TSTP Solution File: SEU292+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU292+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:20:59 EDT 2022
% Result : Theorem 2.53s 2.69s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of clauses : 20 ( 14 unt; 1 nHn; 20 RR)
% Number of literals : 32 ( 8 equ; 13 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ element(X,powerset(cartesian_product2(Y,Z)))
| relation(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
cnf(5,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| Z = empty_set
| ~ quasi_total(X,Y,Z)
| Y = relation_dom_as_subset(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
cnf(13,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| element(X,powerset(cartesian_product2(Y,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
cnf(59,axiom,
( ~ relation_of2(X,Y,Z)
| relation_dom_as_subset(Y,Z,X) = relation_dom(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
cnf(60,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| relation_of2(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(64,negated_conjecture,
function('SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(65,negated_conjecture,
quasi_total('SKOLEMAAAV21','SKOLEMAAAV18','SKOLEMAAAV19'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(66,negated_conjecture,
relation_of2_as_subset('SKOLEMAAAV21','SKOLEMAAAV18','SKOLEMAAAV19'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(67,negated_conjecture,
relation('SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(68,negated_conjecture,
function('SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(69,negated_conjecture,
in('SKOLEMAAAV20','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(70,negated_conjecture,
'SKOLEMAAAV19' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(71,negated_conjecture,
apply(relation_composition('SKOLEMAAAV21','SKOLEMAAAV22'),'SKOLEMAAAV20') != apply('SKOLEMAAAV22',apply('SKOLEMAAAV21','SKOLEMAAAV20')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
cnf(72,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ in(Z,relation_dom(X))
| apply(relation_composition(X,Y),Z) = apply(Y,apply(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(106,plain,
relation_of2('SKOLEMAAAV21','SKOLEMAAAV18','SKOLEMAAAV19'),
inference('HYPERRESOLVE',[status(thm)],[60,66]) ).
cnf(236,plain,
element('SKOLEMAAAV21',powerset(cartesian_product2('SKOLEMAAAV18','SKOLEMAAAV19'))),
inference('HYPERRESOLVE',[status(thm)],[13,66]) ).
cnf(280,plain,
'SKOLEMAAAV18' = relation_dom_as_subset('SKOLEMAAAV18','SKOLEMAAAV19','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[5,66,70,65]) ).
cnf(348,plain,
'SKOLEMAAAV18' = relation_dom('SKOLEMAAAV21'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,106]),280,theory(equality)]) ).
cnf(9663,plain,
relation('SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[4,236]) ).
cnf(9696,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[72,9663,64,67,68,71]),69,348,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU292+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 01:39:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:39:38
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-20T01:39:38
% 0.21/0.50 WARNING:
% 0.21/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50 WARNING:
% 0.21/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.53/2.69
% 2.53/2.69
% 2.53/2.69 #||
% 2.53/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/2.69 % SZS output start Refutation
% See solution above
% 2.55/2.71 ||#
% 2.55/2.71
% 2.55/2.71 ; Summary of computation:
% 2.55/2.71 ; 29320 formulas have been input or derived (from 304 formulas).
% 2.55/2.71 ; 9696 (33%) were retained. Of these,
% 2.55/2.71 ; 2030 (21%) were simplified or subsumed later,
% 2.55/2.71 ; 7666 (79%) are still being kept.
