TSTP Solution File: PRO017+4 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO017+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 17:53:24 EDT 2022
% Result : Theorem 6.04s 6.22s
% Output : Refutation 6.04s
% 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('SKOLEMAAAV3'(Z,X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(10,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAV3'(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('SKOLEMAAAV13'(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,'SKOLEMAAAV13'(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('SKOLEMAAAV14'(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('SKOLEMAAAV13'(Y),'SKOLEMAAAV14'(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('SKOLEMAAAV14'(Y),'SKOLEMAAAV15'(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('SKOLEMAAAV13'(Y),Z,tptp0)
| Z = 'SKOLEMAAAV14'(Y)
| Z = 'SKOLEMAAAV15'(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('SKOLEMAAAV17',tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(78,negated_conjecture,
subactivity_occurrence('SKOLEMAAAV16','SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(79,negated_conjecture,
arboreal('SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(80,negated_conjecture,
~ leaf_occ('SKOLEMAAAV16','SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(90,plain,
occurrence_of('SKOLEMAAAV13'('SKOLEMAAAV16'),tptp3),
inference('UR-RESOLVE',[status(thm)],[59,77,78,79,80]) ).
cnf(91,plain,
occurrence_of('SKOLEMAAAV14'('SKOLEMAAAV16'),tptp4),
inference('UR-RESOLVE',[status(thm)],[61,77,78,79,80]) ).
cnf(93,plain,
min_precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV14'('SKOLEMAAAV16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[62,77,78,79,80]) ).
cnf(94,plain,
min_precedes('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[64,77,78,79,80]) ).
cnf(107,plain,
arboreal('SKOLEMAAAV13'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[30,90,70]) ).
cnf(144,plain,
occurrence_of('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV14'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[9,93]) ).
cnf(146,plain,
subactivity_occurrence('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV14'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[10,93]) ).
cnf(155,plain,
precedes('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[47,94]) ).
cnf(192,plain,
earlier('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[41,155]) ).
cnf(266,plain,
~ leaf_occ('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV14'('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[15,144,93]) ).
cnf(404,plain,
occurrence_of('SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,146,144,107]),266]) ).
cnf(405,plain,
next_subocc('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,146,144,107]),266]) ).
cnf(416,plain,
~ occurrence_of('SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp4),
inference('UR-RESOLVE',[status(thm)],[14,404,71]) ).
cnf(423,plain,
min_precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[50,405]) ).
cnf(424,plain,
~ min_precedes('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')),tptp0),
inference('UR-RESOLVE',[status(thm)],[51,405,93]) ).
cnf(592,plain,
precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[47,423]) ).
cnf(606,plain,
( 'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')) = 'SKOLEMAAAV14'('SKOLEMAAAV16')
| 'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')) = 'SKOLEMAAAV15'('SKOLEMAAAV16') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,423,77,78,79]),80]) ).
cnf(607,plain,
~ precedes('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[58,424,93,423]) ).
cnf(629,plain,
legal('SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[42,592]) ).
cnf(632,plain,
~ earlier('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[43,607,629]) ).
cnf(4813,plain,
'SKOLEMAAAV13'('SKOLEMAAAV13'('SKOLEMAAAV16')) = 'SKOLEMAAAV14'('SKOLEMAAAV16'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[192,606,theory(equality)]),632]) ).
cnf(4814,plain,
$false,
inference('REWRITE',[status(thm)],[91,416,4813,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.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 : Mon Jun 13 03:02:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:02:50
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-13T03:02:50
% 0.20/0.51 WARNING:
% 0.20/0.51 |activity| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 6.04/6.22
% 6.04/6.22
% 6.04/6.22 #||
% 6.04/6.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.04/6.22 % SZS output start Refutation
% See solution above
% 6.04/6.23 ||#
% 6.04/6.23
% 6.04/6.23 ; Summary of computation:
% 6.04/6.23 ; 15656 formulas have been input or derived (from 2548 formulas).
% 6.04/6.23 ; 4814 (31%) were retained. Of these,
% 6.04/6.23 ; 2696 (56%) were simplified or subsumed later,
% 6.04/6.23 ; 2118 (44%) are still being kept.
