TSTP Solution File: PRO009+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 17:53:18 EDT 2022
% Result : Theorem 0.39s 0.62s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of clauses : 41 ( 21 unt; 3 nHn; 41 RR)
% Number of literals : 78 ( 2 equ; 39 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ occurrence_of(X,Y)
| ~ arboreal(Z)
| ~ arboreal(U)
| ~ subactivity_occurrence(Z,X)
| ~ subactivity_occurrence(U,X)
| min_precedes(Z,U,Y)
| min_precedes(U,Z,Y)
| U = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(16,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ min_precedes(U,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
cnf(20,axiom,
( ~ legal(X)
| arboreal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
cnf(30,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
cnf(31,axiom,
( ~ root(X,Y)
| legal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).
cnf(33,axiom,
( ~ leaf_occ(X,Y)
| subactivity_occurrence(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
cnf(37,axiom,
( ~ root_occ(X,Y)
| subactivity_occurrence(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
cnf(44,axiom,
( ~ min_precedes(X,Y,Z)
| ~ root(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
cnf(45,axiom,
( ~ min_precedes(X,Y,Z)
| root('SKOLEMAAAV11'(Z,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
cnf(46,axiom,
( ~ min_precedes(X,Y,Z)
| min_precedes('SKOLEMAAAV11'(Z,Y),Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
cnf(50,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
cnf(54,axiom,
( ~ min_precedes(X,Y,Z)
| ~ occurrence_of(U,Z)
| ~ subactivity_occurrence(Y,U)
| subactivity_occurrence(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
cnf(59,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV13'(X),tptp3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(60,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV13'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(63,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV15'(X),tptp2)
| occurrence_of('SKOLEMAAAV15'(X),tptp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(64,axiom,
( ~ occurrence_of(X,tptp0)
| next_subocc('SKOLEMAAAV14'(X),'SKOLEMAAAV15'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(65,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAV15'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(70,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
cnf(77,negated_conjecture,
occurrence_of('SKOLEMAAAV16',tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(78,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV16')
| ~ occurrence_of(Y,tptp2)
| ~ min_precedes(X,Y,tptp0)
| ~ leaf_occ(Y,'SKOLEMAAAV16') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(79,negated_conjecture,
( ~ occurrence_of(X,tptp3)
| ~ root_occ(X,'SKOLEMAAAV16')
| ~ occurrence_of(Y,tptp1)
| ~ min_precedes(X,Y,tptp0)
| ~ leaf_occ(Y,'SKOLEMAAAV16') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(82,plain,
occurrence_of('SKOLEMAAAV13'('SKOLEMAAAV16'),tptp3),
inference('HYPERRESOLVE',[status(thm)],[59,77]) ).
cnf(83,plain,
root_occ('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[60,77]) ).
cnf(85,plain,
leaf_occ('SKOLEMAAAV15'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[65,77]) ).
cnf(87,plain,
next_subocc('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[64,77]) ).
cnf(90,plain,
( occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp2)
| occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[63,77]) ).
cnf(101,plain,
arboreal('SKOLEMAAAV13'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[30,82,70]) ).
cnf(106,plain,
subactivity_occurrence('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[37,83]) ).
cnf(107,plain,
~ min_precedes(X,'SKOLEMAAAV13'('SKOLEMAAAV16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[16,83,77]) ).
cnf(115,plain,
subactivity_occurrence('SKOLEMAAAV15'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[33,85]) ).
cnf(141,plain,
min_precedes('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[50,87]) ).
cnf(176,plain,
root('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[45,141]) ).
cnf(177,plain,
min_precedes('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,141]) ).
cnf(213,plain,
legal('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[31,176]) ).
cnf(214,plain,
~ min_precedes(X,'SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),tptp0),
inference('UR-RESOLVE',[status(thm)],[44,176]) ).
cnf(224,plain,
arboreal('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[20,213]) ).
cnf(323,plain,
subactivity_occurrence('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[54,177,77,115]) ).
cnf(338,plain,
'SKOLEMAAAV13'('SKOLEMAAAV16') = 'SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,323,77,224,101,106]),214,107]) ).
cnf(339,plain,
min_precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('REWRITE',[status(thm)],[177,338,theory(equality)]) ).
cnf(345,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp1),
inference('HYPERRESOLVE',[status(thm)],[78,339,82,83,90,85]) ).
cnf(346,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[79,339,82,83,85]),345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : Mon Jun 13 03:42:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:42:51
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-13T03:42:51
% 0.20/0.50 WARNING:
% 0.20/0.50 |activity| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.62
% 0.39/0.62
% 0.39/0.62 #||
% 0.39/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.62 % SZS output start Refutation
% See solution above
% 0.39/0.62 ||#
% 0.39/0.62
% 0.39/0.62 ; Summary of computation:
% 0.39/0.62 ; 924 formulas have been input or derived (from 204 formulas).
