%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO016+3 : 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 17:53:23 EDT 2022
% Result : Theorem 1.00s 1.18s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of clauses : 47 ( 32 unt; 6 nHn; 47 RR)
% Number of literals : 85 ( 5 equ; 41 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ earlier(X,Y)
| ~ earlier(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(11,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
cnf(14,axiom,
( ~ precedes(X,Y)
| earlier(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
cnf(26,axiom,
( ~ min_precedes(X,Y,Z)
| precedes(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
cnf(36,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
cnf(54,axiom,
( ~ min_precedes(X,Y,Z)
| ~ occurrence_of(U,Z)
| ~ subactivity_occurrence(Y,U)
| subactivity_occurrence(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
cnf(64,axiom,
( ~ leaf_occ(X,Y)
| subactivity_occurrence(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
cnf(68,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| ~ leaf_occ(Z,X)
| ~ leaf_occ(U,X)
| Z = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
cnf(69,axiom,
( ~ occurrence_of(X,Y)
| ~ leaf_occ(Z,X)
| ~ min_precedes(Z,U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
cnf(72,axiom,
( ~ next_subocc(X,Y,Z)
| ~ next_subocc(U,Y,Z)
| X = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).
cnf(84,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAV17'(Y,X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(85,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAV18'(Y,X),tptp4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(86,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc('SKOLEMAAAV17'(Y,X),'SKOLEMAAAV18'(Y,X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(88,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc('SKOLEMAAAV18'(Y,X),'SKOLEMAAAV19'(Y,X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(89,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| leaf_occ('SKOLEMAAAV19'(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
cnf(91,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
cnf(92,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
cnf(102,negated_conjecture,
occurrence_of('SKOLEMAAAV21',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(103,negated_conjecture,
subactivity_occurrence('SKOLEMAAAV20','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(104,negated_conjecture,
arboreal('SKOLEMAAAV20'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(105,negated_conjecture,
~ leaf_occ('SKOLEMAAAV20','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(131,plain,
occurrence_of('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp4),
inference('UR-RESOLVE',[status(thm)],[85,102,103,104,105]) ).
cnf(132,plain,
leaf_occ('SKOLEMAAAV19'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[89,102,103,104,105]) ).
cnf(134,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp0),
inference('UR-RESOLVE',[status(thm)],[86,102,103,104,105]) ).
cnf(135,plain,
next_subocc('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV19'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp0),
inference('UR-RESOLVE',[status(thm)],[88,102,103,104,105]) ).
cnf(183,plain,
arboreal('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21')),
inference('HYPERRESOLVE',[status(thm)],[11,131,92]) ).
cnf(191,plain,
subactivity_occurrence('SKOLEMAAAV19'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[64,132]) ).
cnf(260,plain,
min_precedes('SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[36,134]) ).
cnf(262,plain,
min_precedes('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV19'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[36,135]) ).
cnf(308,plain,
precedes('SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21')),
inference('HYPERRESOLVE',[status(thm)],[26,260]) ).
cnf(322,plain,
subactivity_occurrence('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[54,262,102,191]) ).
cnf(327,plain,
~ leaf_occ('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[69,262,102]) ).
cnf(344,plain,
leaf_occ('SKOLEMAAAV19'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),'SKOLEMAAAV21'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[89,322,102,183]),327]) ).
cnf(348,plain,
next_subocc('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV17'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[84,322,102,183]),327]) ).
cnf(349,plain,
next_subocc('SKOLEMAAAV18'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),'SKOLEMAAAV19'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[88,322,102,183]),327]) ).
cnf(350,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),'SKOLEMAAAV18'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[86,322,102,183]),327]) ).
cnf(381,plain,
earlier('SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21')),
inference('HYPERRESOLVE',[status(thm)],[14,308]) ).
cnf(458,plain,
~ earlier('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21')),
inference('UR-RESOLVE',[status(thm)],[7,381]) ).
cnf(554,plain,
'SKOLEMAAAV19'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21') = 'SKOLEMAAAV19'('SKOLEMAAAV20','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[68,344,102,91,132]) ).
cnf(555,plain,
next_subocc('SKOLEMAAAV18'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),'SKOLEMAAAV19'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp0),
inference('REWRITE',[status(thm)],[349,554,theory(equality)]) ).
cnf(583,plain,
~ precedes('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21')),
inference('UR-RESOLVE',[status(thm)],[14,458]) ).
cnf(714,plain,
~ min_precedes('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),X),
inference('UR-RESOLVE',[status(thm)],[26,583]) ).
cnf(1268,plain,
'SKOLEMAAAV18'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21') = 'SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[72,555,135]) ).
cnf(1269,plain,
next_subocc('SKOLEMAAAV17'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21'),'SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),tptp0),
inference('REWRITE',[status(thm)],[350,1268,theory(equality)]) ).
cnf(1275,plain,
~ next_subocc('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),X),
inference('UR-RESOLVE',[status(thm)],[36,714]) ).
cnf(1566,plain,
'SKOLEMAAAV17'('SKOLEMAAAV18'('SKOLEMAAAV20','SKOLEMAAAV21'),'SKOLEMAAAV21') = 'SKOLEMAAAV17'('SKOLEMAAAV20','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[72,1269,134]) ).
cnf(1567,plain,
$false,
inference('REWRITE',[status(thm)],[348,1275,1566,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO016+3 : 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 01:51:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T01:51:36
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-13T01:51:36
% 1.00/1.18
% 1.00/1.18
% 1.00/1.18 #||
% 1.00/1.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.18 % SZS output start Refutation
% See solution above
% 1.00/1.18 ||#
% 1.00/1.18
% 1.00/1.18 ; Summary of computation:
% 1.00/1.18 ; 4717 formulas have been input or derived (from 670 formulas).