% 2.55/2.71 ;
% 2.55/2.71 ; Run time in seconds excluding printing time:
% 2.55/2.71 ; 0.010 0% Read assertion file (1 call)
% 2.55/2.71 ; 0.003 0% Assert (56 calls)
% 2.55/2.71 ; 0.600 27% Process new row (28,633 calls)
% 2.55/2.71 ; 1.093 49% Resolution (606 calls)
% 2.55/2.71 ; 0.006 0% Paramodulation (303 calls)
% 2.55/2.71 ; 0.000 0% Factoring (3 calls)
% 2.55/2.71 ; 0.004 0% Condensing (578 calls)
% 2.55/2.71 ; 0.082 4% Forward subsumption (578 calls)
% 2.55/2.71 ; 0.016 1% Backward subsumption (556 calls)
% 2.55/2.71 ; 0.001 0% Clause clause subsumption (862 calls)
% 2.55/2.71 ; 0.117 5% Forward simplification (20,180 calls)
% 2.55/2.71 ; 0.180 8% Backward simplification (9,696 calls)
% 2.55/2.71 ; 0.000 0% Ordering (700 calls)
% 2.55/2.71 ; 0.001 0% Sortal reasoning (32 calls)
% 2.55/2.71 ; 0.001 0% Purity testing (1 call)
% 2.55/2.71 ; 0.100 5% Other
% 2.55/2.71 ; 2.214 Total
% 2.55/2.71 ; 2.232 Real time
% 2.55/2.71 ;
% 2.55/2.71 ; Term-hash-array has 19,080 terms in all.
% 2.55/2.71 ; Feature-vector-row-index has 553 entries (553 at peak, 556 added, 3 deleted).
% 2.55/2.71 ; Feature-vector-row-index has 4,151 nodes (4,151 at peak, 4,166 added, 15 deleted).
% 2.55/2.71 ; Retrieved 581 possibly forward subsuming rows in 578 calls.
% 2.55/2.71 ; Retrieved 381 possibly backward subsumed rows in 556 calls.
% 2.55/2.71 ; Path-index has 15,146 entries (16,116 at peak, 19,104 added, 3,958 deleted).
% 2.55/2.71 ; Path-index has 1,964 nodes (1,964 at peak, 2,043 added, 79 deleted).
% 2.55/2.71 ; Trie-index has 15,146 entries (16,116 at peak, 19,104 added, 3,958 deleted).
% 2.55/2.71 ; Trie-index has 37,711 nodes (39,673 at peak, 43,345 added, 5,634 deleted).
% 2.55/2.71 ; Retrieved 10,985 generalization terms in 38,890 calls.
% 2.55/2.71 ; Retrieved 9,157 instance terms in 9,139 calls.
% 2.55/2.71 ; Retrieved 2,943,500 unifiable terms in 80,658 calls.
% 2.55/2.71 ;
% 2.55/2.71 ; The agenda of rows to process has 404 entries:
% 2.55/2.71 ; 32 with value 9 96 with value 15 18 with value 32
% 2.55/2.71 ; 228 with value 12 12 with value 28 18 with value 40
% 2.55/2.71 ; The agenda of rows to give has 7410 entries:
% 2.55/2.71 ; 29 with value (4 9) 239 with value (4 15) 4 with value (4 25)
% 2.55/2.71 ; 62 with value (4 10) 1990 with value (4 16) 17 with value (4 27)
% 2.55/2.71 ; 848 with value (4 11) 90 with value (4 17) 72 with value (4 31)
% 2.55/2.71 ; 205 with value (4 12) 584 with value (4 18) 2 with value (4 35)
% 2.55/2.71 ; 2030 with value (4 13) 2 with value (4 19) 88 with value (4 39)
% 2.55/2.71 ; 823 with value (4 14) 1 with value (4 20) 324 with value (4 43)
% 2.55/2.71 Evaluation took:
% 2.55/2.71 2.233 seconds of real time
% 2.55/2.71 2.09511 seconds of user run time
% 2.55/2.71 0.138012 seconds of system run time
% 2.55/2.71 [Run times include 0.24 seconds GC run time.]
% 2.55/2.71 0 calls to %EVAL
% 2.55/2.71 0 page faults and
% 2.55/2.71 163,798,416 bytes consed.
% 2.55/2.71 :PROOF-FOUND
% 2.55/2.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T01:39:41
% 2.55/2.71 :PROOF-FOUND
% 2.55/2.71 *
%------------------------------------------------------------------------------