TSTP Solution File: SEU009+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:18:43 EDT 2022
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 9 unt; 2 nHn; 14 RR)
% Number of literals : 41 ( 3 equ; 25 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
relation(identity_relation(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
cnf(13,axiom,
function(identity_relation(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
cnf(34,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ in(Z,relation_dom(relation_composition(Y,X)))
| in(Z,relation_dom(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
cnf(35,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ in(Z,relation_dom(relation_composition(Y,X)))
| in(apply(Y,Z),relation_dom(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
cnf(36,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| in(Z,relation_dom(relation_composition(Y,X)))
| ~ in(Z,relation_dom(Y))
| ~ in(apply(Y,Z),relation_dom(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
cnf(38,axiom,
( ~ relation(X)
| ~ function(X)
| X != identity_relation(Y)
| relation_dom(X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
cnf(44,negated_conjecture,
relation('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funct_1) ).
cnf(45,negated_conjecture,
function('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funct_1) ).
cnf(46,negated_conjecture,
( ~ in('SKOLEMAAAV12',relation_dom(relation_composition('SKOLEMAAAV13',identity_relation('SKOLEMAAAV11'))))
| ~ in('SKOLEMAAAV12',relation_dom('SKOLEMAAAV13'))
| ~ in(apply('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV11') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funct_1) ).
cnf(47,negated_conjecture,
( in('SKOLEMAAAV12',relation_dom(relation_composition('SKOLEMAAAV13',identity_relation('SKOLEMAAAV11'))))
| in('SKOLEMAAAV12',relation_dom('SKOLEMAAAV13')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funct_1) ).
cnf(48,negated_conjecture,
( in('SKOLEMAAAV12',relation_dom(relation_composition('SKOLEMAAAV13',identity_relation('SKOLEMAAAV11'))))
| in(apply('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV11') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funct_1) ).
cnf(142,plain,
relation_dom(identity_relation(X)) = X,
inference('HYPERRESOLVE',[status(thm)],[38,5,13,theory(equality)]) ).
cnf(148,plain,
in('SKOLEMAAAV12',relation_dom('SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[34,5,13,44,45,47]) ).
cnf(149,plain,
( ~ in('SKOLEMAAAV12',relation_dom(relation_composition('SKOLEMAAAV13',identity_relation('SKOLEMAAAV11'))))
| ~ in(apply('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV11') ),
inference('REWRITE',[status(thm)],[46,148]) ).
cnf(150,plain,
in(apply('SKOLEMAAAV13','SKOLEMAAAV12'),'SKOLEMAAAV11'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[35,5,13,44,45,48]),142,theory(equality)]) ).
cnf(151,plain,
~ in('SKOLEMAAAV12',relation_dom(relation_composition('SKOLEMAAAV13',identity_relation('SKOLEMAAAV11')))),
inference('REWRITE',[status(thm)],[149,150]) ).
cnf(1225,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[36,148,5,13,44,45,151]),150,142,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 05:50:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T05:50:49
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-19T05:50:49
% 0.20/0.50 WARNING:
% 0.20/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 #||
% 0.60/0.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.81 % SZS output start Refutation
% See solution above
% 0.60/0.81 ||#
% 0.60/0.81
% 0.60/0.81 ; Summary of computation:
% 0.60/0.81 ; 5333 formulas have been input or derived (from 110 formulas).
% 0.60/0.81 ; 1225 (23%) were retained. Of these,
% 0.60/0.81 ; 544 (44%) were simplified or subsumed later,
% 0.60/0.81 ; 681 (56%) are still being kept.
% 0.60/0.81 ;
% 0.60/0.81 ; Run time in seconds excluding printing time:
% 0.60/0.82 ; 0.007 2% Read assertion file (1 call)
% 0.60/0.82 ; 0.002 1% Assert (36 calls)
% 0.60/0.82 ; 0.062 19% Process new row (5,198 calls)
% 0.60/0.82 ; 0.163 50% Resolution (218 calls)
% 0.60/0.82 ; 0.001 0% Paramodulation (109 calls)
% 0.60/0.82 ; 0.000 0% Factoring (3 calls)
% 0.60/0.82 ; 0.001 0% Condensing (49 calls)
% 0.60/0.82 ; 0.001 0% Forward subsumption (49 calls)
% 0.60/0.82 ; 0.001 0% Backward subsumption (48 calls)
% 0.60/0.82 ; 0.001 0% Clause clause subsumption (16 calls)
% 0.60/0.82 ; 0.025 8% Forward simplification (3,085 calls)
% 0.60/0.82 ; 0.024 7% Backward simplification (1,225 calls)
% 0.60/0.82 ; 0.001 0% Ordering (62 calls)
% 0.60/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.82 ; 0.001 0% Purity testing (1 call)
% 0.60/0.82 ; 0.039 12% Other
% 0.60/0.82 ; 0.329 Total
% 0.60/0.82 ; 0.331 Real time
% 0.60/0.82 ;
% 0.60/0.82 ; Term-hash-array has 2,263 terms in all.
% 0.60/0.82 ; Feature-vector-row-index has 39 entries (42 at peak, 48 added, 9 deleted).
% 0.60/0.82 ; Feature-vector-row-index has 145 nodes (213 at peak, 273 added, 128 deleted).
% 0.60/0.82 ; Retrieved 14 possibly forward subsuming rows in 49 calls.
% 0.60/0.82 ; Retrieved 4 possibly backward subsumed rows in 48 calls.
% 0.60/0.82 ; Path-index has 1,253 entries (2,168 at peak, 2,277 added, 1,024 deleted).
% 0.60/0.82 ; Path-index has 539 nodes (539 at peak, 600 added, 61 deleted).
% 0.60/0.82 ; Trie-index has 1,253 entries (2,168 at peak, 2,277 added, 1,024 deleted).
% 0.60/0.82 ; Trie-index has 1,918 nodes (2,914 at peak, 3,189 added, 1,271 deleted).
% 0.60/0.82 ; Retrieved 1,929 generalization terms in 3,439 calls.
% 0.60/0.82 ; Retrieved 1,186 instance terms in 1,176 calls.
% 0.60/0.82 ; Retrieved 324,457 unifiable terms in 20,765 calls.
% 0.60/0.82 ;
% 0.60/0.82 ; The agenda of rows to process has 1 entry:
% 0.60/0.82 ; 1 with value 13
% 0.60/0.82 ; The agenda of rows to give has 599 entries:
% 0.60/0.82 ; 1 with value (4 7) 7 with value (4 10) 275 with value (4 13)
% 0.60/0.82 ; 13 with value (4 8) 221 with value (4 11) 2 with value (4 19)
% 0.60/0.82 ; 33 with value (4 9) 43 with value (4 12) 4 with value (4 32)
% 0.60/0.82 Evaluation took:
% 0.60/0.82 0.331 seconds of real time
% 0.60/0.82 0.293802 seconds of user run time
% 0.60/0.82 0.036956 seconds of system run time
% 0.60/0.82 [Run times include 0.011 seconds GC run time.]
% 0.60/0.82 0 calls to %EVAL
% 0.60/0.82 0 page faults and
% 0.60/0.82 22,683,120 bytes consed.
% 0.60/0.82 :PROOF-FOUND
% 0.60/0.82 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T05:50:49
% 0.60/0.82 :PROOF-FOUND
% 0.60/0.82 *
%------------------------------------------------------------------------------