%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO018+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 17:53:25 EDT 2022
% Result : Theorem 5.78s 6.02s
% Output : Refutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of clauses : 46 ( 27 unt; 7 nHn; 46 RR)
% Number of literals : 92 ( 7 equ; 47 neg)
% Maximal clause size : 7 ( 2 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; 0-3 aty)
% Number of variables : 48 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAU3'(Z,X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(10,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAU3'(Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(14,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
cnf(15,axiom,
( ~ occurrence_of(X,Y)
| ~ leaf_occ(Z,X)
| ~ min_precedes(Z,U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
cnf(30,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
cnf(41,axiom,
( ~ precedes(X,Y)
| earlier(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
cnf(42,axiom,
( ~ precedes(X,Y)
| legal(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
cnf(43,axiom,
( precedes(X,Y)
| ~ earlier(X,Y)
| ~ legal(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| precedes(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
cnf(50,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
cnf(51,axiom,
( ~ next_subocc(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ min_precedes(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
cnf(58,axiom,
( ~ min_precedes(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ precedes(Y,U)
| min_precedes(Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).
cnf(59,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAU13'(Y),tptp3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(60,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAU13'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(61,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAU14'(Y),tptp4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(62,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| min_precedes('SKOLEMAAAU13'(Y),'SKOLEMAAAU14'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(64,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| min_precedes('SKOLEMAAAU14'(Y),'SKOLEMAAAU15'(Y),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(65,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| ~ min_precedes('SKOLEMAAAU13'(Y),Z,tptp0)
| Z = 'SKOLEMAAAU14'(Y)
| Z = 'SKOLEMAAAU15'(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(70,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
cnf(71,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
cnf(77,negated_conjecture,
occurrence_of('SKOLEMAAAU17',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(78,negated_conjecture,
subactivity_occurrence('SKOLEMAAAU16','SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(79,negated_conjecture,
arboreal('SKOLEMAAAU16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(80,negated_conjecture,
~ leaf_occ('SKOLEMAAAU16','SKOLEMAAAU17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(100,plain,
occurrence_of('SKOLEMAAAU13'('SKOLEMAAAU16'),tptp3),
inference('UR-RESOLVE',[status(thm)],[59,77,78,79,80]) ).
cnf(101,plain,
occurrence_of('SKOLEMAAAU14'('SKOLEMAAAU16'),tptp4),
inference('UR-RESOLVE',[status(thm)],[61,77,78,79,80]) ).
cnf(103,plain,
min_precedes('SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU14'('SKOLEMAAAU16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[62,77,78,79,80]) ).
cnf(104,plain,
min_precedes('SKOLEMAAAU14'('SKOLEMAAAU16'),'SKOLEMAAAU15'('SKOLEMAAAU16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[64,77,78,79,80]) ).
cnf(117,plain,
arboreal('SKOLEMAAAU13'('SKOLEMAAAU16')),
inference('HYPERRESOLVE',[status(thm)],[30,100,70]) ).
cnf(154,plain,
occurrence_of('SKOLEMAAAU3'(tptp0,'SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU14'('SKOLEMAAAU16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[9,103]) ).
cnf(156,plain,
subactivity_occurrence('SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU3'(tptp0,'SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU14'('SKOLEMAAAU16'))),
inference('HYPERRESOLVE',[status(thm)],[10,103]) ).
cnf(165,plain,
precedes('SKOLEMAAAU14'('SKOLEMAAAU16'),'SKOLEMAAAU15'('SKOLEMAAAU16')),
inference('HYPERRESOLVE',[status(thm)],[47,104]) ).
cnf(202,plain,
earlier('SKOLEMAAAU14'('SKOLEMAAAU16'),'SKOLEMAAAU15'('SKOLEMAAAU16')),
inference('HYPERRESOLVE',[status(thm)],[41,165]) ).
cnf(276,plain,
~ leaf_occ('SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU3'(tptp0,'SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU14'('SKOLEMAAAU16'))),
inference('UR-RESOLVE',[status(thm)],[15,154,103]) ).