% 0.39/0.62 ; 346 (37%) were retained. Of these,
% 0.39/0.62 ; 78 (23%) were simplified or subsumed later,
% 0.39/0.62 ; 268 (77%) are still being kept.
% 0.39/0.62 ;
% 0.39/0.62 ; Run time in seconds excluding printing time:
% 0.39/0.62 ; 0.011 8% Read assertion file (1 call)
% 0.39/0.62 ; 0.003 2% Assert (46 calls)
% 0.39/0.62 ; 0.021 15% Process new row (702 calls)
% 0.39/0.62 ; 0.050 36% Resolution (406 calls)
% 0.39/0.62 ; 0.001 1% Paramodulation (203 calls)
% 0.39/0.62 ; 0.000 0% Factoring (1 call)
% 0.39/0.62 ; 0.004 3% Condensing (93 calls)
% 0.39/0.62 ; 0.002 1% Forward subsumption (93 calls)
% 0.39/0.62 ; 0.001 1% Backward subsumption (89 calls)
% 0.39/0.62 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.39/0.62 ; 0.008 6% Forward simplification (635 calls)
% 0.39/0.62 ; 0.006 4% Backward simplification (346 calls)
% 0.39/0.62 ; 0.000 0% Ordering (56 calls)
% 0.39/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.62 ; 0.001 1% Purity testing (1 call)
% 0.39/0.62 ; 0.029 21% Other
% 0.39/0.62 ; 0.137 Total
% 0.39/0.62 ; 0.143 Real time
% 0.39/0.62 ;
% 0.39/0.62 ; Term-hash-array has 441 terms in all.
% 0.39/0.62 ; Feature-vector-row-index has 75 entries (81 at peak, 89 added, 14 deleted).
% 0.39/0.62 ; Feature-vector-row-index has 256 nodes (307 at peak, 383 added, 127 deleted).
% 0.39/0.62 ; Retrieved 24 possibly forward subsuming rows in 93 calls.
% 0.39/0.62 ; Retrieved 14 possibly backward subsumed rows in 89 calls.
% 0.39/0.62 ; Path-index has 357 entries (382 at peak, 455 added, 98 deleted).
% 0.39/0.62 ; Path-index has 1,262 nodes (1,313 at peak, 1,430 added, 168 deleted).
% 0.39/0.62 ; Trie-index has 357 entries (382 at peak, 455 added, 98 deleted).
% 0.39/0.62 ; Trie-index has 1,186 nodes (1,339 at peak, 1,650 added, 464 deleted).
% 0.39/0.62 ; Retrieved 290 generalization terms in 662 calls.
% 0.39/0.62 ; Retrieved 258 instance terms in 256 calls.
% 0.39/0.62 ; Retrieved 24,924 unifiable terms in 6,454 calls.
% 0.39/0.62 ;
% 0.39/0.62 ; The agenda of rows to process has 33 entries:
% 0.39/0.62 ; 1 with value 10 1 with value 14 1 with value 19
% 0.39/0.62 ; 6 with value 11 6 with value 15 1 with value 21
% 0.39/0.62 ; 6 with value 12 6 with value 16 2 with value 25
% 0.39/0.62 ; 1 with value 13 2 with value 17
% 0.39/0.62 ; The agenda of rows to give has 87 entries:
% 0.39/0.62 ; 1 with value (4 10) 4 with value (4 20) 1 with value (4 28)
% 0.39/0.62 ; 12 with value (4 14) 3 with value (4 21) 1 with value (4 29)
% 0.39/0.62 ; 21 with value (4 15) 2 with value (4 22) 2 with value (4 30)
% 0.39/0.62 ; 13 with value (4 16) 1 with value (4 23) 1 with value (4 31)
% 0.39/0.62 ; 10 with value (4 17) 2 with value (4 24) 1 with value (4 32)
% 0.39/0.62 ; 5 with value (4 18) 1 with value (4 27) 1 with value (4 33)
% 0.39/0.62 ; 5 with value (4 19)
% 0.39/0.62 Evaluation took:
% 0.39/0.62 0.144 seconds of real time
% 0.39/0.62 0.126008 seconds of user run time
% 0.39/0.62 0.016133 seconds of system run time
% 0.39/0.62 0 calls to %EVAL
% 0.39/0.62 0 page faults and
% 0.39/0.62 9,249,784 bytes consed.
% 0.39/0.62 :PROOF-FOUND
% 0.39/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:42:51
% 0.39/0.62 :PROOF-FOUND
% 0.39/0.62 *
%------------------------------------------------------------------------------