TSTP Solution File: SEU325+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU325+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 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 17 unt; 1 nHn; 18 RR)
% Number of literals : 35 ( 11 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(26,axiom,
( ~ one_sorted_str(X)
| cast_as_carrier_subset(X) = the_carrier(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
cnf(32,axiom,
( X = union(Y)
| in('SKOLEMAAAV2'(X,Y),X)
| in('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
cnf(33,axiom,
( ~ one_sorted_str(X)
| ~ element(Y,powerset(powerset(the_carrier(X))))
| ~ is_a_cover_of_carrier(X,Y)
| cast_as_carrier_subset(X) = union_of_subsets(the_carrier(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_pre_topc) ).
cnf(39,axiom,
( empty_carrier(X)
| ~ one_sorted_str(X)
| ~ empty(the_carrier(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(42,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
cnf(56,axiom,
element('SKOLEMAAAV8'(X),powerset(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(57,axiom,
empty('SKOLEMAAAV8'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(62,axiom,
( ~ element(X,powerset(powerset(Y)))
| union_of_subsets(Y,X) = union(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
cnf(70,negated_conjecture,
~ empty_carrier('SKOLEMAAAV11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
cnf(71,negated_conjecture,
one_sorted_str('SKOLEMAAAV11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
cnf(73,negated_conjecture,
is_a_cover_of_carrier('SKOLEMAAAV11','SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
cnf(74,negated_conjecture,
'SKOLEMAAAV12' = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).
cnf(75,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(76,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(79,plain,
is_a_cover_of_carrier('SKOLEMAAAV11',empty_set),
inference('REWRITE',[status(thm)],[73,74,theory(equality)]) ).
cnf(85,plain,
'SKOLEMAAAV8'(X) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[75,57]) ).
cnf(86,plain,
element(empty_set,powerset(X)),
inference('REWRITE',[status(thm)],[56,85,theory(equality)]) ).
cnf(87,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[76,42]) ).
cnf(90,plain,
cast_as_carrier_subset('SKOLEMAAAV11') = the_carrier('SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[26,71]) ).
cnf(99,plain,
~ empty(cast_as_carrier_subset('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[39,70,71]),90,theory(equality)]) ).
cnf(130,plain,
union_of_subsets(X,empty_set) = union(empty_set),
inference('HYPERRESOLVE',[status(thm)],[62,86]) ).
cnf(147,plain,
cast_as_carrier_subset('SKOLEMAAAV11') = union(empty_set),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,71,86,79]),130,90,theory(equality)]) ).
cnf(152,plain,
empty_set = cast_as_carrier_subset('SKOLEMAAAV11'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,87,87]),147,theory(equality)]) ).
cnf(154,plain,
$false,
inference('REWRITE',[status(thm)],[99,42,152,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 09:55:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T09:55:44
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-19T09:55:44
% 0.21/0.52 WARNING:
% 0.21/0.52 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.52 WARNING:
% 0.21/0.52 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.52 WARNING:
% 0.21/0.52 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.52 WARNING:
% 0.21/0.52 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.52 WARNING:
% 0.21/0.52 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 #||
% 0.21/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.56 % SZS output start Refutation
% See solution above
% 0.21/0.57 ||#
% 0.21/0.57
% 0.21/0.57 ; Summary of computation:
% 0.21/0.57 ; 383 formulas have been input or derived (from 79 formulas).
% 0.21/0.57 ; 154 (40%) were retained. Of these,
% 0.21/0.57 ; 24 (16%) were simplified or subsumed later,
% 0.21/0.57 ; 130 (84%) are still being kept.
% 0.21/0.57 ;
% 0.21/0.57 ; Run time in seconds excluding printing time:
% 0.21/0.57 ; 0.009 14% Read assertion file (1 call)
% 0.21/0.57 ; 0.002 3% Assert (49 calls)
% 0.21/0.57 ; 0.013 20% Process new row (308 calls)
% 0.21/0.57 ; 0.004 6% Resolution (156 calls)
% 0.21/0.57 ; 0.000 0% Paramodulation (78 calls)
% 0.21/0.57 ; 0.000 0% Factoring (3 calls)
% 0.21/0.57 ; 0.003 5% Condensing (70 calls)
% 0.21/0.57 ; 0.001 2% Forward subsumption (70 calls)
% 0.21/0.57 ; 0.002 3% Backward subsumption (68 calls)
% 0.21/0.57 ; 0.000 0% Clause clause subsumption (24 calls)
% 0.21/0.57 ; 0.002 3% Forward simplification (293 calls)
% 0.21/0.57 ; 0.003 5% Backward simplification (154 calls)
% 0.21/0.57 ; 0.000 0% Ordering (86 calls)
% 0.21/0.57 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.57 ; 0.001 2% Purity testing (1 call)
% 0.21/0.57 ; 0.024 37% Other
% 0.21/0.57 ; 0.065 Total
% 0.21/0.57 ; 0.068 Real time
% 0.21/0.57 ;
% 0.21/0.57 ; Term-hash-array has 240 terms in all.
% 0.21/0.57 ; Feature-vector-row-index has 66 entries (67 at peak, 68 added, 2 deleted).
% 0.21/0.57 ; Feature-vector-row-index has 244 nodes (250 at peak, 254 added, 10 deleted).
% 0.39/0.57 ; Retrieved 20 possibly forward subsuming rows in 70 calls.
% 0.39/0.57 ; Retrieved 10 possibly backward subsumed rows in 68 calls.
% 0.39/0.57 ; Path-index has 215 entries (227 at peak, 254 added, 39 deleted).
% 0.39/0.57 ; Path-index has 468 nodes (480 at peak, 508 added, 40 deleted).
% 0.39/0.57 ; Trie-index has 215 entries (227 at peak, 254 added, 39 deleted).
% 0.39/0.57 ; Trie-index has 455 nodes (479 at peak, 539 added, 84 deleted).
% 0.39/0.57 ; Retrieved 196 generalization terms in 330 calls.
% 0.39/0.57 ; Retrieved 98 instance terms in 85 calls.
% 0.39/0.57 ; Retrieved 2,821 unifiable terms in 697 calls.
% 0.39/0.57 ;
% 0.39/0.57 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.39/0.57 ; 6 with value 0
% 0.39/0.57 ; The agenda of rows to process has 1 entry:
% 0.39/0.57 ; 1 with value 15
% 0.39/0.57 ; The agenda of rows to give has 53 entries:
% 0.39/0.57 ; 1 with value (4 5) 1 with value (4 12) 2 with value (4 22)
% 0.39/0.57 ; 9 with value (4 6) 1 with value (4 13) 1 with value (4 23)
% 0.39/0.57 ; 5 with value (4 7) 1 with value (4 14) 2 with value (4 30)
% 0.39/0.57 ; 15 with value (4 8) 1 with value (4 15) 2 with value (4 33)
% 0.39/0.57 ; 2 with value (4 9) 1 with value (4 18) 1 with value (4 44)
% 0.39/0.57 ; 4 with value (4 10) 1 with value (4 21) 1 with value (4 46)
% 0.39/0.57 ; 2 with value (4 11)
% 0.39/0.57 Evaluation took:
% 0.39/0.57 0.068 seconds of real time
% 0.39/0.57 0.059541 seconds of user run time
% 0.39/0.57 0.009147 seconds of system run time
% 0.39/0.57 0 calls to %EVAL
% 0.39/0.57 0 page faults and
% 0.39/0.57 4,421,840 bytes consed.
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T09:55:44
% 0.39/0.57 :PROOF-FOUND
% 0.39/0.57 *
%------------------------------------------------------------------------------