% 6.04/6.23 ;
% 6.04/6.23 ; Run time in seconds excluding printing time:
% 6.04/6.23 ; 0.011 0% Read assertion file (1 call)
% 6.04/6.23 ; 0.003 0% Assert (46 calls)
% 6.04/6.23 ; 0.282 5% Process new row (11,127 calls)
% 6.04/6.23 ; 5.016 87% Resolution (5,094 calls)
% 6.04/6.23 ; 0.026 0% Paramodulation (2,547 calls)
% 6.04/6.23 ; 0.001 0% Factoring (75 calls)
% 6.04/6.23 ; 0.004 0% Condensing (931 calls)
% 6.04/6.23 ; 0.048 1% Forward subsumption (931 calls)
% 6.04/6.23 ; 0.011 0% Backward subsumption (596 calls)
% 6.04/6.23 ; 0.001 0% Clause clause subsumption (683 calls)
% 6.04/6.23 ; 0.100 2% Forward simplification (10,914 calls)
% 6.04/6.23 ; 0.134 2% Backward simplification (4,814 calls)
% 6.04/6.23 ; 0.012 0% Ordering (7,086 calls)
% 6.04/6.23 ; 0.000 0% Sortal reasoning (32 calls)
% 6.04/6.23 ; 0.001 0% Purity testing (1 call)
% 6.04/6.23 ; 0.086 1% Other
% 6.04/6.23 ; 5.736 Total
% 6.04/6.23 ; 5.740 Real time
% 6.04/6.23 ;
% 6.04/6.23 ; Term-hash-array has 5,382 terms in all.
% 6.04/6.23 ; Feature-vector-row-index has 381 entries (547 at peak, 596 added, 215 deleted).
% 6.04/6.23 ; Feature-vector-row-index has 3,053 nodes (4,253 at peak, 4,668 added, 1,615 deleted).
% 6.04/6.23 ; Retrieved 841 possibly forward subsuming rows in 931 calls.
% 6.04/6.23 ; Retrieved 67 possibly backward subsumed rows in 596 calls.
% 6.04/6.23 ; Path-index has 2,465 entries (4,967 at peak, 5,415 added, 2,950 deleted).
% 6.04/6.23 ; Path-index has 6,725 nodes (7,705 at peak, 8,009 added, 1,284 deleted).
% 6.04/6.23 ; Trie-index has 2,465 entries (4,967 at peak, 5,415 added, 2,950 deleted).
% 6.04/6.23 ; Trie-index has 11,156 nodes (20,750 at peak, 22,561 added, 11,405 deleted).
% 6.04/6.23 ; Retrieved 6,440 generalization terms in 17,439 calls.
% 6.04/6.23 ; Retrieved 4,262 instance terms in 4,217 calls.
% 6.04/6.23 ; Retrieved 5,604,466 unifiable terms in 1,429,583 calls.
% 6.04/6.23 ;
% 6.04/6.23 ; The agenda of backward simplifiable rows to process has 2287 entries:
% 6.04/6.23 ; 2287 with value 0
% 6.04/6.23 ; The agenda of rows to process has 296 entries:
% 6.04/6.23 ; 1 with value 24 31 with value 30 3 with value 35
% 6.04/6.23 ; 6 with value 25 43 with value 31 7 with value 36
% 6.04/6.23 ; 4 with value 26 60 with value 32 2 with value 37
% 6.04/6.23 ; 14 with value 27 68 with value 33 1 with value 40
% 6.04/6.23 ; 17 with value 28 21 with value 34 1 with value 41
% 6.04/6.23 ; 17 with value 29
% 6.04/6.23 ; The agenda of rows to give has 929 entries:
% 6.04/6.23 ; 1 with value (4 15) 15 with value (4 32) 8 with value (4 42)
% 6.04/6.23 ; 230 with value (4 23) 13 with value (4 33) 6 with value (4 43)
% 6.04/6.23 ; 177 with value (4 24) 8 with value (4 34) 3 with value (4 44)
% 6.04/6.23 ; 101 with value (4 25) 14 with value (4 35) 2 with value (4 45)
% 6.04/6.23 ; 106 with value (4 26) 6 with value (4 36) 5 with value (4 46)
% 6.04/6.23 ; 51 with value (4 27) 3 with value (4 37) 8 with value (4 47)
% 6.04/6.23 ; 35 with value (4 28) 3 with value (4 38) 2 with value (4 48)
% 6.04/6.23 ; 40 with value (4 29) 5 with value (4 39) 2 with value (4 51)
% 6.04/6.23 ; 35 with value (4 30) 6 with value (4 40) 2 with value (4 52)
% 6.04/6.23 ; 27 with value (4 31) 11 with value (4 41) 4 with value (4 53)
% 6.04/6.23 Evaluation took:
% 6.04/6.23 5.741 seconds of real time
% 6.04/6.23 5.602514 seconds of user run time
% 6.04/6.23 0.138009 seconds of system run time
% 6.04/6.23 [Run times include 0.463 seconds GC run time.]
% 6.04/6.23 0 calls to %EVAL
% 6.04/6.23 0 page faults and
% 6.04/6.23 666,244,488 bytes consed.
% 6.04/6.23 :PROOF-FOUND
% 6.04/6.23 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:02:56
% 6.04/6.23 :PROOF-FOUND
% 6.04/6.23 *
%------------------------------------------------------------------------------