% 1.00/1.18 ; 1567 (33%) were retained. Of these,
% 1.00/1.18 ; 343 (22%) were simplified or subsumed later,
% 1.00/1.18 ; 1224 (78%) are still being kept.
% 1.00/1.18 ;
% 1.00/1.18 ; Run time in seconds excluding printing time:
% 1.00/1.18 ; 0.016 2% Read assertion file (1 call)
% 1.00/1.18 ; 0.005 1% Assert (63 calls)
% 1.00/1.18 ; 0.086 12% Process new row (3,838 calls)
% 1.00/1.18 ; 0.462 65% Resolution (1,338 calls)
% 1.00/1.18 ; 0.007 1% Paramodulation (669 calls)
% 1.00/1.18 ; 0.000 0% Factoring (8 calls)
% 1.00/1.18 ; 0.004 1% Condensing (384 calls)
% 1.00/1.18 ; 0.029 4% Forward subsumption (384 calls)
% 1.00/1.18 ; 0.007 1% Backward subsumption (333 calls)
% 1.00/1.18 ; 0.002 0% Clause clause subsumption (140 calls)
% 1.00/1.18 ; 0.030 4% Forward simplification (3,577 calls)
% 1.00/1.18 ; 0.022 3% Backward simplification (1,567 calls)
% 1.00/1.18 ; 0.000 0% Ordering (441 calls)
% 1.00/1.18 ; 0.000 0% Sortal reasoning (32 calls)
% 1.00/1.18 ; 0.000 0% Purity testing (1 call)
% 1.00/1.18 ; 0.040 6% Other
% 1.00/1.18 ; 0.710 Total
% 1.00/1.18 ; 0.714 Real time
% 1.00/1.18 ;
% 1.00/1.18 ; Term-hash-array has 2,052 terms in all.
% 1.00/1.18 ; Feature-vector-row-index has 268 entries (275 at peak, 333 added, 65 deleted).
% 1.00/1.18 ; Feature-vector-row-index has 2,253 nodes (2,307 at peak, 2,796 added, 543 deleted).
% 1.00/1.19 ; Retrieved 177 possibly forward subsuming rows in 384 calls.
% 1.00/1.19 ; Retrieved 26 possibly backward subsumed rows in 333 calls.
% 1.00/1.19 ; Path-index has 1,660 entries (1,711 at peak, 2,103 added, 443 deleted).
% 1.00/1.19 ; Path-index has 6,811 nodes (6,849 at peak, 7,473 added, 662 deleted).
% 1.00/1.19 ; Trie-index has 1,660 entries (1,711 at peak, 2,103 added, 443 deleted).
% 1.00/1.19 ; Trie-index has 8,477 nodes (8,724 at peak, 10,716 added, 2,239 deleted).
% 1.00/1.19 ; Retrieved 2,034 generalization terms in 5,558 calls.
% 1.00/1.19 ; Retrieved 1,251 instance terms in 1,233 calls.
% 1.00/1.19 ; Retrieved 404,569 unifiable terms in 81,875 calls.
% 1.00/1.19 ;
% 1.00/1.19 ; The agenda of backward simplifiable rows to process has 31 entries:
% 1.00/1.19 ; 31 with value 0
% 1.00/1.19 ; The agenda of rows to process has 5 entries:
% 1.00/1.19 ; 4 with value 18 1 with value 19
% 1.00/1.19 ; The agenda of rows to give has 649 entries:
% 1.00/1.19 ; 22 with value (4 17) 4 with value (4 29) 12 with value (4 41)
% 1.00/1.19 ; 91 with value (4 18) 13 with value (4 30) 4 with value (4 42)
% 1.00/1.19 ; 84 with value (4 19) 6 with value (4 31) 1 with value (4 43)
% 1.00/1.19 ; 65 with value (4 20) 7 with value (4 32) 1 with value (4 44)
% 1.00/1.19 ; 64 with value (4 21) 3 with value (4 33) 4 with value (4 45)
% 1.00/1.19 ; 55 with value (4 22) 7 with value (4 34) 6 with value (4 46)
% 1.00/1.19 ; 37 with value (4 23) 3 with value (4 35) 6 with value (4 48)
% 1.00/1.19 ; 41 with value (4 24) 8 with value (4 36) 9 with value (4 49)
% 1.00/1.19 ; 10 with value (4 25) 6 with value (4 37) 2 with value (4 50)
% 1.00/1.19 ; 13 with value (4 26) 6 with value (4 38) 3 with value (4 51)
% 1.00/1.19 ; 17 with value (4 27) 4 with value (4 39) 4 with value (4 54)
% 1.00/1.19 ; 6 with value (4 28) 4 with value (4 40) 21 with value (4 55)
% 1.00/1.19 Evaluation took:
% 1.00/1.19 0.715 seconds of real time
% 1.00/1.19 0.677337 seconds of user run time
% 1.00/1.19 0.0372 seconds of system run time
% 1.00/1.19 [Run times include 0.034 seconds GC run time.]
% 1.00/1.19 0 calls to %EVAL
% 1.00/1.19 0 page faults and
% 1.00/1.19 60,949,168 bytes consed.
% 1.00/1.19 :PROOF-FOUND
% 1.00/1.19 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T01:51:37
% 1.00/1.19 :PROOF-FOUND
% 1.00/1.19 *
%------------------------------------------------------------------------------