%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO012+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 17:53:21 EDT 2022
% Result : Theorem 0.46s 0.67s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 42 ( 22 unt; 3 nHn; 42 RR)
% Number of literals : 77 ( 2 equ; 37 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 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/sandbox/benchmark/theBenchmark.p',sos_04) ).
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(11,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAV3'(Z,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(16,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ min_precedes(U,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
cnf(20,axiom,
( ~ legal(X)
| arboreal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
cnf(30,axiom,
( ~ occurrence_of(X,Y)
| arboreal(X)
| ~ atomic(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
cnf(31,axiom,
( ~ root(X,Y)
| legal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
cnf(44,axiom,
( ~ min_precedes(X,Y,Z)
| ~ root(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
cnf(45,axiom,
( ~ min_precedes(X,Y,Z)
| root('SKOLEMAAAV11'(Z,Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
cnf(46,axiom,
( ~ min_precedes(X,Y,Z)
| min_precedes('SKOLEMAAAV11'(Z,Y),Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
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_27) ).
cnf(59,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAV13'(X),tptp3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(60,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAV13'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(62,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV13'(X),'SKOLEMAAAV14'(X),tptp0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(64,axiom,
( ~ occurrence_of(X,tptp0)
| min_precedes('SKOLEMAAAV14'(X),'SKOLEMAAAV15'(X),tptp0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
cnf(70,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
cnf(77,negated_conjecture,
occurrence_of('SKOLEMAAAV16',tptp0),
file('/export/starexec/sandbox/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) ),
file('/export/starexec/sandbox/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) ),
file('/export/starexec/sandbox/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,
min_precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV14'('SKOLEMAAAV16'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[62,77]) ).
cnf(86,plain,
min_precedes('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[64,77]) ).
cnf(89,plain,
( occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp2)
| occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp1) ),
inference('HYPERRESOLVE',[status(thm)],[63,77]) ).
cnf(100,plain,
arboreal('SKOLEMAAAV13'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[30,82,70]) ).
cnf(106,plain,
~ min_precedes(X,'SKOLEMAAAV13'('SKOLEMAAAV16'),tptp0),
inference('UR-RESOLVE',[status(thm)],[16,83,77]) ).
cnf(151,plain,
root('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[45,86]) ).
cnf(152,plain,
min_precedes('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,86]) ).
cnf(153,plain,
occurrence_of('SKOLEMAAAV3'(tptp0,'SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[9,86]) ).
cnf(154,plain,
subactivity_occurrence('SKOLEMAAAV15'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[11,86]) ).
cnf(155,plain,
subactivity_occurrence('SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[10,86]) ).
cnf(184,plain,
legal('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[31,151]) ).
cnf(185,plain,
~ min_precedes(X,'SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),tptp0),
inference('UR-RESOLVE',[status(thm)],[44,151]) ).
cnf(194,plain,
arboreal('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[20,184]) ).
cnf(328,plain,
subactivity_occurrence('SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[54,154,152,153]) ).
cnf(329,plain,
subactivity_occurrence('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV3'(tptp0,'SKOLEMAAAV14'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[54,155,85,153]) ).
cnf(506,plain,
'SKOLEMAAAV13'('SKOLEMAAAV16') = 'SKOLEMAAAV11'(tptp0,'SKOLEMAAAV15'('SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[6,328,153,194,100,329,106,185]) ).
cnf(507,plain,
min_precedes('SKOLEMAAAV13'('SKOLEMAAAV16'),'SKOLEMAAAV15'('SKOLEMAAAV16'),tptp0),
inference('REWRITE',[status(thm)],[152,506,theory(equality)]) ).
cnf(529,plain,
occurrence_of('SKOLEMAAAV15'('SKOLEMAAAV16'),tptp1),
inference('HYPERRESOLVE',[status(thm)],[78,507,82,83,89]) ).
cnf(530,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[79,507,82,83]),529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO012+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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
% 0.12/0.34 % DateTime : Mon Jun 13 03:48:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<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 2022-06-13T03:48:41
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-13T03:48:41
% 0.19/0.49 WARNING:
% 0.19/0.49 |activity| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67
% 0.46/0.67
% 0.46/0.67 #||
% 0.46/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.67 % SZS output start Refutation
% See solution above
% 0.46/0.67 ||#
% 0.46/0.67
% 0.46/0.67 ; Summary of computation:
% 0.46/0.67 ; 1312 formulas have been input or derived (from 309 formulas).
% 0.46/0.67 ; 530 (40%) were retained. Of these,
% 0.46/0.67 ; 135 (25%) were simplified or subsumed later,
% 0.46/0.67 ; 395 (75%) are still being kept.
