TSTP Solution File: PRO018+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 9.54s 9.72s
% Output : Refutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 35 ( 21 unt; 7 nHn; 35 RR)
% Number of literals : 73 ( 7 equ; 37 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 35 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ next_subocc(X,Y,Z)
| min_precedes(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(6,axiom,
( ~ next_subocc(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ min_precedes(U,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(27,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
cnf(43,axiom,
( ~ occurrence_of(X,Y)
| ~ leaf_occ(Z,X)
| ~ min_precedes(Z,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
cnf(44,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAV9'(Z,X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
cnf(48,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAV9'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
cnf(64,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAV15'(Y),tptp3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(65,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| next_subocc(Y,'SKOLEMAAAV15'(Y),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(66,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| occurrence_of('SKOLEMAAAV16'(Y),tptp4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(67,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| min_precedes('SKOLEMAAAV15'(Y),'SKOLEMAAAV16'(Y),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(69,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| min_precedes('SKOLEMAAAV16'(Y),'SKOLEMAAAV17'(Y),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(70,axiom,
( ~ occurrence_of(X,tptp0)
| ~ subactivity_occurrence(Y,X)
| ~ arboreal(Y)
| leaf_occ(Y,X)
| ~ min_precedes('SKOLEMAAAV15'(Y),Z,tptp0)
| Z = 'SKOLEMAAAV16'(Y)
| Z = 'SKOLEMAAAV17'(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
cnf(76,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
cnf(77,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
cnf(83,negated_conjecture,
occurrence_of('SKOLEMAAAV19',tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(84,negated_conjecture,
subactivity_occurrence('SKOLEMAAAV18','SKOLEMAAAV19'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(85,negated_conjecture,
arboreal('SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(86,negated_conjecture,
~ leaf_occ('SKOLEMAAAV18','SKOLEMAAAV19'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(107,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV18'),tptp3),
inference('UR-RESOLVE',[status(thm)],[64,83,84,85,86]) ).
cnf(108,plain,
occurrence_of('SKOLEMAAAV16'('SKOLEMAAAV18'),tptp4),
inference('UR-RESOLVE',[status(thm)],[66,83,84,85,86]) ).
cnf(110,plain,
min_precedes('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18'),tptp0),
inference('UR-RESOLVE',[status(thm)],[67,83,84,85,86]) ).
cnf(111,plain,
min_precedes('SKOLEMAAAV16'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV18'),tptp0),
inference('UR-RESOLVE',[status(thm)],[69,83,84,85,86]) ).
cnf(128,plain,
arboreal('SKOLEMAAAV15'('SKOLEMAAAV18')),
inference('HYPERRESOLVE',[status(thm)],[27,107,76]) ).
cnf(174,plain,
occurrence_of('SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[47,110]) ).
cnf(178,plain,
subactivity_occurrence('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18'))),
inference('HYPERRESOLVE',[status(thm)],[48,110]) ).
cnf(189,plain,
~ next_subocc('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV17'('SKOLEMAAAV18'),tptp0),
inference('UR-RESOLVE',[status(thm)],[6,111,110]) ).
cnf(342,plain,
~ leaf_occ('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV9'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV16'('SKOLEMAAAV18'))),
inference('UR-RESOLVE',[status(thm)],[43,174,110]) ).
cnf(509,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[64,178,174,128]),342]) ).
cnf(510,plain,
next_subocc('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,178,174,128]),342]) ).
cnf(523,plain,
~ occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp4),
inference('UR-RESOLVE',[status(thm)],[44,509,77]) ).
cnf(538,plain,
min_precedes('SKOLEMAAAV15'('SKOLEMAAAV18'),'SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[5,510]) ).
cnf(835,plain,
( 'SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')) = 'SKOLEMAAAV16'('SKOLEMAAAV18')
| 'SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')) = 'SKOLEMAAAV17'('SKOLEMAAAV18') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[70,538,83,84,85]),86]) ).
cnf(14268,plain,
'SKOLEMAAAV15'('SKOLEMAAAV15'('SKOLEMAAAV18')) = 'SKOLEMAAAV16'('SKOLEMAAAV18'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[189,835,theory(equality)]),510]) ).
cnf(14269,plain,
$false,
inference('REWRITE',[status(thm)],[108,523,14268,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 03:39:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:39:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T03:39:52
% 9.54/9.72
% 9.54/9.72
% 9.54/9.72 #||
% 9.54/9.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.54/9.72 % SZS output start Refutation
% See solution above
% 9.54/9.72 ||#
% 9.54/9.72
% 9.54/9.72 ; Summary of computation:
% 9.54/9.72 ; 54718 formulas have been input or derived (from 4345 formulas).
% 9.54/9.72 ; 14269 (26%) were retained. Of these,
% 9.54/9.72 ; 9737 (68%) were simplified or subsumed later,
% 9.54/9.72 ; 4532 (32%) are still being kept.
