%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU220+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 14:20:17 EDT 2022
% Result : Theorem 0.42s 0.60s
% Output : Refutation 0.42s
% 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/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| function(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(38,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/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(42,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/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
cnf(50,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_rng(X) = relation_dom(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(52,negated_conjecture,
relation('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(53,negated_conjecture,
function('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(54,negated_conjecture,
one_to_one('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(55,negated_conjecture,
in('SKOLEMAAAV12',relation_rng('SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(56,negated_conjecture,
( 'SKOLEMAAAV12' != apply('SKOLEMAAAV13',apply(function_inverse('SKOLEMAAAV13'),'SKOLEMAAAV12'))
| 'SKOLEMAAAV12' != apply(relation_composition(function_inverse('SKOLEMAAAV13'),'SKOLEMAAAV13'),'SKOLEMAAAV12') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(75,plain,
relation(function_inverse('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[5,52,53]) ).
cnf(78,plain,
function(function_inverse('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[6,52,53]) ).
cnf(142,plain,
relation_rng('SKOLEMAAAV13') = relation_dom(function_inverse('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[50,52,53,54]) ).
cnf(143,plain,
in('SKOLEMAAAV12',relation_dom(function_inverse('SKOLEMAAAV13'))),
inference('REWRITE',[status(thm)],[55,142,theory(equality)]) ).
cnf(229,plain,
apply(relation_composition(function_inverse('SKOLEMAAAV13'),'SKOLEMAAAV13'),'SKOLEMAAAV12') = apply('SKOLEMAAAV13',apply(function_inverse('SKOLEMAAAV13'),'SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[38,78,75,52,53,143]) ).
cnf(230,plain,
'SKOLEMAAAV12' != apply('SKOLEMAAAV13',apply(function_inverse('SKOLEMAAAV13'),'SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[56,229,theory(equality)]) ).
cnf(235,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[42,230,52,53,54,75,78,theory(equality),theory(equality)]),143,142,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU220+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 01:34:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T01:34:38
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-20T01:34:38
% 0.21/0.51 WARNING:
% 0.21/0.51 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.60
% 0.42/0.60
% 0.42/0.60 #||
% 0.42/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.60 % SZS output start Refutation
% See solution above
% 0.42/0.60 ||#
% 0.42/0.60
% 0.42/0.60 ; Summary of computation:
% 0.42/0.60 ; 555 formulas have been input or derived (from 73 formulas).
% 0.42/0.60 ; 235 (42%) were retained. Of these,
% 0.42/0.60 ; 20 ( 9%) were simplified or subsumed later,
% 0.42/0.60 ; 215 (91%) are still being kept.
% 0.42/0.60 ;
% 0.42/0.60 ; Run time in seconds excluding printing time:
% 0.42/0.60 ; 0.007 7% Read assertion file (1 call)
% 0.42/0.60 ; 0.003 3% Assert (39 calls)
% 0.42/0.60 ; 0.015 14% Process new row (530 calls)
% 0.42/0.60 ; 0.046 43% Resolution (144 calls)
% 0.42/0.60 ; 0.001 1% Paramodulation (72 calls)
% 0.42/0.60 ; 0.000 0% Condensing (39 calls)
% 0.42/0.60 ; 0.002 2% Forward subsumption (39 calls)
% 0.42/0.60 ; 0.001 1% Backward subsumption (38 calls)
% 0.42/0.60 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.42/0.60 ; 0.003 3% Forward simplification (465 calls)
% 0.42/0.60 ; 0.003 3% Backward simplification (235 calls)
% 0.42/0.60 ; 0.000 0% Ordering (47 calls)
% 0.42/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.60 ; 0.001 1% Purity testing (1 call)
% 0.42/0.60 ; 0.025 23% Other
% 0.42/0.60 ; 0.107 Total
% 0.42/0.60 ; 0.111 Real time
% 0.42/0.60 ;
% 0.42/0.60 ; Term-hash-array has 370 terms in all.
% 0.42/0.60 ; Feature-vector-row-index has 37 entries (38 at peak, 38 added, 1 deleted).
% 0.42/0.60 ; Feature-vector-row-index has 146 nodes (162 at peak, 162 added, 16 deleted).
% 0.42/0.60 ; Retrieved 9 possibly forward subsuming rows in 39 calls.
% 0.42/0.60 ; Retrieved 3 possibly backward subsumed rows in 38 calls.
% 0.42/0.60 ; Path-index has 361 entries (361 at peak, 383 added, 22 deleted).
% 0.42/0.60 ; Path-index has 375 nodes (375 at peak, 399 added, 24 deleted).
% 0.42/0.60 ; Trie-index has 361 entries (361 at peak, 383 added, 22 deleted).
% 0.42/0.60 ; Trie-index has 611 nodes (611 at peak, 652 added, 41 deleted).
% 0.42/0.60 ; Retrieved 225 generalization terms in 542 calls.
% 0.42/0.60 ; Retrieved 196 instance terms in 196 calls.
% 0.42/0.60 ; Retrieved 48,586 unifiable terms in 8,483 calls.
% 0.42/0.60 ;
% 0.42/0.60 ; The agenda of rows to give has 151 entries:
% 0.42/0.60 ; 4 with value (4 6) 4 with value (4 9) 1 with value (4 12)
% 0.42/0.60 ; 60 with value (4 7) 55 with value (4 10) 4 with value (4 19)
% 0.42/0.60 ; 11 with value (4 8) 11 with value (4 11) 1 with value (4 21)
% 0.42/0.60 Evaluation took:
% 0.42/0.60 0.112 seconds of real time
% 0.42/0.60 0.102023 seconds of user run time
% 0.42/0.60 0.008124 seconds of system run time
% 0.42/0.60 0 calls to %EVAL
% 0.42/0.60 0 page faults and
% 0.42/0.60 6,306,136 bytes consed.
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T01:34:38
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 *
%------------------------------------------------------------------------------