added, 16 deleted).
% 0.18/0.51 ; Path-index has 359 nodes (364 at peak, 367 added, 8 deleted).
% 0.18/0.51 ; Trie-index has 161 entries (174 at peak, 177 added, 16 deleted).
% 0.18/0.51 ; Trie-index has 495 nodes (519 at peak, 526 added, 31 deleted).
% 0.18/0.51 ; Retrieved 80 generalization terms in 200 calls.
% 0.18/0.51 ; Retrieved 59 instance terms in 44 calls.
% 0.18/0.51 ; Retrieved 4,122 unifiable terms in 511 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.18/0.51 ; 5 with value 0
% 0.18/0.51 ; The agenda of rows to process has 12 entries:
% 0.18/0.51 ; 2 with value 45 2 with value 48 2 with value 60
% 0.18/0.51 ; 2 with value 46 1 with value 54 1 with value 61
% 0.18/0.51 ; 2 with value 47
% 0.18/0.51 ; The agenda of rows to give has 48 entries:
% 0.18/0.51 ; 1 with value (4 4) 1 with value (4 12) 2 with value (4 25)
% 0.18/0.51 ; 3 with value (4 5) 1 with value (4 13) 1 with value (4 26)
% 0.18/0.51 ; 1 with value (4 6) 4 with value (4 14) 3 with value (4 29)
% 0.18/0.51 ; 5 with value (4 7) 1 with value (4 16) 2 with value (4 30)
% 0.18/0.51 ; 3 with value (4 8) 3 with value (4 17) 1 with value (4 32)
% 0.18/0.51 ; 4 with value (4 9) 2 with value (4 20) 1 with value (4 33)
% 0.18/0.51 ; 4 with value (4 10) 1 with value (4 22) 1 with value (4 35)
% 0.18/0.51 ; 3 with value (4 11)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.053 seconds of real time
% 0.18/0.51 0.047061 seconds of user run time
% 0.18/0.51 0.005882 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,357,664 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T04:03:40
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------