%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU023+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:18:46 EDT 2022
% Result : Theorem 0.43s 0.58s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 32 ( 8 equ; 20 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 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(53,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ relation(Y)
| ~ function(Y)
| Y != function_inverse(X)
| ~ in(Z,relation_dom(X))
| U != apply(X,Z)
| Z = apply(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
cnf(59,negated_conjecture,
relation('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1) ).
cnf(60,negated_conjecture,
function('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1) ).
cnf(61,negated_conjecture,
one_to_one('SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1) ).
cnf(62,negated_conjecture,
in('SKOLEMAAAV14',relation_dom('SKOLEMAAAV15')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1) ).
cnf(63,negated_conjecture,
( 'SKOLEMAAAV14' != apply(function_inverse('SKOLEMAAAV15'),apply('SKOLEMAAAV15','SKOLEMAAAV14'))
| 'SKOLEMAAAV14' != apply(relation_composition('SKOLEMAAAV15',function_inverse('SKOLEMAAAV15')),'SKOLEMAAAV14') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1) ).
cnf(97,plain,
relation(function_inverse('SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[5,59,60]) ).
cnf(100,plain,
function(function_inverse('SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[6,59,60]) ).
cnf(267,plain,
'SKOLEMAAAV14' = apply(function_inverse('SKOLEMAAAV15'),apply('SKOLEMAAAV15','SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[53,100,59,60,61,97,62,theory(equality),theory(equality)]) ).
cnf(268,plain,
'SKOLEMAAAV14' != apply(relation_composition('SKOLEMAAAV15',function_inverse('SKOLEMAAAV15')),'SKOLEMAAAV14'),
inference('REWRITE',[status(thm)],[63,267,theory(equality)]) ).
cnf(269,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[44,100,59,60,97,62]),268,267,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU023+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 : Sat Jun 18 23:22:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T23:22:04
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T23:22:04
% 0.20/0.49 WARNING:
% 0.20/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.58
% 0.43/0.58
% 0.43/0.58 #||
% 0.43/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.58 % SZS output start Refutation
% See solution above
% 0.43/0.58 ||#
% 0.43/0.58
% 0.43/0.58 ; Summary of computation:
% 0.43/0.59 ; 671 formulas have been input or derived (from 86 formulas).
% 0.43/0.59 ; 269 (40%) were retained. Of these,
% 0.43/0.59 ; 22 ( 8%) were simplified or subsumed later,
% 0.43/0.59 ; 247 (92%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds excluding printing time:
% 0.43/0.59 ; 0.008 7% Read assertion file (1 call)
% 0.43/0.59 ; 0.003 3% Assert (40 calls)
% 0.43/0.59 ; 0.016 15% Process new row (634 calls)
% 0.43/0.59 ; 0.046 42% Resolution (170 calls)
% 0.43/0.59 ; 0.000 0% Paramodulation (85 calls)
% 0.43/0.59 ; 0.000 0% Factoring (1 call)
% 0.43/0.59 ; 0.002 2% Condensing (45 calls)
% 0.43/0.59 ; 0.001 1% Forward subsumption (45 calls)
% 0.43/0.59 ; 0.002 2% Backward subsumption (44 calls)
% 0.43/0.59 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.43/0.59 ; 0.003 3% Forward simplification (505 calls)
% 0.43/0.59 ; 0.001 1% Backward simplification (269 calls)
% 0.43/0.59 ; 0.001 1% Ordering (47 calls)
% 0.43/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.001 1% Purity testing (1 call)
% 0.43/0.59 ; 0.025 23% Other
% 0.43/0.59 ; 0.109 Total
% 0.43/0.59 ; 0.113 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 421 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 43 entries (44 at peak, 44 added, 1 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 158 nodes (174 at peak, 174 added, 16 deleted).
% 0.43/0.59 ; Retrieved 9 possibly forward subsuming rows in 45 calls.
% 0.43/0.59 ; Retrieved 3 possibly backward subsumed rows in 44 calls.
% 0.43/0.59 ; Path-index has 411 entries (411 at peak, 434 added, 23 deleted).
% 0.43/0.59 ; Path-index has 467 nodes (467 at peak, 492 added, 25 deleted).
% 0.43/0.59 ; Trie-index has 411 entries (411 at peak, 434 added, 23 deleted).
% 0.43/0.59 ; Trie-index has 696 nodes (696 at peak, 737 added, 41 deleted).
% 0.43/0.59 ; Retrieved 243 generalization terms in 579 calls.
% 0.43/0.59 ; Retrieved 231 instance terms in 224 calls.
% 0.43/0.59 ; Retrieved 48,272 unifiable terms in 8,393 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of input rows to give has 1 entry:
% 0.43/0.59 ; 1 with value 12
% 0.43/0.59 ; The agenda of rows to give has 171 entries:
% 0.43/0.59 ; 4 with value (4 6) 55 with value (4 10) 1 with value (4 13)
% 0.43/0.59 ; 65 with value (4 7) 16 with value (4 11) 3 with value (4 15)
% 0.43/0.59 ; 14 with value (4 8) 4 with value (4 12) 1 with value (4 16)
% 0.43/0.59 ; 8 with value (4 9)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.113 seconds of real time
% 0.43/0.59 0.101698 seconds of user run time
% 0.43/0.59 0.011062 seconds of system run time
% 0.43/0.59 0 calls to %EVAL
% 0.43/0.59 0 page faults and
% 0.43/0.59 6,326,672 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T23:22:04
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------