% 9.54/9.72 ;
% 9.54/9.72 ; Run time in seconds excluding printing time:
% 9.54/9.72 ; 0.010 0% Read assertion file (1 call)
% 9.54/9.72 ; 0.004 0% Assert (46 calls)
% 9.54/9.72 ; 0.985 11% Process new row (40,505 calls)
% 9.54/9.72 ; 6.854 74% Resolution (8,688 calls)
% 9.54/9.72 ; 0.051 1% Paramodulation (4,344 calls)
% 9.54/9.72 ; 0.000 0% Factoring (111 calls)
% 9.54/9.72 ; 0.003 0% Condensing (2,328 calls)
% 9.54/9.72 ; 0.189 2% Forward subsumption (2,328 calls)
% 9.54/9.72 ; 0.051 1% Backward subsumption (1,123 calls)
% 9.54/9.72 ; 0.002 0% Clause clause subsumption (2,168 calls)
% 9.54/9.72 ; 0.341 4% Forward simplification (40,231 calls)
% 9.54/9.72 ; 0.574 6% Backward simplification (14,269 calls)
% 9.54/9.72 ; 0.003 0% Ordering (3,083 calls)
% 9.54/9.72 ; 0.000 0% Sortal reasoning (32 calls)
% 9.54/9.72 ; 0.000 0% Purity testing (1 call)
% 9.54/9.72 ; 0.186 2% Other
% 9.54/9.72 ; 9.253 Total
% 9.54/9.72 ; 9.255 Real time
% 9.54/9.72 ;
% 9.54/9.72 ; Term-hash-array has 15,856 terms in all.
% 9.54/9.72 ; Feature-vector-row-index has 666 entries (1,088 at peak, 1,123 added, 457 deleted).
% 9.54/9.72 ; Feature-vector-row-index has 5,705 nodes (8,977 at peak, 9,274 added, 3,569 deleted).
% 9.54/9.72 ; Retrieved 3,764 possibly forward subsuming rows in 2,328 calls.
% 9.54/9.72 ; Retrieved 141 possibly backward subsumed rows in 1,123 calls.
% 9.54/9.72 ; Path-index has 5,233 entries (14,874 at peak, 15,897 added, 10,664 deleted).
% 9.54/9.72 ; Path-index has 9,655 nodes (11,396 at peak, 11,671 added, 2,016 deleted).
% 9.54/9.72 ; Trie-index has 5,233 entries (14,874 at peak, 15,897 added, 10,664 deleted).
% 9.54/9.72 ; Trie-index has 24,261 nodes (60,487 at peak, 65,192 added, 40,931 deleted).
% 9.54/9.72 ; Retrieved 26,319 generalization terms in 48,884 calls.
% 9.54/9.72 ; Retrieved 13,277 instance terms in 13,145 calls.
% 9.54/9.72 ; Retrieved 5,180,781 unifiable terms in 1,536,133 calls.
% 9.54/9.72 ;
% 9.54/9.72 ; The agenda of backward simplifiable rows to process has 8713 entries:
% 9.54/9.72 ; 8713 with value 0
% 9.54/9.72 ; The agenda of rows to process has 658 entries:
% 9.54/9.72 ; 2 with value 25 64 with value 30 37 with value 35
% 9.54/9.72 ; 10 with value 26 80 with value 31 26 with value 36
% 9.54/9.72 ; 27 with value 27 118 with value 32 3 with value 37
% 9.54/9.72 ; 47 with value 28 102 with value 33 1 with value 40
% 9.54/9.72 ; 57 with value 29 83 with value 34 1 with value 41
% 9.54/9.72 ; The agenda of rows to give has 2736 entries:
% 9.54/9.72 ; 1 with value (4 15) 19 with value (4 34) 8 with value (4 46)
% 9.54/9.72 ; 414 with value (4 23) 16 with value (4 35) 11 with value (4 47)
% 9.54/9.72 ; 391 with value (4 24) 15 with value (4 36) 6 with value (4 48)
% 9.54/9.72 ; 326 with value (4 25) 12 with value (4 37) 3 with value (4 49)
% 9.54/9.72 ; 349 with value (4 26) 17 with value (4 38) 8 with value (4 50)
% 9.54/9.72 ; 296 with value (4 27) 9 with value (4 39) 6 with value (4 51)
% 9.54/9.72 ; 240 with value (4 28) 9 with value (4 40) 7 with value (4 52)
% 9.54/9.72 ; 151 with value (4 29) 10 with value (4 41) 3 with value (4 53)
% 9.54/9.72 ; 112 with value (4 30) 14 with value (4 42) 4 with value (4 54)
% 9.54/9.72 ; 110 with value (4 31) 6 with value (4 43) 1 with value (4 55)
% 9.54/9.72 ; 81 with value (4 32) 6 with value (4 44) 1 with value (4 58)
% 9.54/9.72 ; 69 with value (4 33) 5 with value (4 45)
% 9.54/9.72 Evaluation took:
% 9.54/9.72 9.257 seconds of real time
% 9.54/9.72 8.841014 seconds of user run time
% 9.54/9.72 0.415995 seconds of system run time
% 9.54/9.72 [Run times include 1.347 seconds GC run time.]
% 9.54/9.72 0 calls to %EVAL
% 9.54/9.72 0 page faults and
% 9.54/9.72 935,597,752 bytes consed.
% 9.54/9.72 :PROOF-FOUND
% 9.54/9.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T03:40:02
% 9.54/9.72 :PROOF-FOUND
% 9.54/9.72 *
%------------------------------------------------------------------------------