TSTP Solution File: SEU019+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:18:45 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 13 unt; 3 nHn; 16 RR)
% Number of literals : 38 ( 11 equ; 18 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| in('SKOLEMAAAU1'(X),relation_dom(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| in('SKOLEMAAAU2'(X),relation_dom(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(7,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| apply(X,'SKOLEMAAAU1'(X)) = apply(X,'SKOLEMAAAU2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(8,axiom,
( ~ relation(X)
| ~ function(X)
| one_to_one(X)
| 'SKOLEMAAAU1'(X) != 'SKOLEMAAAU2'(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
cnf(9,axiom,
relation(identity_relation(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
cnf(14,axiom,
function(identity_relation(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
cnf(34,axiom,
( ~ relation(X)
| ~ function(X)
| X != identity_relation(Y)
| relation_dom(X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
cnf(35,axiom,
( ~ relation(X)
| ~ function(X)
| X != identity_relation(Y)
| ~ in(Z,Y)
| apply(X,Z) = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
cnf(41,negated_conjecture,
~ one_to_one(identity_relation('SKOLEMAAAU13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_funct_1) ).
cnf(78,plain,
in('SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13')),relation_dom(identity_relation('SKOLEMAAAU13'))),
inference('UR-RESOLVE',[status(thm)],[5,9,14,41]) ).
cnf(81,plain,
in('SKOLEMAAAU2'(identity_relation('SKOLEMAAAU13')),relation_dom(identity_relation('SKOLEMAAAU13'))),
inference('UR-RESOLVE',[status(thm)],[6,9,14,41]) ).
cnf(83,plain,
'SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13')) != 'SKOLEMAAAU2'(identity_relation('SKOLEMAAAU13')),
inference('UR-RESOLVE',[status(thm)],[8,9,14,41]) ).
cnf(84,plain,
relation_dom(identity_relation(X)) = X,
inference('HYPERRESOLVE',[status(thm)],[34,9,14,theory(equality)]) ).
cnf(87,plain,
in('SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13')),'SKOLEMAAAU13'),
inference('REWRITE',[status(thm)],[78,84,theory(equality)]) ).
cnf(88,plain,
in('SKOLEMAAAU2'(identity_relation('SKOLEMAAAU13')),'SKOLEMAAAU13'),
inference('REWRITE',[status(thm)],[81,84,theory(equality)]) ).
cnf(90,plain,
apply(identity_relation('SKOLEMAAAU13'),'SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13'))) = apply(identity_relation('SKOLEMAAAU13'),'SKOLEMAAAU2'(identity_relation('SKOLEMAAAU13'))),
inference('UR-RESOLVE',[status(thm)],[7,9,14,41]) ).
cnf(148,plain,
apply(identity_relation('SKOLEMAAAU13'),'SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13'))) = 'SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13')),
inference('HYPERRESOLVE',[status(thm)],[35,87,9,14,theory(equality)]) ).
cnf(149,plain,
'SKOLEMAAAU1'(identity_relation('SKOLEMAAAU13')) = apply(identity_relation('SKOLEMAAAU13'),'SKOLEMAAAU2'(identity_relation('SKOLEMAAAU13'))),
inference('REWRITE',[status(thm)],[90,148,theory(equality)]) ).
cnf(162,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[35,88,9,14,theory(equality)]),83,149,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 14:14:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T14:14:39
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T14:14:39
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 325 formulas have been input or derived (from 85 formulas).
% 0.19/0.54 ; 162 (50%) were retained. Of these,
% 0.19/0.54 ; 22 (14%) were simplified or subsumed later,
% 0.19/0.54 ; 140 (86%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.005 8% Read assertion file (1 call)
% 0.19/0.54 ; 0.002 3% Assert (32 calls)
% 0.19/0.54 ; 0.016 26% Process new row (263 calls)
% 0.19/0.54 ; 0.008 13% Resolution (168 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (84 calls)
% 0.19/0.54 ; 0.000 0% Factoring (1 call)
% 0.19/0.54 ; 0.001 2% Condensing (50 calls)
% 0.19/0.54 ; 0.001 2% Forward subsumption (50 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (49 calls)
% 0.19/0.54 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.19/0.54 ; 0.001 2% Forward simplification (250 calls)
% 0.19/0.54 ; 0.002 3% Backward simplification (162 calls)
% 0.19/0.54 ; 0.001 2% Ordering (80 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.001 2% Purity testing (1 call)
% 0.19/0.54 ; 0.023 38% Other
% 0.19/0.54 ; 0.061 Total
% 0.19/0.54 ; 0.064 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 263 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 43 entries (43 at peak, 49 added, 6 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 181 nodes (181 at peak, 215 added, 34 deleted).
% 0.19/0.54 ; Retrieved 5 possibly forward subsuming rows in 50 calls.
% 0.19/0.54 ; Retrieved 1 possibly backward subsumed row in 49 calls.
% 0.19/0.54 ; Path-index has 241 entries (241 at peak, 275 added, 34 deleted).
% 0.19/0.54 ; Path-index has 433 nodes (433 at peak, 475 added, 42 deleted).
% 0.19/0.54 ; Trie-index has 241 entries (241 at peak, 275 added, 34 deleted).
% 0.19/0.54 ; Trie-index has 565 nodes (565 at peak, 647 added, 82 deleted).
% 0.19/0.54 ; Retrieved 148 generalization terms in 395 calls.
% 0.19/0.54 ; Retrieved 124 instance terms in 112 calls.
% 0.19/0.54 ; Retrieved 4,298 unifiable terms in 1,297 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to give has 61 entries:
% 0.19/0.54 ; 12 with value (4 9) 5 with value (4 14) 1 with value (4 22)
% 0.19/0.54 ; 9 with value (4 10) 2 with value (4 15) 1 with value (4 23)
% 0.19/0.54 ; 10 with value (4 11) 2 with value (4 16) 1 with value (4 25)
% 0.19/0.54 ; 6 with value (4 12) 2 with value (4 19) 1 with value (4 29)
% 0.19/0.54 ; 7 with value (4 13) 1 with value (4 20) 1 with value (4 31)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.065 seconds of real time
% 0.19/0.54 0.056718 seconds of user run time
% 0.19/0.54 0.008053 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 4,388,928 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T14:14:39
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------