TSTP Solution File: SEU220+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:20:17 EDT 2022
% Result : Theorem 0.40s 0.57s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 38 ( 10 equ; 23 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ relation(X)
| ~ function(X)
| relation(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| function(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(44,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(51,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ relation(Y)
| ~ function(Y)
| Y != function_inverse(X)
| ~ in(Z,relation_rng(X))
| U != apply(Y,Z)
| Z = apply(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
cnf(59,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_rng(X) = relation_dom(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(61,negated_conjecture,
relation('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(62,negated_conjecture,
function('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(63,negated_conjecture,
one_to_one('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(64,negated_conjecture,
in('SKOLEMAAAV14',relation_rng('SKOLEMAAAV15')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(65,negated_conjecture,
( 'SKOLEMAAAV14' != apply('SKOLEMAAAV15',apply(function_inverse('SKOLEMAAAV15'),'SKOLEMAAAV14'))
| 'SKOLEMAAAV14' != apply(relation_composition(function_inverse('SKOLEMAAAV15'),'SKOLEMAAAV15'),'SKOLEMAAAV14') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(99,plain,
relation(function_inverse('SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[5,61,62]) ).
cnf(102,plain,
function(function_inverse('SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[6,61,62]) ).
cnf(171,plain,
relation_rng('SKOLEMAAAV15') = relation_dom(function_inverse('SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[59,61,62,63]) ).
cnf(172,plain,
in('SKOLEMAAAV14',relation_dom(function_inverse('SKOLEMAAAV15'))),
inference('REWRITE',[status(thm)],[64,171,theory(equality)]) ).
cnf(265,plain,
apply(relation_composition(function_inverse('SKOLEMAAAV15'),'SKOLEMAAAV15'),'SKOLEMAAAV14') = apply('SKOLEMAAAV15',apply(function_inverse('SKOLEMAAAV15'),'SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[44,102,99,61,62,172]) ).
cnf(266,plain,
'SKOLEMAAAV14' != apply('SKOLEMAAAV15',apply(function_inverse('SKOLEMAAAV15'),'SKOLEMAAAV14')),
inference('REWRITE',[status(thm)],[65,265,theory(equality)]) ).
cnf(271,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[51,266,61,62,63,99,102,theory(equality),theory(equality)]),172,171,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 03:08:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T03:08:23
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-19T03:08:23
% 0.19/0.48 WARNING:
% 0.19/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.57
% 0.40/0.57
% 0.40/0.57 #||
% 0.40/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57 % SZS output start Refutation
% See solution above
% 0.40/0.57 ||#
% 0.40/0.57
% 0.40/0.57 ; Summary of computation:
% 0.40/0.57 ; 608 formulas have been input or derived (from 87 formulas).
% 0.40/0.57 ; 271 (45%) were retained. Of these,
% 0.40/0.57 ; 25 ( 9%) were simplified or subsumed later,
% 0.40/0.57 ; 246 (91%) are still being kept.
% 0.40/0.57 ;
% 0.40/0.57 ; Run time in seconds excluding printing time:
% 0.40/0.57 ; 0.009 8% Read assertion file (1 call)
% 0.40/0.57 ; 0.003 3% Assert (41 calls)
% 0.40/0.57 ; 0.020 18% Process new row (576 calls)
% 0.40/0.57 ; 0.044 40% Resolution (172 calls)
% 0.40/0.57 ; 0.000 0% Paramodulation (86 calls)
% 0.40/0.57 ; 0.000 0% Factoring (1 call)
% 0.40/0.57 ; 0.003 3% Condensing (47 calls)
% 0.40/0.57 ; 0.001 1% Forward subsumption (47 calls)
% 0.40/0.57 ; 0.001 1% Backward subsumption (46 calls)
% 0.40/0.57 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.40/0.57 ; 0.002 2% Forward simplification (509 calls)
% 0.40/0.57 ; 0.003 3% Backward simplification (271 calls)
% 0.40/0.57 ; 0.000 0% Ordering (54 calls)
% 0.40/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.57 ; 0.000 0% Purity testing (1 call)
% 0.40/0.57 ; 0.023 21% Other
% 0.40/0.57 ; 0.109 Total
% 0.40/0.57 ; 0.112 Real time
% 0.40/0.57 ;
% 0.40/0.57 ; Term-hash-array has 427 terms in all.
% 0.40/0.57 ; Feature-vector-row-index has 45 entries (46 at peak, 46 added, 1 deleted).
% 0.40/0.57 ; Feature-vector-row-index has 165 nodes (181 at peak, 181 added, 16 deleted).
% 0.40/0.57 ; Retrieved 10 possibly forward subsuming rows in 47 calls.
% 0.40/0.57 ; Retrieved 4 possibly backward subsumed rows in 46 calls.
% 0.40/0.57 ; Path-index has 413 entries (413 at peak, 440 added, 27 deleted).
% 0.40/0.57 ; Path-index has 470 nodes (470 at peak, 500 added, 30 deleted).
% 0.40/0.57 ; Trie-index has 413 entries (413 at peak, 440 added, 27 deleted).
% 0.40/0.57 ; Trie-index has 719 nodes (719 at peak, 774 added, 55 deleted).
% 0.40/0.57 ; Retrieved 244 generalization terms in 595 calls.
% 0.40/0.57 ; Retrieved 231 instance terms in 224 calls.
% 0.40/0.57 ; Retrieved 49,161 unifiable terms in 8,602 calls.
% 0.40/0.57 ;
% 0.40/0.57 ; The agenda of rows to give has 170 entries:
% 0.40/0.57 ; 4 with value (4 6) 8 with value (4 9) 3 with value (4 12)
% 0.40/0.57 ; 63 with value (4 7) 58 with value (4 10) 4 with value (4 19)
% 0.40/0.57 ; 14 with value (4 8) 15 with value (4 11) 1 with value (4 21)
% 0.40/0.57 Evaluation took:
% 0.40/0.57 0.112 seconds of real time
% 0.40/0.57 0.097968 seconds of user run time
% 0.40/0.57 0.01487 seconds of system run time
% 0.40/0.57 0 calls to %EVAL
% 0.40/0.57 0 page faults and
% 0.40/0.57 6,674,360 bytes consed.
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T03:08:24
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 *
%------------------------------------------------------------------------------