cnf(414,plain,
occurrence_of('SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')),tptp3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,156,154,117]),276]) ).
cnf(415,plain,
next_subocc('SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,156,154,117]),276]) ).
cnf(426,plain,
~ occurrence_of('SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')),tptp4),
inference('UR-RESOLVE',[status(thm)],[14,414,71]) ).
cnf(433,plain,
min_precedes('SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[50,415]) ).
cnf(434,plain,
~ min_precedes('SKOLEMAAAU14'('SKOLEMAAAU16'),'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')),tptp0),
inference('UR-RESOLVE',[status(thm)],[51,415,103]) ).
cnf(602,plain,
precedes('SKOLEMAAAU13'('SKOLEMAAAU16'),'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16'))),
inference('HYPERRESOLVE',[status(thm)],[47,433]) ).
cnf(616,plain,
( 'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')) = 'SKOLEMAAAU14'('SKOLEMAAAU16')
| 'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')) = 'SKOLEMAAAU15'('SKOLEMAAAU16') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,433,77,78,79]),80]) ).
cnf(617,plain,
~ precedes('SKOLEMAAAU14'('SKOLEMAAAU16'),'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16'))),
inference('UR-RESOLVE',[status(thm)],[58,434,103,433]) ).
cnf(639,plain,
legal('SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16'))),
inference('HYPERRESOLVE',[status(thm)],[42,602]) ).
cnf(642,plain,
~ earlier('SKOLEMAAAU14'('SKOLEMAAAU16'),'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16'))),
inference('UR-RESOLVE',[status(thm)],[43,617,639]) ).
cnf(4816,plain,
'SKOLEMAAAU13'('SKOLEMAAAU13'('SKOLEMAAAU16')) = 'SKOLEMAAAU14'('SKOLEMAAAU16'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[202,616,theory(equality)]),642]) ).
cnf(4817,plain,
$false,
inference('REWRITE',[status(thm)],[101,426,4816,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO018+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 00:50:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T00:50:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T00:50:55
% 0.19/0.49 WARNING:
% 0.19/0.49 |activity| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 5.78/6.02
% 5.78/6.02
% 5.78/6.02 #||
% 5.78/6.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.78/6.02 % SZS output start Refutation
% See solution above
% 5.88/6.04 ||#
% 5.88/6.04
% 5.88/6.04 ; Summary of computation:
% 5.88/6.04 ; 15647 formulas have been input or derived (from 2556 formulas).
% 5.88/6.04 ; 4817 (31%) were retained. Of these,
% 5.88/6.04 ; 2688 (56%) were simplified or subsumed later,
% 5.88/6.04 ; 2129 (44%) are still being kept.
% 5.88/6.04 ;
% 5.88/6.04 ; Run time in seconds excluding printing time:
% 5.88/6.04 ; 0.011 0% Read assertion file (1 call)
% 5.88/6.04 ; 0.004 0% Assert (46 calls)
% 5.88/6.04 ; 0.253 5% Process new row (11,120 calls)
% 5.88/6.04 ; 4.913 88% Resolution (5,110 calls)
% 5.88/6.04 ; 0.035 1% Paramodulation (2,555 calls)
% 5.88/6.04 ; 0.000 0% Factoring (76 calls)
% 5.88/6.04 ; 0.003 0% Condensing (937 calls)
% 5.88/6.04 ; 0.044 1% Forward subsumption (937 calls)
% 5.88/6.04 ; 0.013 0% Backward subsumption (602 calls)
% 5.88/6.04 ; 0.002 0% Clause clause subsumption (703 calls)
% 5.88/6.04 ; 0.102 2% Forward simplification (10,918 calls)
% 5.88/6.04 ; 0.111 2% Backward simplification (4,817 calls)
% 5.88/6.04 ; 0.008 0% Ordering (7,117 calls)
% 5.88/6.04 ; 0.000 0% Sortal reasoning (32 calls)
% 5.88/6.04 ; 0.001 0% Purity testing (1 call)
% 5.88/6.04 ; 0.059 1% Other
% 5.88/6.04 ; 5.559 Total
% 5.88/6.04 ; 5.580 Real time
% 5.88/6.04 ;
% 5.88/6.04 ; Term-hash-array has 5,391 terms in all.