% 0.46/0.67 ;
% 0.46/0.67 ; Run time in seconds excluding printing time:
% 0.46/0.67 ; 0.010 5% Read assertion file (1 call)
% 0.46/0.67 ; 0.004 2% Assert (46 calls)
% 0.46/0.67 ; 0.031 15% Process new row (999 calls)
% 0.46/0.67 ; 0.086 42% Resolution (616 calls)
% 0.46/0.67 ; 0.001 0% Paramodulation (308 calls)
% 0.46/0.67 ; 0.000 0% Factoring (2 calls)
% 0.46/0.67 ; 0.002 1% Condensing (106 calls)
% 0.46/0.67 ; 0.005 2% Forward subsumption (106 calls)
% 0.46/0.67 ; 0.002 1% Backward subsumption (102 calls)
% 0.46/0.67 ; 0.000 0% Clause clause subsumption (21 calls)
% 0.46/0.67 ; 0.020 10% Forward simplification (947 calls)
% 0.46/0.67 ; 0.010 5% Backward simplification (530 calls)
% 0.46/0.67 ; 0.000 0% Ordering (80 calls)
% 0.46/0.67 ; 0.001 0% Sortal reasoning (32 calls)
% 0.46/0.67 ; 0.000 0% Purity testing (1 call)
% 0.46/0.67 ; 0.031 15% Other
% 0.46/0.67 ; 0.203 Total
% 0.46/0.67 ; 0.206 Real time
% 0.46/0.67 ;
% 0.46/0.67 ; Term-hash-array has 672 terms in all.
% 0.46/0.67 ; Feature-vector-row-index has 88 entries (96 at peak, 102 added, 14 deleted).
% 0.46/0.67 ; Feature-vector-row-index has 398 nodes (455 at peak, 497 added, 99 deleted).
% 0.46/0.67 ; Retrieved 22 possibly forward subsuming rows in 106 calls.
% 0.46/0.67 ; Retrieved 14 possibly backward subsumed rows in 102 calls.
% 0.46/0.67 ; Path-index has 523 entries (618 at peak, 684 added, 161 deleted).
% 0.46/0.67 ; Path-index has 1,955 nodes (2,077 at peak, 2,149 added, 194 deleted).
% 0.46/0.67 ; Trie-index has 523 entries (618 at peak, 684 added, 161 deleted).
% 0.46/0.67 ; Trie-index has 2,063 nodes (2,622 at peak, 2,886 added, 823 deleted).
% 0.46/0.67 ; Retrieved 402 generalization terms in 997 calls.
% 0.46/0.67 ; Retrieved 427 instance terms in 427 calls.
% 0.46/0.67 ; Retrieved 70,501 unifiable terms in 18,133 calls.
% 0.46/0.67 ;
% 0.46/0.67 ; The agenda of rows to process has 29 entries:
% 0.46/0.67 ; 1 with value 9 5 with value 14 4 with value 19
% 0.46/0.67 ; 1 with value 10 10 with value 15 1 with value 20
% 0.46/0.67 ; 1 with value 11 2 with value 16 2 with value 24
% 0.46/0.67 ; 1 with value 12 1 with value 17
% 0.46/0.67 ; The agenda of rows to give has 141 entries:
% 0.46/0.67 ; 1 with value (4 9) 11 with value (4 21) 6 with value (4 28)
% 0.46/0.67 ; 3 with value (4 14) 5 with value (4 22) 6 with value (4 29)
% 0.46/0.67 ; 3 with value (4 15) 10 with value (4 23) 3 with value (4 30)
% 0.46/0.67 ; 6 with value (4 16) 5 with value (4 24) 2 with value (4 32)
% 0.46/0.67 ; 25 with value (4 17) 1 with value (4 25) 2 with value (4 36)
% 0.46/0.67 ; 16 with value (4 18) 4 with value (4 26) 2 with value (4 37)
% 0.46/0.67 ; 17 with value (4 19) 2 with value (4 27) 2 with value (4 43)
% 0.46/0.67 ; 9 with value (4 20)
% 0.46/0.67 Evaluation took:
% 0.46/0.67 0.206 seconds of real time
% 0.46/0.67 0.193672 seconds of user run time
% 0.46/0.67 0.013107 seconds of system run time
% 0.46/0.67 [Run times include 0.009 seconds GC run time.]
% 0.46/0.67 0 calls to %EVAL
% 0.46/0.67 0 page faults and
% 0.46/0.67 15,992,768 bytes consed.
% 0.46/0.67 :PROOF-FOUND
% 0.46/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:48:42
% 0.46/0.67 :PROOF-FOUND
% 0.46/0.67 *
%------------------------------------------------------------------------------