% 5.88/6.04 ; Feature-vector-row-index has 395 entries (562 at peak, 602 added, 207 deleted).
% 5.88/6.04 ; Feature-vector-row-index has 3,173 nodes (4,380 at peak, 4,697 added, 1,524 deleted).
% 5.88/6.04 ; Retrieved 859 possibly forward subsuming rows in 937 calls.
% 5.88/6.04 ; Retrieved 69 possibly backward subsumed rows in 602 calls.
% 5.88/6.04 ; Path-index has 2,474 entries (4,976 at peak, 5,424 added, 2,950 deleted).
% 5.88/6.04 ; Path-index has 6,765 nodes (7,745 at peak, 8,049 added, 1,284 deleted).
% 5.88/6.04 ; Trie-index has 2,474 entries (4,976 at peak, 5,424 added, 2,950 deleted).
% 5.88/6.04 ; Trie-index has 11,188 nodes (20,782 at peak, 22,593 added, 11,405 deleted).
% 5.88/6.04 ; Retrieved 6,442 generalization terms in 17,471 calls.
% 5.88/6.04 ; Retrieved 4,259 instance terms in 4,214 calls.
% 5.88/6.04 ; Retrieved 5,528,045 unifiable terms in 1,409,144 calls.
% 5.88/6.04 ;
% 5.88/6.04 ; The agenda of backward simplifiable rows to process has 2288 entries:
% 5.88/6.04 ; 2288 with value 0
% 5.88/6.04 ; The agenda of rows to process has 296 entries:
% 5.88/6.04 ; 1 with value 24 31 with value 30 3 with value 35
% 5.88/6.04 ; 6 with value 25 42 with value 31 9 with value 36
% 5.88/6.04 ; 4 with value 26 60 with value 32 2 with value 37
% 5.88/6.04 ; 14 with value 27 69 with value 33 1 with value 40
% 5.88/6.04 ; 16 with value 28 21 with value 34 1 with value 41
% 5.88/6.04 ; 16 with value 29
% 5.88/6.04 ; The agenda of rows to give has 930 entries:
% 5.88/6.04 ; 1 with value (4 15) 15 with value (4 32) 8 with value (4 42)
% 5.88/6.04 ; 231 with value (4 23) 13 with value (4 33) 6 with value (4 43)
% 5.88/6.04 ; 177 with value (4 24) 8 with value (4 34) 3 with value (4 44)
% 5.88/6.04 ; 100 with value (4 25) 14 with value (4 35) 2 with value (4 45)
% 5.88/6.04 ; 105 with value (4 26) 6 with value (4 36) 5 with value (4 46)
% 5.88/6.04 ; 50 with value (4 27) 3 with value (4 37) 8 with value (4 47)
% 5.88/6.04 ; 37 with value (4 28) 3 with value (4 38) 2 with value (4 48)
% 5.88/6.04 ; 41 with value (4 29) 5 with value (4 39) 2 with value (4 51)
% 5.88/6.04 ; 35 with value (4 30) 6 with value (4 40) 2 with value (4 52)
% 5.88/6.04 ; 27 with value (4 31) 11 with value (4 41) 4 with value (4 53)
% 5.88/6.04 Evaluation took:
% 5.88/6.04 5.581 seconds of real time
% 5.88/6.04 5.415974 seconds of user run time
% 5.88/6.04 0.1634 seconds of system run time
% 5.88/6.04 [Run times include 0.465 seconds GC run time.]
% 5.88/6.04 0 calls to %EVAL
% 5.88/6.04 0 page faults and
% 5.88/6.04 657,995,160 bytes consed.
% 5.88/6.04 :PROOF-FOUND
% 5.88/6.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T00:51:00
% 5.88/6.04 :PROOF-FOUND
% 5.88/6.04 *
%------------------------------------------------------------------------------